[
  {
    "ground_truth_cities": "Helsinki**Barcelona**Florence",
    "ground_truth_durations": "5**5**6",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Helsinki",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 6 days. You want to meet a friend in Florence between day 9 and day 14. You would like to visit Barcelona for 5 days. You would like to visit Helsinki for 5 days.\n\nHere are the cities that have direct flights:\nBarcelona and Florence, Helsinki and Barcelona.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 6 days. You want to meet a friend in Florence between day 9 and day 14. You would like to visit Barcelona for 5 days. You would like to visit Helsinki for 5 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Florence, from Helsinki to Barcelona.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-14:** Visit Florence for 6 days.",
    "id": "trip_planning_example_0",
    "estimated_output_tokens": 992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Barcelona, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Helsinki] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 9 - 14).\n |- The departure day of Barcelona is Day 5. The arrival day of Florence is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 9 - 14).\n |- The departure day of Helsinki is Day 5. The arrival day of Florence is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 9 - 14).\n   |- The departure day of Barcelona is Day 9. The arrival day of Florence is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Helsinki, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Barcelona to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Helsinki, Barcelona, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-14:** Visit Florence for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Manchester**Split",
    "ground_truth_durations": "7**4**6",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. You want to spend 4 days in Manchester. You want to spend 7 days in Riga.\n\nHere are the cities that have direct flights:\nRiga and Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. You want to spend 4 days in Manchester. You want to spend 7 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Riga to Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Split.\n**Day 10-15:** Visit Split for 6 days.",
    "id": "trip_planning_example_1",
    "estimated_output_tokens": 1405,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 6 days.\n* City: Manchester, Duration: 4 days.\n* City: Riga, Duration: 7 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Split, Duration: 6 days.\n* City: Manchester, Duration: 4 days.\n* City: Riga, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Manchester, Riga] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Split to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Riga] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Manchester to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Manchester, Split].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Split to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Manchester to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Manchester] and explore these options in order.\n   |- Try arranging to visit Split from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Riga to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Riga, Manchester].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Riga, Manchester, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Split.\n**Day 10-15:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Vienna**Venice",
    "ground_truth_durations": "2**7**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 2 days. You want to spend 7 days in Vienna. You would like to visit Venice for 4 days. You are going to attend a wedding in Venice between day 8 and day 11.\n\nHere are the cities that have direct flights:\nReykjavik and Vienna, Vienna and Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 2 days. You want to spend 7 days in Vienna. You would like to visit Venice for 4 days. You are going to attend a wedding in Venice between day 8 and day 11.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Vienna, from Vienna to Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Vienna.\n**Day 2-8:** Visit Vienna for 7 days.\n**Day 8:** Fly from Vienna to Venice.\n**Day 8-11:** Visit Venice for 4 days.",
    "id": "trip_planning_example_2",
    "estimated_output_tokens": 781,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days.\n* City: Vienna, Duration: 7 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Vienna, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Vienna] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 11).\n |- The departure day of Reykjavik is Day 2. The arrival day of Venice is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 8 - 11).\n   |- The departure day of Vienna is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Vienna, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Vienna.\n**Day 2-8:** Visit Vienna for 7 days.\n**Day 8:** Fly from Vienna to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Warsaw**Bucharest",
    "ground_truth_durations": "3**3**2",
    "num_cities": 3,
    "total_days": 6,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 5 and day 6. You would like to visit Berlin for 3 days. You would like to visit Warsaw for 3 days.\n\nHere are the cities that have direct flights:\nBerlin and Warsaw, Warsaw and Bucharest.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 5 and day 6. You would like to visit Berlin for 3 days. You would like to visit Warsaw for 3 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Warsaw, from Warsaw to Bucharest.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 6 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Warsaw.\n**Day 3-5:** Visit Warsaw for 3 days.\n**Day 5:** Fly from Warsaw to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_3",
    "estimated_output_tokens": 754,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Berlin, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Warsaw] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 6).\n |- The departure day of Berlin is Day 3. The arrival day of Bucharest is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 5 - 6).\n   |- The departure day of Warsaw is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Warsaw to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Warsaw, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Warsaw.\n**Day 3-5:** Visit Warsaw for 3 days.\n**Day 5:** Fly from Warsaw to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Tallinn",
    "ground_truth_durations": "7**5**2",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You want to meet a friend in Tallinn between day 11 and day 12. You would like to visit Seville for 7 days. You plan to stay in Munich for 5 days.\n\nHere are the cities that have direct flights:\nSeville and Munich, Munich and Tallinn.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You want to meet a friend in Tallinn between day 11 and day 12. You would like to visit Seville for 7 days. You plan to stay in Munich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Munich, from Munich to Tallinn.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_4",
    "estimated_output_tokens": 768,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Seville, Duration: 7 days.\n* City: Munich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Seville, Duration: 7 days.\n* City: Munich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Munich] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 11 - 12).\n |- The departure day of Seville is Day 7. The arrival day of Tallinn is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n   |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 12).\n   |- The departure day of Munich is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Seville, Munich, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Oslo**Dubrovnik",
    "ground_truth_durations": "7**6**5",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 6 days. You plan to stay in Porto for 7 days. You would like to visit Dubrovnik for 5 days. During day 12 and day 16, you have to attend a conference in Dubrovnik.\n\nHere are the cities that have direct flights:\nOslo and Dubrovnik, Porto and Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 6 days. You plan to stay in Porto for 7 days. You would like to visit Dubrovnik for 5 days. During day 12 and day 16, you have to attend a conference in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Oslo to Dubrovnik, from Porto to Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Porto and visit Porto for 7 days.\n**Day 7:** Fly from Porto to Oslo.\n**Day 7-12:** Visit Oslo for 6 days.\n**Day 12:** Fly from Oslo to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_5",
    "estimated_output_tokens": 1020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 6 days.\n* City: Porto, Duration: 7 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Porto, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Porto] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 16).\n |- The departure day of Oslo is Day 6. The arrival day of Dubrovnik is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n   |- Try arranging to visit Porto from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Oslo to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 16).\n |- The departure day of Porto is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Porto to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 16).\n   |- The departure day of Oslo is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Porto, Oslo].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Oslo to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Porto, Oslo, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Porto and visit Porto for 7 days.\n**Day 7:** Fly from Porto to Oslo.\n**Day 7-12:** Visit Oslo for 6 days.\n**Day 12:** Fly from Oslo to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Munich**Dubrovnik",
    "ground_truth_durations": "4**3**3",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You would like to visit Berlin for 4 days. During day 1 and day 4, you have to attend a conference in Berlin. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nMunich and Dubrovnik, Berlin and Munich.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You would like to visit Berlin for 4 days. During day 1 and day 4, you have to attend a conference in Berlin. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Dubrovnik, from Berlin to Munich.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_6",
    "estimated_output_tokens": 737,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Munich] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Berlin to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Berlin to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Munich, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Venice",
    "ground_truth_durations": "4**3**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 6 days. You would like to visit Dubrovnik for 4 days. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Istanbul, Istanbul and Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 6 days. You would like to visit Dubrovnik for 4 days. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Istanbul, from Istanbul to Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-6:** Visit Istanbul for 3 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-11:** Visit Venice for 6 days.",
    "id": "trip_planning_example_7",
    "estimated_output_tokens": 995,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 6 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Venice, Duration: 6 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Dubrovnik, Istanbul] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Venice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Venice to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Istanbul] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dubrovnik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Istanbul to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dubrovnik, Istanbul, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-6:** Visit Istanbul for 3 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-11:** Visit Venice for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Zurich**Krakow",
    "ground_truth_durations": "7**5**6",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Athens",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Krakow. You would like to visit Athens for 7 days. You plan to visit relatives in Athens between day 1 and day 7. You would like to visit Zurich for 5 days.\n\nHere are the cities that have direct flights:\nZurich and Krakow, Athens and Zurich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Krakow. You would like to visit Athens for 7 days. You plan to visit relatives in Athens between day 1 and day 7. You would like to visit Zurich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Krakow, from Athens to Zurich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Athens and visit Athens for 7 days.\n**Day 7:** Fly from Athens to Zurich.\n**Day 7-11:** Visit Zurich for 5 days.\n**Day 11:** Fly from Zurich to Krakow.\n**Day 11-16:** Visit Krakow for 6 days.",
    "id": "trip_planning_example_8",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 6 days.\n* City: Athens, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Zurich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Krakow, Duration: 6 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Zurich] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Athens to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Athens to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Athens, Zurich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Zurich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Athens, Zurich, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Athens and visit Athens for 7 days.\n**Day 7:** Fly from Athens to Zurich.\n**Day 7-11:** Visit Zurich for 5 days.\n**Day 11:** Fly from Zurich to Krakow.\n**Day 11-16:** Visit Krakow for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Frankfurt**Stuttgart",
    "ground_truth_durations": "3**3**6",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You want to spend 3 days in Bucharest. You would like to visit Stuttgart for 6 days. You have to attend a workshop in Stuttgart between day 5 and day 10.\n\nHere are the cities that have direct flights:\nBucharest and Frankfurt, Frankfurt and Stuttgart.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You want to spend 3 days in Bucharest. You would like to visit Stuttgart for 6 days. You have to attend a workshop in Stuttgart between day 5 and day 10.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Frankfurt, from Frankfurt to Stuttgart.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Frankfurt.\n**Day 3-5:** Visit Frankfurt for 3 days.\n**Day 5:** Fly from Frankfurt to Stuttgart.\n**Day 5-10:** Visit Stuttgart for 6 days.",
    "id": "trip_planning_example_9",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 10).\n |- The departure day of Frankfurt is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 10).\n |- The departure day of Bucharest is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 10).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Frankfurt, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Frankfurt.\n**Day 3-5:** Visit Frankfurt for 3 days.\n**Day 5:** Fly from Frankfurt to Stuttgart.\n**Day 5-10:** Visit Stuttgart for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Dublin**Valencia",
    "ground_truth_durations": "3**3**5",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Dublin"
      ],
      [
        "Dublin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. You want to spend 5 days in Valencia. You plan to visit relatives in Valencia between day 5 and day 9. You plan to stay in Dublin for 3 days.\n\nHere are the cities that have direct flights:\nOslo and Dublin, Dublin and Valencia.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. You want to spend 5 days in Valencia. You plan to visit relatives in Valencia between day 5 and day 9. You plan to stay in Dublin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Dublin, from Dublin to Valencia.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_10",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Dublin] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 9).\n |- The departure day of Oslo is Day 3. The arrival day of Valencia is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 5 - 9).\n   |- The departure day of Dublin is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Dublin, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Vienna**Valencia",
    "ground_truth_durations": "5**5**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Vilnius",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You plan to stay in Vilnius for 5 days. You plan to stay in Valencia for 7 days. During day 9 and day 15, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nVienna and Valencia, Vilnius and Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You plan to stay in Vilnius for 5 days. You plan to stay in Valencia for 7 days. During day 9 and day 15, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nfrom Vienna to Valencia, from Vilnius to Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Valencia.\n**Day 9-15:** Visit Valencia for 7 days.",
    "id": "trip_planning_example_11",
    "estimated_output_tokens": 1024,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Vilnius] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 9 - 15).\n |- The departure day of Vienna is Day 5. The arrival day of Valencia is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 9 - 15).\n |- The departure day of Vilnius is Day 5. The arrival day of Valencia is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 9 - 15).\n   |- The departure day of Vienna is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vilnius, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Vienna to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Vilnius, Vienna, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Valencia.\n**Day 9-15:** Visit Valencia for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Amsterdam**Tallinn",
    "ground_truth_durations": "5**5**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 9,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Valencia",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You want to spend 5 days in Amsterdam. You would like to visit Tallinn for 7 days. You want to meet a friend in Tallinn between day 9 and day 15.\n\nHere are the cities that have direct flights:\nAmsterdam and Tallinn, Valencia and Amsterdam.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You want to spend 5 days in Amsterdam. You would like to visit Tallinn for 7 days. You want to meet a friend in Tallinn between day 9 and day 15.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Tallinn, from Valencia to Amsterdam.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Tallinn.\n**Day 9-15:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_12",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Tallinn, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Amsterdam] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 9 - 15).\n |- The departure day of Valencia is Day 5. The arrival day of Tallinn is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 9 - 15).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Tallinn is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Valencia, Amsterdam, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Tallinn.\n**Day 9-15:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Bucharest**Lyon",
    "ground_truth_durations": "7**7**5",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You plan to visit relatives in Lyon between day 13 and day 17. You would like to visit Bucharest for 7 days. You want to spend 7 days in Manchester.\n\nHere are the cities that have direct flights:\nManchester and Bucharest, Bucharest and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You plan to visit relatives in Lyon between day 13 and day 17. You would like to visit Bucharest for 7 days. You want to spend 7 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Manchester to Bucharest, from Bucharest to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Bucharest.\n**Day 7-13:** Visit Bucharest for 7 days.\n**Day 13:** Fly from Bucharest to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_13",
    "estimated_output_tokens": 1006,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Bucharest, Duration: 7 days.\n* City: Manchester, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 7 days.\n* City: Manchester, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Manchester] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 13 - 17).\n |- The departure day of Bucharest is Day 7. The arrival day of Lyon is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Bucharest to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 13 - 17).\n |- The departure day of Manchester is Day 7. The arrival day of Lyon is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Manchester to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 13 - 17).\n   |- The departure day of Bucharest is Day 13. The arrival day of Lyon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Manchester, Bucharest].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Manchester, Bucharest, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Bucharest.\n**Day 7-13:** Visit Bucharest for 7 days.\n**Day 13:** Fly from Bucharest to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Frankfurt**Krakow",
    "ground_truth_durations": "7**2**3",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Lyon. You plan to stay in Krakow for 3 days. From day 8 to day 10, there is a annual show you want to attend in Krakow. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nLyon and Frankfurt, Frankfurt and Krakow.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Lyon. You plan to stay in Krakow for 3 days. From day 8 to day 10, there is a annual show you want to attend in Krakow. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Frankfurt, from Frankfurt to Krakow.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Frankfurt.\n**Day 7-8:** Visit Frankfurt for 2 days.\n**Day 8:** Fly from Frankfurt to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_14",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 7 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Frankfurt, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Lyon, Duration: 7 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Frankfurt] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 10).\n |- The departure day of Lyon is Day 7. The arrival day of Krakow is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 8 - 10).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Frankfurt to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Frankfurt, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Frankfurt.\n**Day 7-8:** Visit Frankfurt for 2 days.\n**Day 8:** Fly from Frankfurt to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Berlin**Porto",
    "ground_truth_durations": "5**6**2",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Porto"
      ],
      [
        "Krakow",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 6 days. You plan to stay in Porto for 2 days. You are going to attend a wedding in Porto between day 10 and day 11. You plan to stay in Krakow for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Porto, Krakow and Berlin.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 6 days. You plan to stay in Porto for 2 days. You are going to attend a wedding in Porto between day 10 and day 11. You plan to stay in Krakow for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Porto, from Krakow to Berlin.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Berlin.\n**Day 5-10:** Visit Berlin for 6 days.\n**Day 10:** Fly from Berlin to Porto.\n**Day 10-11:** Visit Porto for 2 days.",
    "id": "trip_planning_example_15",
    "estimated_output_tokens": 1005,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 6 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Krakow, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Berlin, Duration: 6 days.\n* City: Krakow, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Krakow] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 10 - 11).\n |- The departure day of Berlin is Day 6. The arrival day of Porto is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Berlin to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 10 - 11).\n |- The departure day of Krakow is Day 5. The arrival day of Porto is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 10 - 11).\n   |- The departure day of Berlin is Day 10. The arrival day of Porto is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Berlin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Berlin, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Berlin.\n**Day 5-10:** Visit Berlin for 6 days.\n**Day 10:** Fly from Berlin to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Vienna**Porto",
    "ground_truth_durations": "3**3**5",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Porto"
      ],
      [
        "Prague",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You have to attend a workshop in Prague between day 1 and day 3. You plan to stay in Vienna for 3 days. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nVienna and Porto, Prague and Vienna.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You have to attend a workshop in Prague between day 1 and day 3. You plan to stay in Vienna for 3 days. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Vienna to Porto, from Prague to Vienna.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Porto.\n**Day 5-9:** Visit Porto for 5 days.",
    "id": "trip_planning_example_16",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Porto] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Vienna, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Porto.\n**Day 5-9:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Vienna**Lyon",
    "ground_truth_durations": "5**4**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Vienna",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. During day 1 and day 5, you have to attend a conference in Copenhagen. You plan to stay in Vienna for 4 days. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Vienna, Vienna and Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. During day 1 and day 5, you have to attend a conference in Copenhagen. You plan to stay in Vienna for 4 days. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Vienna, from Vienna to Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_17",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Copenhagen to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Vienna, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Amsterdam**Bucharest",
    "ground_truth_durations": "2**5**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. You plan to stay in Vilnius for 2 days. You plan to stay in Bucharest for 6 days. You would like to meet your friends at Bucharest between day 6 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nAmsterdam and Bucharest, Vilnius and Amsterdam.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. You plan to stay in Vilnius for 2 days. You plan to stay in Bucharest for 6 days. You would like to meet your friends at Bucharest between day 6 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Bucharest, from Vilnius to Amsterdam.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Amsterdam.\n**Day 2-6:** Visit Amsterdam for 5 days.\n**Day 6:** Fly from Amsterdam to Bucharest.\n**Day 6-11:** Visit Bucharest for 6 days.",
    "id": "trip_planning_example_18",
    "estimated_output_tokens": 1038,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 6 - 11).\n |- The departure day of Amsterdam is Day 5. The arrival day of Bucharest is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Amsterdam to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 6 - 11).\n |- The departure day of Vilnius is Day 2. The arrival day of Bucharest is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 11).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Bucharest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Amsterdam to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Amsterdam, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Amsterdam.\n**Day 2-6:** Visit Amsterdam for 5 days.\n**Day 6:** Fly from Amsterdam to Bucharest.\n**Day 6-11:** Visit Bucharest for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Brussels**Valencia",
    "ground_truth_durations": "6**2**3",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Nice",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 2 days. You would like to visit Valencia for 3 days. You want to spend 6 days in Nice. You would like to meet your friends at Nice between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nBrussels and Valencia, Nice and Brussels.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 2 days. You would like to visit Valencia for 3 days. You want to spend 6 days in Nice. You would like to meet your friends at Nice between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Brussels to Valencia, from Nice to Brussels.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_19",
    "estimated_output_tokens": 671,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Nice, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Valencia] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Nice to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Nice, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Brussels to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Brussels, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Budapest",
    "ground_truth_durations": "3**5**6",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You would like to visit Budapest for 6 days. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nIstanbul and Budapest, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You would like to visit Budapest for 6 days. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Budapest, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Budapest.\n**Day 7-12:** Visit Budapest for 6 days.",
    "id": "trip_planning_example_20",
    "estimated_output_tokens": 1390,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Budapest, Duration: 6 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Budapest, Duration: 6 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Budapest, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Istanbul to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Istanbul, Budapest].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Budapest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Budapest to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Budapest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Istanbul to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dubrovnik, Istanbul, Budapest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Budapest.\n**Day 7-12:** Visit Budapest for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Vienna**Venice",
    "ground_truth_durations": "2**4**6",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You have to attend a workshop in Venice between day 5 and day 10. You want to spend 2 days in Mykonos. You plan to stay in Vienna for 4 days.\n\nHere are the cities that have direct flights:\nMykonos and Vienna, Vienna and Venice.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You have to attend a workshop in Venice between day 5 and day 10. You want to spend 2 days in Mykonos. You plan to stay in Vienna for 4 days.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Vienna, from Vienna to Venice.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Vienna.\n**Day 2-5:** Visit Vienna for 4 days.\n**Day 5:** Fly from Vienna to Venice.\n**Day 5-10:** Visit Venice for 6 days.",
    "id": "trip_planning_example_21",
    "estimated_output_tokens": 768,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Mykonos, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Vienna] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 10).\n |- The departure day of Mykonos is Day 2. The arrival day of Venice is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 5 - 10).\n   |- The departure day of Vienna is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Vienna to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Vienna, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Vienna.\n**Day 2-5:** Visit Vienna for 4 days.\n**Day 5:** Fly from Vienna to Venice.\n**Day 5-10:** Visit Venice for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Frankfurt**Bucharest",
    "ground_truth_durations": "7**4**2",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 4 days. You want to spend 2 days in Bucharest. You would like to visit Berlin for 7 days. From day 1 to day 7, there is a annual show you want to attend in Berlin.\n\nHere are the cities that have direct flights:\nBerlin and Frankfurt, Frankfurt and Bucharest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 4 days. You want to spend 2 days in Bucharest. You would like to visit Berlin for 7 days. From day 1 to day 7, there is a annual show you want to attend in Berlin.\n\nHere are the cities that have direct flights:\nfrom Berlin to Frankfurt, from Frankfurt to Bucharest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_22",
    "estimated_output_tokens": 680,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n* City: Berlin, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Berlin to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Berlin, Frankfurt].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Frankfurt to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Berlin, Frankfurt, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Bucharest**Riga",
    "ground_truth_durations": "3**3**4",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "London",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in London for 3 days. You plan to stay in Bucharest for 3 days. You want to spend 4 days in Riga. You have to attend a workshop in Riga between day 5 and day 8.\n\nHere are the cities that have direct flights:\nLondon and Bucharest, Bucharest and Riga.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in London for 3 days. You plan to stay in Bucharest for 3 days. You want to spend 4 days in Riga. You have to attend a workshop in Riga between day 5 and day 8.\n\nHere are the cities that have direct flights:\nfrom London to Bucharest, from Bucharest to Riga.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Bucharest.\n**Day 3-5:** Visit Bucharest for 3 days.\n**Day 5:** Fly from Bucharest to Riga.\n**Day 5-8:** Visit Riga for 4 days.",
    "id": "trip_planning_example_23",
    "estimated_output_tokens": 767,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Bucharest] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of London is Day 3. The arrival day of Riga is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 5 - 8).\n   |- The departure day of Bucharest is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Bucharest to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Bucharest, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Bucharest.\n**Day 3-5:** Visit Bucharest for 3 days.\n**Day 5:** Fly from Bucharest to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Amsterdam**Riga",
    "ground_truth_durations": "4**6**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 4 days. You have to attend a workshop in Florence between day 1 and day 4. You would like to visit Amsterdam for 6 days. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nFlorence and Amsterdam, Amsterdam and Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 4 days. You have to attend a workshop in Florence between day 1 and day 4. You would like to visit Amsterdam for 6 days. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Amsterdam, from Amsterdam to Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-9:** Visit Amsterdam for 6 days.\n**Day 9:** Fly from Amsterdam to Riga.\n**Day 9-13:** Visit Riga for 5 days.",
    "id": "trip_planning_example_24",
    "estimated_output_tokens": 682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Duration: 6 days.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Riga] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Florence to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Amsterdam, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-9:** Visit Amsterdam for 6 days.\n**Day 9:** Fly from Amsterdam to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lyon**Split",
    "ground_truth_durations": "5**6**7",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Split"
      ],
      [
        "Valencia",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 7 days in Split. From day 10 to day 16, there is a annual show you want to attend in Split. You would like to visit Lyon for 6 days.\n\nHere are the cities that have direct flights:\nLyon and Split, Valencia and Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 7 days in Split. From day 10 to day 16, there is a annual show you want to attend in Split. You would like to visit Lyon for 6 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Split, from Valencia to Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lyon.\n**Day 5-10:** Visit Lyon for 6 days.\n**Day 10:** Fly from Lyon to Split.\n**Day 10-16:** Visit Split for 7 days.",
    "id": "trip_planning_example_25",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Lyon, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Lyon] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 10 - 16).\n |- The departure day of Valencia is Day 5. The arrival day of Split is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Valencia to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 10 - 16).\n   |- The departure day of Lyon is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Valencia, Lyon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n     |- Try arranging to visit Split from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Lyon to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Valencia, Lyon, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lyon.\n**Day 5-10:** Visit Lyon for 6 days.\n**Day 10:** Fly from Lyon to Split.\n**Day 10-16:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Berlin**Reykjavik",
    "ground_truth_durations": "7**6**5",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Porto",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You want to spend 6 days in Berlin. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 12 and day 16.\n\nHere are the cities that have direct flights:\nBerlin and Reykjavik, Porto and Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You want to spend 6 days in Berlin. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Berlin to Reykjavik, from Porto to Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Porto and visit Porto for 7 days.\n**Day 7:** Fly from Porto to Berlin.\n**Day 7-12:** Visit Berlin for 6 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_26",
    "estimated_output_tokens": 781,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 7 days.\n* City: Berlin, Duration: 6 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Porto, Duration: 7 days.\n* City: Berlin, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Berlin] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 12 - 16).\n |- The departure day of Porto is Day 7. The arrival day of Reykjavik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 12 - 16).\n   |- The departure day of Berlin is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Porto, Berlin].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Porto, Berlin, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Porto and visit Porto for 7 days.\n**Day 7:** Fly from Porto to Berlin.\n**Day 7-12:** Visit Berlin for 6 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Amsterdam**Santorini",
    "ground_truth_durations": "6**7**3",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You plan to visit relatives in Santorini between day 12 and day 14. You plan to stay in Amsterdam for 7 days. You would like to visit Istanbul for 6 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Santorini, Istanbul and Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You plan to visit relatives in Santorini between day 12 and day 14. You plan to stay in Amsterdam for 7 days. You would like to visit Istanbul for 6 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Santorini, from Istanbul to Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Istanbul and visit Istanbul for 6 days.\n**Day 6:** Fly from Istanbul to Amsterdam.\n**Day 6-12:** Visit Amsterdam for 7 days.\n**Day 12:** Fly from Amsterdam to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_27",
    "estimated_output_tokens": 1020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Amsterdam, Duration: 7 days.\n* City: Istanbul, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 7 days.\n* City: Istanbul, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Istanbul] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 12 - 14).\n |- The departure day of Amsterdam is Day 7. The arrival day of Santorini is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Amsterdam to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 12 - 14).\n |- The departure day of Istanbul is Day 6. The arrival day of Santorini is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Istanbul to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 12 - 14).\n   |- The departure day of Amsterdam is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Istanbul, Amsterdam].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Istanbul, Amsterdam, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Istanbul and visit Istanbul for 6 days.\n**Day 6:** Fly from Istanbul to Amsterdam.\n**Day 6-12:** Visit Amsterdam for 7 days.\n**Day 12:** Fly from Amsterdam to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Zurich**Florence",
    "ground_truth_durations": "6**2**6",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You would like to visit Florence for 6 days. You plan to stay in Zurich for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Zurich, from Zurich to Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You would like to visit Florence for 6 days. You plan to stay in Zurich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Zurich, from Zurich to Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Florence.\n**Day 7-12:** Visit Florence for 6 days.",
    "id": "trip_planning_example_28",
    "estimated_output_tokens": 709,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 6 days.\n* City: Florence, Duration: 6 days.\n* City: Zurich, Duration: 2 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Venice, Duration: 6 days.\n* City: Florence, Duration: 6 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Florence, Zurich] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n   |- Try arranging to visit Florence from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Venice to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Venice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Venice, Zurich, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Florence.\n**Day 7-12:** Visit Florence for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Frankfurt**Krakow",
    "ground_truth_durations": "7**3**2",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You are going to attend a wedding in Krakow between day 9 and day 10. You plan to stay in Dubrovnik for 7 days. You would like to visit Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Krakow, Dubrovnik and Frankfurt.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You are going to attend a wedding in Krakow between day 9 and day 10. You plan to stay in Dubrovnik for 7 days. You would like to visit Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Krakow, from Dubrovnik to Frankfurt.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-7:** Arriving in Dubrovnik and visit Dubrovnik for 7 days.\n**Day 7:** Fly from Dubrovnik to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_29",
    "estimated_output_tokens": 780,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Dubrovnik, Duration: 7 days.\n* City: Frankfurt, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 7 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 9 - 10).\n |- The departure day of Dubrovnik is Day 7. The arrival day of Krakow is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 9 - 10).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Dubrovnik, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Frankfurt to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Frankfurt, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Dubrovnik and visit Dubrovnik for 7 days.\n**Day 7:** Fly from Dubrovnik to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Istanbul**Tallinn",
    "ground_truth_durations": "7**5**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Zurich",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You would like to visit Tallinn for 4 days. You would like to visit Zurich for 7 days. From day 1 to day 7, there is a annual show you want to attend in Zurich.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Tallinn, Zurich and Tallinn, Zurich and Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You would like to visit Tallinn for 4 days. You would like to visit Zurich for 7 days. From day 1 to day 7, there is a annual show you want to attend in Zurich.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Tallinn, from Zurich to Tallinn, from Zurich to Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-14:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_30",
    "estimated_output_tokens": 686,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Zurich, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Zurich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Zurich, Istanbul].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Zurich, Istanbul, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-14:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Frankfurt**Reykjavik",
    "ground_truth_durations": "7**2**3",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Reykjavik"
      ],
      [
        "Split",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You want to spend 3 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 10. You want to spend 7 days in Split.\n\nHere are the cities that have direct flights:\nFrankfurt and Reykjavik, Split and Frankfurt.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You want to spend 3 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 10. You want to spend 7 days in Split.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Reykjavik, from Split to Frankfurt.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-7:** Arriving in Split and visit Split for 7 days.\n**Day 7:** Fly from Split to Frankfurt.\n**Day 7-8:** Visit Frankfurt for 2 days.\n**Day 8:** Fly from Frankfurt to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_31",
    "estimated_output_tokens": 1030,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Split, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Split] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 10).\n |- The departure day of Frankfurt is Day 2. The arrival day of Reykjavik is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Frankfurt to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 10).\n |- The departure day of Split is Day 7. The arrival day of Reykjavik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Split to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 8 - 10).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Frankfurt to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Frankfurt, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Split and visit Split for 7 days.\n**Day 7:** Fly from Split to Frankfurt.\n**Day 7-8:** Visit Frankfurt for 2 days.\n**Day 8:** Fly from Frankfurt to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Paris**Reykjavik",
    "ground_truth_durations": "3**4**5",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Riga",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 6 to day 10, there is a annual show you want to attend in Reykjavik. You would like to visit Riga for 3 days. You would like to visit Paris for 4 days.\n\nHere are the cities that have direct flights:\nParis and Reykjavik, Riga and Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 6 to day 10, there is a annual show you want to attend in Reykjavik. You would like to visit Riga for 3 days. You would like to visit Paris for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Reykjavik, from Riga to Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_32",
    "estimated_output_tokens": 790,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Riga, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Paris] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 10).\n |- The departure day of Riga is Day 3. The arrival day of Reykjavik is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 6 - 10).\n   |- The departure day of Paris is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Riga, Paris, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Barcelona**Krakow",
    "ground_truth_durations": "4**7**4",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Rome",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 10 and day 13. You want to spend 4 days in Rome. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nBarcelona and Krakow, Rome and Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 10 and day 13. You want to spend 4 days in Rome. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Krakow, from Rome to Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Barcelona.\n**Day 4-10:** Visit Barcelona for 7 days.\n**Day 10:** Fly from Barcelona to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_33",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Rome, Duration: 4 days.\n* City: Barcelona, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Barcelona, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Barcelona] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 10 - 13).\n |- The departure day of Rome is Day 4. The arrival day of Krakow is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Rome to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 10 - 13).\n   |- The departure day of Barcelona is Day 10. The arrival day of Krakow is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Rome, Barcelona].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Rome, Barcelona, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Barcelona.\n**Day 4-10:** Visit Barcelona for 7 days.\n**Day 10:** Fly from Barcelona to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Frankfurt**Florence",
    "ground_truth_durations": "2**5**4",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Valencia",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 5 days. You would like to visit Florence for 4 days. You would like to visit Valencia for 2 days. You plan to visit relatives in Valencia between day 1 and day 2.\n\nHere are the cities that have direct flights:\nFrankfurt and Florence, Valencia and Frankfurt.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 5 days. You would like to visit Florence for 4 days. You would like to visit Valencia for 2 days. You plan to visit relatives in Valencia between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Florence, from Valencia to Frankfurt.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Frankfurt.\n**Day 2-6:** Visit Frankfurt for 5 days.\n**Day 6:** Fly from Frankfurt to Florence.\n**Day 6-9:** Visit Florence for 4 days.",
    "id": "trip_planning_example_34",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Florence] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Frankfurt, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Frankfurt.\n**Day 2-6:** Visit Frankfurt for 5 days.\n**Day 6:** Fly from Frankfurt to Florence.\n**Day 6-9:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Zurich**Dubrovnik",
    "ground_truth_durations": "3**2**7",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You would like to visit Zurich for 2 days. You want to spend 7 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 4 and day 10.\n\nHere are the cities that have direct flights:\nBucharest and Zurich, Zurich and Dubrovnik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You would like to visit Zurich for 2 days. You want to spend 7 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 4 and day 10.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Zurich, from Zurich to Dubrovnik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Zurich.\n**Day 3-4:** Visit Zurich for 2 days.\n**Day 4:** Fly from Zurich to Dubrovnik.\n**Day 4-10:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_35",
    "estimated_output_tokens": 784,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days.\n* City: Zurich, Duration: 2 days.\n* City: Dubrovnik, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Zurich] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 10).\n |- The departure day of Bucharest is Day 3. The arrival day of Dubrovnik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 4 - 10).\n   |- The departure day of Zurich is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Zurich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Zurich, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Zurich.\n**Day 3-4:** Visit Zurich for 2 days.\n**Day 4:** Fly from Zurich to Dubrovnik.\n**Day 4-10:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Warsaw",
    "ground_truth_durations": "2**6**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You want to spend 7 days in Warsaw. You want to spend 6 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Florence to Munich, Munich and Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You want to spend 7 days in Warsaw. You want to spend 6 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Florence to Munich, from Munich to Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-7:** Visit Munich for 6 days.\n**Day 7:** Fly from Munich to Warsaw.\n**Day 7-13:** Visit Warsaw for 7 days.",
    "id": "trip_planning_example_36",
    "estimated_output_tokens": 709,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days.\n* City: Warsaw, Duration: 7 days.\n* City: Munich, Duration: 6 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Warsaw, Duration: 7 days.\n* City: Munich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Warsaw, Munich] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Munich] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Florence to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Munich to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Munich, Warsaw].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-7:** Visit Munich for 6 days.\n**Day 7:** Fly from Munich to Warsaw.\n**Day 7-13:** Visit Warsaw for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Milan**Porto",
    "ground_truth_durations": "6**4**2",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Milan",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Reykjavik. You want to spend 2 days in Porto. From day 9 to day 10, there is a annual show you want to attend in Porto. You would like to visit Milan for 4 days.\n\nHere are the cities that have direct flights:\nReykjavik and Milan, Milan and Porto.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Reykjavik. You want to spend 2 days in Porto. From day 9 to day 10, there is a annual show you want to attend in Porto. You would like to visit Milan for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Milan, from Milan to Porto.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Porto.\n**Day 9-10:** Visit Porto for 2 days.",
    "id": "trip_planning_example_37",
    "estimated_output_tokens": 781,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 6 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Milan, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 6 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Milan] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 9 - 10).\n |- The departure day of Reykjavik is Day 6. The arrival day of Porto is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Reykjavik to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 10).\n   |- The departure day of Milan is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Reykjavik, Milan].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Milan to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Milan, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Porto.\n**Day 9-10:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Madrid**Venice",
    "ground_truth_durations": "2**3**2",
    "num_cities": 3,
    "total_days": 5,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Madrid",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You want to spend 2 days in Geneva. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nGeneva and Madrid, Madrid and Venice.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You want to spend 2 days in Geneva. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Madrid, from Madrid to Venice.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 5 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Madrid.\n**Day 2-4:** Visit Madrid for 3 days.\n**Day 4:** Fly from Madrid to Venice.\n**Day 4-5:** Visit Venice for 2 days.",
    "id": "trip_planning_example_38",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Geneva, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Madrid] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Geneva is Day 2. The arrival day of Venice is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 4 - 5).\n   |- The departure day of Madrid is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Geneva, Madrid, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Madrid.\n**Day 2-4:** Visit Madrid for 3 days.\n**Day 4:** Fly from Madrid to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Barcelona**Florence",
    "ground_truth_durations": "3**7**4",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You want to spend 7 days in Barcelona. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 1 and day 3.\n\nHere are the cities that have direct flights:\nPorto and Barcelona, Barcelona and Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You want to spend 7 days in Barcelona. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Porto to Barcelona, from Barcelona to Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Barcelona.\n**Day 3-9:** Visit Barcelona for 7 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-12:** Visit Florence for 4 days.",
    "id": "trip_planning_example_39",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days.\n* City: Barcelona, Duration: 7 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Barcelona, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Porto to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Porto to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n     |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Barcelona to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Porto, Barcelona, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Barcelona.\n**Day 3-9:** Visit Barcelona for 7 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Oslo**Reykjavik",
    "ground_truth_durations": "2**6**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You would like to visit Reykjavik for 2 days. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 1 and day 2.\n\nHere are the cities that have direct flights:\nOslo and Reykjavik, Manchester and Oslo.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You would like to visit Reykjavik for 2 days. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Oslo to Reykjavik, from Manchester to Oslo.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Oslo.\n**Day 2-7:** Visit Oslo for 6 days.\n**Day 7:** Fly from Oslo to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_40",
    "estimated_output_tokens": 697,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 6 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Manchester to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Manchester, Oslo].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Oslo, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Oslo.\n**Day 2-7:** Visit Oslo for 6 days.\n**Day 7:** Fly from Oslo to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Athens**Mykonos",
    "ground_truth_durations": "6**5**4",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Stockholm",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Stockholm. During day 1 and day 6, you have to attend a conference in Stockholm. You would like to visit Athens for 5 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Mykonos, Stockholm and Athens.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Stockholm. During day 1 and day 6, you have to attend a conference in Stockholm. You would like to visit Athens for 5 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Mykonos, from Stockholm to Athens.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Stockholm and visit Stockholm for 6 days.\n**Day 6:** Fly from Stockholm to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_41",
    "estimated_output_tokens": 691,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Athens, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Stockholm to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Stockholm, Athens].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Stockholm, Athens, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Stockholm and visit Stockholm for 6 days.\n**Day 6:** Fly from Stockholm to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Nice**Mykonos",
    "ground_truth_durations": "4**5**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Paris. You would like to meet your friends at Paris between day 1 and day 4 to tour together. You would like to visit Mykonos for 4 days. You plan to stay in Nice for 5 days.\n\nHere are the cities that have direct flights:\nParis and Nice, Nice and Mykonos.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Paris. You would like to meet your friends at Paris between day 1 and day 4 to tour together. You would like to visit Mykonos for 4 days. You plan to stay in Nice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Nice, from Nice to Mykonos.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_42",
    "estimated_output_tokens": 737,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Paris to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Paris to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Paris, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Paris, Nice, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Dublin**Porto",
    "ground_truth_durations": "4**4**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Porto"
      ],
      [
        "Venice",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 1 and day 4 to tour together. You want to spend 4 days in Porto. You would like to visit Dublin for 4 days.\n\nHere are the cities that have direct flights:\nDublin and Porto, Venice and Dublin.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 1 and day 4 to tour together. You want to spend 4 days in Porto. You would like to visit Dublin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Porto, from Venice to Dublin.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Porto.\n**Day 7-10:** Visit Porto for 4 days.",
    "id": "trip_planning_example_43",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Porto, Duration: 4 days.\n* City: Dublin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Dublin] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dublin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Dublin, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Rome**Lyon",
    "ground_truth_durations": "7**6**6",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Lyon"
      ],
      [
        "Zurich",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You would like to visit Zurich for 7 days. You are going to attend a wedding in Zurich between day 1 and day 7. You plan to stay in Rome for 6 days.\n\nHere are the cities that have direct flights:\nRome and Lyon, Zurich and Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You would like to visit Zurich for 7 days. You are going to attend a wedding in Zurich between day 1 and day 7. You plan to stay in Rome for 6 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Lyon, from Zurich to Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Rome.\n**Day 7-12:** Visit Rome for 6 days.\n**Day 12:** Fly from Rome to Lyon.\n**Day 12-17:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_44",
    "estimated_output_tokens": 723,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days.\n* City: Zurich, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Rome, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Lyon, Duration: 6 days.\n* City: Rome, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Rome] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Zurich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Zurich to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Zurich, Rome].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Rome to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Zurich, Rome, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Rome.\n**Day 7-12:** Visit Rome for 6 days.\n**Day 12:** Fly from Rome to Lyon.\n**Day 12-17:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Lisbon**Florence",
    "ground_truth_durations": "7**7**4",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 7 days. You would like to visit Florence for 4 days. You want to spend 7 days in Copenhagen. During day 1 and day 7, you have to attend a conference in Copenhagen.\n\nHere are the cities that have direct flights:\nCopenhagen and Lisbon, Lisbon and Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 7 days. You would like to visit Florence for 4 days. You want to spend 7 days in Copenhagen. During day 1 and day 7, you have to attend a conference in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Lisbon, from Lisbon to Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Lisbon.\n**Day 7-13:** Visit Lisbon for 7 days.\n**Day 13:** Fly from Lisbon to Florence.\n**Day 13-16:** Visit Florence for 4 days.",
    "id": "trip_planning_example_45",
    "estimated_output_tokens": 675,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 7 days.\n* City: Florence, Duration: 4 days.\n* City: Copenhagen, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 7 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Copenhagen to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Copenhagen, Lisbon].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n     |- Try arranging to visit Florence from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n     |- Check for direct flight from Lisbon to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Copenhagen, Lisbon, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Lisbon.\n**Day 7-13:** Visit Lisbon for 7 days.\n**Day 13:** Fly from Lisbon to Florence.\n**Day 13-16:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Manchester**Seville",
    "ground_truth_durations": "3**5**5",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Seville"
      ],
      [
        "Stockholm",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You would like to visit Manchester for 5 days. You would like to visit Stockholm for 3 days. During day 1 and day 3, you have to attend a conference in Stockholm.\n\nHere are the cities that have direct flights:\nManchester and Seville, Stockholm and Manchester.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You would like to visit Manchester for 5 days. You would like to visit Stockholm for 3 days. During day 1 and day 3, you have to attend a conference in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Manchester to Seville, from Stockholm to Manchester.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Manchester.\n**Day 3-7:** Visit Manchester for 5 days.\n**Day 7:** Fly from Manchester to Seville.\n**Day 7-11:** Visit Seville for 5 days.",
    "id": "trip_planning_example_46",
    "estimated_output_tokens": 729,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Manchester] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Manchester].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Manchester to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stockholm, Manchester, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Manchester.\n**Day 3-7:** Visit Manchester for 5 days.\n**Day 7:** Fly from Manchester to Seville.\n**Day 7-11:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Istanbul**Salzburg",
    "ground_truth_durations": "2**2**5",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Salzburg. You plan to stay in Paris for 2 days. During day 1 and day 2, you have to attend a conference in Paris. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nParis and Istanbul, Istanbul and Salzburg.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Salzburg. You plan to stay in Paris for 2 days. During day 1 and day 2, you have to attend a conference in Paris. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Istanbul, from Istanbul to Salzburg.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Salzburg.\n**Day 3-7:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_47",
    "estimated_output_tokens": 726,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 5 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Istanbul to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Istanbul, Salzburg].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Salzburg.\n**Day 3-7:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Split**Geneva",
    "ground_truth_durations": "2**2**2",
    "num_cities": 3,
    "total_days": 4,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Geneva"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 4 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. You want to meet a friend in Split between day 2 and day 3. You plan to stay in Manchester for 2 days. You would like to visit Geneva for 2 days.\n\nHere are the cities that have direct flights:\nSplit and Geneva, from Manchester to Split, Manchester and Geneva.\n\nFind a trip plan of visiting the cities for 4 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 4 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. You want to meet a friend in Split between day 2 and day 3. You plan to stay in Manchester for 2 days. You would like to visit Geneva for 2 days.\n\nHere are the cities that have direct flights:\nfrom Split to Geneva, from Manchester to Split, from Manchester to Geneva.\n\nFind a trip plan of visiting the cities for 4 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 4 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Split.\n**Day 2-3:** Visit Split for 2 days.\n**Day 3:** Fly from Split to Geneva.\n**Day 3-4:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_48",
    "estimated_output_tokens": 706,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Manchester, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 2 - 3.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Geneva] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 2 - 3).\n |- The departure day of Manchester is Day 2. The arrival day of Split is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Split.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Manchester to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Manchester, Split].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Split to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Manchester, Split, Geneva].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Split.\n**Day 2-3:** Visit Split for 2 days.\n**Day 3:** Fly from Split to Geneva.\n**Day 3-4:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Milan**Reykjavik",
    "ground_truth_durations": "3**7**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Split",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You would like to visit Milan for 7 days. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 1 and day 3.\n\nHere are the cities that have direct flights:\nMilan and Reykjavik, Split and Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You would like to visit Milan for 7 days. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Milan to Reykjavik, from Split to Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-9:** Visit Milan for 7 days.\n**Day 9:** Fly from Milan to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_49",
    "estimated_output_tokens": 748,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Milan, Duration: 7 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Milan, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Split to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Split, Milan].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Milan to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Split, Milan, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-9:** Visit Milan for 7 days.\n**Day 9:** Fly from Milan to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Munich**Mykonos",
    "ground_truth_durations": "4**3**7",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Vilnius",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You plan to stay in Munich for 3 days. You would like to visit Mykonos for 7 days.\n\nHere are the cities that have direct flights:\nMunich and Mykonos, from Vilnius to Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You plan to stay in Munich for 3 days. You would like to visit Mykonos for 7 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Mykonos, from Vilnius to Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Mykonos.\n**Day 6-12:** Visit Mykonos for 7 days.",
    "id": "trip_planning_example_50",
    "estimated_output_tokens": 707,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Mykonos, Duration: 7 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Mykonos, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Munich, Mykonos] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Munich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vilnius, Munich, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Mykonos.\n**Day 6-12:** Visit Mykonos for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Frankfurt**Vilnius",
    "ground_truth_durations": "3**2**7",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 2 days. You would like to visit Lyon for 3 days. You plan to stay in Vilnius for 7 days. You are going to attend a wedding in Vilnius between day 4 and day 10.\n\nHere are the cities that have direct flights:\nLyon and Frankfurt, Frankfurt and Vilnius.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 2 days. You would like to visit Lyon for 3 days. You plan to stay in Vilnius for 7 days. You are going to attend a wedding in Vilnius between day 4 and day 10.\n\nHere are the cities that have direct flights:\nfrom Lyon to Frankfurt, from Frankfurt to Vilnius.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Vilnius.\n**Day 4-10:** Visit Vilnius for 7 days.",
    "id": "trip_planning_example_51",
    "estimated_output_tokens": 1020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n* City: Vilnius, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Lyon] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 4 - 10).\n |- The departure day of Frankfurt is Day 2. The arrival day of Vilnius is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 4 - 10).\n |- The departure day of Lyon is Day 3. The arrival day of Vilnius is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 4 - 10).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Vilnius is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Frankfurt to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Frankfurt, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Vilnius.\n**Day 4-10:** Visit Vilnius for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Paris**Reykjavik",
    "ground_truth_durations": "6**5**4",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Madrid. You would like to visit Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 10 and day 13. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, Paris and Reykjavik, Madrid and Paris.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Madrid. You would like to visit Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 10 and day 13. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, from Paris to Reykjavik, from Madrid to Paris.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_52",
    "estimated_output_tokens": 781,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 6 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Madrid, Duration: 6 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Paris] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 10 - 13).\n |- The departure day of Madrid is Day 6. The arrival day of Reykjavik is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n   |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Madrid to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 10 - 13).\n   |- The departure day of Paris is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Madrid, Paris].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Madrid, Paris, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Vienna**Stuttgart",
    "ground_truth_durations": "3**5**6",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Vienna",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You would like to visit Vienna for 5 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 1 and day 3.\n\nHere are the cities that have direct flights:\nOslo and Vienna, Vienna and Stuttgart.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You would like to visit Vienna for 5 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Oslo to Vienna, from Vienna to Stuttgart.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Stuttgart.\n**Day 7-12:** Visit Stuttgart for 6 days.",
    "id": "trip_planning_example_53",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 6 days.\n* City: Vienna, Duration: 5 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 6 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Oslo to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Oslo, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Vienna to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Oslo, Vienna, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Stuttgart.\n**Day 7-12:** Visit Stuttgart for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Copenhagen**Tallinn",
    "ground_truth_durations": "7**2**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 7 days. You are going to attend a wedding in Nice between day 1 and day 7. You plan to stay in Tallinn for 6 days. You plan to stay in Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nNice and Copenhagen, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 7 days. You are going to attend a wedding in Nice between day 1 and day 7. You plan to stay in Tallinn for 6 days. You plan to stay in Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Copenhagen, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-7:** Arriving in Nice and visit Nice for 7 days.\n**Day 7:** Fly from Nice to Copenhagen.\n**Day 7-8:** Visit Copenhagen for 2 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-13:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_54",
    "estimated_output_tokens": 728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Tallinn, Duration: 6 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 6 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Nice to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Copenhagen].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Nice, Copenhagen, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Nice and visit Nice for 7 days.\n**Day 7:** Fly from Nice to Copenhagen.\n**Day 7-8:** Visit Copenhagen for 2 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-13:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Milan**Porto",
    "ground_truth_durations": "3**6**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Porto"
      ],
      [
        "London",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You have to attend a workshop in London between day 1 and day 3. You want to spend 4 days in Porto. You want to spend 6 days in Milan.\n\nHere are the cities that have direct flights:\nMilan and Porto, London and Milan.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You have to attend a workshop in London between day 1 and day 3. You want to spend 4 days in Porto. You want to spend 6 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Milan to Porto, from London to Milan.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Milan.\n**Day 3-8:** Visit Milan for 6 days.\n**Day 8:** Fly from Milan to Porto.\n**Day 8-11:** Visit Porto for 4 days.",
    "id": "trip_planning_example_55",
    "estimated_output_tokens": 717,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Porto, Duration: 4 days.\n* City: Milan, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Milan, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Milan] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Milan to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [London, Milan, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Milan.\n**Day 3-8:** Visit Milan for 6 days.\n**Day 8:** Fly from Milan to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Geneva**Mykonos",
    "ground_truth_durations": "2**6**3",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You plan to stay in Mykonos for 3 days. You would like to meet your friends at Mykonos between day 7 and day 9 to tour together. You plan to stay in Geneva for 6 days.\n\nHere are the cities that have direct flights:\nGeneva and Mykonos, Copenhagen and Geneva.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You plan to stay in Mykonos for 3 days. You would like to meet your friends at Mykonos between day 7 and day 9 to tour together. You plan to stay in Geneva for 6 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Mykonos, from Copenhagen to Geneva.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Geneva.\n**Day 2-7:** Visit Geneva for 6 days.\n**Day 7:** Fly from Geneva to Mykonos.\n**Day 7-9:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_56",
    "estimated_output_tokens": 770,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Geneva, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Geneva] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 7 - 9).\n |- The departure day of Copenhagen is Day 2. The arrival day of Mykonos is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Copenhagen to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 7 - 9).\n   |- The departure day of Geneva is Day 7. The arrival day of Mykonos is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Geneva].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Geneva to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Geneva, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Geneva.\n**Day 2-7:** Visit Geneva for 6 days.\n**Day 7:** Fly from Geneva to Mykonos.\n**Day 7-9:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Frankfurt**Salzburg",
    "ground_truth_durations": "5**2**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 2 days. You would like to visit Krakow for 5 days. From day 1 to day 5, there is a annual show you want to attend in Krakow. You would like to visit Salzburg for 6 days.\n\nHere are the cities that have direct flights:\nKrakow and Frankfurt, Frankfurt and Salzburg.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 2 days. You would like to visit Krakow for 5 days. From day 1 to day 5, there is a annual show you want to attend in Krakow. You would like to visit Salzburg for 6 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Frankfurt, from Frankfurt to Salzburg.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Salzburg.\n**Day 6-11:** Visit Salzburg for 6 days.",
    "id": "trip_planning_example_57",
    "estimated_output_tokens": 694,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Salzburg, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Salzburg, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Frankfurt, Salzburg].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Salzburg.\n**Day 6-11:** Visit Salzburg for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Reykjavik**Athens",
    "ground_truth_durations": "2**7**7",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 2,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Stockholm. You want to spend 7 days in Athens. You want to spend 7 days in Reykjavik. You would like to meet your friends at Reykjavik between day 2 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nStockholm and Athens, from Reykjavik to Athens, Stockholm and Reykjavik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Stockholm. You want to spend 7 days in Athens. You want to spend 7 days in Reykjavik. You would like to meet your friends at Reykjavik between day 2 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Athens, from Reykjavik to Athens, from Stockholm to Reykjavik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Reykjavik.\n**Day 2-8:** Visit Reykjavik for 7 days.\n**Day 8:** Fly from Reykjavik to Athens.\n**Day 8-14:** Visit Athens for 7 days.",
    "id": "trip_planning_example_58",
    "estimated_output_tokens": 749,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 2 days.\n* City: Athens, Duration: 7 days.\n* City: Reykjavik, Duration: 7 days, Fixed Schedule: Day 2 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 2 - 8.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Athens, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Athens] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 2 - 8).\n |- The departure day of Stockholm is Day 2. The arrival day of Reykjavik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Stockholm to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Reykjavik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n     |- Try arranging to visit Athens from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Reykjavik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Stockholm, Reykjavik, Athens].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Reykjavik.\n**Day 2-8:** Visit Reykjavik for 7 days.\n**Day 8:** Fly from Reykjavik to Athens.\n**Day 8-14:** Visit Athens for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lyon**Porto",
    "ground_truth_durations": "7**7**4",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Lyon",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 7 days. You want to spend 7 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 7. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nBucharest and Lyon, Lyon and Porto.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 7 days. You want to spend 7 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 7. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Lyon, from Lyon to Porto.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-16:** Visit Porto for 4 days.",
    "id": "trip_planning_example_59",
    "estimated_output_tokens": 686,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 7 days.\n* City: Bucharest, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Lyon, Duration: 7 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Porto] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n     |- Check for direct flight from Lyon to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Lyon, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-16:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Vienna**Valencia",
    "ground_truth_durations": "2**2**3",
    "num_cities": 3,
    "total_days": 5,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Vienna",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 2 days. You plan to stay in Valencia for 3 days. You want to spend 2 days in Oslo. You are going to attend a wedding in Oslo between day 1 and day 2.\n\nHere are the cities that have direct flights:\nOslo and Vienna, Vienna and Valencia.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 2 days. You plan to stay in Valencia for 3 days. You want to spend 2 days in Oslo. You are going to attend a wedding in Oslo between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Oslo to Vienna, from Vienna to Valencia.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 5 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Vienna.\n**Day 2-3:** Visit Vienna for 2 days.\n**Day 3:** Fly from Vienna to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_60",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Vienna, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Valencia] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Oslo, Vienna].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vienna to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Oslo, Vienna, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Vienna.\n**Day 2-3:** Visit Vienna for 2 days.\n**Day 3:** Fly from Vienna to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Zurich**Bucharest",
    "ground_truth_durations": "5**7**3",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Zurich. You plan to stay in Bucharest for 3 days. You would like to visit Helsinki for 5 days. You would like to meet your friends at Helsinki between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nZurich and Bucharest, Helsinki and Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Zurich. You plan to stay in Bucharest for 3 days. You would like to visit Helsinki for 5 days. You would like to meet your friends at Helsinki between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Zurich to Bucharest, from Helsinki to Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-11:** Visit Zurich for 7 days.\n**Day 11:** Fly from Zurich to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_61",
    "estimated_output_tokens": 684,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 7 days.\n* City: Bucharest, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Zurich, Duration: 7 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Bucharest] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Helsinki to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Helsinki, Zurich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Zurich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Helsinki, Zurich, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-11:** Visit Zurich for 7 days.\n**Day 11:** Fly from Zurich to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Amsterdam**Santorini",
    "ground_truth_durations": "2**3**7",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Santorini. You want to spend 3 days in Amsterdam. You would like to visit Lyon for 2 days. From day 1 to day 2, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nLyon and Amsterdam, Amsterdam and Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Santorini. You want to spend 3 days in Amsterdam. You would like to visit Lyon for 2 days. From day 1 to day 2, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nfrom Lyon to Amsterdam, from Amsterdam to Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Amsterdam.\n**Day 2-4:** Visit Amsterdam for 3 days.\n**Day 4:** Fly from Amsterdam to Santorini.\n**Day 4-10:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_62",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 7 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Santorini, Duration: 7 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Lyon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Amsterdam, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Amsterdam.\n**Day 2-4:** Visit Amsterdam for 3 days.\n**Day 4:** Fly from Amsterdam to Santorini.\n**Day 4-10:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Athens**Bucharest",
    "ground_truth_durations": "4**2**7",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Athens",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 1 and day 4. You plan to stay in Athens for 2 days. You want to spend 7 days in Bucharest.\n\nHere are the cities that have direct flights:\nMykonos and Athens, Athens and Bucharest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 1 and day 4. You plan to stay in Athens for 2 days. You want to spend 7 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Athens, from Athens to Bucharest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Athens.\n**Day 4-5:** Visit Athens for 2 days.\n**Day 5:** Fly from Athens to Bucharest.\n**Day 5-11:** Visit Bucharest for 7 days.",
    "id": "trip_planning_example_63",
    "estimated_output_tokens": 704,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Athens, Duration: 2 days.\n* City: Bucharest, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Bucharest, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Bucharest] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Mykonos, Athens, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Athens.\n**Day 4-5:** Visit Athens for 2 days.\n**Day 5:** Fly from Athens to Bucharest.\n**Day 5-11:** Visit Bucharest for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Porto",
    "ground_truth_durations": "4**3**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You plan to stay in Reykjavik for 4 days. You want to spend 6 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, Stuttgart and Porto.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You plan to stay in Reykjavik for 4 days. You want to spend 6 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, from Stuttgart to Porto.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-6:** Visit Stuttgart for 3 days.\n**Day 6:** Fly from Stuttgart to Porto.\n**Day 6-11:** Visit Porto for 6 days.",
    "id": "trip_planning_example_64",
    "estimated_output_tokens": 1140,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Porto, Duration: 6 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Porto, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Reykjavik, Porto] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Stuttgart to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Porto].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Porto to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Porto] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Stuttgart to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Stuttgart, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-6:** Visit Stuttgart for 3 days.\n**Day 6:** Fly from Stuttgart to Porto.\n**Day 6-11:** Visit Porto for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Milan**Santorini",
    "ground_truth_durations": "4**3**7",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Santorini"
      ],
      [
        "Mykonos",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 3 days. You would like to visit Santorini for 7 days. You plan to visit relatives in Santorini between day 6 and day 12. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nMilan and Santorini, Mykonos and Milan.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 3 days. You would like to visit Santorini for 7 days. You plan to visit relatives in Santorini between day 6 and day 12. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Santorini, from Mykonos to Milan.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-12:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_65",
    "estimated_output_tokens": 1048,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Santorini, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 6 - 12.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Mykonos] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 6 - 12).\n |- The departure day of Milan is Day 3. The arrival day of Santorini is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 6 - 12).\n |- The departure day of Mykonos is Day 4. The arrival day of Santorini is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 6 - 12).\n   |- The departure day of Milan is Day 6. The arrival day of Santorini is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Mykonos, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Mykonos, Milan, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-12:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Brussels**Riga",
    "ground_truth_durations": "6**6**2",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Brussels",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 6 days. You plan to stay in Riga for 2 days. You plan to visit relatives in Riga between day 11 and day 12. You would like to visit Geneva for 6 days.\n\nHere are the cities that have direct flights:\nGeneva and Brussels, Brussels and Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 6 days. You plan to stay in Riga for 2 days. You plan to visit relatives in Riga between day 11 and day 12. You would like to visit Geneva for 6 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Brussels, from Brussels to Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Brussels.\n**Day 6-11:** Visit Brussels for 6 days.\n**Day 11:** Fly from Brussels to Riga.\n**Day 11-12:** Visit Riga for 2 days.",
    "id": "trip_planning_example_66",
    "estimated_output_tokens": 1006,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 6 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Geneva, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Brussels, Duration: 6 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Geneva] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 11 - 12).\n |- The departure day of Brussels is Day 6. The arrival day of Riga is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Brussels to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 11 - 12).\n |- The departure day of Geneva is Day 6. The arrival day of Riga is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Geneva to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 11 - 12).\n   |- The departure day of Brussels is Day 11. The arrival day of Riga is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Geneva, Brussels].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Brussels to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Geneva, Brussels, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Brussels.\n**Day 6-11:** Visit Brussels for 6 days.\n**Day 11:** Fly from Brussels to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Manchester**Split",
    "ground_truth_durations": "5**3**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Split"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Dublin",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You plan to visit relatives in Manchester between day 5 and day 7. You plan to stay in Split for 7 days. You plan to stay in Dublin for 5 days.\n\nHere are the cities that have direct flights:\nDublin and Split, from Manchester to Split, Dublin and Manchester.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You plan to visit relatives in Manchester between day 5 and day 7. You plan to stay in Split for 7 days. You plan to stay in Dublin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Split, from Manchester to Split, from Dublin to Manchester.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Split.\n**Day 7-13:** Visit Split for 7 days.",
    "id": "trip_planning_example_67",
    "estimated_output_tokens": 817,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Split, Duration: 7 days.\n* City: Dublin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Split, Duration: 7 days.\n* City: Dublin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Dublin] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Split is Day 7. The arrival day of Manchester is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Dublin is Day 5. The arrival day of Manchester is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dublin to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Manchester].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Dublin, Manchester, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Split.\n**Day 7-13:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Zurich**Porto",
    "ground_truth_durations": "3**6**7",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Porto"
      ],
      [
        "Reykjavik",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 6 days. You plan to stay in Reykjavik for 3 days. You would like to visit Porto for 7 days. You have to attend a workshop in Porto between day 8 and day 14.\n\nHere are the cities that have direct flights:\nZurich and Porto, Reykjavik and Zurich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 6 days. You plan to stay in Reykjavik for 3 days. You would like to visit Porto for 7 days. You have to attend a workshop in Porto between day 8 and day 14.\n\nHere are the cities that have direct flights:\nfrom Zurich to Porto, from Reykjavik to Zurich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Zurich.\n**Day 3-8:** Visit Zurich for 6 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.",
    "id": "trip_planning_example_68",
    "estimated_output_tokens": 1039,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 6 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Porto, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Zurich, Duration: 6 days.\n* City: Reykjavik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Reykjavik] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 14).\n |- The departure day of Zurich is Day 6. The arrival day of Porto is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Zurich to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 14).\n |- The departure day of Reykjavik is Day 3. The arrival day of Porto is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Reykjavik to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 8 - 14).\n   |- The departure day of Zurich is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Reykjavik, Zurich, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Zurich.\n**Day 3-8:** Visit Zurich for 6 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Milan**Seville",
    "ground_truth_durations": "5**7**5",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Milan",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 7 days. You want to spend 5 days in Vilnius. You have to attend a workshop in Vilnius between day 1 and day 5. You want to spend 5 days in Seville.\n\nHere are the cities that have direct flights:\nVilnius and Milan, Milan and Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 7 days. You want to spend 5 days in Vilnius. You have to attend a workshop in Vilnius between day 1 and day 5. You want to spend 5 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Milan, from Milan to Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Milan.\n**Day 5-11:** Visit Milan for 7 days.\n**Day 11:** Fly from Milan to Seville.\n**Day 11-15:** Visit Seville for 5 days.",
    "id": "trip_planning_example_69",
    "estimated_output_tokens": 706,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 7 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Seville, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Milan, Duration: 7 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Seville] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Vilnius, Milan, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Milan.\n**Day 5-11:** Visit Milan for 7 days.\n**Day 11:** Fly from Milan to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Amsterdam**Dubrovnik",
    "ground_truth_durations": "6**6**7",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You plan to visit relatives in Lyon between day 1 and day 6. You would like to visit Amsterdam for 6 days. You want to spend 7 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nLyon and Amsterdam, Amsterdam and Dubrovnik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You plan to visit relatives in Lyon between day 1 and day 6. You would like to visit Amsterdam for 6 days. You want to spend 7 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Lyon to Amsterdam, from Amsterdam to Dubrovnik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Amsterdam.\n**Day 6-11:** Visit Amsterdam for 6 days.\n**Day 11:** Fly from Amsterdam to Dubrovnik.\n**Day 11-17:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_70",
    "estimated_output_tokens": 691,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Amsterdam, Duration: 6 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Lyon to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Lyon, Amsterdam].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Lyon, Amsterdam, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Amsterdam.\n**Day 6-11:** Visit Amsterdam for 6 days.\n**Day 11:** Fly from Amsterdam to Dubrovnik.\n**Day 11-17:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**London**Krakow",
    "ground_truth_durations": "7**7**3",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "London",
        "Krakow"
      ],
      [
        "Rome",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. From day 13 to day 15, there is a annual show you want to attend in Krakow. You plan to stay in Rome for 7 days. You would like to visit London for 7 days.\n\nHere are the cities that have direct flights:\nLondon and Krakow, Rome and London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. From day 13 to day 15, there is a annual show you want to attend in Krakow. You plan to stay in Rome for 7 days. You would like to visit London for 7 days.\n\nHere are the cities that have direct flights:\nfrom London to Krakow, from Rome to London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-7:** Arriving in Rome and visit Rome for 7 days.\n**Day 7:** Fly from Rome to London.\n**Day 7-13:** Visit London for 7 days.\n**Day 13:** Fly from London to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_71",
    "estimated_output_tokens": 757,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Rome, Duration: 7 days.\n* City: London, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Rome, Duration: 7 days.\n* City: London, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, London] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 13 - 15).\n |- The departure day of Rome is Day 7. The arrival day of Krakow is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Rome to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 13 - 15).\n   |- The departure day of London is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Rome, London].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from London to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Rome, London, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Rome and visit Rome for 7 days.\n**Day 7:** Fly from Rome to London.\n**Day 7-13:** Visit London for 7 days.\n**Day 13:** Fly from London to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Amsterdam**Stuttgart",
    "ground_truth_durations": "3**2**5",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. You want to meet a friend in Bucharest between day 1 and day 3. You plan to stay in Stuttgart for 5 days. You plan to stay in Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nBucharest and Amsterdam, Amsterdam and Stuttgart.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. You want to meet a friend in Bucharest between day 1 and day 3. You plan to stay in Stuttgart for 5 days. You plan to stay in Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Amsterdam, from Amsterdam to Stuttgart.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Stuttgart.\n**Day 4-8:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_72",
    "estimated_output_tokens": 733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Stuttgart, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Amsterdam to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Amsterdam, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Stuttgart.\n**Day 4-8:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Venice**Santorini",
    "ground_truth_durations": "6**4**4",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Venice",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You want to spend 6 days in Helsinki. From day 1 to day 6, there is a annual show you want to attend in Helsinki. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nHelsinki and Venice, Venice and Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You want to spend 6 days in Helsinki. From day 1 to day 6, there is a annual show you want to attend in Helsinki. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Venice, from Venice to Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_73",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 4 days.\n* City: Helsinki, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Venice] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Helsinki to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Helsinki to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Helsinki, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Venice to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Helsinki, Venice, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Munich**Mykonos",
    "ground_truth_durations": "6**4**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You would like to meet your friends at Mykonos between day 9 and day 13 to tour together. You would like to visit Venice for 6 days. You would like to visit Munich for 4 days.\n\nHere are the cities that have direct flights:\nVenice and Munich, Munich and Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You would like to meet your friends at Mykonos between day 9 and day 13 to tour together. You would like to visit Venice for 6 days. You would like to visit Munich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Munich, from Munich to Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Munich.\n**Day 6-9:** Visit Munich for 4 days.\n**Day 9:** Fly from Munich to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_74",
    "estimated_output_tokens": 771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Venice, Duration: 6 days.\n* City: Munich, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 6 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Munich] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 9 - 13).\n |- The departure day of Venice is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n   |- Try arranging to visit Munich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 13).\n   |- The departure day of Munich is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Venice, Munich, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Munich.\n**Day 6-9:** Visit Munich for 4 days.\n**Day 9:** Fly from Munich to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Prague**Valencia",
    "ground_truth_durations": "5**7**7",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Valencia"
      ],
      [
        "Tallinn",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 7 days. From day 11 to day 17, there is a annual show you want to attend in Valencia. You would like to visit Prague for 7 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nPrague and Valencia, Tallinn and Prague.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 7 days. From day 11 to day 17, there is a annual show you want to attend in Valencia. You would like to visit Prague for 7 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Prague to Valencia, from Tallinn to Prague.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Prague.\n**Day 5-11:** Visit Prague for 7 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-17:** Visit Valencia for 7 days.",
    "id": "trip_planning_example_75",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 11 - 17.\n* City: Prague, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 11 - 17.\n\nCities needing arrangement:\n* City: Prague, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Tallinn] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 11 - 17).\n |- The departure day of Prague is Day 7. The arrival day of Valencia is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Prague to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 11 - 17).\n |- The departure day of Tallinn is Day 5. The arrival day of Valencia is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Tallinn to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 11 - 17).\n   |- The departure day of Prague is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Tallinn, Prague].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Prague to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Tallinn, Prague, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Prague.\n**Day 5-11:** Visit Prague for 7 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-17:** Visit Valencia for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**London**Stuttgart",
    "ground_truth_durations": "2**6**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Stuttgart"
      ],
      [
        "Brussels",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 6 days in London. You want to spend 2 days in Stuttgart. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 1 and day 2.\n\nHere are the cities that have direct flights:\nLondon and Stuttgart, Brussels and London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 6 days in London. You want to spend 2 days in Stuttgart. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom London to Stuttgart, from Brussels to London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_76",
    "estimated_output_tokens": 673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 6 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: London, Duration: 6 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Stuttgart] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Brussels to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from London to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Brussels, London, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Nice**Lyon",
    "ground_truth_durations": "4**6**3",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Nice",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 6 days. You would like to visit Lyon for 3 days. You plan to stay in Hamburg for 4 days. During day 1 and day 4, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nHamburg and Nice, Nice and Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 6 days. You would like to visit Lyon for 3 days. You plan to stay in Hamburg for 4 days. During day 1 and day 4, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Nice, from Nice to Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Nice.\n**Day 4-9:** Visit Nice for 6 days.\n**Day 9:** Fly from Nice to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_77",
    "estimated_output_tokens": 673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 6 days.\n* City: Lyon, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Nice, Duration: 6 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Lyon] and explore these options in order.\n   |- Try arranging to visit Nice from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Hamburg to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Nice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Nice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Nice, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Nice.\n**Day 4-9:** Visit Nice for 6 days.\n**Day 9:** Fly from Nice to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Frankfurt**Venice",
    "ground_truth_durations": "3**6**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Krakow",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to stay in Krakow for 3 days. During day 1 and day 3, you have to attend a conference in Krakow. You want to spend 6 days in Frankfurt.\n\nHere are the cities that have direct flights:\nFrankfurt and Venice, Krakow and Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to stay in Krakow for 3 days. During day 1 and day 3, you have to attend a conference in Krakow. You want to spend 6 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Venice, from Krakow to Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Frankfurt.\n**Day 3-8:** Visit Frankfurt for 6 days.\n**Day 8:** Fly from Frankfurt to Venice.\n**Day 8-11:** Visit Venice for 4 days.",
    "id": "trip_planning_example_78",
    "estimated_output_tokens": 733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Frankfurt, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Frankfurt, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Krakow to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Krakow, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Frankfurt, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Frankfurt.\n**Day 3-8:** Visit Frankfurt for 6 days.\n**Day 8:** Fly from Frankfurt to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Dublin**Split",
    "ground_truth_durations": "6**4**4",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Dublin",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You plan to visit relatives in Split between day 9 and day 12. You would like to visit Dublin for 4 days. You would like to visit Valencia for 6 days.\n\nHere are the cities that have direct flights:\nValencia and Dublin, Dublin and Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You plan to visit relatives in Split between day 9 and day 12. You would like to visit Dublin for 4 days. You would like to visit Valencia for 6 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Dublin, from Dublin to Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Valencia and visit Valencia for 6 days.\n**Day 6:** Fly from Valencia to Dublin.\n**Day 6-9:** Visit Dublin for 4 days.\n**Day 9:** Fly from Dublin to Split.\n**Day 9-12:** Visit Split for 4 days.",
    "id": "trip_planning_example_79",
    "estimated_output_tokens": 992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Dublin, Duration: 4 days.\n* City: Valencia, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Dublin, Duration: 4 days.\n* City: Valencia, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Valencia] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 9 - 12).\n |- The departure day of Dublin is Day 4. The arrival day of Split is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dublin to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 9 - 12).\n |- The departure day of Valencia is Day 6. The arrival day of Split is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Valencia to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 12).\n   |- The departure day of Dublin is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Dublin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n     |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Dublin to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Valencia, Dublin, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Valencia and visit Valencia for 6 days.\n**Day 6:** Fly from Valencia to Dublin.\n**Day 6-9:** Visit Dublin for 4 days.\n**Day 9:** Fly from Dublin to Split.\n**Day 9-12:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Copenhagen**Riga",
    "ground_truth_durations": "5**4**7",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Valencia",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 5 days. You would like to visit Riga for 7 days. You plan to visit relatives in Riga between day 8 and day 14. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Riga, Valencia and Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 5 days. You would like to visit Riga for 7 days. You plan to visit relatives in Riga between day 8 and day 14. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Riga, from Valencia to Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Riga.\n**Day 8-14:** Visit Riga for 7 days.",
    "id": "trip_planning_example_80",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Copenhagen, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Copenhagen] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 14).\n |- The departure day of Valencia is Day 5. The arrival day of Riga is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 8 - 14).\n   |- The departure day of Copenhagen is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Valencia, Copenhagen].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Copenhagen to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Valencia, Copenhagen, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Riga.\n**Day 8-14:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Budapest**Mykonos",
    "ground_truth_durations": "2**3**6",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Hamburg",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 6 days. During day 4 and day 9, you have to attend a conference in Mykonos. You would like to visit Budapest for 3 days. You want to spend 2 days in Hamburg.\n\nHere are the cities that have direct flights:\nBudapest and Mykonos, Hamburg and Budapest.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 6 days. During day 4 and day 9, you have to attend a conference in Mykonos. You would like to visit Budapest for 3 days. You want to spend 2 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Budapest to Mykonos, from Hamburg to Budapest.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Mykonos.\n**Day 4-9:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_81",
    "estimated_output_tokens": 1023,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Budapest, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 4 - 9.\n\nCities needing arrangement:\n* City: Budapest, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Hamburg] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 9).\n |- The departure day of Budapest is Day 3. The arrival day of Mykonos is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Budapest to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 9).\n |- The departure day of Hamburg is Day 2. The arrival day of Mykonos is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 4 - 9).\n   |- The departure day of Budapest is Day 4. The arrival day of Mykonos is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Budapest, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Mykonos.\n**Day 4-9:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Istanbul**Vilnius",
    "ground_truth_durations": "5**2**5",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. You want to spend 5 days in London. You want to meet a friend in London between day 1 and day 5. You plan to stay in Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Istanbul, Istanbul and Vilnius.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. You want to spend 5 days in London. You want to meet a friend in London between day 1 and day 5. You plan to stay in Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Istanbul, from Istanbul to Vilnius.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_82",
    "estimated_output_tokens": 739,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Istanbul, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Lisbon**Lyon",
    "ground_truth_durations": "2**7**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Zurich",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 7 days. You would like to visit Lyon for 6 days. During day 8 and day 13, you have to attend a conference in Lyon. You would like to visit Zurich for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Lyon, Zurich and Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 7 days. You would like to visit Lyon for 6 days. During day 8 and day 13, you have to attend a conference in Lyon. You would like to visit Zurich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Lyon, from Zurich to Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Lisbon.\n**Day 2-8:** Visit Lisbon for 7 days.\n**Day 8:** Fly from Lisbon to Lyon.\n**Day 8-13:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_83",
    "estimated_output_tokens": 999,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 7 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Zurich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 7 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Zurich] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 13).\n |- The departure day of Lisbon is Day 7. The arrival day of Lyon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Lisbon to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 13).\n |- The departure day of Zurich is Day 2. The arrival day of Lyon is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Zurich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 8 - 13).\n   |- The departure day of Lisbon is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Lisbon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Zurich, Lisbon, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Lisbon.\n**Day 2-8:** Visit Lisbon for 7 days.\n**Day 8:** Fly from Lisbon to Lyon.\n**Day 8-13:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Warsaw**Bucharest",
    "ground_truth_durations": "4**4**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. From day 1 to day 4, there is a annual show you want to attend in Helsinki. You want to spend 4 days in Bucharest. You plan to stay in Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nHelsinki and Warsaw, Warsaw and Bucharest.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. From day 1 to day 4, there is a annual show you want to attend in Helsinki. You want to spend 4 days in Bucharest. You plan to stay in Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Warsaw, from Warsaw to Bucharest.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Warsaw.\n**Day 4-7:** Visit Warsaw for 4 days.\n**Day 7:** Fly from Warsaw to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_84",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Duration: 4 days.\n* City: Warsaw, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Warsaw] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Warsaw, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Warsaw.\n**Day 4-7:** Visit Warsaw for 4 days.\n**Day 7:** Fly from Warsaw to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Paris**Florence",
    "ground_truth_durations": "2**3**7",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Florence"
      ],
      [
        "Split",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 7 days. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 1 and day 2 to tour together. You plan to stay in Paris for 3 days.\n\nHere are the cities that have direct flights:\nParis and Florence, Split and Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 7 days. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 1 and day 2 to tour together. You plan to stay in Paris for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Florence, from Split to Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Florence.\n**Day 4-10:** Visit Florence for 7 days.",
    "id": "trip_planning_example_85",
    "estimated_output_tokens": 717,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 7 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Paris, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Florence, Duration: 7 days.\n* City: Paris, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Paris] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Split to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Paris, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Florence.\n**Day 4-10:** Visit Florence for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Brussels**Krakow",
    "ground_truth_durations": "6**3**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Bucharest",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 3 days. You would like to visit Krakow for 4 days. From day 8 to day 11, there is a annual show you want to attend in Krakow. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nBrussels and Krakow, Bucharest and Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 3 days. You would like to visit Krakow for 4 days. From day 8 to day 11, there is a annual show you want to attend in Krakow. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Krakow, from Bucharest to Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-6:** Arriving in Bucharest and visit Bucharest for 6 days.\n**Day 6:** Fly from Bucharest to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_86",
    "estimated_output_tokens": 1022,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Bucharest, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 3 days.\n* City: Bucharest, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Bucharest] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Brussels is Day 3. The arrival day of Krakow is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Brussels to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Bucharest is Day 6. The arrival day of Krakow is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Bucharest to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 8 - 11).\n   |- The departure day of Brussels is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Brussels to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Bucharest, Brussels, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Bucharest and visit Bucharest for 6 days.\n**Day 6:** Fly from Bucharest to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Amsterdam**Mykonos",
    "ground_truth_durations": "2**2**5",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Riga",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 1 and day 2. You want to spend 2 days in Amsterdam. You plan to stay in Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Mykonos, Riga and Amsterdam.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 1 and day 2. You want to spend 2 days in Amsterdam. You plan to stay in Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Mykonos, from Riga to Amsterdam.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Amsterdam.\n**Day 2-3:** Visit Amsterdam for 2 days.\n**Day 3:** Fly from Amsterdam to Mykonos.\n**Day 3-7:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_87",
    "estimated_output_tokens": 700,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Mykonos] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Riga, Amsterdam].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Amsterdam to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Amsterdam, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Amsterdam.\n**Day 2-3:** Visit Amsterdam for 2 days.\n**Day 3:** Fly from Amsterdam to Mykonos.\n**Day 3-7:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Amsterdam**Seville",
    "ground_truth_durations": "4**6**4",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 6 days. You want to spend 4 days in Seville. You want to spend 4 days in Lyon. From day 1 to day 4, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nLyon and Amsterdam, Amsterdam and Seville.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 6 days. You want to spend 4 days in Seville. You want to spend 4 days in Lyon. From day 1 to day 4, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nfrom Lyon to Amsterdam, from Amsterdam to Seville.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Amsterdam.\n**Day 4-9:** Visit Amsterdam for 6 days.\n**Day 9:** Fly from Amsterdam to Seville.\n**Day 9-12:** Visit Seville for 4 days.",
    "id": "trip_planning_example_88",
    "estimated_output_tokens": 682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 6 days.\n* City: Seville, Duration: 4 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Seville] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Lyon to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Lyon, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Amsterdam to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Amsterdam, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Amsterdam.\n**Day 4-9:** Visit Amsterdam for 6 days.\n**Day 9:** Fly from Amsterdam to Seville.\n**Day 9-12:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Nice**Mykonos",
    "ground_truth_durations": "6**6**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You want to spend 6 days in Nice. You would like to visit Helsinki for 6 days. From day 1 to day 6, there is a annual show you want to attend in Helsinki.\n\nHere are the cities that have direct flights:\nHelsinki and Nice, Nice and Mykonos.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You want to spend 6 days in Nice. You would like to visit Helsinki for 6 days. From day 1 to day 6, there is a annual show you want to attend in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Nice, from Nice to Mykonos.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Nice.\n**Day 6-11:** Visit Nice for 6 days.\n**Day 11:** Fly from Nice to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_89",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 6 days.\n* City: Helsinki, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Helsinki to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Helsinki to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Helsinki, Nice].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Nice to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Helsinki, Nice, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Nice.\n**Day 6-11:** Visit Nice for 6 days.\n**Day 11:** Fly from Nice to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Vienna**Vilnius",
    "ground_truth_durations": "5**7**7",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Vienna"
      ],
      [
        "Vienna",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 7 days. You want to spend 5 days in Naples. You plan to visit relatives in Naples between day 1 and day 5. You plan to stay in Vienna for 7 days.\n\nHere are the cities that have direct flights:\nNaples and Vienna, Vienna and Vilnius.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 7 days. You want to spend 5 days in Naples. You plan to visit relatives in Naples between day 1 and day 5. You plan to stay in Vienna for 7 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Vienna, from Vienna to Vilnius.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Vienna.\n**Day 5-11:** Visit Vienna for 7 days.\n**Day 11:** Fly from Vienna to Vilnius.\n**Day 11-17:** Visit Vilnius for 7 days.",
    "id": "trip_planning_example_90",
    "estimated_output_tokens": 745,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 7 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 7 days.\n* City: Vienna, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Naples to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Naples to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Naples, Vienna].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Vienna to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Naples, Vienna, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Vienna.\n**Day 5-11:** Visit Vienna for 7 days.\n**Day 11:** Fly from Vienna to Vilnius.\n**Day 11-17:** Visit Vilnius for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Vienna**Riga",
    "ground_truth_durations": "3**2**7",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You plan to stay in Krakow for 3 days. You would like to visit Riga for 7 days. From day 4 to day 10, there is a annual show you want to attend in Riga.\n\nHere are the cities that have direct flights:\nKrakow and Vienna, Vienna and Riga.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You plan to stay in Krakow for 3 days. You would like to visit Riga for 7 days. From day 4 to day 10, there is a annual show you want to attend in Riga.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vienna, from Vienna to Riga.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Vienna.\n**Day 3-4:** Visit Vienna for 2 days.\n**Day 4:** Fly from Vienna to Riga.\n**Day 4-10:** Visit Riga for 7 days.",
    "id": "trip_planning_example_91",
    "estimated_output_tokens": 1022,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Vienna, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Krakow] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 10).\n |- The departure day of Vienna is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 10).\n |- The departure day of Krakow is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Krakow to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 10).\n   |- The departure day of Vienna is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Vienna, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Vienna.\n**Day 3-4:** Visit Vienna for 2 days.\n**Day 4:** Fly from Vienna to Riga.\n**Day 4-10:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Riga**Vilnius",
    "ground_truth_durations": "2**5**7",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Riga"
      ],
      [
        "Riga",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You plan to stay in Vilnius for 7 days. You would like to visit Dublin for 2 days.\n\nHere are the cities that have direct flights:\nDublin and Riga, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You plan to stay in Vilnius for 7 days. You would like to visit Dublin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Riga, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.",
    "id": "trip_planning_example_92",
    "estimated_output_tokens": 1405,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Vilnius, Duration: 7 days.\n* City: Dublin, Duration: 2 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Vilnius, Duration: 7 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Vilnius, Dublin] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Dublin] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Riga, Vilnius].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Vilnius to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Riga to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dublin] and explore these options in order.\n   |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Vilnius to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vilnius to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dublin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Riga to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dublin, Riga, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Dublin**Dubrovnik",
    "ground_truth_durations": "6**4**2",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Dublin"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 9 and day 10. You want to spend 4 days in Dublin. You would like to visit Seville for 6 days.\n\nHere are the cities that have direct flights:\nSeville and Dublin, Dublin and Dubrovnik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 9 and day 10. You want to spend 4 days in Dublin. You would like to visit Seville for 6 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Dublin, from Dublin to Dubrovnik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Dublin.\n**Day 6-9:** Visit Dublin for 4 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-10:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_93",
    "estimated_output_tokens": 1032,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Dublin, Duration: 4 days.\n* City: Seville, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Dublin, Duration: 4 days.\n* City: Seville, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Seville] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 9 - 10).\n |- The departure day of Dublin is Day 4. The arrival day of Dubrovnik is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dublin to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 9 - 10).\n |- The departure day of Seville is Day 6. The arrival day of Dubrovnik is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Seville to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 9 - 10).\n   |- The departure day of Dublin is Day 9. The arrival day of Dubrovnik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Seville, Dublin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Dublin to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Dublin, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Dublin.\n**Day 6-9:** Visit Dublin for 4 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-10:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**London**Lyon",
    "ground_truth_durations": "7**3**3",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "London"
      ],
      [
        "London",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You would like to visit Krakow for 7 days. You would like to visit Lyon for 3 days. You would like to meet your friends at Lyon between day 9 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and London, London and Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You would like to visit Krakow for 7 days. You would like to visit Lyon for 3 days. You would like to meet your friends at Lyon between day 9 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to London, from London to Lyon.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_94",
    "estimated_output_tokens": 1005,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days.\n* City: Krakow, Duration: 7 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Krakow] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 9 - 11).\n |- The departure day of London is Day 3. The arrival day of Lyon is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from London to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 9 - 11).\n |- The departure day of Krakow is Day 7. The arrival day of Lyon is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Krakow to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 9 - 11).\n   |- The departure day of London is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, London, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Vienna**Vilnius",
    "ground_truth_durations": "6**5**3",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Dublin",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You plan to stay in Vienna for 5 days. You plan to stay in Dublin for 6 days. You are going to attend a wedding in Dublin between day 1 and day 6.\n\nHere are the cities that have direct flights:\nVienna and Vilnius, Dublin and Vienna.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You plan to stay in Vienna for 5 days. You plan to stay in Dublin for 6 days. You are going to attend a wedding in Dublin between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Vienna to Vilnius, from Dublin to Vienna.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Dublin and visit Dublin for 6 days.\n**Day 6:** Fly from Dublin to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_95",
    "estimated_output_tokens": 742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n* City: Dublin, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Dublin to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Dublin to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Dublin, Vienna].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Vienna to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dublin, Vienna, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Dublin and visit Dublin for 6 days.\n**Day 6:** Fly from Dublin to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Berlin**Krakow",
    "ground_truth_durations": "6**7**4",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 12,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Naples",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 7 days. You plan to stay in Naples for 6 days. You plan to stay in Krakow for 4 days. You would like to meet your friends at Krakow between day 12 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nBerlin and Krakow, Naples and Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 7 days. You plan to stay in Naples for 6 days. You plan to stay in Krakow for 4 days. You would like to meet your friends at Krakow between day 12 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Berlin to Krakow, from Naples to Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-6:** Arriving in Naples and visit Naples for 6 days.\n**Day 6:** Fly from Naples to Berlin.\n**Day 6-12:** Visit Berlin for 7 days.\n**Day 12:** Fly from Berlin to Krakow.\n**Day 12-15:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_96",
    "estimated_output_tokens": 1007,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 7 days.\n* City: Naples, Duration: 6 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Berlin, Duration: 7 days.\n* City: Naples, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Naples] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 12 - 15).\n |- The departure day of Berlin is Day 7. The arrival day of Krakow is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n   |- Try arranging to visit Naples from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Berlin to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 12 - 15).\n |- The departure day of Naples is Day 6. The arrival day of Krakow is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Naples to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 12 - 15).\n   |- The departure day of Berlin is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Naples, Berlin].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Berlin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Naples, Berlin, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Naples and visit Naples for 6 days.\n**Day 6:** Fly from Naples to Berlin.\n**Day 6-12:** Visit Berlin for 7 days.\n**Day 12:** Fly from Berlin to Krakow.\n**Day 12-15:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Frankfurt**Lyon",
    "ground_truth_durations": "7**5**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You have to attend a workshop in Lyon between day 11 and day 14. You plan to stay in Frankfurt for 5 days. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nZurich and Frankfurt, Frankfurt and Lyon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You have to attend a workshop in Lyon between day 11 and day 14. You plan to stay in Frankfurt for 5 days. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Frankfurt, from Frankfurt to Lyon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_97",
    "estimated_output_tokens": 996,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Frankfurt, Duration: 5 days.\n* City: Zurich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Zurich] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 14).\n |- The departure day of Frankfurt is Day 5. The arrival day of Lyon is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Frankfurt to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 14).\n |- The departure day of Zurich is Day 7. The arrival day of Lyon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Zurich to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 11 - 14).\n   |- The departure day of Frankfurt is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Zurich, Frankfurt].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Zurich, Frankfurt, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Zurich and visit Zurich for 7 days.\n**Day 7:** Fly from Zurich to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Copenhagen**Split",
    "ground_truth_durations": "4**2**2",
    "num_cities": 3,
    "total_days": 6,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You want to meet a friend in Split between day 5 and day 6. You want to spend 4 days in Istanbul. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Split, Istanbul and Copenhagen.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You want to meet a friend in Split between day 5 and day 6. You want to spend 4 days in Istanbul. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Split, from Istanbul to Copenhagen.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 6 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Split.\n**Day 5-6:** Visit Split for 2 days.",
    "id": "trip_planning_example_98",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Istanbul, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Copenhagen] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 6).\n |- The departure day of Istanbul is Day 4. The arrival day of Split is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Istanbul to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 5 - 6).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Copenhagen, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Split.\n**Day 5-6:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**London**Krakow",
    "ground_truth_durations": "6**5**5",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Krakow"
      ],
      [
        "Santorini",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 6 days. From day 1 to day 6, there is a annual show you want to attend in Santorini. You plan to stay in Krakow for 5 days. You would like to visit London for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Krakow, Santorini and London.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 6 days. From day 1 to day 6, there is a annual show you want to attend in Santorini. You plan to stay in Krakow for 5 days. You would like to visit London for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Krakow, from Santorini to London.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Santorini and visit Santorini for 6 days.\n**Day 6:** Fly from Santorini to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Krakow.\n**Day 10-14:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_99",
    "estimated_output_tokens": 754,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Krakow, Duration: 5 days.\n* City: London, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, London] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Santorini to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Santorini to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Santorini, London].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from London to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Santorini, London, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Santorini and visit Santorini for 6 days.\n**Day 6:** Fly from Santorini to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Krakow.\n**Day 10-14:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Helsinki**Riga",
    "ground_truth_durations": "6**2**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to visit Riga for 2 days. You would like to visit Tallinn for 6 days. You would like to meet your friends at Tallinn between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nHelsinki and Riga, from Riga to Tallinn, Tallinn and Helsinki.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to visit Riga for 2 days. You would like to visit Tallinn for 6 days. You would like to meet your friends at Tallinn between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Riga, from Riga to Tallinn, from Tallinn to Helsinki.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Helsinki.\n**Day 6-7:** Visit Helsinki for 2 days.\n**Day 7:** Fly from Helsinki to Riga.\n**Day 7-8:** Visit Riga for 2 days.",
    "id": "trip_planning_example_100",
    "estimated_output_tokens": 694,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Tallinn to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Helsinki to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Helsinki, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Helsinki.\n**Day 6-7:** Visit Helsinki for 2 days.\n**Day 7:** Fly from Helsinki to Riga.\n**Day 7-8:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Oslo**Krakow",
    "ground_truth_durations": "4**5**2",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Rome",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You plan to stay in Rome for 4 days. You would like to meet your friends at Rome between day 1 and day 4 to tour together. You would like to visit Oslo for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Krakow, Rome and Oslo.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You plan to stay in Rome for 4 days. You would like to meet your friends at Rome between day 1 and day 4 to tour together. You would like to visit Oslo for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Krakow, from Rome to Oslo.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_101",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Oslo] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Rome to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Rome to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Oslo to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Oslo, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Tallinn",
    "ground_truth_durations": "6**3**5",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Salzburg",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 6 days. You plan to stay in Istanbul for 3 days. You plan to stay in Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Tallinn, Salzburg and Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 6 days. You plan to stay in Istanbul for 3 days. You plan to stay in Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Tallinn, from Salzburg to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Salzburg and visit Salzburg for 6 days.\n**Day 6:** Fly from Salzburg to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_102",
    "estimated_output_tokens": 681,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 6 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 6 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Istanbul, Tallinn] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Istanbul, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Salzburg and visit Salzburg for 6 days.\n**Day 6:** Fly from Salzburg to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Istanbul**Stuttgart",
    "ground_truth_durations": "7**3**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 7 days. You would like to visit Stuttgart for 7 days. You would like to meet your friends at Stuttgart between day 9 and day 15 to tour together. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Stuttgart, Oslo and Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 7 days. You would like to visit Stuttgart for 7 days. You would like to meet your friends at Stuttgart between day 9 and day 15 to tour together. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Stuttgart, from Oslo to Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Istanbul.\n**Day 7-9:** Visit Istanbul for 3 days.\n**Day 9:** Fly from Istanbul to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_103",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 7 days.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Oslo, Duration: 7 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Istanbul] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 9 - 15).\n |- The departure day of Oslo is Day 7. The arrival day of Stuttgart is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Oslo to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 9 - 15).\n   |- The departure day of Istanbul is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Oslo, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Istanbul to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Oslo, Istanbul, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Istanbul.\n**Day 7-9:** Visit Istanbul for 3 days.\n**Day 9:** Fly from Istanbul to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Frankfurt**Dubrovnik",
    "ground_truth_durations": "4**4**5",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 4 days in Warsaw. During day 1 and day 4, you have to attend a conference in Warsaw. You plan to stay in Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Dubrovnik, Warsaw and Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 4 days in Warsaw. During day 1 and day 4, you have to attend a conference in Warsaw. You plan to stay in Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Dubrovnik, from Warsaw to Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_104",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Warsaw to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Warsaw to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Frankfurt to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Frankfurt, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Split",
    "ground_truth_durations": "3**5**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Split"
      ],
      [
        "Seville",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You would like to visit Rome for 5 days. You plan to stay in Seville for 3 days. You want to meet a friend in Seville between day 1 and day 3.\n\nHere are the cities that have direct flights:\nRome and Split, Seville and Rome.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You would like to visit Rome for 5 days. You plan to stay in Seville for 3 days. You want to meet a friend in Seville between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Rome to Split, from Seville to Rome.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Rome.\n**Day 3-7:** Visit Rome for 5 days.\n**Day 7:** Fly from Rome to Split.\n**Day 7-10:** Visit Split for 4 days.",
    "id": "trip_planning_example_105",
    "estimated_output_tokens": 728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Split, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Rome] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Rome, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Rome.\n**Day 3-7:** Visit Rome for 5 days.\n**Day 7:** Fly from Rome to Split.\n**Day 7-10:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Reykjavik",
    "ground_truth_durations": "7**7**7",
    "num_cities": 3,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Munich"
      ],
      [
        "Munich",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Munich. You want to spend 7 days in Seville. You are going to attend a wedding in Seville between day 1 and day 7. You plan to stay in Reykjavik for 7 days.\n\nHere are the cities that have direct flights:\nSeville and Munich, Munich and Reykjavik.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Munich. You want to spend 7 days in Seville. You are going to attend a wedding in Seville between day 1 and day 7. You plan to stay in Reykjavik for 7 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Munich, from Munich to Reykjavik.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 19 days:\n\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Munich.\n**Day 7-13:** Visit Munich for 7 days.\n**Day 13:** Fly from Munich to Reykjavik.\n**Day 13-19:** Visit Reykjavik for 7 days.",
    "id": "trip_planning_example_106",
    "estimated_output_tokens": 710,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 7 days.\n* City: Seville, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Reykjavik, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Munich, Duration: 7 days.\n* City: Reykjavik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Munich from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 19. Current plan: [Seville, Munich, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Munich.\n**Day 7-13:** Visit Munich for 7 days.\n**Day 13:** Fly from Munich to Reykjavik.\n**Day 13-19:** Visit Reykjavik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Zurich**Porto",
    "ground_truth_durations": "5**7**3",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 3 days. From day 11 to day 13, there is a annual show you want to attend in Porto. You plan to stay in Helsinki for 5 days. You plan to stay in Zurich for 7 days.\n\nHere are the cities that have direct flights:\nHelsinki and Zurich, Zurich and Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 3 days. From day 11 to day 13, there is a annual show you want to attend in Porto. You plan to stay in Helsinki for 5 days. You plan to stay in Zurich for 7 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Zurich, from Zurich to Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-11:** Visit Zurich for 7 days.\n**Day 11:** Fly from Zurich to Porto.\n**Day 11-13:** Visit Porto for 3 days.",
    "id": "trip_planning_example_107",
    "estimated_output_tokens": 747,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Helsinki, Duration: 5 days.\n* City: Zurich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Zurich] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 13).\n |- The departure day of Helsinki is Day 5. The arrival day of Porto is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Helsinki to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n   |- The departure day of Zurich is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Helsinki, Zurich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Helsinki, Zurich, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-11:** Visit Zurich for 7 days.\n**Day 11:** Fly from Zurich to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Frankfurt**Venice",
    "ground_truth_durations": "4**7**2",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 4 days. You plan to stay in Venice for 2 days. You are going to attend a wedding in Venice between day 10 and day 11. You plan to stay in Frankfurt for 7 days.\n\nHere are the cities that have direct flights:\nMilan and Frankfurt, Frankfurt and Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 4 days. You plan to stay in Venice for 2 days. You are going to attend a wedding in Venice between day 10 and day 11. You plan to stay in Frankfurt for 7 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Frankfurt, from Frankfurt to Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Frankfurt.\n**Day 4-10:** Visit Frankfurt for 7 days.\n**Day 10:** Fly from Frankfurt to Venice.\n**Day 10-11:** Visit Venice for 2 days.",
    "id": "trip_planning_example_108",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Frankfurt, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Frankfurt, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Frankfurt] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 11).\n |- The departure day of Milan is Day 4. The arrival day of Venice is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Milan to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 10 - 11).\n   |- The departure day of Frankfurt is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Milan, Frankfurt].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Milan, Frankfurt, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Frankfurt.\n**Day 4-10:** Visit Frankfurt for 7 days.\n**Day 10:** Fly from Frankfurt to Venice.\n**Day 10-11:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Zurich**Porto",
    "ground_truth_durations": "2**7**7",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Porto. You would like to visit Zurich for 7 days. You would like to visit Bucharest for 2 days. From day 1 to day 2, there is a annual show you want to attend in Bucharest.\n\nHere are the cities that have direct flights:\nBucharest and Zurich, Zurich and Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Porto. You would like to visit Zurich for 7 days. You would like to visit Bucharest for 2 days. From day 1 to day 2, there is a annual show you want to attend in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Zurich, from Zurich to Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Zurich.\n**Day 2-8:** Visit Zurich for 7 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.",
    "id": "trip_planning_example_109",
    "estimated_output_tokens": 733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 7 days.\n* City: Zurich, Duration: 7 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Porto, Duration: 7 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Zurich] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Bucharest to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Bucharest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Bucharest, Zurich, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Zurich.\n**Day 2-8:** Visit Zurich for 7 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Dublin**Krakow",
    "ground_truth_durations": "2**3**3",
    "num_cities": 3,
    "total_days": 6,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Porto",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 2 days. From day 1 to day 2, there is a annual show you want to attend in Porto. You would like to visit Krakow for 3 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Krakow, Porto and Dublin.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 2 days. From day 1 to day 2, there is a annual show you want to attend in Porto. You would like to visit Krakow for 3 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Krakow, from Porto to Dublin.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 6 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Dublin.\n**Day 2-4:** Visit Dublin for 3 days.\n**Day 4:** Fly from Dublin to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_110",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Dublin] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Dublin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Dublin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Dublin, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Dublin.\n**Day 2-4:** Visit Dublin for 3 days.\n**Day 4:** Fly from Dublin to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Zurich**Mykonos",
    "ground_truth_durations": "6**4**6",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Copenhagen. You plan to stay in Zurich for 4 days. You want to spend 6 days in Mykonos. You would like to meet your friends at Mykonos between day 9 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nZurich and Mykonos, Copenhagen and Zurich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Copenhagen. You plan to stay in Zurich for 4 days. You want to spend 6 days in Mykonos. You would like to meet your friends at Mykonos between day 9 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nfrom Zurich to Mykonos, from Copenhagen to Zurich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Copenhagen and visit Copenhagen for 6 days.\n**Day 6:** Fly from Copenhagen to Zurich.\n**Day 6-9:** Visit Zurich for 4 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-14:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_111",
    "estimated_output_tokens": 771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 6 days.\n* City: Zurich, Duration: 4 days.\n* City: Mykonos, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 6 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Zurich] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 9 - 14).\n |- The departure day of Copenhagen is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Copenhagen to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 14).\n   |- The departure day of Zurich is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Zurich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Copenhagen, Zurich, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Copenhagen and visit Copenhagen for 6 days.\n**Day 6:** Fly from Copenhagen to Zurich.\n**Day 6-9:** Visit Zurich for 4 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-14:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Vienna**Reykjavik",
    "ground_truth_durations": "7**4**5",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Lyon",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 5 days. From day 10 to day 14, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Vienna. You plan to stay in Lyon for 7 days.\n\nHere are the cities that have direct flights:\nVienna and Reykjavik, Lyon and Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 5 days. From day 10 to day 14, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Vienna. You plan to stay in Lyon for 7 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Reykjavik, from Lyon to Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_112",
    "estimated_output_tokens": 1034,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Lyon] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 10 - 14).\n |- The departure day of Vienna is Day 4. The arrival day of Reykjavik is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Vienna to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 10 - 14).\n |- The departure day of Lyon is Day 7. The arrival day of Reykjavik is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Lyon to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 14).\n   |- The departure day of Vienna is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Lyon, Vienna].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Vienna to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Lyon, Vienna, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Milan**Seville",
    "ground_truth_durations": "3**7**4",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Seville"
      ],
      [
        "Naples",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You would like to visit Seville for 4 days. From day 9 to day 12, there is a annual show you want to attend in Seville. You want to spend 7 days in Milan.\n\nHere are the cities that have direct flights:\nMilan and Seville, Naples and Milan.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You would like to visit Seville for 4 days. From day 9 to day 12, there is a annual show you want to attend in Seville. You want to spend 7 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Milan to Seville, from Naples to Milan.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Milan.\n**Day 3-9:** Visit Milan for 7 days.\n**Day 9:** Fly from Milan to Seville.\n**Day 9-12:** Visit Seville for 4 days.",
    "id": "trip_planning_example_113",
    "estimated_output_tokens": 762,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Milan, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Naples, Duration: 3 days.\n* City: Milan, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Milan] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 12).\n |- The departure day of Naples is Day 3. The arrival day of Seville is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Naples to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 9 - 12).\n   |- The departure day of Milan is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Milan].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Milan, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Milan.\n**Day 3-9:** Visit Milan for 7 days.\n**Day 9:** Fly from Milan to Seville.\n**Day 9-12:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Dublin**Venice",
    "ground_truth_durations": "5**3**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Venice"
      ],
      [
        "Riga",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 1 and day 5. You plan to stay in Venice for 4 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Venice, Riga and Dublin.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 1 and day 5. You plan to stay in Venice for 4 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Venice, from Riga to Dublin.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Dublin.\n**Day 5-7:** Visit Dublin for 3 days.\n**Day 7:** Fly from Dublin to Venice.\n**Day 7-10:** Visit Venice for 4 days.",
    "id": "trip_planning_example_114",
    "estimated_output_tokens": 730,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Dublin] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Riga to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dublin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Riga, Dublin, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Dublin.\n**Day 5-7:** Visit Dublin for 3 days.\n**Day 7:** Fly from Dublin to Venice.\n**Day 7-10:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Amsterdam**Tallinn",
    "ground_truth_durations": "2**4**6",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 5,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "London",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit London for 2 days. You plan to stay in Amsterdam for 4 days. You want to spend 6 days in Tallinn. From day 5 to day 10, there is a annual show you want to attend in Tallinn.\n\nHere are the cities that have direct flights:\nAmsterdam and Tallinn, London and Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit London for 2 days. You plan to stay in Amsterdam for 4 days. You want to spend 6 days in Tallinn. From day 5 to day 10, there is a annual show you want to attend in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Tallinn, from London to Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Tallinn.\n**Day 5-10:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_115",
    "estimated_output_tokens": 754,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Amsterdam] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 5 - 10).\n |- The departure day of London is Day 2. The arrival day of Tallinn is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 5 - 10).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Amsterdam, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Tallinn.\n**Day 5-10:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**London**Santorini",
    "ground_truth_durations": "6**7**7",
    "num_cities": 3,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 12,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "London",
        "Santorini"
      ],
      [
        "Split",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. You plan to stay in Santorini for 7 days. During day 12 and day 18, you have to attend a conference in Santorini. You want to spend 7 days in London.\n\nHere are the cities that have direct flights:\nLondon and Santorini, Split and London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. You plan to stay in Santorini for 7 days. During day 12 and day 18, you have to attend a conference in Santorini. You want to spend 7 days in London.\n\nHere are the cities that have direct flights:\nfrom London to Santorini, from Split to London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 18 days:\n\n**Day 1-6:** Arriving in Split and visit Split for 6 days.\n**Day 6:** Fly from Split to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Santorini.\n**Day 12-18:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_116",
    "estimated_output_tokens": 765,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 6 days.\n* City: Santorini, Duration: 7 days, Fixed Schedule: Day 12 - 18.\n* City: London, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 12 - 18.\n\nCities needing arrangement:\n* City: Split, Duration: 6 days.\n* City: London, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, London] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 12 - 18).\n |- The departure day of Split is Day 6. The arrival day of Santorini is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Split to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 12 - 18).\n   |- The departure day of London is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Split, London].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Split, London, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Split and visit Split for 6 days.\n**Day 6:** Fly from Split to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Santorini.\n**Day 12-18:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Athens**Santorini",
    "ground_truth_durations": "6**5**7",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Santorini"
      ],
      [
        "Reykjavik",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 6 days. You plan to stay in Athens for 5 days. You would like to visit Santorini for 7 days.\n\nHere are the cities that have direct flights:\nAthens and Santorini, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 6 days. You plan to stay in Athens for 5 days. You would like to visit Santorini for 7 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Santorini, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Santorini.\n**Day 10-16:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_117",
    "estimated_output_tokens": 714,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 6 days.\n* City: Athens, Duration: 5 days.\n* City: Santorini, Duration: 7 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 6 days.\n* City: Athens, Duration: 5 days.\n* City: Santorini, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Athens, Santorini] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Santorini] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Reykjavik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Reykjavik, Athens].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Reykjavik, Athens, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Santorini.\n**Day 10-16:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Split**Krakow",
    "ground_truth_durations": "5**7**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Krakow"
      ],
      [
        "Rome",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Split. You would like to visit Rome for 5 days. During day 1 and day 5, you have to attend a conference in Rome. You plan to stay in Krakow for 4 days.\n\nHere are the cities that have direct flights:\nSplit and Krakow, Rome and Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Split. You would like to visit Rome for 5 days. During day 1 and day 5, you have to attend a conference in Rome. You plan to stay in Krakow for 4 days.\n\nHere are the cities that have direct flights:\nfrom Split to Krakow, from Rome to Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Split.\n**Day 5-11:** Visit Split for 7 days.\n**Day 11:** Fly from Split to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_118",
    "estimated_output_tokens": 682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 7 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Split, Duration: 7 days.\n* City: Krakow, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Krakow] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Rome to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Rome, Split].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Split to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Rome, Split, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Split.\n**Day 5-11:** Visit Split for 7 days.\n**Day 11:** Fly from Split to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Split**Krakow",
    "ground_truth_durations": "6**3**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Krakow"
      ],
      [
        "Lyon",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You plan to stay in Split for 3 days. You want to spend 6 days in Krakow. You want to meet a friend in Krakow between day 8 and day 13.\n\nHere are the cities that have direct flights:\nSplit and Krakow, Lyon and Split.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 6 days. You plan to stay in Split for 3 days. You want to spend 6 days in Krakow. You want to meet a friend in Krakow between day 8 and day 13.\n\nHere are the cities that have direct flights:\nfrom Split to Krakow, from Lyon to Split.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.",
    "id": "trip_planning_example_119",
    "estimated_output_tokens": 757,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days.\n* City: Split, Duration: 3 days.\n* City: Krakow, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Lyon, Duration: 6 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Split] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 13).\n |- The departure day of Lyon is Day 6. The arrival day of Krakow is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n   |- Try arranging to visit Split from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Lyon to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 8 - 13).\n   |- The departure day of Split is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Split to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Lyon, Split, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Amsterdam**Seville",
    "ground_truth_durations": "3**5**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Berlin",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You want to meet a friend in Berlin between day 1 and day 3. You plan to stay in Seville for 4 days. You would like to visit Amsterdam for 5 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Seville, Berlin and Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You want to meet a friend in Berlin between day 1 and day 3. You plan to stay in Seville for 4 days. You would like to visit Amsterdam for 5 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Seville, from Berlin to Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Seville.\n**Day 7-10:** Visit Seville for 4 days.",
    "id": "trip_planning_example_120",
    "estimated_output_tokens": 726,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Seville, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Amsterdam to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Berlin, Amsterdam, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Seville.\n**Day 7-10:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Istanbul**Salzburg",
    "ground_truth_durations": "2**3**5",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Vienna",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to visit Salzburg for 5 days. You would like to visit Vienna for 2 days. You are going to attend a wedding in Vienna between day 1 and day 2.\n\nHere are the cities that have direct flights:\nIstanbul and Salzburg, Vienna and Istanbul.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to visit Salzburg for 5 days. You would like to visit Vienna for 2 days. You are going to attend a wedding in Vienna between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Salzburg, from Vienna to Istanbul.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Salzburg.\n**Day 4-8:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_121",
    "estimated_output_tokens": 682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vienna, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Istanbul, Salzburg].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Salzburg.\n**Day 4-8:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Naples**Santorini",
    "ground_truth_durations": "7**2**5",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Naples",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 8 and day 12. You want to spend 7 days in Lisbon. You want to spend 2 days in Naples.\n\nHere are the cities that have direct flights:\nLisbon and Naples, Naples and Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 8 and day 12. You want to spend 7 days in Lisbon. You want to spend 2 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Naples, from Naples to Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-7:** Arriving in Lisbon and visit Lisbon for 7 days.\n**Day 7:** Fly from Lisbon to Naples.\n**Day 7-8:** Visit Naples for 2 days.\n**Day 8:** Fly from Naples to Santorini.\n**Day 8-12:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_122",
    "estimated_output_tokens": 775,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Lisbon, Duration: 7 days.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 7 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Naples] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 12).\n |- The departure day of Lisbon is Day 7. The arrival day of Santorini is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n   |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Lisbon to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 8 - 12).\n   |- The departure day of Naples is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lisbon, Naples].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Naples to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lisbon, Naples, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Lisbon and visit Lisbon for 7 days.\n**Day 7:** Fly from Lisbon to Naples.\n**Day 7-8:** Visit Naples for 2 days.\n**Day 8:** Fly from Naples to Santorini.\n**Day 8-12:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Stuttgart**Venice",
    "ground_truth_durations": "6**6**5",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Stuttgart. You want to spend 6 days in Budapest. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 11 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nBudapest and Stuttgart, Stuttgart and Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Stuttgart. You want to spend 6 days in Budapest. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 11 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Budapest to Stuttgart, from Stuttgart to Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-6:** Arriving in Budapest and visit Budapest for 6 days.\n**Day 6:** Fly from Budapest to Stuttgart.\n**Day 6-11:** Visit Stuttgart for 6 days.\n**Day 11:** Fly from Stuttgart to Venice.\n**Day 11-15:** Visit Venice for 5 days.",
    "id": "trip_planning_example_123",
    "estimated_output_tokens": 996,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 6 days.\n* City: Budapest, Duration: 6 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 6 days.\n* City: Budapest, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Budapest] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 15).\n |- The departure day of Stuttgart is Day 6. The arrival day of Venice is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Stuttgart to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 15).\n |- The departure day of Budapest is Day 6. The arrival day of Venice is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Budapest to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 11 - 15).\n   |- The departure day of Stuttgart is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Budapest, Stuttgart].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Stuttgart to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Budapest, Stuttgart, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Budapest and visit Budapest for 6 days.\n**Day 6:** Fly from Budapest to Stuttgart.\n**Day 6-11:** Visit Stuttgart for 6 days.\n**Day 11:** Fly from Stuttgart to Venice.\n**Day 11-15:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**London**Florence",
    "ground_truth_durations": "3**3**4",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Florence"
      ],
      [
        "Manchester",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Manchester. You want to spend 4 days in Florence. From day 5 to day 8, there is a annual show you want to attend in Florence. You want to spend 3 days in London.\n\nHere are the cities that have direct flights:\nLondon and Florence, Manchester and London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Manchester. You want to spend 4 days in Florence. From day 5 to day 8, there is a annual show you want to attend in Florence. You want to spend 3 days in London.\n\nHere are the cities that have direct flights:\nfrom London to Florence, from Manchester to London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Florence.\n**Day 5-8:** Visit Florence for 4 days.",
    "id": "trip_planning_example_124",
    "estimated_output_tokens": 741,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, London] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 8).\n |- The departure day of Manchester is Day 3. The arrival day of Florence is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 5 - 8).\n   |- The departure day of London is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from London to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, London, Florence].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Manchester**Seville",
    "ground_truth_durations": "6**4**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Seville"
      ],
      [
        "Stuttgart",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You want to meet a friend in Stuttgart between day 1 and day 6. You would like to visit Seville for 7 days. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nManchester and Seville, Stuttgart and Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You want to meet a friend in Stuttgart between day 1 and day 6. You would like to visit Seville for 7 days. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Seville, from Stuttgart to Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Seville.\n**Day 9-15:** Visit Seville for 7 days.",
    "id": "trip_planning_example_125",
    "estimated_output_tokens": 729,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Seville, Duration: 7 days.\n* City: Manchester, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Seville, Duration: 7 days.\n* City: Manchester, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Manchester] and explore these options in order.\n   |- Try arranging to visit Seville from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Stuttgart to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Stuttgart to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Stuttgart, Manchester].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Manchester to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Stuttgart, Manchester, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Seville.\n**Day 9-15:** Visit Seville for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Paris**Seville",
    "ground_truth_durations": "5**2**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Paris"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Seville. You want to spend 2 days in Paris. You plan to stay in Krakow for 5 days. You have to attend a workshop in Krakow between day 1 and day 5.\n\nHere are the cities that have direct flights:\nKrakow and Paris, Paris and Seville.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Seville. You want to spend 2 days in Paris. You plan to stay in Krakow for 5 days. You have to attend a workshop in Krakow between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Krakow to Paris, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Seville.\n**Day 6-11:** Visit Seville for 6 days.",
    "id": "trip_planning_example_126",
    "estimated_output_tokens": 742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 6 days.\n* City: Paris, Duration: 2 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Seville, Duration: 6 days.\n* City: Paris, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Paris] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Krakow to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Paris, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Seville.\n**Day 6-11:** Visit Seville for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Warsaw**Stuttgart",
    "ground_truth_durations": "2**2**3",
    "num_cities": 3,
    "total_days": 5,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You would like to meet your friends at Bucharest between day 1 and day 2 to tour together. You want to spend 3 days in Stuttgart. You want to spend 2 days in Warsaw.\n\nHere are the cities that have direct flights:\nWarsaw and Stuttgart, Bucharest and Warsaw.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You would like to meet your friends at Bucharest between day 1 and day 2 to tour together. You want to spend 3 days in Stuttgart. You want to spend 2 days in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Stuttgart, from Bucharest to Warsaw.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 5 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Warsaw.\n**Day 2-3:** Visit Warsaw for 2 days.\n**Day 3:** Fly from Warsaw to Stuttgart.\n**Day 3-5:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_127",
    "estimated_output_tokens": 733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stuttgart, Duration: 3 days.\n* City: Warsaw, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Warsaw, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Warsaw] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Warsaw].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Warsaw to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Warsaw, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Warsaw.\n**Day 2-3:** Visit Warsaw for 2 days.\n**Day 3:** Fly from Warsaw to Stuttgart.\n**Day 3-5:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Porto**Valencia",
    "ground_truth_durations": "2**5**4",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Porto"
      ],
      [
        "Porto",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 4 days. You would like to meet your friends at Valencia between day 6 and day 9 to tour together. You would like to visit Nice for 2 days. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nNice and Porto, Porto and Valencia.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 4 days. You would like to meet your friends at Valencia between day 6 and day 9 to tour together. You would like to visit Nice for 2 days. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Porto, from Porto to Valencia.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Porto.\n**Day 2-6:** Visit Porto for 5 days.\n**Day 6:** Fly from Porto to Valencia.\n**Day 6-9:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_128",
    "estimated_output_tokens": 742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Nice, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Porto] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 6 - 9).\n |- The departure day of Nice is Day 2. The arrival day of Valencia is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 6 - 9).\n   |- The departure day of Porto is Day 6. The arrival day of Valencia is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Porto to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Porto, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Porto.\n**Day 2-6:** Visit Porto for 5 days.\n**Day 6:** Fly from Porto to Valencia.\n**Day 6-9:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Santorini**Bucharest",
    "ground_truth_durations": "4**4**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You want to spend 4 days in Santorini. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nSantorini and Bucharest, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You want to spend 4 days in Santorini. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Bucharest, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-7:** Visit Santorini for 4 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_129",
    "estimated_output_tokens": 1456,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Stockholm] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Bucharest to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Santorini to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stockholm, Santorini, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-7:** Visit Santorini for 4 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Paris**Vilnius",
    "ground_truth_durations": "6**2**6",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You would like to visit Prague for 6 days. From day 1 to day 6, there is a annual show you want to attend in Prague. You would like to visit Vilnius for 6 days.\n\nHere are the cities that have direct flights:\nPrague and Paris, Paris and Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You would like to visit Prague for 6 days. From day 1 to day 6, there is a annual show you want to attend in Prague. You would like to visit Vilnius for 6 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Paris, from Paris to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Vilnius.\n**Day 7-12:** Visit Vilnius for 6 days.",
    "id": "trip_planning_example_130",
    "estimated_output_tokens": 691,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days.\n* City: Prague, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Vilnius, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Vilnius, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Vilnius] and explore these options in order.\n   |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Prague to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Paris to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Paris, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Vilnius.\n**Day 7-12:** Visit Vilnius for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Zurich**Venice",
    "ground_truth_durations": "3**5**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Zurich"
      ],
      [
        "Zurich",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 1 and day 3. You plan to stay in Venice for 7 days. You would like to visit Zurich for 5 days.\n\nHere are the cities that have direct flights:\nPorto and Zurich, Zurich and Venice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 1 and day 3. You plan to stay in Venice for 7 days. You would like to visit Zurich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Zurich, from Zurich to Venice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Zurich.\n**Day 3-7:** Visit Zurich for 5 days.\n**Day 7:** Fly from Zurich to Venice.\n**Day 7-13:** Visit Venice for 7 days.",
    "id": "trip_planning_example_131",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Venice, Duration: 7 days.\n* City: Zurich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Venice, Duration: 7 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Zurich] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Porto to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Zurich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Porto, Zurich, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Zurich.\n**Day 3-7:** Visit Zurich for 5 days.\n**Day 7:** Fly from Zurich to Venice.\n**Day 7-13:** Visit Venice for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Milan**Stuttgart",
    "ground_truth_durations": "7**6**5",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Milan"
      ],
      [
        "Milan",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 6 days. You would like to visit Santorini for 7 days. You want to spend 5 days in Stuttgart. You want to meet a friend in Stuttgart between day 12 and day 16.\n\nHere are the cities that have direct flights:\nSantorini and Milan, Milan and Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 6 days. You would like to visit Santorini for 7 days. You want to spend 5 days in Stuttgart. You want to meet a friend in Stuttgart between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Santorini to Milan, from Milan to Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Santorini and visit Santorini for 7 days.\n**Day 7:** Fly from Santorini to Milan.\n**Day 7-12:** Visit Milan for 6 days.\n**Day 12:** Fly from Milan to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_132",
    "estimated_output_tokens": 1020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 6 days.\n* City: Santorini, Duration: 7 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Milan, Duration: 6 days.\n* City: Santorini, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Santorini] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 12 - 16).\n |- The departure day of Milan is Day 6. The arrival day of Stuttgart is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Milan to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 12 - 16).\n |- The departure day of Santorini is Day 7. The arrival day of Stuttgart is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Santorini to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 12 - 16).\n   |- The departure day of Milan is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Santorini, Milan].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Milan to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Santorini, Milan, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Santorini and visit Santorini for 7 days.\n**Day 7:** Fly from Santorini to Milan.\n**Day 7-12:** Visit Milan for 6 days.\n**Day 12:** Fly from Milan to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Munich**Bucharest",
    "ground_truth_durations": "6**6**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Munich"
      ],
      [
        "Munich",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Nice. You are going to attend a wedding in Nice between day 1 and day 6. You plan to stay in Bucharest for 4 days. You plan to stay in Munich for 6 days.\n\nHere are the cities that have direct flights:\nNice and Munich, Munich and Bucharest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Nice. You are going to attend a wedding in Nice between day 1 and day 6. You plan to stay in Bucharest for 4 days. You plan to stay in Munich for 6 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Munich, from Munich to Bucharest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Munich.\n**Day 6-11:** Visit Munich for 6 days.\n**Day 11:** Fly from Munich to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_133",
    "estimated_output_tokens": 728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Bucharest, Duration: 4 days.\n* City: Munich, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Munich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Nice to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Nice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Nice, Munich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Munich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Nice, Munich, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Munich.\n**Day 6-11:** Visit Munich for 6 days.\n**Day 11:** Fly from Munich to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Copenhagen**Porto",
    "ground_truth_durations": "2**4**2",
    "num_cities": 3,
    "total_days": 6,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 4 days in Copenhagen. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 1 and day 2.\n\nHere are the cities that have direct flights:\nSantorini and Copenhagen, Copenhagen and Porto.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 4 days in Copenhagen. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Santorini to Copenhagen, from Copenhagen to Porto.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 6 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Copenhagen.\n**Day 2-5:** Visit Copenhagen for 4 days.\n**Day 5:** Fly from Copenhagen to Porto.\n**Day 5-6:** Visit Porto for 2 days.",
    "id": "trip_planning_example_134",
    "estimated_output_tokens": 743,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Santorini, Copenhagen, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Copenhagen.\n**Day 2-5:** Visit Copenhagen for 4 days.\n**Day 5:** Fly from Copenhagen to Porto.\n**Day 5-6:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Hamburg**Venice",
    "ground_truth_durations": "4**5**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Riga",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You plan to stay in Hamburg for 5 days. You would like to visit Venice for 6 days.\n\nHere are the cities that have direct flights:\nHamburg and Venice, from Riga to Hamburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You plan to stay in Hamburg for 5 days. You would like to visit Venice for 6 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Venice, from Riga to Hamburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Venice.\n**Day 8-13:** Visit Venice for 6 days.",
    "id": "trip_planning_example_135",
    "estimated_output_tokens": 671,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Venice, Duration: 6 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Venice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Hamburg, Venice] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Venice] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Riga, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Riga, Hamburg, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Venice.\n**Day 8-13:** Visit Venice for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Istanbul**Vilnius",
    "ground_truth_durations": "5**6**3",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Istanbul. You would like to visit Vilnius for 3 days. You would like to visit Hamburg for 5 days. You have to attend a workshop in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nIstanbul and Vilnius, Hamburg and Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Istanbul. You would like to visit Vilnius for 3 days. You would like to visit Hamburg for 5 days. You have to attend a workshop in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Vilnius, from Hamburg to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_136",
    "estimated_output_tokens": 692,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 6 days.\n* City: Vilnius, Duration: 3 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 6 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Hamburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Hamburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Hamburg, Istanbul, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Frankfurt**Lyon",
    "ground_truth_durations": "2**4**2",
    "num_cities": 3,
    "total_days": 6,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You want to spend 4 days in Frankfurt. You plan to stay in Lyon for 2 days. During day 5 and day 6, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nFrankfurt and Lyon, Dubrovnik and Frankfurt.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 6 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You want to spend 4 days in Frankfurt. You plan to stay in Lyon for 2 days. During day 5 and day 6, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Lyon, from Dubrovnik to Frankfurt.\n\nFind a trip plan of visiting the cities for 6 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 6 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Frankfurt.\n**Day 2-5:** Visit Frankfurt for 4 days.\n**Day 5:** Fly from Frankfurt to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_137",
    "estimated_output_tokens": 768,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 6).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Lyon is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 5 - 6).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Frankfurt, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Frankfurt.\n**Day 2-5:** Visit Frankfurt for 4 days.\n**Day 5:** Fly from Frankfurt to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Athens**Santorini",
    "ground_truth_durations": "7**5**7",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Santorini"
      ],
      [
        "Hamburg",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 7 days. You plan to stay in Athens for 5 days. You want to spend 7 days in Hamburg. During day 1 and day 7, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nAthens and Santorini, Hamburg and Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 7 days. You plan to stay in Athens for 5 days. You want to spend 7 days in Hamburg. During day 1 and day 7, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Athens to Santorini, from Hamburg to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Santorini.\n**Day 11-17:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_138",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 7 days.\n* City: Athens, Duration: 5 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Santorini, Duration: 7 days.\n* City: Athens, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Athens] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Hamburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Hamburg to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Hamburg, Athens].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Hamburg, Athens, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Santorini.\n**Day 11-17:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Valencia**Stuttgart",
    "ground_truth_durations": "5**5**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 5 days. You plan to stay in Stuttgart for 7 days. You are going to attend a wedding in Stuttgart between day 9 and day 15. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nBucharest and Valencia, Valencia and Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 5 days. You plan to stay in Stuttgart for 7 days. You are going to attend a wedding in Stuttgart between day 9 and day 15. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Valencia, from Valencia to Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_139",
    "estimated_output_tokens": 759,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Valencia] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 9 - 15).\n |- The departure day of Bucharest is Day 5. The arrival day of Stuttgart is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 9 - 15).\n   |- The departure day of Valencia is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Bucharest, Valencia].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Valencia to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Bucharest, Valencia, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Lisbon**Bucharest",
    "ground_truth_durations": "6**3**5",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Venice",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 8 and day 12. You plan to stay in Venice for 6 days.\n\nHere are the cities that have direct flights:\nLisbon and Bucharest, Venice and Lisbon.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 8 and day 12. You plan to stay in Venice for 6 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Bucharest, from Venice to Lisbon.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Lisbon.\n**Day 6-8:** Visit Lisbon for 3 days.\n**Day 8:** Fly from Lisbon to Bucharest.\n**Day 8-12:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_140",
    "estimated_output_tokens": 1009,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Venice, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Venice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Venice] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 8 - 12).\n |- The departure day of Lisbon is Day 3. The arrival day of Bucharest is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Lisbon to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 8 - 12).\n |- The departure day of Venice is Day 6. The arrival day of Bucharest is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Venice to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 8 - 12).\n   |- The departure day of Lisbon is Day 8. The arrival day of Bucharest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Lisbon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Lisbon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Venice, Lisbon, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Lisbon.\n**Day 6-8:** Visit Lisbon for 3 days.\n**Day 8:** Fly from Lisbon to Bucharest.\n**Day 8-12:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Nice**Mykonos",
    "ground_truth_durations": "3**6**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Barcelona",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You want to spend 4 days in Mykonos. You plan to visit relatives in Mykonos between day 8 and day 11. You would like to visit Nice for 6 days.\n\nHere are the cities that have direct flights:\nNice and Mykonos, Barcelona and Nice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You want to spend 4 days in Mykonos. You plan to visit relatives in Mykonos between day 8 and day 11. You would like to visit Nice for 6 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Mykonos, from Barcelona to Nice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Nice.\n**Day 3-8:** Visit Nice for 6 days.\n**Day 8:** Fly from Nice to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_141",
    "estimated_output_tokens": 769,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Nice, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 3 days.\n* City: Nice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Nice] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 8 - 11).\n |- The departure day of Barcelona is Day 3. The arrival day of Mykonos is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Barcelona to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 8 - 11).\n   |- The departure day of Nice is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Barcelona, Nice, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Nice.\n**Day 3-8:** Visit Nice for 6 days.\n**Day 8:** Fly from Nice to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Dublin**Tallinn",
    "ground_truth_durations": "4**3**2",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 6,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Dublin",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. You would like to visit Dublin for 3 days. You want to spend 2 days in Tallinn. You have to attend a workshop in Tallinn between day 6 and day 7.\n\nHere are the cities that have direct flights:\nMadrid and Dublin, Dublin and Tallinn.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. You would like to visit Dublin for 3 days. You want to spend 2 days in Tallinn. You have to attend a workshop in Tallinn between day 6 and day 7.\n\nHere are the cities that have direct flights:\nfrom Madrid to Dublin, from Dublin to Tallinn.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Dublin.\n**Day 4-6:** Visit Dublin for 3 days.\n**Day 6:** Fly from Dublin to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_142",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 6 - 7.\n\nCities needing arrangement:\n* City: Madrid, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Dublin] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Madrid is Day 4. The arrival day of Tallinn is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 7).\n   |- The departure day of Dublin is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Dublin, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Dublin.\n**Day 4-6:** Visit Dublin for 3 days.\n**Day 6:** Fly from Dublin to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Oslo**Riga",
    "ground_truth_durations": "7**7**7",
    "num_cities": 3,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Riga"
      ],
      [
        "Krakow",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 7 days. You would like to visit Krakow for 7 days. You have to attend a workshop in Krakow between day 1 and day 7. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nOslo and Riga, Krakow and Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 7 days. You would like to visit Krakow for 7 days. You have to attend a workshop in Krakow between day 1 and day 7. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Oslo to Riga, from Krakow to Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 19 days:\n\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Oslo.\n**Day 7-13:** Visit Oslo for 7 days.\n**Day 13:** Fly from Oslo to Riga.\n**Day 13-19:** Visit Riga for 7 days.",
    "id": "trip_planning_example_143",
    "estimated_output_tokens": 742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 7 days.\n* City: Krakow, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Oslo, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Riga, Duration: 7 days.\n* City: Oslo, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Oslo] and explore these options in order.\n   |- Try arranging to visit Riga from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Krakow to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Krakow, Oslo].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n     |- Check for direct flight from Oslo to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 19. Current plan: [Krakow, Oslo, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Oslo.\n**Day 7-13:** Visit Oslo for 7 days.\n**Day 13:** Fly from Oslo to Riga.\n**Day 13-19:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Prague**Valencia",
    "ground_truth_durations": "4**2**6",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 6 days. You want to spend 2 days in Prague. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 1 and day 4.\n\nHere are the cities that have direct flights:\nOslo and Prague, Prague and Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 6 days. You want to spend 2 days in Prague. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Oslo to Prague, from Prague to Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to Valencia.\n**Day 5-10:** Visit Valencia for 6 days.",
    "id": "trip_planning_example_144",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 6 days.\n* City: Prague, Duration: 2 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Valencia, Duration: 6 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Prague] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Oslo to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Prague to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Oslo, Prague, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to Valencia.\n**Day 5-10:** Visit Valencia for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Brussels**Valencia",
    "ground_truth_durations": "4**4**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Venice",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You want to spend 4 days in Valencia. You are going to attend a wedding in Valencia between day 7 and day 10. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nBrussels and Valencia, Venice and Brussels.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You want to spend 4 days in Valencia. You are going to attend a wedding in Valencia between day 7 and day 10. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Valencia, from Venice to Brussels.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_145",
    "estimated_output_tokens": 992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Venice] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 10).\n |- The departure day of Brussels is Day 4. The arrival day of Valencia is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Brussels to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 10).\n |- The departure day of Venice is Day 4. The arrival day of Valencia is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 7 - 10).\n   |- The departure day of Brussels is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Brussels to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Brussels, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Madrid**Valencia",
    "ground_truth_durations": "6**6**4",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Madrid"
      ],
      [
        "Madrid",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. You plan to stay in Florence for 6 days. You plan to visit relatives in Florence between day 1 and day 6. You want to spend 6 days in Madrid.\n\nHere are the cities that have direct flights:\nFlorence and Madrid, Madrid and Valencia.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. You plan to stay in Florence for 6 days. You plan to visit relatives in Florence between day 1 and day 6. You want to spend 6 days in Madrid.\n\nHere are the cities that have direct flights:\nfrom Florence to Madrid, from Madrid to Valencia.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-6:** Arriving in Florence and visit Florence for 6 days.\n**Day 6:** Fly from Florence to Madrid.\n**Day 6-11:** Visit Madrid for 6 days.\n**Day 11:** Fly from Madrid to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_146",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Madrid, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Madrid, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Madrid] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Madrid to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Florence, Madrid, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Florence and visit Florence for 6 days.\n**Day 6:** Fly from Florence to Madrid.\n**Day 6-11:** Visit Madrid for 6 days.\n**Day 11:** Fly from Madrid to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Paris**Lyon",
    "ground_truth_durations": "7**7**3",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 7 days. You would like to visit Hamburg for 7 days. You would like to meet your friends at Hamburg between day 1 and day 7 to tour together. You would like to visit Lyon for 3 days.\n\nHere are the cities that have direct flights:\nHamburg and Paris, Paris and Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 7 days. You would like to visit Hamburg for 7 days. You would like to meet your friends at Hamburg between day 1 and day 7 to tour together. You would like to visit Lyon for 3 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Paris, from Paris to Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Paris.\n**Day 7-13:** Visit Paris for 7 days.\n**Day 13:** Fly from Paris to Lyon.\n**Day 13-15:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_147",
    "estimated_output_tokens": 673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 7 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Paris, Duration: 7 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Lyon] and explore these options in order.\n   |- Try arranging to visit Paris from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Hamburg to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Hamburg, Paris].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Paris to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Hamburg, Paris, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Paris.\n**Day 7-13:** Visit Paris for 7 days.\n**Day 13:** Fly from Paris to Lyon.\n**Day 13-15:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Munich**Dubrovnik",
    "ground_truth_durations": "5**5**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 9 and day 13. You would like to visit Edinburgh for 5 days. You plan to stay in Munich for 5 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Munich, Munich and Dubrovnik.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 9 and day 13. You would like to visit Edinburgh for 5 days. You plan to stay in Munich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Munich, from Munich to Dubrovnik.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_148",
    "estimated_output_tokens": 771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Munich] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 9 - 13).\n |- The departure day of Edinburgh is Day 5. The arrival day of Dubrovnik is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 9 - 13).\n   |- The departure day of Munich is Day 9. The arrival day of Dubrovnik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Munich, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**London**Santorini",
    "ground_truth_durations": "3**3**6",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "London"
      ],
      [
        "London",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in London for 3 days. You would like to visit Santorini for 6 days. During day 5 and day 10, you have to attend a conference in Santorini. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and London, London and Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in London for 3 days. You would like to visit Santorini for 6 days. During day 5 and day 10, you have to attend a conference in Santorini. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to London, from London to Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Santorini.\n**Day 5-10:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_149",
    "estimated_output_tokens": 1017,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Istanbul] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 10).\n |- The departure day of London is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 10).\n |- The departure day of Istanbul is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Istanbul to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 5 - 10).\n   |- The departure day of London is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, London, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Santorini.\n**Day 5-10:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Zurich**Tallinn",
    "ground_truth_durations": "2**6**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Split",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 7 days. You would like to visit Zurich for 6 days. You would like to visit Split for 2 days. During day 1 and day 2, you have to attend a conference in Split.\n\nHere are the cities that have direct flights:\nZurich and Tallinn, Split and Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 7 days. You would like to visit Zurich for 6 days. You would like to visit Split for 2 days. During day 1 and day 2, you have to attend a conference in Split.\n\nHere are the cities that have direct flights:\nfrom Zurich to Tallinn, from Split to Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Zurich.\n**Day 2-7:** Visit Zurich for 6 days.\n**Day 7:** Fly from Zurich to Tallinn.\n**Day 7-13:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_150",
    "estimated_output_tokens": 728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 7 days.\n* City: Zurich, Duration: 6 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 7 days.\n* City: Zurich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Split to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Split to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Split, Zurich, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Zurich.\n**Day 2-7:** Visit Zurich for 6 days.\n**Day 7:** Fly from Zurich to Tallinn.\n**Day 7-13:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Reykjavik**Athens",
    "ground_truth_durations": "2**2**6",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "London",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "London",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. During day 1 and day 2, you have to attend a conference in London. You would like to visit Reykjavik for 2 days. You want to spend 6 days in Athens.\n\nHere are the cities that have direct flights:\nLondon and Reykjavik, from Reykjavik to Athens, London and Athens.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. During day 1 and day 2, you have to attend a conference in London. You would like to visit Reykjavik for 2 days. You want to spend 6 days in Athens.\n\nHere are the cities that have direct flights:\nfrom London to Reykjavik, from Reykjavik to Athens, from London to Athens.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Reykjavik.\n**Day 2-3:** Visit Reykjavik for 2 days.\n**Day 3:** Fly from Reykjavik to Athens.\n**Day 3-8:** Visit Athens for 6 days.",
    "id": "trip_planning_example_151",
    "estimated_output_tokens": 703,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 2 days.\n* City: Athens, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Athens, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Athens] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n     |- Try arranging to visit Athens from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Reykjavik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Reykjavik, Athens].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Reykjavik.\n**Day 2-3:** Visit Reykjavik for 2 days.\n**Day 3:** Fly from Reykjavik to Athens.\n**Day 3-8:** Visit Athens for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vienna**Venice",
    "ground_truth_durations": "7**3**3",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 9 and day 11. You plan to stay in Riga for 7 days. You plan to stay in Vienna for 3 days.\n\nHere are the cities that have direct flights:\nRiga and Vienna, Vienna and Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 9 and day 11. You plan to stay in Riga for 7 days. You plan to stay in Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vienna, from Vienna to Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Venice.\n**Day 9-11:** Visit Venice for 3 days.",
    "id": "trip_planning_example_152",
    "estimated_output_tokens": 755,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Riga, Duration: 7 days.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Riga, Duration: 7 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Vienna] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 9 - 11).\n |- The departure day of Riga is Day 7. The arrival day of Venice is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Riga to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 9 - 11).\n   |- The departure day of Vienna is Day 9. The arrival day of Venice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Riga, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Vienna to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Vienna, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Venice.\n**Day 9-11:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Prague**Reykjavik",
    "ground_truth_durations": "4**3**3",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 1 and day 4. You would like to visit Prague for 3 days.\n\nHere are the cities that have direct flights:\nPrague and Reykjavik, Bucharest and Prague.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 1 and day 4. You would like to visit Prague for 3 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Reykjavik, from Bucharest to Prague.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_153",
    "estimated_output_tokens": 764,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Prague, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Prague] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Prague, Reykjavik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Paris**Vilnius",
    "ground_truth_durations": "6**7**2",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Nice",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 12 and day 13. You would like to visit Nice for 6 days. You would like to visit Paris for 7 days.\n\nHere are the cities that have direct flights:\nParis and Vilnius, Nice and Paris.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 12 and day 13. You would like to visit Nice for 6 days. You would like to visit Paris for 7 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Vilnius, from Nice to Paris.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Paris.\n**Day 6-12:** Visit Paris for 7 days.\n**Day 12:** Fly from Paris to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_154",
    "estimated_output_tokens": 765,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Nice, Duration: 6 days.\n* City: Paris, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Nice, Duration: 6 days.\n* City: Paris, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Paris] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 12 - 13).\n |- The departure day of Nice is Day 6. The arrival day of Vilnius is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n   |- Try arranging to visit Paris from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Nice to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 12 - 13).\n   |- The departure day of Paris is Day 12. The arrival day of Vilnius is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Nice, Paris].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Paris to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Nice, Paris, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Paris.\n**Day 6-12:** Visit Paris for 7 days.\n**Day 12:** Fly from Paris to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Krakow",
    "ground_truth_durations": "4**7**4",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You plan to stay in Stuttgart for 7 days. You would like to visit Krakow for 4 days.\n\nHere are the cities that have direct flights:\nStuttgart and Krakow, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You plan to stay in Stuttgart for 7 days. You would like to visit Krakow for 4 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Krakow, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-10:** Visit Stuttgart for 7 days.\n**Day 10:** Fly from Stuttgart to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_155",
    "estimated_output_tokens": 705,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Krakow, Duration: 4 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Krakow, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Stuttgart, Krakow] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Krakow] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Stuttgart to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-10:** Visit Stuttgart for 7 days.\n**Day 10:** Fly from Stuttgart to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Milan**Seville",
    "ground_truth_durations": "3**5**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Milan",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You want to spend 5 days in Milan. You would like to visit Seville for 4 days. You have to attend a workshop in Seville between day 7 and day 10.\n\nHere are the cities that have direct flights:\nIstanbul and Milan, Milan and Seville.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You want to spend 5 days in Milan. You would like to visit Seville for 4 days. You have to attend a workshop in Seville between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Milan, from Milan to Seville.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-10:** Visit Seville for 4 days.",
    "id": "trip_planning_example_156",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Milan] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 7 - 10).\n |- The departure day of Istanbul is Day 3. The arrival day of Seville is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 7 - 10).\n   |- The departure day of Milan is Day 7. The arrival day of Seville is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Milan, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-10:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Madrid**Bucharest",
    "ground_truth_durations": "7**3**2",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Madrid",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Edinburgh. You would like to visit Bucharest for 2 days. You have to attend a workshop in Bucharest between day 9 and day 10. You plan to stay in Madrid for 3 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Madrid, Madrid and Bucharest.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Edinburgh. You would like to visit Bucharest for 2 days. You have to attend a workshop in Bucharest between day 9 and day 10. You plan to stay in Madrid for 3 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Madrid, from Madrid to Bucharest.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Bucharest.\n**Day 9-10:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_157",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 7 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 7 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Madrid] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 9 - 10).\n |- The departure day of Edinburgh is Day 7. The arrival day of Bucharest is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Edinburgh to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 9 - 10).\n   |- The departure day of Madrid is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Madrid].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Madrid to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Edinburgh, Madrid, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Bucharest.\n**Day 9-10:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Riga**Munich",
    "ground_truth_durations": "5**7**7",
    "num_cities": 3,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Riga"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Oslo",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. During day 1 and day 5, you have to attend a conference in Oslo. You plan to stay in Munich for 7 days. You want to spend 7 days in Riga.\n\nHere are the cities that have direct flights:\nOslo and Riga, from Riga to Munich, Oslo and Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. During day 1 and day 5, you have to attend a conference in Oslo. You plan to stay in Munich for 7 days. You want to spend 7 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Oslo to Riga, from Riga to Munich, from Oslo to Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 17 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Riga.\n**Day 5-11:** Visit Riga for 7 days.\n**Day 11:** Fly from Riga to Munich.\n**Day 11-17:** Visit Munich for 7 days.",
    "id": "trip_planning_example_158",
    "estimated_output_tokens": 905,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 7 days.\n* City: Riga, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Munich, Duration: 7 days.\n* City: Riga, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Riga] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Oslo to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Oslo, Munich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Munich to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Oslo to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Oslo, Riga].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n     |- Try arranging to visit Munich from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Riga to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Oslo, Riga, Munich].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Riga.\n**Day 5-11:** Visit Riga for 7 days.\n**Day 11:** Fly from Riga to Munich.\n**Day 11-17:** Visit Munich for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Rome**Lyon",
    "ground_truth_durations": "7**5**3",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Rome"
      ],
      [
        "Rome",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Rome. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 11 and day 13. You want to spend 7 days in Edinburgh.\n\nHere are the cities that have direct flights:\nEdinburgh and Rome, Rome and Lyon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Rome. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 11 and day 13. You want to spend 7 days in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Rome, from Rome to Lyon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_159",
    "estimated_output_tokens": 992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 5 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Edinburgh, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: Edinburgh, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Edinburgh] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 13).\n |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Rome to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 13).\n |- The departure day of Edinburgh is Day 7. The arrival day of Lyon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n   |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Edinburgh to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 11 - 13).\n   |- The departure day of Rome is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Edinburgh, Rome].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Rome to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Rome, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Valencia**Stuttgart",
    "ground_truth_durations": "2**4**3",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 5 and day 7. You plan to stay in Brussels for 2 days. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nBrussels and Valencia, Valencia and Stuttgart.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 5 and day 7. You plan to stay in Brussels for 2 days. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Valencia, from Valencia to Stuttgart.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Valencia.\n**Day 2-5:** Visit Valencia for 4 days.\n**Day 5:** Fly from Valencia to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_160",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Brussels, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Valencia] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 7).\n |- The departure day of Brussels is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 5 - 7).\n   |- The departure day of Valencia is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Valencia, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Valencia.\n**Day 2-5:** Visit Valencia for 4 days.\n**Day 5:** Fly from Valencia to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Naples**Mykonos",
    "ground_truth_durations": "7**2**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Naples"
      ],
      [
        "Naples",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. You plan to stay in Mykonos for 6 days. You want to meet a friend in Mykonos between day 8 and day 13. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Naples, Naples and Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. You plan to stay in Mykonos for 6 days. You want to meet a friend in Mykonos between day 8 and day 13. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Naples, from Naples to Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-8:** Visit Naples for 2 days.\n**Day 8:** Fly from Naples to Mykonos.\n**Day 8-13:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_161",
    "estimated_output_tokens": 771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days.\n* City: Mykonos, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 7 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Naples] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 8 - 13).\n |- The departure day of Venice is Day 7. The arrival day of Mykonos is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n   |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 8 - 13).\n   |- The departure day of Naples is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Naples].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Naples to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Venice, Naples, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-8:** Visit Naples for 2 days.\n**Day 8:** Fly from Naples to Mykonos.\n**Day 8-13:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Oslo**Split",
    "ground_truth_durations": "2**7**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Oslo",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Split. You would like to visit Oslo for 7 days. You would like to visit Edinburgh for 2 days. You have to attend a workshop in Edinburgh between day 1 and day 2.\n\nHere are the cities that have direct flights:\nEdinburgh and Oslo, Oslo and Split.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Split. You would like to visit Oslo for 7 days. You would like to visit Edinburgh for 2 days. You have to attend a workshop in Edinburgh between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Oslo, from Oslo to Split.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Oslo.\n**Day 2-8:** Visit Oslo for 7 days.\n**Day 8:** Fly from Oslo to Split.\n**Day 8-11:** Visit Split for 4 days.",
    "id": "trip_planning_example_162",
    "estimated_output_tokens": 718,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days.\n* City: Oslo, Duration: 7 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Split, Duration: 4 days.\n* City: Oslo, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Oslo] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Edinburgh to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Oslo to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Oslo, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Oslo.\n**Day 2-8:** Visit Oslo for 7 days.\n**Day 8:** Fly from Oslo to Split.\n**Day 8-11:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Munich**Krakow",
    "ground_truth_durations": "6**3**2",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You would like to visit Munich for 3 days. You plan to stay in Dubrovnik for 6 days. From day 1 to day 6, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nMunich and Krakow, Dubrovnik and Munich.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You would like to visit Munich for 3 days. You plan to stay in Dubrovnik for 6 days. From day 1 to day 6, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Munich to Krakow, from Dubrovnik to Munich.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_163",
    "estimated_output_tokens": 754,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Munich, Duration: 3 days.\n* City: Dubrovnik, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Munich] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Dubrovnik to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Dubrovnik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Munich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Munich, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Berlin**Valencia",
    "ground_truth_durations": "6**6**3",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Oslo",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 11 and day 13 to tour together. You plan to stay in Berlin for 6 days.\n\nHere are the cities that have direct flights:\nBerlin and Valencia, Oslo and Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 11 and day 13 to tour together. You plan to stay in Berlin for 6 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Valencia, from Oslo to Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Oslo and visit Oslo for 6 days.\n**Day 6:** Fly from Oslo to Berlin.\n**Day 6-11:** Visit Berlin for 6 days.\n**Day 11:** Fly from Berlin to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_164",
    "estimated_output_tokens": 745,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 6 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Berlin, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Berlin, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Berlin] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 11 - 13).\n |- The departure day of Oslo is Day 6. The arrival day of Valencia is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Oslo to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 11 - 13).\n   |- The departure day of Berlin is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Oslo, Berlin].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Berlin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Oslo, Berlin, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Oslo and visit Oslo for 6 days.\n**Day 6:** Fly from Oslo to Berlin.\n**Day 6-11:** Visit Berlin for 6 days.\n**Day 11:** Fly from Berlin to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**London**Stuttgart",
    "ground_truth_durations": "3**5**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "London",
        "Stuttgart"
      ],
      [
        "Nice",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Nice. You want to spend 5 days in London. You want to spend 2 days in Stuttgart. During day 7 and day 8, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nLondon and Stuttgart, Nice and London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Nice. You want to spend 5 days in London. You want to spend 2 days in Stuttgart. During day 7 and day 8, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom London to Stuttgart, from Nice to London.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_165",
    "estimated_output_tokens": 741,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Nice, Duration: 3 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, London] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 8).\n |- The departure day of Nice is Day 3. The arrival day of Stuttgart is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Nice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 7 - 8).\n   |- The departure day of London is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Nice, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from London to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, London, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Brussels**Lyon",
    "ground_truth_durations": "5**2**6",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Zurich",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Brussels. You plan to stay in Zurich for 5 days. You want to spend 6 days in Lyon. You plan to visit relatives in Lyon between day 6 and day 11.\n\nHere are the cities that have direct flights:\nBrussels and Lyon, Zurich and Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Brussels. You plan to stay in Zurich for 5 days. You want to spend 6 days in Lyon. You plan to visit relatives in Lyon between day 6 and day 11.\n\nHere are the cities that have direct flights:\nfrom Brussels to Lyon, from Zurich to Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Brussels.\n**Day 5-6:** Visit Brussels for 2 days.\n**Day 6:** Fly from Brussels to Lyon.\n**Day 6-11:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_166",
    "estimated_output_tokens": 996,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Zurich] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 6 - 11).\n |- The departure day of Brussels is Day 2. The arrival day of Lyon is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Brussels to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 6 - 11).\n |- The departure day of Zurich is Day 5. The arrival day of Lyon is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Zurich to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 6 - 11).\n   |- The departure day of Brussels is Day 6. The arrival day of Lyon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Brussels to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Zurich, Brussels, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Brussels.\n**Day 5-6:** Visit Brussels for 2 days.\n**Day 6:** Fly from Brussels to Lyon.\n**Day 6-11:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Geneva**Santorini",
    "ground_truth_durations": "4**5**3",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Geneva",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 4 days. You want to spend 3 days in Santorini. You want to spend 5 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Geneva, Geneva and Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 4 days. You want to spend 3 days in Santorini. You want to spend 5 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Geneva, from Geneva to Santorini.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Geneva.\n**Day 4-8:** Visit Geneva for 5 days.\n**Day 8:** Fly from Geneva to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_167",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Santorini, Geneva] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Hamburg to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Geneva to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Geneva, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Geneva.\n**Day 4-8:** Visit Geneva for 5 days.\n**Day 8:** Fly from Geneva to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Riga**Tallinn",
    "ground_truth_durations": "6**7**2",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Prague",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 6 days. You would like to meet your friends at Prague between day 1 and day 6 to tour together. You want to spend 7 days in Riga. You plan to stay in Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nPrague and Tallinn, from Riga to Tallinn, Prague and Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 6 days. You would like to meet your friends at Prague between day 1 and day 6 to tour together. You want to spend 7 days in Riga. You plan to stay in Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Tallinn, from Riga to Tallinn, from Prague to Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Riga.\n**Day 6-12:** Visit Riga for 7 days.\n**Day 12:** Fly from Riga to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_168",
    "estimated_output_tokens": 693,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Riga, Duration: 7 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Riga, Duration: 7 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n   |- Try arranging to visit Riga from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Prague to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Prague, Riga].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Prague, Riga, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Riga.\n**Day 6-12:** Visit Riga for 7 days.\n**Day 12:** Fly from Riga to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Vienna**Venice",
    "ground_truth_durations": "3**3**5",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 5 days. You would like to visit Milan for 3 days. You want to meet a friend in Milan between day 1 and day 3. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nMilan and Vienna, Vienna and Venice.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 5 days. You would like to visit Milan for 3 days. You want to meet a friend in Milan between day 1 and day 3. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Vienna, from Vienna to Venice.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Venice.\n**Day 5-9:** Visit Venice for 5 days.",
    "id": "trip_planning_example_169",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Vienna] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Vienna, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Copenhagen**Santorini",
    "ground_truth_durations": "2**4**4",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You would like to visit Santorini for 4 days. You are going to attend a wedding in Santorini between day 5 and day 8. You want to spend 2 days in Valencia.\n\nHere are the cities that have direct flights:\nValencia and Copenhagen, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You would like to visit Santorini for 4 days. You are going to attend a wedding in Santorini between day 5 and day 8. You want to spend 2 days in Valencia.\n\nHere are the cities that have direct flights:\nfrom Valencia to Copenhagen, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Copenhagen.\n**Day 2-5:** Visit Copenhagen for 4 days.\n**Day 5:** Fly from Copenhagen to Santorini.\n**Day 5-8:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_170",
    "estimated_output_tokens": 1020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Valencia] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 8).\n |- The departure day of Copenhagen is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Copenhagen to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 8).\n |- The departure day of Valencia is Day 2. The arrival day of Santorini is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 5 - 8).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Copenhagen to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Copenhagen, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Copenhagen.\n**Day 2-5:** Visit Copenhagen for 4 days.\n**Day 5:** Fly from Copenhagen to Santorini.\n**Day 5-8:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Dublin**Valencia",
    "ground_truth_durations": "2**2**3",
    "num_cities": 3,
    "total_days": 5,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Dublin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You want to spend 2 days in Tallinn. During day 1 and day 2, you have to attend a conference in Tallinn. You plan to stay in Dublin for 2 days.\n\nHere are the cities that have direct flights:\nTallinn and Dublin, Dublin and Valencia.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 5 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You want to spend 2 days in Tallinn. During day 1 and day 2, you have to attend a conference in Tallinn. You plan to stay in Dublin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Dublin, from Dublin to Valencia.\n\nFind a trip plan of visiting the cities for 5 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 5 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Dublin.\n**Day 2-3:** Visit Dublin for 2 days.\n**Day 3:** Fly from Dublin to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_171",
    "estimated_output_tokens": 733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Dublin] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Tallinn, Dublin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Dublin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Dublin, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Dublin.\n**Day 2-3:** Visit Dublin for 2 days.\n**Day 3:** Fly from Dublin to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Amsterdam**Santorini",
    "ground_truth_durations": "5**3**3",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. You want to spend 3 days in Santorini. You are going to attend a wedding in Santorini between day 7 and day 9. You would like to visit Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nVilnius and Amsterdam, Amsterdam and Santorini.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. You want to spend 3 days in Santorini. You are going to attend a wedding in Santorini between day 7 and day 9. You would like to visit Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Amsterdam, from Amsterdam to Santorini.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Amsterdam.\n**Day 5-7:** Visit Amsterdam for 3 days.\n**Day 7:** Fly from Amsterdam to Santorini.\n**Day 7-9:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_172",
    "estimated_output_tokens": 1052,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Vilnius, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 7 - 9).\n |- The departure day of Amsterdam is Day 3. The arrival day of Santorini is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Amsterdam to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 7 - 9).\n |- The departure day of Vilnius is Day 5. The arrival day of Santorini is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 7 - 9).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Amsterdam, Santorini].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Amsterdam.\n**Day 5-7:** Visit Amsterdam for 3 days.\n**Day 7:** Fly from Amsterdam to Santorini.\n**Day 7-9:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Copenhagen**Venice",
    "ground_truth_durations": "3**2**6",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You want to spend 3 days in Stockholm. You want to meet a friend in Stockholm between day 1 and day 3. You want to spend 6 days in Venice.\n\nHere are the cities that have direct flights:\nCopenhagen and Venice, Stockholm and Copenhagen.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You want to spend 3 days in Stockholm. You want to meet a friend in Stockholm between day 1 and day 3. You want to spend 6 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Venice, from Stockholm to Copenhagen.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-9:** Visit Venice for 6 days.",
    "id": "trip_planning_example_173",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Venice, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Venice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Copenhagen].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Copenhagen to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Copenhagen, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-9:** Visit Venice for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Lisbon**Krakow",
    "ground_truth_durations": "4**6**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 7 days. During day 9 and day 15, you have to attend a conference in Krakow. You plan to stay in Hamburg for 4 days. You plan to stay in Lisbon for 6 days.\n\nHere are the cities that have direct flights:\nHamburg and Lisbon, Lisbon and Krakow.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 7 days. During day 9 and day 15, you have to attend a conference in Krakow. You plan to stay in Hamburg for 4 days. You plan to stay in Lisbon for 6 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Lisbon, from Lisbon to Krakow.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Lisbon.\n**Day 4-9:** Visit Lisbon for 6 days.\n**Day 9:** Fly from Lisbon to Krakow.\n**Day 9-15:** Visit Krakow for 7 days.",
    "id": "trip_planning_example_174",
    "estimated_output_tokens": 759,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Hamburg, Duration: 4 days.\n* City: Lisbon, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Lisbon, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Lisbon] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 9 - 15).\n |- The departure day of Hamburg is Day 4. The arrival day of Krakow is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Hamburg to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 9 - 15).\n   |- The departure day of Lisbon is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Hamburg, Lisbon, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Lisbon.\n**Day 4-9:** Visit Lisbon for 6 days.\n**Day 9:** Fly from Lisbon to Krakow.\n**Day 9-15:** Visit Krakow for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Valencia**Athens",
    "ground_truth_durations": "6**5**2",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Amsterdam",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 6 days. You would like to meet your friends at Amsterdam between day 1 and day 6 to tour together. You plan to stay in Valencia for 5 days. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nAmsterdam and Valencia, from Valencia to Athens, Amsterdam and Athens.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 6 days. You would like to meet your friends at Amsterdam between day 1 and day 6 to tour together. You plan to stay in Valencia for 5 days. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Valencia, from Valencia to Athens, from Amsterdam to Athens.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-6:** Arriving in Amsterdam and visit Amsterdam for 6 days.\n**Day 6:** Fly from Amsterdam to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Athens.\n**Day 10-11:** Visit Athens for 2 days.",
    "id": "trip_planning_example_175",
    "estimated_output_tokens": 674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Athens] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Amsterdam to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Amsterdam, Valencia].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n     |- Try arranging to visit Athens from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Amsterdam, Valencia, Athens].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Amsterdam and visit Amsterdam for 6 days.\n**Day 6:** Fly from Amsterdam to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Athens.\n**Day 10-11:** Visit Athens for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vienna**Seville",
    "ground_truth_durations": "7**3**6",
    "num_cities": 3,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Seville"
      ],
      [
        "Riga",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Seville. You plan to visit relatives in Seville between day 9 and day 14. You want to spend 7 days in Riga. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nVienna and Seville, Riga and Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Seville. You plan to visit relatives in Seville between day 9 and day 14. You want to spend 7 days in Riga. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Seville, from Riga to Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 14 days:\n\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Seville.\n**Day 9-14:** Visit Seville for 6 days.",
    "id": "trip_planning_example_176",
    "estimated_output_tokens": 767,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Riga, Duration: 7 days.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Riga, Duration: 7 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Vienna] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 14).\n |- The departure day of Riga is Day 7. The arrival day of Seville is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Riga to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 9 - 14).\n   |- The departure day of Vienna is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Riga, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Vienna to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Riga, Vienna, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Riga and visit Riga for 7 days.\n**Day 7:** Fly from Riga to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Seville.\n**Day 9-14:** Visit Seville for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Lisbon**Stuttgart",
    "ground_truth_durations": "7**3**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Madrid. You would like to visit Stuttgart for 7 days. You have to attend a workshop in Stuttgart between day 9 and day 15. You plan to stay in Lisbon for 3 days.\n\nHere are the cities that have direct flights:\nLisbon and Stuttgart, Madrid and Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Madrid. You would like to visit Stuttgart for 7 days. You have to attend a workshop in Stuttgart between day 9 and day 15. You plan to stay in Lisbon for 3 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Stuttgart, from Madrid to Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Lisbon.\n**Day 7-9:** Visit Lisbon for 3 days.\n**Day 9:** Fly from Lisbon to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_177",
    "estimated_output_tokens": 747,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 7 days.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Lisbon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 7 days.\n* City: Lisbon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Lisbon] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 9 - 15).\n |- The departure day of Madrid is Day 7. The arrival day of Stuttgart is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Madrid to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 9 - 15).\n   |- The departure day of Lisbon is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Madrid, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Madrid, Lisbon, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Lisbon.\n**Day 7-9:** Visit Lisbon for 3 days.\n**Day 9:** Fly from Lisbon to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Lisbon**Krakow",
    "ground_truth_durations": "2**2**7",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Seville",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 2 days. You want to meet a friend in Seville between day 1 and day 2. You plan to stay in Krakow for 7 days. You want to spend 2 days in Lisbon.\n\nHere are the cities that have direct flights:\nLisbon and Krakow, Seville and Lisbon.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 2 days. You want to meet a friend in Seville between day 1 and day 2. You plan to stay in Krakow for 7 days. You want to spend 2 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Krakow, from Seville to Lisbon.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Krakow.\n**Day 3-9:** Visit Krakow for 7 days.",
    "id": "trip_planning_example_178",
    "estimated_output_tokens": 741,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Duration: 7 days.\n* City: Lisbon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Krakow, Duration: 7 days.\n* City: Lisbon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Lisbon] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Seville to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Seville to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Seville, Lisbon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Lisbon, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Krakow.\n**Day 3-9:** Visit Krakow for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Lyon**Nice",
    "ground_truth_durations": "6**2**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Nice"
      ],
      [
        "Prague",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. You want to spend 6 days in Prague. You want to meet a friend in Prague between day 1 and day 6. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nLyon and Nice, Prague and Lyon.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. You want to spend 6 days in Prague. You want to meet a friend in Prague between day 1 and day 6. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Nice, from Prague to Lyon.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Nice.\n**Day 7-8:** Visit Nice for 2 days.",
    "id": "trip_planning_example_179",
    "estimated_output_tokens": 673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Prague, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Nice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Nice] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Prague to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Lyon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n     |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lyon to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Lyon, Nice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Krakow**Vilnius",
    "ground_truth_durations": "4**3**7",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 7 days. You would like to visit Krakow for 3 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nValencia and Krakow, from Krakow to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 7 days. You would like to visit Krakow for 3 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Krakow, from Krakow to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.",
    "id": "trip_planning_example_180",
    "estimated_output_tokens": 1460,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Valencia] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vilnius to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Vilnius to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Valencia, Krakow, Vilnius].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Paris**Riga",
    "ground_truth_durations": "2**6**4",
    "num_cities": 3,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Riga"
      ],
      [
        "Venice",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You would like to meet your friends at Riga between day 7 and day 10 to tour together. You plan to stay in Venice for 2 days. You would like to visit Paris for 6 days.\n\nHere are the cities that have direct flights:\nParis and Riga, Venice and Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You would like to meet your friends at Riga between day 7 and day 10 to tour together. You plan to stay in Venice for 2 days. You would like to visit Paris for 6 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Riga, from Venice to Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 10 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Paris.\n**Day 2-7:** Visit Paris for 6 days.\n**Day 7:** Fly from Paris to Riga.\n**Day 7-10:** Visit Riga for 4 days.",
    "id": "trip_planning_example_181",
    "estimated_output_tokens": 757,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Venice, Duration: 2 days.\n* City: Paris, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Paris, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Paris] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 7 - 10).\n |- The departure day of Venice is Day 2. The arrival day of Riga is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n   |- Try arranging to visit Paris from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Venice to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 7 - 10).\n   |- The departure day of Paris is Day 7. The arrival day of Riga is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Paris, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Paris.\n**Day 2-7:** Visit Paris for 6 days.\n**Day 7:** Fly from Paris to Riga.\n**Day 7-10:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Amsterdam**Krakow",
    "ground_truth_durations": "3**5**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You plan to stay in Amsterdam for 5 days. You want to spend 7 days in Krakow. You would like to meet your friends at Krakow between day 7 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nAmsterdam and Krakow, Dubrovnik and Amsterdam.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You plan to stay in Amsterdam for 5 days. You want to spend 7 days in Krakow. You would like to meet your friends at Krakow between day 7 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Krakow, from Dubrovnik to Amsterdam.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.",
    "id": "trip_planning_example_182",
    "estimated_output_tokens": 780,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Krakow, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 13).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Krakow is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 7 - 13).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Amsterdam to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Dubrovnik, Amsterdam, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Berlin**Stuttgart",
    "ground_truth_durations": "5**4**4",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 8,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Vilnius",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You want to spend 4 days in Berlin. You would like to visit Stuttgart for 4 days. From day 8 to day 11, there is a annual show you want to attend in Stuttgart.\n\nHere are the cities that have direct flights:\nBerlin and Stuttgart, Vilnius and Berlin.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You want to spend 4 days in Berlin. You would like to visit Stuttgart for 4 days. From day 8 to day 11, there is a annual show you want to attend in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Berlin to Stuttgart, from Vilnius to Berlin.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Stuttgart.\n**Day 8-11:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_183",
    "estimated_output_tokens": 771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Berlin] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 8 - 11).\n |- The departure day of Vilnius is Day 5. The arrival day of Stuttgart is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 8 - 11).\n   |- The departure day of Berlin is Day 8. The arrival day of Stuttgart is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Berlin to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Berlin, Stuttgart].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Stuttgart.\n**Day 8-11:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Warsaw**Krakow",
    "ground_truth_durations": "7**3**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Bucharest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 3 days. You want to spend 5 days in Krakow. You want to spend 7 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 7.\n\nHere are the cities that have direct flights:\nWarsaw and Krakow, Bucharest and Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 3 days. You want to spend 5 days in Krakow. You want to spend 7 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 7.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Krakow, from Bucharest to Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_184",
    "estimated_output_tokens": 695,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n* City: Bucharest, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Krakow] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Bucharest, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Warsaw to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Bucharest, Warsaw, Krakow].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Istanbul**Tallinn",
    "ground_truth_durations": "2**3**4",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You would like to visit Istanbul for 3 days. You would like to visit Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nVenice and Istanbul, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You would like to visit Istanbul for 3 days. You would like to visit Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Istanbul, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Tallinn.\n**Day 4-7:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_185",
    "estimated_output_tokens": 673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Istanbul, Tallinn] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Istanbul, Tallinn].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Tallinn.\n**Day 4-7:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Lisbon**Riga",
    "ground_truth_durations": "3**7**7",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 7 days. During day 9 and day 15, you have to attend a conference in Riga. You plan to stay in Lisbon for 7 days. You want to spend 3 days in Krakow.\n\nHere are the cities that have direct flights:\nKrakow and Lisbon, Lisbon and Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 7 days. During day 9 and day 15, you have to attend a conference in Riga. You plan to stay in Lisbon for 7 days. You want to spend 3 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Krakow to Lisbon, from Lisbon to Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Lisbon.\n**Day 3-9:** Visit Lisbon for 7 days.\n**Day 9:** Fly from Lisbon to Riga.\n**Day 9-15:** Visit Riga for 7 days.",
    "id": "trip_planning_example_186",
    "estimated_output_tokens": 1025,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Lisbon, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Krakow] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 9 - 15).\n |- The departure day of Lisbon is Day 7. The arrival day of Riga is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Lisbon to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 9 - 15).\n |- The departure day of Krakow is Day 3. The arrival day of Riga is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Krakow to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 9 - 15).\n   |- The departure day of Lisbon is Day 9. The arrival day of Riga is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Lisbon to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Krakow, Lisbon, Riga].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Lisbon.\n**Day 3-9:** Visit Lisbon for 7 days.\n**Day 9:** Fly from Lisbon to Riga.\n**Day 9-15:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Venice**Lyon",
    "ground_truth_durations": "3**4**3",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Lyon"
      ],
      [
        "Hamburg",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You want to spend 3 days in Hamburg. During day 1 and day 3, you have to attend a conference in Hamburg. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nVenice and Lyon, Hamburg and Venice.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You want to spend 3 days in Hamburg. During day 1 and day 3, you have to attend a conference in Hamburg. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Lyon, from Hamburg to Venice.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_187",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Venice] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Hamburg to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Venice, Lyon].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Barcelona**Split",
    "ground_truth_durations": "2**7**5",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Brussels. During day 1 and day 2, you have to attend a conference in Brussels. You want to spend 5 days in Split. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nBrussels and Barcelona, Barcelona and Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Brussels. During day 1 and day 2, you have to attend a conference in Brussels. You want to spend 5 days in Split. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Barcelona, from Barcelona to Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Barcelona.\n**Day 2-8:** Visit Barcelona for 7 days.\n**Day 8:** Fly from Barcelona to Split.\n**Day 8-12:** Visit Split for 5 days.",
    "id": "trip_planning_example_188",
    "estimated_output_tokens": 718,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Split, Duration: 5 days.\n* City: Barcelona, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Barcelona, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Barcelona] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Brussels to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Brussels to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Barcelona to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Brussels, Barcelona, Split].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Barcelona.\n**Day 2-8:** Visit Barcelona for 7 days.\n**Day 8:** Fly from Barcelona to Split.\n**Day 8-12:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Valencia**Naples",
    "ground_truth_durations": "2**2**6",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 3,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Valencia",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You plan to stay in Naples for 6 days. You have to attend a workshop in Naples between day 3 and day 8. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nLyon and Valencia, Valencia and Naples.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You plan to stay in Naples for 6 days. You have to attend a workshop in Naples between day 3 and day 8. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Valencia, from Valencia to Naples.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Naples.\n**Day 3-8:** Visit Naples for 6 days.",
    "id": "trip_planning_example_189",
    "estimated_output_tokens": 746,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Naples, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 3 - 8.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Valencia] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 8).\n |- The departure day of Lyon is Day 2. The arrival day of Naples is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 3 - 8).\n   |- The departure day of Valencia is Day 3. The arrival day of Naples is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Valencia to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Valencia, Naples].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Naples.\n**Day 3-8:** Visit Naples for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Seville",
    "ground_truth_durations": "6**5**6",
    "num_cities": 3,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Rome",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 6 days. You are going to attend a wedding in Reykjavik between day 1 and day 6. You want to spend 5 days in Rome. You plan to stay in Seville for 6 days.\n\nHere are the cities that have direct flights:\nReykjavik and Rome, Rome and Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 6 days. You are going to attend a wedding in Reykjavik between day 1 and day 6. You want to spend 5 days in Rome. You plan to stay in Seville for 6 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Rome, from Rome to Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 15 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Seville.\n**Day 10-15:** Visit Seville for 6 days.",
    "id": "trip_planning_example_190",
    "estimated_output_tokens": 715,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Rome, Duration: 5 days.\n* City: Seville, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: Seville, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Seville] and explore these options in order.\n   |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Rome to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Reykjavik, Rome, Seville].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Seville.\n**Day 10-15:** Visit Seville for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Madrid**Venice",
    "ground_truth_durations": "2**2**5",
    "num_cities": 3,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Madrid"
      ],
      [
        "Madrid",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 2 days. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 3 and day 7 to tour together. You want to spend 2 days in Prague.\n\nHere are the cities that have direct flights:\nPrague and Madrid, Madrid and Venice.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 7 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 2 days. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 3 and day 7 to tour together. You want to spend 2 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Prague to Madrid, from Madrid to Venice.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 7 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Venice.\n**Day 3-7:** Visit Venice for 5 days.",
    "id": "trip_planning_example_191",
    "estimated_output_tokens": 992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Prague, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 3 - 7.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Prague] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 7).\n |- The departure day of Madrid is Day 2. The arrival day of Venice is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 7).\n |- The departure day of Prague is Day 2. The arrival day of Venice is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 3 - 7).\n   |- The departure day of Madrid is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Madrid].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Madrid, Venice].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Frankfurt**Bucharest",
    "ground_truth_durations": "5**5**5",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Venice",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You want to spend 5 days in Bucharest. During day 9 and day 13, you have to attend a conference in Bucharest. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Bucharest, Venice and Frankfurt.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You want to spend 5 days in Bucharest. During day 9 and day 13, you have to attend a conference in Bucharest. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Bucharest, from Venice to Frankfurt.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_192",
    "estimated_output_tokens": 758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Frankfurt] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 9 - 13).\n |- The departure day of Venice is Day 5. The arrival day of Bucharest is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 9 - 13).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Frankfurt to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Venice, Frankfurt, Bucharest].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Amsterdam**Dubrovnik",
    "ground_truth_durations": "5**6**2",
    "num_cities": 3,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 6 days. You want to spend 2 days in Dubrovnik. From day 10 to day 11, there is a annual show you want to attend in Dubrovnik. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nRiga and Amsterdam, Amsterdam and Dubrovnik.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 6 days. You want to spend 2 days in Dubrovnik. From day 10 to day 11, there is a annual show you want to attend in Dubrovnik. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Riga to Amsterdam, from Amsterdam to Dubrovnik.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 11 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Amsterdam.\n**Day 5-10:** Visit Amsterdam for 6 days.\n**Day 10:** Fly from Amsterdam to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_193",
    "estimated_output_tokens": 1032,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 6 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Riga] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 10 - 11).\n |- The departure day of Amsterdam is Day 6. The arrival day of Dubrovnik is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n   |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Amsterdam to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 10 - 11).\n |- The departure day of Riga is Day 5. The arrival day of Dubrovnik is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Riga to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 10 - 11).\n   |- The departure day of Amsterdam is Day 10. The arrival day of Dubrovnik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Riga, Amsterdam].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Amsterdam, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Amsterdam.\n**Day 5-10:** Visit Amsterdam for 6 days.\n**Day 10:** Fly from Amsterdam to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Dubrovnik",
    "ground_truth_durations": "2**3**6",
    "num_cities": 3,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Salzburg. You want to spend 6 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 4 and day 9 to tour together. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Dubrovnik, Salzburg and Frankfurt.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Salzburg. You want to spend 6 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 4 and day 9 to tour together. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Dubrovnik, from Salzburg to Frankfurt.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 9 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Frankfurt.\n**Day 2-4:** Visit Frankfurt for 3 days.\n**Day 4:** Fly from Frankfurt to Dubrovnik.\n**Day 4-9:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_194",
    "estimated_output_tokens": 779,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 2 days.\n* City: Dubrovnik, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Frankfurt, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 4 - 9.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 9).\n |- The departure day of Salzburg is Day 2. The arrival day of Dubrovnik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Dubrovnik (Day 4 - 9).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Frankfurt to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Salzburg, Frankfurt, Dubrovnik].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Frankfurt.\n**Day 2-4:** Visit Frankfurt for 3 days.\n**Day 4:** Fly from Frankfurt to Dubrovnik.\n**Day 4-9:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Lisbon**Valencia",
    "ground_truth_durations": "6**5**3",
    "num_cities": 3,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Venice",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Lisbon for 5 days. You plan to stay in Venice for 6 days. You are going to attend a wedding in Venice between day 1 and day 6.\n\nHere are the cities that have direct flights:\nLisbon and Valencia, Venice and Lisbon.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Lisbon for 5 days. You plan to stay in Venice for 6 days. You are going to attend a wedding in Venice between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Valencia, from Venice to Lisbon.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 12 days:\n\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Lisbon.\n**Day 6-10:** Visit Lisbon for 5 days.\n**Day 10:** Fly from Lisbon to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_195",
    "estimated_output_tokens": 720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Lisbon, Duration: 5 days.\n* City: Venice, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Lisbon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Lisbon] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Venice to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Venice to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Venice, Lisbon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Lisbon to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Venice, Lisbon, Valencia].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Venice and visit Venice for 6 days.\n**Day 6:** Fly from Venice to Lisbon.\n**Day 6-10:** Visit Lisbon for 5 days.\n**Day 10:** Fly from Lisbon to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Oslo**Hamburg",
    "ground_truth_durations": "7**7**4",
    "num_cities": 3,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Santorini. You plan to stay in Hamburg for 4 days. You plan to stay in Oslo for 7 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, Oslo and Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Santorini. You plan to stay in Hamburg for 4 days. You plan to stay in Oslo for 7 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, from Oslo to Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 16 days:\n\n**Day 1-7:** Arriving in Santorini and visit Santorini for 7 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-13:** Visit Oslo for 7 days.\n**Day 13:** Fly from Oslo to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_196",
    "estimated_output_tokens": 731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 7 days.\n* City: Hamburg, Duration: 4 days.\n* City: Oslo, Duration: 7 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Santorini, Duration: 7 days.\n* City: Hamburg, Duration: 4 days.\n* City: Oslo, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Oslo] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Oslo] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Santorini to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n     |- Check for direct flight from Oslo to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Santorini, Oslo, Hamburg].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Santorini and visit Santorini for 7 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-13:** Visit Oslo for 7 days.\n**Day 13:** Fly from Oslo to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Porto",
    "ground_truth_durations": "3**5**7",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 7,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 3 days. You would like to visit Frankfurt for 5 days. You plan to stay in Porto for 7 days. You have to attend a workshop in Porto between day 7 and day 13.\n\nHere are the cities that have direct flights:\nSalzburg and Frankfurt, Frankfurt and Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 3 days. You would like to visit Frankfurt for 5 days. You plan to stay in Porto for 7 days. You have to attend a workshop in Porto between day 7 and day 13.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Frankfurt, from Frankfurt to Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Porto.\n**Day 7-13:** Visit Porto for 7 days.",
    "id": "trip_planning_example_197",
    "estimated_output_tokens": 755,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Porto, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 7 - 13).\n |- The departure day of Salzburg is Day 3. The arrival day of Porto is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 7 - 13).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Porto is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Frankfurt to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Salzburg, Frankfurt, Porto].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Berlin**Salzburg",
    "ground_truth_durations": "6**3**6",
    "num_cities": 3,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Berlin"
      ],
      [
        "Berlin",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You would like to visit Porto for 6 days. You are going to attend a wedding in Porto between day 1 and day 6. You would like to visit Salzburg for 6 days.\n\nHere are the cities that have direct flights:\nPorto and Berlin, Berlin and Salzburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You would like to visit Porto for 6 days. You are going to attend a wedding in Porto between day 1 and day 6. You would like to visit Salzburg for 6 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Berlin, from Berlin to Salzburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 13 days:\n\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Berlin.\n**Day 6-8:** Visit Berlin for 3 days.\n**Day 8:** Fly from Berlin to Salzburg.\n**Day 8-13:** Visit Salzburg for 6 days.",
    "id": "trip_planning_example_198",
    "estimated_output_tokens": 681,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days.\n* City: Porto, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Salzburg, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Salzburg, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Berlin to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Porto, Berlin, Salzburg].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Berlin.\n**Day 6-8:** Visit Berlin for 3 days.\n**Day 8:** Fly from Berlin to Salzburg.\n**Day 8-13:** Visit Salzburg for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Budapest**Mykonos",
    "ground_truth_durations": "3**5**2",
    "num_cities": 3,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Dublin",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 2 days. You plan to stay in Dublin for 3 days. From day 1 to day 3, there is a annual show you want to attend in Dublin. You want to spend 5 days in Budapest.\n\nHere are the cities that have direct flights:\nBudapest and Mykonos, Dublin and Budapest.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 3 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 2 days. You plan to stay in Dublin for 3 days. From day 1 to day 3, there is a annual show you want to attend in Dublin. You want to spend 5 days in Budapest.\n\nHere are the cities that have direct flights:\nfrom Budapest to Mykonos, from Dublin to Budapest.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 3 European cities for 8 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Budapest.\n**Day 3-7:** Visit Budapest for 5 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_199",
    "estimated_output_tokens": 740,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Budapest, Mykonos].\n      |- All 3 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Budapest.\n**Day 3-7:** Visit Budapest for 5 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Lyon**Barcelona**Helsinki",
    "ground_truth_durations": "3**6**6**3",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 3,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Prague",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 6 days. From day 8 to day 13, there is a annual show you want to attend in Barcelona. You plan to stay in Helsinki for 3 days. You want to spend 6 days in Lyon. During day 3 and day 8, you have to attend a conference in Lyon. You want to spend 3 days in Prague.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Prague and Barcelona, Lyon and Barcelona, Barcelona and Helsinki, Prague and Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 6 days. From day 8 to day 13, there is a annual show you want to attend in Barcelona. You plan to stay in Helsinki for 3 days. You want to spend 6 days in Lyon. During day 3 and day 8, you have to attend a conference in Lyon. You want to spend 3 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Prague to Barcelona, from Lyon to Barcelona, from Barcelona to Helsinki, from Prague to Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Lyon.\n**Day 3-8:** Visit Lyon for 6 days.\n**Day 8:** Fly from Lyon to Barcelona.\n**Day 8-13:** Visit Barcelona for 6 days.\n**Day 13:** Fly from Barcelona to Helsinki.\n**Day 13-15:** Visit Helsinki for 3 days.",
    "id": "trip_planning_example_200",
    "estimated_output_tokens": 1201,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Helsinki, Duration: 3 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n* City: Prague, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 3 - 8.\n* City: Barcelona, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Prague] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 8).\n |- The departure day of Helsinki is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Helsinki to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 8).\n |- The departure day of Prague is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Prague to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 8 - 13).\n   |- The departure day of Lyon is Day 8. The arrival day of Barcelona is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Lyon to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Prague, Lyon, Barcelona].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Barcelona to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Prague, Lyon, Barcelona, Helsinki].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Lyon.\n**Day 3-8:** Visit Lyon for 6 days.\n**Day 8:** Fly from Lyon to Barcelona.\n**Day 8-13:** Visit Barcelona for 6 days.\n**Day 13:** Fly from Barcelona to Helsinki.\n**Day 13-15:** Visit Helsinki for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Munich**Paris**Tallinn",
    "ground_truth_durations": "4**5**4**3",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Paris"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Paris",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You would like to visit Venice for 4 days. From day 1 to day 4, there is a annual show you want to attend in Venice. You plan to stay in Paris for 4 days. You would like to meet your friends at Paris between day 8 and day 11 to tour together. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nMunich and Paris, Venice and Paris, Venice and Munich, Munich and Tallinn, Paris and Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You would like to visit Venice for 4 days. From day 1 to day 4, there is a annual show you want to attend in Venice. You plan to stay in Paris for 4 days. You would like to meet your friends at Paris between day 8 and day 11 to tour together. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Paris, from Venice to Paris, from Venice to Munich, from Munich to Tallinn, from Paris to Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Paris.\n**Day 8-11:** Visit Paris for 4 days.\n**Day 11:** Fly from Paris to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_201",
    "estimated_output_tokens": 968,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 8 - 11).\n |- The departure day of Venice is Day 4. The arrival day of Paris is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 8 - 11).\n   |- The departure day of Munich is Day 8. The arrival day of Paris is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Munich, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Venice, Munich, Paris, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Paris.\n**Day 8-11:** Visit Paris for 4 days.\n**Day 11:** Fly from Paris to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Mykonos**Athens**Split",
    "ground_truth_durations": "7**7**2**6",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Split"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Mykonos",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. You plan to stay in Mykonos for 7 days. You have to attend a workshop in Mykonos between day 7 and day 13. You plan to stay in Split for 6 days. You plan to stay in Madrid for 7 days. You want to meet a friend in Madrid between day 1 and day 7.\n\nHere are the cities that have direct flights:\nMadrid and Split, Madrid and Athens, Madrid and Mykonos, Athens and Split, Mykonos and Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. You plan to stay in Mykonos for 7 days. You have to attend a workshop in Mykonos between day 7 and day 13. You plan to stay in Split for 6 days. You plan to stay in Madrid for 7 days. You want to meet a friend in Madrid between day 1 and day 7.\n\nHere are the cities that have direct flights:\nfrom Madrid to Split, from Madrid to Athens, from Madrid to Mykonos, from Athens to Split, from Mykonos to Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Mykonos.\n**Day 7-13:** Visit Mykonos for 7 days.\n**Day 13:** Fly from Mykonos to Athens.\n**Day 13-14:** Visit Athens for 2 days.\n**Day 14:** Fly from Athens to Split.\n**Day 14-19:** Visit Split for 6 days.",
    "id": "trip_planning_example_202",
    "estimated_output_tokens": 949,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days.\n* City: Mykonos, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Split, Duration: 6 days.\n* City: Madrid, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 7.\n* City: Mykonos, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 7 - 13).\n |- The departure day of Madrid is Day 7. The arrival day of Mykonos is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Mykonos.\n   |- Try arranging to visit Mykonos from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Madrid to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Madrid, Mykonos].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Split] and explore these options in order.\n     |- Try arranging to visit Athens from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n     |- Check for direct flight from Mykonos to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Madrid, Mykonos, Athens].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Athens to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Madrid, Mykonos, Athens, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Mykonos.\n**Day 7-13:** Visit Mykonos for 7 days.\n**Day 13:** Fly from Mykonos to Athens.\n**Day 13-14:** Visit Athens for 2 days.\n**Day 14:** Fly from Athens to Split.\n**Day 14-19:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Paris**Porto**Lyon",
    "ground_truth_durations": "6**4**5**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. You have to attend a workshop in Porto between day 9 and day 13. You want to spend 6 days in Prague. You plan to stay in Paris for 4 days. You want to meet a friend in Paris between day 6 and day 9. You plan to stay in Lyon for 6 days.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Prague and Paris, Porto and Lyon, Paris and Porto, Paris and Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. You have to attend a workshop in Porto between day 9 and day 13. You want to spend 6 days in Prague. You plan to stay in Paris for 4 days. You want to meet a friend in Paris between day 6 and day 9. You plan to stay in Lyon for 6 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Prague to Paris, from Porto to Lyon, from Paris to Porto, from Paris to Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Paris.\n**Day 6-9:** Visit Paris for 4 days.\n**Day 9:** Fly from Paris to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-18:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_203",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Prague, Duration: 6 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Lyon, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 6 - 9.\n* City: Porto, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Prague, Duration: 6 days.\n* City: Lyon, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Lyon] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 6 - 9).\n |- The departure day of Prague is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Prague to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 13).\n   |- The departure day of Paris is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Prague, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Paris to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Prague, Paris, Porto].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Porto to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Prague, Paris, Porto, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Paris.\n**Day 6-9:** Visit Paris for 4 days.\n**Day 9:** Fly from Paris to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-18:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Venice**Madrid**Dubrovnik",
    "ground_truth_durations": "7**2**2**3",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Madrid"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. From day 7 to day 8, there is a annual show you want to attend in Venice. You plan to stay in Dubrovnik for 3 days. You want to spend 2 days in Madrid. You want to meet a friend in Madrid between day 8 and day 9. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nVenice and Madrid, Oslo and Venice, Madrid and Dubrovnik, Oslo and Dubrovnik, Oslo and Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. From day 7 to day 8, there is a annual show you want to attend in Venice. You plan to stay in Dubrovnik for 3 days. You want to spend 2 days in Madrid. You want to meet a friend in Madrid between day 8 and day 9. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Venice to Madrid, from Oslo to Venice, from Madrid to Dubrovnik, from Oslo to Dubrovnik, from Oslo to Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_204",
    "estimated_output_tokens": 1229,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Dubrovnik, Duration: 3 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Oslo, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 7 - 8.\n* City: Madrid, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Venice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Oslo is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Oslo to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 8 - 9).\n   |- The departure day of Venice is Day 8. The arrival day of Madrid is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Madrid to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Venice, Madrid, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Venice**Madrid**Bucharest",
    "ground_truth_durations": "5**3**6**2",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Naples",
        "Madrid"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Naples",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. From day 1 to day 5, there is a annual show you want to attend in Naples. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 12 and day 13. You plan to stay in Madrid for 6 days. You plan to stay in Venice for 3 days.\n\nHere are the cities that have direct flights:\nMadrid and Bucharest, Naples and Madrid, Naples and Bucharest, Venice and Madrid, Naples and Venice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. From day 1 to day 5, there is a annual show you want to attend in Naples. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 12 and day 13. You plan to stay in Madrid for 6 days. You plan to stay in Venice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Bucharest, from Naples to Madrid, from Naples to Bucharest, from Venice to Madrid, from Naples to Venice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Madrid.\n**Day 7-12:** Visit Madrid for 6 days.\n**Day 12:** Fly from Madrid to Bucharest.\n**Day 12-13:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_205",
    "estimated_output_tokens": 1267,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Madrid, Duration: 6 days.\n* City: Venice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Madrid, Duration: 6 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 12 - 13).\n |- The departure day of Naples is Day 5. The arrival day of Bucharest is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Venice] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Naples to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 12 - 13).\n   |- The departure day of Madrid is Day 10. The arrival day of Bucharest is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Naples, Madrid].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Madrid to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Naples to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 12 - 13).\n   |- The departure day of Venice is Day 7. The arrival day of Bucharest is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Naples, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 12 - 13).\n     |- The departure day of Madrid is Day 12. The arrival day of Bucharest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Madrid to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Naples, Venice, Madrid, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Madrid.\n**Day 7-12:** Visit Madrid for 6 days.\n**Day 12:** Fly from Madrid to Bucharest.\n**Day 12-13:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Zurich**Porto**Lyon",
    "ground_truth_durations": "5**3**7**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You want to spend 5 days in Lyon. You would like to visit Porto for 7 days. You would like to visit Zurich for 3 days. From day 5 to day 7, there is a annual show you want to attend in Zurich.\n\nHere are the cities that have direct flights:\nZurich and Porto, Porto and Lyon, Dubrovnik and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You want to spend 5 days in Lyon. You would like to visit Porto for 7 days. You would like to visit Zurich for 3 days. From day 5 to day 7, there is a annual show you want to attend in Zurich.\n\nHere are the cities that have direct flights:\nfrom Zurich to Porto, from Porto to Lyon, from Dubrovnik to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_206",
    "estimated_output_tokens": 984,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Porto, Duration: 7 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Porto, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon, Porto] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 7).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Zurich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dubrovnik to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Porto] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Dubrovnik, Zurich, Porto].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Porto to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Dubrovnik, Zurich, Porto, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Reykjavik**Prague**Tallinn",
    "ground_truth_durations": "4**7**7**6",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Milan",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Tallinn. You want to spend 7 days in Prague. You would like to visit Reykjavik for 7 days. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nMilan and Reykjavik, Prague and Tallinn, Reykjavik and Prague, Milan and Prague.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Tallinn. You want to spend 7 days in Prague. You would like to visit Reykjavik for 7 days. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nfrom Milan to Reykjavik, from Prague to Tallinn, from Reykjavik to Prague, from Milan to Prague.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Reykjavik.\n**Day 4-10:** Visit Reykjavik for 7 days.\n**Day 10:** Fly from Reykjavik to Prague.\n**Day 10-16:** Visit Prague for 7 days.\n**Day 16:** Fly from Prague to Tallinn.\n**Day 16-21:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_207",
    "estimated_output_tokens": 1482,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 6 days.\n* City: Prague, Duration: 7 days.\n* City: Reykjavik, Duration: 7 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 6 days.\n* City: Prague, Duration: 7 days.\n* City: Reykjavik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Milan to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Milan, Prague].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Milan, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Tallinn to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Prague to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Milan, Reykjavik].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Reykjavik to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Reykjavik to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Milan, Reykjavik, Prague].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Milan, Reykjavik, Prague, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Reykjavik.\n**Day 4-10:** Visit Reykjavik for 7 days.\n**Day 10:** Fly from Reykjavik to Prague.\n**Day 10-16:** Visit Prague for 7 days.\n**Day 16:** Fly from Prague to Tallinn.\n**Day 16-21:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Santorini**Geneva**Split",
    "ground_truth_durations": "6**2**2**6",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 8,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Split"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Milan",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 2 days. During day 7 and day 8, you have to attend a conference in Geneva. You plan to stay in Santorini for 2 days. You want to spend 6 days in Milan. You plan to stay in Split for 6 days. You plan to visit relatives in Split between day 8 and day 13.\n\nHere are the cities that have direct flights:\nMilan and Split, Geneva and Split, Santorini and Geneva, Milan and Santorini.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 2 days. During day 7 and day 8, you have to attend a conference in Geneva. You plan to stay in Santorini for 2 days. You want to spend 6 days in Milan. You plan to stay in Split for 6 days. You plan to visit relatives in Split between day 8 and day 13.\n\nHere are the cities that have direct flights:\nfrom Milan to Split, from Geneva to Split, from Santorini to Geneva, from Milan to Santorini.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Split.\n**Day 8-13:** Visit Split for 6 days.",
    "id": "trip_planning_example_208",
    "estimated_output_tokens": 1275,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Santorini, Duration: 2 days.\n* City: Milan, Duration: 6 days.\n* City: Split, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 7 - 8.\n* City: Split, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Milan, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Milan] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 7 - 8).\n |- The departure day of Santorini is Day 2. The arrival day of Geneva is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Santorini to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 7 - 8).\n |- The departure day of Milan is Day 6. The arrival day of Geneva is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Milan to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 7 - 8).\n   |- The departure day of Santorini is Day 7. The arrival day of Geneva is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Santorini to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 8 - 13).\n     |- The departure day of Geneva is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, Santorini, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n       |- Try arranging to visit Split from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Geneva to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Milan, Santorini, Geneva, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Split.\n**Day 8-13:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Oslo**Milan**Reykjavik",
    "ground_truth_durations": "4**4**6**3",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You want to spend 6 days in Milan. You want to spend 3 days in Reykjavik. You want to meet a friend in Reykjavik between day 12 and day 14. You want to spend 4 days in Oslo.\n\nHere are the cities that have direct flights:\nOslo and Reykjavik, Dubrovnik and Oslo, Milan and Reykjavik, Oslo and Milan.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You want to spend 6 days in Milan. You want to spend 3 days in Reykjavik. You want to meet a friend in Reykjavik between day 12 and day 14. You want to spend 4 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Oslo to Reykjavik, from Dubrovnik to Oslo, from Milan to Reykjavik, from Oslo to Milan.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-7:** Visit Oslo for 4 days.\n**Day 7:** Fly from Oslo to Milan.\n**Day 7-12:** Visit Milan for 6 days.\n**Day 12:** Fly from Milan to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_209",
    "estimated_output_tokens": 1100,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days.\n* City: Milan, Duration: 6 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Oslo, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Milan, Duration: 6 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Oslo] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 12 - 14).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Reykjavik is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Oslo] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dubrovnik to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 12 - 14).\n   |- The departure day of Oslo is Day 7. The arrival day of Reykjavik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Oslo].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Oslo to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 12 - 14).\n     |- The departure day of Milan is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dubrovnik, Oslo, Milan].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Milan to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dubrovnik, Oslo, Milan, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-7:** Visit Oslo for 4 days.\n**Day 7:** Fly from Oslo to Milan.\n**Day 7-12:** Visit Milan for 6 days.\n**Day 12:** Fly from Milan to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Oslo**Prague**Valencia",
    "ground_truth_durations": "3**2**4**4",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Valencia"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Vienna",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You want to spend 3 days in Vienna. You would like to meet your friends at Vienna between day 1 and day 3 to tour together. You plan to stay in Prague for 4 days. You want to spend 4 days in Valencia. During day 7 and day 10, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nPrague and Valencia, Vienna and Prague, Oslo and Prague, Vienna and Oslo, Vienna and Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You want to spend 3 days in Vienna. You would like to meet your friends at Vienna between day 1 and day 3 to tour together. You plan to stay in Prague for 4 days. You want to spend 4 days in Valencia. During day 7 and day 10, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nfrom Prague to Valencia, from Vienna to Prague, from Oslo to Prague, from Vienna to Oslo, from Vienna to Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_210",
    "estimated_output_tokens": 994,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 4 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 10).\n |- The departure day of Vienna is Day 3. The arrival day of Valencia is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Prague] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vienna to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 10).\n   |- The departure day of Oslo is Day 4. The arrival day of Valencia is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vienna, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Oslo to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 7 - 10).\n     |- The departure day of Prague is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Oslo, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Oslo, Prague, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Florence**Munich**Athens",
    "ground_truth_durations": "6**2**3**7",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Athens"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Florence",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in London. You are going to attend a wedding in London between day 1 and day 6. You want to spend 3 days in Munich. You want to spend 2 days in Florence. You plan to stay in Athens for 7 days.\n\nHere are the cities that have direct flights:\nMunich and Athens, London and Florence, London and Munich, London and Athens, from Florence to Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in London. You are going to attend a wedding in London between day 1 and day 6. You want to spend 3 days in Munich. You want to spend 2 days in Florence. You plan to stay in Athens for 7 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Athens, from London to Florence, from London to Munich, from London to Athens, from Florence to Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-6:** Arriving in London and visit London for 6 days.\n**Day 6:** Fly from London to Florence.\n**Day 6-7:** Visit Florence for 2 days.\n**Day 7:** Fly from Florence to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Athens.\n**Day 9-15:** Visit Athens for 7 days.",
    "id": "trip_planning_example_211",
    "estimated_output_tokens": 1311,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Munich, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Athens, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Athens, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Florence, Athens] and explore these options in order.\n   |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from London to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Athens] and explore these options in order.\n     |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Munich to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Munich to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [London, Munich, Athens].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Athens to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from London to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Florence].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Athens] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Florence to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [London, Florence, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Munich to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [London, Florence, Munich, Athens].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in London and visit London for 6 days.\n**Day 6:** Fly from London to Florence.\n**Day 6-7:** Visit Florence for 2 days.\n**Day 7:** Fly from Florence to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Athens.\n**Day 9-15:** Visit Athens for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Paris**Barcelona**Valencia",
    "ground_truth_durations": "4**5**2**5",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Valencia"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Paris",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You have to attend a workshop in Valencia between day 9 and day 13. You plan to stay in Athens for 4 days. You would like to visit Paris for 5 days. From day 4 to day 8, there is a annual show you want to attend in Paris. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nParis and Valencia, Barcelona and Valencia, Athens and Paris, Athens and Barcelona, from Valencia to Athens, Paris and Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You have to attend a workshop in Valencia between day 9 and day 13. You plan to stay in Athens for 4 days. You would like to visit Paris for 5 days. From day 4 to day 8, there is a annual show you want to attend in Paris. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Valencia, from Barcelona to Valencia, from Athens to Paris, from Athens to Barcelona, from Valencia to Athens, from Paris to Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Barcelona.\n**Day 8-9:** Visit Barcelona for 2 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_212",
    "estimated_output_tokens": 994,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Athens, Duration: 4 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 4 - 8.\n* City: Valencia, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Barcelona] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Athens is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 9 - 13).\n   |- The departure day of Paris is Day 8. The arrival day of Valencia is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 9 - 13).\n     |- The departure day of Barcelona is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Paris, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Paris, Barcelona, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Barcelona.\n**Day 8-9:** Visit Barcelona for 2 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Stockholm**Paris**Valencia",
    "ground_truth_durations": "5**7**4**2",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 5,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Tallinn",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 4 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 14 and day 15. You would like to visit Tallinn for 5 days. You plan to stay in Stockholm for 7 days. You would like to meet your friends at Stockholm between day 5 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nStockholm and Paris, Paris and Valencia, Tallinn and Paris, Tallinn and Stockholm.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 4 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 14 and day 15. You would like to visit Tallinn for 5 days. You plan to stay in Stockholm for 7 days. You would like to meet your friends at Stockholm between day 5 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Paris, from Paris to Valencia, from Tallinn to Paris, from Tallinn to Stockholm.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Stockholm.\n**Day 5-11:** Visit Stockholm for 7 days.\n**Day 11:** Fly from Stockholm to Paris.\n**Day 11-14:** Visit Paris for 4 days.\n**Day 14:** Fly from Paris to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_213",
    "estimated_output_tokens": 1254,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Tallinn, Duration: 5 days.\n* City: Stockholm, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 5 - 11.\n* City: Valencia, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Paris, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Tallinn] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 5 - 11).\n |- The departure day of Paris is Day 4. The arrival day of Stockholm is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Paris to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 5 - 11).\n |- The departure day of Tallinn is Day 5. The arrival day of Stockholm is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 14 - 15).\n   |- The departure day of Stockholm is Day 11. The arrival day of Valencia is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Tallinn, Stockholm].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n     |- Try arranging to visit Paris from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Stockholm to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 14 - 15).\n     |- The departure day of Paris is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Tallinn, Stockholm, Paris].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Paris to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Tallinn, Stockholm, Paris, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Stockholm.\n**Day 5-11:** Visit Stockholm for 7 days.\n**Day 11:** Fly from Stockholm to Paris.\n**Day 11-14:** Visit Paris for 4 days.\n**Day 14:** Fly from Paris to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Naples**Copenhagen**Dubrovnik",
    "ground_truth_durations": "5**3**7**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Warsaw",
        "Copenhagen"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Dubrovnik. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 1 and day 5. You plan to stay in Naples for 3 days. You want to spend 7 days in Copenhagen. During day 7 and day 13, you have to attend a conference in Copenhagen.\n\nHere are the cities that have direct flights:\nNaples and Copenhagen, Warsaw and Copenhagen, Naples and Dubrovnik, Warsaw and Naples, Copenhagen and Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Dubrovnik. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 1 and day 5. You plan to stay in Naples for 3 days. You want to spend 7 days in Copenhagen. During day 7 and day 13, you have to attend a conference in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Naples to Copenhagen, from Warsaw to Copenhagen, from Naples to Dubrovnik, from Warsaw to Naples, from Copenhagen to Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Copenhagen.\n**Day 7-13:** Visit Copenhagen for 7 days.\n**Day 13:** Fly from Copenhagen to Dubrovnik.\n**Day 13-18:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_214",
    "estimated_output_tokens": 1024,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 6 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Naples, Duration: 3 days.\n* City: Copenhagen, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 6 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 7 - 13).\n |- The departure day of Warsaw is Day 5. The arrival day of Copenhagen is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Warsaw to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Warsaw to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 7 - 13).\n   |- The departure day of Naples is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Naples to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Warsaw, Naples, Copenhagen].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Copenhagen to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Warsaw, Naples, Copenhagen, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Copenhagen.\n**Day 7-13:** Visit Copenhagen for 7 days.\n**Day 13:** Fly from Copenhagen to Dubrovnik.\n**Day 13-18:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Stockholm**Dubrovnik",
    "ground_truth_durations": "5**2**6**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Munich",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. During day 5 and day 6, you have to attend a conference in Munich. You plan to stay in Dubrovnik for 6 days. You want to spend 5 days in Seville. You would like to visit Stockholm for 6 days. You are going to attend a wedding in Stockholm between day 6 and day 11.\n\nHere are the cities that have direct flights:\nMunich and Dubrovnik, Stockholm and Dubrovnik, Seville and Munich, Munich and Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. During day 5 and day 6, you have to attend a conference in Munich. You plan to stay in Dubrovnik for 6 days. You want to spend 5 days in Seville. You would like to visit Stockholm for 6 days. You are going to attend a wedding in Stockholm between day 6 and day 11.\n\nHere are the cities that have direct flights:\nfrom Munich to Dubrovnik, from Stockholm to Dubrovnik, from Seville to Munich, from Munich to Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Stockholm.\n**Day 6-11:** Visit Stockholm for 6 days.\n**Day 11:** Fly from Stockholm to Dubrovnik.\n**Day 11-16:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_215",
    "estimated_output_tokens": 1099,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Dubrovnik, Duration: 6 days.\n* City: Seville, Duration: 5 days.\n* City: Stockholm, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 5 - 6.\n* City: Stockholm, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 6 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Seville] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 6).\n |- The departure day of Dubrovnik is Day 6. The arrival day of Munich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 6).\n |- The departure day of Seville is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 6 - 11).\n   |- The departure day of Munich is Day 6. The arrival day of Stockholm is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Munich to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Munich, Stockholm].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Stockholm to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Seville, Munich, Stockholm, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Stockholm.\n**Day 6-11:** Visit Stockholm for 6 days.\n**Day 11:** Fly from Stockholm to Dubrovnik.\n**Day 11-16:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Milan**Split**Frankfurt",
    "ground_truth_durations": "7**3**2**2",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 9 and day 10. You plan to stay in Brussels for 7 days. You would like to visit Frankfurt for 2 days. During day 10 and day 11, you have to attend a conference in Frankfurt.\n\nHere are the cities that have direct flights:\nSplit and Frankfurt, Milan and Split, Brussels and Milan, from Brussels to Frankfurt, Milan and Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 9 and day 10. You plan to stay in Brussels for 7 days. You would like to visit Frankfurt for 2 days. During day 10 and day 11, you have to attend a conference in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Split to Frankfurt, from Milan to Split, from Brussels to Milan, from Brussels to Frankfurt, from Milan to Frankfurt.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-7:** Arriving in Brussels and visit Brussels for 7 days.\n**Day 7:** Fly from Brussels to Milan.\n**Day 7-9:** Visit Milan for 3 days.\n**Day 9:** Fly from Milan to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Frankfurt.\n**Day 10-11:** Visit Frankfurt for 2 days.",
    "id": "trip_planning_example_216",
    "estimated_output_tokens": 1240,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Brussels, Duration: 7 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 9 - 10.\n* City: Frankfurt, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Brussels, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Brussels] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 9 - 10).\n |- The departure day of Milan is Day 3. The arrival day of Split is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Milan to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 9 - 10).\n |- The departure day of Brussels is Day 7. The arrival day of Split is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Brussels to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 9 - 10).\n   |- The departure day of Milan is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Brussels, Milan].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n     |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 10 - 11).\n     |- The departure day of Split is Day 10. The arrival day of Frankfurt is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Milan, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Frankfurt.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Milan, Split, Frankfurt].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Brussels and visit Brussels for 7 days.\n**Day 7:** Fly from Brussels to Milan.\n**Day 7-9:** Visit Milan for 3 days.\n**Day 9:** Fly from Milan to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Frankfurt.\n**Day 10-11:** Visit Frankfurt for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**London**Nice**Mykonos",
    "ground_truth_durations": "6**6**3**7",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 13,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Warsaw",
        "London"
      ],
      [
        "London",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit London for 6 days. You plan to visit relatives in London between day 6 and day 11. You want to spend 6 days in Warsaw. You would like to visit Nice for 3 days. You plan to stay in Mykonos for 7 days. You have to attend a workshop in Mykonos between day 13 and day 19.\n\nHere are the cities that have direct flights:\nNice and Mykonos, Warsaw and Nice, London and Mykonos, Warsaw and London, London and Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit London for 6 days. You plan to visit relatives in London between day 6 and day 11. You want to spend 6 days in Warsaw. You would like to visit Nice for 3 days. You plan to stay in Mykonos for 7 days. You have to attend a workshop in Mykonos between day 13 and day 19.\n\nHere are the cities that have direct flights:\nfrom Nice to Mykonos, from Warsaw to Nice, from London to Mykonos, from Warsaw to London, from London to Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to London.\n**Day 6-11:** Visit London for 6 days.\n**Day 11:** Fly from London to Nice.\n**Day 11-13:** Visit Nice for 3 days.\n**Day 13:** Fly from Nice to Mykonos.\n**Day 13-19:** Visit Mykonos for 7 days.",
    "id": "trip_planning_example_217",
    "estimated_output_tokens": 1017,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Warsaw, Duration: 6 days.\n* City: Nice, Duration: 3 days.\n* City: Mykonos, Duration: 7 days, Fixed Schedule: Day 13 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 6 - 11.\n* City: Mykonos, Fixed Schedule: Day 13 - 19.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 6 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Nice] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 6 - 11).\n |- The departure day of Warsaw is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n   |- Try arranging to visit London from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Warsaw to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 13 - 19).\n   |- The departure day of London is Day 11. The arrival day of Mykonos is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Warsaw, London].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n     |- Try arranging to visit Nice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from London to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 13 - 19).\n     |- The departure day of Nice is Day 13. The arrival day of Mykonos is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Warsaw, London, Nice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Warsaw, London, Nice, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to London.\n**Day 6-11:** Visit London for 6 days.\n**Day 11:** Fly from London to Nice.\n**Day 11-13:** Visit Nice for 3 days.\n**Day 13:** Fly from Nice to Mykonos.\n**Day 13-19:** Visit Mykonos for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Vienna**Milan**Mykonos",
    "ground_truth_durations": "7**4**4**4",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Vienna",
        "Milan"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Venice",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You would like to meet your friends at Mykonos between day 13 and day 16 to tour together. You plan to stay in Milan for 4 days. You want to spend 4 days in Vienna. You would like to visit Venice for 7 days.\n\nHere are the cities that have direct flights:\nMilan and Mykonos, Vienna and Milan, Vienna and Mykonos, Venice and Vienna.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You would like to meet your friends at Mykonos between day 13 and day 16 to tour together. You plan to stay in Milan for 4 days. You want to spend 4 days in Vienna. You would like to visit Venice for 7 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Mykonos, from Vienna to Milan, from Vienna to Mykonos, from Venice to Vienna.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Milan.\n**Day 10-13:** Visit Milan for 4 days.\n**Day 13:** Fly from Milan to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_218",
    "estimated_output_tokens": 1867,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Milan, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Vienna, Venice] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 13 - 16).\n |- The departure day of Milan is Day 4. The arrival day of Mykonos is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Venice] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Milan to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 13 - 16).\n |- The departure day of Vienna is Day 4. The arrival day of Mykonos is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Venice] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vienna to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 13 - 16).\n   |- The departure day of Milan is Day 7. The arrival day of Mykonos is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vienna, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Milan to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Vienna to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 13 - 16).\n |- The departure day of Venice is Day 7. The arrival day of Mykonos is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Vienna] and explore these options in order.\n   |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Venice to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Venice to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 13 - 16).\n   |- The departure day of Vienna is Day 10. The arrival day of Mykonos is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Venice, Vienna].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Vienna to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Mykonos (Day 13 - 16).\n     |- The departure day of Milan is Day 13. The arrival day of Mykonos is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Venice, Vienna, Milan].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Milan to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Venice, Vienna, Milan, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Milan.\n**Day 10-13:** Visit Milan for 4 days.\n**Day 13:** Fly from Milan to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Oslo**Paris**Seville",
    "ground_truth_durations": "6**6**5**7",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 6 days. You want to spend 7 days in Seville. You would like to visit Oslo for 6 days. You want to meet a friend in Oslo between day 6 and day 11. You would like to visit Paris for 5 days. From day 11 to day 15, there is a annual show you want to attend in Paris.\n\nHere are the cities that have direct flights:\nLyon and Oslo, Lyon and Paris, Oslo and Paris, Paris and Seville.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 6 days. You want to spend 7 days in Seville. You would like to visit Oslo for 6 days. You want to meet a friend in Oslo between day 6 and day 11. You would like to visit Paris for 5 days. From day 11 to day 15, there is a annual show you want to attend in Paris.\n\nHere are the cities that have direct flights:\nfrom Lyon to Oslo, from Lyon to Paris, from Oslo to Paris, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Oslo.\n**Day 6-11:** Visit Oslo for 6 days.\n**Day 11:** Fly from Oslo to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Seville.\n**Day 15-21:** Visit Seville for 7 days.",
    "id": "trip_planning_example_219",
    "estimated_output_tokens": 966,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days.\n* City: Seville, Duration: 7 days.\n* City: Oslo, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 6 - 11.\n* City: Paris, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Lyon, Duration: 6 days.\n* City: Seville, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Seville] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 6 - 11).\n |- The departure day of Lyon is Day 6. The arrival day of Oslo is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Lyon to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 11 - 15).\n   |- The departure day of Oslo is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Lyon, Oslo].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Oslo to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Lyon, Oslo, Paris].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Paris to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Lyon, Oslo, Paris, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Oslo.\n**Day 6-11:** Visit Oslo for 6 days.\n**Day 11:** Fly from Oslo to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Seville.\n**Day 15-21:** Visit Seville for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Copenhagen**Berlin**Salzburg",
    "ground_truth_durations": "7**5**3**7",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You want to meet a friend in Berlin between day 11 and day 13. You would like to visit Barcelona for 7 days. You plan to stay in Copenhagen for 5 days. From day 7 to day 11, there is a annual show you want to attend in Copenhagen. You would like to visit Salzburg for 7 days.\n\nHere are the cities that have direct flights:\nBarcelona and Berlin, Barcelona and Copenhagen, Berlin and Salzburg, Copenhagen and Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You want to meet a friend in Berlin between day 11 and day 13. You would like to visit Barcelona for 7 days. You plan to stay in Copenhagen for 5 days. From day 7 to day 11, there is a annual show you want to attend in Copenhagen. You would like to visit Salzburg for 7 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Berlin, from Barcelona to Copenhagen, from Berlin to Salzburg, from Copenhagen to Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-7:** Arriving in Barcelona and visit Barcelona for 7 days.\n**Day 7:** Fly from Barcelona to Copenhagen.\n**Day 7-11:** Visit Copenhagen for 5 days.\n**Day 11:** Fly from Copenhagen to Berlin.\n**Day 11-13:** Visit Berlin for 3 days.\n**Day 13:** Fly from Berlin to Salzburg.\n**Day 13-19:** Visit Salzburg for 7 days.",
    "id": "trip_planning_example_220",
    "estimated_output_tokens": 966,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Barcelona, Duration: 7 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Salzburg, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 7 - 11.\n* City: Berlin, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 7 days.\n* City: Salzburg, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Salzburg] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 7 - 11).\n |- The departure day of Barcelona is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Barcelona to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 13).\n   |- The departure day of Copenhagen is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Barcelona, Copenhagen].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Copenhagen to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Barcelona, Copenhagen, Berlin].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Berlin to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Barcelona, Copenhagen, Berlin, Salzburg].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Barcelona and visit Barcelona for 7 days.\n**Day 7:** Fly from Barcelona to Copenhagen.\n**Day 7-11:** Visit Copenhagen for 5 days.\n**Day 11:** Fly from Copenhagen to Berlin.\n**Day 11-13:** Visit Berlin for 3 days.\n**Day 13:** Fly from Berlin to Salzburg.\n**Day 13-19:** Visit Salzburg for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Istanbul**Nice**Mykonos",
    "ground_truth_durations": "3**6**4**4",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 3,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Krakow",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. From day 1 to day 3, there is a annual show you want to attend in Krakow. You would like to visit Nice for 4 days. You would like to visit Mykonos for 4 days. You want to spend 6 days in Istanbul. During day 3 and day 8, you have to attend a conference in Istanbul.\n\nHere are the cities that have direct flights:\nNice and Mykonos, Istanbul and Nice, Krakow and Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. From day 1 to day 3, there is a annual show you want to attend in Krakow. You would like to visit Nice for 4 days. You would like to visit Mykonos for 4 days. You want to spend 6 days in Istanbul. During day 3 and day 8, you have to attend a conference in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Nice to Mykonos, from Istanbul to Nice, from Krakow to Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Istanbul.\n**Day 3-8:** Visit Istanbul for 6 days.\n**Day 8:** Fly from Istanbul to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_221",
    "estimated_output_tokens": 952,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Istanbul, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Fixed Schedule: Day 3 - 8.\n\nCities needing arrangement:\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 8).\n |- The departure day of Krakow is Day 3. The arrival day of Istanbul is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Krakow to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Krakow, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Mykonos] and explore these options in order.\n     |- Try arranging to visit Nice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Istanbul to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Istanbul, Nice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Krakow, Istanbul, Nice, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Istanbul.\n**Day 3-8:** Visit Istanbul for 6 days.\n**Day 8:** Fly from Istanbul to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Valencia**Athens**Santorini",
    "ground_truth_durations": "7**6**7**6",
    "num_cities": 4,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Athens",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You would like to meet your friends at Valencia between day 7 and day 12 to tour together. You want to spend 6 days in Santorini. You want to spend 7 days in Athens. You want to spend 7 days in Milan.\n\nHere are the cities that have direct flights:\nMilan and Santorini, Milan and Athens, from Valencia to Athens, Milan and Valencia, Athens and Santorini.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You would like to meet your friends at Valencia between day 7 and day 12 to tour together. You want to spend 6 days in Santorini. You want to spend 7 days in Athens. You want to spend 7 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Milan to Santorini, from Milan to Athens, from Valencia to Athens, from Milan to Valencia, from Athens to Santorini.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 23 days:\n\n**Day 1-7:** Arriving in Milan and visit Milan for 7 days.\n**Day 7:** Fly from Milan to Valencia.\n**Day 7-12:** Visit Valencia for 6 days.\n**Day 12:** Fly from Valencia to Athens.\n**Day 12-18:** Visit Athens for 7 days.\n**Day 18:** Fly from Athens to Santorini.\n**Day 18-23:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_222",
    "estimated_output_tokens": 1530,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Santorini, Duration: 6 days.\n* City: Athens, Duration: 7 days.\n* City: Milan, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Santorini, Duration: 6 days.\n* City: Athens, Duration: 7 days.\n* City: Milan, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Athens, Milan] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 12).\n |- The departure day of Santorini is Day 6. The arrival day of Valencia is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Milan] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Santorini to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Santorini to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 12).\n |- The departure day of Athens is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 12).\n |- The departure day of Milan is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Milan to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Milan, Valencia].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Athens] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Valencia to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Milan, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 18. Duration: 6 days. Schedule: Day 18 - 23.\n       |- Check for direct flight from Athens to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 23. Current plan: [Milan, Valencia, Athens, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Milan and visit Milan for 7 days.\n**Day 7:** Fly from Milan to Valencia.\n**Day 7-12:** Visit Valencia for 6 days.\n**Day 12:** Fly from Valencia to Athens.\n**Day 12-18:** Visit Athens for 7 days.\n**Day 18:** Fly from Athens to Santorini.\n**Day 18-23:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Berlin**Valencia**Stuttgart",
    "ground_truth_durations": "5**4**2**7",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 7 days. You would like to meet your friends at Stuttgart between day 9 and day 15 to tour together. You would like to visit Oslo for 5 days. You want to spend 2 days in Valencia. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nBerlin and Stuttgart, Oslo and Berlin, Berlin and Valencia, Valencia and Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 7 days. You would like to meet your friends at Stuttgart between day 9 and day 15 to tour together. You would like to visit Oslo for 5 days. You want to spend 2 days in Valencia. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Stuttgart, from Oslo to Berlin, from Berlin to Valencia, from Valencia to Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_223",
    "estimated_output_tokens": 1033,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Oslo, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Valencia, Berlin] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 9 - 15).\n |- The departure day of Oslo is Day 5. The arrival day of Stuttgart is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Berlin] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 9 - 15).\n   |- The departure day of Berlin is Day 8. The arrival day of Stuttgart is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Berlin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 9 - 15).\n     |- The departure day of Valencia is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Berlin, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Valencia to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Oslo, Berlin, Valencia, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-15:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Reykjavik**Amsterdam**Santorini",
    "ground_truth_durations": "3**4**4**2",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 4 days in Reykjavik. You want to spend 4 days in Amsterdam. You plan to stay in Lisbon for 3 days. You have to attend a workshop in Lisbon between day 1 and day 3.\n\nHere are the cities that have direct flights:\nAmsterdam and Santorini, Lisbon and Amsterdam, Reykjavik and Amsterdam, Lisbon and Reykjavik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 4 days in Reykjavik. You want to spend 4 days in Amsterdam. You plan to stay in Lisbon for 3 days. You have to attend a workshop in Lisbon between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Santorini, from Lisbon to Amsterdam, from Reykjavik to Amsterdam, from Lisbon to Reykjavik.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Amsterdam.\n**Day 6-9:** Visit Amsterdam for 4 days.\n**Day 9:** Fly from Amsterdam to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_224",
    "estimated_output_tokens": 1039,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Reykjavik, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Reykjavik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Reykjavik, Amsterdam, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Amsterdam.\n**Day 6-9:** Visit Amsterdam for 4 days.\n**Day 9:** Fly from Amsterdam to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Manchester**Copenhagen**Reykjavik",
    "ground_truth_durations": "7**3**6**5",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Manchester",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Krakow",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Krakow. During day 1 and day 7, you have to attend a conference in Krakow. You would like to visit Manchester for 3 days. You would like to visit Reykjavik for 5 days. You want to spend 6 days in Copenhagen. You would like to meet your friends at Copenhagen between day 9 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Copenhagen, Manchester and Copenhagen, Copenhagen and Reykjavik, Krakow and Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Krakow. During day 1 and day 7, you have to attend a conference in Krakow. You would like to visit Manchester for 3 days. You would like to visit Reykjavik for 5 days. You want to spend 6 days in Copenhagen. You would like to meet your friends at Copenhagen between day 9 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Copenhagen, from Manchester to Copenhagen, from Copenhagen to Reykjavik, from Krakow to Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Copenhagen.\n**Day 9-14:** Visit Copenhagen for 6 days.\n**Day 14:** Fly from Copenhagen to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_225",
    "estimated_output_tokens": 997,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Manchester, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Copenhagen, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 7.\n* City: Copenhagen, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 9 - 14).\n |- The departure day of Krakow is Day 7. The arrival day of Copenhagen is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Krakow to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 9 - 14).\n   |- The departure day of Manchester is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Manchester].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Manchester to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Krakow, Manchester, Copenhagen].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Copenhagen to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Krakow, Manchester, Copenhagen, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Copenhagen.\n**Day 9-14:** Visit Copenhagen for 6 days.\n**Day 14:** Fly from Copenhagen to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Krakow**Paris**Florence",
    "ground_truth_durations": "6**3**5**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Paris"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Berlin",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 5 days. You plan to stay in Krakow for 3 days. You want to spend 5 days in Florence. You plan to stay in Berlin for 6 days. During day 1 and day 6, you have to attend a conference in Berlin.\n\nHere are the cities that have direct flights:\nKrakow and Paris, Paris and Florence, Berlin and Paris, Berlin and Krakow.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 5 days. You plan to stay in Krakow for 3 days. You want to spend 5 days in Florence. You plan to stay in Berlin for 6 days. During day 1 and day 6, you have to attend a conference in Berlin.\n\nHere are the cities that have direct flights:\nfrom Krakow to Paris, from Paris to Florence, from Berlin to Paris, from Berlin to Krakow.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Krakow.\n**Day 6-8:** Visit Krakow for 3 days.\n**Day 8:** Fly from Krakow to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Florence.\n**Day 12-16:** Visit Florence for 5 days.",
    "id": "trip_planning_example_226",
    "estimated_output_tokens": 1325,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Berlin, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Paris, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Krakow, Florence] and explore these options in order.\n   |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Berlin to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Berlin, Paris].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Florence] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Paris to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Berlin, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Florence to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Berlin to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Florence] and explore these options in order.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, Krakow, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Paris to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Berlin, Krakow, Paris, Florence].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Krakow.\n**Day 6-8:** Visit Krakow for 3 days.\n**Day 8:** Fly from Krakow to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Florence.\n**Day 12-16:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Vienna**Dublin**Tallinn",
    "ground_truth_durations": "6**5**7**4",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vienna",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Vilnius for 6 days. You plan to visit relatives in Vilnius between day 1 and day 6. You want to spend 5 days in Vienna. You plan to stay in Dublin for 7 days.\n\nHere are the cities that have direct flights:\nDublin and Tallinn, Vilnius and Vienna, from Tallinn to Vilnius, Vienna and Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Vilnius for 6 days. You plan to visit relatives in Vilnius between day 1 and day 6. You want to spend 5 days in Vienna. You plan to stay in Dublin for 7 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Tallinn, from Vilnius to Vienna, from Tallinn to Vilnius, from Vienna to Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Dublin.\n**Day 10-16:** Visit Dublin for 7 days.\n**Day 16:** Fly from Dublin to Tallinn.\n**Day 16-19:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_227",
    "estimated_output_tokens": 1013,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Vilnius, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Vienna, Duration: 5 days.\n* City: Dublin, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Dublin, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Vienna, Dublin] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Vilnius, Vienna].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Dublin] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Vienna to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Vilnius, Vienna, Dublin].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n       |- Check for direct flight from Dublin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Vilnius, Vienna, Dublin, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Dublin.\n**Day 10-16:** Visit Dublin for 7 days.\n**Day 16:** Fly from Dublin to Tallinn.\n**Day 16-19:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Bucharest**London**Florence",
    "ground_truth_durations": "2**7**3**7",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 2,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "London"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "London",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You plan to stay in London for 3 days. You plan to stay in Florence for 7 days. You want to spend 7 days in Bucharest. You have to attend a workshop in Bucharest between day 2 and day 8.\n\nHere are the cities that have direct flights:\nBudapest and London, Bucharest and London, Budapest and Bucharest, London and Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You plan to stay in London for 3 days. You plan to stay in Florence for 7 days. You want to spend 7 days in Bucharest. You have to attend a workshop in Bucharest between day 2 and day 8.\n\nHere are the cities that have direct flights:\nfrom Budapest to London, from Bucharest to London, from Budapest to Bucharest, from London to Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-2:** Arriving in Budapest and visit Budapest for 2 days.\n**Day 2:** Fly from Budapest to Bucharest.\n**Day 2-8:** Visit Bucharest for 7 days.\n**Day 8:** Fly from Bucharest to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-16:** Visit Florence for 7 days.",
    "id": "trip_planning_example_228",
    "estimated_output_tokens": 933,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Florence, Duration: 7 days.\n* City: Bucharest, Duration: 7 days, Fixed Schedule: Day 2 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 2 - 8.\n\nCities needing arrangement:\n* City: Budapest, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Florence, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, London, Florence] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 2 - 8).\n |- The departure day of Budapest is Day 2. The arrival day of Bucharest is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Budapest to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Budapest, Bucharest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Florence] and explore these options in order.\n     |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Bucharest to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Bucharest, London].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from London to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Budapest, Bucharest, London, Florence].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Budapest and visit Budapest for 2 days.\n**Day 2:** Fly from Budapest to Bucharest.\n**Day 2-8:** Visit Bucharest for 7 days.\n**Day 8:** Fly from Bucharest to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-16:** Visit Florence for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Venice**London**Stockholm",
    "ground_truth_durations": "3**5**6**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "London",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You have to attend a workshop in Stockholm between day 12 and day 16. You would like to visit Venice for 5 days. You would like to visit London for 6 days. You would like to visit Rome for 3 days. You plan to visit relatives in Rome between day 1 and day 3.\n\nHere are the cities that have direct flights:\nRome and Venice, Rome and London, Venice and London, Rome and Stockholm, London and Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You have to attend a workshop in Stockholm between day 12 and day 16. You would like to visit Venice for 5 days. You would like to visit London for 6 days. You would like to visit Rome for 3 days. You plan to visit relatives in Rome between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Rome to Venice, from Rome to London, from Venice to London, from Rome to Stockholm, from London to Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to London.\n**Day 7-12:** Visit London for 6 days.\n**Day 12:** Fly from London to Stockholm.\n**Day 12-16:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_229",
    "estimated_output_tokens": 993,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Venice, Duration: 5 days.\n* City: London, Duration: 6 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 3.\n* City: Stockholm, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: London, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 12 - 16).\n |- The departure day of Rome is Day 3. The arrival day of Stockholm is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, London] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Rome to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 12 - 16).\n   |- The departure day of Venice is Day 7. The arrival day of Stockholm is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n     |- Try arranging to visit London from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Venice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 12 - 16).\n     |- The departure day of London is Day 12. The arrival day of Stockholm is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Rome, Venice, London].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from London to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Rome, Venice, London, Stockholm].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to London.\n**Day 7-12:** Visit London for 6 days.\n**Day 12:** Fly from London to Stockholm.\n**Day 12-16:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Riga**Stockholm**Tallinn",
    "ground_truth_durations": "2**3**2**7",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 7 days. You would like to meet your friends at Tallinn between day 5 and day 11 to tour together. You would like to visit Edinburgh for 2 days. You want to spend 3 days in Riga. During day 2 and day 4, you have to attend a conference in Riga. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nRiga and Stockholm, Stockholm and Tallinn, Edinburgh and Stockholm, from Riga to Tallinn, Edinburgh and Riga.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 7 days. You would like to meet your friends at Tallinn between day 5 and day 11 to tour together. You would like to visit Edinburgh for 2 days. You want to spend 3 days in Riga. During day 2 and day 4, you have to attend a conference in Riga. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Riga to Stockholm, from Stockholm to Tallinn, from Edinburgh to Stockholm, from Riga to Tallinn, from Edinburgh to Riga.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Tallinn.\n**Day 5-11:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_230",
    "estimated_output_tokens": 1021,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Edinburgh, Duration: 2 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Stockholm, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 4.\n* City: Tallinn, Fixed Schedule: Day 5 - 11.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Stockholm] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Edinburgh is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 5 - 11).\n   |- The departure day of Riga is Day 4. The arrival day of Tallinn is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Riga to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 5 - 11).\n     |- The departure day of Stockholm is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Riga, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n       |- Check for direct flight from Stockholm to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Riga, Stockholm, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Tallinn.\n**Day 5-11:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Nice**Athens**Santorini",
    "ground_truth_durations": "2**4**4**2",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Helsinki",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You plan to stay in Nice for 4 days. You want to meet a friend in Nice between day 2 and day 5. You plan to stay in Helsinki for 2 days. During day 1 and day 2, you have to attend a conference in Helsinki. You would like to visit Athens for 4 days.\n\nHere are the cities that have direct flights:\nNice and Athens, Athens and Santorini, Helsinki and Nice.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You plan to stay in Nice for 4 days. You want to meet a friend in Nice between day 2 and day 5. You plan to stay in Helsinki for 2 days. During day 1 and day 2, you have to attend a conference in Helsinki. You would like to visit Athens for 4 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Athens, from Athens to Santorini, from Helsinki to Nice.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Nice.\n**Day 2-5:** Visit Nice for 4 days.\n**Day 5:** Fly from Nice to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_231",
    "estimated_output_tokens": 988,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Athens, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 2.\n* City: Nice, Fixed Schedule: Day 2 - 5.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 5).\n |- The departure day of Helsinki is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Athens] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Nice to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Nice to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Nice, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Nice, Athens, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Nice.\n**Day 2-5:** Visit Nice for 4 days.\n**Day 5:** Fly from Nice to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Stockholm**Riga**Tallinn",
    "ground_truth_durations": "7**7**7**7",
    "num_cities": 4,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 13,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 7 days. You have to attend a workshop in Berlin between day 1 and day 7. You want to spend 7 days in Stockholm. You want to spend 7 days in Riga. You plan to visit relatives in Riga between day 13 and day 19. You plan to stay in Tallinn for 7 days.\n\nHere are the cities that have direct flights:\nBerlin and Stockholm, Berlin and Tallinn, Berlin and Riga, Stockholm and Tallinn, from Riga to Tallinn, Stockholm and Riga.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 7 days. You have to attend a workshop in Berlin between day 1 and day 7. You want to spend 7 days in Stockholm. You want to spend 7 days in Riga. You plan to visit relatives in Riga between day 13 and day 19. You plan to stay in Tallinn for 7 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Stockholm, from Berlin to Tallinn, from Berlin to Riga, from Stockholm to Tallinn, from Riga to Tallinn, from Stockholm to Riga.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 25 days:\n\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Stockholm.\n**Day 7-13:** Visit Stockholm for 7 days.\n**Day 13:** Fly from Stockholm to Riga.\n**Day 13-19:** Visit Riga for 7 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-25:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_232",
    "estimated_output_tokens": 978,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Stockholm, Duration: 7 days.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 13 - 19.\n* City: Tallinn, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 7.\n* City: Riga, Fixed Schedule: Day 13 - 19.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 7 days.\n* City: Tallinn, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 13 - 19).\n |- The departure day of Berlin is Day 7. The arrival day of Riga is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Berlin to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 13 - 19).\n   |- The departure day of Stockholm is Day 13. The arrival day of Riga is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Berlin, Stockholm].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n     |- Check for direct flight from Stockholm to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 19. Current plan: [Berlin, Stockholm, Riga].\n      |- Check whether the city with an arrival day of Day 19 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 19. Duration: 7 days. Schedule: Day 19 - 25.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 25. Current plan: [Berlin, Stockholm, Riga, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Stockholm.\n**Day 7-13:** Visit Stockholm for 7 days.\n**Day 13:** Fly from Stockholm to Riga.\n**Day 13-19:** Visit Riga for 7 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-25:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Amsterdam**Venice**Munich",
    "ground_truth_durations": "5**4**2**7",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Munich"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Venice",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Split. You plan to stay in Munich for 7 days. You would like to visit Amsterdam for 4 days. From day 5 to day 8, there is a annual show you want to attend in Amsterdam. You would like to visit Venice for 2 days. During day 8 and day 9, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nSplit and Munich, Amsterdam and Venice, Split and Amsterdam, Amsterdam and Munich, Venice and Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Split. You plan to stay in Munich for 7 days. You would like to visit Amsterdam for 4 days. From day 5 to day 8, there is a annual show you want to attend in Amsterdam. You would like to visit Venice for 2 days. During day 8 and day 9, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nfrom Split to Munich, from Amsterdam to Venice, from Split to Amsterdam, from Amsterdam to Munich, from Venice to Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Munich.\n**Day 9-15:** Visit Munich for 7 days.",
    "id": "trip_planning_example_233",
    "estimated_output_tokens": 954,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days.\n* City: Munich, Duration: 7 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 5 - 8.\n* City: Venice, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Munich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Munich] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 8).\n |- The departure day of Split is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Amsterdam, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n       |- Try arranging to visit Munich from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Venice to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Split, Amsterdam, Venice, Munich].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Munich.\n**Day 9-15:** Visit Munich for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Frankfurt**Dublin**Santorini",
    "ground_truth_durations": "6**4**2**2",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dublin. You are going to attend a wedding in Dublin between day 9 and day 10. You want to spend 6 days in Vilnius. You would like to visit Frankfurt for 4 days. You want to spend 2 days in Santorini. You plan to visit relatives in Santorini between day 10 and day 11.\n\nHere are the cities that have direct flights:\nFrankfurt and Dublin, Vilnius and Frankfurt, Dublin and Santorini.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dublin. You are going to attend a wedding in Dublin between day 9 and day 10. You want to spend 6 days in Vilnius. You would like to visit Frankfurt for 4 days. You want to spend 2 days in Santorini. You plan to visit relatives in Santorini between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Dublin, from Vilnius to Frankfurt, from Dublin to Santorini.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Dublin.\n**Day 9-10:** Visit Dublin for 2 days.\n**Day 10:** Fly from Dublin to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_234",
    "estimated_output_tokens": 1042,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Vilnius, Duration: 6 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 9 - 10.\n* City: Santorini, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 6 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 9 - 10).\n |- The departure day of Vilnius is Day 6. The arrival day of Dublin is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 9 - 10).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Dublin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vilnius, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Frankfurt to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 10 - 11).\n     |- The departure day of Dublin is Day 10. The arrival day of Santorini is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Frankfurt, Dublin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dublin to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Frankfurt, Dublin, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Dublin.\n**Day 9-10:** Visit Dublin for 2 days.\n**Day 10:** Fly from Dublin to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Dublin**Naples**Stuttgart",
    "ground_truth_durations": "6**2**7**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 6,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Naples"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Munich",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Naples for 7 days. You would like to meet your friends at Naples between day 7 and day 13 to tour together. You plan to stay in Stuttgart for 6 days. You want to spend 6 days in Munich. You want to spend 2 days in Dublin. You plan to visit relatives in Dublin between day 6 and day 7.\n\nHere are the cities that have direct flights:\nMunich and Naples, Dublin and Naples, Naples and Stuttgart, Munich and Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Naples for 7 days. You would like to meet your friends at Naples between day 7 and day 13 to tour together. You plan to stay in Stuttgart for 6 days. You want to spend 6 days in Munich. You want to spend 2 days in Dublin. You plan to visit relatives in Dublin between day 6 and day 7.\n\nHere are the cities that have direct flights:\nfrom Munich to Naples, from Dublin to Naples, from Naples to Stuttgart, from Munich to Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Munich and visit Munich for 6 days.\n**Day 6:** Fly from Munich to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Naples.\n**Day 7-13:** Visit Naples for 7 days.\n**Day 13:** Fly from Naples to Stuttgart.\n**Day 13-18:** Visit Stuttgart for 6 days.",
    "id": "trip_planning_example_235",
    "estimated_output_tokens": 1205,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Stuttgart, Duration: 6 days.\n* City: Munich, Duration: 6 days.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 6 - 7.\n* City: Naples, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 6 days.\n* City: Munich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Munich] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 6 - 7).\n |- The departure day of Stuttgart is Day 6. The arrival day of Dublin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Stuttgart to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 6 - 7).\n |- The departure day of Munich is Day 6. The arrival day of Dublin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Munich to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 13).\n   |- The departure day of Dublin is Day 7. The arrival day of Naples is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Dublin to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Munich, Dublin, Naples].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Naples to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Munich, Dublin, Naples, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Munich and visit Munich for 6 days.\n**Day 6:** Fly from Munich to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Naples.\n**Day 7-13:** Visit Naples for 7 days.\n**Day 13:** Fly from Naples to Stuttgart.\n**Day 13-18:** Visit Stuttgart for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Venice**Paris**Vilnius",
    "ground_truth_durations": "4**4**5**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Venice"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Lyon",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 6 days. You would like to meet your friends at Vilnius between day 11 and day 16 to tour together. You plan to stay in Lyon for 4 days. You would like to visit Venice for 4 days. From day 4 to day 7, there is a annual show you want to attend in Venice. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nLyon and Venice, Paris and Vilnius, Venice and Paris, Lyon and Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 6 days. You would like to meet your friends at Vilnius between day 11 and day 16 to tour together. You plan to stay in Lyon for 4 days. You would like to visit Venice for 4 days. From day 4 to day 7, there is a annual show you want to attend in Venice. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Venice, from Paris to Vilnius, from Venice to Paris, from Lyon to Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Paris.\n**Day 7-11:** Visit Paris for 5 days.\n**Day 11:** Fly from Paris to Vilnius.\n**Day 11-16:** Visit Vilnius for 6 days.",
    "id": "trip_planning_example_236",
    "estimated_output_tokens": 1017,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n* City: Lyon, Duration: 4 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 7.\n* City: Vilnius, Fixed Schedule: Day 11 - 16.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Paris] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 7).\n |- The departure day of Lyon is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 11 - 16).\n   |- The departure day of Venice is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n     |- Try arranging to visit Paris from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Venice to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 16).\n     |- The departure day of Paris is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lyon, Venice, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Paris to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Lyon, Venice, Paris, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Paris.\n**Day 7-11:** Visit Paris for 5 days.\n**Day 11:** Fly from Paris to Vilnius.\n**Day 11-16:** Visit Vilnius for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Hamburg**Brussels**Vilnius",
    "ground_truth_durations": "4**2**7**5",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Brussels",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 7 days. You plan to stay in Hamburg for 2 days. You would like to meet your friends at Hamburg between day 4 and day 5 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Warsaw for 4 days. You plan to visit relatives in Warsaw between day 1 and day 4.\n\nHere are the cities that have direct flights:\nWarsaw and Hamburg, Hamburg and Brussels, Warsaw and Brussels, Warsaw and Vilnius, Brussels and Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 7 days. You plan to stay in Hamburg for 2 days. You would like to meet your friends at Hamburg between day 4 and day 5 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Warsaw for 4 days. You plan to visit relatives in Warsaw between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Hamburg, from Hamburg to Brussels, from Warsaw to Brussels, from Warsaw to Vilnius, from Brussels to Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Hamburg.\n**Day 4-5:** Visit Hamburg for 2 days.\n**Day 5:** Fly from Hamburg to Brussels.\n**Day 5-11:** Visit Brussels for 7 days.\n**Day 11:** Fly from Brussels to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_237",
    "estimated_output_tokens": 940,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 7 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Vilnius, Duration: 5 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Brussels, Duration: 7 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 4 - 5).\n |- The departure day of Warsaw is Day 4. The arrival day of Hamburg is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Hamburg to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Hamburg, Brussels].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Brussels to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Hamburg, Brussels, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Hamburg.\n**Day 4-5:** Visit Hamburg for 2 days.\n**Day 5:** Fly from Hamburg to Brussels.\n**Day 5-11:** Visit Brussels for 7 days.\n**Day 11:** Fly from Brussels to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Krakow**Vienna**Hamburg",
    "ground_truth_durations": "2**5**7**3",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Lisbon",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. From day 1 to day 2, there is a annual show you want to attend in Lisbon. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 2 and day 6 to tour together. You plan to stay in Hamburg for 3 days. You want to spend 7 days in Vienna.\n\nHere are the cities that have direct flights:\nLisbon and Hamburg, Vienna and Hamburg, Krakow and Vienna, Lisbon and Vienna, Lisbon and Krakow.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. From day 1 to day 2, there is a annual show you want to attend in Lisbon. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 2 and day 6 to tour together. You plan to stay in Hamburg for 3 days. You want to spend 7 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Hamburg, from Vienna to Hamburg, from Krakow to Vienna, from Lisbon to Vienna, from Lisbon to Krakow.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-2:** Arriving in Lisbon and visit Lisbon for 2 days.\n**Day 2:** Fly from Lisbon to Krakow.\n**Day 2-6:** Visit Krakow for 5 days.\n**Day 6:** Fly from Krakow to Vienna.\n**Day 6-12:** Visit Vienna for 7 days.\n**Day 12:** Fly from Vienna to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.",
    "id": "trip_planning_example_238",
    "estimated_output_tokens": 987,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Hamburg, Duration: 3 days.\n* City: Vienna, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Fixed Schedule: Day 2 - 6.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 3 days.\n* City: Vienna, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 2 - 6).\n |- The departure day of Lisbon is Day 2. The arrival day of Krakow is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Vienna] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Krakow to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lisbon, Krakow, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Vienna to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Krakow, Vienna, Hamburg].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lisbon and visit Lisbon for 2 days.\n**Day 2:** Fly from Lisbon to Krakow.\n**Day 2-6:** Visit Krakow for 5 days.\n**Day 6:** Fly from Krakow to Vienna.\n**Day 6-12:** Visit Vienna for 7 days.\n**Day 12:** Fly from Vienna to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Vilnius**Vienna**Mykonos",
    "ground_truth_durations": "6**7**6**6",
    "num_cities": 4,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Vienna",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You would like to meet your friends at Warsaw between day 1 and day 6 to tour together. You would like to visit Vienna for 6 days. You want to spend 6 days in Mykonos. You want to spend 7 days in Vilnius.\n\nHere are the cities that have direct flights:\nWarsaw and Vilnius, Warsaw and Vienna, Vilnius and Vienna, Vienna and Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You would like to meet your friends at Warsaw between day 1 and day 6 to tour together. You would like to visit Vienna for 6 days. You want to spend 6 days in Mykonos. You want to spend 7 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Vilnius, from Warsaw to Vienna, from Vilnius to Vienna, from Vienna to Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 22 days:\n\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-17:** Visit Vienna for 6 days.\n**Day 17:** Fly from Vienna to Mykonos.\n**Day 17-22:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_239",
    "estimated_output_tokens": 1429,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Vienna, Duration: 6 days.\n* City: Mykonos, Duration: 6 days.\n* City: Vilnius, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Vienna, Duration: 6 days.\n* City: Mykonos, Duration: 6 days.\n* City: Vilnius, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos, Vilnius] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Warsaw to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Warsaw, Vienna].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Warsaw, Vienna, Mykonos].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n       |- Check for direct flight from Mykonos to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Vienna to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Warsaw to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Warsaw to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Warsaw, Vilnius].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Vilnius to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Warsaw, Vilnius, Vienna].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n       |- Check for direct flight from Vienna to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Warsaw, Vilnius, Vienna, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Vilnius.\n**Day 6-12:** Visit Vilnius for 7 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-17:** Visit Vienna for 6 days.\n**Day 17:** Fly from Vienna to Mykonos.\n**Day 17-22:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Stockholm**Berlin**Tallinn",
    "ground_truth_durations": "2**5**3**5",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You would like to visit Berlin for 3 days. During day 6 and day 8, you have to attend a conference in Berlin. You plan to stay in Tallinn for 5 days. You plan to visit relatives in Tallinn between day 8 and day 12. You plan to stay in Stockholm for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Tallinn, Prague and Tallinn, Stockholm and Tallinn, Prague and Stockholm, Stockholm and Berlin.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You would like to visit Berlin for 3 days. During day 6 and day 8, you have to attend a conference in Berlin. You plan to stay in Tallinn for 5 days. You plan to visit relatives in Tallinn between day 8 and day 12. You plan to stay in Stockholm for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Tallinn, from Prague to Tallinn, from Stockholm to Tallinn, from Prague to Stockholm, from Stockholm to Berlin.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Berlin.\n**Day 6-8:** Visit Berlin for 3 days.\n**Day 8:** Fly from Berlin to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_240",
    "estimated_output_tokens": 1004,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 2 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Stockholm, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 6 - 8.\n* City: Tallinn, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Stockholm] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 6 - 8).\n |- The departure day of Prague is Day 2. The arrival day of Berlin is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 6 - 8).\n   |- The departure day of Stockholm is Day 6. The arrival day of Berlin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 12).\n     |- The departure day of Berlin is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Stockholm, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Prague, Stockholm, Berlin, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Berlin.\n**Day 6-8:** Visit Berlin for 3 days.\n**Day 8:** Fly from Berlin to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Bucharest**Riga**Milan",
    "ground_truth_durations": "5**3**2**5",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Milan"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Lyon for 5 days. You would like to visit Bucharest for 3 days. You want to meet a friend in Bucharest between day 5 and day 7. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nRiga and Milan, Lyon and Bucharest, Bucharest and Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Lyon for 5 days. You would like to visit Bucharest for 3 days. You want to meet a friend in Bucharest between day 5 and day 7. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Milan, from Lyon to Bucharest, from Bucharest to Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-8:** Visit Riga for 2 days.\n**Day 8:** Fly from Riga to Milan.\n**Day 8-12:** Visit Milan for 5 days.",
    "id": "trip_planning_example_241",
    "estimated_output_tokens": 1308,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Milan, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Lyon, Milan] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Riga is Day 2. The arrival day of Bucharest is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Milan] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 5 - 7).\n   |- The departure day of Milan is Day 6. The arrival day of Bucharest is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Lyon is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Bucharest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Milan] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Bucharest to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Bucharest, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n       |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Riga to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Bucharest, Riga, Milan].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-8:** Visit Riga for 2 days.\n**Day 8:** Fly from Riga to Milan.\n**Day 8-12:** Visit Milan for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Copenhagen**Vienna**Lyon",
    "ground_truth_durations": "2**2**3**5",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Barcelona",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 2 days. You would like to meet your friends at Barcelona between day 1 and day 2 to tour together. You plan to stay in Copenhagen for 2 days. You plan to stay in Vienna for 3 days. You would like to visit Lyon for 5 days. You have to attend a workshop in Lyon between day 5 and day 9.\n\nHere are the cities that have direct flights:\nCopenhagen and Vienna, Vienna and Lyon, Barcelona and Copenhagen, Barcelona and Lyon, Barcelona and Vienna.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 2 days. You would like to meet your friends at Barcelona between day 1 and day 2 to tour together. You plan to stay in Copenhagen for 2 days. You plan to stay in Vienna for 3 days. You would like to visit Lyon for 5 days. You have to attend a workshop in Lyon between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Vienna, from Vienna to Lyon, from Barcelona to Copenhagen, from Barcelona to Lyon, from Barcelona to Vienna.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Copenhagen.\n**Day 2-3:** Visit Copenhagen for 2 days.\n**Day 3:** Fly from Copenhagen to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_242",
    "estimated_output_tokens": 994,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Copenhagen, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Lyon, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 9).\n |- The departure day of Barcelona is Day 2. The arrival day of Lyon is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vienna] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 5 - 9).\n   |- The departure day of Copenhagen is Day 3. The arrival day of Lyon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Copenhagen].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Copenhagen to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n     |- The departure day of Vienna is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Copenhagen, Vienna].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Vienna to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Copenhagen, Vienna, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Copenhagen.\n**Day 2-3:** Visit Copenhagen for 2 days.\n**Day 3:** Fly from Copenhagen to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Barcelona**Seville",
    "ground_truth_durations": "6**2**2**4",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 4 days. You plan to stay in Venice for 2 days. You want to meet a friend in Venice between day 6 and day 7. You plan to stay in Berlin for 6 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Barcelona, Berlin and Venice, Berlin and Barcelona, Barcelona and Seville.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 4 days. You plan to stay in Venice for 2 days. You want to meet a friend in Venice between day 6 and day 7. You plan to stay in Berlin for 6 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Barcelona, from Berlin to Venice, from Berlin to Barcelona, from Barcelona to Seville.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Seville.\n**Day 8-11:** Visit Seville for 4 days.",
    "id": "trip_planning_example_243",
    "estimated_output_tokens": 1264,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Berlin, Duration: 6 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 6 - 7.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Berlin, Duration: 6 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Berlin, Barcelona] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 7).\n |- The departure day of Seville is Day 4. The arrival day of Venice is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Barcelona] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Seville to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Seville to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 7).\n |- The departure day of Berlin is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona] and explore these options in order.\n     |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Venice, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Venice, Barcelona, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Seville.\n**Day 8-11:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Zurich**Krakow**Split",
    "ground_truth_durations": "6**7**7**4",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 18,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Zurich",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Porto. You have to attend a workshop in Porto between day 1 and day 6. You want to spend 7 days in Zurich. You would like to visit Krakow for 7 days. You would like to visit Split for 4 days. You plan to visit relatives in Split between day 18 and day 21.\n\nHere are the cities that have direct flights:\nKrakow and Split, Zurich and Split, Porto and Zurich, Zurich and Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Porto. You have to attend a workshop in Porto between day 1 and day 6. You want to spend 7 days in Zurich. You would like to visit Krakow for 7 days. You would like to visit Split for 4 days. You plan to visit relatives in Split between day 18 and day 21.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Zurich to Split, from Porto to Zurich, from Zurich to Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Zurich.\n**Day 6-12:** Visit Zurich for 7 days.\n**Day 12:** Fly from Zurich to Krakow.\n**Day 12-18:** Visit Krakow for 7 days.\n**Day 18:** Fly from Krakow to Split.\n**Day 18-21:** Visit Split for 4 days.",
    "id": "trip_planning_example_244",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Zurich, Duration: 7 days.\n* City: Krakow, Duration: 7 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 6.\n* City: Split, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Zurich, Duration: 7 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 18 - 21).\n |- The departure day of Porto is Day 6. The arrival day of Split is Day 18. Day 6 is not later than (<=) Day 18. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Krakow] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Porto to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 18 - 21).\n   |- The departure day of Zurich is Day 12. The arrival day of Split is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Porto, Zurich].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Zurich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 18 - 21).\n     |- The departure day of Krakow is Day 18. The arrival day of Split is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Porto, Zurich, Krakow].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- Yes. The city with an arrival day of Day 18 - is fixed: Split.\n       |- Try arranging to visit Split from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n       |- Check for direct flight from Krakow to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Porto, Zurich, Krakow, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Zurich.\n**Day 6-12:** Visit Zurich for 7 days.\n**Day 12:** Fly from Zurich to Krakow.\n**Day 12-18:** Visit Krakow for 7 days.\n**Day 18:** Fly from Krakow to Split.\n**Day 18-21:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Munich**Tallinn**Vilnius",
    "ground_truth_durations": "2**7**3**5",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Munich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 2 days. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 10 and day 14 to tour together. You plan to stay in Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 7 days in Munich.\n\nHere are the cities that have direct flights:\nManchester and Munich, from Tallinn to Vilnius, from Vilnius to Munich, Munich and Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 2 days. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 10 and day 14 to tour together. You plan to stay in Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 7 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Manchester to Munich, from Tallinn to Vilnius, from Vilnius to Munich, from Munich to Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Munich.\n**Day 2-8:** Visit Munich for 7 days.\n**Day 8:** Fly from Munich to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_245",
    "estimated_output_tokens": 1026,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Munich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 8 - 10.\n* City: Vilnius, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Munich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Munich] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 10).\n |- The departure day of Manchester is Day 2. The arrival day of Tallinn is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Manchester to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 8 - 10).\n   |- The departure day of Munich is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 14).\n     |- The departure day of Tallinn is Day 10. The arrival day of Vilnius is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Manchester, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Manchester, Munich, Tallinn, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Munich.\n**Day 2-8:** Visit Munich for 7 days.\n**Day 8:** Fly from Munich to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Edinburgh**Brussels**Tallinn",
    "ground_truth_durations": "7**2**7**3",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Venice",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You would like to meet your friends at Edinburgh between day 7 and day 8 to tour together. You plan to stay in Brussels for 7 days. From day 8 to day 14, there is a annual show you want to attend in Brussels. You would like to visit Tallinn for 3 days. You plan to stay in Venice for 7 days.\n\nHere are the cities that have direct flights:\nVenice and Brussels, Edinburgh and Brussels, Brussels and Tallinn, Venice and Edinburgh.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You would like to meet your friends at Edinburgh between day 7 and day 8 to tour together. You plan to stay in Brussels for 7 days. From day 8 to day 14, there is a annual show you want to attend in Brussels. You would like to visit Tallinn for 3 days. You plan to stay in Venice for 7 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Brussels, from Edinburgh to Brussels, from Brussels to Tallinn, from Venice to Edinburgh.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Brussels.\n**Day 8-14:** Visit Brussels for 7 days.\n**Day 14:** Fly from Brussels to Tallinn.\n**Day 14-16:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_246",
    "estimated_output_tokens": 1218,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Brussels, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Tallinn, Duration: 3 days.\n* City: Venice, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 7 - 8.\n* City: Brussels, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Venice, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Venice] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 7 - 8).\n |- The departure day of Tallinn is Day 3. The arrival day of Edinburgh is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Tallinn to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 7 - 8).\n |- The departure day of Venice is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Venice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 8 - 14).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Brussels is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Edinburgh to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Venice, Edinburgh, Brussels].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Brussels to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Venice, Edinburgh, Brussels, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Brussels.\n**Day 8-14:** Visit Brussels for 7 days.\n**Day 14:** Fly from Brussels to Tallinn.\n**Day 14-16:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Dubrovnik**Istanbul**Riga",
    "ground_truth_durations": "2**2**5**6",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You plan to stay in Geneva for 2 days. You plan to stay in Riga for 6 days. You want to spend 2 days in Dubrovnik. From day 2 to day 3, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nGeneva and Dubrovnik, Istanbul and Riga, Geneva and Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You plan to stay in Geneva for 2 days. You plan to stay in Riga for 6 days. You want to spend 2 days in Dubrovnik. From day 2 to day 3, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Geneva to Dubrovnik, from Istanbul to Riga, from Geneva to Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Dubrovnik.\n**Day 2-3:** Visit Dubrovnik for 2 days.\n**Day 3:** Fly from Dubrovnik to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Riga.\n**Day 7-12:** Visit Riga for 6 days.",
    "id": "trip_planning_example_247",
    "estimated_output_tokens": 1065,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Riga, Duration: 6 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 2 - 3.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Riga, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Geneva, Riga] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 3).\n |- The departure day of Istanbul is Day 5. The arrival day of Dubrovnik is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 3).\n |- The departure day of Geneva is Day 2. The arrival day of Dubrovnik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Geneva, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Dubrovnik to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Dubrovnik, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n       |- Check for direct flight from Istanbul to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Geneva, Dubrovnik, Istanbul, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Dubrovnik.\n**Day 2-3:** Visit Dubrovnik for 2 days.\n**Day 3:** Fly from Dubrovnik to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Riga.\n**Day 7-12:** Visit Riga for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Dubrovnik**Munich**Warsaw",
    "ground_truth_durations": "7**4**4**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You would like to meet your friends at Dubrovnik between day 7 and day 10 to tour together. You plan to stay in Munich for 4 days. During day 10 and day 13, you have to attend a conference in Munich. You want to spend 7 days in Copenhagen. You plan to stay in Warsaw for 5 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Munich, Munich and Warsaw, Copenhagen and Dubrovnik, Copenhagen and Munich, Copenhagen and Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You would like to meet your friends at Dubrovnik between day 7 and day 10 to tour together. You plan to stay in Munich for 4 days. During day 10 and day 13, you have to attend a conference in Munich. You want to spend 7 days in Copenhagen. You plan to stay in Warsaw for 5 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Munich, from Munich to Warsaw, from Copenhagen to Dubrovnik, from Copenhagen to Munich, from Copenhagen to Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.",
    "id": "trip_planning_example_248",
    "estimated_output_tokens": 988,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Copenhagen, Duration: 7 days.\n* City: Warsaw, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 7 - 10.\n* City: Munich, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 7 days.\n* City: Warsaw, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Warsaw] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 7 - 10).\n |- The departure day of Copenhagen is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Copenhagen to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 10 - 13).\n   |- The departure day of Dubrovnik is Day 10. The arrival day of Munich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Copenhagen, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Dubrovnik to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Copenhagen, Dubrovnik, Munich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Munich to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Copenhagen, Dubrovnik, Munich, Warsaw].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Krakow**Zurich**Venice",
    "ground_truth_durations": "5**5**7**4",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Warsaw",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You want to spend 5 days in Krakow. During day 5 and day 9, you have to attend a conference in Krakow. You would like to visit Zurich for 7 days. You have to attend a workshop in Zurich between day 9 and day 15. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nKrakow and Zurich, Warsaw and Venice, Zurich and Venice, Warsaw and Zurich, Warsaw and Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You want to spend 5 days in Krakow. During day 5 and day 9, you have to attend a conference in Krakow. You would like to visit Zurich for 7 days. You have to attend a workshop in Zurich between day 9 and day 15. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Zurich, from Warsaw to Venice, from Zurich to Venice, from Warsaw to Zurich, from Warsaw to Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Zurich.\n**Day 9-15:** Visit Zurich for 7 days.\n**Day 15:** Fly from Zurich to Venice.\n**Day 15-18:** Visit Venice for 4 days.",
    "id": "trip_planning_example_249",
    "estimated_output_tokens": 973,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Zurich, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 5 - 9.\n* City: Zurich, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Venice] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Warsaw is Day 5. The arrival day of Krakow is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Zurich (Day 9 - 15).\n   |- The departure day of Krakow is Day 9. The arrival day of Zurich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Warsaw, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Krakow to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Warsaw, Krakow, Zurich].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n       |- Check for direct flight from Zurich to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Warsaw, Krakow, Zurich, Venice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Zurich.\n**Day 9-15:** Visit Zurich for 7 days.\n**Day 15:** Fly from Zurich to Venice.\n**Day 15-18:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Copenhagen**Lisbon**Valencia",
    "ground_truth_durations": "5**3**5**5",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You would like to meet your friends at Valencia between day 11 and day 15 to tour together. You plan to stay in Split for 5 days. You want to spend 5 days in Lisbon. During day 7 and day 11, you have to attend a conference in Lisbon. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nCopenhagen and Valencia, Lisbon and Valencia, Split and Copenhagen, Copenhagen and Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You would like to meet your friends at Valencia between day 11 and day 15 to tour together. You plan to stay in Split for 5 days. You want to spend 5 days in Lisbon. During day 7 and day 11, you have to attend a conference in Lisbon. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Valencia, from Lisbon to Valencia, from Split to Copenhagen, from Copenhagen to Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Lisbon.\n**Day 7-11:** Visit Lisbon for 5 days.\n**Day 11:** Fly from Lisbon to Valencia.\n**Day 11-15:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_250",
    "estimated_output_tokens": 989,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Split, Duration: 5 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 7 - 11.\n* City: Valencia, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Copenhagen] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 7 - 11).\n |- The departure day of Split is Day 5. The arrival day of Lisbon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Lisbon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 11 - 15).\n     |- The departure day of Lisbon is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Copenhagen, Lisbon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lisbon to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Split, Copenhagen, Lisbon, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Lisbon.\n**Day 7-11:** Visit Lisbon for 5 days.\n**Day 11:** Fly from Lisbon to Valencia.\n**Day 11-15:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Nice**Warsaw**Vilnius",
    "ground_truth_durations": "5**7**4**4",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Nice",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Nice. You are going to attend a wedding in Nice between day 5 and day 11. You want to spend 5 days in Mykonos. You plan to stay in Vilnius for 4 days. During day 14 and day 17, you have to attend a conference in Vilnius. You would like to visit Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Vilnius, Mykonos and Nice, Nice and Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Nice. You are going to attend a wedding in Nice between day 5 and day 11. You want to spend 5 days in Mykonos. You plan to stay in Vilnius for 4 days. During day 14 and day 17, you have to attend a conference in Vilnius. You would like to visit Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Vilnius, from Mykonos to Nice, from Nice to Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-11:** Visit Nice for 7 days.\n**Day 11:** Fly from Nice to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.\n**Day 14:** Fly from Warsaw to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_251",
    "estimated_output_tokens": 1041,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Mykonos, Duration: 5 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Warsaw, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 5 - 11.\n* City: Vilnius, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Warsaw] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 5 - 11).\n |- The departure day of Mykonos is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Mykonos to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 14 - 17).\n   |- The departure day of Nice is Day 11. The arrival day of Vilnius is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Mykonos, Nice].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Nice to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 14 - 17).\n     |- The departure day of Warsaw is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Mykonos, Nice, Warsaw].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Mykonos, Nice, Warsaw, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-11:** Visit Nice for 7 days.\n**Day 11:** Fly from Nice to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.\n**Day 14:** Fly from Warsaw to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Zurich**Paris**Valencia",
    "ground_truth_durations": "6**5**2**2",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Paris"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 10 and day 11. You want to spend 5 days in Zurich. You would like to visit Dubrovnik for 6 days. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nZurich and Paris, Zurich and Valencia, Paris and Valencia, Dubrovnik and Zurich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 10 and day 11. You want to spend 5 days in Zurich. You would like to visit Dubrovnik for 6 days. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Paris, from Zurich to Valencia, from Paris to Valencia, from Dubrovnik to Zurich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_252",
    "estimated_output_tokens": 1489,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Zurich, Duration: 5 days.\n* City: Dubrovnik, Duration: 6 days.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Dubrovnik, Duration: 6 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik, Valencia] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 10 - 11).\n |- The departure day of Zurich is Day 5. The arrival day of Paris is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Valencia] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Zurich to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Zurich to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 10 - 11).\n   |- The departure day of Valencia is Day 6. The arrival day of Paris is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 10 - 11).\n |- The departure day of Dubrovnik is Day 6. The arrival day of Paris is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Valencia] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Dubrovnik to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 10 - 11).\n   |- The departure day of Zurich is Day 10. The arrival day of Paris is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Dubrovnik, Zurich].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Zurich to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dubrovnik, Zurich, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Paris to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Zurich, Paris, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Lyon**Amsterdam**Santorini",
    "ground_truth_durations": "7**3**3**4",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Lyon",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You have to attend a workshop in Amsterdam between day 9 and day 11. You would like to visit Vienna for 7 days. You want to spend 4 days in Santorini. You want to spend 3 days in Lyon. You are going to attend a wedding in Lyon between day 7 and day 9.\n\nHere are the cities that have direct flights:\nVienna and Lyon, Vienna and Santorini, Vienna and Amsterdam, Amsterdam and Santorini, Lyon and Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You have to attend a workshop in Amsterdam between day 9 and day 11. You would like to visit Vienna for 7 days. You want to spend 4 days in Santorini. You want to spend 3 days in Lyon. You are going to attend a wedding in Lyon between day 7 and day 9.\n\nHere are the cities that have direct flights:\nfrom Vienna to Lyon, from Vienna to Santorini, from Vienna to Amsterdam, from Amsterdam to Santorini, from Lyon to Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-7:** Arriving in Vienna and visit Vienna for 7 days.\n**Day 7:** Fly from Vienna to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Amsterdam.\n**Day 9-11:** Visit Amsterdam for 3 days.\n**Day 11:** Fly from Amsterdam to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_253",
    "estimated_output_tokens": 975,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Vienna, Duration: 7 days.\n* City: Santorini, Duration: 4 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 7 - 9.\n* City: Amsterdam, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Vienna, Duration: 7 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Santorini] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 9).\n |- The departure day of Vienna is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Vienna to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 9 - 11).\n   |- The departure day of Lyon is Day 9. The arrival day of Amsterdam is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Lyon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Lyon to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vienna, Lyon, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vienna, Lyon, Amsterdam, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Vienna and visit Vienna for 7 days.\n**Day 7:** Fly from Vienna to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Amsterdam.\n**Day 9-11:** Visit Amsterdam for 3 days.\n**Day 11:** Fly from Amsterdam to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Berlin**Split**Stockholm",
    "ground_truth_durations": "2**3**7**5",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Split",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You plan to stay in Stockholm for 5 days. You want to meet a friend in Stockholm between day 10 and day 14. You plan to stay in Tallinn for 2 days. You want to spend 7 days in Split. From day 4 to day 10, there is a annual show you want to attend in Split.\n\nHere are the cities that have direct flights:\nTallinn and Stockholm, Berlin and Stockholm, Tallinn and Berlin, Berlin and Split, Split and Stockholm.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You plan to stay in Stockholm for 5 days. You want to meet a friend in Stockholm between day 10 and day 14. You plan to stay in Tallinn for 2 days. You want to spend 7 days in Split. From day 4 to day 10, there is a annual show you want to attend in Split.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Stockholm, from Berlin to Stockholm, from Tallinn to Berlin, from Berlin to Split, from Split to Stockholm.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Split.\n**Day 4-10:** Visit Split for 7 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_254",
    "estimated_output_tokens": 1254,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Tallinn, Duration: 2 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 10.\n* City: Stockholm, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Tallinn] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 10).\n |- The departure day of Berlin is Day 3. The arrival day of Split is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 10).\n |- The departure day of Tallinn is Day 2. The arrival day of Split is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 4 - 10).\n   |- The departure day of Berlin is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n     |- Try arranging to visit Split from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Berlin to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 14).\n     |- The departure day of Split is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Tallinn, Berlin, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Split to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Tallinn, Berlin, Split, Stockholm].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Split.\n**Day 4-10:** Visit Split for 7 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Dubrovnik**Vienna**Mykonos",
    "ground_truth_durations": "2**7**5**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 12,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. You want to spend 6 days in Mykonos. You would like to meet your friends at Mykonos between day 12 and day 17 to tour together. You plan to stay in Stockholm for 2 days. During day 1 and day 2, you have to attend a conference in Stockholm. You would like to visit Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Vienna, Stockholm and Vienna, Vienna and Mykonos, Stockholm and Dubrovnik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. You want to spend 6 days in Mykonos. You would like to meet your friends at Mykonos between day 12 and day 17 to tour together. You plan to stay in Stockholm for 2 days. During day 1 and day 2, you have to attend a conference in Stockholm. You would like to visit Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Vienna, from Stockholm to Vienna, from Vienna to Mykonos, from Stockholm to Dubrovnik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dubrovnik.\n**Day 2-8:** Visit Dubrovnik for 7 days.\n**Day 8:** Fly from Dubrovnik to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Mykonos.\n**Day 12-17:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_255",
    "estimated_output_tokens": 1309,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days.\n* City: Mykonos, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 2.\n* City: Mykonos, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 12 - 17).\n |- The departure day of Stockholm is Day 2. The arrival day of Mykonos is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 12 - 17).\n   |- The departure day of Vienna is Day 6. The arrival day of Mykonos is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Vienna to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 12 - 17).\n   |- The departure day of Dubrovnik is Day 8. The arrival day of Mykonos is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Dubrovnik to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 12 - 17).\n     |- The departure day of Vienna is Day 12. The arrival day of Mykonos is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stockholm, Dubrovnik, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Vienna to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Stockholm, Dubrovnik, Vienna, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dubrovnik.\n**Day 2-8:** Visit Dubrovnik for 7 days.\n**Day 8:** Fly from Dubrovnik to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Mykonos.\n**Day 12-17:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Helsinki**Krakow**Vilnius",
    "ground_truth_durations": "6**6**3**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You plan to stay in Vilnius for 5 days. You would like to visit Hamburg for 6 days. You want to spend 6 days in Helsinki. You plan to visit relatives in Helsinki between day 6 and day 11.\n\nHere are the cities that have direct flights:\nHelsinki and Krakow, Helsinki and Vilnius, from Krakow to Vilnius, Hamburg and Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You plan to stay in Vilnius for 5 days. You would like to visit Hamburg for 6 days. You want to spend 6 days in Helsinki. You plan to visit relatives in Helsinki between day 6 and day 11.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Krakow, from Helsinki to Vilnius, from Krakow to Vilnius, from Hamburg to Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-6:** Arriving in Hamburg and visit Hamburg for 6 days.\n**Day 6:** Fly from Hamburg to Helsinki.\n**Day 6-11:** Visit Helsinki for 6 days.\n**Day 11:** Fly from Helsinki to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_256",
    "estimated_output_tokens": 1630,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Hamburg, Duration: 6 days.\n* City: Helsinki, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Hamburg, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Hamburg] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 11).\n |- The departure day of Krakow is Day 3. The arrival day of Helsinki is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 6 - 11).\n   |- The departure day of Vilnius is Day 7. The arrival day of Helsinki is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Krakow to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 11).\n |- The departure day of Vilnius is Day 5. The arrival day of Helsinki is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Hamburg] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Vilnius to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 11).\n |- The departure day of Hamburg is Day 6. The arrival day of Helsinki is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Hamburg to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Hamburg, Helsinki].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Hamburg, Helsinki, Krakow].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Hamburg, Helsinki, Krakow, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Hamburg and visit Hamburg for 6 days.\n**Day 6:** Fly from Hamburg to Helsinki.\n**Day 6-11:** Visit Helsinki for 6 days.\n**Day 11:** Fly from Helsinki to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Santorini**Amsterdam**Split",
    "ground_truth_durations": "4**6**7**7",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 9,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 4 days. You would like to visit Split for 7 days. You want to spend 6 days in Santorini. You plan to visit relatives in Santorini between day 4 and day 9. You would like to visit Amsterdam for 7 days. You would like to meet your friends at Amsterdam between day 9 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nAmsterdam and Split, Barcelona and Santorini, Barcelona and Amsterdam, Santorini and Amsterdam, Barcelona and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 4 days. You would like to visit Split for 7 days. You want to spend 6 days in Santorini. You plan to visit relatives in Santorini between day 4 and day 9. You would like to visit Amsterdam for 7 days. You would like to meet your friends at Amsterdam between day 9 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Split, from Barcelona to Santorini, from Barcelona to Amsterdam, from Santorini to Amsterdam, from Barcelona to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Santorini.\n**Day 4-9:** Visit Santorini for 6 days.\n**Day 9:** Fly from Santorini to Amsterdam.\n**Day 9-15:** Visit Amsterdam for 7 days.\n**Day 15:** Fly from Amsterdam to Split.\n**Day 15-21:** Visit Split for 7 days.",
    "id": "trip_planning_example_257",
    "estimated_output_tokens": 987,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Split, Duration: 7 days.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Amsterdam, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 4 - 9.\n* City: Amsterdam, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Split] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 9).\n |- The departure day of Barcelona is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Barcelona to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 9 - 15).\n   |- The departure day of Santorini is Day 9. The arrival day of Amsterdam is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Barcelona, Santorini].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Santorini to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Barcelona, Santorini, Amsterdam].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Amsterdam to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Barcelona, Santorini, Amsterdam, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Santorini.\n**Day 4-9:** Visit Santorini for 6 days.\n**Day 9:** Fly from Santorini to Amsterdam.\n**Day 9-15:** Visit Amsterdam for 7 days.\n**Day 15:** Fly from Amsterdam to Split.\n**Day 15-21:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Istanbul**Stockholm**Stuttgart",
    "ground_truth_durations": "7**4**3**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 4 days. You want to spend 7 days in Naples. You would like to visit Stuttgart for 6 days. You have to attend a workshop in Stuttgart between day 12 and day 17. You would like to visit Stockholm for 3 days. From day 10 to day 12, there is a annual show you want to attend in Stockholm.\n\nHere are the cities that have direct flights:\nNaples and Istanbul, Istanbul and Stuttgart, Naples and Stuttgart, Stockholm and Stuttgart, Istanbul and Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 4 days. You want to spend 7 days in Naples. You would like to visit Stuttgart for 6 days. You have to attend a workshop in Stuttgart between day 12 and day 17. You would like to visit Stockholm for 3 days. From day 10 to day 12, there is a annual show you want to attend in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Naples to Istanbul, from Istanbul to Stuttgart, from Naples to Stuttgart, from Stockholm to Stuttgart, from Istanbul to Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-7:** Arriving in Naples and visit Naples for 7 days.\n**Day 7:** Fly from Naples to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Stockholm.\n**Day 10-12:** Visit Stockholm for 3 days.\n**Day 12:** Fly from Stockholm to Stuttgart.\n**Day 12-17:** Visit Stuttgart for 6 days.",
    "id": "trip_planning_example_258",
    "estimated_output_tokens": 1245,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days.\n* City: Naples, Duration: 7 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 10 - 12.\n* City: Stuttgart, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 4 days.\n* City: Naples, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Naples] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 10 - 12).\n |- The departure day of Istanbul is Day 4. The arrival day of Stockholm is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n   |- Try arranging to visit Naples from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Istanbul to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 10 - 12).\n |- The departure day of Naples is Day 7. The arrival day of Stockholm is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Naples to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 10 - 12).\n   |- The departure day of Istanbul is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Naples, Istanbul].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Istanbul to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 12 - 17).\n     |- The departure day of Stockholm is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Istanbul, Stockholm].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Stockholm to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Naples, Istanbul, Stockholm, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Naples and visit Naples for 7 days.\n**Day 7:** Fly from Naples to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Stockholm.\n**Day 10-12:** Visit Stockholm for 3 days.\n**Day 12:** Fly from Stockholm to Stuttgart.\n**Day 12-17:** Visit Stuttgart for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Athens**Stuttgart**Porto",
    "ground_truth_durations": "5**2**6**5",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Stuttgart",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You would like to visit Vilnius for 5 days. You plan to stay in Athens for 2 days. You plan to stay in Stuttgart for 6 days. You want to meet a friend in Stuttgart between day 6 and day 11.\n\nHere are the cities that have direct flights:\nAthens and Stuttgart, Vilnius and Athens, Stuttgart and Porto.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You would like to visit Vilnius for 5 days. You plan to stay in Athens for 2 days. You plan to stay in Stuttgart for 6 days. You want to meet a friend in Stuttgart between day 6 and day 11.\n\nHere are the cities that have direct flights:\nfrom Athens to Stuttgart, from Vilnius to Athens, from Stuttgart to Porto.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Stuttgart.\n**Day 6-11:** Visit Stuttgart for 6 days.\n**Day 11:** Fly from Stuttgart to Porto.\n**Day 11-15:** Visit Porto for 5 days.",
    "id": "trip_planning_example_259",
    "estimated_output_tokens": 1327,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Vilnius, Athens] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 11).\n |- The departure day of Porto is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Athens] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Porto to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 11).\n |- The departure day of Vilnius is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Athens] and explore these options in order.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 11).\n   |- The departure day of Athens is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Athens to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Athens, Stuttgart].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stuttgart to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vilnius, Athens, Stuttgart, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Stuttgart.\n**Day 6-11:** Visit Stuttgart for 6 days.\n**Day 11:** Fly from Stuttgart to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Munich**Krakow**Split",
    "ground_truth_durations": "3**2**4**6",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Munich",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You want to spend 4 days in Krakow. You would like to meet your friends at Krakow between day 4 and day 7 to tour together. You would like to visit Riga for 3 days. You have to attend a workshop in Riga between day 1 and day 3. You would like to visit Split for 6 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, Munich and Krakow, Krakow and Split, Munich and Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You want to spend 4 days in Krakow. You would like to meet your friends at Krakow between day 4 and day 7 to tour together. You would like to visit Riga for 3 days. You have to attend a workshop in Riga between day 1 and day 3. You would like to visit Split for 6 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, from Munich to Krakow, from Krakow to Split, from Munich to Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Krakow.\n**Day 4-7:** Visit Krakow for 4 days.\n**Day 7:** Fly from Krakow to Split.\n**Day 7-12:** Visit Split for 6 days.",
    "id": "trip_planning_example_260",
    "estimated_output_tokens": 983,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Split, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 3.\n* City: Krakow, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 7).\n |- The departure day of Riga is Day 3. The arrival day of Krakow is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Split] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 7).\n   |- The departure day of Munich is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Munich, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n       |- Check for direct flight from Krakow to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Riga, Munich, Krakow, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Krakow.\n**Day 4-7:** Visit Krakow for 4 days.\n**Day 7:** Fly from Krakow to Split.\n**Day 7-12:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Zurich**Frankfurt**Salzburg",
    "ground_truth_durations": "2**3**2**3",
    "num_cities": 4,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. You would like to visit Frankfurt for 2 days. You would like to visit Salzburg for 3 days. You want to spend 3 days in Zurich. You have to attend a workshop in Zurich between day 2 and day 4.\n\nHere are the cities that have direct flights:\nTallinn and Zurich, Zurich and Frankfurt, Frankfurt and Salzburg, Tallinn and Frankfurt.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. You would like to visit Frankfurt for 2 days. You would like to visit Salzburg for 3 days. You want to spend 3 days in Zurich. You have to attend a workshop in Zurich between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Zurich, from Zurich to Frankfurt, from Frankfurt to Salzburg, from Tallinn to Frankfurt.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 7 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Zurich.\n**Day 2-4:** Visit Zurich for 3 days.\n**Day 4:** Fly from Zurich to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Salzburg.\n**Day 5-7:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_261",
    "estimated_output_tokens": 938,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt, Salzburg] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 4).\n |- The departure day of Tallinn is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Zurich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Zurich to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Zurich, Frankfurt].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Frankfurt to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Tallinn, Zurich, Frankfurt, Salzburg].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Zurich.\n**Day 2-4:** Visit Zurich for 3 days.\n**Day 4:** Fly from Zurich to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Salzburg.\n**Day 5-7:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Berlin**Warsaw**Vilnius",
    "ground_truth_durations": "3**5**7**3",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You plan to stay in Vilnius for 3 days. You want to meet a friend in Vilnius between day 13 and day 15. You plan to stay in Berlin for 5 days. You are going to attend a wedding in Berlin between day 3 and day 7. You would like to visit Warsaw for 7 days.\n\nHere are the cities that have direct flights:\nBerlin and Warsaw, Naples and Berlin, Berlin and Vilnius, Naples and Warsaw, Warsaw and Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You plan to stay in Vilnius for 3 days. You want to meet a friend in Vilnius between day 13 and day 15. You plan to stay in Berlin for 5 days. You are going to attend a wedding in Berlin between day 3 and day 7. You would like to visit Warsaw for 7 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Warsaw, from Naples to Berlin, from Berlin to Vilnius, from Naples to Warsaw, from Warsaw to Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Berlin.\n**Day 3-7:** Visit Berlin for 5 days.\n**Day 7:** Fly from Berlin to Warsaw.\n**Day 7-13:** Visit Warsaw for 7 days.\n**Day 13:** Fly from Warsaw to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_262",
    "estimated_output_tokens": 1023,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Warsaw, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 7.\n* City: Vilnius, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Naples, Duration: 3 days.\n* City: Warsaw, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Warsaw] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 7).\n |- The departure day of Naples is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Naples to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 13 - 15).\n   |- The departure day of Berlin is Day 7. The arrival day of Vilnius is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Naples, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Berlin to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 13 - 15).\n     |- The departure day of Warsaw is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Naples, Berlin, Warsaw].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Naples, Berlin, Warsaw, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Berlin.\n**Day 3-7:** Visit Berlin for 5 days.\n**Day 7:** Fly from Berlin to Warsaw.\n**Day 7-13:** Visit Warsaw for 7 days.\n**Day 13:** Fly from Warsaw to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Manchester**Berlin**Reykjavik",
    "ground_truth_durations": "3**6**5**2",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You would like to visit Manchester for 6 days. You plan to stay in Bucharest for 3 days. You would like to visit Berlin for 5 days. You have to attend a workshop in Berlin between day 8 and day 12.\n\nHere are the cities that have direct flights:\nManchester and Berlin, Berlin and Reykjavik, Bucharest and Manchester.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You would like to visit Manchester for 6 days. You plan to stay in Bucharest for 3 days. You would like to visit Berlin for 5 days. You have to attend a workshop in Berlin between day 8 and day 12.\n\nHere are the cities that have direct flights:\nfrom Manchester to Berlin, from Berlin to Reykjavik, from Bucharest to Manchester.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Manchester.\n**Day 3-8:** Visit Manchester for 6 days.\n**Day 8:** Fly from Manchester to Berlin.\n**Day 8-12:** Visit Berlin for 5 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-13:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_263",
    "estimated_output_tokens": 1662,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days.\n* City: Manchester, Duration: 6 days.\n* City: Bucharest, Duration: 3 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Manchester, Duration: 6 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Bucharest] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 8 - 12).\n |- The departure day of Reykjavik is Day 2. The arrival day of Berlin is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Bucharest] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Reykjavik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 8 - 12).\n |- The departure day of Manchester is Day 6. The arrival day of Berlin is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Manchester to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 8 - 12).\n |- The departure day of Bucharest is Day 3. The arrival day of Berlin is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Bucharest to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 8 - 12).\n   |- The departure day of Manchester is Day 8. The arrival day of Berlin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Manchester].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Manchester to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Bucharest, Manchester, Berlin].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Berlin to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Manchester, Berlin, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Manchester.\n**Day 3-8:** Visit Manchester for 6 days.\n**Day 8:** Fly from Manchester to Berlin.\n**Day 8-12:** Visit Berlin for 5 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-13:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Lyon**Barcelona**Copenhagen",
    "ground_truth_durations": "6**6**3**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 6,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Madrid",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 6 days. You would like to visit Barcelona for 3 days. You plan to visit relatives in Barcelona between day 11 and day 13. You would like to visit Copenhagen for 6 days. You want to spend 6 days in Lyon. From day 6 to day 11, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nMadrid and Copenhagen, Lyon and Barcelona, Madrid and Lyon, Barcelona and Copenhagen, Madrid and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 6 days. You would like to visit Barcelona for 3 days. You plan to visit relatives in Barcelona between day 11 and day 13. You would like to visit Copenhagen for 6 days. You want to spend 6 days in Lyon. From day 6 to day 11, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nfrom Madrid to Copenhagen, from Lyon to Barcelona, from Madrid to Lyon, from Barcelona to Copenhagen, from Madrid to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Lyon.\n**Day 6-11:** Visit Lyon for 6 days.\n**Day 11:** Fly from Lyon to Barcelona.\n**Day 11-13:** Visit Barcelona for 3 days.\n**Day 13:** Fly from Barcelona to Copenhagen.\n**Day 13-18:** Visit Copenhagen for 6 days.",
    "id": "trip_planning_example_264",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 6 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Copenhagen, Duration: 6 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 6 - 11.\n* City: Barcelona, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Madrid, Duration: 6 days.\n* City: Copenhagen, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Copenhagen] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 6 - 11).\n |- The departure day of Madrid is Day 6. The arrival day of Lyon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Madrid to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 11 - 13).\n   |- The departure day of Lyon is Day 11. The arrival day of Barcelona is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Madrid, Lyon].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Lyon to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Madrid, Lyon, Barcelona].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Barcelona to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Madrid, Lyon, Barcelona, Copenhagen].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Lyon.\n**Day 6-11:** Visit Lyon for 6 days.\n**Day 11:** Fly from Lyon to Barcelona.\n**Day 11-13:** Visit Barcelona for 3 days.\n**Day 13:** Fly from Barcelona to Copenhagen.\n**Day 13-18:** Visit Copenhagen for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Lyon**Brussels**Warsaw",
    "ground_truth_durations": "2**5**3**7",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Brussels",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. During day 2 and day 6, you have to attend a conference in Lyon. You want to spend 2 days in Paris. You have to attend a workshop in Paris between day 1 and day 2. You plan to stay in Warsaw for 7 days. You want to spend 3 days in Brussels.\n\nHere are the cities that have direct flights:\nLyon and Brussels, Paris and Brussels, Paris and Warsaw, Paris and Lyon, Brussels and Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. During day 2 and day 6, you have to attend a conference in Lyon. You want to spend 2 days in Paris. You have to attend a workshop in Paris between day 1 and day 2. You plan to stay in Warsaw for 7 days. You want to spend 3 days in Brussels.\n\nHere are the cities that have direct flights:\nfrom Lyon to Brussels, from Paris to Brussels, from Paris to Warsaw, from Paris to Lyon, from Brussels to Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Lyon.\n**Day 2-6:** Visit Lyon for 5 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Warsaw.\n**Day 8-14:** Visit Warsaw for 7 days.",
    "id": "trip_planning_example_265",
    "estimated_output_tokens": 964,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 7 days.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Lyon, Fixed Schedule: Day 2 - 6.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 7 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 6).\n |- The departure day of Paris is Day 2. The arrival day of Lyon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Brussels] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Lyon to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Paris, Lyon, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Brussels to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Paris, Lyon, Brussels, Warsaw].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Lyon.\n**Day 2-6:** Visit Lyon for 5 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Warsaw.\n**Day 8-14:** Visit Warsaw for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Stuttgart**Istanbul**Tallinn",
    "ground_truth_durations": "6**4**4**7",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You plan to visit relatives in Istanbul between day 9 and day 12. You would like to visit Stuttgart for 4 days. You plan to stay in Tallinn for 7 days. You would like to visit Copenhagen for 6 days. You have to attend a workshop in Copenhagen between day 1 and day 6.\n\nHere are the cities that have direct flights:\nCopenhagen and Istanbul, Stuttgart and Istanbul, Copenhagen and Stuttgart, from Istanbul to Tallinn, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You plan to visit relatives in Istanbul between day 9 and day 12. You would like to visit Stuttgart for 4 days. You plan to stay in Tallinn for 7 days. You would like to visit Copenhagen for 6 days. You have to attend a workshop in Copenhagen between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Istanbul, from Stuttgart to Istanbul, from Copenhagen to Stuttgart, from Istanbul to Tallinn, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Copenhagen and visit Copenhagen for 6 days.\n**Day 6:** Fly from Copenhagen to Stuttgart.\n**Day 6-9:** Visit Stuttgart for 4 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-18:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_266",
    "estimated_output_tokens": 967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Stuttgart, Duration: 4 days.\n* City: Tallinn, Duration: 7 days.\n* City: Copenhagen, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 6.\n* City: Istanbul, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: Tallinn, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 12).\n |- The departure day of Copenhagen is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Copenhagen to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 12).\n   |- The departure day of Stuttgart is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Stuttgart].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Stuttgart to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Copenhagen, Stuttgart, Istanbul].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Istanbul to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Copenhagen, Stuttgart, Istanbul, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Copenhagen and visit Copenhagen for 6 days.\n**Day 6:** Fly from Copenhagen to Stuttgart.\n**Day 6-9:** Visit Stuttgart for 4 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-18:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Brussels**Madrid**Santorini",
    "ground_truth_durations": "3**7**7**6",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 15,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "London",
        "Madrid"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Brussels",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 7 days. You would like to visit Madrid for 7 days. You plan to stay in London for 3 days. You would like to meet your friends at London between day 1 and day 3 to tour together. You want to spend 6 days in Santorini. From day 15 to day 20, there is a annual show you want to attend in Santorini.\n\nHere are the cities that have direct flights:\nLondon and Madrid, London and Brussels, London and Santorini, Madrid and Santorini, Brussels and Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 7 days. You would like to visit Madrid for 7 days. You plan to stay in London for 3 days. You would like to meet your friends at London between day 1 and day 3 to tour together. You want to spend 6 days in Santorini. From day 15 to day 20, there is a annual show you want to attend in Santorini.\n\nHere are the cities that have direct flights:\nfrom London to Madrid, from London to Brussels, from London to Santorini, from Madrid to Santorini, from Brussels to Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Brussels.\n**Day 3-9:** Visit Brussels for 7 days.\n**Day 9:** Fly from Brussels to Madrid.\n**Day 9-15:** Visit Madrid for 7 days.\n**Day 15:** Fly from Madrid to Santorini.\n**Day 15-20:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_267",
    "estimated_output_tokens": 1018,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 7 days.\n* City: Madrid, Duration: 7 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 15 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Fixed Schedule: Day 15 - 20.\n\nCities needing arrangement:\n* City: Brussels, Duration: 7 days.\n* City: Madrid, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 15 - 20).\n |- The departure day of London is Day 3. The arrival day of Santorini is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Madrid] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from London to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 15 - 20).\n   |- The departure day of Brussels is Day 9. The arrival day of Santorini is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [London, Brussels].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Brussels to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 15 - 20).\n     |- The departure day of Madrid is Day 15. The arrival day of Santorini is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [London, Brussels, Madrid].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Madrid to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [London, Brussels, Madrid, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Brussels.\n**Day 3-9:** Visit Brussels for 7 days.\n**Day 9:** Fly from Brussels to Madrid.\n**Day 9-15:** Visit Madrid for 7 days.\n**Day 15:** Fly from Madrid to Santorini.\n**Day 15-20:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Tallinn**Dublin**Rome",
    "ground_truth_durations": "3**3**7**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Rome"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Tallinn. From day 3 to day 5, there is a annual show you want to attend in Tallinn. You plan to stay in Rome for 6 days. You would like to visit Dublin for 7 days. You have to attend a workshop in Dublin between day 5 and day 11. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nDublin and Rome, Copenhagen and Rome, Copenhagen and Dublin, Tallinn and Dublin, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Tallinn. From day 3 to day 5, there is a annual show you want to attend in Tallinn. You plan to stay in Rome for 6 days. You would like to visit Dublin for 7 days. You have to attend a workshop in Dublin between day 5 and day 11. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Dublin to Rome, from Copenhagen to Rome, from Copenhagen to Dublin, from Tallinn to Dublin, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Tallinn.\n**Day 3-5:** Visit Tallinn for 3 days.\n**Day 5:** Fly from Tallinn to Dublin.\n**Day 5-11:** Visit Dublin for 7 days.\n**Day 11:** Fly from Dublin to Rome.\n**Day 11-16:** Visit Rome for 6 days.",
    "id": "trip_planning_example_268",
    "estimated_output_tokens": 1084,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Rome, Duration: 6 days.\n* City: Dublin, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 3 - 5.\n* City: Dublin, Fixed Schedule: Day 5 - 11.\n\nCities needing arrangement:\n* City: Rome, Duration: 6 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Copenhagen] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 3 - 5).\n |- The departure day of Rome is Day 6. The arrival day of Tallinn is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 3 - 5).\n |- The departure day of Copenhagen is Day 3. The arrival day of Tallinn is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dublin (Day 5 - 11).\n   |- The departure day of Tallinn is Day 5. The arrival day of Dublin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Tallinn to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Tallinn, Dublin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n       |- Try arranging to visit Rome from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Dublin to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Copenhagen, Tallinn, Dublin, Rome].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Tallinn.\n**Day 3-5:** Visit Tallinn for 3 days.\n**Day 5:** Fly from Tallinn to Dublin.\n**Day 5-11:** Visit Dublin for 7 days.\n**Day 11:** Fly from Dublin to Rome.\n**Day 11-16:** Visit Rome for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Helsinki**Edinburgh**Seville",
    "ground_truth_durations": "4**3**2**2",
    "num_cities": 4,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Oslo",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Oslo. You have to attend a workshop in Oslo between day 1 and day 4. You would like to visit Seville for 2 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 4 and day 6 to tour together. You would like to visit Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Seville, Helsinki and Edinburgh, Oslo and Helsinki, Oslo and Edinburgh.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Oslo. You have to attend a workshop in Oslo between day 1 and day 4. You would like to visit Seville for 2 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 4 and day 6 to tour together. You would like to visit Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Seville, from Helsinki to Edinburgh, from Oslo to Helsinki, from Oslo to Edinburgh.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 8 days:\n\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Helsinki.\n**Day 4-6:** Visit Helsinki for 3 days.\n**Day 6:** Fly from Helsinki to Edinburgh.\n**Day 6-7:** Visit Edinburgh for 2 days.\n**Day 7:** Fly from Edinburgh to Seville.\n**Day 7-8:** Visit Seville for 2 days.",
    "id": "trip_planning_example_269",
    "estimated_output_tokens": 977,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Seville, Duration: 2 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Edinburgh, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 4.\n* City: Helsinki, Fixed Schedule: Day 4 - 6.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 4 - 6).\n |- The departure day of Oslo is Day 4. The arrival day of Helsinki is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Oslo to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Helsinki, Edinburgh].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Oslo, Helsinki, Edinburgh, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Helsinki.\n**Day 4-6:** Visit Helsinki for 3 days.\n**Day 6:** Fly from Helsinki to Edinburgh.\n**Day 6-7:** Visit Edinburgh for 2 days.\n**Day 7:** Fly from Edinburgh to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Helsinki**Rome**Stuttgart",
    "ground_truth_durations": "4**4**4**4",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Rome. You would like to visit Riga for 4 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 10 and day 13. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nRiga and Helsinki, Helsinki and Rome, from Rome to Riga, Rome and Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Rome. You would like to visit Riga for 4 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 10 and day 13. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Helsinki, from Helsinki to Rome, from Rome to Riga, from Rome to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_270",
    "estimated_output_tokens": 1755,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Riga, Helsinki] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 10 - 13).\n |- The departure day of Rome is Day 4. The arrival day of Stuttgart is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Helsinki] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Rome to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 13).\n   |- The departure day of Riga is Day 7. The arrival day of Stuttgart is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Riga].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Riga to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 10 - 13).\n     |- The departure day of Helsinki is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Riga, Helsinki].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Helsinki to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Rome to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 10 - 13).\n |- The departure day of Riga is Day 4. The arrival day of Stuttgart is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Helsinki] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 13).\n   |- The departure day of Helsinki is Day 7. The arrival day of Stuttgart is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n     |- Try arranging to visit Rome from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 10 - 13).\n     |- The departure day of Rome is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Riga, Helsinki, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Rome to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Riga, Helsinki, Rome, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Venice**Amsterdam**Tallinn",
    "ground_truth_durations": "2**6**4**4",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You would like to meet your friends at Tallinn between day 10 and day 13 to tour together. You want to spend 4 days in Amsterdam. You would like to visit Venice for 6 days. You would like to visit Warsaw for 2 days. You are going to attend a wedding in Warsaw between day 1 and day 2.\n\nHere are the cities that have direct flights:\nVenice and Amsterdam, Warsaw and Tallinn, Amsterdam and Tallinn, Warsaw and Venice, Warsaw and Amsterdam.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You would like to meet your friends at Tallinn between day 10 and day 13 to tour together. You want to spend 4 days in Amsterdam. You would like to visit Venice for 6 days. You would like to visit Warsaw for 2 days. You are going to attend a wedding in Warsaw between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Venice to Amsterdam, from Warsaw to Tallinn, from Amsterdam to Tallinn, from Warsaw to Venice, from Warsaw to Amsterdam.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Venice.\n**Day 2-7:** Visit Venice for 6 days.\n**Day 7:** Fly from Venice to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_271",
    "estimated_output_tokens": 1262,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Amsterdam, Duration: 4 days.\n* City: Venice, Duration: 6 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 4 days.\n* City: Venice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 10 - 13).\n |- The departure day of Warsaw is Day 2. The arrival day of Tallinn is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Venice] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 10 - 13).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Tallinn is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Amsterdam to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Warsaw to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 10 - 13).\n   |- The departure day of Venice is Day 7. The arrival day of Tallinn is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 10 - 13).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Tallinn is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Warsaw, Venice, Amsterdam].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Amsterdam to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Warsaw, Venice, Amsterdam, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Venice.\n**Day 2-7:** Visit Venice for 6 days.\n**Day 7:** Fly from Venice to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Dubrovnik**Zurich**Florence",
    "ground_truth_durations": "4**3**2**4",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Florence"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Dublin",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 1 and day 4. You would like to visit Zurich for 2 days. You would like to visit Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 4 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Zurich to Florence, Dublin and Dubrovnik, Dubrovnik and Zurich, Dublin and Zurich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 1 and day 4. You would like to visit Zurich for 2 days. You would like to visit Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 4 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Zurich to Florence, from Dublin to Dubrovnik, from Dubrovnik to Zurich, from Dublin to Zurich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Florence.\n**Day 7-10:** Visit Florence for 4 days.",
    "id": "trip_planning_example_272",
    "estimated_output_tokens": 998,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Zurich, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Fixed Schedule: Day 4 - 6.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 6).\n |- The departure day of Dublin is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dublin to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Dubrovnik, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dublin, Dubrovnik, Zurich, Florence].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Florence.\n**Day 7-10:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Milan**Naples**Santorini",
    "ground_truth_durations": "6**2**3**5",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Naples"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Reykjavik",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 5 days. You are going to attend a wedding in Santorini between day 9 and day 13. You would like to visit Milan for 2 days. You plan to stay in Naples for 3 days. From day 7 to day 9, there is a annual show you want to attend in Naples. You want to spend 6 days in Reykjavik.\n\nHere are the cities that have direct flights:\nMilan and Naples, Milan and Santorini, Naples and Santorini, Reykjavik and Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 5 days. You are going to attend a wedding in Santorini between day 9 and day 13. You would like to visit Milan for 2 days. You plan to stay in Naples for 3 days. From day 7 to day 9, there is a annual show you want to attend in Naples. You want to spend 6 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Milan to Naples, from Milan to Santorini, from Naples to Santorini, from Reykjavik to Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Naples.\n**Day 7-9:** Visit Naples for 3 days.\n**Day 9:** Fly from Naples to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_273",
    "estimated_output_tokens": 1306,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Milan, Duration: 2 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 7 - 9.\n* City: Santorini, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Reykjavik, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Reykjavik] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 7 - 9).\n |- The departure day of Milan is Day 2. The arrival day of Naples is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 7 - 9).\n |- The departure day of Reykjavik is Day 6. The arrival day of Naples is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n   |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Reykjavik to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 9).\n   |- The departure day of Milan is Day 7. The arrival day of Naples is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Milan to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 9 - 13).\n     |- The departure day of Naples is Day 9. The arrival day of Santorini is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Milan, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Milan, Naples, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Naples.\n**Day 7-9:** Visit Naples for 3 days.\n**Day 9:** Fly from Naples to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Dublin**Amsterdam**Riga",
    "ground_truth_durations": "7**7**7**5",
    "num_cities": 4,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 13,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You would like to visit Reykjavik for 7 days. During day 1 and day 7, you have to attend a conference in Reykjavik. You would like to visit Dublin for 7 days. You plan to stay in Amsterdam for 7 days. You are going to attend a wedding in Amsterdam between day 13 and day 19.\n\nHere are the cities that have direct flights:\nDublin and Amsterdam, Amsterdam and Riga, Reykjavik and Dublin, Dublin and Riga, Reykjavik and Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You would like to visit Reykjavik for 7 days. During day 1 and day 7, you have to attend a conference in Reykjavik. You would like to visit Dublin for 7 days. You plan to stay in Amsterdam for 7 days. You are going to attend a wedding in Amsterdam between day 13 and day 19.\n\nHere are the cities that have direct flights:\nfrom Dublin to Amsterdam, from Amsterdam to Riga, from Reykjavik to Dublin, from Dublin to Riga, from Reykjavik to Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 23 days:\n\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Dublin.\n**Day 7-13:** Visit Dublin for 7 days.\n**Day 13:** Fly from Dublin to Amsterdam.\n**Day 13-19:** Visit Amsterdam for 7 days.\n**Day 19:** Fly from Amsterdam to Riga.\n**Day 19-23:** Visit Riga for 5 days.",
    "id": "trip_planning_example_274",
    "estimated_output_tokens": 1054,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Reykjavik, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Dublin, Duration: 7 days.\n* City: Amsterdam, Duration: 7 days, Fixed Schedule: Day 13 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 7.\n* City: Amsterdam, Fixed Schedule: Day 13 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Dublin, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 13 - 19).\n |- The departure day of Reykjavik is Day 7. The arrival day of Amsterdam is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dublin] and explore these options in order.\n   |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Reykjavik to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 13 - 19).\n   |- The departure day of Dublin is Day 13. The arrival day of Amsterdam is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Reykjavik, Dublin].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n     |- Check for direct flight from Dublin to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 19. Current plan: [Reykjavik, Dublin, Amsterdam].\n      |- Check whether the city with an arrival day of Day 19 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n       |- Check for direct flight from Amsterdam to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 23. Current plan: [Reykjavik, Dublin, Amsterdam, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Dublin.\n**Day 7-13:** Visit Dublin for 7 days.\n**Day 13:** Fly from Dublin to Amsterdam.\n**Day 13-19:** Visit Amsterdam for 7 days.\n**Day 19:** Fly from Amsterdam to Riga.\n**Day 19-23:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Madrid**Santorini",
    "ground_truth_durations": "4**5**6**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Madrid",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You would like to visit Vilnius for 4 days. You would like to visit Santorini for 2 days. During day 13 and day 14, you have to attend a conference in Santorini. You plan to stay in Madrid for 6 days.\n\nHere are the cities that have direct flights:\nVilnius and Split, Split and Madrid, Madrid and Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You would like to visit Vilnius for 4 days. You would like to visit Santorini for 2 days. During day 13 and day 14, you have to attend a conference in Santorini. You plan to stay in Madrid for 6 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Split, from Split to Madrid, from Madrid to Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-8:** Visit Split for 5 days.\n**Day 8:** Fly from Split to Madrid.\n**Day 8-13:** Visit Madrid for 6 days.\n**Day 13:** Fly from Madrid to Santorini.\n**Day 13-14:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_275",
    "estimated_output_tokens": 1559,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Madrid, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Madrid, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Vilnius, Madrid] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 13 - 14).\n |- The departure day of Split is Day 5. The arrival day of Santorini is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Madrid] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Split to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 13 - 14).\n   |- The departure day of Madrid is Day 10. The arrival day of Santorini is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Split, Madrid].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Madrid to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 13 - 14).\n |- The departure day of Vilnius is Day 4. The arrival day of Santorini is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Madrid] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 13 - 14).\n   |- The departure day of Split is Day 8. The arrival day of Santorini is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Split to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 13 - 14).\n     |- The departure day of Madrid is Day 13. The arrival day of Santorini is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Vilnius, Split, Madrid].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Madrid to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vilnius, Split, Madrid, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-8:** Visit Split for 5 days.\n**Day 8:** Fly from Split to Madrid.\n**Day 8-13:** Visit Madrid for 6 days.\n**Day 13:** Fly from Madrid to Santorini.\n**Day 13-14:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Geneva**Porto",
    "ground_truth_durations": "4**3**4**3",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Geneva"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Vilnius",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 9 and day 11 to tour together. You want to spend 4 days in Geneva. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 1 and day 4. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nSplit and Geneva, Geneva and Porto, Vilnius and Split.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 9 and day 11 to tour together. You want to spend 4 days in Geneva. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 1 and day 4. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nfrom Split to Geneva, from Geneva to Porto, from Vilnius to Split.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Geneva.\n**Day 6-9:** Visit Geneva for 4 days.\n**Day 9:** Fly from Geneva to Porto.\n**Day 9-11:** Visit Porto for 3 days.",
    "id": "trip_planning_example_276",
    "estimated_output_tokens": 1070,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Geneva, Duration: 4 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 4.\n* City: Porto, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Geneva, Duration: 4 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 9 - 11).\n |- The departure day of Vilnius is Day 4. The arrival day of Porto is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Split] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 9 - 11).\n   |- The departure day of Split is Day 6. The arrival day of Porto is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Split to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 11).\n     |- The departure day of Geneva is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Split, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Split, Geneva, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Geneva.\n**Day 6-9:** Visit Geneva for 4 days.\n**Day 9:** Fly from Geneva to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Warsaw**Madrid**Mykonos",
    "ground_truth_durations": "7**3**2**6",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Madrid",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You plan to stay in Krakow for 7 days. You plan to stay in Warsaw for 3 days. You would like to visit Mykonos for 6 days. You have to attend a workshop in Mykonos between day 10 and day 15.\n\nHere are the cities that have direct flights:\nWarsaw and Madrid, Krakow and Warsaw, Madrid and Mykonos.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You plan to stay in Krakow for 7 days. You plan to stay in Warsaw for 3 days. You would like to visit Mykonos for 6 days. You have to attend a workshop in Mykonos between day 10 and day 15.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Madrid, from Krakow to Warsaw, from Madrid to Mykonos.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-15:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_277",
    "estimated_output_tokens": 1377,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days.\n* City: Krakow, Duration: 7 days.\n* City: Warsaw, Duration: 3 days.\n* City: Mykonos, Duration: 6 days, Fixed Schedule: Day 10 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 10 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: Krakow, Duration: 7 days.\n* City: Warsaw, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Krakow, Warsaw] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 10 - 15).\n |- The departure day of Madrid is Day 2. The arrival day of Mykonos is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Warsaw] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Madrid to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Warsaw.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 10 - 15).\n |- The departure day of Krakow is Day 7. The arrival day of Mykonos is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Warsaw] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Krakow to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Krakow to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 15).\n   |- The departure day of Warsaw is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Warsaw to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 15).\n     |- The departure day of Madrid is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Warsaw, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Krakow, Warsaw, Madrid, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-15:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Copenhagen**Budapest**Bucharest",
    "ground_truth_durations": "7**3**2**5",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You would like to meet your friends at Bucharest between day 10 and day 14 to tour together. You want to spend 3 days in Copenhagen. You plan to stay in Budapest for 2 days. You want to spend 7 days in Stockholm.\n\nHere are the cities that have direct flights:\nBudapest and Bucharest, Stockholm and Copenhagen, Copenhagen and Bucharest, Copenhagen and Budapest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You would like to meet your friends at Bucharest between day 10 and day 14 to tour together. You want to spend 3 days in Copenhagen. You plan to stay in Budapest for 2 days. You want to spend 7 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Budapest to Bucharest, from Stockholm to Copenhagen, from Copenhagen to Bucharest, from Copenhagen to Budapest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-7:** Arriving in Stockholm and visit Stockholm for 7 days.\n**Day 7:** Fly from Stockholm to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Budapest.\n**Day 9-10:** Visit Budapest for 2 days.\n**Day 10:** Fly from Budapest to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_278",
    "estimated_output_tokens": 1804,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Copenhagen, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Stockholm, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Stockholm, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Budapest, Stockholm] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 10 - 14).\n |- The departure day of Copenhagen is Day 3. The arrival day of Bucharest is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Stockholm] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Copenhagen to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 10 - 14).\n   |- The departure day of Budapest is Day 4. The arrival day of Bucharest is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Copenhagen, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Budapest to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Copenhagen to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 10 - 14).\n |- The departure day of Budapest is Day 2. The arrival day of Bucharest is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Stockholm] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Budapest to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Budapest to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 10 - 14).\n |- The departure day of Stockholm is Day 7. The arrival day of Bucharest is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Budapest] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Stockholm to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 10 - 14).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Bucharest is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Stockholm, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Copenhagen to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 10 - 14).\n     |- The departure day of Budapest is Day 10. The arrival day of Bucharest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stockholm, Copenhagen, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Budapest to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stockholm, Copenhagen, Budapest, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Stockholm and visit Stockholm for 7 days.\n**Day 7:** Fly from Stockholm to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Budapest.\n**Day 9-10:** Visit Budapest for 2 days.\n**Day 10:** Fly from Budapest to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Dublin**Krakow**Helsinki",
    "ground_truth_durations": "5**3**7**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 13,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Krakow",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 3 days. You would like to visit Krakow for 7 days. From day 7 to day 13, there is a annual show you want to attend in Krakow. You would like to visit Helsinki for 6 days. You want to meet a friend in Helsinki between day 13 and day 18. You want to spend 5 days in Madrid.\n\nHere are the cities that have direct flights:\nMadrid and Helsinki, Madrid and Dublin, Dublin and Helsinki, Dublin and Krakow, Krakow and Helsinki.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 3 days. You would like to visit Krakow for 7 days. From day 7 to day 13, there is a annual show you want to attend in Krakow. You would like to visit Helsinki for 6 days. You want to meet a friend in Helsinki between day 13 and day 18. You want to spend 5 days in Madrid.\n\nHere are the cities that have direct flights:\nfrom Madrid to Helsinki, from Madrid to Dublin, from Dublin to Helsinki, from Dublin to Krakow, from Krakow to Helsinki.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Dublin.\n**Day 5-7:** Visit Dublin for 3 days.\n**Day 7:** Fly from Dublin to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.\n**Day 13:** Fly from Krakow to Helsinki.\n**Day 13-18:** Visit Helsinki for 6 days.",
    "id": "trip_planning_example_279",
    "estimated_output_tokens": 1258,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 3 days.\n* City: Krakow, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Helsinki, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n* City: Madrid, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 7 - 13.\n* City: Helsinki, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Dublin, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Madrid] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 13).\n |- The departure day of Dublin is Day 3. The arrival day of Krakow is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 13).\n |- The departure day of Madrid is Day 5. The arrival day of Krakow is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 7 - 13).\n   |- The departure day of Dublin is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Dublin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 13 - 18).\n     |- The departure day of Krakow is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Madrid, Dublin, Krakow].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Krakow to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Madrid, Dublin, Krakow, Helsinki].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Dublin.\n**Day 5-7:** Visit Dublin for 3 days.\n**Day 7:** Fly from Dublin to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.\n**Day 13:** Fly from Krakow to Helsinki.\n**Day 13-18:** Visit Helsinki for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**London**Berlin**Stuttgart",
    "ground_truth_durations": "4**4**5**4",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "London"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "London",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 4 days. You want to spend 5 days in Berlin. During day 7 and day 11, you have to attend a conference in Berlin. You want to spend 4 days in London. You have to attend a workshop in London between day 4 and day 7. You plan to stay in Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nFlorence and London, London and Berlin, Berlin and Stuttgart, London and Stuttgart.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 4 days. You want to spend 5 days in Berlin. During day 7 and day 11, you have to attend a conference in Berlin. You want to spend 4 days in London. You have to attend a workshop in London between day 4 and day 7. You plan to stay in Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nfrom Florence to London, from London to Berlin, from Berlin to Stuttgart, from London to Stuttgart.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_280",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: London, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Stuttgart, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 7.\n* City: Berlin, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Stuttgart] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 7).\n |- The departure day of Florence is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 7 - 11).\n   |- The departure day of London is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Florence, London, Berlin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Berlin to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Florence, London, Berlin, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Lisbon**Barcelona**Valencia",
    "ground_truth_durations": "4**3**4**5",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You plan to stay in Barcelona for 4 days. From day 6 to day 9, there is a annual show you want to attend in Barcelona. You would like to visit Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 1 and day 4. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nStockholm and Barcelona, Barcelona and Valencia, Lisbon and Valencia, Lisbon and Barcelona, Stockholm and Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You plan to stay in Barcelona for 4 days. From day 6 to day 9, there is a annual show you want to attend in Barcelona. You would like to visit Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 1 and day 4. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Barcelona, from Barcelona to Valencia, from Lisbon to Valencia, from Lisbon to Barcelona, from Stockholm to Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_281",
    "estimated_output_tokens": 959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 6 - 9).\n |- The departure day of Stockholm is Day 4. The arrival day of Barcelona is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Valencia] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Barcelona (Day 6 - 9).\n   |- The departure day of Lisbon is Day 6. The arrival day of Barcelona is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Lisbon, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stockholm, Lisbon, Barcelona, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Split**Naples**Dubrovnik",
    "ground_truth_durations": "7**2**2**7",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Naples"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Naples",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. You plan to stay in Hamburg for 7 days. You would like to meet your friends at Hamburg between day 1 and day 7 to tour together. You plan to stay in Dubrovnik for 7 days. You want to spend 2 days in Naples. You have to attend a workshop in Naples between day 8 and day 9.\n\nHere are the cities that have direct flights:\nSplit and Naples, Hamburg and Split, Naples and Dubrovnik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. You plan to stay in Hamburg for 7 days. You would like to meet your friends at Hamburg between day 1 and day 7 to tour together. You plan to stay in Dubrovnik for 7 days. You want to spend 2 days in Naples. You have to attend a workshop in Naples between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Split to Naples, from Hamburg to Split, from Naples to Dubrovnik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to Dubrovnik.\n**Day 9-15:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_282",
    "estimated_output_tokens": 974,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Dubrovnik, Duration: 7 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 7.\n* City: Naples, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 8 - 9).\n |- The departure day of Hamburg is Day 7. The arrival day of Naples is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Hamburg to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 8 - 9).\n   |- The departure day of Split is Day 8. The arrival day of Naples is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Split to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Split, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Naples to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Hamburg, Split, Naples, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to Dubrovnik.\n**Day 9-15:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Oslo**Rome**Santorini",
    "ground_truth_durations": "6**5**5**6",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 14,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Rome"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Tallinn",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 5 days. You are going to attend a wedding in Rome between day 10 and day 14. You plan to stay in Oslo for 5 days. You want to spend 6 days in Santorini. You have to attend a workshop in Santorini between day 14 and day 19. You plan to stay in Tallinn for 6 days.\n\nHere are the cities that have direct flights:\nOslo and Rome, from Santorini to Oslo, Rome and Santorini, Tallinn and Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 5 days. You are going to attend a wedding in Rome between day 10 and day 14. You plan to stay in Oslo for 5 days. You want to spend 6 days in Santorini. You have to attend a workshop in Santorini between day 14 and day 19. You plan to stay in Tallinn for 6 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Rome, from Santorini to Oslo, from Rome to Santorini, from Tallinn to Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Oslo.\n**Day 6-10:** Visit Oslo for 5 days.\n**Day 10:** Fly from Oslo to Rome.\n**Day 10-14:** Visit Rome for 5 days.\n**Day 14:** Fly from Rome to Santorini.\n**Day 14-19:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_283",
    "estimated_output_tokens": 1277,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Oslo, Duration: 5 days.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 14 - 19.\n* City: Tallinn, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 10 - 14.\n* City: Santorini, Fixed Schedule: Day 14 - 19.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Tallinn, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Tallinn] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 10 - 14).\n |- The departure day of Oslo is Day 5. The arrival day of Rome is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Oslo to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 10 - 14).\n |- The departure day of Tallinn is Day 6. The arrival day of Rome is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Tallinn to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 10 - 14).\n   |- The departure day of Oslo is Day 10. The arrival day of Rome is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Tallinn, Oslo].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Oslo to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 14 - 19).\n     |- The departure day of Rome is Day 14. The arrival day of Santorini is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Tallinn, Oslo, Rome].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Rome to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Tallinn, Oslo, Rome, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Oslo.\n**Day 6-10:** Visit Oslo for 5 days.\n**Day 10:** Fly from Oslo to Rome.\n**Day 10-14:** Visit Rome for 5 days.\n**Day 14:** Fly from Rome to Santorini.\n**Day 14-19:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Bucharest**Zurich**Berlin",
    "ground_truth_durations": "7**6**5**4",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Zurich",
        "Berlin"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 6 days. You have to attend a workshop in Bucharest between day 7 and day 12. You plan to stay in Zurich for 5 days. You want to meet a friend in Zurich between day 12 and day 16. You plan to stay in Hamburg for 7 days. You plan to stay in Berlin for 4 days.\n\nHere are the cities that have direct flights:\nBucharest and Zurich, Zurich and Berlin, Hamburg and Bucharest, Hamburg and Zurich.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 6 days. You have to attend a workshop in Bucharest between day 7 and day 12. You plan to stay in Zurich for 5 days. You want to meet a friend in Zurich between day 12 and day 16. You plan to stay in Hamburg for 7 days. You plan to stay in Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Zurich, from Zurich to Berlin, from Hamburg to Bucharest, from Hamburg to Zurich.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.",
    "id": "trip_planning_example_284",
    "estimated_output_tokens": 972,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Hamburg, Duration: 7 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 7 - 12.\n* City: Zurich, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 7 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Berlin] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 12).\n |- The departure day of Hamburg is Day 7. The arrival day of Bucharest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Hamburg to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 12 - 16).\n   |- The departure day of Bucharest is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Hamburg, Bucharest].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Bucharest to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Hamburg, Bucharest, Zurich].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n       |- Check for direct flight from Zurich to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Hamburg, Bucharest, Zurich, Berlin].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Naples**Stuttgart**Split",
    "ground_truth_durations": "7**3**6**2",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. From day 1 to day 7, there is a annual show you want to attend in Venice. You would like to visit Split for 2 days. You would like to visit Stuttgart for 6 days. You are going to attend a wedding in Stuttgart between day 9 and day 14. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nNaples and Split, Stuttgart and Split, Venice and Naples, Venice and Stuttgart, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. From day 1 to day 7, there is a annual show you want to attend in Venice. You would like to visit Split for 2 days. You would like to visit Stuttgart for 6 days. You are going to attend a wedding in Stuttgart between day 9 and day 14. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Split, from Stuttgart to Split, from Venice to Naples, from Venice to Stuttgart, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-9:** Visit Naples for 3 days.\n**Day 9:** Fly from Naples to Stuttgart.\n**Day 9-14:** Visit Stuttgart for 6 days.\n**Day 14:** Fly from Stuttgart to Split.\n**Day 14-15:** Visit Split for 2 days.",
    "id": "trip_planning_example_285",
    "estimated_output_tokens": 1002,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Split, Duration: 2 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 7.\n* City: Stuttgart, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 9 - 14).\n |- The departure day of Venice is Day 7. The arrival day of Stuttgart is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Naples] and explore these options in order.\n   |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Venice to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 9 - 14).\n   |- The departure day of Naples is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, Naples].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Naples to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Venice, Naples, Stuttgart].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Stuttgart to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Venice, Naples, Stuttgart, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-9:** Visit Naples for 3 days.\n**Day 9:** Fly from Naples to Stuttgart.\n**Day 9-14:** Visit Stuttgart for 6 days.\n**Day 14:** Fly from Stuttgart to Split.\n**Day 14-15:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Valencia**Dublin**Hamburg",
    "ground_truth_durations": "3**7**4**4",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 1 and day 3. You would like to visit Valencia for 7 days. You plan to visit relatives in Valencia between day 3 and day 9. You would like to visit Dublin for 4 days. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Dublin, Valencia and Dublin, Frankfurt and Valencia, Dublin and Hamburg, Frankfurt and Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 1 and day 3. You would like to visit Valencia for 7 days. You plan to visit relatives in Valencia between day 3 and day 9. You would like to visit Dublin for 4 days. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Dublin, from Valencia to Dublin, from Frankfurt to Valencia, from Dublin to Hamburg, from Frankfurt to Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Valencia.\n**Day 3-9:** Visit Valencia for 7 days.\n**Day 9:** Fly from Valencia to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Hamburg.\n**Day 12-15:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_286",
    "estimated_output_tokens": 922,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 3 - 9.\n* City: Dublin, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 3 - 9.\n\nCities needing arrangement:\n* City: Dublin, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 9).\n |- The departure day of Frankfurt is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Frankfurt to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Valencia].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Hamburg] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Valencia to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Frankfurt, Valencia, Dublin].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Dublin to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Frankfurt, Valencia, Dublin, Hamburg].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Valencia.\n**Day 3-9:** Visit Valencia for 7 days.\n**Day 9:** Fly from Valencia to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Hamburg.\n**Day 12-15:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Krakow**Paris**Geneva",
    "ground_truth_durations": "4**6**2**6",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Brussels",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You want to spend 6 days in Geneva. You plan to stay in Krakow for 6 days. From day 4 to day 9, there is a annual show you want to attend in Krakow. You plan to stay in Brussels for 4 days. You have to attend a workshop in Brussels between day 1 and day 4.\n\nHere are the cities that have direct flights:\nBrussels and Krakow, Brussels and Geneva, Krakow and Paris, Paris and Geneva, Brussels and Paris.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You want to spend 6 days in Geneva. You plan to stay in Krakow for 6 days. From day 4 to day 9, there is a annual show you want to attend in Krakow. You plan to stay in Brussels for 4 days. You have to attend a workshop in Brussels between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Brussels to Krakow, from Brussels to Geneva, from Krakow to Paris, from Paris to Geneva, from Brussels to Paris.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Krakow.\n**Day 4-9:** Visit Krakow for 6 days.\n**Day 9:** Fly from Krakow to Paris.\n**Day 9-10:** Visit Paris for 2 days.\n**Day 10:** Fly from Paris to Geneva.\n**Day 10-15:** Visit Geneva for 6 days.",
    "id": "trip_planning_example_287",
    "estimated_output_tokens": 935,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days.\n* City: Geneva, Duration: 6 days.\n* City: Krakow, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Fixed Schedule: Day 4 - 9.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 9).\n |- The departure day of Brussels is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Brussels to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Brussels, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Geneva] and explore these options in order.\n     |- Try arranging to visit Paris from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Krakow to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Krakow, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n       |- Check for direct flight from Paris to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Brussels, Krakow, Paris, Geneva].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Krakow.\n**Day 4-9:** Visit Krakow for 6 days.\n**Day 9:** Fly from Krakow to Paris.\n**Day 9-10:** Visit Paris for 2 days.\n**Day 10:** Fly from Paris to Geneva.\n**Day 10-15:** Visit Geneva for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Madrid**Vienna**Stuttgart",
    "ground_truth_durations": "7**4**2**5",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 11 and day 15. You plan to stay in Manchester for 7 days. You are going to attend a wedding in Manchester between day 1 and day 7. You plan to stay in Madrid for 4 days. You want to spend 2 days in Vienna.\n\nHere are the cities that have direct flights:\nVienna and Stuttgart, Manchester and Vienna, Madrid and Vienna, Manchester and Stuttgart, Manchester and Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 11 and day 15. You plan to stay in Manchester for 7 days. You are going to attend a wedding in Manchester between day 1 and day 7. You plan to stay in Madrid for 4 days. You want to spend 2 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Vienna to Stuttgart, from Manchester to Vienna, from Madrid to Vienna, from Manchester to Stuttgart, from Manchester to Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Vienna.\n**Day 10-11:** Visit Vienna for 2 days.\n**Day 11:** Fly from Vienna to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_288",
    "estimated_output_tokens": 990,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Manchester, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Madrid, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 7.\n* City: Stuttgart, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 11 - 15).\n |- The departure day of Manchester is Day 7. The arrival day of Stuttgart is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Vienna] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Manchester to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 11 - 15).\n   |- The departure day of Madrid is Day 10. The arrival day of Stuttgart is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Manchester, Madrid].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Madrid to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 11 - 15).\n     |- The departure day of Vienna is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Manchester, Madrid, Vienna].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Vienna to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Manchester, Madrid, Vienna, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Vienna.\n**Day 10-11:** Visit Vienna for 2 days.\n**Day 11:** Fly from Vienna to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Munich**Venice**Edinburgh",
    "ground_truth_durations": "3**2**5**2",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Prague",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You are going to attend a wedding in Munich between day 3 and day 4. You would like to visit Prague for 3 days. You plan to stay in Edinburgh for 2 days. You want to spend 5 days in Venice. From day 4 to day 8, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nMunich and Edinburgh, Munich and Venice, Prague and Edinburgh, Venice and Edinburgh, Prague and Munich.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You are going to attend a wedding in Munich between day 3 and day 4. You would like to visit Prague for 3 days. You plan to stay in Edinburgh for 2 days. You want to spend 5 days in Venice. From day 4 to day 8, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Munich to Edinburgh, from Munich to Venice, from Prague to Edinburgh, from Venice to Edinburgh, from Prague to Munich.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.",
    "id": "trip_planning_example_289",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Prague, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 3 - 4.\n* City: Venice, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Edinburgh] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 3 - 4).\n |- The departure day of Prague is Day 3. The arrival day of Munich is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 4 - 8).\n   |- The departure day of Munich is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Munich, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Prague, Munich, Venice, Edinburgh].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Barcelona**Rome**Mykonos",
    "ground_truth_durations": "2**7**7**3",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Rome",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 7 days. You would like to meet your friends at Rome between day 8 and day 14 to tour together. You would like to visit Dubrovnik for 2 days. You have to attend a workshop in Dubrovnik between day 1 and day 2. You plan to stay in Mykonos for 3 days. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nBarcelona and Rome, Dubrovnik and Rome, Dubrovnik and Barcelona, Rome and Mykonos.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 7 days. You would like to meet your friends at Rome between day 8 and day 14 to tour together. You would like to visit Dubrovnik for 2 days. You have to attend a workshop in Dubrovnik between day 1 and day 2. You plan to stay in Mykonos for 3 days. You plan to stay in Barcelona for 7 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Rome, from Dubrovnik to Rome, from Dubrovnik to Barcelona, from Rome to Mykonos.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Barcelona.\n**Day 2-8:** Visit Barcelona for 7 days.\n**Day 8:** Fly from Barcelona to Rome.\n**Day 8-14:** Visit Rome for 7 days.\n**Day 14:** Fly from Rome to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_290",
    "estimated_output_tokens": 1050,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Mykonos, Duration: 3 days.\n* City: Barcelona, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: Barcelona, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 8 - 14).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Rome is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Barcelona] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Dubrovnik to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 8 - 14).\n   |- The departure day of Barcelona is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Barcelona to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Dubrovnik, Barcelona, Rome].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Rome to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Dubrovnik, Barcelona, Rome, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Barcelona.\n**Day 2-8:** Visit Barcelona for 7 days.\n**Day 8:** Fly from Barcelona to Rome.\n**Day 8-14:** Visit Rome for 7 days.\n**Day 14:** Fly from Rome to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Frankfurt**Tallinn**Vilnius",
    "ground_truth_durations": "6**6**2**4",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. You would like to visit Frankfurt for 6 days. You would like to visit Vilnius for 4 days. You plan to stay in Stuttgart for 6 days. During day 1 and day 6, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, Stuttgart and Frankfurt, Frankfurt and Vilnius, Frankfurt and Tallinn.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. You would like to visit Frankfurt for 6 days. You would like to visit Vilnius for 4 days. You plan to stay in Stuttgart for 6 days. During day 1 and day 6, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, from Stuttgart to Frankfurt, from Frankfurt to Vilnius, from Frankfurt to Tallinn.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Frankfurt.\n**Day 6-11:** Visit Frankfurt for 6 days.\n**Day 11:** Fly from Frankfurt to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_291",
    "estimated_output_tokens": 959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Frankfurt, Duration: 6 days.\n* City: Vilnius, Duration: 4 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Frankfurt, Duration: 6 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt, Vilnius] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Stuttgart to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Stuttgart to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Stuttgart, Frankfurt].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Frankfurt to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stuttgart, Frankfurt, Tallinn].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Frankfurt, Tallinn, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Frankfurt.\n**Day 6-11:** Visit Frankfurt for 6 days.\n**Day 11:** Fly from Frankfurt to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Rome**Stockholm**Krakow",
    "ground_truth_durations": "4**3**5**7",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Budapest",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 7 days. You would like to visit Budapest for 4 days. You plan to visit relatives in Budapest between day 1 and day 4. You plan to stay in Stockholm for 5 days. You would like to visit Rome for 3 days. You have to attend a workshop in Rome between day 4 and day 6.\n\nHere are the cities that have direct flights:\nRome and Stockholm, Stockholm and Krakow, Budapest and Rome.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 7 days. You would like to visit Budapest for 4 days. You plan to visit relatives in Budapest between day 1 and day 4. You plan to stay in Stockholm for 5 days. You would like to visit Rome for 3 days. You have to attend a workshop in Rome between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Rome to Stockholm, from Stockholm to Krakow, from Budapest to Rome.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-16:** Visit Krakow for 7 days.",
    "id": "trip_planning_example_292",
    "estimated_output_tokens": 983,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 7 days.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stockholm, Duration: 5 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 4 - 6.\n\nCities needing arrangement:\n* City: Krakow, Duration: 7 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 4 - 6).\n |- The departure day of Budapest is Day 4. The arrival day of Rome is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Budapest to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Stockholm] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Rome to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Rome, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Budapest, Rome, Stockholm, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-16:** Visit Krakow for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Rome**Edinburgh**Krakow",
    "ground_truth_durations": "7**5**6**5",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 11,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Rome",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 7 days. You would like to visit Krakow for 5 days. You want to spend 5 days in Rome. You want to meet a friend in Rome between day 7 and day 11. You would like to visit Edinburgh for 6 days. You have to attend a workshop in Edinburgh between day 11 and day 16.\n\nHere are the cities that have direct flights:\nWarsaw and Krakow, Warsaw and Rome, Edinburgh and Krakow, Rome and Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 7 days. You would like to visit Krakow for 5 days. You want to spend 5 days in Rome. You want to meet a friend in Rome between day 7 and day 11. You would like to visit Edinburgh for 6 days. You have to attend a workshop in Edinburgh between day 11 and day 16.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Krakow, from Warsaw to Rome, from Edinburgh to Krakow, from Rome to Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-7:** Arriving in Warsaw and visit Warsaw for 7 days.\n**Day 7:** Fly from Warsaw to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Edinburgh.\n**Day 11-16:** Visit Edinburgh for 6 days.\n**Day 16:** Fly from Edinburgh to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_293",
    "estimated_output_tokens": 967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 7 days.\n* City: Krakow, Duration: 5 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Edinburgh, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 7 - 11.\n* City: Edinburgh, Fixed Schedule: Day 11 - 16.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 7 days.\n* City: Krakow, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Krakow] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 7 - 11).\n |- The departure day of Warsaw is Day 7. The arrival day of Rome is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Warsaw to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Edinburgh (Day 11 - 16).\n   |- The departure day of Rome is Day 11. The arrival day of Edinburgh is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Warsaw, Rome].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Warsaw, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Warsaw, Rome, Edinburgh, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Warsaw and visit Warsaw for 7 days.\n**Day 7:** Fly from Warsaw to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Edinburgh.\n**Day 11-16:** Visit Edinburgh for 6 days.\n**Day 16:** Fly from Edinburgh to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Venice**Lisbon**Bucharest",
    "ground_truth_durations": "3**7**4**3",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Venice",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 12 and day 14 to tour together. You would like to visit Vienna for 3 days. During day 1 and day 3, you have to attend a conference in Vienna. You would like to visit Lisbon for 4 days. You would like to visit Venice for 7 days.\n\nHere are the cities that have direct flights:\nLisbon and Bucharest, Vienna and Venice, Vienna and Bucharest, Vienna and Lisbon, Venice and Lisbon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 12 and day 14 to tour together. You would like to visit Vienna for 3 days. During day 1 and day 3, you have to attend a conference in Vienna. You would like to visit Lisbon for 4 days. You would like to visit Venice for 7 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Bucharest, from Vienna to Venice, from Vienna to Bucharest, from Vienna to Lisbon, from Venice to Lisbon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_294",
    "estimated_output_tokens": 1264,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Duration: 4 days.\n* City: Venice, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 3.\n* City: Bucharest, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 4 days.\n* City: Venice, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 12 - 14).\n |- The departure day of Vienna is Day 3. The arrival day of Bucharest is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Venice] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 12 - 14).\n   |- The departure day of Lisbon is Day 6. The arrival day of Bucharest is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Lisbon to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Vienna to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 12 - 14).\n   |- The departure day of Venice is Day 9. The arrival day of Bucharest is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 12 - 14).\n     |- The departure day of Lisbon is Day 12. The arrival day of Bucharest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Lisbon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vienna, Venice, Lisbon, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Nice**Reykjavik**Prague",
    "ground_truth_durations": "5**7**2**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Nice",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 7 days. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Prague. You are going to attend a wedding in Prague between day 12 and day 16. You would like to visit Mykonos for 5 days. From day 1 to day 5, there is a annual show you want to attend in Mykonos.\n\nHere are the cities that have direct flights:\nMykonos and Nice, Reykjavik and Prague, Nice and Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 7 days. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Prague. You are going to attend a wedding in Prague between day 12 and day 16. You would like to visit Mykonos for 5 days. From day 1 to day 5, there is a annual show you want to attend in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Nice, from Reykjavik to Prague, from Nice to Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-11:** Visit Nice for 7 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-16:** Visit Prague for 5 days.",
    "id": "trip_planning_example_295",
    "estimated_output_tokens": 1055,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 7 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 5.\n* City: Prague, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Nice, Duration: 7 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 12 - 16).\n |- The departure day of Mykonos is Day 5. The arrival day of Prague is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Nice from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Mykonos to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 12 - 16).\n   |- The departure day of Nice is Day 11. The arrival day of Prague is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Mykonos, Nice].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Prague (Day 12 - 16).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Prague is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Mykonos, Nice, Reykjavik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Reykjavik to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Mykonos, Nice, Reykjavik, Prague].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-11:** Visit Nice for 7 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-16:** Visit Prague for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Split**Helsinki**Dubrovnik",
    "ground_truth_durations": "4**3**3**3",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Split",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 4 and day 6. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Oslo. You plan to stay in Helsinki for 3 days. You are going to attend a wedding in Helsinki between day 6 and day 8.\n\nHere are the cities that have direct flights:\nOslo and Dubrovnik, Helsinki and Dubrovnik, Oslo and Split, Oslo and Helsinki, Split and Helsinki.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 4 and day 6. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Oslo. You plan to stay in Helsinki for 3 days. You are going to attend a wedding in Helsinki between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Oslo to Dubrovnik, from Helsinki to Dubrovnik, from Oslo to Split, from Oslo to Helsinki, from Split to Helsinki.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-8:** Visit Helsinki for 3 days.\n**Day 8:** Fly from Helsinki to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_296",
    "estimated_output_tokens": 1229,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 6.\n* City: Helsinki, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 6).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Split is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 6).\n |- The departure day of Oslo is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Oslo to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 6 - 8).\n   |- The departure day of Split is Day 6. The arrival day of Helsinki is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Oslo, Split, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Helsinki to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Split, Helsinki, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-8:** Visit Helsinki for 3 days.\n**Day 8:** Fly from Helsinki to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Naples**Venice",
    "ground_truth_durations": "6**6**3**7",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Venice"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. You would like to visit Naples for 3 days. You want to spend 6 days in Split. You would like to visit Vilnius for 6 days. During day 1 and day 6, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nNaples and Venice, Vilnius and Split, Split and Naples.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. You would like to visit Naples for 3 days. You want to spend 6 days in Split. You would like to visit Vilnius for 6 days. During day 1 and day 6, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Naples to Venice, from Vilnius to Split, from Split to Naples.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Split.\n**Day 6-11:** Visit Split for 6 days.\n**Day 11:** Fly from Split to Naples.\n**Day 11-13:** Visit Naples for 3 days.\n**Day 13:** Fly from Naples to Venice.\n**Day 13-19:** Visit Venice for 7 days.",
    "id": "trip_planning_example_297",
    "estimated_output_tokens": 1047,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days.\n* City: Naples, Duration: 3 days.\n* City: Split, Duration: 6 days.\n* City: Vilnius, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Venice, Duration: 7 days.\n* City: Naples, Duration: 3 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Naples, Split] and explore these options in order.\n   |- Try arranging to visit Venice from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Vilnius to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Naples] and explore these options in order.\n     |- Try arranging to visit Venice from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Split to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Split to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Vilnius, Split, Naples].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Naples to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Vilnius, Split, Naples, Venice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Vilnius and visit Vilnius for 6 days.\n**Day 6:** Fly from Vilnius to Split.\n**Day 6-11:** Visit Split for 6 days.\n**Day 11:** Fly from Split to Naples.\n**Day 11-13:** Visit Naples for 3 days.\n**Day 13:** Fly from Naples to Venice.\n**Day 13-19:** Visit Venice for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Helsinki**Vilnius**Split",
    "ground_truth_durations": "4**4**7**4",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Split"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Geneva",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You plan to stay in Vilnius for 7 days. You have to attend a workshop in Vilnius between day 7 and day 13. You want to spend 4 days in Split. You plan to visit relatives in Split between day 13 and day 16. You want to spend 4 days in Helsinki.\n\nHere are the cities that have direct flights:\nHelsinki and Split, Geneva and Helsinki, Helsinki and Vilnius, Vilnius and Split, Geneva and Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You plan to stay in Vilnius for 7 days. You have to attend a workshop in Vilnius between day 7 and day 13. You want to spend 4 days in Split. You plan to visit relatives in Split between day 13 and day 16. You want to spend 4 days in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Split, from Geneva to Helsinki, from Helsinki to Vilnius, from Vilnius to Split, from Geneva to Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Vilnius.\n**Day 7-13:** Visit Vilnius for 7 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-16:** Visit Split for 4 days.",
    "id": "trip_planning_example_298",
    "estimated_output_tokens": 1026,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 4 days.\n* City: Vilnius, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 7 - 13.\n* City: Split, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Geneva, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Helsinki] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 7 - 13).\n |- The departure day of Geneva is Day 4. The arrival day of Vilnius is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 7 - 13).\n   |- The departure day of Helsinki is Day 7. The arrival day of Vilnius is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 13 - 16).\n     |- The departure day of Vilnius is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Geneva, Helsinki, Vilnius].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n       |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Vilnius to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Geneva, Helsinki, Vilnius, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Vilnius.\n**Day 7-13:** Visit Vilnius for 7 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-16:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Athens**Stockholm**Santorini",
    "ground_truth_durations": "5**6**2**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 1 and day 5. You plan to stay in Santorini for 6 days. You want to spend 2 days in Stockholm. You would like to visit Athens for 6 days. You are going to attend a wedding in Athens between day 5 and day 10.\n\nHere are the cities that have direct flights:\nParis and Stockholm, Paris and Athens, Athens and Santorini, Athens and Stockholm, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 1 and day 5. You plan to stay in Santorini for 6 days. You want to spend 2 days in Stockholm. You would like to visit Athens for 6 days. You are going to attend a wedding in Athens between day 5 and day 10.\n\nHere are the cities that have direct flights:\nfrom Paris to Stockholm, from Paris to Athens, from Athens to Santorini, from Athens to Stockholm, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-10:** Visit Athens for 6 days.\n**Day 10:** Fly from Athens to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-16:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_299",
    "estimated_output_tokens": 1159,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Duration: 6 days.\n* City: Stockholm, Duration: 2 days.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: Santorini, Duration: 6 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 10).\n |- The departure day of Paris is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Paris to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Paris, Athens].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Paris, Athens, Santorini].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Santorini to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Athens to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Paris, Athens, Stockholm].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Paris, Athens, Stockholm, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-10:** Visit Athens for 6 days.\n**Day 10:** Fly from Athens to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-16:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Lyon**Munich**Zurich",
    "ground_truth_durations": "5**4**7**7",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Zurich"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Munich",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 7 days. You would like to visit Munich for 7 days. You plan to visit relatives in Munich between day 8 and day 14. You plan to stay in Lyon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lyon. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Zurich, London and Lyon, London and Munich, Lyon and Munich, Munich and Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 7 days. You would like to visit Munich for 7 days. You plan to visit relatives in Munich between day 8 and day 14. You plan to stay in Lyon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lyon. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Zurich, from London to Lyon, from London to Munich, from Lyon to Munich, from Munich to Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Munich.\n**Day 8-14:** Visit Munich for 7 days.\n**Day 14:** Fly from Munich to Zurich.\n**Day 14-20:** Visit Zurich for 7 days.",
    "id": "trip_planning_example_300",
    "estimated_output_tokens": 1065,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 7 days.\n* City: Munich, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: London, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 5 - 8.\n* City: Munich, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Zurich, Duration: 7 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, London] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 8).\n |- The departure day of Zurich is Day 7. The arrival day of Lyon is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 8).\n |- The departure day of London is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from London to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 8 - 14).\n   |- The departure day of Lyon is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Lyon to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [London, Lyon, Munich].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Munich to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [London, Lyon, Munich, Zurich].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Munich.\n**Day 8-14:** Visit Munich for 7 days.\n**Day 14:** Fly from Munich to Zurich.\n**Day 14-20:** Visit Zurich for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Bucharest**Paris**Krakow",
    "ground_truth_durations": "2**3**7**7",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Krakow"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Dublin",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. From day 2 to day 4, there is a annual show you want to attend in Bucharest. You would like to visit Dublin for 2 days. You want to spend 7 days in Paris. You have to attend a workshop in Paris between day 4 and day 10. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nParis and Krakow, Bucharest and Paris, Dublin and Paris, Dublin and Krakow, Dublin and Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Bucharest. From day 2 to day 4, there is a annual show you want to attend in Bucharest. You would like to visit Dublin for 2 days. You want to spend 7 days in Paris. You have to attend a workshop in Paris between day 4 and day 10. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Paris to Krakow, from Bucharest to Paris, from Dublin to Paris, from Dublin to Krakow, from Dublin to Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Bucharest.\n**Day 2-4:** Visit Bucharest for 3 days.\n**Day 4:** Fly from Bucharest to Paris.\n**Day 4-10:** Visit Paris for 7 days.\n**Day 10:** Fly from Paris to Krakow.\n**Day 10-16:** Visit Krakow for 7 days.",
    "id": "trip_planning_example_301",
    "estimated_output_tokens": 982,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Dublin, Duration: 2 days.\n* City: Paris, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n* City: Krakow, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 2 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Dublin, Duration: 2 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Krakow] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 2 - 4).\n |- The departure day of Dublin is Day 2. The arrival day of Bucharest is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dublin to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 4 - 10).\n   |- The departure day of Bucharest is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dublin, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Bucharest to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Bucharest, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Paris to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Dublin, Bucharest, Paris, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Bucharest.\n**Day 2-4:** Visit Bucharest for 3 days.\n**Day 4:** Fly from Bucharest to Paris.\n**Day 4-10:** Visit Paris for 7 days.\n**Day 10:** Fly from Paris to Krakow.\n**Day 10-16:** Visit Krakow for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Dublin**Tallinn**Warsaw",
    "ground_truth_durations": "4**7**3**2",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Santorini",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 2 days. You would like to visit Tallinn for 3 days. From day 10 to day 12, there is a annual show you want to attend in Tallinn. You want to spend 4 days in Santorini. You would like to visit Dublin for 7 days.\n\nHere are the cities that have direct flights:\nTallinn and Warsaw, Dublin and Tallinn, Santorini and Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 2 days. You would like to visit Tallinn for 3 days. From day 10 to day 12, there is a annual show you want to attend in Tallinn. You want to spend 4 days in Santorini. You would like to visit Dublin for 7 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Warsaw, from Dublin to Tallinn, from Santorini to Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Santorini and visit Santorini for 4 days.\n**Day 4:** Fly from Santorini to Dublin.\n**Day 4-10:** Visit Dublin for 7 days.\n**Day 10:** Fly from Dublin to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Warsaw.\n**Day 12-13:** Visit Warsaw for 2 days.",
    "id": "trip_planning_example_302",
    "estimated_output_tokens": 1339,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 2 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Santorini, Duration: 4 days.\n* City: Dublin, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Dublin, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Santorini, Dublin] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 10 - 12).\n |- The departure day of Warsaw is Day 2. The arrival day of Tallinn is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Warsaw to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 10 - 12).\n |- The departure day of Santorini is Day 4. The arrival day of Tallinn is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Dublin] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Santorini to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 10 - 12).\n   |- The departure day of Dublin is Day 10. The arrival day of Tallinn is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Santorini, Dublin].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Dublin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Santorini, Dublin, Tallinn].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Tallinn to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Santorini, Dublin, Tallinn, Warsaw].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Santorini and visit Santorini for 4 days.\n**Day 4:** Fly from Santorini to Dublin.\n**Day 4-10:** Visit Dublin for 7 days.\n**Day 10:** Fly from Dublin to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Warsaw.\n**Day 12-13:** Visit Warsaw for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Porto**Amsterdam**Budapest",
    "ground_truth_durations": "7**6**3**7",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 7,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You want to spend 7 days in Lyon. You want to spend 7 days in Budapest. You would like to visit Porto for 6 days. During day 7 and day 12, you have to attend a conference in Porto.\n\nHere are the cities that have direct flights:\nAmsterdam and Budapest, Lyon and Amsterdam, Porto and Amsterdam, Lyon and Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You want to spend 7 days in Lyon. You want to spend 7 days in Budapest. You would like to visit Porto for 6 days. During day 7 and day 12, you have to attend a conference in Porto.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Budapest, from Lyon to Amsterdam, from Porto to Amsterdam, from Lyon to Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Porto.\n**Day 7-12:** Visit Porto for 6 days.\n**Day 12:** Fly from Porto to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Budapest.\n**Day 14-20:** Visit Budapest for 7 days.",
    "id": "trip_planning_example_303",
    "estimated_output_tokens": 1276,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days.\n* City: Lyon, Duration: 7 days.\n* City: Budapest, Duration: 7 days.\n* City: Porto, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Lyon, Duration: 7 days.\n* City: Budapest, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Lyon, Budapest] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 7 - 12).\n |- The departure day of Amsterdam is Day 3. The arrival day of Porto is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Amsterdam to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Amsterdam to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 7 - 12).\n   |- The departure day of Budapest is Day 9. The arrival day of Porto is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 7 - 12).\n |- The departure day of Lyon is Day 7. The arrival day of Porto is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Lyon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Lyon, Porto].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Budapest] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Porto to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Lyon, Porto, Amsterdam].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Amsterdam to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Lyon, Porto, Amsterdam, Budapest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Lyon and visit Lyon for 7 days.\n**Day 7:** Fly from Lyon to Porto.\n**Day 7-12:** Visit Porto for 6 days.\n**Day 12:** Fly from Porto to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Budapest.\n**Day 14-20:** Visit Budapest for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Bucharest**Vienna**Nice",
    "ground_truth_durations": "7**6**6**2",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Valencia",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Valencia. You are going to attend a wedding in Valencia between day 1 and day 7. You would like to visit Vienna for 6 days. You would like to visit Nice for 2 days. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nBucharest and Vienna, Valencia and Bucharest, Vienna and Nice, Valencia and Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Valencia. You are going to attend a wedding in Valencia between day 1 and day 7. You would like to visit Vienna for 6 days. You would like to visit Nice for 2 days. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Vienna, from Valencia to Bucharest, from Vienna to Nice, from Valencia to Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-7:** Arriving in Valencia and visit Valencia for 7 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Vienna.\n**Day 12-17:** Visit Vienna for 6 days.\n**Day 17:** Fly from Vienna to Nice.\n**Day 17-18:** Visit Nice for 2 days.",
    "id": "trip_planning_example_304",
    "estimated_output_tokens": 1377,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Vienna, Duration: 6 days.\n* City: Nice, Duration: 2 days.\n* City: Bucharest, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Vienna, Duration: 6 days.\n* City: Nice, Duration: 2 days.\n* City: Bucharest, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Nice, Bucharest] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Valencia to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Valencia, Vienna].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Bucharest] and explore these options in order.\n     |- Try arranging to visit Nice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Vienna to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Valencia, Vienna, Nice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Nice to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Vienna to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Valencia to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Valencia to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Valencia, Bucharest].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Nice] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Bucharest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Valencia, Bucharest, Vienna].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n       |- Try arranging to visit Nice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n       |- Check for direct flight from Vienna to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Valencia, Bucharest, Vienna, Nice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Valencia and visit Valencia for 7 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Vienna.\n**Day 12-17:** Visit Vienna for 6 days.\n**Day 17:** Fly from Vienna to Nice.\n**Day 17-18:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Brussels**Helsinki**Split",
    "ground_truth_durations": "7**3**4**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Florence",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 3 days. You want to spend 4 days in Helsinki. You would like to visit Split for 6 days. You want to spend 7 days in Florence. You are going to attend a wedding in Florence between day 1 and day 7.\n\nHere are the cities that have direct flights:\nBrussels and Helsinki, Helsinki and Split, Florence and Brussels.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 3 days. You want to spend 4 days in Helsinki. You would like to visit Split for 6 days. You want to spend 7 days in Florence. You are going to attend a wedding in Florence between day 1 and day 7.\n\nHere are the cities that have direct flights:\nfrom Brussels to Helsinki, from Helsinki to Split, from Florence to Brussels.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-7:** Arriving in Florence and visit Florence for 7 days.\n**Day 7:** Fly from Florence to Brussels.\n**Day 7-9:** Visit Brussels for 3 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Split.\n**Day 12-17:** Visit Split for 6 days.",
    "id": "trip_planning_example_305",
    "estimated_output_tokens": 878,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Split, Duration: 6 days.\n* City: Florence, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Brussels, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Helsinki, Split] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Florence to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Brussels].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Split] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Florence, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Florence, Brussels, Helsinki, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Florence and visit Florence for 7 days.\n**Day 7:** Fly from Florence to Brussels.\n**Day 7-9:** Visit Brussels for 3 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Split.\n**Day 12-17:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Reykjavik**Vienna**Valencia",
    "ground_truth_durations": "6**4**5**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You want to spend 6 days in Helsinki. You plan to stay in Reykjavik for 4 days. During day 6 and day 9, you have to attend a conference in Reykjavik. You would like to visit Valencia for 2 days. From day 13 to day 14, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nHelsinki and Reykjavik, Helsinki and Vienna, Vienna and Valencia, Reykjavik and Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You want to spend 6 days in Helsinki. You plan to stay in Reykjavik for 4 days. During day 6 and day 9, you have to attend a conference in Reykjavik. You would like to visit Valencia for 2 days. From day 13 to day 14, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Reykjavik, from Helsinki to Vienna, from Vienna to Valencia, from Reykjavik to Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_306",
    "estimated_output_tokens": 1291,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days.\n* City: Helsinki, Duration: 6 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 9.\n* City: Valencia, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Helsinki, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Helsinki] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 9).\n |- The departure day of Vienna is Day 5. The arrival day of Reykjavik is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Vienna to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 9).\n |- The departure day of Helsinki is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Helsinki to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 13 - 14).\n   |- The departure day of Reykjavik is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Helsinki, Reykjavik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Reykjavik to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 14).\n     |- The departure day of Vienna is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Helsinki, Reykjavik, Vienna].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Vienna to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Helsinki, Reykjavik, Vienna, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Helsinki and visit Helsinki for 6 days.\n**Day 6:** Fly from Helsinki to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Stuttgart**Krakow**Vilnius",
    "ground_truth_durations": "2**7**6**3",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 6 days. You plan to stay in Stuttgart for 7 days. You would like to visit Vilnius for 3 days. You want to spend 2 days in Copenhagen. You plan to visit relatives in Copenhagen between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, Copenhagen and Vilnius, Stuttgart and Krakow, Copenhagen and Stuttgart, Copenhagen and Krakow.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 6 days. You plan to stay in Stuttgart for 7 days. You would like to visit Vilnius for 3 days. You want to spend 2 days in Copenhagen. You plan to visit relatives in Copenhagen between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, from Copenhagen to Vilnius, from Stuttgart to Krakow, from Copenhagen to Stuttgart, from Copenhagen to Krakow.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Stuttgart.\n**Day 2-8:** Visit Stuttgart for 7 days.\n**Day 8:** Fly from Stuttgart to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_307",
    "estimated_output_tokens": 1363,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 6 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Vilnius, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Krakow, Duration: 6 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Stuttgart, Vilnius] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Copenhagen to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Krakow].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vilnius] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Krakow to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Vilnius to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Copenhagen to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Stuttgart to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Copenhagen, Stuttgart, Krakow].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Copenhagen, Stuttgart, Krakow, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Stuttgart.\n**Day 2-8:** Visit Stuttgart for 7 days.\n**Day 8:** Fly from Stuttgart to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Frankfurt**Stockholm**Santorini",
    "ground_truth_durations": "4**5**5**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 6 days. You want to spend 4 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 1 and day 4. You plan to stay in Frankfurt for 5 days. You want to spend 5 days in Stockholm. From day 8 to day 12, there is a annual show you want to attend in Stockholm.\n\nHere are the cities that have direct flights:\nFrankfurt and Stockholm, from Stockholm to Santorini, Dubrovnik and Stockholm, Dubrovnik and Frankfurt.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 6 days. You want to spend 4 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 1 and day 4. You plan to stay in Frankfurt for 5 days. You want to spend 5 days in Stockholm. From day 8 to day 12, there is a annual show you want to attend in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Stockholm, from Stockholm to Santorini, from Dubrovnik to Stockholm, from Dubrovnik to Frankfurt.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Santorini.\n**Day 12-17:** Visit Santorini for 6 days.",
    "id": "trip_planning_example_308",
    "estimated_output_tokens": 1050,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 6 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 5 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Stockholm, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Santorini, Duration: 6 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 8 - 12).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Stockholm is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 8 - 12).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dubrovnik, Frankfurt, Stockholm].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Dubrovnik, Frankfurt, Stockholm, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Santorini.\n**Day 12-17:** Visit Santorini for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Berlin**Zurich**Bucharest",
    "ground_truth_durations": "2**6**7**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Berlin",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 13 and day 17. You want to spend 6 days in Berlin. You plan to stay in Frankfurt for 2 days. During day 1 and day 2, you have to attend a conference in Frankfurt. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Zurich, Frankfurt and Bucharest, Zurich and Bucharest, Frankfurt and Berlin, Berlin and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 13 and day 17. You want to spend 6 days in Berlin. You plan to stay in Frankfurt for 2 days. During day 1 and day 2, you have to attend a conference in Frankfurt. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Zurich, from Frankfurt to Bucharest, from Zurich to Bucharest, from Frankfurt to Berlin, from Berlin to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Berlin.\n**Day 2-7:** Visit Berlin for 6 days.\n**Day 7:** Fly from Berlin to Zurich.\n**Day 7-13:** Visit Zurich for 7 days.\n**Day 13:** Fly from Zurich to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_309",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Berlin, Duration: 6 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Zurich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 2.\n* City: Bucharest, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Berlin, Duration: 6 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 13 - 17).\n |- The departure day of Frankfurt is Day 2. The arrival day of Bucharest is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Zurich] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Frankfurt to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 13 - 17).\n   |- The departure day of Berlin is Day 7. The arrival day of Bucharest is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Berlin to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 13 - 17).\n     |- The departure day of Zurich is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Frankfurt, Berlin, Zurich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Zurich to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Frankfurt, Berlin, Zurich, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Berlin.\n**Day 2-7:** Visit Berlin for 6 days.\n**Day 7:** Fly from Berlin to Zurich.\n**Day 7-13:** Visit Zurich for 7 days.\n**Day 13:** Fly from Zurich to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Venice**Naples**Bucharest",
    "ground_truth_durations": "4**4**5**2",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Venice",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to visit Lisbon for 4 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 7 and day 11. You would like to visit Venice for 4 days. From day 4 to day 7, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nLisbon and Venice, Lisbon and Bucharest, Naples and Bucharest, Lisbon and Naples, Venice and Naples.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to visit Lisbon for 4 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 7 and day 11. You would like to visit Venice for 4 days. From day 4 to day 7, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Venice, from Lisbon to Bucharest, from Naples to Bucharest, from Lisbon to Naples, from Venice to Naples.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_310",
    "estimated_output_tokens": 1223,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 7.\n* City: Naples, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Lisbon] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 7).\n |- The departure day of Bucharest is Day 2. The arrival day of Venice is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 7).\n |- The departure day of Lisbon is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lisbon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 7 - 11).\n   |- The departure day of Venice is Day 7. The arrival day of Naples is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lisbon, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lisbon, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Naples to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Venice, Naples, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Nice**Barcelona**Santorini",
    "ground_truth_durations": "7**7**3**3",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Barcelona",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 7 days. You plan to stay in Nice for 7 days. You have to attend a workshop in Nice between day 7 and day 13. You plan to stay in Barcelona for 3 days. You would like to meet your friends at Barcelona between day 13 and day 15 to tour together. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Barcelona, Copenhagen and Santorini, Nice and Barcelona, Copenhagen and Nice, Barcelona and Santorini.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 7 days. You plan to stay in Nice for 7 days. You have to attend a workshop in Nice between day 7 and day 13. You plan to stay in Barcelona for 3 days. You would like to meet your friends at Barcelona between day 13 and day 15 to tour together. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Barcelona, from Copenhagen to Santorini, from Nice to Barcelona, from Copenhagen to Nice, from Barcelona to Santorini.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Nice.\n**Day 7-13:** Visit Nice for 7 days.\n**Day 13:** Fly from Nice to Barcelona.\n**Day 13-15:** Visit Barcelona for 3 days.\n**Day 15:** Fly from Barcelona to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_311",
    "estimated_output_tokens": 975,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 7 days.\n* City: Nice, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Santorini, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 7 - 13.\n* City: Barcelona, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 7 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Santorini] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 13).\n |- The departure day of Copenhagen is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Copenhagen to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Barcelona (Day 13 - 15).\n   |- The departure day of Nice is Day 13. The arrival day of Barcelona is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Copenhagen, Nice].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Nice to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Copenhagen, Nice, Barcelona].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Copenhagen, Nice, Barcelona, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Nice.\n**Day 7-13:** Visit Nice for 7 days.\n**Day 13:** Fly from Nice to Barcelona.\n**Day 13-15:** Visit Barcelona for 3 days.\n**Day 15:** Fly from Barcelona to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Stockholm**Munich**Lyon",
    "ground_truth_durations": "5**3**3**4",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 1 and day 5. You would like to visit Munich for 3 days. You want to spend 3 days in Stockholm. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Stockholm, Stockholm and Munich, Munich and Lyon, Copenhagen and Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 1 and day 5. You would like to visit Munich for 3 days. You want to spend 3 days in Stockholm. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Stockholm, from Stockholm to Munich, from Munich to Lyon, from Copenhagen to Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Stockholm.\n**Day 5-7:** Visit Stockholm for 3 days.\n**Day 7:** Fly from Stockholm to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Lyon.\n**Day 9-12:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_312",
    "estimated_output_tokens": 1317,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Stockholm, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Copenhagen to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Lyon] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Munich to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Munich to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Munich, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Lyon to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Copenhagen to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Lyon] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Stockholm, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Stockholm, Munich, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Stockholm.\n**Day 5-7:** Visit Stockholm for 3 days.\n**Day 7:** Fly from Stockholm to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Lyon.\n**Day 9-12:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Vienna**Prague**Tallinn",
    "ground_truth_durations": "5**7**2**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 12,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Stockholm",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Vienna. You want to spend 2 days in Prague. You would like to visit Stockholm for 5 days. From day 1 to day 5, there is a annual show you want to attend in Stockholm. You want to spend 6 days in Tallinn. You want to meet a friend in Tallinn between day 12 and day 17.\n\nHere are the cities that have direct flights:\nStockholm and Tallinn, Stockholm and Prague, Prague and Tallinn, Vienna and Prague, Stockholm and Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Vienna. You want to spend 2 days in Prague. You would like to visit Stockholm for 5 days. From day 1 to day 5, there is a annual show you want to attend in Stockholm. You want to spend 6 days in Tallinn. You want to meet a friend in Tallinn between day 12 and day 17.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Tallinn, from Stockholm to Prague, from Prague to Tallinn, from Vienna to Prague, from Stockholm to Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Vienna.\n**Day 5-11:** Visit Vienna for 7 days.\n**Day 11:** Fly from Vienna to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-17:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_313",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 7 days.\n* City: Prague, Duration: 2 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 7 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 12 - 17).\n |- The departure day of Stockholm is Day 5. The arrival day of Tallinn is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Prague] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Stockholm to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 12 - 17).\n   |- The departure day of Vienna is Day 11. The arrival day of Tallinn is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Stockholm, Vienna].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n     |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Vienna to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 12 - 17).\n     |- The departure day of Prague is Day 12. The arrival day of Tallinn is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stockholm, Vienna, Prague].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Stockholm, Vienna, Prague, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Vienna.\n**Day 5-11:** Visit Vienna for 7 days.\n**Day 11:** Fly from Vienna to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-17:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Venice**Madrid**Mykonos",
    "ground_truth_durations": "4**6**2**4",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Nice",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You would like to visit Nice for 4 days. You plan to visit relatives in Nice between day 1 and day 4. You plan to stay in Mykonos for 4 days. During day 10 and day 13, you have to attend a conference in Mykonos. You would like to visit Madrid for 2 days.\n\nHere are the cities that have direct flights:\nNice and Mykonos, Madrid and Mykonos, Nice and Venice, Venice and Madrid, Nice and Madrid.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 6 days. You would like to visit Nice for 4 days. You plan to visit relatives in Nice between day 1 and day 4. You plan to stay in Mykonos for 4 days. During day 10 and day 13, you have to attend a conference in Mykonos. You would like to visit Madrid for 2 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Mykonos, from Madrid to Mykonos, from Nice to Venice, from Venice to Madrid, from Nice to Madrid.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Venice.\n**Day 4-9:** Visit Venice for 6 days.\n**Day 9:** Fly from Venice to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_314",
    "estimated_output_tokens": 1018,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 6 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Madrid, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 6 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 10 - 13).\n |- The departure day of Nice is Day 4. The arrival day of Mykonos is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Madrid] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Nice to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 10 - 13).\n   |- The departure day of Venice is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 13).\n     |- The departure day of Madrid is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Nice, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Venice, Madrid, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Venice.\n**Day 4-9:** Visit Venice for 6 days.\n**Day 9:** Fly from Venice to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Stuttgart**Paris**Oslo",
    "ground_truth_durations": "2**4**7**7",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Stuttgart",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 2 and day 5. You plan to stay in Paris for 7 days. You plan to visit relatives in Paris between day 5 and day 11. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nAmsterdam and Stuttgart, Amsterdam and Paris, Amsterdam and Oslo, Paris and Oslo, Stuttgart and Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 2 and day 5. You plan to stay in Paris for 7 days. You plan to visit relatives in Paris between day 5 and day 11. You want to spend 7 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Stuttgart, from Amsterdam to Paris, from Amsterdam to Oslo, from Paris to Oslo, from Stuttgart to Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-2:** Arriving in Amsterdam and visit Amsterdam for 2 days.\n**Day 2:** Fly from Amsterdam to Stuttgart.\n**Day 2-5:** Visit Stuttgart for 4 days.\n**Day 5:** Fly from Stuttgart to Paris.\n**Day 5-11:** Visit Paris for 7 days.\n**Day 11:** Fly from Paris to Oslo.\n**Day 11-17:** Visit Oslo for 7 days.",
    "id": "trip_planning_example_315",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Paris, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Oslo, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 2 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 11.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Oslo, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Oslo] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 5).\n |- The departure day of Amsterdam is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Amsterdam to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 5 - 11).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Stuttgart to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Amsterdam, Stuttgart, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Paris to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Amsterdam, Stuttgart, Paris, Oslo].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Amsterdam and visit Amsterdam for 2 days.\n**Day 2:** Fly from Amsterdam to Stuttgart.\n**Day 2-5:** Visit Stuttgart for 4 days.\n**Day 5:** Fly from Stuttgart to Paris.\n**Day 5-11:** Visit Paris for 7 days.\n**Day 11:** Fly from Paris to Oslo.\n**Day 11-17:** Visit Oslo for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Budapest**Vienna**Dubrovnik",
    "ground_truth_durations": "7**4**3**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Hamburg",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 3 days in Vienna. You would like to visit Budapest for 4 days. You want to spend 7 days in Hamburg. During day 1 and day 7, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nHamburg and Vienna, Budapest and Vienna, Vienna and Dubrovnik, Hamburg and Budapest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 3 days in Vienna. You would like to visit Budapest for 4 days. You want to spend 7 days in Hamburg. During day 1 and day 7, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Vienna, from Budapest to Vienna, from Vienna to Dubrovnik, from Hamburg to Budapest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Budapest.\n**Day 7-10:** Visit Budapest for 4 days.\n**Day 10:** Fly from Budapest to Vienna.\n**Day 10-12:** Visit Vienna for 3 days.\n**Day 12:** Fly from Vienna to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_316",
    "estimated_output_tokens": 1442,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna, Budapest] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Hamburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Hamburg to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Budapest] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vienna to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Hamburg, Vienna, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Dubrovnik to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Vienna to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Budapest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Budapest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Hamburg, Budapest, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Vienna to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Hamburg, Budapest, Vienna, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Budapest.\n**Day 7-10:** Visit Budapest for 4 days.\n**Day 10:** Fly from Budapest to Vienna.\n**Day 10-12:** Visit Vienna for 3 days.\n**Day 12:** Fly from Vienna to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Bucharest**Warsaw**Riga",
    "ground_truth_durations": "4**6**6**4",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Dublin",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 14 and day 17. You want to spend 6 days in Warsaw. You want to spend 6 days in Bucharest. You plan to stay in Dublin for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dublin.\n\nHere are the cities that have direct flights:\nBucharest and Riga, Warsaw and Riga, Bucharest and Warsaw, Dublin and Bucharest, Dublin and Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 14 and day 17. You want to spend 6 days in Warsaw. You want to spend 6 days in Bucharest. You plan to stay in Dublin for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dublin.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Riga, from Warsaw to Riga, from Bucharest to Warsaw, from Dublin to Bucharest, from Dublin to Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Bucharest.\n**Day 4-9:** Visit Bucharest for 6 days.\n**Day 9:** Fly from Bucharest to Warsaw.\n**Day 9-14:** Visit Warsaw for 6 days.\n**Day 14:** Fly from Warsaw to Riga.\n**Day 14-17:** Visit Riga for 4 days.",
    "id": "trip_planning_example_317",
    "estimated_output_tokens": 1067,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Warsaw, Duration: 6 days.\n* City: Bucharest, Duration: 6 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 4.\n* City: Riga, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 6 days.\n* City: Bucharest, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 14 - 17).\n |- The departure day of Dublin is Day 4. The arrival day of Riga is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dublin to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dublin to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 14 - 17).\n   |- The departure day of Bucharest is Day 9. The arrival day of Riga is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Dublin, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Bucharest to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 14 - 17).\n     |- The departure day of Warsaw is Day 14. The arrival day of Riga is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Dublin, Bucharest, Warsaw].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Warsaw to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Dublin, Bucharest, Warsaw, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Bucharest.\n**Day 4-9:** Visit Bucharest for 6 days.\n**Day 9:** Fly from Bucharest to Warsaw.\n**Day 9-14:** Visit Warsaw for 6 days.\n**Day 14:** Fly from Warsaw to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**London**Hamburg**Split",
    "ground_truth_durations": "2**6**7**3",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 7,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "London",
        "Hamburg"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit London for 6 days. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 1 and day 2. You want to spend 3 days in Split. You plan to stay in Hamburg for 7 days. You are going to attend a wedding in Hamburg between day 7 and day 13.\n\nHere are the cities that have direct flights:\nLondon and Hamburg, Valencia and London, London and Split, Hamburg and Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit London for 6 days. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 1 and day 2. You want to spend 3 days in Split. You plan to stay in Hamburg for 7 days. You are going to attend a wedding in Hamburg between day 7 and day 13.\n\nHere are the cities that have direct flights:\nfrom London to Hamburg, from Valencia to London, from London to Split, from Hamburg to Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Hamburg.\n**Day 7-13:** Visit Hamburg for 7 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-15:** Visit Split for 3 days.",
    "id": "trip_planning_example_318",
    "estimated_output_tokens": 956,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 6 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Split, Duration: 3 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: London, Duration: 6 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 7 - 13).\n |- The departure day of Valencia is Day 2. The arrival day of Hamburg is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Split] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Valencia to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 7 - 13).\n   |- The departure day of London is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from London to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Valencia, London, Hamburg].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Hamburg to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Valencia, London, Hamburg, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Hamburg.\n**Day 7-13:** Visit Hamburg for 7 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-15:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Split**Frankfurt**Tallinn",
    "ground_truth_durations": "6**3**3**5",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You plan to stay in Tallinn for 5 days. You would like to visit Frankfurt for 3 days. You want to spend 6 days in Madrid. From day 1 to day 6, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nMadrid and Frankfurt, Madrid and Split, Split and Frankfurt, Frankfurt and Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You plan to stay in Tallinn for 5 days. You would like to visit Frankfurt for 3 days. You want to spend 6 days in Madrid. From day 1 to day 6, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nfrom Madrid to Frankfurt, from Madrid to Split, from Split to Frankfurt, from Frankfurt to Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_319",
    "estimated_output_tokens": 936,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Madrid, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Split from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Madrid to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Split to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Split to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Split, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Madrid, Split, Frankfurt, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Madrid and visit Madrid for 6 days.\n**Day 6:** Fly from Madrid to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Edinburgh**Riga**Nice",
    "ground_truth_durations": "7**2**2**6",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Geneva",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You want to spend 7 days in Geneva. You want to spend 6 days in Nice. From day 9 to day 14, there is a annual show you want to attend in Nice. You plan to stay in Riga for 2 days. You have to attend a workshop in Riga between day 8 and day 9.\n\nHere are the cities that have direct flights:\nEdinburgh and Nice, Edinburgh and Riga, Geneva and Edinburgh, Riga and Nice, Geneva and Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You want to spend 7 days in Geneva. You want to spend 6 days in Nice. From day 9 to day 14, there is a annual show you want to attend in Nice. You plan to stay in Riga for 2 days. You have to attend a workshop in Riga between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Nice, from Edinburgh to Riga, from Geneva to Edinburgh, from Riga to Nice, from Geneva to Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-7:** Arriving in Geneva and visit Geneva for 7 days.\n**Day 7:** Fly from Geneva to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Nice.\n**Day 9-14:** Visit Nice for 6 days.",
    "id": "trip_planning_example_320",
    "estimated_output_tokens": 1258,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Geneva, Duration: 7 days.\n* City: Nice, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 8 - 9.\n* City: Nice, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Geneva, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Geneva] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 9).\n |- The departure day of Edinburgh is Day 2. The arrival day of Riga is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Edinburgh to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 9).\n |- The departure day of Geneva is Day 7. The arrival day of Riga is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Geneva to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 8 - 9).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Geneva, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Edinburgh to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 14).\n     |- The departure day of Riga is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Edinburgh, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Riga to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Edinburgh, Riga, Nice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Geneva and visit Geneva for 7 days.\n**Day 7:** Fly from Geneva to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Nice.\n**Day 9-14:** Visit Nice for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Milan**Madrid**Mykonos",
    "ground_truth_durations": "6**2**6**2",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 7,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Milan"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Milan",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You plan to visit relatives in Milan between day 6 and day 7. You plan to stay in Mykonos for 2 days. You would like to visit Krakow for 6 days. You want to spend 6 days in Madrid. You would like to meet your friends at Madrid between day 7 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Milan, Madrid and Mykonos, Milan and Madrid, Milan and Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You plan to visit relatives in Milan between day 6 and day 7. You plan to stay in Mykonos for 2 days. You would like to visit Krakow for 6 days. You want to spend 6 days in Madrid. You would like to meet your friends at Madrid between day 7 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Milan, from Madrid to Mykonos, from Milan to Madrid, from Milan to Mykonos.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-6:** Arriving in Krakow and visit Krakow for 6 days.\n**Day 6:** Fly from Krakow to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Madrid.\n**Day 7-12:** Visit Madrid for 6 days.\n**Day 12:** Fly from Madrid to Mykonos.\n**Day 12-13:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_321",
    "estimated_output_tokens": 1246,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Mykonos, Duration: 2 days.\n* City: Krakow, Duration: 6 days.\n* City: Madrid, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 6 - 7.\n* City: Madrid, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Krakow, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Krakow] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 7).\n |- The departure day of Mykonos is Day 2. The arrival day of Milan is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Mykonos to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 7).\n |- The departure day of Krakow is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Krakow to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 7 - 12).\n   |- The departure day of Milan is Day 7. The arrival day of Madrid is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Krakow, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Milan to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Krakow, Milan, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Milan, Madrid, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Krakow and visit Krakow for 6 days.\n**Day 6:** Fly from Krakow to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Madrid.\n**Day 7-12:** Visit Madrid for 6 days.\n**Day 12:** Fly from Madrid to Mykonos.\n**Day 12-13:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Valencia**Copenhagen**Helsinki",
    "ground_truth_durations": "2**2**2**4",
    "num_cities": 4,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Stuttgart",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You have to attend a workshop in Helsinki between day 4 and day 7. You want to spend 2 days in Stuttgart. During day 1 and day 2, you have to attend a conference in Stuttgart. You plan to stay in Valencia for 2 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nValencia and Copenhagen, Copenhagen and Helsinki, Stuttgart and Copenhagen, Stuttgart and Valencia.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You have to attend a workshop in Helsinki between day 4 and day 7. You want to spend 2 days in Stuttgart. During day 1 and day 2, you have to attend a conference in Stuttgart. You plan to stay in Valencia for 2 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Copenhagen, from Copenhagen to Helsinki, from Stuttgart to Copenhagen, from Stuttgart to Valencia.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 7 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.",
    "id": "trip_planning_example_322",
    "estimated_output_tokens": 994,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 4 - 7).\n |- The departure day of Stuttgart is Day 2. The arrival day of Helsinki is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 4 - 7).\n   |- The departure day of Valencia is Day 3. The arrival day of Helsinki is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stuttgart, Valencia].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Valencia to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 4 - 7).\n     |- The departure day of Copenhagen is Day 4. The arrival day of Helsinki is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Stuttgart, Valencia, Copenhagen].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Copenhagen to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Stuttgart, Valencia, Copenhagen, Helsinki].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Split**Oslo**Porto",
    "ground_truth_durations": "7**5**2**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "London",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 5 days. From day 7 to day 11, there is a annual show you want to attend in Split. You would like to visit Oslo for 2 days. You want to spend 7 days in London. You plan to visit relatives in London between day 1 and day 7. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Oslo, Split and Oslo, Oslo and Porto, London and Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 5 days. From day 7 to day 11, there is a annual show you want to attend in Split. You would like to visit Oslo for 2 days. You want to spend 7 days in London. You plan to visit relatives in London between day 1 and day 7. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Oslo, from Split to Oslo, from Oslo to Porto, from London to Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-7:** Arriving in London and visit London for 7 days.\n**Day 7:** Fly from London to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Oslo.\n**Day 11-12:** Visit Oslo for 2 days.\n**Day 12:** Fly from Oslo to Porto.\n**Day 12-16:** Visit Porto for 5 days.",
    "id": "trip_planning_example_323",
    "estimated_output_tokens": 918,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Oslo, Duration: 2 days.\n* City: London, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 7.\n* City: Split, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 7 - 11).\n |- The departure day of London is Day 7. The arrival day of Split is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Split.\n   |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from London to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [London, Split].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Porto] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Split to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [London, Split, Oslo].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Oslo to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [London, Split, Oslo, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in London and visit London for 7 days.\n**Day 7:** Fly from London to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Oslo.\n**Day 11-12:** Visit Oslo for 2 days.\n**Day 12:** Fly from Oslo to Porto.\n**Day 12-16:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Bucharest**Barcelona**Split",
    "ground_truth_durations": "4**6**4**7",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 4,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Split"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Naples",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You would like to visit Split for 7 days. You would like to visit Naples for 4 days. You are going to attend a wedding in Naples between day 1 and day 4. You want to spend 6 days in Bucharest. You want to meet a friend in Bucharest between day 4 and day 9.\n\nHere are the cities that have direct flights:\nBarcelona and Split, Naples and Bucharest, Bucharest and Barcelona, Naples and Split, Naples and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You would like to visit Split for 7 days. You would like to visit Naples for 4 days. You are going to attend a wedding in Naples between day 1 and day 4. You want to spend 6 days in Bucharest. You want to meet a friend in Bucharest between day 4 and day 9.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Split, from Naples to Bucharest, from Bucharest to Barcelona, from Naples to Split, from Naples to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Bucharest.\n**Day 4-9:** Visit Bucharest for 6 days.\n**Day 9:** Fly from Bucharest to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Split.\n**Day 12-18:** Visit Split for 7 days.",
    "id": "trip_planning_example_324",
    "estimated_output_tokens": 939,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Split, Duration: 7 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Fixed Schedule: Day 4 - 9.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 4 - 9).\n |- The departure day of Naples is Day 4. The arrival day of Bucharest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Split] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Bucharest, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Barcelona to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Naples, Bucharest, Barcelona, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Bucharest.\n**Day 4-9:** Visit Bucharest for 6 days.\n**Day 9:** Fly from Bucharest to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Split.\n**Day 12-18:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Porto**Lyon**Venice",
    "ground_truth_durations": "3**7**5**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Lyon"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Lyon",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You want to spend 5 days in Venice. You plan to stay in Lyon for 5 days. During day 9 and day 13, you have to attend a conference in Lyon. You would like to visit Porto for 7 days.\n\nHere are the cities that have direct flights:\nPorto and Lyon, Geneva and Porto, Lyon and Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You want to spend 5 days in Venice. You plan to stay in Lyon for 5 days. During day 9 and day 13, you have to attend a conference in Lyon. You would like to visit Porto for 7 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Lyon, from Geneva to Porto, from Lyon to Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Porto.\n**Day 3-9:** Visit Porto for 7 days.\n**Day 9:** Fly from Porto to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Venice.\n**Day 13-17:** Visit Venice for 5 days.",
    "id": "trip_planning_example_325",
    "estimated_output_tokens": 997,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Porto, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Porto, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Venice, Porto] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 9 - 13).\n |- The departure day of Geneva is Day 3. The arrival day of Lyon is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Porto] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Geneva to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 9 - 13).\n   |- The departure day of Porto is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Geneva, Porto].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Porto to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Geneva, Porto, Lyon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Geneva, Porto, Lyon, Venice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Porto.\n**Day 3-9:** Visit Porto for 7 days.\n**Day 9:** Fly from Porto to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Madrid**Zurich**Krakow",
    "ground_truth_durations": "7**3**6**4",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Madrid",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 7 days. You are going to attend a wedding in Seville between day 1 and day 7. You would like to visit Madrid for 3 days. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 14 and day 17. You want to spend 6 days in Zurich.\n\nHere are the cities that have direct flights:\nZurich and Krakow, Seville and Madrid, Madrid and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 7 days. You are going to attend a wedding in Seville between day 1 and day 7. You would like to visit Madrid for 3 days. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 14 and day 17. You want to spend 6 days in Zurich.\n\nHere are the cities that have direct flights:\nfrom Zurich to Krakow, from Seville to Madrid, from Madrid to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Zurich.\n**Day 9-14:** Visit Zurich for 6 days.\n**Day 14:** Fly from Zurich to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_326",
    "estimated_output_tokens": 1019,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Madrid, Duration: 3 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Zurich, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 7.\n* City: Krakow, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Madrid, Duration: 3 days.\n* City: Zurich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 14 - 17).\n |- The departure day of Seville is Day 7. The arrival day of Krakow is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Zurich] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Seville to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 14 - 17).\n   |- The departure day of Madrid is Day 9. The arrival day of Krakow is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Seville, Madrid].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Madrid to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 14 - 17).\n     |- The departure day of Zurich is Day 14. The arrival day of Krakow is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Seville, Madrid, Zurich].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Zurich to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Seville, Madrid, Zurich, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Seville and visit Seville for 7 days.\n**Day 7:** Fly from Seville to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Zurich.\n**Day 9-14:** Visit Zurich for 6 days.\n**Day 14:** Fly from Zurich to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Venice**Stuttgart**Milan",
    "ground_truth_durations": "7**6**7**7",
    "num_cities": 4,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Venice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 7 days. You have to attend a workshop in Manchester between day 1 and day 7. You want to spend 6 days in Venice. During day 7 and day 12, you have to attend a conference in Venice. You plan to stay in Stuttgart for 7 days. You would like to visit Milan for 7 days.\n\nHere are the cities that have direct flights:\nStuttgart and Milan, Manchester and Stuttgart, Manchester and Venice, Venice and Stuttgart, Manchester and Milan.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 7 days. You have to attend a workshop in Manchester between day 1 and day 7. You want to spend 6 days in Venice. During day 7 and day 12, you have to attend a conference in Venice. You plan to stay in Stuttgart for 7 days. You would like to visit Milan for 7 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Milan, from Manchester to Stuttgart, from Manchester to Venice, from Venice to Stuttgart, from Manchester to Milan.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 24 days:\n\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Venice.\n**Day 7-12:** Visit Venice for 6 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-18:** Visit Stuttgart for 7 days.\n**Day 18:** Fly from Stuttgart to Milan.\n**Day 18-24:** Visit Milan for 7 days.",
    "id": "trip_planning_example_327",
    "estimated_output_tokens": 918,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Venice, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Stuttgart, Duration: 7 days.\n* City: Milan, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 7.\n* City: Venice, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 7 days.\n* City: Milan, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 12).\n |- The departure day of Manchester is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Manchester to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Manchester, Venice].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Milan] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Venice to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Manchester, Venice, Stuttgart].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n       |- Try arranging to visit Milan from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n       |- Check for direct flight from Stuttgart to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 24. Current plan: [Manchester, Venice, Stuttgart, Milan].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to Venice.\n**Day 7-12:** Visit Venice for 6 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-18:** Visit Stuttgart for 7 days.\n**Day 18:** Fly from Stuttgart to Milan.\n**Day 18-24:** Visit Milan for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Venice**Copenhagen**Geneva",
    "ground_truth_durations": "5**3**7**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. During day 5 and day 7, you have to attend a conference in Venice. You plan to stay in Copenhagen for 7 days. You want to meet a friend in Copenhagen between day 7 and day 13. You want to spend 2 days in Geneva. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Geneva, Santorini and Geneva, Santorini and Copenhagen, Venice and Copenhagen, Santorini and Venice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. During day 5 and day 7, you have to attend a conference in Venice. You plan to stay in Copenhagen for 7 days. You want to meet a friend in Copenhagen between day 7 and day 13. You want to spend 2 days in Geneva. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Geneva, from Santorini to Geneva, from Santorini to Copenhagen, from Venice to Copenhagen, from Santorini to Venice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Copenhagen.\n**Day 7-13:** Visit Copenhagen for 7 days.\n**Day 13:** Fly from Copenhagen to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_328",
    "estimated_output_tokens": 1233,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Geneva, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Geneva, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 7).\n |- The departure day of Geneva is Day 2. The arrival day of Venice is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 7).\n |- The departure day of Santorini is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 7 - 13).\n   |- The departure day of Venice is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Copenhagen to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Santorini, Venice, Copenhagen, Geneva].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Copenhagen.\n**Day 7-13:** Visit Copenhagen for 7 days.\n**Day 13:** Fly from Copenhagen to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Nice**Warsaw**Stuttgart",
    "ground_truth_durations": "7**3**7**5",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 7 days. You plan to visit relatives in Istanbul between day 1 and day 7. You would like to visit Warsaw for 7 days. You would like to visit Nice for 3 days. You are going to attend a wedding in Nice between day 7 and day 9. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nNice and Warsaw, Istanbul and Warsaw, Warsaw and Stuttgart, Istanbul and Stuttgart, Istanbul and Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 7 days. You plan to visit relatives in Istanbul between day 1 and day 7. You would like to visit Warsaw for 7 days. You would like to visit Nice for 3 days. You are going to attend a wedding in Nice between day 7 and day 9. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Warsaw, from Istanbul to Warsaw, from Warsaw to Stuttgart, from Istanbul to Stuttgart, from Istanbul to Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Warsaw.\n**Day 9-15:** Visit Warsaw for 7 days.\n**Day 15:** Fly from Warsaw to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_329",
    "estimated_output_tokens": 922,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Warsaw, Duration: 7 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 7 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 9).\n |- The departure day of Istanbul is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Istanbul to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Istanbul, Nice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Nice to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Istanbul, Nice, Warsaw].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Warsaw to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Istanbul, Nice, Warsaw, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Warsaw.\n**Day 9-15:** Visit Warsaw for 7 days.\n**Day 15:** Fly from Warsaw to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Istanbul**Riga**Vilnius",
    "ground_truth_durations": "5**6**7**6",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 7 days. You want to meet a friend in Riga between day 10 and day 16. You want to spend 6 days in Istanbul. You would like to visit Vilnius for 6 days. You have to attend a workshop in Vilnius between day 16 and day 21. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nIstanbul and Riga, Porto and Istanbul, from Riga to Vilnius, Istanbul and Vilnius.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 7 days. You want to meet a friend in Riga between day 10 and day 16. You want to spend 6 days in Istanbul. You would like to visit Vilnius for 6 days. You have to attend a workshop in Vilnius between day 16 and day 21. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Riga, from Porto to Istanbul, from Riga to Vilnius, from Istanbul to Vilnius.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-16:** Visit Riga for 7 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-21:** Visit Vilnius for 6 days.",
    "id": "trip_planning_example_330",
    "estimated_output_tokens": 1278,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Istanbul, Duration: 6 days.\n* City: Vilnius, Duration: 6 days, Fixed Schedule: Day 16 - 21.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 10 - 16.\n* City: Vilnius, Fixed Schedule: Day 16 - 21.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 6 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Porto] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 10 - 16).\n |- The departure day of Istanbul is Day 6. The arrival day of Riga is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n   |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Istanbul to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 10 - 16).\n |- The departure day of Porto is Day 5. The arrival day of Riga is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Porto to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 16).\n   |- The departure day of Istanbul is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Porto, Istanbul].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Istanbul to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 16 - 21).\n     |- The departure day of Riga is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Porto, Istanbul, Riga].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Porto, Istanbul, Riga, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-16:** Visit Riga for 7 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-21:** Visit Vilnius for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Seville**Barcelona**Bucharest",
    "ground_truth_durations": "3**6**5**3",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 6 days. You plan to stay in Barcelona for 5 days. You plan to stay in Bucharest for 3 days. You would like to visit Milan for 3 days. You would like to meet your friends at Milan between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nMilan and Barcelona, Milan and Seville, Seville and Barcelona, Barcelona and Bucharest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 6 days. You plan to stay in Barcelona for 5 days. You plan to stay in Bucharest for 3 days. You would like to visit Milan for 3 days. You would like to meet your friends at Milan between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nfrom Milan to Barcelona, from Milan to Seville, from Seville to Barcelona, from Barcelona to Bucharest.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Seville.\n**Day 3-8:** Visit Seville for 6 days.\n**Day 8:** Fly from Seville to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_331",
    "estimated_output_tokens": 900,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 6 days.\n* City: Barcelona, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Seville, Duration: 6 days.\n* City: Barcelona, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona, Bucharest] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Milan to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Milan, Seville].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Bucharest] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Seville to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Milan, Seville, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Barcelona to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Milan, Seville, Barcelona, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Seville.\n**Day 3-8:** Visit Seville for 6 days.\n**Day 8:** Fly from Seville to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Venice**Brussels**Krakow",
    "ground_truth_durations": "3**7**3**4",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Brussels",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You plan to stay in Brussels for 3 days. You have to attend a workshop in Brussels between day 9 and day 11. You want to spend 7 days in Venice. During day 3 and day 9, you have to attend a conference in Venice. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nHamburg and Venice, Hamburg and Brussels, Venice and Brussels, Brussels and Krakow.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You plan to stay in Brussels for 3 days. You have to attend a workshop in Brussels between day 9 and day 11. You want to spend 7 days in Venice. During day 3 and day 9, you have to attend a conference in Venice. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Venice, from Hamburg to Brussels, from Venice to Brussels, from Brussels to Krakow.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_332",
    "estimated_output_tokens": 1079,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 3 - 9.\n* City: Hamburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 3 - 9.\n* City: Brussels, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Hamburg] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 9).\n |- The departure day of Krakow is Day 4. The arrival day of Venice is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 9).\n |- The departure day of Hamburg is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Hamburg to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 9 - 11).\n   |- The departure day of Venice is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Venice to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Venice, Brussels].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Brussels to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Hamburg, Venice, Brussels, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Warsaw**Brussels**Seville",
    "ground_truth_durations": "6**7**5**3",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Milan",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 7 days. You want to meet a friend in Warsaw between day 6 and day 12. You plan to stay in Milan for 6 days. You want to spend 3 days in Seville. You plan to stay in Brussels for 5 days. During day 12 and day 16, you have to attend a conference in Brussels.\n\nHere are the cities that have direct flights:\nMilan and Warsaw, Brussels and Seville, Milan and Seville, Warsaw and Brussels, Milan and Brussels.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 7 days. You want to meet a friend in Warsaw between day 6 and day 12. You plan to stay in Milan for 6 days. You want to spend 3 days in Seville. You plan to stay in Brussels for 5 days. During day 12 and day 16, you have to attend a conference in Brussels.\n\nHere are the cities that have direct flights:\nfrom Milan to Warsaw, from Brussels to Seville, from Milan to Seville, from Warsaw to Brussels, from Milan to Brussels.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Warsaw.\n**Day 6-12:** Visit Warsaw for 7 days.\n**Day 12:** Fly from Warsaw to Brussels.\n**Day 12-16:** Visit Brussels for 5 days.\n**Day 16:** Fly from Brussels to Seville.\n**Day 16-18:** Visit Seville for 3 days.",
    "id": "trip_planning_example_333",
    "estimated_output_tokens": 966,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Milan, Duration: 6 days.\n* City: Seville, Duration: 3 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 6 - 12.\n* City: Brussels, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Milan, Duration: 6 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Seville] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 12).\n |- The departure day of Milan is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Milan to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 12 - 16).\n   |- The departure day of Warsaw is Day 12. The arrival day of Brussels is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Milan, Warsaw].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Warsaw to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Milan, Warsaw, Brussels].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n       |- Check for direct flight from Brussels to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Milan, Warsaw, Brussels, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Warsaw.\n**Day 6-12:** Visit Warsaw for 7 days.\n**Day 12:** Fly from Warsaw to Brussels.\n**Day 12-16:** Visit Brussels for 5 days.\n**Day 16:** Fly from Brussels to Seville.\n**Day 16-18:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Athens**Oslo**Reykjavik",
    "ground_truth_durations": "6**3**2**6",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Reykjavik. You would like to visit Oslo for 2 days. You plan to stay in Athens for 3 days. You want to spend 6 days in Valencia.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, Athens and Oslo, Oslo and Reykjavik, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Reykjavik. You would like to visit Oslo for 2 days. You plan to stay in Athens for 3 days. You want to spend 6 days in Valencia.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, from Athens to Oslo, from Oslo to Reykjavik, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-6:** Arriving in Valencia and visit Valencia for 6 days.\n**Day 6:** Fly from Valencia to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-14:** Visit Reykjavik for 6 days.",
    "id": "trip_planning_example_334",
    "estimated_output_tokens": 3200,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 6 days.\n* City: Oslo, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n* City: Valencia, Duration: 6 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 6 days.\n* City: Oslo, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n* City: Valencia, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Athens, Valencia] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Athens, Valencia] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Reykjavik to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Reykjavik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Valencia] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Athens, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Oslo to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Athens to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Reykjavik to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Athens, Valencia] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Oslo to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Oslo, Reykjavik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Valencia] and explore these options in order.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Reykjavik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Reykjavik, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Athens to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Oslo to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Valencia] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Athens to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Athens to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Athens, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Athens] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Valencia to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Valencia, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Athens to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Athens, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Valencia, Athens, Oslo, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Valencia and visit Valencia for 6 days.\n**Day 6:** Fly from Valencia to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-14:** Visit Reykjavik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Warsaw**Valencia**Seville",
    "ground_truth_durations": "2**4**4**2",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Helsinki",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You would like to visit Valencia for 4 days. You are going to attend a wedding in Valencia between day 5 and day 8. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 8 and day 9. You would like to visit Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Valencia, Valencia and Seville, Helsinki and Warsaw.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You would like to visit Valencia for 4 days. You are going to attend a wedding in Valencia between day 5 and day 8. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 8 and day 9. You would like to visit Warsaw for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Valencia, from Valencia to Seville, from Helsinki to Warsaw.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Warsaw.\n**Day 2-5:** Visit Warsaw for 4 days.\n**Day 5:** Fly from Warsaw to Valencia.\n**Day 5-8:** Visit Valencia for 4 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-9:** Visit Seville for 2 days.",
    "id": "trip_planning_example_335",
    "estimated_output_tokens": 1004,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Warsaw, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 5 - 8.\n* City: Seville, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Warsaw] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 8).\n |- The departure day of Helsinki is Day 2. The arrival day of Valencia is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 5 - 8).\n   |- The departure day of Warsaw is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Warsaw to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 8 - 9).\n     |- The departure day of Valencia is Day 8. The arrival day of Seville is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Warsaw, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Warsaw, Valencia, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Warsaw.\n**Day 2-5:** Visit Warsaw for 4 days.\n**Day 5:** Fly from Warsaw to Valencia.\n**Day 5-8:** Visit Valencia for 4 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Frankfurt**Madrid**Mykonos",
    "ground_truth_durations": "5**3**2**3",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Madrid"
      ],
      [
        "Bucharest",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 5 and day 7. You would like to visit Madrid for 2 days. You would like to visit Mykonos for 3 days. During day 8 and day 10, you have to attend a conference in Mykonos. You want to spend 5 days in Bucharest.\n\nHere are the cities that have direct flights:\nMadrid and Mykonos, Bucharest and Frankfurt, Frankfurt and Madrid, Bucharest and Madrid.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 5 and day 7. You would like to visit Madrid for 2 days. You would like to visit Mykonos for 3 days. During day 8 and day 10, you have to attend a conference in Mykonos. You want to spend 5 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Madrid to Mykonos, from Bucharest to Frankfurt, from Frankfurt to Madrid, from Bucharest to Madrid.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Frankfurt.\n**Day 5-7:** Visit Frankfurt for 3 days.\n**Day 7:** Fly from Frankfurt to Madrid.\n**Day 7-8:** Visit Madrid for 2 days.\n**Day 8:** Fly from Madrid to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_336",
    "estimated_output_tokens": 1281,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Madrid, Duration: 2 days.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 5 - 7.\n* City: Mykonos, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Bucharest] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 7).\n |- The departure day of Madrid is Day 2. The arrival day of Frankfurt is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 7).\n |- The departure day of Bucharest is Day 5. The arrival day of Frankfurt is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 8 - 10).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Mykonos is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Frankfurt to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 8 - 10).\n     |- The departure day of Madrid is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Frankfurt, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Bucharest, Frankfurt, Madrid, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Frankfurt.\n**Day 5-7:** Visit Frankfurt for 3 days.\n**Day 7:** Fly from Frankfurt to Madrid.\n**Day 7-8:** Visit Madrid for 2 days.\n**Day 8:** Fly from Madrid to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Hamburg**Geneva**Mykonos",
    "ground_truth_durations": "6**3**3**5",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Warsaw",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You would like to visit Warsaw for 6 days. You plan to visit relatives in Warsaw between day 1 and day 6. You want to spend 3 days in Hamburg. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Geneva, Warsaw and Hamburg, Geneva and Mykonos, Warsaw and Geneva.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You would like to visit Warsaw for 6 days. You plan to visit relatives in Warsaw between day 1 and day 6. You want to spend 3 days in Hamburg. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Geneva, from Warsaw to Hamburg, from Geneva to Mykonos, from Warsaw to Geneva.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Hamburg.\n**Day 6-8:** Visit Hamburg for 3 days.\n**Day 8:** Fly from Hamburg to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_337",
    "estimated_output_tokens": 1344,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Warsaw, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Hamburg, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Mykonos] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Warsaw to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Mykonos] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Geneva to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Geneva to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Warsaw, Geneva, Mykonos].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Mykonos to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Warsaw to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Hamburg to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Warsaw, Hamburg, Geneva].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Geneva to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Warsaw, Hamburg, Geneva, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Hamburg.\n**Day 6-8:** Visit Hamburg for 3 days.\n**Day 8:** Fly from Hamburg to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Bucharest**Paris**Porto",
    "ground_truth_durations": "5**5**4**6",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Bucharest",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 6 days. You want to spend 4 days in Paris. You want to meet a friend in Paris between day 9 and day 12. You would like to visit Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 5 and day 9. You would like to visit Amsterdam for 5 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Porto, Amsterdam and Bucharest, Paris and Porto, Amsterdam and Paris, Bucharest and Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 6 days. You want to spend 4 days in Paris. You want to meet a friend in Paris between day 9 and day 12. You would like to visit Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 5 and day 9. You would like to visit Amsterdam for 5 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Porto, from Amsterdam to Bucharest, from Paris to Porto, from Amsterdam to Paris, from Bucharest to Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Paris.\n**Day 9-12:** Visit Paris for 4 days.\n**Day 12:** Fly from Paris to Porto.\n**Day 12-17:** Visit Porto for 6 days.",
    "id": "trip_planning_example_338",
    "estimated_output_tokens": 1084,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 6 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Amsterdam, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 9.\n* City: Paris, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Porto, Duration: 6 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Amsterdam] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 9).\n |- The departure day of Porto is Day 6. The arrival day of Bucharest is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 9).\n |- The departure day of Amsterdam is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Amsterdam to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 9 - 12).\n   |- The departure day of Bucharest is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Amsterdam, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Amsterdam, Bucharest, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Paris to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Amsterdam, Bucharest, Paris, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Paris.\n**Day 9-12:** Visit Paris for 4 days.\n**Day 12:** Fly from Paris to Porto.\n**Day 12-17:** Visit Porto for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Budapest**Paris**Riga",
    "ground_truth_durations": "2**7**4**7",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 11,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Warsaw",
        "Paris"
      ],
      [
        "Paris",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Riga. You are going to attend a wedding in Riga between day 11 and day 17. You want to spend 7 days in Budapest. You want to spend 4 days in Paris. You would like to visit Warsaw for 2 days. From day 1 to day 2, there is a annual show you want to attend in Warsaw.\n\nHere are the cities that have direct flights:\nWarsaw and Budapest, Warsaw and Riga, Budapest and Paris, Warsaw and Paris, Paris and Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Riga. You are going to attend a wedding in Riga between day 11 and day 17. You want to spend 7 days in Budapest. You want to spend 4 days in Paris. You would like to visit Warsaw for 2 days. From day 1 to day 2, there is a annual show you want to attend in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Budapest, from Warsaw to Riga, from Budapest to Paris, from Warsaw to Paris, from Paris to Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Budapest.\n**Day 2-8:** Visit Budapest for 7 days.\n**Day 8:** Fly from Budapest to Paris.\n**Day 8-11:** Visit Paris for 4 days.\n**Day 11:** Fly from Paris to Riga.\n**Day 11-17:** Visit Riga for 7 days.",
    "id": "trip_planning_example_339",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 11 - 17.\n* City: Budapest, Duration: 7 days.\n* City: Paris, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 2.\n* City: Riga, Fixed Schedule: Day 11 - 17.\n\nCities needing arrangement:\n* City: Budapest, Duration: 7 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 11 - 17).\n |- The departure day of Warsaw is Day 2. The arrival day of Riga is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Paris] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Warsaw to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 11 - 17).\n   |- The departure day of Budapest is Day 8. The arrival day of Riga is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n     |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Budapest to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 11 - 17).\n     |- The departure day of Paris is Day 11. The arrival day of Riga is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Budapest, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Paris to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Warsaw, Budapest, Paris, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Budapest.\n**Day 2-8:** Visit Budapest for 7 days.\n**Day 8:** Fly from Budapest to Paris.\n**Day 8-11:** Visit Paris for 4 days.\n**Day 11:** Fly from Paris to Riga.\n**Day 11-17:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Venice**Copenhagen**Tallinn",
    "ground_truth_durations": "5**4**6**3",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Venice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You would like to visit Copenhagen for 6 days. You have to attend a workshop in Copenhagen between day 8 and day 13. You would like to visit Edinburgh for 5 days. You plan to visit relatives in Edinburgh between day 1 and day 5. You want to spend 3 days in Tallinn.\n\nHere are the cities that have direct flights:\nEdinburgh and Venice, Edinburgh and Copenhagen, Copenhagen and Tallinn, Venice and Copenhagen.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You would like to visit Copenhagen for 6 days. You have to attend a workshop in Copenhagen between day 8 and day 13. You would like to visit Edinburgh for 5 days. You plan to visit relatives in Edinburgh between day 1 and day 5. You want to spend 3 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Venice, from Edinburgh to Copenhagen, from Copenhagen to Tallinn, from Venice to Copenhagen.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Copenhagen.\n**Day 8-13:** Visit Copenhagen for 6 days.\n**Day 13:** Fly from Copenhagen to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_340",
    "estimated_output_tokens": 967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Copenhagen, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 8 - 13).\n |- The departure day of Edinburgh is Day 5. The arrival day of Copenhagen is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Tallinn] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 8 - 13).\n   |- The departure day of Venice is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Edinburgh, Venice, Copenhagen, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Copenhagen.\n**Day 8-13:** Visit Copenhagen for 6 days.\n**Day 13:** Fly from Copenhagen to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Edinburgh**Frankfurt**Tallinn",
    "ground_truth_durations": "4**3**3**2",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 3 days. You want to spend 2 days in Tallinn. You want to spend 4 days in Madrid. You are going to attend a wedding in Madrid between day 1 and day 4. You plan to stay in Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 6 and day 8.\n\nHere are the cities that have direct flights:\nFrankfurt and Tallinn, Madrid and Frankfurt, Edinburgh and Frankfurt, Madrid and Edinburgh.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 3 days. You want to spend 2 days in Tallinn. You want to spend 4 days in Madrid. You are going to attend a wedding in Madrid between day 1 and day 4. You plan to stay in Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Tallinn, from Madrid to Frankfurt, from Edinburgh to Frankfurt, from Madrid to Edinburgh.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Edinburgh.\n**Day 4-6:** Visit Edinburgh for 3 days.\n**Day 6:** Fly from Edinburgh to Frankfurt.\n**Day 6-8:** Visit Frankfurt for 3 days.\n**Day 8:** Fly from Frankfurt to Tallinn.\n**Day 8-9:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_341",
    "estimated_output_tokens": 967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 6 - 8).\n |- The departure day of Madrid is Day 4. The arrival day of Frankfurt is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 6 - 8).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Frankfurt is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Edinburgh to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Edinburgh, Frankfurt].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Edinburgh, Frankfurt, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Edinburgh.\n**Day 4-6:** Visit Edinburgh for 3 days.\n**Day 6:** Fly from Edinburgh to Frankfurt.\n**Day 6-8:** Visit Frankfurt for 3 days.\n**Day 8:** Fly from Frankfurt to Tallinn.\n**Day 8-9:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Seville**Barcelona**Lyon",
    "ground_truth_durations": "6**7**3**3",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Seville"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Barcelona. You want to spend 3 days in Lyon. You would like to visit Seville for 7 days. You want to spend 6 days in Milan. You are going to attend a wedding in Milan between day 1 and day 6.\n\nHere are the cities that have direct flights:\nMilan and Seville, Seville and Barcelona, Milan and Barcelona, Barcelona and Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Barcelona. You want to spend 3 days in Lyon. You would like to visit Seville for 7 days. You want to spend 6 days in Milan. You are going to attend a wedding in Milan between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Milan to Seville, from Seville to Barcelona, from Milan to Barcelona, from Barcelona to Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Seville.\n**Day 6-12:** Visit Seville for 7 days.\n**Day 12:** Fly from Seville to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_342",
    "estimated_output_tokens": 1378,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Seville, Duration: 7 days.\n* City: Milan, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Seville, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Lyon, Seville] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Milan to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Milan, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Seville] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Milan, Barcelona, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Lyon to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Barcelona to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Milan to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Milan, Seville].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Lyon] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Seville to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Milan, Seville, Barcelona].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Barcelona to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Milan, Seville, Barcelona, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Seville.\n**Day 6-12:** Visit Seville for 7 days.\n**Day 12:** Fly from Seville to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Geneva**Amsterdam**Vilnius",
    "ground_truth_durations": "2**5**6**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Geneva",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Amsterdam. You plan to stay in Vilnius for 6 days. You are going to attend a wedding in Vilnius between day 11 and day 16. You plan to stay in Geneva for 5 days. You would like to visit Porto for 2 days. You want to meet a friend in Porto between day 1 and day 2.\n\nHere are the cities that have direct flights:\nAmsterdam and Vilnius, Porto and Amsterdam, Porto and Geneva, Geneva and Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Amsterdam. You plan to stay in Vilnius for 6 days. You are going to attend a wedding in Vilnius between day 11 and day 16. You plan to stay in Geneva for 5 days. You would like to visit Porto for 2 days. You want to meet a friend in Porto between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Vilnius, from Porto to Amsterdam, from Porto to Geneva, from Geneva to Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Geneva.\n**Day 2-6:** Visit Geneva for 5 days.\n**Day 6:** Fly from Geneva to Amsterdam.\n**Day 6-11:** Visit Amsterdam for 6 days.\n**Day 11:** Fly from Amsterdam to Vilnius.\n**Day 11-16:** Visit Vilnius for 6 days.",
    "id": "trip_planning_example_343",
    "estimated_output_tokens": 1278,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 6 days.\n* City: Vilnius, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n* City: Geneva, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Vilnius, Fixed Schedule: Day 11 - 16.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Geneva, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 11 - 16).\n |- The departure day of Porto is Day 2. The arrival day of Vilnius is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Geneva] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Porto to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 11 - 16).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 11 - 16).\n   |- The departure day of Geneva is Day 6. The arrival day of Vilnius is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Geneva to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 11 - 16).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Geneva, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Porto, Geneva, Amsterdam, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Geneva.\n**Day 2-6:** Visit Geneva for 5 days.\n**Day 6:** Fly from Geneva to Amsterdam.\n**Day 6-11:** Visit Amsterdam for 6 days.\n**Day 11:** Fly from Amsterdam to Vilnius.\n**Day 11-16:** Visit Vilnius for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Zurich**Valencia**Naples",
    "ground_truth_durations": "6**6**6**5",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Naples"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You want to spend 6 days in Athens. You plan to visit relatives in Athens between day 1 and day 6. You would like to visit Naples for 5 days. You are going to attend a wedding in Naples between day 16 and day 20. You want to spend 6 days in Zurich.\n\nHere are the cities that have direct flights:\nValencia and Naples, from Valencia to Athens, Athens and Naples, Zurich and Naples, Athens and Zurich, Zurich and Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You want to spend 6 days in Athens. You plan to visit relatives in Athens between day 1 and day 6. You would like to visit Naples for 5 days. You are going to attend a wedding in Naples between day 16 and day 20. You want to spend 6 days in Zurich.\n\nHere are the cities that have direct flights:\nfrom Valencia to Naples, from Valencia to Athens, from Athens to Naples, from Zurich to Naples, from Athens to Zurich, from Zurich to Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to Zurich.\n**Day 6-11:** Visit Zurich for 6 days.\n**Day 11:** Fly from Zurich to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Naples.\n**Day 16-20:** Visit Naples for 5 days.",
    "id": "trip_planning_example_344",
    "estimated_output_tokens": 1040,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 6 days.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Zurich, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 6.\n* City: Naples, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Valencia, Duration: 6 days.\n* City: Zurich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 16 - 20).\n |- The departure day of Athens is Day 6. The arrival day of Naples is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Athens to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 16 - 20).\n   |- The departure day of Zurich is Day 11. The arrival day of Naples is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Athens, Zurich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Zurich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 16 - 20).\n     |- The departure day of Valencia is Day 16. The arrival day of Naples is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Athens, Zurich, Valencia].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- Yes. The city with an arrival day of Day 16 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Valencia to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Athens, Zurich, Valencia, Naples].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to Zurich.\n**Day 6-11:** Visit Zurich for 6 days.\n**Day 11:** Fly from Zurich to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Naples.\n**Day 16-20:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Warsaw**Milan**Mykonos",
    "ground_truth_durations": "4**6**2**7",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Milan"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Budapest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You have to attend a workshop in Budapest between day 1 and day 4. You would like to visit Milan for 2 days. You would like to visit Mykonos for 7 days. You want to meet a friend in Mykonos between day 10 and day 16. You want to spend 6 days in Warsaw.\n\nHere are the cities that have direct flights:\nBudapest and Milan, Budapest and Mykonos, Milan and Mykonos, Warsaw and Milan, Budapest and Warsaw.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You have to attend a workshop in Budapest between day 1 and day 4. You would like to visit Milan for 2 days. You would like to visit Mykonos for 7 days. You want to meet a friend in Mykonos between day 10 and day 16. You want to spend 6 days in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Budapest to Milan, from Budapest to Mykonos, from Milan to Mykonos, from Warsaw to Milan, from Budapest to Warsaw.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Warsaw.\n**Day 4-9:** Visit Warsaw for 6 days.\n**Day 9:** Fly from Warsaw to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Mykonos.\n**Day 10-16:** Visit Mykonos for 7 days.",
    "id": "trip_planning_example_345",
    "estimated_output_tokens": 1283,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Milan, Duration: 2 days.\n* City: Mykonos, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Warsaw, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Warsaw, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 10 - 16).\n |- The departure day of Budapest is Day 4. The arrival day of Mykonos is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Budapest to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 10 - 16).\n   |- The departure day of Milan is Day 5. The arrival day of Mykonos is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Budapest, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Milan to Warsaw.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Budapest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 10 - 16).\n   |- The departure day of Warsaw is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Budapest, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 16).\n     |- The departure day of Milan is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Milan to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Budapest, Warsaw, Milan, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Warsaw.\n**Day 4-9:** Visit Warsaw for 6 days.\n**Day 9:** Fly from Warsaw to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Mykonos.\n**Day 10-16:** Visit Mykonos for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Rome**Barcelona**Florence",
    "ground_truth_durations": "2**3**3**6",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Rome",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You want to spend 6 days in Florence. You would like to visit Hamburg for 2 days. You have to attend a workshop in Hamburg between day 1 and day 2. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nHamburg and Rome, Hamburg and Barcelona, Barcelona and Florence, Rome and Barcelona.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You want to spend 6 days in Florence. You would like to visit Hamburg for 2 days. You have to attend a workshop in Hamburg between day 1 and day 2. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Rome, from Hamburg to Barcelona, from Barcelona to Florence, from Rome to Barcelona.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Barcelona.\n**Day 4-6:** Visit Barcelona for 3 days.\n**Day 6:** Fly from Barcelona to Florence.\n**Day 6-11:** Visit Florence for 6 days.",
    "id": "trip_planning_example_346",
    "estimated_output_tokens": 925,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days.\n* City: Florence, Duration: 6 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Barcelona, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Florence, Duration: 6 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Florence, Barcelona] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Rome to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Hamburg, Rome, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Rome, Barcelona, Florence].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Barcelona.\n**Day 4-6:** Visit Barcelona for 3 days.\n**Day 6:** Fly from Barcelona to Florence.\n**Day 6-11:** Visit Florence for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Valencia**Berlin**Venice",
    "ground_truth_durations": "4**3**4**5",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Geneva",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Geneva. During day 1 and day 4, you have to attend a conference in Geneva. You would like to visit Berlin for 4 days. You plan to stay in Venice for 5 days. You would like to meet your friends at Venice between day 9 and day 13 to tour together. You plan to stay in Valencia for 3 days.\n\nHere are the cities that have direct flights:\nValencia and Berlin, Geneva and Valencia, Berlin and Venice, Geneva and Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Geneva. During day 1 and day 4, you have to attend a conference in Geneva. You would like to visit Berlin for 4 days. You plan to stay in Venice for 5 days. You would like to meet your friends at Venice between day 9 and day 13 to tour together. You plan to stay in Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Berlin, from Geneva to Valencia, from Berlin to Venice, from Geneva to Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Venice.\n**Day 9-13:** Visit Venice for 5 days.",
    "id": "trip_planning_example_347",
    "estimated_output_tokens": 1244,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Duration: 4 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Valencia, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Venice, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 9 - 13).\n |- The departure day of Geneva is Day 4. The arrival day of Venice is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 9 - 13).\n   |- The departure day of Berlin is Day 7. The arrival day of Venice is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 9 - 13).\n   |- The departure day of Valencia is Day 6. The arrival day of Venice is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 9 - 13).\n     |- The departure day of Berlin is Day 9. The arrival day of Venice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Valencia, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Geneva, Valencia, Berlin, Venice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Athens**Stockholm**Krakow",
    "ground_truth_durations": "6**6**5**5",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You want to meet a friend in Athens between day 6 and day 11. You would like to visit Krakow for 5 days. You plan to stay in Stockholm for 5 days. You plan to stay in Amsterdam for 6 days. You have to attend a workshop in Amsterdam between day 1 and day 6.\n\nHere are the cities that have direct flights:\nAmsterdam and Krakow, Amsterdam and Stockholm, Amsterdam and Athens, Athens and Stockholm, Stockholm and Krakow.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You want to meet a friend in Athens between day 6 and day 11. You would like to visit Krakow for 5 days. You plan to stay in Stockholm for 5 days. You plan to stay in Amsterdam for 6 days. You have to attend a workshop in Amsterdam between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Krakow, from Amsterdam to Stockholm, from Amsterdam to Athens, from Athens to Stockholm, from Stockholm to Krakow.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-6:** Arriving in Amsterdam and visit Amsterdam for 6 days.\n**Day 6:** Fly from Amsterdam to Athens.\n**Day 6-11:** Visit Athens for 6 days.\n**Day 11:** Fly from Athens to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Krakow.\n**Day 15-19:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_348",
    "estimated_output_tokens": 979,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Krakow, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Amsterdam, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 6.\n* City: Athens, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 6 - 11).\n |- The departure day of Amsterdam is Day 6. The arrival day of Athens is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Amsterdam to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Amsterdam, Athens].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Stockholm] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Athens to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Athens to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Amsterdam, Athens, Stockholm].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Amsterdam, Athens, Stockholm, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Amsterdam and visit Amsterdam for 6 days.\n**Day 6:** Fly from Amsterdam to Athens.\n**Day 6-11:** Visit Athens for 6 days.\n**Day 11:** Fly from Athens to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Krakow.\n**Day 15-19:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**London**Barcelona**Porto",
    "ground_truth_durations": "3**4**2**7",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Vienna",
        "London"
      ],
      [
        "London",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit London for 4 days. You would like to meet your friends at London between day 3 and day 6 to tour together. You plan to stay in Barcelona for 2 days. You plan to stay in Vienna for 3 days. During day 1 and day 3, you have to attend a conference in Vienna. You want to spend 7 days in Porto.\n\nHere are the cities that have direct flights:\nBarcelona and Porto, Vienna and Barcelona, Vienna and Porto, Vienna and London, London and Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit London for 4 days. You would like to meet your friends at London between day 3 and day 6 to tour together. You plan to stay in Barcelona for 2 days. You plan to stay in Vienna for 3 days. During day 1 and day 3, you have to attend a conference in Vienna. You want to spend 7 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Porto, from Vienna to Barcelona, from Vienna to Porto, from Vienna to London, from London to Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to London.\n**Day 3-6:** Visit London for 4 days.\n**Day 6:** Fly from London to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Porto.\n**Day 7-13:** Visit Porto for 7 days.",
    "id": "trip_planning_example_349",
    "estimated_output_tokens": 922,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Barcelona, Duration: 2 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Porto, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 3 - 6.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 2 days.\n* City: Porto, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 6).\n |- The departure day of Vienna is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from London to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, London, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n       |- Check for direct flight from Barcelona to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vienna, London, Barcelona, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to London.\n**Day 3-6:** Visit London for 4 days.\n**Day 6:** Fly from London to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Venice**Naples**Stuttgart",
    "ground_truth_durations": "4**5**3**2",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Naples"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 2 days. From day 10 to day 11, there is a annual show you want to attend in Stuttgart. You plan to stay in Venice for 5 days. You want to meet a friend in Venice between day 4 and day 8. You plan to stay in Brussels for 4 days. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nVenice and Naples, Brussels and Venice, Brussels and Naples, Venice and Stuttgart, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 2 days. From day 10 to day 11, there is a annual show you want to attend in Stuttgart. You plan to stay in Venice for 5 days. You want to meet a friend in Venice between day 4 and day 8. You plan to stay in Brussels for 4 days. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Naples, from Brussels to Venice, from Brussels to Naples, from Venice to Stuttgart, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Naples.\n**Day 8-10:** Visit Naples for 3 days.\n**Day 10:** Fly from Naples to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_350",
    "estimated_output_tokens": 995,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Brussels, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 8.\n* City: Stuttgart, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Naples] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 8).\n |- The departure day of Brussels is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Brussels to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 11).\n   |- The departure day of Venice is Day 8. The arrival day of Stuttgart is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n     |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 10 - 11).\n     |- The departure day of Naples is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Naples to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Venice, Naples, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Naples.\n**Day 8-10:** Visit Naples for 3 days.\n**Day 10:** Fly from Naples to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Barcelona**Athens**Riga",
    "ground_truth_durations": "6**6**3**4",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Barcelona",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 6 days. You plan to visit relatives in Barcelona between day 6 and day 11. You plan to stay in Athens for 3 days. You plan to stay in Riga for 4 days. You plan to stay in Krakow for 6 days. You would like to meet your friends at Krakow between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Barcelona, Barcelona and Athens, from Athens to Riga, Barcelona and Riga.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 6 days. You plan to visit relatives in Barcelona between day 6 and day 11. You plan to stay in Athens for 3 days. You plan to stay in Riga for 4 days. You plan to stay in Krakow for 6 days. You would like to meet your friends at Krakow between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Barcelona, from Barcelona to Athens, from Athens to Riga, from Barcelona to Riga.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-6:** Arriving in Krakow and visit Krakow for 6 days.\n**Day 6:** Fly from Krakow to Barcelona.\n**Day 6-11:** Visit Barcelona for 6 days.\n**Day 11:** Fly from Barcelona to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-16:** Visit Riga for 4 days.",
    "id": "trip_planning_example_351",
    "estimated_output_tokens": 944,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Athens, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n* City: Krakow, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 6.\n* City: Barcelona, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 6 - 11).\n |- The departure day of Krakow is Day 6. The arrival day of Barcelona is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Krakow to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Krakow, Barcelona].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Barcelona to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Krakow, Barcelona, Athens].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Athens to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Krakow, Barcelona, Athens, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Krakow and visit Krakow for 6 days.\n**Day 6:** Fly from Krakow to Barcelona.\n**Day 6-11:** Visit Barcelona for 6 days.\n**Day 11:** Fly from Barcelona to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Riga**Barcelona**Stockholm",
    "ground_truth_durations": "2**5**3**6",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You plan to visit relatives in Barcelona between day 6 and day 8. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 1 and day 2. You would like to visit Riga for 5 days. You would like to visit Stockholm for 6 days.\n\nHere are the cities that have direct flights:\nBucharest and Riga, Riga and Stockholm, Riga and Barcelona, Barcelona and Stockholm, Bucharest and Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You plan to visit relatives in Barcelona between day 6 and day 8. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 1 and day 2. You would like to visit Riga for 5 days. You would like to visit Stockholm for 6 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Riga, from Riga to Stockholm, from Riga to Barcelona, from Barcelona to Stockholm, from Bucharest to Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Barcelona.\n**Day 6-8:** Visit Barcelona for 3 days.\n**Day 8:** Fly from Barcelona to Stockholm.\n**Day 8-13:** Visit Stockholm for 6 days.",
    "id": "trip_planning_example_352",
    "estimated_output_tokens": 984,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Riga, Duration: 5 days.\n* City: Stockholm, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Barcelona, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Stockholm, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 6 - 8).\n |- The departure day of Bucharest is Day 2. The arrival day of Barcelona is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Stockholm] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 6 - 8).\n   |- The departure day of Riga is Day 6. The arrival day of Barcelona is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Riga to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Riga, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Barcelona to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Riga, Barcelona, Stockholm].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Barcelona.\n**Day 6-8:** Visit Barcelona for 3 days.\n**Day 8:** Fly from Barcelona to Stockholm.\n**Day 8-13:** Visit Stockholm for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Budapest**Vienna**Vilnius",
    "ground_truth_durations": "2**6**3**3",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 2,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Budapest. You plan to visit relatives in Budapest between day 2 and day 7. You would like to visit Vilnius for 3 days. You want to spend 3 days in Vienna. You have to attend a workshop in Vienna between day 7 and day 9. You plan to stay in Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nBudapest and Vienna, Frankfurt and Vilnius, Frankfurt and Vienna, Vienna and Vilnius, Frankfurt and Budapest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Budapest. You plan to visit relatives in Budapest between day 2 and day 7. You would like to visit Vilnius for 3 days. You want to spend 3 days in Vienna. You have to attend a workshop in Vienna between day 7 and day 9. You plan to stay in Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Vienna, from Frankfurt to Vilnius, from Frankfurt to Vienna, from Vienna to Vilnius, from Frankfurt to Budapest.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Budapest.\n**Day 2-7:** Visit Budapest for 6 days.\n**Day 7:** Fly from Budapest to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_353",
    "estimated_output_tokens": 1091,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 6 days, Fixed Schedule: Day 2 - 7.\n* City: Vilnius, Duration: 3 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Frankfurt, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 2 - 7.\n* City: Vienna, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 2 - 7).\n |- The departure day of Vilnius is Day 3. The arrival day of Budapest is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 2 - 7).\n |- The departure day of Frankfurt is Day 2. The arrival day of Budapest is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Frankfurt to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vienna (Day 7 - 9).\n   |- The departure day of Budapest is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Budapest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Budapest, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Vienna to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Budapest, Vienna, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Budapest.\n**Day 2-7:** Visit Budapest for 6 days.\n**Day 7:** Fly from Budapest to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Lisbon**Amsterdam**Santorini",
    "ground_truth_durations": "6**5**3**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 5 days. You would like to meet your friends at Lisbon between day 6 and day 10 to tour together. You plan to stay in Amsterdam for 3 days. You have to attend a workshop in Amsterdam between day 10 and day 12. You plan to stay in Santorini for 5 days. You want to spend 6 days in Dublin.\n\nHere are the cities that have direct flights:\nAmsterdam and Santorini, Dublin and Lisbon, Dublin and Santorini, Dublin and Amsterdam, Lisbon and Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 5 days. You would like to meet your friends at Lisbon between day 6 and day 10 to tour together. You plan to stay in Amsterdam for 3 days. You have to attend a workshop in Amsterdam between day 10 and day 12. You plan to stay in Santorini for 5 days. You want to spend 6 days in Dublin.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Santorini, from Dublin to Lisbon, from Dublin to Santorini, from Dublin to Amsterdam, from Lisbon to Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-6:** Arriving in Dublin and visit Dublin for 6 days.\n**Day 6:** Fly from Dublin to Lisbon.\n**Day 6-10:** Visit Lisbon for 5 days.\n**Day 10:** Fly from Lisbon to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Santorini.\n**Day 12-16:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_354",
    "estimated_output_tokens": 1229,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Santorini, Duration: 5 days.\n* City: Dublin, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Santorini, Duration: 5 days.\n* City: Dublin, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 6 - 10).\n |- The departure day of Santorini is Day 5. The arrival day of Lisbon is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Santorini to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 6 - 10).\n |- The departure day of Dublin is Day 6. The arrival day of Lisbon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Dublin to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 10 - 12).\n   |- The departure day of Lisbon is Day 10. The arrival day of Amsterdam is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Dublin, Lisbon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Lisbon to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dublin, Lisbon, Amsterdam].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Dublin, Lisbon, Amsterdam, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Dublin and visit Dublin for 6 days.\n**Day 6:** Fly from Dublin to Lisbon.\n**Day 6-10:** Visit Lisbon for 5 days.\n**Day 10:** Fly from Lisbon to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Santorini.\n**Day 12-16:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Geneva**Valencia**Stuttgart",
    "ground_truth_durations": "5**4**2**2",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 5 days. You would like to visit Stuttgart for 2 days. You want to spend 2 days in Valencia. From day 8 to day 9, there is a annual show you want to attend in Valencia. You would like to visit Geneva for 4 days. You want to meet a friend in Geneva between day 5 and day 8.\n\nHere are the cities that have direct flights:\nLisbon and Geneva, Geneva and Valencia, Valencia and Stuttgart, Lisbon and Stuttgart, Lisbon and Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 5 days. You would like to visit Stuttgart for 2 days. You want to spend 2 days in Valencia. From day 8 to day 9, there is a annual show you want to attend in Valencia. You would like to visit Geneva for 4 days. You want to meet a friend in Geneva between day 5 and day 8.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Geneva, from Geneva to Valencia, from Valencia to Stuttgart, from Lisbon to Stuttgart, from Lisbon to Valencia.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_355",
    "estimated_output_tokens": 963,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 5 - 8).\n |- The departure day of Lisbon is Day 5. The arrival day of Geneva is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n   |- The departure day of Geneva is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lisbon, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Geneva to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Geneva, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Geneva, Valencia, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**London**Copenhagen**Porto",
    "ground_truth_durations": "7**2**7**3",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "London"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Venice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 14 and day 16. You want to spend 7 days in Copenhagen. You would like to visit London for 2 days. You want to spend 7 days in Venice. You are going to attend a wedding in Venice between day 1 and day 7.\n\nHere are the cities that have direct flights:\nVenice and London, London and Copenhagen, Copenhagen and Porto, Venice and Copenhagen.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 14 and day 16. You want to spend 7 days in Copenhagen. You would like to visit London for 2 days. You want to spend 7 days in Venice. You are going to attend a wedding in Venice between day 1 and day 7.\n\nHere are the cities that have direct flights:\nfrom Venice to London, from London to Copenhagen, from Copenhagen to Porto, from Venice to Copenhagen.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Copenhagen.\n**Day 8-14:** Visit Copenhagen for 7 days.\n**Day 14:** Fly from Copenhagen to Porto.\n**Day 14-16:** Visit Porto for 3 days.",
    "id": "trip_planning_example_356",
    "estimated_output_tokens": 1245,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Copenhagen, Duration: 7 days.\n* City: London, Duration: 2 days.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 7.\n* City: Porto, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 7 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Venice is Day 7. The arrival day of Porto is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, London] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Venice to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 16).\n   |- The departure day of Copenhagen is Day 13. The arrival day of Porto is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Venice, Copenhagen].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n     |- Try arranging to visit London from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n     |- Check for direct flight from Copenhagen to London.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Venice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 16).\n   |- The departure day of London is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from London to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 16).\n     |- The departure day of Copenhagen is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Venice, London, Copenhagen].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Copenhagen to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Venice, London, Copenhagen, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Venice and visit Venice for 7 days.\n**Day 7:** Fly from Venice to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Copenhagen.\n**Day 8-14:** Visit Copenhagen for 7 days.\n**Day 14:** Fly from Copenhagen to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Edinburgh**Krakow**Vilnius",
    "ground_truth_durations": "3**5**3**2",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 5 days. You want to spend 3 days in Hamburg. You want to spend 2 days in Vilnius. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, Hamburg and Edinburgh, Edinburgh and Krakow.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 5 days. You want to spend 3 days in Hamburg. You want to spend 2 days in Vilnius. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, from Hamburg to Edinburgh, from Edinburgh to Krakow.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Edinburgh.\n**Day 3-7:** Visit Edinburgh for 5 days.\n**Day 7:** Fly from Edinburgh to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_357",
    "estimated_output_tokens": 1674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Hamburg, Vilnius, Krakow] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius, Krakow] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Edinburgh to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Krakow to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vilnius to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Krakow] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Hamburg to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Edinburgh].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Edinburgh to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Edinburgh to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Edinburgh, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Edinburgh, Krakow, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Edinburgh.\n**Day 3-7:** Visit Edinburgh for 5 days.\n**Day 7:** Fly from Edinburgh to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Santorini**Dublin**Tallinn",
    "ground_truth_durations": "3**5**7**7",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Dublin"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Santorini",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 7 days. You plan to visit relatives in Dublin between day 7 and day 13. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 1 and day 3 to tour together. You would like to visit Tallinn for 7 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nAthens and Dublin, Athens and Santorini, Dublin and Tallinn, Santorini and Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 7 days. You plan to visit relatives in Dublin between day 7 and day 13. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 1 and day 3 to tour together. You would like to visit Tallinn for 7 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Dublin, from Athens to Santorini, from Dublin to Tallinn, from Santorini to Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Santorini.\n**Day 3-7:** Visit Santorini for 5 days.\n**Day 7:** Fly from Santorini to Dublin.\n**Day 7-13:** Visit Dublin for 7 days.\n**Day 13:** Fly from Dublin to Tallinn.\n**Day 13-19:** Visit Tallinn for 7 days.",
    "id": "trip_planning_example_358",
    "estimated_output_tokens": 1041,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Duration: 7 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 3.\n* City: Dublin, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 7 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 7 - 13).\n |- The departure day of Athens is Day 3. The arrival day of Dublin is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Santorini] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Athens to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dublin (Day 7 - 13).\n   |- The departure day of Santorini is Day 7. The arrival day of Dublin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Athens, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Santorini to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Athens, Santorini, Dublin].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Dublin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Athens, Santorini, Dublin, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Santorini.\n**Day 3-7:** Visit Santorini for 5 days.\n**Day 7:** Fly from Santorini to Dublin.\n**Day 7-13:** Visit Dublin for 7 days.\n**Day 13:** Fly from Dublin to Tallinn.\n**Day 13-19:** Visit Tallinn for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Stuttgart**Hamburg**Warsaw",
    "ground_truth_durations": "7**7**3**6",
    "num_cities": 4,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. During day 13 and day 15, you have to attend a conference in Hamburg. You want to spend 7 days in Edinburgh. From day 1 to day 7, there is a annual show you want to attend in Edinburgh. You would like to visit Stuttgart for 7 days. You would like to visit Warsaw for 6 days.\n\nHere are the cities that have direct flights:\nStuttgart and Hamburg, Hamburg and Warsaw, Edinburgh and Hamburg, Stuttgart and Warsaw, Edinburgh and Stuttgart.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. During day 13 and day 15, you have to attend a conference in Hamburg. You want to spend 7 days in Edinburgh. From day 1 to day 7, there is a annual show you want to attend in Edinburgh. You would like to visit Stuttgart for 7 days. You would like to visit Warsaw for 6 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Hamburg, from Hamburg to Warsaw, from Edinburgh to Hamburg, from Stuttgart to Warsaw, from Edinburgh to Stuttgart.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 20 days:\n\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.\n**Day 13:** Fly from Stuttgart to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Warsaw.\n**Day 15-20:** Visit Warsaw for 6 days.",
    "id": "trip_planning_example_359",
    "estimated_output_tokens": 958,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Edinburgh, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Stuttgart, Duration: 7 days.\n* City: Warsaw, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 7.\n* City: Hamburg, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 7 days.\n* City: Warsaw, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 13 - 15).\n |- The departure day of Edinburgh is Day 7. The arrival day of Hamburg is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Warsaw] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Edinburgh to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 13 - 15).\n   |- The departure day of Stuttgart is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Edinburgh, Stuttgart].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Stuttgart to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Edinburgh, Stuttgart, Hamburg].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Hamburg to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Edinburgh, Stuttgart, Hamburg, Warsaw].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.\n**Day 13:** Fly from Stuttgart to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Warsaw.\n**Day 15-20:** Visit Warsaw for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Valencia**Athens**Santorini",
    "ground_truth_durations": "5**3**5**5",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Athens"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Warsaw",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You are going to attend a wedding in Athens between day 7 and day 11. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 1 and day 5. You would like to visit Valencia for 3 days. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, Warsaw and Valencia, Athens and Santorini, Warsaw and Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You are going to attend a wedding in Athens between day 7 and day 11. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 1 and day 5. You would like to visit Valencia for 3 days. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, from Warsaw to Valencia, from Athens to Santorini, from Warsaw to Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Valencia.\n**Day 5-7:** Visit Valencia for 3 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_360",
    "estimated_output_tokens": 975,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 7 - 11).\n |- The departure day of Warsaw is Day 5. The arrival day of Athens is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Santorini] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Warsaw to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 7 - 11).\n   |- The departure day of Valencia is Day 7. The arrival day of Athens is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Athens to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Valencia, Athens, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Valencia.\n**Day 5-7:** Visit Valencia for 3 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Paris**Bucharest",
    "ground_truth_durations": "7**3**6**2",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Madrid",
        "Paris"
      ],
      [
        "Madrid",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 6 days. You want to spend 7 days in Madrid. From day 1 to day 7, there is a annual show you want to attend in Madrid. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 14 and day 15. You would like to visit Seville for 3 days.\n\nHere are the cities that have direct flights:\nParis and Bucharest, Seville and Paris, Madrid and Bucharest, Madrid and Paris, Madrid and Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 6 days. You want to spend 7 days in Madrid. From day 1 to day 7, there is a annual show you want to attend in Madrid. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 14 and day 15. You would like to visit Seville for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Bucharest, from Seville to Paris, from Madrid to Bucharest, from Madrid to Paris, from Madrid to Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-14:** Visit Paris for 6 days.\n**Day 14:** Fly from Paris to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_361",
    "estimated_output_tokens": 1275,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 6 days.\n* City: Madrid, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Seville, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 7.\n* City: Bucharest, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Paris, Duration: 6 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 14 - 15).\n |- The departure day of Madrid is Day 7. The arrival day of Bucharest is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Seville] and explore these options in order.\n   |- Try arranging to visit Paris from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Madrid to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 14 - 15).\n   |- The departure day of Paris is Day 12. The arrival day of Bucharest is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Madrid, Paris].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Paris to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 14 - 15).\n   |- The departure day of Seville is Day 9. The arrival day of Bucharest is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n     |- Try arranging to visit Paris from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Seville to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 14 - 15).\n     |- The departure day of Paris is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Madrid, Seville, Paris].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Paris to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Madrid, Seville, Paris, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-14:** Visit Paris for 6 days.\n**Day 14:** Fly from Paris to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Venice**Barcelona**Reykjavik",
    "ground_truth_durations": "3**4**6**3",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Venice"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Venice",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 6 days. You plan to stay in Venice for 4 days. You are going to attend a wedding in Venice between day 3 and day 6. You want to spend 3 days in Reykjavik. You plan to stay in Nice for 3 days. You want to meet a friend in Nice between day 1 and day 3.\n\nHere are the cities that have direct flights:\nNice and Venice, Nice and Barcelona, Nice and Reykjavik, Barcelona and Reykjavik, Venice and Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 6 days. You plan to stay in Venice for 4 days. You are going to attend a wedding in Venice between day 3 and day 6. You want to spend 3 days in Reykjavik. You plan to stay in Nice for 3 days. You want to meet a friend in Nice between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Nice to Venice, from Nice to Barcelona, from Nice to Reykjavik, from Barcelona to Reykjavik, from Venice to Barcelona.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Barcelona.\n**Day 6-11:** Visit Barcelona for 6 days.\n**Day 11:** Fly from Barcelona to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_362",
    "estimated_output_tokens": 944,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 6 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Reykjavik, Duration: 3 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 3 - 6.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 6 days.\n* City: Reykjavik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 6).\n |- The departure day of Nice is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Venice to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Venice, Barcelona].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Barcelona to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Venice, Barcelona, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Barcelona.\n**Day 6-11:** Visit Barcelona for 6 days.\n**Day 11:** Fly from Barcelona to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Madrid**Oslo**Riga",
    "ground_truth_durations": "3**3**6**7",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Madrid",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Riga. You would like to meet your friends at Riga between day 10 and day 16 to tour together. You plan to stay in Copenhagen for 3 days. You have to attend a workshop in Copenhagen between day 1 and day 3. You want to spend 6 days in Oslo. You want to spend 3 days in Madrid.\n\nHere are the cities that have direct flights:\nCopenhagen and Madrid, Copenhagen and Oslo, Oslo and Riga, Copenhagen and Riga, Madrid and Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Riga. You would like to meet your friends at Riga between day 10 and day 16 to tour together. You plan to stay in Copenhagen for 3 days. You have to attend a workshop in Copenhagen between day 1 and day 3. You want to spend 6 days in Oslo. You want to spend 3 days in Madrid.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Madrid, from Copenhagen to Oslo, from Oslo to Riga, from Copenhagen to Riga, from Madrid to Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to Oslo.\n**Day 5-10:** Visit Oslo for 6 days.\n**Day 10:** Fly from Oslo to Riga.\n**Day 10-16:** Visit Riga for 7 days.",
    "id": "trip_planning_example_363",
    "estimated_output_tokens": 1262,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Duration: 6 days.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 3.\n* City: Riga, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 10 - 16).\n |- The departure day of Copenhagen is Day 3. The arrival day of Riga is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Madrid] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Copenhagen to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 10 - 16).\n   |- The departure day of Oslo is Day 8. The arrival day of Riga is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Oslo to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 10 - 16).\n   |- The departure day of Madrid is Day 5. The arrival day of Riga is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Madrid to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 16).\n     |- The departure day of Oslo is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Madrid, Oslo].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Oslo to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Copenhagen, Madrid, Oslo, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to Oslo.\n**Day 5-10:** Visit Oslo for 6 days.\n**Day 10:** Fly from Oslo to Riga.\n**Day 10-16:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Paris**Madrid**Santorini",
    "ground_truth_durations": "3**4**3**3",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Dublin",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You plan to stay in Dublin for 3 days. You would like to visit Paris for 4 days. From day 3 to day 6, there is a annual show you want to attend in Paris. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 6 and day 8.\n\nHere are the cities that have direct flights:\nMadrid and Santorini, Dublin and Santorini, Dublin and Paris, Paris and Madrid, Dublin and Madrid.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You plan to stay in Dublin for 3 days. You would like to visit Paris for 4 days. From day 3 to day 6, there is a annual show you want to attend in Paris. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Madrid to Santorini, from Dublin to Santorini, from Dublin to Paris, from Paris to Madrid, from Dublin to Madrid.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Madrid.\n**Day 6-8:** Visit Madrid for 3 days.\n**Day 8:** Fly from Madrid to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_364",
    "estimated_output_tokens": 1226,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 3 - 6.\n* City: Madrid, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 6).\n |- The departure day of Santorini is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 6 - 8).\n   |- The departure day of Paris is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Paris, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Madrid to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dublin, Paris, Madrid, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Madrid.\n**Day 6-8:** Visit Madrid for 3 days.\n**Day 8:** Fly from Madrid to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Seville**Valencia**Frankfurt",
    "ground_truth_durations": "4**4**5**6",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 11,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Valencia",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 6 days. You have to attend a workshop in Frankfurt between day 11 and day 16. You plan to stay in Seville for 4 days. You want to spend 4 days in Munich. You are going to attend a wedding in Munich between day 1 and day 4. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nMunich and Frankfurt, Munich and Seville, Seville and Valencia, Munich and Valencia, Valencia and Frankfurt.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 6 days. You have to attend a workshop in Frankfurt between day 11 and day 16. You plan to stay in Seville for 4 days. You want to spend 4 days in Munich. You are going to attend a wedding in Munich between day 1 and day 4. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Frankfurt, from Munich to Seville, from Seville to Valencia, from Munich to Valencia, from Valencia to Frankfurt.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Seville.\n**Day 4-7:** Visit Seville for 4 days.\n**Day 7:** Fly from Seville to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Frankfurt.\n**Day 11-16:** Visit Frankfurt for 6 days.",
    "id": "trip_planning_example_365",
    "estimated_output_tokens": 1010,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n* City: Seville, Duration: 4 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Fixed Schedule: Day 11 - 16.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 11 - 16).\n |- The departure day of Munich is Day 4. The arrival day of Frankfurt is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Valencia] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 11 - 16).\n   |- The departure day of Seville is Day 7. The arrival day of Frankfurt is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Seville].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Seville to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 11 - 16).\n     |- The departure day of Valencia is Day 11. The arrival day of Frankfurt is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Munich, Seville, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Frankfurt.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Valencia to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Munich, Seville, Valencia, Frankfurt].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Seville.\n**Day 4-7:** Visit Seville for 4 days.\n**Day 7:** Fly from Seville to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Frankfurt.\n**Day 11-16:** Visit Frankfurt for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Reykjavik**Milan**Porto",
    "ground_truth_durations": "6**5**2**2",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Milan",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 6 days. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 6 and day 10 to tour together. You want to spend 2 days in Milan. You are going to attend a wedding in Milan between day 10 and day 11. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nBudapest and Reykjavik, Reykjavik and Milan, Budapest and Milan, Milan and Porto.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 6 days. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 6 and day 10 to tour together. You want to spend 2 days in Milan. You are going to attend a wedding in Milan between day 10 and day 11. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Reykjavik, from Reykjavik to Milan, from Budapest to Milan, from Milan to Porto.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-6:** Arriving in Budapest and visit Budapest for 6 days.\n**Day 6:** Fly from Budapest to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-12:** Visit Porto for 2 days.",
    "id": "trip_planning_example_366",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 6 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 10.\n* City: Milan, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Budapest, Duration: 6 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Porto] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 10).\n |- The departure day of Budapest is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Budapest to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 10 - 11).\n   |- The departure day of Reykjavik is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Budapest, Reykjavik].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Reykjavik to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Reykjavik, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Milan to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Budapest, Reykjavik, Milan, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Budapest and visit Budapest for 6 days.\n**Day 6:** Fly from Budapest to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-12:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Milan**Manchester**Bucharest",
    "ground_truth_durations": "6**6**3**5",
    "num_cities": 4,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Manchester"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You plan to stay in Barcelona for 6 days. You want to meet a friend in Barcelona between day 1 and day 6. You plan to stay in Milan for 6 days. You would like to meet your friends at Milan between day 6 and day 11 to tour together. You would like to visit Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nMilan and Manchester, Barcelona and Manchester, Barcelona and Bucharest, Manchester and Bucharest, Barcelona and Milan.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You plan to stay in Barcelona for 6 days. You want to meet a friend in Barcelona between day 1 and day 6. You plan to stay in Milan for 6 days. You would like to meet your friends at Milan between day 6 and day 11 to tour together. You would like to visit Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Manchester, from Barcelona to Manchester, from Barcelona to Bucharest, from Manchester to Bucharest, from Barcelona to Milan.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 17 days:\n\n**Day 1-6:** Arriving in Barcelona and visit Barcelona for 6 days.\n**Day 6:** Fly from Barcelona to Milan.\n**Day 6-11:** Visit Milan for 6 days.\n**Day 11:** Fly from Milan to Manchester.\n**Day 11-13:** Visit Manchester for 3 days.\n**Day 13:** Fly from Manchester to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_367",
    "estimated_output_tokens": 930,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days.\n* City: Barcelona, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Milan, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 6.\n* City: Milan, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 11).\n |- The departure day of Barcelona is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Barcelona to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Barcelona, Milan].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Bucharest] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Milan to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Barcelona, Milan, Manchester].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Manchester to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Barcelona, Milan, Manchester, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Barcelona and visit Barcelona for 6 days.\n**Day 6:** Fly from Barcelona to Milan.\n**Day 6-11:** Visit Milan for 6 days.\n**Day 11:** Fly from Milan to Manchester.\n**Day 11-13:** Visit Manchester for 3 days.\n**Day 13:** Fly from Manchester to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Krakow**Milan**Hamburg",
    "ground_truth_durations": "5**2**3**7",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Krakow",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in London for 5 days. You have to attend a workshop in London between day 1 and day 5. You would like to visit Milan for 3 days. You want to spend 2 days in Krakow. You want to spend 7 days in Hamburg. You want to meet a friend in Hamburg between day 8 and day 14.\n\nHere are the cities that have direct flights:\nLondon and Hamburg, London and Milan, London and Krakow, Milan and Hamburg, Krakow and Milan.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in London for 5 days. You have to attend a workshop in London between day 1 and day 5. You would like to visit Milan for 3 days. You want to spend 2 days in Krakow. You want to spend 7 days in Hamburg. You want to meet a friend in Hamburg between day 8 and day 14.\n\nHere are the cities that have direct flights:\nfrom London to Hamburg, from London to Milan, from London to Krakow, from Milan to Hamburg, from Krakow to Milan.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-6:** Visit Krakow for 2 days.\n**Day 6:** Fly from Krakow to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Hamburg.\n**Day 8-14:** Visit Hamburg for 7 days.",
    "id": "trip_planning_example_368",
    "estimated_output_tokens": 1257,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Milan, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 14).\n |- The departure day of London is Day 5. The arrival day of Hamburg is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Krakow] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 8 - 14).\n   |- The departure day of Milan is Day 7. The arrival day of Hamburg is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 8 - 14).\n   |- The departure day of Krakow is Day 6. The arrival day of Hamburg is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 8 - 14).\n     |- The departure day of Milan is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Krakow, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Milan to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [London, Krakow, Milan, Hamburg].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-6:** Visit Krakow for 2 days.\n**Day 6:** Fly from Krakow to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Hamburg.\n**Day 8-14:** Visit Hamburg for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Istanbul**Stockholm**Reykjavik",
    "ground_truth_durations": "2**5**4**4",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Athens",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 6 and day 9. You want to spend 2 days in Athens. During day 1 and day 2, you have to attend a conference in Athens. You want to spend 4 days in Reykjavik. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Stockholm, from Reykjavik to Athens, Stockholm and Reykjavik, Athens and Stockholm, Athens and Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 6 and day 9. You want to spend 2 days in Athens. During day 1 and day 2, you have to attend a conference in Athens. You want to spend 4 days in Reykjavik. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Stockholm, from Reykjavik to Athens, from Stockholm to Reykjavik, from Athens to Stockholm, from Athens to Istanbul.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_369",
    "estimated_output_tokens": 1035,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 4 days.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 6 - 9).\n |- The departure day of Athens is Day 2. The arrival day of Stockholm is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Istanbul] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Athens to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 6 - 9).\n   |- The departure day of Istanbul is Day 6. The arrival day of Stockholm is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Istanbul, Stockholm].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Stockholm to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Istanbul, Stockholm, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Warsaw**Brussels**Bucharest",
    "ground_truth_durations": "4**6**5**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Milan",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You plan to stay in Brussels for 5 days. You have to attend a workshop in Brussels between day 9 and day 13. You want to spend 4 days in Milan. You are going to attend a wedding in Milan between day 1 and day 4. You plan to stay in Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nBrussels and Bucharest, Milan and Warsaw, Warsaw and Bucharest, Warsaw and Brussels, Milan and Brussels.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You plan to stay in Brussels for 5 days. You have to attend a workshop in Brussels between day 9 and day 13. You want to spend 4 days in Milan. You are going to attend a wedding in Milan between day 1 and day 4. You plan to stay in Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Bucharest, from Milan to Warsaw, from Warsaw to Bucharest, from Warsaw to Brussels, from Milan to Brussels.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Warsaw.\n**Day 4-9:** Visit Warsaw for 6 days.\n**Day 9:** Fly from Warsaw to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Bucharest.\n**Day 13-14:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_370",
    "estimated_output_tokens": 967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 6 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 6 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 9 - 13).\n |- The departure day of Milan is Day 4. The arrival day of Brussels is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Milan to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 9 - 13).\n   |- The departure day of Warsaw is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Milan, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Warsaw to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Milan, Warsaw, Brussels].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Brussels to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Milan, Warsaw, Brussels, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Warsaw.\n**Day 4-9:** Visit Warsaw for 6 days.\n**Day 9:** Fly from Warsaw to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Bucharest.\n**Day 13-14:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Nice**Stockholm**Split",
    "ground_truth_durations": "2**2**5**3",
    "num_cities": 4,
    "total_days": 9,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Nice",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You want to spend 5 days in Stockholm. You plan to stay in Split for 3 days. During day 7 and day 9, you have to attend a conference in Split. You want to spend 2 days in Vienna. You have to attend a workshop in Vienna between day 1 and day 2.\n\nHere are the cities that have direct flights:\nVienna and Stockholm, Vienna and Nice, Vienna and Split, Stockholm and Split, Nice and Stockholm.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 9 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You want to spend 5 days in Stockholm. You plan to stay in Split for 3 days. During day 7 and day 9, you have to attend a conference in Split. You want to spend 2 days in Vienna. You have to attend a workshop in Vienna between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Vienna to Stockholm, from Vienna to Nice, from Vienna to Split, from Stockholm to Split, from Nice to Stockholm.\n\nFind a trip plan of visiting the cities for 9 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 9 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to Stockholm.\n**Day 3-7:** Visit Stockholm for 5 days.\n**Day 7:** Fly from Stockholm to Split.\n**Day 7-9:** Visit Split for 3 days.",
    "id": "trip_planning_example_371",
    "estimated_output_tokens": 993,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n* City: Split, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 7 - 9).\n |- The departure day of Vienna is Day 2. The arrival day of Split is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Stockholm] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vienna to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 7 - 9).\n   |- The departure day of Nice is Day 3. The arrival day of Split is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vienna, Nice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Nice to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 7 - 9).\n     |- The departure day of Stockholm is Day 7. The arrival day of Split is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Nice, Stockholm].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Split.\n       |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Nice, Stockholm, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to Stockholm.\n**Day 3-7:** Visit Stockholm for 5 days.\n**Day 7:** Fly from Stockholm to Split.\n**Day 7-9:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Porto**Stuttgart",
    "ground_truth_durations": "4**2**3**7",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Madrid",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You plan to stay in Stuttgart for 7 days. During day 7 and day 13, you have to attend a conference in Stuttgart. You would like to visit Porto for 3 days. You would like to visit Madrid for 4 days. You plan to visit relatives in Madrid between day 1 and day 4.\n\nHere are the cities that have direct flights:\nPorto and Stuttgart, Seville and Porto, Madrid and Porto, Madrid and Seville.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You plan to stay in Stuttgart for 7 days. During day 7 and day 13, you have to attend a conference in Stuttgart. You would like to visit Porto for 3 days. You would like to visit Madrid for 4 days. You plan to visit relatives in Madrid between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Porto to Stuttgart, from Seville to Porto, from Madrid to Porto, from Madrid to Seville.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_372",
    "estimated_output_tokens": 1006,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Porto, Duration: 3 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 13).\n |- The departure day of Madrid is Day 4. The arrival day of Stuttgart is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Porto] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 13).\n   |- The departure day of Seville is Day 5. The arrival day of Stuttgart is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Seville to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 7 - 13).\n     |- The departure day of Porto is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Seville, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n       |- Check for direct flight from Porto to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Seville, Porto, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Seville**Edinburgh**Geneva",
    "ground_truth_durations": "6**7**7**7",
    "num_cities": 4,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 12,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Edinburgh",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Edinburgh. You would like to meet your friends at Edinburgh between day 12 and day 18 to tour together. You would like to visit Barcelona for 6 days. You would like to visit Seville for 7 days. You are going to attend a wedding in Seville between day 6 and day 12. You want to spend 7 days in Geneva.\n\nHere are the cities that have direct flights:\nBarcelona and Geneva, Barcelona and Edinburgh, Seville and Edinburgh, Barcelona and Seville, Edinburgh and Geneva.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Edinburgh. You would like to meet your friends at Edinburgh between day 12 and day 18 to tour together. You would like to visit Barcelona for 6 days. You would like to visit Seville for 7 days. You are going to attend a wedding in Seville between day 6 and day 12. You want to spend 7 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Geneva, from Barcelona to Edinburgh, from Seville to Edinburgh, from Barcelona to Seville, from Edinburgh to Geneva.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 24 days:\n\n**Day 1-6:** Arriving in Barcelona and visit Barcelona for 6 days.\n**Day 6:** Fly from Barcelona to Seville.\n**Day 6-12:** Visit Seville for 7 days.\n**Day 12:** Fly from Seville to Edinburgh.\n**Day 12-18:** Visit Edinburgh for 7 days.\n**Day 18:** Fly from Edinburgh to Geneva.\n**Day 18-24:** Visit Geneva for 7 days.",
    "id": "trip_planning_example_373",
    "estimated_output_tokens": 973,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 7 days, Fixed Schedule: Day 12 - 18.\n* City: Barcelona, Duration: 6 days.\n* City: Seville, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Geneva, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 6 - 12.\n* City: Edinburgh, Fixed Schedule: Day 12 - 18.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 6 days.\n* City: Geneva, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Geneva] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 6 - 12).\n |- The departure day of Barcelona is Day 6. The arrival day of Seville is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Barcelona to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 12 - 18).\n   |- The departure day of Seville is Day 12. The arrival day of Edinburgh is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Barcelona, Seville].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Seville to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Barcelona, Seville, Edinburgh].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n       |- Check for direct flight from Edinburgh to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 24. Current plan: [Barcelona, Seville, Edinburgh, Geneva].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Barcelona and visit Barcelona for 6 days.\n**Day 6:** Fly from Barcelona to Seville.\n**Day 6-12:** Visit Seville for 7 days.\n**Day 12:** Fly from Seville to Edinburgh.\n**Day 12-18:** Visit Edinburgh for 7 days.\n**Day 18:** Fly from Edinburgh to Geneva.\n**Day 18-24:** Visit Geneva for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Munich**Helsinki",
    "ground_truth_durations": "3**2**7**3",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Munich"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Madrid",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 7 days. You have to attend a workshop in Munich between day 4 and day 10. You would like to visit Seville for 2 days. You plan to visit relatives in Seville between day 3 and day 4. You plan to stay in Helsinki for 3 days. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nSeville and Munich, Madrid and Helsinki, Munich and Helsinki, Madrid and Munich, Madrid and Seville.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 7 days. You have to attend a workshop in Munich between day 4 and day 10. You would like to visit Seville for 2 days. You plan to visit relatives in Seville between day 3 and day 4. You plan to stay in Helsinki for 3 days. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Munich, from Madrid to Helsinki, from Munich to Helsinki, from Madrid to Munich, from Madrid to Seville.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Seville.\n**Day 3-4:** Visit Seville for 2 days.\n**Day 4:** Fly from Seville to Munich.\n**Day 4-10:** Visit Munich for 7 days.\n**Day 10:** Fly from Munich to Helsinki.\n**Day 10-12:** Visit Helsinki for 3 days.",
    "id": "trip_planning_example_374",
    "estimated_output_tokens": 1221,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Helsinki, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 3 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Madrid] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 3 - 4).\n |- The departure day of Helsinki is Day 3. The arrival day of Seville is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 3 - 4).\n |- The departure day of Madrid is Day 3. The arrival day of Seville is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 10).\n   |- The departure day of Seville is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Seville to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Seville, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Seville, Munich, Helsinki].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Seville.\n**Day 3-4:** Visit Seville for 2 days.\n**Day 4:** Fly from Seville to Munich.\n**Day 4-10:** Visit Munich for 7 days.\n**Day 10:** Fly from Munich to Helsinki.\n**Day 10-12:** Visit Helsinki for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Venice**Lyon",
    "ground_truth_durations": "7**2**7**6",
    "num_cities": 4,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Venice",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. From day 8 to day 14, there is a annual show you want to attend in Venice. You would like to visit Istanbul for 2 days. You plan to stay in Lyon for 6 days. You would like to visit Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nIstanbul and Lyon, Istanbul and Venice, from Dubrovnik to Istanbul, Venice and Lyon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. From day 8 to day 14, there is a annual show you want to attend in Venice. You would like to visit Istanbul for 2 days. You plan to stay in Lyon for 6 days. You would like to visit Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Lyon, from Istanbul to Venice, from Dubrovnik to Istanbul, from Venice to Lyon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 19 days:\n\n**Day 1-7:** Arriving in Dubrovnik and visit Dubrovnik for 7 days.\n**Day 7:** Fly from Dubrovnik to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Venice.\n**Day 8-14:** Visit Venice for 7 days.\n**Day 14:** Fly from Venice to Lyon.\n**Day 14-19:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_375",
    "estimated_output_tokens": 1786,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Istanbul, Duration: 2 days.\n* City: Lyon, Duration: 6 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: Lyon, Duration: 6 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Lyon, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Istanbul is Day 2. The arrival day of Venice is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Istanbul to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 8 - 14).\n   |- The departure day of Lyon is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Lyon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Lyon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Lyon is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Lyon to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Dubrovnik is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Lyon] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 14).\n   |- The departure day of Istanbul is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Istanbul to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Dubrovnik, Istanbul, Venice].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Dubrovnik, Istanbul, Venice, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Dubrovnik and visit Dubrovnik for 7 days.\n**Day 7:** Fly from Dubrovnik to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Venice.\n**Day 8-14:** Visit Venice for 7 days.\n**Day 14:** Fly from Venice to Lyon.\n**Day 14-19:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Zurich**Dublin**Lyon",
    "ground_truth_durations": "2**5**2**7",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Zurich",
        "Dublin"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Nice",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You have to attend a workshop in Zurich between day 2 and day 6. You plan to stay in Lyon for 7 days. You plan to stay in Dublin for 2 days. You want to spend 2 days in Nice. You want to meet a friend in Nice between day 1 and day 2.\n\nHere are the cities that have direct flights:\nDublin and Lyon, Nice and Lyon, Zurich and Dublin, Nice and Dublin, Nice and Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You have to attend a workshop in Zurich between day 2 and day 6. You plan to stay in Lyon for 7 days. You plan to stay in Dublin for 2 days. You want to spend 2 days in Nice. You want to meet a friend in Nice between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Dublin to Lyon, from Nice to Lyon, from Zurich to Dublin, from Nice to Dublin, from Nice to Zurich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.",
    "id": "trip_planning_example_376",
    "estimated_output_tokens": 964,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Lyon, Duration: 7 days.\n* City: Dublin, Duration: 2 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n* City: Zurich, Fixed Schedule: Day 2 - 6.\n\nCities needing arrangement:\n* City: Lyon, Duration: 7 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 6).\n |- The departure day of Nice is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Dublin] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Nice, Zurich, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n       |- Check for direct flight from Dublin to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Zurich, Dublin, Lyon].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Helsinki**Krakow**Valencia",
    "ground_truth_durations": "6**4**4**5",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Krakow",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Valencia for 5 days. From day 12 to day 16, there is a annual show you want to attend in Valencia. You would like to visit Helsinki for 4 days. You want to spend 6 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 6.\n\nHere are the cities that have direct flights:\nFrankfurt and Valencia, Frankfurt and Krakow, Helsinki and Krakow, Frankfurt and Helsinki, Krakow and Valencia.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Valencia for 5 days. From day 12 to day 16, there is a annual show you want to attend in Valencia. You would like to visit Helsinki for 4 days. You want to spend 6 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Valencia, from Frankfurt to Krakow, from Helsinki to Krakow, from Frankfurt to Helsinki, from Krakow to Valencia.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-6:** Arriving in Frankfurt and visit Frankfurt for 6 days.\n**Day 6:** Fly from Frankfurt to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Krakow.\n**Day 9-12:** Visit Krakow for 4 days.\n**Day 12:** Fly from Krakow to Valencia.\n**Day 12-16:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_377",
    "estimated_output_tokens": 1264,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Helsinki, Duration: 4 days.\n* City: Frankfurt, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 12 - 16).\n |- The departure day of Frankfurt is Day 6. The arrival day of Valencia is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Helsinki] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Frankfurt to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 12 - 16).\n   |- The departure day of Krakow is Day 9. The arrival day of Valencia is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Krakow to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Frankfurt to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 12 - 16).\n   |- The departure day of Helsinki is Day 9. The arrival day of Valencia is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Helsinki].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 12 - 16).\n     |- The departure day of Krakow is Day 12. The arrival day of Valencia is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Frankfurt, Helsinki, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Frankfurt, Helsinki, Krakow, Valencia].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Frankfurt and visit Frankfurt for 6 days.\n**Day 6:** Fly from Frankfurt to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Krakow.\n**Day 9-12:** Visit Krakow for 4 days.\n**Day 12:** Fly from Krakow to Valencia.\n**Day 12-16:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Milan**London**Reykjavik",
    "ground_truth_durations": "5**2**7**4",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "London"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Milan",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 5 days in Valencia. You want to meet a friend in Valencia between day 1 and day 5. You plan to stay in London for 7 days. You have to attend a workshop in London between day 6 and day 12. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nMilan and London, Valencia and Milan, London and Reykjavik, Valencia and London, Milan and Reykjavik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 5 days in Valencia. You want to meet a friend in Valencia between day 1 and day 5. You plan to stay in London for 7 days. You have to attend a workshop in London between day 6 and day 12. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Milan to London, from Valencia to Milan, from London to Reykjavik, from Valencia to London, from Milan to Reykjavik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_378",
    "estimated_output_tokens": 1035,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: London, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 6 - 12.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 6 - 12).\n |- The departure day of Valencia is Day 5. The arrival day of London is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 6 - 12).\n   |- The departure day of Milan is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n     |- Try arranging to visit London from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Milan to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Valencia, Milan, London].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Valencia, Milan, London, Reykjavik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Helsinki**Zurich**Porto",
    "ground_truth_durations": "7**6**4**7",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Split",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 12 and day 15. You plan to stay in Split for 7 days. You plan to visit relatives in Split between day 1 and day 7. You plan to stay in Helsinki for 6 days.\n\nHere are the cities that have direct flights:\nSplit and Helsinki, Helsinki and Zurich, Zurich and Porto, Split and Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 12 and day 15. You plan to stay in Split for 7 days. You plan to visit relatives in Split between day 1 and day 7. You plan to stay in Helsinki for 6 days.\n\nHere are the cities that have direct flights:\nfrom Split to Helsinki, from Helsinki to Zurich, from Zurich to Porto, from Split to Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-7:** Arriving in Split and visit Split for 7 days.\n**Day 7:** Fly from Split to Helsinki.\n**Day 7-12:** Visit Helsinki for 6 days.\n**Day 12:** Fly from Helsinki to Zurich.\n**Day 12-15:** Visit Zurich for 4 days.\n**Day 15:** Fly from Zurich to Porto.\n**Day 15-21:** Visit Porto for 7 days.",
    "id": "trip_planning_example_379",
    "estimated_output_tokens": 1000,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 7 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Helsinki, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 7.\n* City: Zurich, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Porto, Duration: 7 days.\n* City: Helsinki, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 12 - 15).\n |- The departure day of Split is Day 7. The arrival day of Zurich is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki] and explore these options in order.\n   |- Try arranging to visit Porto from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Split to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 12 - 15).\n   |- The departure day of Helsinki is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Helsinki to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Split, Helsinki, Zurich].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Zurich to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Split, Helsinki, Zurich, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Split and visit Split for 7 days.\n**Day 7:** Fly from Split to Helsinki.\n**Day 7-12:** Visit Helsinki for 6 days.\n**Day 12:** Fly from Helsinki to Zurich.\n**Day 12-15:** Visit Zurich for 4 days.\n**Day 15:** Fly from Zurich to Porto.\n**Day 15-21:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Istanbul**Manchester**Dubrovnik",
    "ground_truth_durations": "6**7**6**6",
    "num_cities": 4,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 17,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 12,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You want to meet a friend in Dubrovnik between day 17 and day 22. You plan to stay in Istanbul for 7 days. You would like to visit Edinburgh for 6 days. You would like to visit Manchester for 6 days. You would like to meet your friends at Manchester between day 12 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nManchester and Dubrovnik, Istanbul and Manchester, from Dubrovnik to Istanbul, Edinburgh and Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You want to meet a friend in Dubrovnik between day 17 and day 22. You plan to stay in Istanbul for 7 days. You would like to visit Edinburgh for 6 days. You would like to visit Manchester for 6 days. You would like to meet your friends at Manchester between day 12 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nfrom Manchester to Dubrovnik, from Istanbul to Manchester, from Dubrovnik to Istanbul, from Edinburgh to Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 22 days:\n\n**Day 1-6:** Arriving in Edinburgh and visit Edinburgh for 6 days.\n**Day 6:** Fly from Edinburgh to Istanbul.\n**Day 6-12:** Visit Istanbul for 7 days.\n**Day 12:** Fly from Istanbul to Manchester.\n**Day 12-17:** Visit Manchester for 6 days.\n**Day 17:** Fly from Manchester to Dubrovnik.\n**Day 17-22:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_380",
    "estimated_output_tokens": 1260,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 6 days, Fixed Schedule: Day 17 - 22.\n* City: Istanbul, Duration: 7 days.\n* City: Edinburgh, Duration: 6 days.\n* City: Manchester, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 12 - 17.\n* City: Dubrovnik, Fixed Schedule: Day 17 - 22.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 7 days.\n* City: Edinburgh, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Edinburgh] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 12 - 17).\n |- The departure day of Istanbul is Day 7. The arrival day of Manchester is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Istanbul to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 12 - 17).\n |- The departure day of Edinburgh is Day 6. The arrival day of Manchester is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Edinburgh to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 12 - 17).\n   |- The departure day of Istanbul is Day 12. The arrival day of Manchester is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Edinburgh, Istanbul].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Istanbul to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 17 - 22).\n     |- The departure day of Manchester is Day 17. The arrival day of Dubrovnik is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Edinburgh, Istanbul, Manchester].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- Yes. The city with an arrival day of Day 17 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n       |- Check for direct flight from Manchester to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Edinburgh, Istanbul, Manchester, Dubrovnik].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Edinburgh and visit Edinburgh for 6 days.\n**Day 6:** Fly from Edinburgh to Istanbul.\n**Day 6-12:** Visit Istanbul for 7 days.\n**Day 12:** Fly from Istanbul to Manchester.\n**Day 12-17:** Visit Manchester for 6 days.\n**Day 17:** Fly from Manchester to Dubrovnik.\n**Day 17-22:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Reykjavik**Helsinki**Vilnius",
    "ground_truth_durations": "6**7**3**2",
    "num_cities": 4,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Milan",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 6 days. You would like to visit Helsinki for 3 days. During day 12 and day 14, you have to attend a conference in Helsinki. You would like to visit Reykjavik for 7 days. You want to meet a friend in Reykjavik between day 6 and day 12. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nMilan and Vilnius, Helsinki and Vilnius, Milan and Reykjavik, Reykjavik and Helsinki, Milan and Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 6 days. You would like to visit Helsinki for 3 days. During day 12 and day 14, you have to attend a conference in Helsinki. You would like to visit Reykjavik for 7 days. You want to meet a friend in Reykjavik between day 6 and day 12. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Vilnius, from Helsinki to Vilnius, from Milan to Reykjavik, from Reykjavik to Helsinki, from Milan to Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 15 days:\n\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Reykjavik.\n**Day 6-12:** Visit Reykjavik for 7 days.\n**Day 12:** Fly from Reykjavik to Helsinki.\n**Day 12-14:** Visit Helsinki for 3 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_381",
    "estimated_output_tokens": 1021,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 6 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Reykjavik, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 12.\n* City: Helsinki, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Milan, Duration: 6 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Vilnius] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 12).\n |- The departure day of Milan is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 12 - 14).\n   |- The departure day of Reykjavik is Day 12. The arrival day of Helsinki is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Milan, Reykjavik].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Reykjavik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Milan, Reykjavik, Helsinki].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Milan, Reykjavik, Helsinki, Vilnius].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Reykjavik.\n**Day 6-12:** Visit Reykjavik for 7 days.\n**Day 12:** Fly from Reykjavik to Helsinki.\n**Day 12-14:** Visit Helsinki for 3 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Valencia**Zurich**Tallinn",
    "ground_truth_durations": "6**7**7**5",
    "num_cities": 4,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Vienna",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 7 days. You would like to visit Zurich for 7 days. You would like to visit Tallinn for 5 days. You plan to stay in Vienna for 6 days. You want to meet a friend in Vienna between day 1 and day 6.\n\nHere are the cities that have direct flights:\nZurich and Tallinn, Vienna and Valencia, Valencia and Zurich, Vienna and Zurich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 7 days. You would like to visit Zurich for 7 days. You would like to visit Tallinn for 5 days. You plan to stay in Vienna for 6 days. You want to meet a friend in Vienna between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Zurich to Tallinn, from Vienna to Valencia, from Valencia to Zurich, from Vienna to Zurich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 22 days:\n\n**Day 1-6:** Arriving in Vienna and visit Vienna for 6 days.\n**Day 6:** Fly from Vienna to Valencia.\n**Day 6-12:** Visit Valencia for 7 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-18:** Visit Zurich for 7 days.\n**Day 18:** Fly from Zurich to Tallinn.\n**Day 18-22:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_382",
    "estimated_output_tokens": 890,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 7 days.\n* City: Zurich, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n* City: Vienna, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Valencia, Duration: 7 days.\n* City: Zurich, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich, Tallinn] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Vienna to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Vienna, Valencia].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Tallinn] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Valencia to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Vienna, Valencia, Zurich].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Vienna, Valencia, Zurich, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Vienna and visit Vienna for 6 days.\n**Day 6:** Fly from Vienna to Valencia.\n**Day 6-12:** Visit Valencia for 7 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-18:** Visit Zurich for 7 days.\n**Day 18:** Fly from Zurich to Tallinn.\n**Day 18-22:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Istanbul**Amsterdam**Mykonos",
    "ground_truth_durations": "6**3**6**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 6 days. You would like to visit Amsterdam for 6 days. You are going to attend a wedding in Amsterdam between day 8 and day 13. You plan to stay in Mykonos for 6 days. You want to spend 3 days in Istanbul. From day 6 to day 8, there is a annual show you want to attend in Istanbul.\n\nHere are the cities that have direct flights:\nBerlin and Istanbul, Amsterdam and Mykonos, Berlin and Amsterdam, Istanbul and Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 6 days. You would like to visit Amsterdam for 6 days. You are going to attend a wedding in Amsterdam between day 8 and day 13. You plan to stay in Mykonos for 6 days. You want to spend 3 days in Istanbul. From day 6 to day 8, there is a annual show you want to attend in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Berlin to Istanbul, from Amsterdam to Mykonos, from Berlin to Amsterdam, from Istanbul to Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Amsterdam.\n**Day 8-13:** Visit Amsterdam for 6 days.\n**Day 13:** Fly from Amsterdam to Mykonos.\n**Day 13-18:** Visit Mykonos for 6 days.",
    "id": "trip_planning_example_383",
    "estimated_output_tokens": 970,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 6 days.\n* City: Amsterdam, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Mykonos, Duration: 6 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 6 - 8.\n* City: Amsterdam, Fixed Schedule: Day 8 - 13.\n\nCities needing arrangement:\n* City: Berlin, Duration: 6 days.\n* City: Mykonos, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Mykonos] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 6 - 8).\n |- The departure day of Berlin is Day 6. The arrival day of Istanbul is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Berlin to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 8 - 13).\n   |- The departure day of Istanbul is Day 8. The arrival day of Amsterdam is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Istanbul to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Berlin, Istanbul, Amsterdam].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Amsterdam to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Berlin, Istanbul, Amsterdam, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Berlin and visit Berlin for 6 days.\n**Day 6:** Fly from Berlin to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Amsterdam.\n**Day 8-13:** Visit Amsterdam for 6 days.\n**Day 13:** Fly from Amsterdam to Mykonos.\n**Day 13-18:** Visit Mykonos for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Frankfurt**Valencia**Seville",
    "ground_truth_durations": "6**6**3**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Porto",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Porto. You would like to visit Seville for 2 days. You plan to stay in Frankfurt for 6 days. You want to meet a friend in Frankfurt between day 6 and day 11. You want to spend 3 days in Valencia. From day 11 to day 13, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nFrankfurt and Valencia, Porto and Valencia, Porto and Seville, Valencia and Seville, Porto and Frankfurt.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Porto. You would like to visit Seville for 2 days. You plan to stay in Frankfurt for 6 days. You want to meet a friend in Frankfurt between day 6 and day 11. You want to spend 3 days in Valencia. From day 11 to day 13, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Valencia, from Porto to Valencia, from Porto to Seville, from Valencia to Seville, from Porto to Frankfurt.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Frankfurt.\n**Day 6-11:** Visit Frankfurt for 6 days.\n**Day 11:** Fly from Frankfurt to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n**Day 13:** Fly from Valencia to Seville.\n**Day 13-14:** Visit Seville for 2 days.",
    "id": "trip_planning_example_384",
    "estimated_output_tokens": 966,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 6 days.\n* City: Seville, Duration: 2 days.\n* City: Frankfurt, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 6 - 11.\n* City: Valencia, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Porto, Duration: 6 days.\n* City: Seville, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Seville] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 6 - 11).\n |- The departure day of Porto is Day 6. The arrival day of Frankfurt is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Porto to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 11 - 13).\n   |- The departure day of Frankfurt is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Porto, Frankfurt].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Porto, Frankfurt, Valencia].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Porto, Frankfurt, Valencia, Seville].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Frankfurt.\n**Day 6-11:** Visit Frankfurt for 6 days.\n**Day 11:** Fly from Frankfurt to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n**Day 13:** Fly from Valencia to Seville.\n**Day 13-14:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Split**Oslo**Riga",
    "ground_truth_durations": "5**4**7**5",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Riga"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Berlin",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. From day 5 to day 8, there is a annual show you want to attend in Split. You would like to visit Berlin for 5 days. You would like to visit Oslo for 7 days. You plan to visit relatives in Oslo between day 8 and day 14. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Riga, Split and Oslo, Berlin and Oslo, Oslo and Riga, Berlin and Split.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. From day 5 to day 8, there is a annual show you want to attend in Split. You would like to visit Berlin for 5 days. You would like to visit Oslo for 7 days. You plan to visit relatives in Oslo between day 8 and day 14. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Riga, from Split to Oslo, from Berlin to Oslo, from Oslo to Riga, from Berlin to Split.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Oslo.\n**Day 8-14:** Visit Oslo for 7 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-18:** Visit Riga for 5 days.",
    "id": "trip_planning_example_385",
    "estimated_output_tokens": 961,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Berlin, Duration: 5 days.\n* City: Oslo, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 5 - 8.\n* City: Oslo, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Berlin, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Riga] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 8).\n |- The departure day of Berlin is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n   |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 8 - 14).\n   |- The departure day of Split is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Split to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Berlin, Split, Oslo].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Oslo to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Berlin, Split, Oslo, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Oslo.\n**Day 8-14:** Visit Oslo for 7 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-18:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Bucharest**Madrid**Venice",
    "ground_truth_durations": "3**6**7**3",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 3,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 8,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Bucharest",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 6 days. From day 3 to day 8, there is a annual show you want to attend in Bucharest. You plan to stay in Santorini for 3 days. You plan to stay in Venice for 3 days. You plan to stay in Madrid for 7 days. You are going to attend a wedding in Madrid between day 8 and day 14.\n\nHere are the cities that have direct flights:\nSantorini and Bucharest, Madrid and Venice, Santorini and Venice, Santorini and Madrid, Bucharest and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 6 days. From day 3 to day 8, there is a annual show you want to attend in Bucharest. You plan to stay in Santorini for 3 days. You plan to stay in Venice for 3 days. You plan to stay in Madrid for 7 days. You are going to attend a wedding in Madrid between day 8 and day 14.\n\nHere are the cities that have direct flights:\nfrom Santorini to Bucharest, from Madrid to Venice, from Santorini to Venice, from Santorini to Madrid, from Bucharest to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Bucharest.\n**Day 3-8:** Visit Bucharest for 6 days.\n**Day 8:** Fly from Bucharest to Madrid.\n**Day 8-14:** Visit Madrid for 7 days.\n**Day 14:** Fly from Madrid to Venice.\n**Day 14-16:** Visit Venice for 3 days.",
    "id": "trip_planning_example_386",
    "estimated_output_tokens": 996,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n* City: Santorini, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Madrid, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 3 - 8.\n* City: Madrid, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Venice] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 8).\n |- The departure day of Santorini is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 8 - 14).\n   |- The departure day of Bucharest is Day 8. The arrival day of Madrid is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Bucharest to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Santorini, Bucharest, Madrid].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Madrid to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Santorini, Bucharest, Madrid, Venice].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Bucharest.\n**Day 3-8:** Visit Bucharest for 6 days.\n**Day 8:** Fly from Bucharest to Madrid.\n**Day 8-14:** Visit Madrid for 7 days.\n**Day 14:** Fly from Madrid to Venice.\n**Day 14-16:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Paris**Stockholm**Tallinn",
    "ground_truth_durations": "5**6**4**2",
    "num_cities": 4,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 13,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Split",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You would like to visit Paris for 6 days. From day 5 to day 10, there is a annual show you want to attend in Paris. You plan to stay in Stockholm for 4 days. You want to spend 2 days in Tallinn. During day 13 and day 14, you have to attend a conference in Tallinn.\n\nHere are the cities that have direct flights:\nParis and Stockholm, Split and Paris, Stockholm and Tallinn, Paris and Tallinn, Split and Stockholm.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You would like to visit Paris for 6 days. From day 5 to day 10, there is a annual show you want to attend in Paris. You plan to stay in Stockholm for 4 days. You want to spend 2 days in Tallinn. During day 13 and day 14, you have to attend a conference in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Paris to Stockholm, from Split to Paris, from Stockholm to Tallinn, from Paris to Tallinn, from Split to Stockholm.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 14 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-10:** Visit Paris for 6 days.\n**Day 10:** Fly from Paris to Stockholm.\n**Day 10-13:** Visit Stockholm for 4 days.\n**Day 13:** Fly from Stockholm to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_387",
    "estimated_output_tokens": 1001,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days.\n* City: Paris, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Stockholm, Duration: 4 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 5 - 10.\n* City: Tallinn, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Stockholm] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 10).\n |- The departure day of Split is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 13 - 14).\n   |- The departure day of Paris is Day 10. The arrival day of Tallinn is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Paris to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 13 - 14).\n     |- The departure day of Stockholm is Day 13. The arrival day of Tallinn is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Split, Paris, Stockholm].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Stockholm to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Paris, Stockholm, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-10:** Visit Paris for 6 days.\n**Day 10:** Fly from Paris to Stockholm.\n**Day 10-13:** Visit Stockholm for 4 days.\n**Day 13:** Fly from Stockholm to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Valencia**Lyon**Split",
    "ground_truth_durations": "4**7**7**6",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Split"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 7 days. During day 4 and day 10, you have to attend a conference in Valencia. You would like to visit Split for 6 days. You would like to visit Istanbul for 4 days. You would like to visit Lyon for 7 days.\n\nHere are the cities that have direct flights:\nLyon and Split, Istanbul and Lyon, Istanbul and Valencia, Valencia and Lyon.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 7 days. During day 4 and day 10, you have to attend a conference in Valencia. You would like to visit Split for 6 days. You would like to visit Istanbul for 4 days. You would like to visit Lyon for 7 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Split, from Istanbul to Lyon, from Istanbul to Valencia, from Valencia to Lyon.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Valencia.\n**Day 4-10:** Visit Valencia for 7 days.\n**Day 10:** Fly from Valencia to Lyon.\n**Day 10-16:** Visit Lyon for 7 days.\n**Day 16:** Fly from Lyon to Split.\n**Day 16-21:** Visit Split for 6 days.",
    "id": "trip_planning_example_388",
    "estimated_output_tokens": 1067,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n* City: Split, Duration: 6 days.\n* City: Istanbul, Duration: 4 days.\n* City: Lyon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Split, Duration: 6 days.\n* City: Istanbul, Duration: 4 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Istanbul, Lyon] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 10).\n |- The departure day of Split is Day 6. The arrival day of Valencia is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 10).\n |- The departure day of Istanbul is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Istanbul to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Istanbul, Valencia].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n     |- Try arranging to visit Split from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Valencia to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Valencia to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Istanbul, Valencia, Lyon].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Lyon to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Istanbul, Valencia, Lyon, Split].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Valencia.\n**Day 4-10:** Visit Valencia for 7 days.\n**Day 10:** Fly from Valencia to Lyon.\n**Day 10-16:** Visit Lyon for 7 days.\n**Day 16:** Fly from Lyon to Split.\n**Day 16-21:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Amsterdam**Lisbon**Stuttgart",
    "ground_truth_durations": "5**7**3**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Dublin",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 7 days. You would like to meet your friends at Amsterdam between day 5 and day 11 to tour together. You plan to stay in Stuttgart for 6 days. You plan to visit relatives in Stuttgart between day 13 and day 18. You would like to visit Dublin for 5 days. You would like to visit Lisbon for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Amsterdam, Lisbon and Stuttgart, Amsterdam and Stuttgart, Amsterdam and Lisbon, Dublin and Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 7 days. You would like to meet your friends at Amsterdam between day 5 and day 11 to tour together. You plan to stay in Stuttgart for 6 days. You plan to visit relatives in Stuttgart between day 13 and day 18. You would like to visit Dublin for 5 days. You would like to visit Lisbon for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Amsterdam, from Lisbon to Stuttgart, from Amsterdam to Stuttgart, from Amsterdam to Lisbon, from Dublin to Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Amsterdam.\n**Day 5-11:** Visit Amsterdam for 7 days.\n**Day 11:** Fly from Amsterdam to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-18:** Visit Stuttgart for 6 days.",
    "id": "trip_planning_example_389",
    "estimated_output_tokens": 995,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n* City: Dublin, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 5 - 11.\n* City: Stuttgart, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Dublin, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Lisbon] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 11).\n |- The departure day of Dublin is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Dublin to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 13 - 18).\n   |- The departure day of Amsterdam is Day 11. The arrival day of Stuttgart is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Dublin, Amsterdam].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Amsterdam to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 13 - 18).\n     |- The departure day of Lisbon is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Dublin, Amsterdam, Lisbon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Dublin, Amsterdam, Lisbon, Stuttgart].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Amsterdam.\n**Day 5-11:** Visit Amsterdam for 7 days.\n**Day 11:** Fly from Amsterdam to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-18:** Visit Stuttgart for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Amsterdam**Oslo**Bucharest",
    "ground_truth_durations": "4**7**4**6",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 6 days. You want to spend 4 days in Oslo. You have to attend a workshop in Oslo between day 10 and day 13. You plan to stay in Helsinki for 4 days. You would like to meet your friends at Helsinki between day 1 and day 4 to tour together. You plan to stay in Amsterdam for 7 days.\n\nHere are the cities that have direct flights:\nHelsinki and Amsterdam, Amsterdam and Bucharest, Amsterdam and Oslo, Oslo and Bucharest, Helsinki and Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 6 days. You want to spend 4 days in Oslo. You have to attend a workshop in Oslo between day 10 and day 13. You plan to stay in Helsinki for 4 days. You would like to meet your friends at Helsinki between day 1 and day 4 to tour together. You plan to stay in Amsterdam for 7 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Amsterdam, from Amsterdam to Bucharest, from Amsterdam to Oslo, from Oslo to Bucharest, from Helsinki to Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Amsterdam.\n**Day 4-10:** Visit Amsterdam for 7 days.\n**Day 10:** Fly from Amsterdam to Oslo.\n**Day 10-13:** Visit Oslo for 4 days.\n**Day 13:** Fly from Oslo to Bucharest.\n**Day 13-18:** Visit Bucharest for 6 days.",
    "id": "trip_planning_example_390",
    "estimated_output_tokens": 1015,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 6 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 6 days.\n* City: Amsterdam, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 10 - 13).\n |- The departure day of Helsinki is Day 4. The arrival day of Oslo is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Helsinki to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Helsinki to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 10 - 13).\n   |- The departure day of Amsterdam is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Helsinki, Amsterdam].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Amsterdam to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Helsinki, Amsterdam, Oslo].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Oslo to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Helsinki, Amsterdam, Oslo, Bucharest].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Amsterdam.\n**Day 4-10:** Visit Amsterdam for 7 days.\n**Day 10:** Fly from Amsterdam to Oslo.\n**Day 10-13:** Visit Oslo for 4 days.\n**Day 13:** Fly from Oslo to Bucharest.\n**Day 13-18:** Visit Bucharest for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Rome**Brussels**Krakow",
    "ground_truth_durations": "2**3**3**2",
    "num_cities": 4,
    "total_days": 7,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Rome",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 1 and day 2. You would like to visit Rome for 3 days. You would like to meet your friends at Rome between day 2 and day 4 to tour together. You would like to visit Brussels for 3 days.\n\nHere are the cities that have direct flights:\nBrussels and Krakow, Lyon and Brussels, Lyon and Rome, Rome and Brussels.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 7 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 1 and day 2. You would like to visit Rome for 3 days. You would like to meet your friends at Rome between day 2 and day 4 to tour together. You would like to visit Brussels for 3 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Krakow, from Lyon to Brussels, from Lyon to Rome, from Rome to Brussels.\n\nFind a trip plan of visiting the cities for 7 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 7 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_391",
    "estimated_output_tokens": 979,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Lyon is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Brussels] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Rome, Brussels].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Brussels to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Lyon, Rome, Brussels, Krakow].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Vilnius**Warsaw**Porto",
    "ground_truth_durations": "2**5**6**2",
    "num_cities": 4,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 2,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. You would like to visit Porto for 2 days. You plan to stay in Warsaw for 6 days. You want to meet a friend in Warsaw between day 6 and day 11. You would like to visit Vilnius for 5 days. During day 2 and day 6, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nCopenhagen and Porto, Copenhagen and Vilnius, Copenhagen and Warsaw, Vilnius and Warsaw, Warsaw and Porto.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. You would like to visit Porto for 2 days. You plan to stay in Warsaw for 6 days. You want to meet a friend in Warsaw between day 6 and day 11. You would like to visit Vilnius for 5 days. During day 2 and day 6, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Porto, from Copenhagen to Vilnius, from Copenhagen to Warsaw, from Vilnius to Warsaw, from Warsaw to Porto.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 12 days:\n\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Vilnius.\n**Day 2-6:** Visit Vilnius for 5 days.\n**Day 6:** Fly from Vilnius to Warsaw.\n**Day 6-11:** Visit Warsaw for 6 days.\n**Day 11:** Fly from Warsaw to Porto.\n**Day 11-12:** Visit Porto for 2 days.",
    "id": "trip_planning_example_392",
    "estimated_output_tokens": 988,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Warsaw, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 2 - 6.\n* City: Warsaw, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Porto] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 6).\n |- The departure day of Copenhagen is Day 2. The arrival day of Vilnius is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Copenhagen to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 6 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Vilnius to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Vilnius, Warsaw].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Warsaw to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Vilnius, Warsaw, Porto].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Vilnius.\n**Day 2-6:** Visit Vilnius for 5 days.\n**Day 6:** Fly from Vilnius to Warsaw.\n**Day 6-11:** Visit Warsaw for 6 days.\n**Day 11:** Fly from Warsaw to Porto.\n**Day 11-12:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Istanbul**Tallinn**Amsterdam",
    "ground_truth_durations": "7**6**6**2",
    "num_cities": 4,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 12,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 7 days. You would like to visit Tallinn for 6 days. You would like to meet your friends at Tallinn between day 12 and day 17 to tour together. You want to spend 2 days in Amsterdam. You want to spend 6 days in Istanbul.\n\nHere are the cities that have direct flights:\nVienna and Amsterdam, Istanbul and Amsterdam, Vienna and Istanbul, from Istanbul to Tallinn, Tallinn and Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 7 days. You would like to visit Tallinn for 6 days. You would like to meet your friends at Tallinn between day 12 and day 17 to tour together. You want to spend 2 days in Amsterdam. You want to spend 6 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Vienna to Amsterdam, from Istanbul to Amsterdam, from Vienna to Istanbul, from Istanbul to Tallinn, from Tallinn to Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 18 days:\n\n**Day 1-7:** Arriving in Vienna and visit Vienna for 7 days.\n**Day 7:** Fly from Vienna to Istanbul.\n**Day 7-12:** Visit Istanbul for 6 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-17:** Visit Tallinn for 6 days.\n**Day 17:** Fly from Tallinn to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.",
    "id": "trip_planning_example_393",
    "estimated_output_tokens": 1220,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 7 days.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n* City: Amsterdam, Duration: 2 days.\n* City: Istanbul, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 7 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Istanbul, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Amsterdam, Istanbul] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 12 - 17).\n |- The departure day of Vienna is Day 7. The arrival day of Tallinn is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Istanbul] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vienna to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 12 - 17).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Tallinn is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Amsterdam to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Vienna to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 12 - 17).\n   |- The departure day of Istanbul is Day 12. The arrival day of Tallinn is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Vienna, Istanbul].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Vienna, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n       |- Check for direct flight from Tallinn to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Vienna, Istanbul, Tallinn, Amsterdam].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Vienna and visit Vienna for 7 days.\n**Day 7:** Fly from Vienna to Istanbul.\n**Day 7-12:** Visit Istanbul for 6 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-17:** Visit Tallinn for 6 days.\n**Day 17:** Fly from Tallinn to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Berlin**Stockholm**Santorini",
    "ground_truth_durations": "7**7**6**4",
    "num_cities": 4,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 18,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Berlin",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Reykjavik. You plan to stay in Stockholm for 6 days. You would like to visit Berlin for 7 days. During day 7 and day 13, you have to attend a conference in Berlin. You want to spend 4 days in Santorini. You plan to visit relatives in Santorini between day 18 and day 21.\n\nHere are the cities that have direct flights:\nReykjavik and Berlin, Reykjavik and Stockholm, from Stockholm to Santorini, Berlin and Stockholm.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Reykjavik. You plan to stay in Stockholm for 6 days. You would like to visit Berlin for 7 days. During day 7 and day 13, you have to attend a conference in Berlin. You want to spend 4 days in Santorini. You plan to visit relatives in Santorini between day 18 and day 21.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Berlin, from Reykjavik to Stockholm, from Stockholm to Santorini, from Berlin to Stockholm.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 21 days:\n\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Berlin.\n**Day 7-13:** Visit Berlin for 7 days.\n**Day 13:** Fly from Berlin to Stockholm.\n**Day 13-18:** Visit Stockholm for 6 days.\n**Day 18:** Fly from Stockholm to Santorini.\n**Day 18-21:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_394",
    "estimated_output_tokens": 1055,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 7 days.\n* City: Stockholm, Duration: 6 days.\n* City: Berlin, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 7 - 13.\n* City: Santorini, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 7 days.\n* City: Stockholm, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 13).\n |- The departure day of Reykjavik is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Reykjavik to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 18 - 21).\n   |- The departure day of Berlin is Day 13. The arrival day of Santorini is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Reykjavik, Berlin].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n     |- Check for direct flight from Berlin to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 18 - 21).\n     |- The departure day of Stockholm is Day 18. The arrival day of Santorini is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Reykjavik, Berlin, Stockholm].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- Yes. The city with an arrival day of Day 18 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Reykjavik, Berlin, Stockholm, Santorini].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Berlin.\n**Day 7-13:** Visit Berlin for 7 days.\n**Day 13:** Fly from Berlin to Stockholm.\n**Day 13-18:** Visit Stockholm for 6 days.\n**Day 18:** Fly from Stockholm to Santorini.\n**Day 18-21:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Venice**Copenhagen**Tallinn",
    "ground_truth_durations": "2**3**5**3",
    "num_cities": 4,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. From day 2 to day 4, there is a annual show you want to attend in Venice. You plan to stay in Tallinn for 3 days. You plan to stay in Lyon for 2 days. You plan to stay in Copenhagen for 5 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Tallinn, Venice and Copenhagen, Lyon and Venice.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. From day 2 to day 4, there is a annual show you want to attend in Venice. You plan to stay in Tallinn for 3 days. You plan to stay in Lyon for 2 days. You plan to stay in Copenhagen for 5 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Tallinn, from Venice to Copenhagen, from Lyon to Venice.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 10 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Copenhagen.\n**Day 4-8:** Visit Copenhagen for 5 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_395",
    "estimated_output_tokens": 1085,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Copenhagen] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of Tallinn is Day 3. The arrival day of Venice is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of Lyon is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Venice to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Venice, Copenhagen, Tallinn].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Copenhagen.\n**Day 4-8:** Visit Copenhagen for 5 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Brussels**Seville**Manchester",
    "ground_truth_durations": "6**2**3**3",
    "num_cities": 4,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 7,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Seville"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Zurich",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Zurich. You want to spend 2 days in Brussels. You want to spend 3 days in Manchester. You are going to attend a wedding in Manchester between day 9 and day 11. You want to spend 3 days in Seville. During day 7 and day 9, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nBrussels and Seville, Zurich and Manchester, Brussels and Manchester, Seville and Manchester, Zurich and Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Zurich. You want to spend 2 days in Brussels. You want to spend 3 days in Manchester. You are going to attend a wedding in Manchester between day 9 and day 11. You want to spend 3 days in Seville. During day 7 and day 9, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nfrom Brussels to Seville, from Zurich to Manchester, from Brussels to Manchester, from Seville to Manchester, from Zurich to Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 11 days:\n\n**Day 1-6:** Arriving in Zurich and visit Zurich for 6 days.\n**Day 6:** Fly from Zurich to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Manchester.\n**Day 9-11:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_396",
    "estimated_output_tokens": 1015,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 6 days.\n* City: Brussels, Duration: 2 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 7 - 9.\n* City: Manchester, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Zurich, Duration: 6 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Brussels] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 7 - 9).\n |- The departure day of Zurich is Day 6. The arrival day of Seville is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Zurich to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 7 - 9).\n   |- The departure day of Brussels is Day 7. The arrival day of Seville is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Brussels to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 9 - 11).\n     |- The departure day of Seville is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Zurich, Brussels, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Seville to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Brussels, Seville, Manchester].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Zurich and visit Zurich for 6 days.\n**Day 6:** Fly from Zurich to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Manchester.\n**Day 9-11:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Munich**Budapest**Mykonos",
    "ground_truth_durations": "4**5**2**5",
    "num_cities": 4,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Prague",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 4 days. During day 1 and day 4, you have to attend a conference in Prague. You plan to stay in Budapest for 2 days. You would like to meet your friends at Budapest between day 8 and day 9 to tour together. You want to spend 5 days in Munich. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nMunich and Mykonos, Prague and Budapest, Munich and Budapest, Budapest and Mykonos, Prague and Munich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 4 days. During day 1 and day 4, you have to attend a conference in Prague. You plan to stay in Budapest for 2 days. You would like to meet your friends at Budapest between day 8 and day 9 to tour together. You want to spend 5 days in Munich. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Mykonos, from Prague to Budapest, from Munich to Budapest, from Budapest to Mykonos, from Prague to Munich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 13 days:\n\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Budapest.\n**Day 8-9:** Visit Budapest for 2 days.\n**Day 9:** Fly from Budapest to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_397",
    "estimated_output_tokens": 976,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Munich, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Prague is Day 4. The arrival day of Budapest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Munich is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Munich to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Munich, Budapest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Prague, Munich, Budapest, Mykonos].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Budapest.\n**Day 8-9:** Visit Budapest for 2 days.\n**Day 9:** Fly from Budapest to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Athens**Bucharest**Manchester",
    "ground_truth_durations": "4**2**3**2",
    "num_cities": 4,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You plan to stay in Bucharest for 3 days. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 7 and day 8. You want to spend 4 days in Stockholm. During day 1 and day 4, you have to attend a conference in Stockholm.\n\nHere are the cities that have direct flights:\nStockholm and Manchester, Bucharest and Manchester, Athens and Manchester, Athens and Bucharest, Stockholm and Athens.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 8 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You plan to stay in Bucharest for 3 days. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 7 and day 8. You want to spend 4 days in Stockholm. During day 1 and day 4, you have to attend a conference in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Manchester, from Bucharest to Manchester, from Athens to Manchester, from Athens to Bucharest, from Stockholm to Athens.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 8 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Athens.\n**Day 4-5:** Visit Athens for 2 days.\n**Day 5:** Fly from Athens to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_398",
    "estimated_output_tokens": 1007,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 4.\n* City: Manchester, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 7 - 8).\n |- The departure day of Stockholm is Day 4. The arrival day of Manchester is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Bucharest] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 7 - 8).\n   |- The departure day of Athens is Day 5. The arrival day of Manchester is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 7 - 8).\n     |- The departure day of Bucharest is Day 7. The arrival day of Manchester is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Athens, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Bucharest to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Stockholm, Athens, Bucharest, Manchester].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Athens.\n**Day 4-5:** Visit Athens for 2 days.\n**Day 5:** Fly from Athens to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Florence**Brussels**Riga",
    "ground_truth_durations": "5**5**7**2",
    "num_cities": 4,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Brussels"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Barcelona",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 5 days. From day 1 to day 5, there is a annual show you want to attend in Barcelona. You would like to visit Florence for 5 days. You plan to stay in Riga for 2 days. You plan to visit relatives in Riga between day 15 and day 16. You want to spend 7 days in Brussels.\n\nHere are the cities that have direct flights:\nFlorence and Brussels, Barcelona and Florence, Barcelona and Riga, Brussels and Riga, Barcelona and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 4 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 5 days. From day 1 to day 5, there is a annual show you want to attend in Barcelona. You would like to visit Florence for 5 days. You plan to stay in Riga for 2 days. You plan to visit relatives in Riga between day 15 and day 16. You want to spend 7 days in Brussels.\n\nHere are the cities that have direct flights:\nfrom Florence to Brussels, from Barcelona to Florence, from Barcelona to Riga, from Brussels to Riga, from Barcelona to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 4 European cities for 16 days:\n\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Brussels.\n**Day 9-15:** Visit Brussels for 7 days.\n**Day 15:** Fly from Brussels to Riga.\n**Day 15-16:** Visit Riga for 2 days.",
    "id": "trip_planning_example_399",
    "estimated_output_tokens": 1008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Florence, Duration: 5 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Brussels, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 5.\n* City: Riga, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Florence, Duration: 5 days.\n* City: Brussels, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 15 - 16).\n |- The departure day of Barcelona is Day 5. The arrival day of Riga is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Brussels] and explore these options in order.\n   |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 15 - 16).\n   |- The departure day of Florence is Day 9. The arrival day of Riga is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Barcelona, Florence].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Florence to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 15 - 16).\n     |- The departure day of Brussels is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Barcelona, Florence, Brussels].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Brussels to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Barcelona, Florence, Brussels, Riga].\n        |- All 4 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Brussels.\n**Day 9-15:** Visit Brussels for 7 days.\n**Day 15:** Fly from Brussels to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Lisbon**Reykjavik**Stuttgart**Milan",
    "ground_truth_durations": "5**6**2**6**4",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Milan"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 5 days. You want to spend 4 days in Milan. You want to spend 6 days in Lisbon. You plan to visit relatives in Lisbon between day 5 and day 10. You would like to visit Reykjavik for 2 days. You want to spend 6 days in Stuttgart. During day 11 and day 16, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nZurich and Milan, Reykjavik and Milan, Zurich and Lisbon, Stuttgart and Milan, Lisbon and Milan, Lisbon and Reykjavik, from Reykjavik to Stuttgart, Zurich and Reykjavik, Lisbon and Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 5 days. You want to spend 4 days in Milan. You want to spend 6 days in Lisbon. You plan to visit relatives in Lisbon between day 5 and day 10. You would like to visit Reykjavik for 2 days. You want to spend 6 days in Stuttgart. During day 11 and day 16, you have to attend a conference in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Zurich to Milan, from Reykjavik to Milan, from Zurich to Lisbon, from Stuttgart to Milan, from Lisbon to Milan, from Lisbon to Reykjavik, from Reykjavik to Stuttgart, from Zurich to Reykjavik, from Lisbon to Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Lisbon.\n**Day 5-10:** Visit Lisbon for 6 days.\n**Day 10:** Fly from Lisbon to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Stuttgart.\n**Day 11-16:** Visit Stuttgart for 6 days.\n**Day 16:** Fly from Stuttgart to Milan.\n**Day 16-19:** Visit Milan for 4 days.",
    "id": "trip_planning_example_400",
    "estimated_output_tokens": 1361,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Lisbon, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Reykjavik, Duration: 2 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 5 - 10.\n* City: Stuttgart, Fixed Schedule: Day 11 - 16.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Milan, Reykjavik] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 10).\n |- The departure day of Zurich is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Zurich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 11 - 16).\n   |- The departure day of Lisbon is Day 10. The arrival day of Stuttgart is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Zurich, Lisbon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Lisbon to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 11 - 16).\n     |- The departure day of Milan is Day 13. The arrival day of Stuttgart is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 11 - 16).\n     |- The departure day of Reykjavik is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Zurich, Lisbon, Reykjavik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Zurich, Lisbon, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n         |- Try arranging to visit Milan from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Stuttgart to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Zurich, Lisbon, Reykjavik, Stuttgart, Milan].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Lisbon.\n**Day 5-10:** Visit Lisbon for 6 days.\n**Day 10:** Fly from Lisbon to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Stuttgart.\n**Day 11-16:** Visit Stuttgart for 6 days.\n**Day 16:** Fly from Stuttgart to Milan.\n**Day 16-19:** Visit Milan for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Edinburgh**Seville**Paris**Naples",
    "ground_truth_durations": "4**7**4**6**6",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 13,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Paris"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Paris",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 7 days. You would like to visit Paris for 6 days. You plan to visit relatives in Paris between day 13 and day 18. You would like to visit Riga for 4 days. You would like to meet your friends at Riga between day 1 and day 4 to tour together. You plan to stay in Seville for 4 days. You would like to visit Naples for 6 days.\n\nHere are the cities that have direct flights:\nRiga and Paris, Edinburgh and Paris, Edinburgh and Seville, Seville and Paris, Riga and Edinburgh, Paris and Naples.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 7 days. You would like to visit Paris for 6 days. You plan to visit relatives in Paris between day 13 and day 18. You would like to visit Riga for 4 days. You would like to meet your friends at Riga between day 1 and day 4 to tour together. You plan to stay in Seville for 4 days. You would like to visit Naples for 6 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Paris, from Edinburgh to Paris, from Edinburgh to Seville, from Seville to Paris, from Riga to Edinburgh, from Paris to Naples.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Edinburgh.\n**Day 4-10:** Visit Edinburgh for 7 days.\n**Day 10:** Fly from Edinburgh to Seville.\n**Day 10-13:** Visit Seville for 4 days.\n**Day 13:** Fly from Seville to Paris.\n**Day 13-18:** Visit Paris for 6 days.\n**Day 18:** Fly from Paris to Naples.\n**Day 18-23:** Visit Naples for 6 days.",
    "id": "trip_planning_example_401",
    "estimated_output_tokens": 1225,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 7 days.\n* City: Paris, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Seville, Duration: 4 days.\n* City: Naples, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 7 days.\n* City: Seville, Duration: 4 days.\n* City: Naples, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 13 - 18).\n |- The departure day of Riga is Day 4. The arrival day of Paris is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville, Naples] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 13 - 18).\n   |- The departure day of Edinburgh is Day 10. The arrival day of Paris is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Riga, Edinburgh].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Naples] and explore these options in order.\n     |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Edinburgh to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 13 - 18).\n     |- The departure day of Seville is Day 13. The arrival day of Paris is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Riga, Edinburgh, Seville].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Seville to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Riga, Edinburgh, Seville, Paris].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n         |- Try arranging to visit Naples from Day 18. Duration: 6 days. Schedule: Day 18 - 23.\n         |- Check for direct flight from Paris to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Riga, Edinburgh, Seville, Paris, Naples].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Edinburgh.\n**Day 4-10:** Visit Edinburgh for 7 days.\n**Day 10:** Fly from Edinburgh to Seville.\n**Day 10-13:** Visit Seville for 4 days.\n**Day 13:** Fly from Seville to Paris.\n**Day 13-18:** Visit Paris for 6 days.\n**Day 18:** Fly from Paris to Naples.\n**Day 18-23:** Visit Naples for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Paris**Vienna**Frankfurt**Salzburg",
    "ground_truth_durations": "2**2**3**5**4",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Paris",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 4 days. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 3 and day 5. You would like to visit Frankfurt for 5 days. You plan to stay in Split for 2 days. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 2 and day 3.\n\nHere are the cities that have direct flights:\nSplit and Vienna, Frankfurt and Salzburg, Split and Paris, Split and Frankfurt, Paris and Vienna, Vienna and Frankfurt, Paris and Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 4 days. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 3 and day 5. You would like to visit Frankfurt for 5 days. You plan to stay in Split for 2 days. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 2 and day 3.\n\nHere are the cities that have direct flights:\nfrom Split to Vienna, from Frankfurt to Salzburg, from Split to Paris, from Split to Frankfurt, from Paris to Vienna, from Vienna to Frankfurt, from Paris to Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Salzburg.\n**Day 9-12:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_402",
    "estimated_output_tokens": 1436,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 4 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Frankfurt, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 2 - 3.\n* City: Vienna, Fixed Schedule: Day 3 - 5.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Split] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 3).\n |- The departure day of Salzburg is Day 4. The arrival day of Paris is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 3).\n |- The departure day of Frankfurt is Day 5. The arrival day of Paris is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 3).\n |- The departure day of Split is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vienna (Day 3 - 5).\n   |- The departure day of Paris is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Split, Paris, Vienna].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Vienna to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Vienna to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Split, Paris, Vienna, Frankfurt].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Frankfurt to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Split, Paris, Vienna, Frankfurt, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Salzburg.\n**Day 9-12:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Dublin**Manchester**Frankfurt**Salzburg",
    "ground_truth_durations": "2**4**7**3**3",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Dublin",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 3 days. You would like to visit Tallinn for 2 days. You would like to meet your friends at Tallinn between day 1 and day 2 to tour together. You would like to visit Dublin for 4 days. You would like to visit Manchester for 7 days. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nTallinn and Frankfurt, Tallinn and Dublin, Manchester and Frankfurt, Dublin and Frankfurt, Frankfurt and Salzburg, Dublin and Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 3 days. You would like to visit Tallinn for 2 days. You would like to meet your friends at Tallinn between day 1 and day 2 to tour together. You would like to visit Dublin for 4 days. You would like to visit Manchester for 7 days. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Frankfurt, from Tallinn to Dublin, from Manchester to Frankfurt, from Dublin to Frankfurt, from Frankfurt to Salzburg, from Dublin to Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Dublin.\n**Day 2-5:** Visit Dublin for 4 days.\n**Day 5:** Fly from Dublin to Manchester.\n**Day 5-11:** Visit Manchester for 7 days.\n**Day 11:** Fly from Manchester to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Salzburg.\n**Day 13-15:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_403",
    "estimated_output_tokens": 1254,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Duration: 4 days.\n* City: Manchester, Duration: 7 days.\n* City: Frankfurt, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Dublin, Duration: 4 days.\n* City: Manchester, Duration: 7 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Dublin, Manchester, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Manchester, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Dublin to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Tallinn, Dublin, Manchester].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Manchester to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Manchester to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Tallinn, Dublin, Manchester, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Frankfurt to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Tallinn, Dublin, Manchester, Frankfurt, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Dublin.\n**Day 2-5:** Visit Dublin for 4 days.\n**Day 5:** Fly from Dublin to Manchester.\n**Day 5-11:** Visit Manchester for 7 days.\n**Day 11:** Fly from Manchester to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Salzburg.\n**Day 13-15:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Barcelona**Lyon**Brussels**Warsaw",
    "ground_truth_durations": "5**3**7**5**4",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You want to spend 7 days in Lyon. You want to spend 4 days in Warsaw. During day 17 and day 20, you have to attend a conference in Warsaw. You plan to stay in Brussels for 5 days. You would like to meet your friends at Brussels between day 13 and day 17 to tour together. You would like to visit Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nSantorini and Barcelona, Lyon and Brussels, Barcelona and Brussels, Brussels and Warsaw, Barcelona and Warsaw, Barcelona and Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You want to spend 7 days in Lyon. You want to spend 4 days in Warsaw. During day 17 and day 20, you have to attend a conference in Warsaw. You plan to stay in Brussels for 5 days. You would like to meet your friends at Brussels between day 13 and day 17 to tour together. You would like to visit Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Barcelona, from Lyon to Brussels, from Barcelona to Brussels, from Brussels to Warsaw, from Barcelona to Warsaw, from Barcelona to Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Brussels.\n**Day 13-17:** Visit Brussels for 5 days.\n**Day 17:** Fly from Brussels to Warsaw.\n**Day 17-20:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_404",
    "estimated_output_tokens": 1309,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days.\n* City: Lyon, Duration: 7 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Barcelona, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 13 - 17.\n* City: Warsaw, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Santorini, Duration: 5 days.\n* City: Lyon, Duration: 7 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Lyon, Barcelona] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 13 - 17).\n |- The departure day of Santorini is Day 5. The arrival day of Brussels is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Barcelona] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Santorini to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 13 - 17).\n   |- The departure day of Barcelona is Day 7. The arrival day of Brussels is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 13 - 17).\n     |- The departure day of Lyon is Day 13. The arrival day of Brussels is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, Barcelona, Lyon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Lyon to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 17 - 20).\n       |- The departure day of Brussels is Day 17. The arrival day of Warsaw is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Santorini, Barcelona, Lyon, Brussels].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Brussels to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Santorini, Barcelona, Lyon, Brussels, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Brussels.\n**Day 13-17:** Visit Brussels for 5 days.\n**Day 17:** Fly from Brussels to Warsaw.\n**Day 17-20:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Copenhagen**Riga**Munich**Seville",
    "ground_truth_durations": "5**7**3**5**2",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "London",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 7 days. You want to meet a friend in Copenhagen between day 5 and day 11. You would like to visit Riga for 3 days. You would like to meet your friends at Riga between day 11 and day 13 to tour together. You want to spend 5 days in London. You plan to stay in Seville for 2 days. You want to spend 5 days in Munich.\n\nHere are the cities that have direct flights:\nCopenhagen and Munich, Copenhagen and Riga, Munich and Seville, from Riga to Munich, London and Munich, London and Copenhagen.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 7 days. You want to meet a friend in Copenhagen between day 5 and day 11. You would like to visit Riga for 3 days. You would like to meet your friends at Riga between day 11 and day 13 to tour together. You want to spend 5 days in London. You plan to stay in Seville for 2 days. You want to spend 5 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Munich, from Copenhagen to Riga, from Munich to Seville, from Riga to Munich, from London to Munich, from London to Copenhagen.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Copenhagen.\n**Day 5-11:** Visit Copenhagen for 7 days.\n**Day 11:** Fly from Copenhagen to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-17:** Visit Munich for 5 days.\n**Day 17:** Fly from Munich to Seville.\n**Day 17-18:** Visit Seville for 2 days.",
    "id": "trip_planning_example_405",
    "estimated_output_tokens": 1230,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: London, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 5 - 11.\n* City: Riga, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: London, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Seville, Munich] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 5 - 11).\n |- The departure day of London is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from London to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 11 - 13).\n   |- The departure day of Copenhagen is Day 11. The arrival day of Riga is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [London, Copenhagen].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Copenhagen to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [London, Copenhagen, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Munich] and explore these options in order.\n       |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Riga to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [London, Copenhagen, Riga, Munich].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Munich to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [London, Copenhagen, Riga, Munich, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Copenhagen.\n**Day 5-11:** Visit Copenhagen for 7 days.\n**Day 11:** Fly from Copenhagen to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-17:** Visit Munich for 5 days.\n**Day 17:** Fly from Munich to Seville.\n**Day 17-18:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Bucharest**Dublin**Berlin**Salzburg",
    "ground_truth_durations": "7**2**4**7**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Naples",
        "Dublin"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Naples",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 7 days. You want to spend 2 days in Bucharest. You would like to visit Berlin for 7 days. You would like to visit Naples for 7 days. You would like to meet your friends at Naples between day 1 and day 7 to tour together. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nBucharest and Dublin, Berlin and Salzburg, Naples and Berlin, Naples and Dublin, Dublin and Berlin, Naples and Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 7 days. You want to spend 2 days in Bucharest. You would like to visit Berlin for 7 days. You would like to visit Naples for 7 days. You would like to meet your friends at Naples between day 1 and day 7 to tour together. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Dublin, from Berlin to Salzburg, from Naples to Berlin, from Naples to Dublin, from Dublin to Berlin, from Naples to Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Naples and visit Naples for 7 days.\n**Day 7:** Fly from Naples to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Dublin.\n**Day 8-11:** Visit Dublin for 4 days.\n**Day 11:** Fly from Dublin to Berlin.\n**Day 11-17:** Visit Berlin for 7 days.\n**Day 17:** Fly from Berlin to Salzburg.\n**Day 17-23:** Visit Salzburg for 7 days.",
    "id": "trip_planning_example_406",
    "estimated_output_tokens": 1305,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 7 days.\n* City: Bucharest, Duration: 2 days.\n* City: Berlin, Duration: 7 days.\n* City: Naples, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Dublin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 7.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 7 days.\n* City: Bucharest, Duration: 2 days.\n* City: Berlin, Duration: 7 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Bucharest, Berlin, Dublin] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Naples to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, Bucharest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin, Dublin] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Bucharest to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Bucharest to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Bucharest to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Naples, Bucharest, Dublin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Dublin to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Dublin to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Naples, Bucharest, Dublin, Berlin].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Naples, Bucharest, Dublin, Berlin, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Naples and visit Naples for 7 days.\n**Day 7:** Fly from Naples to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Dublin.\n**Day 8-11:** Visit Dublin for 4 days.\n**Day 11:** Fly from Dublin to Berlin.\n**Day 11-17:** Visit Berlin for 7 days.\n**Day 17:** Fly from Berlin to Salzburg.\n**Day 17-23:** Visit Salzburg for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Prague**Riga**Copenhagen**Stuttgart",
    "ground_truth_durations": "4**3**6**6**4",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 4 days. You want to spend 4 days in Zurich. You want to meet a friend in Zurich between day 1 and day 4. You would like to visit Riga for 6 days. You plan to visit relatives in Riga between day 6 and day 11. You want to spend 6 days in Copenhagen. You would like to visit Prague for 3 days.\n\nHere are the cities that have direct flights:\nZurich and Copenhagen, Zurich and Prague, Riga and Copenhagen, Prague and Copenhagen, Zurich and Riga, Prague and Riga, Copenhagen and Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 4 days. You want to spend 4 days in Zurich. You want to meet a friend in Zurich between day 1 and day 4. You would like to visit Riga for 6 days. You plan to visit relatives in Riga between day 6 and day 11. You want to spend 6 days in Copenhagen. You would like to visit Prague for 3 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Copenhagen, from Zurich to Prague, from Riga to Copenhagen, from Prague to Copenhagen, from Zurich to Riga, from Prague to Riga, from Copenhagen to Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Riga.\n**Day 6-11:** Visit Riga for 6 days.\n**Day 11:** Fly from Riga to Copenhagen.\n**Day 11-16:** Visit Copenhagen for 6 days.\n**Day 16:** Fly from Copenhagen to Stuttgart.\n**Day 16-19:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_407",
    "estimated_output_tokens": 1393,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Riga, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Copenhagen, Duration: 6 days.\n* City: Prague, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 4.\n* City: Riga, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: Copenhagen, Duration: 6 days.\n* City: Prague, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 11).\n |- The departure day of Zurich is Day 4. The arrival day of Riga is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Copenhagen, Prague] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Zurich to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 11).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Riga is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 11).\n   |- The departure day of Prague is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Prague to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Zurich, Prague, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Riga to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Riga to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Zurich, Prague, Riga, Copenhagen].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Copenhagen to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Zurich, Prague, Riga, Copenhagen, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Riga.\n**Day 6-11:** Visit Riga for 6 days.\n**Day 11:** Fly from Riga to Copenhagen.\n**Day 11-16:** Visit Copenhagen for 6 days.\n**Day 16:** Fly from Copenhagen to Stuttgart.\n**Day 16-19:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**London**Amsterdam**Tallinn**Oslo",
    "ground_truth_durations": "3**3**2**4**6",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Tallinn",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. During day 1 and day 3, you have to attend a conference in Venice. You would like to visit Oslo for 6 days. You want to meet a friend in Oslo between day 9 and day 14. You would like to visit Tallinn for 4 days. You want to spend 3 days in London. You would like to visit Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Amsterdam, Amsterdam and Oslo, Amsterdam and Tallinn, Venice and Oslo, Venice and London, London and Oslo, Venice and Amsterdam, Tallinn and Oslo.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. During day 1 and day 3, you have to attend a conference in Venice. You would like to visit Oslo for 6 days. You want to meet a friend in Oslo between day 9 and day 14. You would like to visit Tallinn for 4 days. You want to spend 3 days in London. You would like to visit Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Amsterdam, from Amsterdam to Oslo, from Amsterdam to Tallinn, from Venice to Oslo, from Venice to London, from London to Oslo, from Venice to Amsterdam, from Tallinn to Oslo.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Oslo.\n**Day 9-14:** Visit Oslo for 6 days.",
    "id": "trip_planning_example_408",
    "estimated_output_tokens": 1347,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Tallinn, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 9 - 14).\n |- The departure day of Venice is Day 3. The arrival day of Oslo is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, London, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Venice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Oslo (Day 9 - 14).\n   |- The departure day of London is Day 5. The arrival day of Oslo is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from London to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 9 - 14).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Oslo is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Venice, London, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 9 - 14).\n       |- The departure day of Tallinn is Day 9. The arrival day of Oslo is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, London, Amsterdam, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n         |- Check for direct flight from Tallinn to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, London, Amsterdam, Tallinn, Oslo].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Oslo.\n**Day 9-14:** Visit Oslo for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Helsinki**Split**Hamburg**Bucharest",
    "ground_truth_durations": "3**2**7**2**2",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Split",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Hamburg. You would like to visit Zurich for 3 days. You are going to attend a wedding in Zurich between day 1 and day 3. You would like to visit Helsinki for 2 days. You plan to stay in Bucharest for 2 days. You would like to visit Split for 7 days. During day 4 and day 10, you have to attend a conference in Split.\n\nHere are the cities that have direct flights:\nZurich and Helsinki, Hamburg and Bucharest, Helsinki and Hamburg, Zurich and Hamburg, Zurich and Bucharest, Zurich and Split, Helsinki and Split, Split and Hamburg.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Hamburg. You would like to visit Zurich for 3 days. You are going to attend a wedding in Zurich between day 1 and day 3. You would like to visit Helsinki for 2 days. You plan to stay in Bucharest for 2 days. You would like to visit Split for 7 days. During day 4 and day 10, you have to attend a conference in Split.\n\nHere are the cities that have direct flights:\nfrom Zurich to Helsinki, from Hamburg to Bucharest, from Helsinki to Hamburg, from Zurich to Hamburg, from Zurich to Bucharest, from Zurich to Split, from Helsinki to Split, from Split to Hamburg.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-10:** Visit Split for 7 days.\n**Day 10:** Fly from Split to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_409",
    "estimated_output_tokens": 1430,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 2 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 3.\n* City: Split, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 10).\n |- The departure day of Zurich is Day 3. The arrival day of Split is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Helsinki, Bucharest] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 4 - 10).\n   |- The departure day of Hamburg is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n     |- Try arranging to visit Split from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Hamburg to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 4 - 10).\n   |- The departure day of Helsinki is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n     |- Try arranging to visit Split from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Helsinki to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Zurich, Helsinki, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Helsinki, Split, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Zurich, Helsinki, Split, Hamburg, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-10:** Visit Split for 7 days.\n**Day 10:** Fly from Split to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Nice**Dublin**Valencia**Stuttgart",
    "ground_truth_durations": "2**3**7**2**5",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Mykonos",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You want to spend 3 days in Nice. You would like to meet your friends at Nice between day 2 and day 4 to tour together. You plan to stay in Stuttgart for 5 days. You would like to visit Dublin for 7 days. You would like to visit Valencia for 2 days. From day 10 to day 11, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nValencia and Stuttgart, Dublin and Valencia, Nice and Dublin, Mykonos and Nice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You want to spend 3 days in Nice. You would like to meet your friends at Nice between day 2 and day 4 to tour together. You plan to stay in Stuttgart for 5 days. You would like to visit Dublin for 7 days. You would like to visit Valencia for 2 days. From day 10 to day 11, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Valencia to Stuttgart, from Dublin to Valencia, from Nice to Dublin, from Mykonos to Nice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Nice.\n**Day 2-4:** Visit Nice for 3 days.\n**Day 4:** Fly from Nice to Dublin.\n**Day 4-10:** Visit Dublin for 7 days.\n**Day 10:** Fly from Dublin to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_410",
    "estimated_output_tokens": 1271,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Stuttgart, Duration: 5 days.\n* City: Dublin, Duration: 7 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 2 - 4.\n* City: Valencia, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Dublin, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Stuttgart, Dublin] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 4).\n |- The departure day of Mykonos is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 10 - 11).\n   |- The departure day of Nice is Day 4. The arrival day of Valencia is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Mykonos, Nice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dublin] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Nice to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 11).\n     |- The departure day of Dublin is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Nice, Dublin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dublin to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Nice, Dublin, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Mykonos, Nice, Dublin, Valencia, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Nice.\n**Day 2-4:** Visit Nice for 3 days.\n**Day 4:** Fly from Nice to Dublin.\n**Day 4-10:** Visit Dublin for 7 days.\n**Day 10:** Fly from Dublin to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Edinburgh**Geneva**Berlin**Salzburg",
    "ground_truth_durations": "5**7**5**2**3",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Geneva"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 7 days. You are going to attend a wedding in Edinburgh between day 5 and day 11. You plan to stay in Berlin for 2 days. From day 15 to day 16, there is a annual show you want to attend in Berlin. You would like to visit Salzburg for 3 days. You want to spend 5 days in Geneva. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nPrague and Geneva, Berlin and Salzburg, Edinburgh and Berlin, Edinburgh and Geneva, Prague and Edinburgh, Geneva and Berlin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 7 days. You are going to attend a wedding in Edinburgh between day 5 and day 11. You plan to stay in Berlin for 2 days. From day 15 to day 16, there is a annual show you want to attend in Berlin. You would like to visit Salzburg for 3 days. You want to spend 5 days in Geneva. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Geneva, from Berlin to Salzburg, from Edinburgh to Berlin, from Edinburgh to Geneva, from Prague to Edinburgh, from Geneva to Berlin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-11:** Visit Edinburgh for 7 days.\n**Day 11:** Fly from Edinburgh to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Salzburg.\n**Day 16-18:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_411",
    "estimated_output_tokens": 1798,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Salzburg, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 5 - 11.\n* City: Berlin, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Geneva, Prague] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 11).\n |- The departure day of Salzburg is Day 3. The arrival day of Edinburgh is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Prague] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 11).\n |- The departure day of Geneva is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Geneva to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 11).\n |- The departure day of Prague is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Prague to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 15 - 16).\n   |- The departure day of Edinburgh is Day 11. The arrival day of Berlin is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Prague, Edinburgh].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Geneva] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Edinburgh to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Edinburgh to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 15 - 16).\n     |- The departure day of Geneva is Day 15. The arrival day of Berlin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Prague, Edinburgh, Geneva].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Geneva to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Prague, Edinburgh, Geneva, Berlin].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Prague, Edinburgh, Geneva, Berlin, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-11:** Visit Edinburgh for 7 days.\n**Day 11:** Fly from Edinburgh to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Salzburg.\n**Day 16-18:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Hamburg**Brussels**Krakow**Stockholm",
    "ground_truth_durations": "2**3**4**3**5",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Brussels",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. You want to spend 3 days in Krakow. You plan to stay in Madrid for 2 days. You want to meet a friend in Madrid between day 1 and day 2. You want to spend 5 days in Stockholm. You plan to visit relatives in Stockholm between day 9 and day 13. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nHamburg and Brussels, Brussels and Stockholm, Madrid and Brussels, Krakow and Stockholm, Hamburg and Stockholm, Madrid and Hamburg, Madrid and Stockholm, Brussels and Krakow.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. You want to spend 3 days in Krakow. You plan to stay in Madrid for 2 days. You want to meet a friend in Madrid between day 1 and day 2. You want to spend 5 days in Stockholm. You plan to visit relatives in Stockholm between day 9 and day 13. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Brussels, from Brussels to Stockholm, from Madrid to Brussels, from Krakow to Stockholm, from Hamburg to Stockholm, from Madrid to Hamburg, from Madrid to Stockholm, from Brussels to Krakow.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Hamburg.\n**Day 2-4:** Visit Hamburg for 3 days.\n**Day 4:** Fly from Hamburg to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_412",
    "estimated_output_tokens": 1299,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Brussels, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 9 - 13).\n |- The departure day of Madrid is Day 2. The arrival day of Stockholm is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Krakow, Brussels] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 9 - 13).\n   |- The departure day of Hamburg is Day 4. The arrival day of Stockholm is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Brussels] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Hamburg to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Hamburg to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 9 - 13).\n     |- The departure day of Brussels is Day 7. The arrival day of Stockholm is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Hamburg, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 9 - 13).\n       |- The departure day of Krakow is Day 9. The arrival day of Stockholm is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Hamburg, Brussels, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Krakow to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Madrid, Hamburg, Brussels, Krakow, Stockholm].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Hamburg.\n**Day 2-4:** Visit Hamburg for 3 days.\n**Day 4:** Fly from Hamburg to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lyon**Valencia**Zurich**Stockholm",
    "ground_truth_durations": "5**6**7**4**5",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 5. You want to spend 5 days in Stockholm. You would like to visit Valencia for 7 days. You would like to visit Zurich for 4 days. You would like to visit Lyon for 6 days.\n\nHere are the cities that have direct flights:\nBucharest and Zurich, Lyon and Valencia, Valencia and Zurich, Bucharest and Valencia, Zurich and Stockholm, Bucharest and Lyon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 5. You want to spend 5 days in Stockholm. You would like to visit Valencia for 7 days. You would like to visit Zurich for 4 days. You would like to visit Lyon for 6 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Zurich, from Lyon to Valencia, from Valencia to Zurich, from Bucharest to Valencia, from Zurich to Stockholm, from Bucharest to Lyon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Lyon.\n**Day 5-10:** Visit Lyon for 6 days.\n**Day 10:** Fly from Lyon to Valencia.\n**Day 10-16:** Visit Valencia for 7 days.\n**Day 16:** Fly from Valencia to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Stockholm.\n**Day 19-23:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_413",
    "estimated_output_tokens": 2486,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stockholm, Duration: 5 days.\n* City: Valencia, Duration: 7 days.\n* City: Zurich, Duration: 4 days.\n* City: Lyon, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 5 days.\n* City: Valencia, Duration: 7 days.\n* City: Zurich, Duration: 4 days.\n* City: Lyon, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Valencia, Zurich, Lyon] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Bucharest to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Bucharest, Valencia].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Zurich, Lyon] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Valencia to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Valencia to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Bucharest, Valencia, Zurich].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Lyon] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Zurich to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Bucharest, Valencia, Zurich, Stockholm].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 18. Duration: 6 days. Schedule: Day 18 - 23.\n         |- Check for direct flight from Stockholm to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Zurich to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Valencia to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Valencia, Lyon] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Zurich to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Bucharest, Zurich, Stockholm].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Lyon] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Stockholm to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Stockholm to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Zurich to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Valencia, Zurich] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Lyon to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Lyon to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Lyon, Valencia].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Zurich] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Valencia to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n       |- Check for direct flight from Valencia to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Bucharest, Lyon, Valencia, Zurich].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Zurich to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Bucharest, Lyon, Valencia, Zurich, Stockholm].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Lyon.\n**Day 5-10:** Visit Lyon for 6 days.\n**Day 10:** Fly from Lyon to Valencia.\n**Day 10-16:** Visit Valencia for 7 days.\n**Day 16:** Fly from Valencia to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Stockholm.\n**Day 19-23:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Riga**Istanbul**Edinburgh**Seville",
    "ground_truth_durations": "6**2**5**4**7",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 14,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Athens",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Edinburgh. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 6 and day 7. You plan to stay in Athens for 6 days. You would like to visit Seville for 7 days. You would like to meet your friends at Seville between day 14 and day 20 to tour together. You would like to visit Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Edinburgh, Riga and Istanbul, from Athens to Riga, Riga and Edinburgh, Edinburgh and Seville, Athens and Istanbul, Athens and Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Edinburgh. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 6 and day 7. You plan to stay in Athens for 6 days. You would like to visit Seville for 7 days. You would like to meet your friends at Seville between day 14 and day 20 to tour together. You would like to visit Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Edinburgh, from Riga to Istanbul, from Athens to Riga, from Riga to Edinburgh, from Edinburgh to Seville, from Athens to Istanbul, from Athens to Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Edinburgh.\n**Day 11-14:** Visit Edinburgh for 4 days.\n**Day 14:** Fly from Edinburgh to Seville.\n**Day 14-20:** Visit Seville for 7 days.",
    "id": "trip_planning_example_414",
    "estimated_output_tokens": 1821,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Athens, Duration: 6 days.\n* City: Seville, Duration: 7 days, Fixed Schedule: Day 14 - 20.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 6 - 7.\n* City: Seville, Fixed Schedule: Day 14 - 20.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Athens, Duration: 6 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Athens, Istanbul] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 7).\n |- The departure day of Edinburgh is Day 4. The arrival day of Riga is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Istanbul] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 7).\n |- The departure day of Athens is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Athens to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 14 - 20).\n   |- The departure day of Riga is Day 7. The arrival day of Seville is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Athens, Riga].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Istanbul] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Riga to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 14 - 20).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Seville is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Athens, Riga, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Edinburgh to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Riga to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 14 - 20).\n     |- The departure day of Istanbul is Day 11. The arrival day of Seville is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Riga, Istanbul].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Istanbul to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 14 - 20).\n       |- The departure day of Edinburgh is Day 14. The arrival day of Seville is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Athens, Riga, Istanbul, Edinburgh].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n         |- Check for direct flight from Edinburgh to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Athens, Riga, Istanbul, Edinburgh, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Edinburgh.\n**Day 11-14:** Visit Edinburgh for 4 days.\n**Day 14:** Fly from Edinburgh to Seville.\n**Day 14-20:** Visit Seville for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Paris**Stockholm**Frankfurt**Salzburg",
    "ground_truth_durations": "3**2**2**7**5",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Paris"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Paris",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Paris. You would like to meet your friends at Paris between day 3 and day 4 to tour together. You plan to stay in Riga for 3 days. You would like to visit Stockholm for 2 days. You plan to visit relatives in Stockholm between day 4 and day 5. You would like to visit Salzburg for 5 days. You would like to visit Frankfurt for 7 days.\n\nHere are the cities that have direct flights:\nRiga and Paris, Riga and Stockholm, Paris and Frankfurt, Riga and Frankfurt, Frankfurt and Salzburg, Stockholm and Frankfurt, Paris and Stockholm.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Paris. You would like to meet your friends at Paris between day 3 and day 4 to tour together. You plan to stay in Riga for 3 days. You would like to visit Stockholm for 2 days. You plan to visit relatives in Stockholm between day 4 and day 5. You would like to visit Salzburg for 5 days. You would like to visit Frankfurt for 7 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Paris, from Riga to Stockholm, from Paris to Frankfurt, from Riga to Frankfurt, from Frankfurt to Salzburg, from Stockholm to Frankfurt, from Paris to Stockholm.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Frankfurt.\n**Day 5-11:** Visit Frankfurt for 7 days.\n**Day 11:** Fly from Frankfurt to Salzburg.\n**Day 11-15:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_415",
    "estimated_output_tokens": 1230,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Riga, Duration: 3 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Salzburg, Frankfurt] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 4).\n |- The departure day of Riga is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 4 - 5).\n   |- The departure day of Paris is Day 4. The arrival day of Stockholm is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Paris to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Paris, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Stockholm to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n       |- Check for direct flight from Stockholm to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Riga, Paris, Stockholm, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Frankfurt to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Riga, Paris, Stockholm, Frankfurt, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Frankfurt.\n**Day 5-11:** Visit Frankfurt for 7 days.\n**Day 11:** Fly from Frankfurt to Salzburg.\n**Day 11-15:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Dubrovnik**Naples**Split",
    "ground_truth_durations": "6**7**4**5**4",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Split"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 6 days. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 12 and day 15. You plan to stay in Rome for 7 days. You would like to visit Naples for 5 days. You would like to meet your friends at Naples between day 15 and day 19 to tour together. You plan to stay in Split for 4 days.\n\nHere are the cities that have direct flights:\nRome and Split, Rome and Naples, Naples and Split, Rome and Dubrovnik, Seville and Rome, Dubrovnik and Naples.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 6 days. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 12 and day 15. You plan to stay in Rome for 7 days. You would like to visit Naples for 5 days. You would like to meet your friends at Naples between day 15 and day 19 to tour together. You plan to stay in Split for 4 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Split, from Rome to Naples, from Naples to Split, from Rome to Dubrovnik, from Seville to Rome, from Dubrovnik to Naples.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Rome.\n**Day 6-12:** Visit Rome for 7 days.\n**Day 12:** Fly from Rome to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Naples.\n**Day 15-19:** Visit Naples for 5 days.\n**Day 19:** Fly from Naples to Split.\n**Day 19-22:** Visit Split for 4 days.",
    "id": "trip_planning_example_416",
    "estimated_output_tokens": 1243,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 6 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Rome, Duration: 7 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Split, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 12 - 15.\n* City: Naples, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Seville, Duration: 6 days.\n* City: Rome, Duration: 7 days.\n* City: Split, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Rome, Split] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 15).\n |- The departure day of Seville is Day 6. The arrival day of Dubrovnik is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Split] and explore these options in order.\n   |- Try arranging to visit Rome from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 12 - 15).\n   |- The departure day of Rome is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Naples (Day 15 - 19).\n     |- The departure day of Dubrovnik is Day 15. The arrival day of Naples is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Seville, Rome, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Seville, Rome, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n         |- Check for direct flight from Naples to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Seville, Rome, Dubrovnik, Naples, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Rome.\n**Day 6-12:** Visit Rome for 7 days.\n**Day 12:** Fly from Rome to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Naples.\n**Day 15-19:** Visit Naples for 5 days.\n**Day 19:** Fly from Naples to Split.\n**Day 19-22:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Lyon**Rome**Santorini**Venice",
    "ground_truth_durations": "4**7**4**7**3",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Rome"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Nice",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You have to attend a workshop in Venice between day 19 and day 21. You would like to visit Santorini for 7 days. You plan to stay in Lyon for 7 days. You plan to stay in Nice for 4 days. You want to meet a friend in Nice between day 1 and day 4. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nLyon and Rome, Lyon and Venice, Rome and Santorini, Nice and Lyon, Rome and Venice, Santorini and Venice, Nice and Venice, Nice and Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You have to attend a workshop in Venice between day 19 and day 21. You would like to visit Santorini for 7 days. You plan to stay in Lyon for 7 days. You plan to stay in Nice for 4 days. You want to meet a friend in Nice between day 1 and day 4. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Rome, from Lyon to Venice, from Rome to Santorini, from Nice to Lyon, from Rome to Venice, from Santorini to Venice, from Nice to Venice, from Nice to Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Lyon.\n**Day 4-10:** Visit Lyon for 7 days.\n**Day 10:** Fly from Lyon to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Santorini.\n**Day 13-19:** Visit Santorini for 7 days.\n**Day 19:** Fly from Santorini to Venice.\n**Day 19-21:** Visit Venice for 3 days.",
    "id": "trip_planning_example_417",
    "estimated_output_tokens": 1357,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Santorini, Duration: 7 days.\n* City: Lyon, Duration: 7 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 4.\n* City: Venice, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 7 days.\n* City: Lyon, Duration: 7 days.\n* City: Rome, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 19 - 21).\n |- The departure day of Nice is Day 4. The arrival day of Venice is Day 19. Day 4 is not later than (<=) Day 19. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon, Rome] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Nice to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Nice to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 19 - 21).\n   |- The departure day of Lyon is Day 10. The arrival day of Venice is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Nice, Lyon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Rome] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Lyon to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Lyon to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 19 - 21).\n     |- The departure day of Rome is Day 13. The arrival day of Venice is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Nice, Lyon, Rome].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Rome to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 19 - 21).\n       |- The departure day of Santorini is Day 19. The arrival day of Venice is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Nice, Lyon, Rome, Santorini].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Nice, Lyon, Rome, Santorini, Venice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Lyon.\n**Day 4-10:** Visit Lyon for 7 days.\n**Day 10:** Fly from Lyon to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Santorini.\n**Day 13-19:** Visit Santorini for 7 days.\n**Day 19:** Fly from Santorini to Venice.\n**Day 19-21:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Amsterdam**Venice**Stuttgart**Porto",
    "ground_truth_durations": "2**6**6**2**3",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Venice",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. From day 13 to day 15, there is a annual show you want to attend in Porto. You want to spend 2 days in Tallinn. You plan to stay in Venice for 6 days. You would like to visit Amsterdam for 6 days. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Stuttgart, Amsterdam and Venice, Tallinn and Amsterdam, Amsterdam and Porto, Stuttgart and Porto, Venice and Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. From day 13 to day 15, there is a annual show you want to attend in Porto. You want to spend 2 days in Tallinn. You plan to stay in Venice for 6 days. You would like to visit Amsterdam for 6 days. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Stuttgart, from Amsterdam to Venice, from Tallinn to Amsterdam, from Amsterdam to Porto, from Stuttgart to Porto, from Venice to Stuttgart.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Amsterdam.\n**Day 2-7:** Visit Amsterdam for 6 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-12:** Visit Venice for 6 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.\n**Day 13:** Fly from Stuttgart to Porto.\n**Day 13-15:** Visit Porto for 3 days.",
    "id": "trip_planning_example_418",
    "estimated_output_tokens": 1294,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Tallinn, Duration: 2 days.\n* City: Venice, Duration: 6 days.\n* City: Amsterdam, Duration: 6 days.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Venice, Duration: 6 days.\n* City: Amsterdam, Duration: 6 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Venice, Amsterdam, Stuttgart] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 13 - 15).\n |- The departure day of Tallinn is Day 2. The arrival day of Porto is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Amsterdam, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Tallinn to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Tallinn to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 13 - 15).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Porto is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Amsterdam to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 13 - 15).\n     |- The departure day of Venice is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Tallinn, Amsterdam, Venice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 13 - 15).\n       |- The departure day of Stuttgart is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Tallinn, Amsterdam, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stuttgart to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Tallinn, Amsterdam, Venice, Stuttgart, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Amsterdam.\n**Day 2-7:** Visit Amsterdam for 6 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-12:** Visit Venice for 6 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.\n**Day 13:** Fly from Stuttgart to Porto.\n**Day 13-15:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Venice**Edinburgh**Riga**Vilnius",
    "ground_truth_durations": "2**3**6**3**2",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Stuttgart",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 6 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 4 and day 9. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 2 and day 4. You plan to stay in Riga for 3 days. You would like to visit Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and Edinburgh, Edinburgh and Riga, from Riga to Vilnius, Venice and Edinburgh, Stuttgart and Venice.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 6 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 4 and day 9. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 2 and day 4. You plan to stay in Riga for 3 days. You would like to visit Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Edinburgh, from Edinburgh to Riga, from Riga to Vilnius, from Venice to Edinburgh, from Stuttgart to Venice.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Edinburgh.\n**Day 4-9:** Visit Edinburgh for 6 days.\n**Day 9:** Fly from Edinburgh to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_419",
    "estimated_output_tokens": 1196,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days.\n* City: Edinburgh, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Riga, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 2 - 4.\n* City: Edinburgh, Fixed Schedule: Day 4 - 9.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Riga, Vilnius] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of Stuttgart is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 4 - 9).\n   |- The departure day of Venice is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stuttgart, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, Venice, Edinburgh, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stuttgart, Venice, Edinburgh, Riga, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Edinburgh.\n**Day 4-9:** Visit Edinburgh for 6 days.\n**Day 9:** Fly from Edinburgh to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Mykonos**Nice**Edinburgh**Seville",
    "ground_truth_durations": "5**2**6**2**2",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Nice",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 6 days. You want to spend 2 days in Edinburgh. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 1 and day 5. You want to spend 2 days in Seville. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nMykonos and Nice, Edinburgh and Seville, Athens and Edinburgh, Athens and Mykonos, Athens and Nice, Nice and Edinburgh.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 6 days. You want to spend 2 days in Edinburgh. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 1 and day 5. You want to spend 2 days in Seville. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Nice, from Edinburgh to Seville, from Athens to Edinburgh, from Athens to Mykonos, from Athens to Nice, from Nice to Edinburgh.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Mykonos.\n**Day 5-6:** Visit Mykonos for 2 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-11:** Visit Nice for 6 days.\n**Day 11:** Fly from Nice to Edinburgh.\n**Day 11-12:** Visit Edinburgh for 2 days.\n**Day 12:** Fly from Edinburgh to Seville.\n**Day 12-13:** Visit Seville for 2 days.",
    "id": "trip_planning_example_420",
    "estimated_output_tokens": 2448,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 6 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Seville, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Nice, Duration: 6 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh, Seville, Mykonos] and explore these options in order.\n   |- Try arranging to visit Nice from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Athens to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Athens, Nice].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville, Mykonos] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Nice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Nice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Mykonos] and explore these options in order.\n       |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Nice, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Seville to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Edinburgh to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Nice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Nice to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Athens to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Seville, Mykonos] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Edinburgh to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Edinburgh to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Athens, Edinburgh, Seville].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Mykonos] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n       |- Check for direct flight from Seville to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Seville to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Edinburgh to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Athens to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Mykonos].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh, Seville] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Mykonos to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Mykonos, Nice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Mykonos, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Edinburgh to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Athens, Mykonos, Nice, Edinburgh, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Mykonos.\n**Day 5-6:** Visit Mykonos for 2 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-11:** Visit Nice for 6 days.\n**Day 11:** Fly from Nice to Edinburgh.\n**Day 11-12:** Visit Edinburgh for 2 days.\n**Day 12:** Fly from Edinburgh to Seville.\n**Day 12-13:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Lyon**Dublin**Krakow**Frankfurt",
    "ground_truth_durations": "5**4**7**6**2",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Dublin"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Nice",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 1 and day 5. You would like to visit Krakow for 6 days. You would like to visit Dublin for 7 days. You plan to stay in Lyon for 4 days. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 19 and day 20 to tour together.\n\nHere are the cities that have direct flights:\nNice and Dublin, Dublin and Frankfurt, Dublin and Krakow, Krakow and Frankfurt, Lyon and Frankfurt, Nice and Frankfurt, Lyon and Dublin, Nice and Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 1 and day 5. You would like to visit Krakow for 6 days. You would like to visit Dublin for 7 days. You plan to stay in Lyon for 4 days. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 19 and day 20 to tour together.\n\nHere are the cities that have direct flights:\nfrom Nice to Dublin, from Dublin to Frankfurt, from Dublin to Krakow, from Krakow to Frankfurt, from Lyon to Frankfurt, from Nice to Frankfurt, from Lyon to Dublin, from Nice to Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Dublin.\n**Day 8-14:** Visit Dublin for 7 days.\n**Day 14:** Fly from Dublin to Krakow.\n**Day 14-19:** Visit Krakow for 6 days.\n**Day 19:** Fly from Krakow to Frankfurt.\n**Day 19-20:** Visit Frankfurt for 2 days.",
    "id": "trip_planning_example_421",
    "estimated_output_tokens": 1854,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Duration: 6 days.\n* City: Dublin, Duration: 7 days.\n* City: Lyon, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Frankfurt, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Krakow, Duration: 6 days.\n* City: Dublin, Duration: 7 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 19 - 20).\n |- The departure day of Nice is Day 5. The arrival day of Frankfurt is Day 19. Day 5 is not later than (<=) Day 19. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Dublin, Lyon] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Nice to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Nice to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 19 - 20).\n   |- The departure day of Dublin is Day 11. The arrival day of Frankfurt is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Nice, Dublin].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Lyon] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Dublin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 19 - 20).\n     |- The departure day of Krakow is Day 16. The arrival day of Frankfurt is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Nice, Dublin, Krakow].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n       |- Check for direct flight from Krakow to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Dublin to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 19 - 20).\n   |- The departure day of Lyon is Day 8. The arrival day of Frankfurt is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Dublin] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Lyon to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 19 - 20).\n     |- The departure day of Dublin is Day 14. The arrival day of Frankfurt is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Nice, Lyon, Dublin].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Dublin to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 19 - 20).\n       |- The departure day of Krakow is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Nice, Lyon, Dublin, Krakow].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n         |- Check for direct flight from Krakow to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Nice, Lyon, Dublin, Krakow, Frankfurt].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Dublin.\n**Day 8-14:** Visit Dublin for 7 days.\n**Day 14:** Fly from Dublin to Krakow.\n**Day 14-19:** Visit Krakow for 6 days.\n**Day 19:** Fly from Krakow to Frankfurt.\n**Day 19-20:** Visit Frankfurt for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Paris**Budapest**Brussels",
    "ground_truth_durations": "7**4**3**4**7",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Budapest"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Paris",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Brussels. You want to spend 3 days in Paris. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 7 and day 10 to tour together. You want to spend 4 days in Budapest. You plan to visit relatives in Budapest between day 12 and day 15. You plan to stay in Salzburg for 7 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Budapest, Budapest and Brussels, Salzburg and Frankfurt, Frankfurt and Paris, Paris and Budapest, from Brussels to Frankfurt, Paris and Brussels.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Brussels. You want to spend 3 days in Paris. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 7 and day 10 to tour together. You want to spend 4 days in Budapest. You plan to visit relatives in Budapest between day 12 and day 15. You plan to stay in Salzburg for 7 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Budapest, from Budapest to Brussels, from Salzburg to Frankfurt, from Frankfurt to Paris, from Paris to Budapest, from Brussels to Frankfurt, from Paris to Brussels.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-7:** Arriving in Salzburg and visit Salzburg for 7 days.\n**Day 7:** Fly from Salzburg to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Paris.\n**Day 10-12:** Visit Paris for 3 days.\n**Day 12:** Fly from Paris to Budapest.\n**Day 12-15:** Visit Budapest for 4 days.\n**Day 15:** Fly from Budapest to Brussels.\n**Day 15-21:** Visit Brussels for 7 days.",
    "id": "trip_planning_example_422",
    "estimated_output_tokens": 2499,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 7 days.\n* City: Paris, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Salzburg, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 7 - 10.\n* City: Budapest, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Brussels, Duration: 7 days.\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Paris, Salzburg] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 7 - 10).\n |- The departure day of Brussels is Day 7. The arrival day of Frankfurt is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Brussels to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 12 - 15).\n   |- The departure day of Frankfurt is Day 10. The arrival day of Budapest is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Brussels, Frankfurt].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Salzburg] and explore these options in order.\n     |- Try arranging to visit Paris from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Frankfurt to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 12 - 15).\n     |- The departure day of Paris is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Brussels, Frankfurt, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Paris to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Brussels, Frankfurt, Paris, Budapest].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Budapest to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 7 - 10).\n |- The departure day of Paris is Day 3. The arrival day of Frankfurt is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Salzburg] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Paris to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 7 - 10).\n   |- The departure day of Brussels is Day 9. The arrival day of Frankfurt is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Paris to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 7 - 10).\n |- The departure day of Salzburg is Day 7. The arrival day of Frankfurt is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 12 - 15).\n   |- The departure day of Frankfurt is Day 10. The arrival day of Budapest is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Paris] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Frankfurt to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Frankfurt to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 12 - 15).\n     |- The departure day of Paris is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Frankfurt, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Paris to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Salzburg, Frankfurt, Paris, Budapest].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Budapest to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Salzburg, Frankfurt, Paris, Budapest, Brussels].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Salzburg and visit Salzburg for 7 days.\n**Day 7:** Fly from Salzburg to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Paris.\n**Day 10-12:** Visit Paris for 3 days.\n**Day 12:** Fly from Paris to Budapest.\n**Day 12-15:** Visit Budapest for 4 days.\n**Day 15:** Fly from Budapest to Brussels.\n**Day 15-21:** Visit Brussels for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Athens**Hamburg**Madrid**Seville",
    "ground_truth_durations": "5**5**6**3**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Athens"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Paris",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Seville. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 5 and day 9. You want to spend 3 days in Madrid. You plan to stay in Paris for 5 days. You want to meet a friend in Paris between day 1 and day 5. You plan to stay in Hamburg for 6 days.\n\nHere are the cities that have direct flights:\nParis and Athens, Madrid and Seville, Paris and Madrid, Athens and Hamburg, Athens and Madrid, Paris and Seville, Hamburg and Madrid, Paris and Hamburg.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Seville. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 5 and day 9. You want to spend 3 days in Madrid. You plan to stay in Paris for 5 days. You want to meet a friend in Paris between day 1 and day 5. You plan to stay in Hamburg for 6 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Athens, from Madrid to Seville, from Paris to Madrid, from Athens to Hamburg, from Athens to Madrid, from Paris to Seville, from Hamburg to Madrid, from Paris to Hamburg.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Hamburg.\n**Day 9-14:** Visit Hamburg for 6 days.\n**Day 14:** Fly from Hamburg to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Seville.\n**Day 16-22:** Visit Seville for 7 days.",
    "id": "trip_planning_example_423",
    "estimated_output_tokens": 1669,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 7 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Madrid, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Seville, Duration: 7 days.\n* City: Madrid, Duration: 3 days.\n* City: Hamburg, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 9).\n |- The departure day of Paris is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Paris to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Paris, Athens].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Madrid, Hamburg] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Athens to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Athens to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Paris, Athens, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Hamburg] and explore these options in order.\n       |- Try arranging to visit Seville from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Paris, Athens, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n         |- Check for direct flight from Seville to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Madrid to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Athens to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Paris, Athens, Hamburg].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Madrid] and explore these options in order.\n       |- Try arranging to visit Seville from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Hamburg to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Hamburg to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Paris, Athens, Hamburg, Madrid].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Madrid to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Paris, Athens, Hamburg, Madrid, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Hamburg.\n**Day 9-14:** Visit Hamburg for 6 days.\n**Day 14:** Fly from Hamburg to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Seville.\n**Day 16-22:** Visit Seville for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Zurich**Valencia**Seville**Rome",
    "ground_truth_durations": "3**4**6**4**2",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Rome"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Istanbul",
        "Rome"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Valencia",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 2 days. From day 14 to day 15, there is a annual show you want to attend in Rome. You would like to visit Seville for 4 days. You plan to stay in Valencia for 6 days. You would like to visit Zurich for 4 days. You want to spend 3 days in Istanbul. You want to meet a friend in Istanbul between day 1 and day 3.\n\nHere are the cities that have direct flights:\nZurich and Rome, Valencia and Rome, Zurich and Valencia, Istanbul and Rome, Istanbul and Valencia, Seville and Rome, Istanbul and Zurich, Valencia and Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 2 days. From day 14 to day 15, there is a annual show you want to attend in Rome. You would like to visit Seville for 4 days. You plan to stay in Valencia for 6 days. You would like to visit Zurich for 4 days. You want to spend 3 days in Istanbul. You want to meet a friend in Istanbul between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Zurich to Rome, from Valencia to Rome, from Zurich to Valencia, from Istanbul to Rome, from Istanbul to Valencia, from Seville to Rome, from Istanbul to Zurich, from Valencia to Seville.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Zurich.\n**Day 3-6:** Visit Zurich for 4 days.\n**Day 6:** Fly from Zurich to Valencia.\n**Day 6-11:** Visit Valencia for 6 days.\n**Day 11:** Fly from Valencia to Seville.\n**Day 11-14:** Visit Seville for 4 days.\n**Day 14:** Fly from Seville to Rome.\n**Day 14-15:** Visit Rome for 2 days.",
    "id": "trip_planning_example_424",
    "estimated_output_tokens": 1858,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Seville, Duration: 4 days.\n* City: Valencia, Duration: 6 days.\n* City: Zurich, Duration: 4 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 3.\n* City: Rome, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Valencia, Duration: 6 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 14 - 15).\n |- The departure day of Istanbul is Day 3. The arrival day of Rome is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Valencia, Zurich] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Istanbul to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 14 - 15).\n   |- The departure day of Valencia is Day 8. The arrival day of Rome is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Zurich] and explore these options in order.\n     |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 14 - 15).\n     |- The departure day of Seville is Day 11. The arrival day of Rome is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Istanbul, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Seville to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Valencia to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 14 - 15).\n   |- The departure day of Zurich is Day 6. The arrival day of Rome is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Valencia] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Zurich to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Zurich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 14 - 15).\n     |- The departure day of Valencia is Day 11. The arrival day of Rome is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Istanbul, Zurich, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 14 - 15).\n       |- The departure day of Seville is Day 14. The arrival day of Rome is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Istanbul, Zurich, Valencia, Seville].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Seville to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Zurich, Valencia, Seville, Rome].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Zurich.\n**Day 3-6:** Visit Zurich for 4 days.\n**Day 6:** Fly from Zurich to Valencia.\n**Day 6-11:** Visit Valencia for 6 days.\n**Day 11:** Fly from Valencia to Seville.\n**Day 11-14:** Visit Seville for 4 days.\n**Day 14:** Fly from Seville to Rome.\n**Day 14-15:** Visit Rome for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Brussels**Prague**Manchester**Venice",
    "ground_truth_durations": "6**6**7**7**2",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 11,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Venice"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Manchester",
        "Venice"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Brussels",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Brussels. You would like to visit Venice for 2 days. You want to spend 6 days in Lyon. You plan to visit relatives in Lyon between day 1 and day 6. You would like to visit Prague for 7 days. During day 11 and day 17, you have to attend a conference in Prague. You want to spend 7 days in Manchester.\n\nHere are the cities that have direct flights:\nLyon and Venice, Brussels and Venice, Lyon and Prague, Prague and Manchester, Manchester and Venice, Lyon and Brussels, Brussels and Prague, Brussels and Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Brussels. You would like to visit Venice for 2 days. You want to spend 6 days in Lyon. You plan to visit relatives in Lyon between day 1 and day 6. You would like to visit Prague for 7 days. During day 11 and day 17, you have to attend a conference in Prague. You want to spend 7 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Lyon to Venice, from Brussels to Venice, from Lyon to Prague, from Prague to Manchester, from Manchester to Venice, from Lyon to Brussels, from Brussels to Prague, from Brussels to Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-11:** Visit Brussels for 6 days.\n**Day 11:** Fly from Brussels to Prague.\n**Day 11-17:** Visit Prague for 7 days.\n**Day 17:** Fly from Prague to Manchester.\n**Day 17-23:** Visit Manchester for 7 days.\n**Day 23:** Fly from Manchester to Venice.\n**Day 23-24:** Visit Venice for 2 days.",
    "id": "trip_planning_example_425",
    "estimated_output_tokens": 1211,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 6 days.\n* City: Venice, Duration: 2 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Prague, Duration: 7 days, Fixed Schedule: Day 11 - 17.\n* City: Manchester, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 6.\n* City: Prague, Fixed Schedule: Day 11 - 17.\n\nCities needing arrangement:\n* City: Brussels, Duration: 6 days.\n* City: Venice, Duration: 2 days.\n* City: Manchester, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 11 - 17).\n |- The departure day of Lyon is Day 6. The arrival day of Prague is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Venice, Manchester] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Lyon to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 11 - 17).\n   |- The departure day of Brussels is Day 11. The arrival day of Prague is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Lyon, Brussels].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Brussels to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Lyon, Brussels, Prague].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Manchester] and explore these options in order.\n       |- Try arranging to visit Venice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n       |- Check for direct flight from Prague to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n       |- Check for direct flight from Prague to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 23. Current plan: [Lyon, Brussels, Prague, Manchester].\n        |- Check whether the city with an arrival day of Day 23 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n         |- Check for direct flight from Manchester to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Lyon, Brussels, Prague, Manchester, Venice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Lyon and visit Lyon for 6 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-11:** Visit Brussels for 6 days.\n**Day 11:** Fly from Brussels to Prague.\n**Day 11-17:** Visit Prague for 7 days.\n**Day 17:** Fly from Prague to Manchester.\n**Day 17-23:** Visit Manchester for 7 days.\n**Day 23:** Fly from Manchester to Venice.\n**Day 23-24:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Barcelona**Milan**Valencia**Stuttgart",
    "ground_truth_durations": "7**6**3**4**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 17,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Milan",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. During day 14 and day 17, you have to attend a conference in Valencia. You would like to visit Stuttgart for 7 days. You plan to visit relatives in Stuttgart between day 17 and day 23. You plan to stay in Tallinn for 7 days. You plan to stay in Milan for 3 days. You would like to visit Barcelona for 6 days.\n\nHere are the cities that have direct flights:\nTallinn and Barcelona, Barcelona and Milan, Barcelona and Stuttgart, Barcelona and Valencia, Milan and Stuttgart, Valencia and Stuttgart, Milan and Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. During day 14 and day 17, you have to attend a conference in Valencia. You would like to visit Stuttgart for 7 days. You plan to visit relatives in Stuttgart between day 17 and day 23. You plan to stay in Tallinn for 7 days. You plan to stay in Milan for 3 days. You would like to visit Barcelona for 6 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Barcelona, from Barcelona to Milan, from Barcelona to Stuttgart, from Barcelona to Valencia, from Milan to Stuttgart, from Valencia to Stuttgart, from Milan to Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Tallinn and visit Tallinn for 7 days.\n**Day 7:** Fly from Tallinn to Barcelona.\n**Day 7-12:** Visit Barcelona for 6 days.\n**Day 12:** Fly from Barcelona to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Valencia.\n**Day 14-17:** Visit Valencia for 4 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-23:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_426",
    "estimated_output_tokens": 1299,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 17 - 23.\n* City: Tallinn, Duration: 7 days.\n* City: Milan, Duration: 3 days.\n* City: Barcelona, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 14 - 17.\n* City: Stuttgart, Fixed Schedule: Day 17 - 23.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 7 days.\n* City: Milan, Duration: 3 days.\n* City: Barcelona, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Milan, Barcelona] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 14 - 17).\n |- The departure day of Tallinn is Day 7. The arrival day of Valencia is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Barcelona] and explore these options in order.\n   |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Tallinn to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 14 - 17).\n   |- The departure day of Barcelona is Day 12. The arrival day of Valencia is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Tallinn, Barcelona].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Barcelona to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 17).\n     |- The departure day of Milan is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Tallinn, Barcelona, Milan].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Milan to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 17 - 23).\n       |- The departure day of Valencia is Day 17. The arrival day of Stuttgart is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Tallinn, Barcelona, Milan, Valencia].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Tallinn, Barcelona, Milan, Valencia, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Tallinn and visit Tallinn for 7 days.\n**Day 7:** Fly from Tallinn to Barcelona.\n**Day 7-12:** Visit Barcelona for 6 days.\n**Day 12:** Fly from Barcelona to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Valencia.\n**Day 14-17:** Visit Valencia for 4 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-23:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Amsterdam**Krakow**Stuttgart**Split",
    "ground_truth_durations": "6**3**5**4**3",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Nice",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 3 days. You plan to stay in Nice for 6 days. You want to spend 4 days in Stuttgart. From day 12 to day 15, there is a annual show you want to attend in Stuttgart. You plan to stay in Split for 3 days. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Split, Amsterdam and Stuttgart, Amsterdam and Split, Krakow and Stuttgart, Amsterdam and Krakow, Stuttgart and Split, Nice and Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 3 days. You plan to stay in Nice for 6 days. You want to spend 4 days in Stuttgart. From day 12 to day 15, there is a annual show you want to attend in Stuttgart. You plan to stay in Split for 3 days. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Amsterdam to Stuttgart, from Amsterdam to Split, from Krakow to Stuttgart, from Amsterdam to Krakow, from Stuttgart to Split, from Nice to Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Amsterdam.\n**Day 6-8:** Visit Amsterdam for 3 days.\n**Day 8:** Fly from Amsterdam to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Stuttgart.\n**Day 12-15:** Visit Stuttgart for 4 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-17:** Visit Split for 3 days.",
    "id": "trip_planning_example_427",
    "estimated_output_tokens": 1714,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days.\n* City: Nice, Duration: 6 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Split, Duration: 3 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 12.\n* City: Stuttgart, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Nice, Duration: 6 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Nice, Split] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 12).\n |- The departure day of Amsterdam is Day 3. The arrival day of Krakow is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Split] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Amsterdam to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Amsterdam to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 8 - 12).\n   |- The departure day of Split is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Split].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Split to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 12).\n |- The departure day of Nice is Day 6. The arrival day of Krakow is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Nice to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 8 - 12).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 12 - 15).\n     |- The departure day of Krakow is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Nice, Amsterdam, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Krakow to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Nice, Amsterdam, Krakow, Stuttgart].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Nice, Amsterdam, Krakow, Stuttgart, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to Amsterdam.\n**Day 6-8:** Visit Amsterdam for 3 days.\n**Day 8:** Fly from Amsterdam to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Stuttgart.\n**Day 12-15:** Visit Stuttgart for 4 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-17:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Nice**Athens**Split**Krakow",
    "ground_truth_durations": "5**4**4**5**4",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Split"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Split",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to meet your friends at Nice between day 5 and day 8 to tour together. You want to spend 5 days in Brussels. You want to spend 5 days in Split. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 15 and day 18. You would like to visit Athens for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Split, Brussels and Krakow, Brussels and Athens, Nice and Athens, Brussels and Nice, Split and Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to meet your friends at Nice between day 5 and day 8 to tour together. You want to spend 5 days in Brussels. You want to spend 5 days in Split. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 15 and day 18. You would like to visit Athens for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Split, from Brussels to Krakow, from Brussels to Athens, from Nice to Athens, from Brussels to Nice, from Split to Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Nice.\n**Day 5-8:** Visit Nice for 4 days.\n**Day 8:** Fly from Nice to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_428",
    "estimated_output_tokens": 1295,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Brussels, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Athens, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Brussels, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Split, Athens] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 5 - 8).\n |- The departure day of Brussels is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Brussels to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 15 - 18).\n   |- The departure day of Nice is Day 8. The arrival day of Krakow is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Athens] and explore these options in order.\n     |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Nice to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 15 - 18).\n     |- The departure day of Athens is Day 11. The arrival day of Krakow is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Nice, Athens].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Athens to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 15 - 18).\n       |- The departure day of Split is Day 15. The arrival day of Krakow is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Brussels, Nice, Athens, Split].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Split to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Brussels, Nice, Athens, Split, Krakow].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Nice.\n**Day 5-8:** Visit Nice for 4 days.\n**Day 8:** Fly from Nice to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Madrid**Santorini**Zurich**Riga",
    "ground_truth_durations": "3**5**6**3**3",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Riga"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Madrid. From day 3 to day 7, there is a annual show you want to attend in Madrid. You plan to stay in Zurich for 3 days. You would like to visit Frankfurt for 3 days. You would like to visit Santorini for 6 days. You are going to attend a wedding in Santorini between day 7 and day 12. You want to spend 3 days in Riga.\n\nHere are the cities that have direct flights:\nZurich and Riga, Frankfurt and Riga, Santorini and Zurich, Madrid and Zurich, Frankfurt and Zurich, Madrid and Santorini, Frankfurt and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Madrid. From day 3 to day 7, there is a annual show you want to attend in Madrid. You plan to stay in Zurich for 3 days. You would like to visit Frankfurt for 3 days. You would like to visit Santorini for 6 days. You are going to attend a wedding in Santorini between day 7 and day 12. You want to spend 3 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Zurich to Riga, from Frankfurt to Riga, from Santorini to Zurich, from Madrid to Zurich, from Frankfurt to Zurich, from Madrid to Santorini, from Frankfurt to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Santorini.\n**Day 7-12:** Visit Santorini for 6 days.\n**Day 12:** Fly from Santorini to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Riga.\n**Day 14-16:** Visit Riga for 3 days.",
    "id": "trip_planning_example_429",
    "estimated_output_tokens": 1448,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Zurich, Duration: 3 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 3 - 7.\n* City: Santorini, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Frankfurt, Riga] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 7).\n |- The departure day of Zurich is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Zurich to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 7).\n |- The departure day of Frankfurt is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 7 - 12).\n   |- The departure day of Madrid is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Madrid to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Frankfurt, Madrid, Santorini].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Riga] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Santorini to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Frankfurt, Madrid, Santorini, Zurich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Zurich to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Madrid, Santorini, Zurich, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Santorini.\n**Day 7-12:** Visit Santorini for 6 days.\n**Day 12:** Fly from Santorini to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Paris**Lyon**Rome**Santorini",
    "ground_truth_durations": "6**3**6**6**5",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Rome"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Paris",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Lyon. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 18 and day 22. You plan to stay in Porto for 6 days. You would like to visit Paris for 3 days. From day 6 to day 8, there is a annual show you want to attend in Paris. You want to spend 6 days in Rome.\n\nHere are the cities that have direct flights:\nLyon and Rome, Porto and Paris, Paris and Lyon, Porto and Lyon, Rome and Santorini, Paris and Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Lyon. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 18 and day 22. You plan to stay in Porto for 6 days. You would like to visit Paris for 3 days. From day 6 to day 8, there is a annual show you want to attend in Paris. You want to spend 6 days in Rome.\n\nHere are the cities that have direct flights:\nfrom Lyon to Rome, from Porto to Paris, from Paris to Lyon, from Porto to Lyon, from Rome to Santorini, from Paris to Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Paris.\n**Day 6-8:** Visit Paris for 3 days.\n**Day 8:** Fly from Paris to Lyon.\n**Day 8-13:** Visit Lyon for 6 days.\n**Day 13:** Fly from Lyon to Rome.\n**Day 13-18:** Visit Rome for 6 days.\n**Day 18:** Fly from Rome to Santorini.\n**Day 18-22:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_430",
    "estimated_output_tokens": 1508,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Porto, Duration: 6 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Rome, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 6 - 8.\n* City: Santorini, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Lyon, Duration: 6 days.\n* City: Porto, Duration: 6 days.\n* City: Rome, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Porto, Rome] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 6 - 8).\n |- The departure day of Lyon is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Lyon to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 6 - 8).\n |- The departure day of Porto is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Porto to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 18 - 22).\n   |- The departure day of Paris is Day 8. The arrival day of Santorini is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Rome] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Paris to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 18 - 22).\n     |- The departure day of Lyon is Day 13. The arrival day of Santorini is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Porto, Paris, Lyon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n       |- Try arranging to visit Rome from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 18 - 22).\n       |- The departure day of Rome is Day 18. The arrival day of Santorini is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Porto, Paris, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- Yes. The city with an arrival day of Day 18 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n         |- Check for direct flight from Rome to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Porto, Paris, Lyon, Rome, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Paris.\n**Day 6-8:** Visit Paris for 3 days.\n**Day 8:** Fly from Paris to Lyon.\n**Day 8-13:** Visit Lyon for 6 days.\n**Day 13:** Fly from Lyon to Rome.\n**Day 13-18:** Visit Rome for 6 days.\n**Day 18:** Fly from Rome to Santorini.\n**Day 18-22:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Riga**Tallinn**Zurich**Dubrovnik",
    "ground_truth_durations": "2**2**5**3**5",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Nice",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. During day 1 and day 2, you have to attend a conference in Nice. You want to spend 5 days in Tallinn. You plan to stay in Zurich for 3 days. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nRiga and Zurich, Zurich and Dubrovnik, Nice and Zurich, Tallinn and Zurich, from Riga to Tallinn, Nice and Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. During day 1 and day 2, you have to attend a conference in Nice. You want to spend 5 days in Tallinn. You plan to stay in Zurich for 3 days. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Riga to Zurich, from Zurich to Dubrovnik, from Nice to Zurich, from Tallinn to Zurich, from Riga to Tallinn, from Nice to Riga.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Riga.\n**Day 2-3:** Visit Riga for 2 days.\n**Day 3:** Fly from Riga to Tallinn.\n**Day 3-7:** Visit Tallinn for 5 days.\n**Day 7:** Fly from Tallinn to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_431",
    "estimated_output_tokens": 1783,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Dubrovnik, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Nice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Nice, Zurich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Zurich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dubrovnik to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Zurich to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Nice to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Nice, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Nice, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Riga, Tallinn, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Riga, Tallinn, Zurich, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Riga.\n**Day 2-3:** Visit Riga for 2 days.\n**Day 3:** Fly from Riga to Tallinn.\n**Day 3-7:** Visit Tallinn for 5 days.\n**Day 7:** Fly from Tallinn to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Zurich**Venice**Stuttgart**Stockholm",
    "ground_truth_durations": "6**7**2**4**2",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Zurich",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 7 days. You would like to visit Stuttgart for 4 days. You want to spend 6 days in Geneva. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 16 and day 17. You plan to stay in Venice for 2 days. You are going to attend a wedding in Venice between day 12 and day 13.\n\nHere are the cities that have direct flights:\nVenice and Stuttgart, Zurich and Venice, Geneva and Zurich, Geneva and Stockholm, Stuttgart and Stockholm, Zurich and Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 7 days. You would like to visit Stuttgart for 4 days. You want to spend 6 days in Geneva. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 16 and day 17. You plan to stay in Venice for 2 days. You are going to attend a wedding in Venice between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Venice to Stuttgart, from Zurich to Venice, from Geneva to Zurich, from Geneva to Stockholm, from Stuttgart to Stockholm, from Zurich to Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Zurich.\n**Day 6-12:** Visit Zurich for 7 days.\n**Day 12:** Fly from Zurich to Venice.\n**Day 12-13:** Visit Venice for 2 days.\n**Day 13:** Fly from Venice to Stuttgart.\n**Day 13-16:** Visit Stuttgart for 4 days.\n**Day 16:** Fly from Stuttgart to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.",
    "id": "trip_planning_example_432",
    "estimated_output_tokens": 1829,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Geneva, Duration: 6 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 12 - 13.\n* City: Stockholm, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Zurich, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Stuttgart, Geneva] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 12 - 13).\n |- The departure day of Zurich is Day 7. The arrival day of Venice is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Geneva] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Zurich to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Zurich to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 12 - 13).\n |- The departure day of Stuttgart is Day 4. The arrival day of Venice is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Geneva] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Stuttgart to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Stuttgart to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 12 - 13).\n |- The departure day of Geneva is Day 6. The arrival day of Venice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Geneva to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 12 - 13).\n   |- The departure day of Zurich is Day 12. The arrival day of Venice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Geneva, Zurich].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Zurich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 16 - 17).\n     |- The departure day of Venice is Day 13. The arrival day of Stockholm is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Geneva, Zurich, Venice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 16 - 17).\n       |- The departure day of Stuttgart is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Geneva, Zurich, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Stuttgart to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Geneva, Zurich, Venice, Stuttgart, Stockholm].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Zurich.\n**Day 6-12:** Visit Zurich for 7 days.\n**Day 12:** Fly from Zurich to Venice.\n**Day 12-13:** Visit Venice for 2 days.\n**Day 13:** Fly from Venice to Stuttgart.\n**Day 13-16:** Visit Stuttgart for 4 days.\n**Day 16:** Fly from Stuttgart to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lisbon**Reykjavik**Helsinki**Venice",
    "ground_truth_durations": "7**7**4**3**5",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 18,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Bucharest",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Bucharest. You want to spend 7 days in Lisbon. You want to spend 4 days in Reykjavik. You want to spend 3 days in Helsinki. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 18 and day 22 to tour together.\n\nHere are the cities that have direct flights:\nLisbon and Helsinki, Lisbon and Venice, Lisbon and Reykjavik, Reykjavik and Helsinki, Helsinki and Venice, Bucharest and Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Bucharest. You want to spend 7 days in Lisbon. You want to spend 4 days in Reykjavik. You want to spend 3 days in Helsinki. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 18 and day 22 to tour together.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Helsinki, from Lisbon to Venice, from Lisbon to Reykjavik, from Reykjavik to Helsinki, from Helsinki to Venice, from Bucharest to Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Lisbon.\n**Day 7-13:** Visit Lisbon for 7 days.\n**Day 13:** Fly from Lisbon to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Helsinki.\n**Day 16-18:** Visit Helsinki for 3 days.\n**Day 18:** Fly from Helsinki to Venice.\n**Day 18-22:** Visit Venice for 5 days.",
    "id": "trip_planning_example_433",
    "estimated_output_tokens": 1292,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 7 days.\n* City: Lisbon, Duration: 7 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 7 days.\n* City: Lisbon, Duration: 7 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Reykjavik, Helsinki] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 18 - 22).\n |- The departure day of Bucharest is Day 7. The arrival day of Venice is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Reykjavik, Helsinki] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Bucharest to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 18 - 22).\n   |- The departure day of Lisbon is Day 13. The arrival day of Venice is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Bucharest, Lisbon].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 18 - 22).\n     |- The departure day of Reykjavik is Day 16. The arrival day of Venice is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Lisbon, Reykjavik].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n       |- Check for direct flight from Reykjavik to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 18 - 22).\n       |- The departure day of Helsinki is Day 18. The arrival day of Venice is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Bucharest, Lisbon, Reykjavik, Helsinki].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- Yes. The city with an arrival day of Day 18 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n         |- Check for direct flight from Helsinki to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Bucharest, Lisbon, Reykjavik, Helsinki, Venice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Lisbon.\n**Day 7-13:** Visit Lisbon for 7 days.\n**Day 13:** Fly from Lisbon to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Helsinki.\n**Day 16-18:** Visit Helsinki for 3 days.\n**Day 18:** Fly from Helsinki to Venice.\n**Day 18-22:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Dubrovnik**Madrid**London**Stuttgart",
    "ground_truth_durations": "5**5**3**2**7",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Madrid",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 5 and day 9 to tour together. You would like to visit Rome for 5 days. You plan to stay in London for 2 days. You would like to visit Stuttgart for 7 days. You want to spend 3 days in Madrid. You have to attend a workshop in Madrid between day 9 and day 11.\n\nHere are the cities that have direct flights:\nRome and Stuttgart, Rome and Dubrovnik, Dubrovnik and Madrid, Rome and Madrid, Rome and London, London and Stuttgart, Madrid and London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 5 and day 9 to tour together. You would like to visit Rome for 5 days. You plan to stay in London for 2 days. You would like to visit Stuttgart for 7 days. You want to spend 3 days in Madrid. You have to attend a workshop in Madrid between day 9 and day 11.\n\nHere are the cities that have direct flights:\nfrom Rome to Stuttgart, from Rome to Dubrovnik, from Dubrovnik to Madrid, from Rome to Madrid, from Rome to London, from London to Stuttgart, from Madrid to London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Stuttgart.\n**Day 12-18:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_434",
    "estimated_output_tokens": 1196,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Rome, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 5 - 9.\n* City: Madrid, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Stuttgart, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, London, Stuttgart] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 9).\n |- The departure day of Rome is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Rome to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 9 - 11).\n   |- The departure day of Dubrovnik is Day 9. The arrival day of Madrid is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Rome, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Dubrovnik to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Dubrovnik, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Stuttgart] and explore these options in order.\n       |- Try arranging to visit London from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Madrid to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Dubrovnik, Madrid, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n         |- Check for direct flight from London to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Rome, Dubrovnik, Madrid, London, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Stuttgart.\n**Day 12-18:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Athens**Bucharest**Santorini**Milan",
    "ground_truth_durations": "5**3**6**3**6",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 7,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Milan"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Athens",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 6 days. You would like to visit Munich for 5 days. From day 1 to day 5, there is a annual show you want to attend in Munich. You plan to stay in Athens for 3 days. You plan to stay in Santorini for 3 days. You plan to stay in Bucharest for 6 days. You plan to visit relatives in Bucharest between day 7 and day 12.\n\nHere are the cities that have direct flights:\nMunich and Milan, Santorini and Milan, Athens and Santorini, Munich and Athens, Bucharest and Santorini, Athens and Bucharest, Munich and Bucharest, Athens and Milan.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 6 days. You would like to visit Munich for 5 days. From day 1 to day 5, there is a annual show you want to attend in Munich. You plan to stay in Athens for 3 days. You plan to stay in Santorini for 3 days. You plan to stay in Bucharest for 6 days. You plan to visit relatives in Bucharest between day 7 and day 12.\n\nHere are the cities that have direct flights:\nfrom Munich to Milan, from Santorini to Milan, from Athens to Santorini, from Munich to Athens, from Bucharest to Santorini, from Athens to Bucharest, from Munich to Bucharest, from Athens to Milan.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Athens.\n**Day 5-7:** Visit Athens for 3 days.\n**Day 7:** Fly from Athens to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Milan.\n**Day 14-19:** Visit Milan for 6 days.",
    "id": "trip_planning_example_435",
    "estimated_output_tokens": 1371,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 6 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Athens, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Milan, Duration: 6 days.\n* City: Athens, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 12).\n |- The departure day of Munich is Day 5. The arrival day of Bucharest is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Athens, Santorini] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Munich to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 12).\n   |- The departure day of Milan is Day 10. The arrival day of Bucharest is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Munich to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 12).\n   |- The departure day of Athens is Day 7. The arrival day of Bucharest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Munich, Athens, Bucharest].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Santorini] and explore these options in order.\n       |- Try arranging to visit Milan from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Bucharest to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Munich, Athens, Bucharest, Santorini].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Santorini to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Munich, Athens, Bucharest, Santorini, Milan].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Athens.\n**Day 5-7:** Visit Athens for 3 days.\n**Day 7:** Fly from Athens to Bucharest.\n**Day 7-12:** Visit Bucharest for 6 days.\n**Day 12:** Fly from Bucharest to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Milan.\n**Day 14-19:** Visit Milan for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Zurich**Dubrovnik**Amsterdam**Stuttgart",
    "ground_truth_durations": "4**4**4**3**5",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Frankfurt",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. During day 7 and day 10, you have to attend a conference in Dubrovnik. You want to spend 3 days in Amsterdam. You plan to stay in Zurich for 4 days. You want to spend 5 days in Stuttgart. You plan to stay in Frankfurt for 4 days. You want to meet a friend in Frankfurt between day 1 and day 4.\n\nHere are the cities that have direct flights:\nFrankfurt and Stuttgart, Frankfurt and Dubrovnik, Frankfurt and Zurich, Amsterdam and Stuttgart, Zurich and Dubrovnik, Dubrovnik and Amsterdam, Frankfurt and Amsterdam, Zurich and Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. During day 7 and day 10, you have to attend a conference in Dubrovnik. You want to spend 3 days in Amsterdam. You plan to stay in Zurich for 4 days. You want to spend 5 days in Stuttgart. You plan to stay in Frankfurt for 4 days. You want to meet a friend in Frankfurt between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Stuttgart, from Frankfurt to Dubrovnik, from Frankfurt to Zurich, from Amsterdam to Stuttgart, from Zurich to Dubrovnik, from Dubrovnik to Amsterdam, from Frankfurt to Amsterdam, from Zurich to Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Zurich.\n**Day 4-7:** Visit Zurich for 4 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_436",
    "estimated_output_tokens": 1572,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Amsterdam, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 7 - 10).\n |- The departure day of Frankfurt is Day 4. The arrival day of Dubrovnik is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Zurich, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Dubrovnik is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Amsterdam to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 7 - 10).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Dubrovnik is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Zurich is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Zurich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Frankfurt, Zurich, Dubrovnik, Amsterdam].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Amsterdam to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Zurich, Dubrovnik, Amsterdam, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Zurich.\n**Day 4-7:** Visit Zurich for 4 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Vienna**Valencia**Krakow**Vilnius",
    "ground_truth_durations": "4**7**7**2**4",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Valencia",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You would like to visit Vilnius for 4 days. You would like to visit Vienna for 7 days. You plan to stay in Valencia for 7 days. You are going to attend a wedding in Valencia between day 10 and day 16. You would like to visit Florence for 4 days.\n\nHere are the cities that have direct flights:\nVienna and Krakow, Vienna and Vilnius, from Krakow to Vilnius, Florence and Vienna, Vienna and Valencia, Valencia and Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Krakow. You would like to visit Vilnius for 4 days. You would like to visit Vienna for 7 days. You plan to stay in Valencia for 7 days. You are going to attend a wedding in Valencia between day 10 and day 16. You would like to visit Florence for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Krakow, from Vienna to Vilnius, from Krakow to Vilnius, from Florence to Vienna, from Vienna to Valencia, from Valencia to Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Vienna.\n**Day 4-10:** Visit Vienna for 7 days.\n**Day 10:** Fly from Vienna to Valencia.\n**Day 10-16:** Visit Valencia for 7 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-17:** Visit Krakow for 2 days.\n**Day 17:** Fly from Krakow to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_437",
    "estimated_output_tokens": 3162,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Vienna, Duration: 7 days.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Florence, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Vienna, Duration: 7 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Vienna, Florence] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 16).\n |- The departure day of Krakow is Day 2. The arrival day of Valencia is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna, Florence] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 10 - 16).\n   |- The departure day of Vilnius is Day 5. The arrival day of Valencia is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Florence] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Vilnius to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Krakow to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 16).\n |- The departure day of Vilnius is Day 4. The arrival day of Valencia is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vienna, Florence] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 16).\n |- The departure day of Vienna is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Florence] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vienna to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 16).\n   |- The departure day of Krakow is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Florence] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 16).\n     |- The departure day of Vilnius is Day 11. The arrival day of Valencia is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Krakow to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vienna to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 16).\n   |- The departure day of Vilnius is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Vienna, Vilnius].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Vilnius to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vienna to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 16).\n |- The departure day of Florence is Day 4. The arrival day of Valencia is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Vienna] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Florence to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 16).\n   |- The departure day of Vienna is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Florence, Vienna].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Vienna to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Florence, Vienna, Valencia].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n       |- Check for direct flight from Valencia to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Florence, Vienna, Valencia, Krakow].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Florence, Vienna, Valencia, Krakow, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Vienna.\n**Day 4-10:** Visit Vienna for 7 days.\n**Day 10:** Fly from Vienna to Valencia.\n**Day 10-16:** Visit Valencia for 7 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-17:** Visit Krakow for 2 days.\n**Day 17:** Fly from Krakow to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Oslo**Madrid**Valencia**Amsterdam",
    "ground_truth_durations": "2**4**6**2**4",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 6 days. You want to spend 2 days in Valencia. You would like to visit Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 11 and day 14. You would like to visit Oslo for 4 days. You plan to stay in Dubrovnik for 2 days. You plan to visit relatives in Dubrovnik between day 1 and day 2.\n\nHere are the cities that have direct flights:\nMadrid and Valencia, Valencia and Amsterdam, Oslo and Amsterdam, Dubrovnik and Oslo, Madrid and Amsterdam, Dubrovnik and Madrid, Oslo and Madrid, Dubrovnik and Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 6 days. You want to spend 2 days in Valencia. You would like to visit Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 11 and day 14. You would like to visit Oslo for 4 days. You plan to stay in Dubrovnik for 2 days. You plan to visit relatives in Dubrovnik between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Madrid to Valencia, from Valencia to Amsterdam, from Oslo to Amsterdam, from Dubrovnik to Oslo, from Madrid to Amsterdam, from Dubrovnik to Madrid, from Oslo to Madrid, from Dubrovnik to Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Oslo.\n**Day 2-5:** Visit Oslo for 4 days.\n**Day 5:** Fly from Oslo to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Amsterdam.\n**Day 11-14:** Visit Amsterdam for 4 days.",
    "id": "trip_planning_example_438",
    "estimated_output_tokens": 1822,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 6 days.\n* City: Valencia, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Oslo, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Madrid, Duration: 6 days.\n* City: Valencia, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 11 - 14).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Amsterdam is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Valencia, Oslo] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Dubrovnik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 11 - 14).\n   |- The departure day of Madrid is Day 7. The arrival day of Amsterdam is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Oslo] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Madrid to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 11 - 14).\n     |- The departure day of Valencia is Day 8. The arrival day of Amsterdam is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Madrid, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Valencia to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Madrid to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 11 - 14).\n   |- The departure day of Oslo is Day 5. The arrival day of Amsterdam is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Valencia] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Oslo to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 11 - 14).\n     |- The departure day of Madrid is Day 10. The arrival day of Amsterdam is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Oslo, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Madrid to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 11 - 14).\n       |- The departure day of Valencia is Day 11. The arrival day of Amsterdam is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Oslo, Madrid, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Valencia to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Oslo, Madrid, Valencia, Amsterdam].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Oslo.\n**Day 2-5:** Visit Oslo for 4 days.\n**Day 5:** Fly from Oslo to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Amsterdam.\n**Day 11-14:** Visit Amsterdam for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Stuttgart**Istanbul**Zurich**Santorini",
    "ground_truth_durations": "5**4**3**7**2",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Porto",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You have to attend a workshop in Istanbul between day 8 and day 10. You want to spend 5 days in Porto. You plan to stay in Santorini for 2 days. You would like to visit Stuttgart for 4 days. During day 5 and day 8, you have to attend a conference in Stuttgart. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nPorto and Zurich, Stuttgart and Istanbul, Istanbul and Zurich, Zurich and Santorini, Porto and Stuttgart, Porto and Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You have to attend a workshop in Istanbul between day 8 and day 10. You want to spend 5 days in Porto. You plan to stay in Santorini for 2 days. You would like to visit Stuttgart for 4 days. During day 5 and day 8, you have to attend a conference in Stuttgart. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Zurich, from Stuttgart to Istanbul, from Istanbul to Zurich, from Zurich to Santorini, from Porto to Stuttgart, from Porto to Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Zurich.\n**Day 10-16:** Visit Zurich for 7 days.\n**Day 16:** Fly from Zurich to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_439",
    "estimated_output_tokens": 1233,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Porto, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Zurich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 8.\n* City: Istanbul, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Santorini, Zurich] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 8).\n |- The departure day of Porto is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 8 - 10).\n   |- The departure day of Stuttgart is Day 8. The arrival day of Istanbul is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stuttgart to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Stuttgart, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Zurich] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Istanbul to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Istanbul to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Porto, Stuttgart, Istanbul, Zurich].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Zurich to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Porto, Stuttgart, Istanbul, Zurich, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Zurich.\n**Day 10-16:** Visit Zurich for 7 days.\n**Day 16:** Fly from Zurich to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Split**Vilnius**Helsinki**Reykjavik",
    "ground_truth_durations": "6**2**3**2**3",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Helsinki"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Split",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Split. You want to spend 2 days in Helsinki. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 10 and day 12. You want to spend 3 days in Vilnius. You plan to visit relatives in Vilnius between day 7 and day 9. You would like to visit Geneva for 6 days.\n\nHere are the cities that have direct flights:\nSplit and Helsinki, Geneva and Split, Geneva and Helsinki, Helsinki and Reykjavik, Vilnius and Helsinki, Split and Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Split. You want to spend 2 days in Helsinki. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 10 and day 12. You want to spend 3 days in Vilnius. You plan to visit relatives in Vilnius between day 7 and day 9. You would like to visit Geneva for 6 days.\n\nHere are the cities that have direct flights:\nfrom Split to Helsinki, from Geneva to Split, from Geneva to Helsinki, from Helsinki to Reykjavik, from Vilnius to Helsinki, from Split to Vilnius.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Split.\n**Day 6-7:** Visit Split for 2 days.\n**Day 7:** Fly from Split to Vilnius.\n**Day 7-9:** Visit Vilnius for 3 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_440",
    "estimated_output_tokens": 2108,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Geneva, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Helsinki, Geneva] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 7 - 9).\n |- The departure day of Split is Day 2. The arrival day of Vilnius is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 7 - 9).\n   |- The departure day of Helsinki is Day 3. The arrival day of Vilnius is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Helsinki to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Split to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 7 - 9).\n |- The departure day of Helsinki is Day 2. The arrival day of Vilnius is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Geneva] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Helsinki to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 7 - 9).\n |- The departure day of Geneva is Day 6. The arrival day of Vilnius is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Helsinki] and explore these options in order.\n   |- Try arranging to visit Split from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Geneva to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 7 - 9).\n   |- The departure day of Split is Day 7. The arrival day of Vilnius is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Split to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 12).\n     |- The departure day of Vilnius is Day 9. The arrival day of Reykjavik is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Split, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 10 - 12).\n       |- The departure day of Helsinki is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Split, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Geneva, Split, Vilnius, Helsinki, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Geneva and visit Geneva for 6 days.\n**Day 6:** Fly from Geneva to Split.\n**Day 6-7:** Visit Split for 2 days.\n**Day 7:** Fly from Split to Vilnius.\n**Day 7-9:** Visit Vilnius for 3 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Madrid**Valencia**Krakow**Warsaw",
    "ground_truth_durations": "7**5**6**7**4",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 22,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Mykonos",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You would like to visit Madrid for 5 days. You plan to stay in Krakow for 7 days. You want to spend 7 days in Mykonos. You plan to visit relatives in Mykonos between day 1 and day 7. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 22 and day 25.\n\nHere are the cities that have direct flights:\nKrakow and Warsaw, Madrid and Valencia, Valencia and Warsaw, Madrid and Warsaw, Valencia and Krakow, Mykonos and Madrid.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You would like to visit Madrid for 5 days. You plan to stay in Krakow for 7 days. You want to spend 7 days in Mykonos. You plan to visit relatives in Mykonos between day 1 and day 7. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 22 and day 25.\n\nHere are the cities that have direct flights:\nfrom Krakow to Warsaw, from Madrid to Valencia, from Valencia to Warsaw, from Madrid to Warsaw, from Valencia to Krakow, from Mykonos to Madrid.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-7:** Arriving in Mykonos and visit Mykonos for 7 days.\n**Day 7:** Fly from Mykonos to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-22:** Visit Krakow for 7 days.\n**Day 22:** Fly from Krakow to Warsaw.\n**Day 22-25:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_441",
    "estimated_output_tokens": 1324,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 6 days.\n* City: Madrid, Duration: 5 days.\n* City: Krakow, Duration: 7 days.\n* City: Mykonos, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 7.\n* City: Warsaw, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Valencia, Duration: 6 days.\n* City: Madrid, Duration: 5 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 22 - 25).\n |- The departure day of Mykonos is Day 7. The arrival day of Warsaw is Day 22. Day 7 is not later than (<=) Day 22. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Madrid, Krakow] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Mykonos to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Mykonos to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 22 - 25).\n   |- The departure day of Madrid is Day 11. The arrival day of Warsaw is Day 22. Day 11 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Mykonos, Madrid].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Madrid to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 22 - 25).\n     |- The departure day of Valencia is Day 16. The arrival day of Warsaw is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Mykonos, Madrid, Valencia].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n       |- Check for direct flight from Valencia to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 22 - 25).\n       |- The departure day of Krakow is Day 22. The arrival day of Warsaw is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Mykonos, Madrid, Valencia, Krakow].\n        |- Check whether the city with an arrival day of Day 22 - is fixed.\n        |- Yes. The city with an arrival day of Day 22 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n         |- Check for direct flight from Krakow to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Mykonos, Madrid, Valencia, Krakow, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Mykonos and visit Mykonos for 7 days.\n**Day 7:** Fly from Mykonos to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-22:** Visit Krakow for 7 days.\n**Day 22:** Fly from Krakow to Warsaw.\n**Day 22-25:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Bucharest**Riga**Tallinn",
    "ground_truth_durations": "5**7**5**3**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Riga",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You would like to visit Hamburg for 7 days. You want to spend 5 days in Bucharest. You would like to visit Riga for 3 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nSalzburg and Hamburg, from Riga to Tallinn, Hamburg and Bucharest, Bucharest and Riga, from Riga to Hamburg.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You would like to visit Hamburg for 7 days. You want to spend 5 days in Bucharest. You would like to visit Riga for 3 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Hamburg, from Riga to Tallinn, from Hamburg to Bucharest, from Bucharest to Riga, from Riga to Hamburg.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-11:** Visit Hamburg for 7 days.\n**Day 11:** Fly from Hamburg to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Tallinn.\n**Day 17-21:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_442",
    "estimated_output_tokens": 1128,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 5 days.\n* City: Hamburg, Duration: 7 days.\n* City: Bucharest, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Hamburg, Duration: 7 days.\n* City: Bucharest, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Hamburg, Bucharest, Riga, Tallinn] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest, Riga, Tallinn] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga, Tallinn] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Hamburg to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Salzburg, Hamburg, Bucharest].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n       |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Salzburg, Hamburg, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Salzburg, Hamburg, Bucharest, Riga, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-11:** Visit Hamburg for 7 days.\n**Day 11:** Fly from Hamburg to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Tallinn.\n**Day 17-21:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Lyon**Paris**Naples**Warsaw",
    "ground_truth_durations": "6**3**3**3**3",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Naples"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Paris",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 6 days. From day 1 to day 6, there is a annual show you want to attend in Vienna. You would like to visit Warsaw for 3 days. You want to spend 3 days in Naples. You plan to visit relatives in Naples between day 10 and day 12. You plan to stay in Paris for 3 days. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nParis and Naples, Vienna and Warsaw, Naples and Warsaw, Lyon and Paris, Vienna and Lyon, Vienna and Naples, Vienna and Paris, Paris and Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 6 days. From day 1 to day 6, there is a annual show you want to attend in Vienna. You would like to visit Warsaw for 3 days. You want to spend 3 days in Naples. You plan to visit relatives in Naples between day 10 and day 12. You plan to stay in Paris for 3 days. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Paris to Naples, from Vienna to Warsaw, from Naples to Warsaw, from Lyon to Paris, from Vienna to Lyon, from Vienna to Naples, from Vienna to Paris, from Paris to Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-6:** Arriving in Vienna and visit Vienna for 6 days.\n**Day 6:** Fly from Vienna to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_443",
    "estimated_output_tokens": 2051,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Warsaw, Duration: 3 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Paris, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 6.\n* City: Naples, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 10 - 12).\n |- The departure day of Vienna is Day 6. The arrival day of Naples is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Paris, Lyon] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Vienna to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 10 - 12).\n   |- The departure day of Warsaw is Day 8. The arrival day of Naples is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Warsaw].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Lyon] and explore these options in order.\n     |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Warsaw to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Warsaw to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Vienna to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 10 - 12).\n   |- The departure day of Paris is Day 8. The arrival day of Naples is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Lyon] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Paris to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 10 - 12).\n     |- The departure day of Warsaw is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Paris, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Warsaw to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Paris to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Vienna to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 10 - 12).\n   |- The departure day of Lyon is Day 8. The arrival day of Naples is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Paris] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Lyon to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Lyon to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 10 - 12).\n     |- The departure day of Paris is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Lyon, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Paris to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vienna, Lyon, Paris, Naples].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Naples to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Lyon, Paris, Naples, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Vienna and visit Vienna for 6 days.\n**Day 6:** Fly from Vienna to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Porto**Vienna**Riga**Amsterdam",
    "ground_truth_durations": "5**6**3**3**6",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 3 days. You would like to visit Stuttgart for 5 days. You would like to visit Porto for 6 days. During day 5 and day 10, you have to attend a conference in Porto. You want to spend 6 days in Amsterdam. You want to meet a friend in Amsterdam between day 14 and day 19. You plan to stay in Riga for 3 days.\n\nHere are the cities that have direct flights:\nRiga and Amsterdam, Porto and Amsterdam, Stuttgart and Vienna, Porto and Vienna, Vienna and Riga, Stuttgart and Porto, Vienna and Amsterdam, Stuttgart and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 3 days. You would like to visit Stuttgart for 5 days. You would like to visit Porto for 6 days. During day 5 and day 10, you have to attend a conference in Porto. You want to spend 6 days in Amsterdam. You want to meet a friend in Amsterdam between day 14 and day 19. You plan to stay in Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Amsterdam, from Porto to Amsterdam, from Stuttgart to Vienna, from Porto to Vienna, from Vienna to Riga, from Stuttgart to Porto, from Vienna to Amsterdam, from Stuttgart to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Porto.\n**Day 5-10:** Visit Porto for 6 days.\n**Day 10:** Fly from Porto to Vienna.\n**Day 10-12:** Visit Vienna for 3 days.\n**Day 12:** Fly from Vienna to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Amsterdam.\n**Day 14-19:** Visit Amsterdam for 6 days.",
    "id": "trip_planning_example_444",
    "estimated_output_tokens": 1753,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Porto, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Amsterdam, Duration: 6 days, Fixed Schedule: Day 14 - 19.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 5 - 10.\n* City: Amsterdam, Fixed Schedule: Day 14 - 19.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Stuttgart, Riga] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 10).\n |- The departure day of Vienna is Day 3. The arrival day of Porto is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Riga] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vienna to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 5 - 10).\n   |- The departure day of Riga is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Riga to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 10).\n |- The departure day of Stuttgart is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Stuttgart to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 14 - 19).\n   |- The departure day of Porto is Day 10. The arrival day of Amsterdam is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Stuttgart, Porto].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Riga] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Porto to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 14 - 19).\n     |- The departure day of Vienna is Day 12. The arrival day of Amsterdam is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stuttgart, Porto, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Vienna to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 14 - 19).\n       |- The departure day of Riga is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Porto, Vienna, Riga].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Riga to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stuttgart, Porto, Vienna, Riga, Amsterdam].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Porto.\n**Day 5-10:** Visit Porto for 6 days.\n**Day 10:** Fly from Porto to Vienna.\n**Day 10-12:** Visit Vienna for 3 days.\n**Day 12:** Fly from Vienna to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Amsterdam.\n**Day 14-19:** Visit Amsterdam for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Stockholm**Dubrovnik**Munich**Mykonos",
    "ground_truth_durations": "7**4**7**7**5",
    "num_cities": 5,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Munich"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Munich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 7 days. You want to spend 4 days in Stockholm. You plan to visit relatives in Stockholm between day 7 and day 10. You want to spend 7 days in Dublin. From day 1 to day 7, there is a annual show you want to attend in Dublin. You want to spend 7 days in Munich. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nDublin and Dubrovnik, Dublin and Munich, Stockholm and Dubrovnik, Stockholm and Munich, Dubrovnik and Munich, Dublin and Stockholm, Munich and Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 7 days. You want to spend 4 days in Stockholm. You plan to visit relatives in Stockholm between day 7 and day 10. You want to spend 7 days in Dublin. From day 1 to day 7, there is a annual show you want to attend in Dublin. You want to spend 7 days in Munich. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Dublin to Dubrovnik, from Dublin to Munich, from Stockholm to Dubrovnik, from Stockholm to Munich, from Dubrovnik to Munich, from Dublin to Stockholm, from Munich to Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 26 days:\n\n**Day 1-7:** Arriving in Dublin and visit Dublin for 7 days.\n**Day 7:** Fly from Dublin to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-16:** Visit Dubrovnik for 7 days.\n**Day 16:** Fly from Dubrovnik to Munich.\n**Day 16-22:** Visit Munich for 7 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_445",
    "estimated_output_tokens": 1172,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 7 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Dublin, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Munich, Duration: 7 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 7.\n* City: Stockholm, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 7 days.\n* City: Munich, Duration: 7 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 7 - 10).\n |- The departure day of Dublin is Day 7. The arrival day of Stockholm is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Dublin to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Dublin, Stockholm].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Munich, Mykonos] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Dublin, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n       |- Try arranging to visit Munich from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n       |- Check for direct flight from Dubrovnik to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Dublin, Stockholm, Dubrovnik, Munich].\n        |- Check whether the city with an arrival day of Day 22 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n         |- Check for direct flight from Munich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 26. Current plan: [Dublin, Stockholm, Dubrovnik, Munich, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Dublin and visit Dublin for 7 days.\n**Day 7:** Fly from Dublin to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-16:** Visit Dubrovnik for 7 days.\n**Day 16:** Fly from Dubrovnik to Munich.\n**Day 16-22:** Visit Munich for 7 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Venice**Hamburg**Milan**Riga",
    "ground_truth_durations": "3**5**6**2**2",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Milan",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You want to spend 6 days in Hamburg. During day 7 and day 12, you have to attend a conference in Hamburg. You would like to visit Brussels for 3 days. You are going to attend a wedding in Brussels between day 1 and day 3. You would like to visit Riga for 2 days. You want to spend 5 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, Hamburg and Milan, Brussels and Milan, Brussels and Venice, Venice and Hamburg, Brussels and Hamburg, Brussels and Riga, Milan and Riga.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You want to spend 6 days in Hamburg. During day 7 and day 12, you have to attend a conference in Hamburg. You would like to visit Brussels for 3 days. You are going to attend a wedding in Brussels between day 1 and day 3. You would like to visit Riga for 2 days. You want to spend 5 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, from Hamburg to Milan, from Brussels to Milan, from Brussels to Venice, from Venice to Hamburg, from Brussels to Hamburg, from Brussels to Riga, from Milan to Riga.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Hamburg.\n**Day 7-12:** Visit Hamburg for 6 days.\n**Day 12:** Fly from Hamburg to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Riga.\n**Day 13-14:** Visit Riga for 2 days.",
    "id": "trip_planning_example_446",
    "estimated_output_tokens": 1993,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days.\n* City: Hamburg, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Fixed Schedule: Day 7 - 12.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 7 - 12).\n |- The departure day of Brussels is Day 3. The arrival day of Hamburg is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Riga, Venice] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 7 - 12).\n   |- The departure day of Milan is Day 4. The arrival day of Hamburg is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 7 - 12).\n     |- The departure day of Riga is Day 5. The arrival day of Hamburg is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Brussels, Milan, Riga].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 7 - 12).\n   |- The departure day of Riga is Day 4. The arrival day of Hamburg is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Venice] and explore these options in order.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Riga to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 7 - 12).\n   |- The departure day of Venice is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Venice to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Brussels, Venice, Hamburg].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Riga] and explore these options in order.\n       |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Hamburg to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Venice, Hamburg, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Milan to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Venice, Hamburg, Milan, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Hamburg.\n**Day 7-12:** Visit Hamburg for 6 days.\n**Day 12:** Fly from Hamburg to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**London**Venice**Warsaw**Reykjavik",
    "ground_truth_durations": "5**4**2**3**5",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "London",
        "Reykjavik"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Santorini",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You plan to stay in Warsaw for 3 days. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 8 and day 9. You would like to visit Reykjavik for 5 days. You plan to stay in London for 4 days. You plan to visit relatives in London between day 5 and day 8.\n\nHere are the cities that have direct flights:\nLondon and Reykjavik, London and Venice, Venice and Warsaw, London and Warsaw, Warsaw and Reykjavik, Santorini and London, Santorini and Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You plan to stay in Warsaw for 3 days. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 8 and day 9. You would like to visit Reykjavik for 5 days. You plan to stay in London for 4 days. You plan to visit relatives in London between day 5 and day 8.\n\nHere are the cities that have direct flights:\nfrom London to Reykjavik, from London to Venice, from Venice to Warsaw, from London to Warsaw, from Warsaw to Reykjavik, from Santorini to London, from Santorini to Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Warsaw.\n**Day 9-11:** Visit Warsaw for 3 days.\n**Day 11:** Fly from Warsaw to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_447",
    "estimated_output_tokens": 1218,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Reykjavik, Duration: 5 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Venice, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Santorini, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Reykjavik] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Santorini is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of London is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Santorini, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, London, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, London, Venice, Warsaw].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Warsaw to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Santorini, London, Venice, Warsaw, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Warsaw.\n**Day 9-11:** Visit Warsaw for 3 days.\n**Day 11:** Fly from Warsaw to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Zurich**Hamburg**Istanbul**Lyon",
    "ground_truth_durations": "3**2**5**4**4",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Zurich",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You want to meet a friend in Manchester between day 1 and day 3. You want to spend 4 days in Lyon. You plan to stay in Istanbul for 4 days. You plan to stay in Hamburg for 5 days. You plan to visit relatives in Hamburg between day 4 and day 8. You would like to visit Zurich for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Lyon, Manchester and Zurich, Manchester and Istanbul, Manchester and Hamburg, Hamburg and Istanbul, Zurich and Hamburg, Zurich and Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You want to meet a friend in Manchester between day 1 and day 3. You want to spend 4 days in Lyon. You plan to stay in Istanbul for 4 days. You plan to stay in Hamburg for 5 days. You plan to visit relatives in Hamburg between day 4 and day 8. You would like to visit Zurich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Lyon, from Manchester to Zurich, from Manchester to Istanbul, from Manchester to Hamburg, from Hamburg to Istanbul, from Zurich to Hamburg, from Zurich to Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Zurich.\n**Day 3-4:** Visit Zurich for 2 days.\n**Day 4:** Fly from Zurich to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Istanbul.\n**Day 8-11:** Visit Istanbul for 4 days.\n**Day 11:** Fly from Istanbul to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_448",
    "estimated_output_tokens": 1364,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Zurich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 4 - 8).\n |- The departure day of Manchester is Day 3. The arrival day of Hamburg is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Istanbul, Zurich] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 4 - 8).\n   |- The departure day of Istanbul is Day 6. The arrival day of Hamburg is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Manchester to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 4 - 8).\n   |- The departure day of Zurich is Day 4. The arrival day of Hamburg is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Manchester, Zurich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Zurich to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Zurich, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Istanbul] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Hamburg to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Hamburg to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Manchester, Zurich, Hamburg, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Istanbul to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Manchester, Zurich, Hamburg, Istanbul, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Zurich.\n**Day 3-4:** Visit Zurich for 2 days.\n**Day 4:** Fly from Zurich to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Istanbul.\n**Day 8-11:** Visit Istanbul for 4 days.\n**Day 11:** Fly from Istanbul to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Stockholm**Reykjavik**Frankfurt**Valencia",
    "ground_truth_durations": "6**4**3**3**5",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You would like to visit Valencia for 5 days. You would like to visit Reykjavik for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 6 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 6.\n\nHere are the cities that have direct flights:\nStockholm and Frankfurt, Frankfurt and Valencia, Hamburg and Stockholm, Reykjavik and Frankfurt, Hamburg and Frankfurt, Stockholm and Reykjavik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You would like to visit Valencia for 5 days. You would like to visit Reykjavik for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 6 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Frankfurt, from Frankfurt to Valencia, from Hamburg to Stockholm, from Reykjavik to Frankfurt, from Hamburg to Frankfurt, from Stockholm to Reykjavik.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-6:** Arriving in Hamburg and visit Hamburg for 6 days.\n**Day 6:** Fly from Hamburg to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_449",
    "estimated_output_tokens": 2277,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Hamburg, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Valencia, Reykjavik, Stockholm] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Hamburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Stockholm] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Hamburg, Frankfurt, Valencia].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Valencia to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Frankfurt to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Hamburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Hamburg to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Hamburg to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Stockholm].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Valencia, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Stockholm to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Stockholm, Frankfurt].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Frankfurt to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Hamburg, Stockholm, Frankfurt, Valencia].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Valencia to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Frankfurt to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Stockholm to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Stockholm, Reykjavik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Valencia] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Reykjavik to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Hamburg, Stockholm, Reykjavik, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Hamburg, Stockholm, Reykjavik, Frankfurt, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Hamburg and visit Hamburg for 6 days.\n**Day 6:** Fly from Hamburg to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Brussels**Frankfurt**Valencia**Stuttgart",
    "ground_truth_durations": "5**7**3**5**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 5,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Brussels",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Brussels. You have to attend a workshop in Brussels between day 5 and day 11. You want to spend 3 days in Frankfurt. You plan to stay in Valencia for 5 days. You want to meet a friend in Valencia between day 13 and day 17. You want to spend 7 days in Stuttgart. You would like to visit Vienna for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Stuttgart, Frankfurt and Valencia, Vienna and Stuttgart, Valencia and Stuttgart, Vienna and Valencia, Vienna and Frankfurt, from Brussels to Frankfurt, Vienna and Brussels, Brussels and Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Brussels. You have to attend a workshop in Brussels between day 5 and day 11. You want to spend 3 days in Frankfurt. You plan to stay in Valencia for 5 days. You want to meet a friend in Valencia between day 13 and day 17. You want to spend 7 days in Stuttgart. You would like to visit Vienna for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Stuttgart, from Frankfurt to Valencia, from Vienna to Stuttgart, from Valencia to Stuttgart, from Vienna to Valencia, from Vienna to Frankfurt, from Brussels to Frankfurt, from Vienna to Brussels, from Brussels to Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Brussels.\n**Day 5-11:** Visit Brussels for 7 days.\n**Day 11:** Fly from Brussels to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-23:** Visit Stuttgart for 7 days.",
    "id": "trip_planning_example_450",
    "estimated_output_tokens": 1670,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 7 days, Fixed Schedule: Day 5 - 11.\n* City: Frankfurt, Duration: 3 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Stuttgart, Duration: 7 days.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 5 - 11.\n* City: Valencia, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Stuttgart, Duration: 7 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Stuttgart, Vienna] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 11).\n |- The departure day of Frankfurt is Day 3. The arrival day of Brussels is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Frankfurt to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 5 - 11).\n   |- The departure day of Stuttgart is Day 9. The arrival day of Brussels is Day 5. Day 9 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 11).\n |- The departure day of Stuttgart is Day 7. The arrival day of Brussels is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 11).\n |- The departure day of Vienna is Day 5. The arrival day of Brussels is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Vienna to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 13 - 17).\n   |- The departure day of Brussels is Day 11. The arrival day of Valencia is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Vienna, Brussels].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Brussels to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 13 - 17).\n     |- The departure day of Frankfurt is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Vienna, Brussels, Frankfurt].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Frankfurt to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Vienna, Brussels, Frankfurt, Valencia].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Vienna, Brussels, Frankfurt, Valencia, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Brussels.\n**Day 5-11:** Visit Brussels for 7 days.\n**Day 11:** Fly from Brussels to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-23:** Visit Stuttgart for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Vienna**Riga**Munich**Krakow",
    "ground_truth_durations": "6**4**5**4**3",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Vienna",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You plan to stay in Vienna for 4 days. You would like to visit Krakow for 3 days. You want to spend 4 days in Munich. From day 13 to day 16, there is a annual show you want to attend in Munich. You would like to visit Dubrovnik for 6 days. You would like to meet your friends at Dubrovnik between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, Munich and Krakow, Vienna and Krakow, Dubrovnik and Munich, Dubrovnik and Vienna, Vienna and Riga, Vienna and Munich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You plan to stay in Vienna for 4 days. You would like to visit Krakow for 3 days. You want to spend 4 days in Munich. From day 13 to day 16, there is a annual show you want to attend in Munich. You would like to visit Dubrovnik for 6 days. You would like to meet your friends at Dubrovnik between day 1 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, from Munich to Krakow, from Vienna to Krakow, from Dubrovnik to Munich, from Dubrovnik to Vienna, from Vienna to Riga, from Vienna to Munich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Vienna.\n**Day 6-9:** Visit Vienna for 4 days.\n**Day 9:** Fly from Vienna to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_451",
    "estimated_output_tokens": 1298,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Dubrovnik, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 6.\n* City: Munich, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 13 - 16).\n |- The departure day of Dubrovnik is Day 6. The arrival day of Munich is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Vienna, Krakow] and explore these options in order.\n   |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Dubrovnik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Dubrovnik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 13 - 16).\n   |- The departure day of Vienna is Day 9. The arrival day of Munich is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Dubrovnik, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Krakow] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 13 - 16).\n     |- The departure day of Riga is Day 13. The arrival day of Munich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Dubrovnik, Vienna, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Riga to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Dubrovnik, Vienna, Riga, Munich].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Munich to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dubrovnik, Vienna, Riga, Munich, Krakow].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Dubrovnik and visit Dubrovnik for 6 days.\n**Day 6:** Fly from Dubrovnik to Vienna.\n**Day 6-9:** Visit Vienna for 4 days.\n**Day 9:** Fly from Vienna to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Amsterdam**Reykjavik**Warsaw",
    "ground_truth_durations": "4**4**3**7**7",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Amsterdam. During day 7 and day 9, you have to attend a conference in Amsterdam. You would like to visit Tallinn for 4 days. You would like to visit Reykjavik for 7 days. You would like to meet your friends at Reykjavik between day 9 and day 15 to tour together. You would like to visit Warsaw for 7 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Reykjavik, Reykjavik and Warsaw, from Tallinn to Vilnius, Vilnius and Amsterdam, Vilnius and Warsaw, Tallinn and Warsaw, Amsterdam and Warsaw, Tallinn and Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Amsterdam. During day 7 and day 9, you have to attend a conference in Amsterdam. You would like to visit Tallinn for 4 days. You would like to visit Reykjavik for 7 days. You would like to meet your friends at Reykjavik between day 9 and day 15 to tour together. You would like to visit Warsaw for 7 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Reykjavik, from Reykjavik to Warsaw, from Tallinn to Vilnius, from Vilnius to Amsterdam, from Vilnius to Warsaw, from Tallinn to Warsaw, from Amsterdam to Warsaw, from Tallinn to Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-7:** Visit Vilnius for 4 days.\n**Day 7:** Fly from Vilnius to Amsterdam.\n**Day 7-9:** Visit Amsterdam for 3 days.\n**Day 9:** Fly from Amsterdam to Reykjavik.\n**Day 9-15:** Visit Reykjavik for 7 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-21:** Visit Warsaw for 7 days.",
    "id": "trip_planning_example_452",
    "estimated_output_tokens": 1660,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Tallinn, Duration: 4 days.\n* City: Reykjavik, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Warsaw, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n* City: Warsaw, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Warsaw] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 7 - 9).\n |- The departure day of Vilnius is Day 4. The arrival day of Amsterdam is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Vilnius to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 7 - 9).\n   |- The departure day of Warsaw is Day 10. The arrival day of Amsterdam is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 7 - 9).\n |- The departure day of Tallinn is Day 4. The arrival day of Amsterdam is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Warsaw] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 7 - 9).\n   |- The departure day of Vilnius is Day 7. The arrival day of Amsterdam is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vilnius to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 15).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Tallinn, Vilnius, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Amsterdam to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Tallinn, Vilnius, Amsterdam, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Tallinn, Vilnius, Amsterdam, Reykjavik, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-7:** Visit Vilnius for 4 days.\n**Day 7:** Fly from Vilnius to Amsterdam.\n**Day 7-9:** Visit Amsterdam for 3 days.\n**Day 9:** Fly from Amsterdam to Reykjavik.\n**Day 9-15:** Visit Reykjavik for 7 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-21:** Visit Warsaw for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Hamburg**Rome**Seville**Porto",
    "ground_truth_durations": "3**6**2**7**5",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 15,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Warsaw",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You plan to visit relatives in Warsaw between day 1 and day 3. You plan to stay in Hamburg for 6 days. You want to spend 2 days in Rome. You want to spend 7 days in Seville. You want to spend 5 days in Porto. You are going to attend a wedding in Porto between day 15 and day 19.\n\nHere are the cities that have direct flights:\nWarsaw and Hamburg, Hamburg and Rome, Rome and Seville, Hamburg and Porto, Warsaw and Rome, Seville and Porto, Warsaw and Porto.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You plan to visit relatives in Warsaw between day 1 and day 3. You plan to stay in Hamburg for 6 days. You want to spend 2 days in Rome. You want to spend 7 days in Seville. You want to spend 5 days in Porto. You are going to attend a wedding in Porto between day 15 and day 19.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Hamburg, from Hamburg to Rome, from Rome to Seville, from Hamburg to Porto, from Warsaw to Rome, from Seville to Porto, from Warsaw to Porto.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Hamburg.\n**Day 3-8:** Visit Hamburg for 6 days.\n**Day 8:** Fly from Hamburg to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Seville.\n**Day 9-15:** Visit Seville for 7 days.\n**Day 15:** Fly from Seville to Porto.\n**Day 15-19:** Visit Porto for 5 days.",
    "id": "trip_planning_example_453",
    "estimated_output_tokens": 1250,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Duration: 6 days.\n* City: Rome, Duration: 2 days.\n* City: Seville, Duration: 7 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 3.\n* City: Porto, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 6 days.\n* City: Rome, Duration: 2 days.\n* City: Seville, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 15 - 19).\n |- The departure day of Warsaw is Day 3. The arrival day of Porto is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Rome, Seville] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Warsaw to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 15 - 19).\n   |- The departure day of Hamburg is Day 8. The arrival day of Porto is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Seville] and explore these options in order.\n     |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Hamburg to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 15 - 19).\n     |- The departure day of Rome is Day 9. The arrival day of Porto is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Warsaw, Hamburg, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Rome to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 15 - 19).\n       |- The departure day of Seville is Day 15. The arrival day of Porto is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Hamburg, Rome, Seville].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Seville to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Warsaw, Hamburg, Rome, Seville, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Hamburg.\n**Day 3-8:** Visit Hamburg for 6 days.\n**Day 8:** Fly from Hamburg to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Seville.\n**Day 9-15:** Visit Seville for 7 days.\n**Day 15:** Fly from Seville to Porto.\n**Day 15-19:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Vilnius**Brussels**Porto**Lyon",
    "ground_truth_durations": "2**4**5**4**7",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 2,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Vilnius",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 9 and day 12 to tour together. You want to spend 5 days in Brussels. You plan to stay in Lyon for 7 days. You plan to stay in Vilnius for 4 days. You want to meet a friend in Vilnius between day 2 and day 5.\n\nHere are the cities that have direct flights:\nBrussels and Lyon, Porto and Lyon, Helsinki and Vilnius, Helsinki and Brussels, Brussels and Porto, Vilnius and Brussels.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 9 and day 12 to tour together. You want to spend 5 days in Brussels. You plan to stay in Lyon for 7 days. You plan to stay in Vilnius for 4 days. You want to meet a friend in Vilnius between day 2 and day 5.\n\nHere are the cities that have direct flights:\nfrom Brussels to Lyon, from Porto to Lyon, from Helsinki to Vilnius, from Helsinki to Brussels, from Brussels to Porto, from Vilnius to Brussels.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Lyon.\n**Day 12-18:** Visit Lyon for 7 days.",
    "id": "trip_planning_example_454",
    "estimated_output_tokens": 1233,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Brussels, Duration: 5 days.\n* City: Lyon, Duration: 7 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 2 - 5.\n* City: Porto, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Brussels, Duration: 5 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Lyon] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 5).\n |- The departure day of Helsinki is Day 2. The arrival day of Vilnius is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 9 - 12).\n   |- The departure day of Vilnius is Day 5. The arrival day of Porto is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Lyon] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 9 - 12).\n     |- The departure day of Brussels is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Vilnius, Brussels].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Brussels to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Vilnius, Brussels, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n         |- Check for direct flight from Porto to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Helsinki, Vilnius, Brussels, Porto, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Lyon.\n**Day 12-18:** Visit Lyon for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Istanbul**Krakow**Warsaw**Reykjavik",
    "ground_truth_durations": "2**6**7**3**7",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Riga",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Reykjavik. You plan to stay in Riga for 2 days. You want to meet a friend in Riga between day 1 and day 2. You plan to stay in Warsaw for 3 days. You plan to stay in Istanbul for 6 days. You are going to attend a wedding in Istanbul between day 2 and day 7. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nIstanbul and Krakow, Warsaw and Reykjavik, Istanbul and Warsaw, Riga and Istanbul, Krakow and Warsaw, Riga and Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Reykjavik. You plan to stay in Riga for 2 days. You want to meet a friend in Riga between day 1 and day 2. You plan to stay in Warsaw for 3 days. You plan to stay in Istanbul for 6 days. You are going to attend a wedding in Istanbul between day 2 and day 7. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Krakow, from Warsaw to Reykjavik, from Istanbul to Warsaw, from Riga to Istanbul, from Krakow to Warsaw, from Riga to Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Istanbul.\n**Day 2-7:** Visit Istanbul for 6 days.\n**Day 7:** Fly from Istanbul to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.\n**Day 13:** Fly from Krakow to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Reykjavik.\n**Day 15-21:** Visit Reykjavik for 7 days.",
    "id": "trip_planning_example_455",
    "estimated_output_tokens": 1743,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 7 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 3 days.\n* City: Istanbul, Duration: 6 days, Fixed Schedule: Day 2 - 7.\n* City: Krakow, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Fixed Schedule: Day 2 - 7.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 7 days.\n* City: Warsaw, Duration: 3 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 7).\n |- The departure day of Riga is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Riga to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Warsaw, Krakow] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Istanbul to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Istanbul to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Istanbul, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Krakow] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Warsaw to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Riga, Istanbul, Warsaw, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Reykjavik to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Warsaw to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Istanbul to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Riga, Istanbul, Krakow].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Warsaw] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Krakow to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Krakow to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Riga, Istanbul, Krakow, Warsaw].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Warsaw to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Riga, Istanbul, Krakow, Warsaw, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Istanbul.\n**Day 2-7:** Visit Istanbul for 6 days.\n**Day 7:** Fly from Istanbul to Krakow.\n**Day 7-13:** Visit Krakow for 7 days.\n**Day 13:** Fly from Krakow to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Reykjavik.\n**Day 15-21:** Visit Reykjavik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Athens**Riga**Barcelona**Seville",
    "ground_truth_durations": "3**6**6**6**3",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 3,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 13,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Barcelona",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Berlin for 3 days. You would like to visit Athens for 6 days. You would like to meet your friends at Athens between day 3 and day 8 to tour together. You plan to stay in Riga for 6 days. You would like to visit Barcelona for 6 days. You plan to visit relatives in Barcelona between day 13 and day 18.\n\nHere are the cities that have direct flights:\nBerlin and Barcelona, from Athens to Riga, Berlin and Athens, Athens and Barcelona, Riga and Barcelona, Berlin and Riga, Barcelona and Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Berlin for 3 days. You would like to visit Athens for 6 days. You would like to meet your friends at Athens between day 3 and day 8 to tour together. You plan to stay in Riga for 6 days. You would like to visit Barcelona for 6 days. You plan to visit relatives in Barcelona between day 13 and day 18.\n\nHere are the cities that have direct flights:\nfrom Berlin to Barcelona, from Athens to Riga, from Berlin to Athens, from Athens to Barcelona, from Riga to Barcelona, from Berlin to Riga, from Barcelona to Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Athens.\n**Day 3-8:** Visit Athens for 6 days.\n**Day 8:** Fly from Athens to Riga.\n**Day 8-13:** Visit Riga for 6 days.\n**Day 13:** Fly from Riga to Barcelona.\n**Day 13-18:** Visit Barcelona for 6 days.\n**Day 18:** Fly from Barcelona to Seville.\n**Day 18-20:** Visit Seville for 3 days.",
    "id": "trip_planning_example_456",
    "estimated_output_tokens": 1512,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n* City: Riga, Duration: 6 days.\n* City: Barcelona, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 3 - 8.\n* City: Barcelona, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Riga, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Berlin, Riga] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 8).\n |- The departure day of Seville is Day 3. The arrival day of Athens is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Seville to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 8).\n |- The departure day of Berlin is Day 3. The arrival day of Athens is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Berlin to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 13 - 18).\n   |- The departure day of Athens is Day 8. The arrival day of Barcelona is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Riga] and explore these options in order.\n     |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Athens to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Barcelona (Day 13 - 18).\n     |- The departure day of Riga is Day 13. The arrival day of Barcelona is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Berlin, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Barcelona.\n       |- Try arranging to visit Barcelona from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Riga to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Berlin, Athens, Riga, Barcelona].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n         |- Check for direct flight from Barcelona to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Berlin, Athens, Riga, Barcelona, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Athens.\n**Day 3-8:** Visit Athens for 6 days.\n**Day 8:** Fly from Athens to Riga.\n**Day 8-13:** Visit Riga for 6 days.\n**Day 13:** Fly from Riga to Barcelona.\n**Day 13-18:** Visit Barcelona for 6 days.\n**Day 18:** Fly from Barcelona to Seville.\n**Day 18-20:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Paris**Valencia**Athens**Santorini",
    "ground_truth_durations": "6**7**3**6**3",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Paris",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You plan to stay in Paris for 7 days. You would like to visit Reykjavik for 6 days. You are going to attend a wedding in Reykjavik between day 1 and day 6. You would like to visit Valencia for 3 days. You would like to meet your friends at Valencia between day 12 and day 14 to tour together. You plan to stay in Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, Paris and Athens, Reykjavik and Paris, Athens and Santorini, from Valencia to Athens, Paris and Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You plan to stay in Paris for 7 days. You would like to visit Reykjavik for 6 days. You are going to attend a wedding in Reykjavik between day 1 and day 6. You would like to visit Valencia for 3 days. You would like to meet your friends at Valencia between day 12 and day 14 to tour together. You plan to stay in Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, from Paris to Athens, from Reykjavik to Paris, from Athens to Santorini, from Valencia to Athens, from Paris to Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Paris.\n**Day 6-12:** Visit Paris for 7 days.\n**Day 12:** Fly from Paris to Valencia.\n**Day 12-14:** Visit Valencia for 3 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-19:** Visit Athens for 6 days.\n**Day 19:** Fly from Athens to Santorini.\n**Day 19-21:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_457",
    "estimated_output_tokens": 1602,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 6 days.\n* City: Paris, Duration: 7 days.\n* City: Reykjavik, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Santorini, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 6 days.\n* City: Paris, Duration: 7 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 12 - 14).\n |- The departure day of Reykjavik is Day 6. The arrival day of Valencia is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Paris, Santorini] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Reykjavik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 12 - 14).\n   |- The departure day of Athens is Day 11. The arrival day of Valencia is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Reykjavik, Athens].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Santorini] and explore these options in order.\n     |- Try arranging to visit Paris from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Athens to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 12 - 14).\n     |- The departure day of Santorini is Day 13. The arrival day of Valencia is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Reykjavik to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 12 - 14).\n   |- The departure day of Paris is Day 12. The arrival day of Valencia is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Reykjavik, Paris].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- Yes. The city with an arrival day of Day 12 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Paris to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Reykjavik, Paris, Valencia].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Santorini] and explore these options in order.\n       |- Try arranging to visit Athens from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Valencia to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Reykjavik, Paris, Valencia, Athens].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n         |- Check for direct flight from Athens to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Reykjavik, Paris, Valencia, Athens, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Paris.\n**Day 6-12:** Visit Paris for 7 days.\n**Day 12:** Fly from Paris to Valencia.\n**Day 12-14:** Visit Valencia for 3 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-19:** Visit Athens for 6 days.\n**Day 19:** Fly from Athens to Santorini.\n**Day 19-21:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Munich**Venice**Helsinki**Split",
    "ground_truth_durations": "5**7**2**5**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 16,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Split"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Mykonos",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You would like to visit Helsinki for 5 days. You plan to stay in Split for 6 days. You have to attend a workshop in Split between day 16 and day 21. You would like to visit Munich for 7 days. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nMunich and Split, Venice and Helsinki, Munich and Helsinki, Munich and Venice, Helsinki and Split, Mykonos and Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You would like to visit Helsinki for 5 days. You plan to stay in Split for 6 days. You have to attend a workshop in Split between day 16 and day 21. You would like to visit Munich for 7 days. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Munich to Split, from Venice to Helsinki, from Munich to Helsinki, from Munich to Venice, from Helsinki to Split, from Mykonos to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Munich.\n**Day 5-11:** Visit Munich for 7 days.\n**Day 11:** Fly from Munich to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Helsinki.\n**Day 12-16:** Visit Helsinki for 5 days.\n**Day 16:** Fly from Helsinki to Split.\n**Day 16-21:** Visit Split for 6 days.",
    "id": "trip_planning_example_458",
    "estimated_output_tokens": 3395,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Split, Duration: 6 days, Fixed Schedule: Day 16 - 21.\n* City: Munich, Duration: 7 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 16 - 21.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Munich, Duration: 7 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Helsinki, Munich, Mykonos] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 21).\n |- The departure day of Venice is Day 2. The arrival day of Split is Day 16. Day 2 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Munich, Mykonos] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 16 - 21).\n   |- The departure day of Helsinki is Day 6. The arrival day of Split is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n     |- Try arranging to visit Munich from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Helsinki to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Venice to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 21).\n |- The departure day of Helsinki is Day 5. The arrival day of Split is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Munich, Mykonos] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Helsinki to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 21).\n |- The departure day of Munich is Day 7. The arrival day of Split is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, Mykonos] and explore these options in order.\n   |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Munich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 16 - 21).\n   |- The departure day of Venice is Day 8. The arrival day of Split is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Munich, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Mykonos] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Venice to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 21).\n     |- The departure day of Helsinki is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Munich, Venice, Helsinki].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Helsinki to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Venice to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Munich to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 16 - 21).\n   |- The departure day of Helsinki is Day 11. The arrival day of Split is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Munich, Helsinki].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Mykonos] and explore these options in order.\n     |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Helsinki to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Helsinki to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Munich to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 21).\n |- The departure day of Mykonos is Day 5. The arrival day of Split is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, Munich] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Mykonos to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 16 - 21).\n   |- The departure day of Munich is Day 11. The arrival day of Split is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Mykonos, Munich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki] and explore these options in order.\n     |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Munich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 16 - 21).\n     |- The departure day of Venice is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Mykonos, Munich, Venice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Venice to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 16 - 21).\n       |- The departure day of Helsinki is Day 16. The arrival day of Split is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Mykonos, Munich, Venice, Helsinki].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Split.\n         |- Try arranging to visit Split from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Helsinki to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Mykonos, Munich, Venice, Helsinki, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Munich.\n**Day 5-11:** Visit Munich for 7 days.\n**Day 11:** Fly from Munich to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Helsinki.\n**Day 12-16:** Visit Helsinki for 5 days.\n**Day 16:** Fly from Helsinki to Split.\n**Day 16-21:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Athens**Zurich**Dubrovnik**Manchester",
    "ground_truth_durations": "4**4**6**7**2",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 7,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 18,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Manchester"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 6 days. During day 7 and day 12, you have to attend a conference in Zurich. You want to spend 4 days in Athens. You want to spend 7 days in Dubrovnik. You plan to stay in Stuttgart for 4 days. You plan to stay in Manchester for 2 days. You would like to meet your friends at Manchester between day 18 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nAthens and Manchester, Stuttgart and Athens, Athens and Zurich, Zurich and Dubrovnik, Stuttgart and Manchester, Dubrovnik and Manchester, Athens and Dubrovnik, Zurich and Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 6 days. During day 7 and day 12, you have to attend a conference in Zurich. You want to spend 4 days in Athens. You want to spend 7 days in Dubrovnik. You plan to stay in Stuttgart for 4 days. You plan to stay in Manchester for 2 days. You would like to meet your friends at Manchester between day 18 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nfrom Athens to Manchester, from Stuttgart to Athens, from Athens to Zurich, from Zurich to Dubrovnik, from Stuttgart to Manchester, from Dubrovnik to Manchester, from Athens to Dubrovnik, from Zurich to Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Athens.\n**Day 4-7:** Visit Athens for 4 days.\n**Day 7:** Fly from Athens to Zurich.\n**Day 7-12:** Visit Zurich for 6 days.\n**Day 12:** Fly from Zurich to Dubrovnik.\n**Day 12-18:** Visit Dubrovnik for 7 days.\n**Day 18:** Fly from Dubrovnik to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_459",
    "estimated_output_tokens": 1883,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 6 days, Fixed Schedule: Day 7 - 12.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 7 - 12.\n* City: Manchester, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Dubrovnik, Stuttgart] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 7 - 12).\n |- The departure day of Athens is Day 4. The arrival day of Zurich is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 7 - 12).\n   |- The departure day of Dubrovnik is Day 10. The arrival day of Zurich is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 7 - 12).\n |- The departure day of Dubrovnik is Day 7. The arrival day of Zurich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Dubrovnik to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 7 - 12).\n |- The departure day of Stuttgart is Day 4. The arrival day of Zurich is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 7 - 12).\n   |- The departure day of Athens is Day 7. The arrival day of Zurich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Athens to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 18 - 19).\n     |- The departure day of Zurich is Day 12. The arrival day of Manchester is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stuttgart, Athens, Zurich].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Zurich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 18 - 19).\n       |- The departure day of Dubrovnik is Day 18. The arrival day of Manchester is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Stuttgart, Athens, Zurich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- Yes. The city with an arrival day of Day 18 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Dubrovnik to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stuttgart, Athens, Zurich, Dubrovnik, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Athens.\n**Day 4-7:** Visit Athens for 4 days.\n**Day 7:** Fly from Athens to Zurich.\n**Day 7-12:** Visit Zurich for 6 days.\n**Day 12:** Fly from Zurich to Dubrovnik.\n**Day 12-18:** Visit Dubrovnik for 7 days.\n**Day 18:** Fly from Dubrovnik to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Athens**Edinburgh**Porto**Lyon",
    "ground_truth_durations": "2**7**4**3**3",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You are going to attend a wedding in Mykonos between day 1 and day 2. You would like to visit Lyon for 3 days. You want to spend 7 days in Athens. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 11 and day 13.\n\nHere are the cities that have direct flights:\nAthens and Edinburgh, Mykonos and Athens, Edinburgh and Porto, Porto and Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You are going to attend a wedding in Mykonos between day 1 and day 2. You would like to visit Lyon for 3 days. You want to spend 7 days in Athens. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 11 and day 13.\n\nHere are the cities that have direct flights:\nfrom Athens to Edinburgh, from Mykonos to Athens, from Edinburgh to Porto, from Porto to Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Athens.\n**Day 2-8:** Visit Athens for 7 days.\n**Day 8:** Fly from Athens to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-15:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_460",
    "estimated_output_tokens": 1320,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Lyon, Duration: 3 days.\n* City: Athens, Duration: 7 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 2.\n* City: Porto, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Athens, Duration: 7 days.\n* City: Edinburgh, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 13).\n |- The departure day of Mykonos is Day 2. The arrival day of Porto is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Athens, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Mykonos to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Athens is Day 8. The arrival day of Porto is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Mykonos, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Athens to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 11 - 13).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Mykonos, Athens, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Edinburgh to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Athens, Edinburgh, Porto].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Porto to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Mykonos, Athens, Edinburgh, Porto, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Athens.\n**Day 2-8:** Visit Athens for 7 days.\n**Day 8:** Fly from Athens to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-15:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Helsinki**Madrid**Seville**Amsterdam",
    "ground_truth_durations": "3**7**4**3**6",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Madrid"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You would like to visit Madrid for 4 days. You want to spend 3 days in Prague. You are going to attend a wedding in Prague between day 1 and day 3. You plan to stay in Amsterdam for 6 days. From day 14 to day 19, there is a annual show you want to attend in Amsterdam. You want to spend 7 days in Helsinki.\n\nHere are the cities that have direct flights:\nPrague and Madrid, Madrid and Amsterdam, Madrid and Seville, Prague and Helsinki, Prague and Amsterdam, Seville and Amsterdam, Helsinki and Amsterdam, Helsinki and Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You would like to visit Madrid for 4 days. You want to spend 3 days in Prague. You are going to attend a wedding in Prague between day 1 and day 3. You plan to stay in Amsterdam for 6 days. From day 14 to day 19, there is a annual show you want to attend in Amsterdam. You want to spend 7 days in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Prague to Madrid, from Madrid to Amsterdam, from Madrid to Seville, from Prague to Helsinki, from Prague to Amsterdam, from Seville to Amsterdam, from Helsinki to Amsterdam, from Helsinki to Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Helsinki.\n**Day 3-9:** Visit Helsinki for 7 days.\n**Day 9:** Fly from Helsinki to Madrid.\n**Day 9-12:** Visit Madrid for 4 days.\n**Day 12:** Fly from Madrid to Seville.\n**Day 12-14:** Visit Seville for 3 days.\n**Day 14:** Fly from Seville to Amsterdam.\n**Day 14-19:** Visit Amsterdam for 6 days.",
    "id": "trip_planning_example_461",
    "estimated_output_tokens": 1857,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Duration: 6 days, Fixed Schedule: Day 14 - 19.\n* City: Helsinki, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 14 - 19.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n* City: Helsinki, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 14 - 19).\n |- The departure day of Prague is Day 3. The arrival day of Amsterdam is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Madrid, Helsinki] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 14 - 19).\n   |- The departure day of Madrid is Day 6. The arrival day of Amsterdam is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Helsinki] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Madrid to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 14 - 19).\n     |- The departure day of Seville is Day 8. The arrival day of Amsterdam is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Madrid, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Seville to Helsinki.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Madrid to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Prague to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 14 - 19).\n   |- The departure day of Helsinki is Day 9. The arrival day of Amsterdam is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Prague, Helsinki].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Madrid] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Helsinki to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Helsinki to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 14 - 19).\n     |- The departure day of Madrid is Day 12. The arrival day of Amsterdam is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Helsinki, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 14 - 19).\n       |- The departure day of Seville is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Prague, Helsinki, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Seville to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Prague, Helsinki, Madrid, Seville, Amsterdam].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Helsinki.\n**Day 3-9:** Visit Helsinki for 7 days.\n**Day 9:** Fly from Helsinki to Madrid.\n**Day 9-12:** Visit Madrid for 4 days.\n**Day 12:** Fly from Madrid to Seville.\n**Day 12-14:** Visit Seville for 3 days.\n**Day 14:** Fly from Seville to Amsterdam.\n**Day 14-19:** Visit Amsterdam for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**London**Naples**Berlin**Riga",
    "ground_truth_durations": "4**3**5**7**5",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "London"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Berlin",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You plan to visit relatives in Krakow between day 1 and day 4. You would like to visit Riga for 5 days. You want to spend 7 days in Berlin. You would like to visit Naples for 5 days. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nKrakow and London, Naples and Berlin, Krakow and Berlin, London and Naples, London and Berlin, Berlin and Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You plan to visit relatives in Krakow between day 1 and day 4. You would like to visit Riga for 5 days. You want to spend 7 days in Berlin. You would like to visit Naples for 5 days. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to London, from Naples to Berlin, from Krakow to Berlin, from London to Naples, from London to Berlin, from Berlin to Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to London.\n**Day 4-6:** Visit London for 3 days.\n**Day 6:** Fly from London to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Berlin.\n**Day 10-16:** Visit Berlin for 7 days.\n**Day 16:** Fly from Berlin to Riga.\n**Day 16-20:** Visit Riga for 5 days.",
    "id": "trip_planning_example_462",
    "estimated_output_tokens": 2289,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Riga, Duration: 5 days.\n* City: Berlin, Duration: 7 days.\n* City: Naples, Duration: 5 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Berlin, Duration: 7 days.\n* City: Naples, Duration: 5 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Naples, London] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Naples, London] and explore these options in order.\n     |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Berlin to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Krakow, Berlin, Riga].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, London] and explore these options in order.\n       |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Riga to London.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Berlin to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Berlin to London.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from London to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Krakow, London, Berlin].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Naples] and explore these options in order.\n       |- Try arranging to visit Riga from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Berlin to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Krakow, London, Berlin, Riga].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n         |- Try arranging to visit Naples from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Berlin to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, London, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Berlin] and explore these options in order.\n       |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Naples to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Naples to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Krakow, London, Naples, Berlin].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Berlin to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Krakow, London, Naples, Berlin, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to London.\n**Day 4-6:** Visit London for 3 days.\n**Day 6:** Fly from London to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Berlin.\n**Day 10-16:** Visit Berlin for 7 days.\n**Day 16:** Fly from Berlin to Riga.\n**Day 16-20:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Rome**Reykjavik**Berlin**Porto",
    "ground_truth_durations": "3**4**4**4**2",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Porto"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dubrovnik. You plan to stay in Porto for 2 days. You want to spend 4 days in Rome. From day 3 to day 6, there is a annual show you want to attend in Rome. You would like to visit Reykjavik for 4 days. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nBerlin and Porto, Reykjavik and Berlin, Dubrovnik and Rome, Rome and Reykjavik, Rome and Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dubrovnik. You plan to stay in Porto for 2 days. You want to spend 4 days in Rome. From day 3 to day 6, there is a annual show you want to attend in Rome. You would like to visit Reykjavik for 4 days. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Porto, from Reykjavik to Berlin, from Dubrovnik to Rome, from Rome to Reykjavik, from Rome to Berlin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Porto.\n**Day 12-13:** Visit Porto for 2 days.",
    "id": "trip_planning_example_463",
    "estimated_output_tokens": 1282,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Reykjavik, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 3 - 6.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Reykjavik, Berlin] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 3 - 6).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Rome is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Rome, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Berlin] and explore these options in order.\n       |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Reykjavik to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Rome, Reykjavik, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Berlin to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Rome, Reykjavik, Berlin, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Dubrovnik**Frankfurt**Krakow**Oslo",
    "ground_truth_durations": "5**5**4**5**3",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Krakow. You plan to stay in Frankfurt for 4 days. You want to spend 3 days in Oslo. You plan to visit relatives in Oslo between day 16 and day 18. You plan to stay in Dubrovnik for 5 days. You would like to meet your friends at Dubrovnik between day 5 and day 9 to tour together. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nDubrovnik and Oslo, Frankfurt and Krakow, Frankfurt and Oslo, Dubrovnik and Frankfurt, Krakow and Oslo, Naples and Oslo, Naples and Dubrovnik, Naples and Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Krakow. You plan to stay in Frankfurt for 4 days. You want to spend 3 days in Oslo. You plan to visit relatives in Oslo between day 16 and day 18. You plan to stay in Dubrovnik for 5 days. You would like to meet your friends at Dubrovnik between day 5 and day 9 to tour together. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Oslo, from Frankfurt to Krakow, from Frankfurt to Oslo, from Dubrovnik to Frankfurt, from Krakow to Oslo, from Naples to Oslo, from Naples to Dubrovnik, from Naples to Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Frankfurt.\n**Day 9-12:** Visit Frankfurt for 4 days.\n**Day 12:** Fly from Frankfurt to Krakow.\n**Day 12-16:** Visit Krakow for 5 days.\n**Day 16:** Fly from Krakow to Oslo.\n**Day 16-18:** Visit Oslo for 3 days.",
    "id": "trip_planning_example_464",
    "estimated_output_tokens": 1968,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 5 - 9.\n* City: Oslo, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Frankfurt, Naples] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 9).\n |- The departure day of Krakow is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 9).\n |- The departure day of Frankfurt is Day 4. The arrival day of Dubrovnik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Naples] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Frankfurt to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 5 - 9).\n   |- The departure day of Krakow is Day 8. The arrival day of Dubrovnik is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Frankfurt to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 9).\n |- The departure day of Naples is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Naples to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 16 - 18).\n   |- The departure day of Dubrovnik is Day 9. The arrival day of Oslo is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Dubrovnik to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Dubrovnik to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 16 - 18).\n     |- The departure day of Frankfurt is Day 12. The arrival day of Oslo is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Dubrovnik, Frankfurt].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Frankfurt to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 16 - 18).\n       |- The departure day of Krakow is Day 16. The arrival day of Oslo is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Naples, Dubrovnik, Frankfurt, Krakow].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Krakow to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Naples, Dubrovnik, Frankfurt, Krakow, Oslo].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Frankfurt.\n**Day 9-12:** Visit Frankfurt for 4 days.\n**Day 12:** Fly from Frankfurt to Krakow.\n**Day 12-16:** Visit Krakow for 5 days.\n**Day 16:** Fly from Krakow to Oslo.\n**Day 16-18:** Visit Oslo for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Naples**Valencia**Madrid**Florence",
    "ground_truth_durations": "3**2**5**3**2",
    "num_cities": 5,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Naples",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You are going to attend a wedding in Valencia between day 4 and day 8. You plan to stay in Florence for 2 days. You want to spend 3 days in Nice. You would like to visit Naples for 2 days. During day 3 and day 4, you have to attend a conference in Naples. You plan to stay in Madrid for 3 days.\n\nHere are the cities that have direct flights:\nValencia and Madrid, Madrid and Florence, Naples and Valencia, Nice and Naples, Nice and Madrid, Naples and Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You are going to attend a wedding in Valencia between day 4 and day 8. You plan to stay in Florence for 2 days. You want to spend 3 days in Nice. You would like to visit Naples for 2 days. During day 3 and day 4, you have to attend a conference in Naples. You plan to stay in Madrid for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Madrid, from Madrid to Florence, from Naples to Valencia, from Nice to Naples, from Nice to Madrid, from Naples to Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 11 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Naples.\n**Day 3-4:** Visit Naples for 2 days.\n**Day 4:** Fly from Naples to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Madrid.\n**Day 8-10:** Visit Madrid for 3 days.\n**Day 10:** Fly from Madrid to Florence.\n**Day 10-11:** Visit Florence for 2 days.",
    "id": "trip_planning_example_465",
    "estimated_output_tokens": 1499,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Florence, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 3 - 4.\n* City: Valencia, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Nice, Madrid] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 4).\n |- The departure day of Florence is Day 2. The arrival day of Naples is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Madrid] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 4).\n |- The departure day of Nice is Day 3. The arrival day of Naples is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Nice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 4 - 8).\n   |- The departure day of Naples is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Nice, Naples].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Naples to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Naples, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Valencia to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Valencia to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Nice, Naples, Valencia, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Madrid to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Nice, Naples, Valencia, Madrid, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Naples.\n**Day 3-4:** Visit Naples for 2 days.\n**Day 4:** Fly from Naples to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Madrid.\n**Day 8-10:** Visit Madrid for 3 days.\n**Day 10:** Fly from Madrid to Florence.\n**Day 10-11:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Copenhagen**Dubrovnik**Munich**Lyon",
    "ground_truth_durations": "6**4**3**6**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You want to spend 6 days in Tallinn. You would like to meet your friends at Tallinn between day 1 and day 6 to tour together. You plan to stay in Munich for 6 days. You want to spend 3 days in Dubrovnik. You plan to stay in Lyon for 7 days.\n\nHere are the cities that have direct flights:\nTallinn and Munich, Dubrovnik and Munich, Tallinn and Copenhagen, Munich and Lyon, Copenhagen and Dubrovnik, Copenhagen and Munich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You want to spend 6 days in Tallinn. You would like to meet your friends at Tallinn between day 1 and day 6 to tour together. You plan to stay in Munich for 6 days. You want to spend 3 days in Dubrovnik. You plan to stay in Lyon for 7 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Munich, from Dubrovnik to Munich, from Tallinn to Copenhagen, from Munich to Lyon, from Copenhagen to Dubrovnik, from Copenhagen to Munich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.\n**Day 11:** Fly from Dubrovnik to Munich.\n**Day 11-16:** Visit Munich for 6 days.\n**Day 16:** Fly from Munich to Lyon.\n**Day 16-22:** Visit Lyon for 7 days.",
    "id": "trip_planning_example_466",
    "estimated_output_tokens": 1582,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Munich, Duration: 6 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lyon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Munich, Duration: 6 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Munich, Dubrovnik, Lyon] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Tallinn, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Lyon] and explore these options in order.\n     |- Try arranging to visit Munich from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Copenhagen to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Tallinn, Copenhagen, Munich].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Munich to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Tallinn, Copenhagen, Munich, Lyon].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n         |- Check for direct flight from Lyon to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Tallinn, Copenhagen, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Lyon] and explore these options in order.\n       |- Try arranging to visit Munich from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Dubrovnik to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Tallinn, Copenhagen, Dubrovnik, Munich].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Munich to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Tallinn, Copenhagen, Dubrovnik, Munich, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.\n**Day 11:** Fly from Dubrovnik to Munich.\n**Day 11-16:** Visit Munich for 6 days.\n**Day 16:** Fly from Munich to Lyon.\n**Day 16-22:** Visit Lyon for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Amsterdam**Edinburgh**Riga**Tallinn",
    "ground_truth_durations": "5**5**7**2**5",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 2 days. You plan to stay in Tallinn for 5 days. You would like to visit Amsterdam for 5 days. You want to spend 5 days in Florence. You have to attend a workshop in Florence between day 1 and day 5. You would like to visit Edinburgh for 7 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Tallinn, Florence and Amsterdam, Edinburgh and Riga, from Riga to Tallinn, Amsterdam and Riga, Amsterdam and Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 2 days. You plan to stay in Tallinn for 5 days. You would like to visit Amsterdam for 5 days. You want to spend 5 days in Florence. You have to attend a workshop in Florence between day 1 and day 5. You would like to visit Edinburgh for 7 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Tallinn, from Florence to Amsterdam, from Edinburgh to Riga, from Riga to Tallinn, from Amsterdam to Riga, from Amsterdam to Edinburgh.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Edinburgh.\n**Day 9-15:** Visit Edinburgh for 7 days.\n**Day 15:** Fly from Edinburgh to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_467",
    "estimated_output_tokens": 1929,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Edinburgh, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Edinburgh, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Amsterdam, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Florence to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Amsterdam, Riga].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Florence, Amsterdam, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n         |- Check for direct flight from Tallinn to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Riga to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Tallinn to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Amsterdam to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Florence, Amsterdam, Edinburgh].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n       |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Florence, Amsterdam, Edinburgh, Riga].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Florence, Amsterdam, Edinburgh, Riga, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Edinburgh.\n**Day 9-15:** Visit Edinburgh for 7 days.\n**Day 15:** Fly from Edinburgh to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Reykjavik**Oslo**Riga**Tallinn",
    "ground_truth_durations": "5**6**5**7**5",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Tallinn"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "London",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You would like to visit London for 5 days. You plan to stay in Oslo for 5 days. From day 10 to day 14, there is a annual show you want to attend in Oslo. You want to spend 7 days in Riga. You would like to visit Reykjavik for 6 days. You plan to visit relatives in Reykjavik between day 5 and day 10.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, London and Oslo, Reykjavik and Oslo, Oslo and Riga, Oslo and Tallinn, London and Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You would like to visit London for 5 days. You plan to stay in Oslo for 5 days. From day 10 to day 14, there is a annual show you want to attend in Oslo. You want to spend 7 days in Riga. You would like to visit Reykjavik for 6 days. You plan to visit relatives in Reykjavik between day 5 and day 10.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, from London to Oslo, from Reykjavik to Oslo, from Oslo to Riga, from Oslo to Tallinn, from London to Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Reykjavik.\n**Day 5-10:** Visit Reykjavik for 6 days.\n**Day 10:** Fly from Reykjavik to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-20:** Visit Riga for 7 days.\n**Day 20:** Fly from Riga to Tallinn.\n**Day 20-24:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_468",
    "estimated_output_tokens": 1721,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Riga, Duration: 7 days.\n* City: Reykjavik, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 10.\n* City: Oslo, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Riga, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, London, Riga] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 10).\n |- The departure day of Tallinn is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Tallinn to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 10).\n |- The departure day of London is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 10 - 14).\n   |- The departure day of Reykjavik is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Reykjavik to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [London, Reykjavik, Oslo].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Oslo to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [London, Reykjavik, Oslo, Tallinn].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n         |- Check for direct flight from Tallinn to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Oslo to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [London, Reykjavik, Oslo, Riga].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [London, Reykjavik, Oslo, Riga, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Reykjavik.\n**Day 5-10:** Visit Reykjavik for 6 days.\n**Day 10:** Fly from Reykjavik to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-20:** Visit Riga for 7 days.\n**Day 20:** Fly from Riga to Tallinn.\n**Day 20-24:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**London**Krakow**Valencia**Seville",
    "ground_truth_durations": "6**4**3**3**5",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Krakow"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "London",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to meet your friends at Valencia between day 11 and day 13 to tour together. You want to spend 5 days in Seville. You would like to visit London for 4 days. You plan to stay in Nice for 6 days. You are going to attend a wedding in Nice between day 1 and day 6. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nLondon and Krakow, Valencia and Seville, Krakow and Valencia, Nice and London, London and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to meet your friends at Valencia between day 11 and day 13 to tour together. You want to spend 5 days in Seville. You would like to visit London for 4 days. You plan to stay in Nice for 6 days. You are going to attend a wedding in Nice between day 1 and day 6. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom London to Krakow, from Valencia to Seville, from Krakow to Valencia, from Nice to London, from London to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n**Day 13:** Fly from Valencia to Seville.\n**Day 13-17:** Visit Seville for 5 days.",
    "id": "trip_planning_example_469",
    "estimated_output_tokens": 1313,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Seville, Duration: 5 days.\n* City: London, Duration: 4 days.\n* City: Nice, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: London, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 11 - 13).\n |- The departure day of Nice is Day 6. The arrival day of Valencia is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, London, Krakow] and explore these options in order.\n   |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Nice to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Nice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 11 - 13).\n   |- The departure day of London is Day 9. The arrival day of Valencia is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Krakow] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 11 - 13).\n     |- The departure day of Krakow is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, London, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, London, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Valencia to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Nice, London, Krakow, Valencia, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Nice and visit Nice for 6 days.\n**Day 6:** Fly from Nice to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n**Day 13:** Fly from Valencia to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**London**Stuttgart**Valencia**Bucharest",
    "ground_truth_durations": "7**7**2**3**5",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Manchester",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You have to attend a workshop in Stuttgart between day 13 and day 14. You would like to visit London for 7 days. You want to spend 7 days in Manchester. You plan to visit relatives in Manchester between day 1 and day 7. You plan to stay in Valencia for 3 days. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nManchester and Bucharest, Stuttgart and Valencia, London and Stuttgart, Valencia and Bucharest, London and Valencia, Manchester and London, London and Bucharest, Manchester and Stuttgart.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You have to attend a workshop in Stuttgart between day 13 and day 14. You would like to visit London for 7 days. You want to spend 7 days in Manchester. You plan to visit relatives in Manchester between day 1 and day 7. You plan to stay in Valencia for 3 days. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Bucharest, from Stuttgart to Valencia, from London to Stuttgart, from Valencia to Bucharest, from London to Valencia, from Manchester to London, from London to Bucharest, from Manchester to Stuttgart.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to London.\n**Day 7-13:** Visit London for 7 days.\n**Day 13:** Fly from London to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_470",
    "estimated_output_tokens": 1169,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: London, Duration: 7 days.\n* City: Manchester, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 7.\n* City: Stuttgart, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: London, Duration: 7 days.\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 13 - 14).\n |- The departure day of Manchester is Day 7. The arrival day of Stuttgart is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Valencia, Bucharest] and explore these options in order.\n   |- Try arranging to visit London from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Manchester to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 13 - 14).\n   |- The departure day of London is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Manchester, London].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n     |- Check for direct flight from London to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Manchester, London, Stuttgart].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Stuttgart to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Manchester, London, Stuttgart, Valencia].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Manchester, London, Stuttgart, Valencia, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Manchester and visit Manchester for 7 days.\n**Day 7:** Fly from Manchester to London.\n**Day 7-13:** Visit London for 7 days.\n**Day 13:** Fly from London to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Milan**Vilnius**Helsinki**Dubrovnik",
    "ground_truth_durations": "7**4**2**5**2",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 7 and day 10 to tour together. You would like to visit Dubrovnik for 2 days. You plan to stay in Helsinki for 5 days. You want to spend 7 days in Oslo. You want to meet a friend in Oslo between day 1 and day 7. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nMilan and Vilnius, Oslo and Vilnius, Vilnius and Helsinki, Helsinki and Dubrovnik, Oslo and Helsinki, Milan and Helsinki, Oslo and Dubrovnik, Oslo and Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 7 and day 10 to tour together. You would like to visit Dubrovnik for 2 days. You plan to stay in Helsinki for 5 days. You want to spend 7 days in Oslo. You want to meet a friend in Oslo between day 1 and day 7. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Vilnius, from Oslo to Vilnius, from Vilnius to Helsinki, from Helsinki to Dubrovnik, from Oslo to Helsinki, from Milan to Helsinki, from Oslo to Dubrovnik, from Oslo to Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_471",
    "estimated_output_tokens": 1733,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Dubrovnik, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Oslo, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 7.\n* City: Milan, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 10).\n |- The departure day of Oslo is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Oslo to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Oslo, Milan].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki, Vilnius] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Milan to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Oslo, Milan, Helsinki].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Helsinki to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Oslo, Milan, Helsinki, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Dubrovnik to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Milan to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Oslo, Milan, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Vilnius to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Oslo, Milan, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Oslo, Milan, Vilnius, Helsinki, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Oslo and visit Oslo for 7 days.\n**Day 7:** Fly from Oslo to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Valencia**Bucharest**Zurich**Dubrovnik",
    "ground_truth_durations": "4**4**2**4**7",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Dubrovnik. You want to spend 4 days in Stuttgart. You plan to stay in Zurich for 4 days. You plan to visit relatives in Zurich between day 8 and day 11. You would like to visit Valencia for 4 days. You have to attend a workshop in Valencia between day 4 and day 7. You plan to stay in Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and Valencia, Zurich and Dubrovnik, Valencia and Zurich, Valencia and Bucharest, Bucharest and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Dubrovnik. You want to spend 4 days in Stuttgart. You plan to stay in Zurich for 4 days. You plan to visit relatives in Zurich between day 8 and day 11. You would like to visit Valencia for 4 days. You have to attend a workshop in Valencia between day 4 and day 7. You plan to stay in Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Valencia, from Zurich to Dubrovnik, from Valencia to Zurich, from Valencia to Bucharest, from Bucharest to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Valencia.\n**Day 4-7:** Visit Valencia for 4 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Zurich.\n**Day 8-11:** Visit Zurich for 4 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-17:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_472",
    "estimated_output_tokens": 1397,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 4 - 7.\n* City: Zurich, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 7 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Stuttgart, Bucharest] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 7).\n |- The departure day of Dubrovnik is Day 7. The arrival day of Valencia is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 7).\n |- The departure day of Stuttgart is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 8 - 11).\n   |- The departure day of Valencia is Day 7. The arrival day of Zurich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Bucharest] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 8 - 11).\n     |- The departure day of Bucharest is Day 8. The arrival day of Zurich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Valencia, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, Valencia, Bucharest, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Stuttgart, Valencia, Bucharest, Zurich, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Valencia.\n**Day 4-7:** Visit Valencia for 4 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Zurich.\n**Day 8-11:** Visit Zurich for 4 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-17:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Lisbon**Stuttgart**Athens**Vilnius",
    "ground_truth_durations": "2**3**7**5**2",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Naples",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You plan to stay in Vilnius for 2 days. You want to spend 2 days in Naples. During day 1 and day 2, you have to attend a conference in Naples. You want to spend 7 days in Stuttgart. You would like to visit Lisbon for 3 days. You are going to attend a wedding in Lisbon between day 2 and day 4.\n\nHere are the cities that have direct flights:\nLisbon and Athens, Lisbon and Stuttgart, Stuttgart and Athens, Athens and Vilnius, Naples and Stuttgart, Naples and Lisbon, Naples and Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You plan to stay in Vilnius for 2 days. You want to spend 2 days in Naples. During day 1 and day 2, you have to attend a conference in Naples. You want to spend 7 days in Stuttgart. You would like to visit Lisbon for 3 days. You are going to attend a wedding in Lisbon between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Athens, from Lisbon to Stuttgart, from Stuttgart to Athens, from Athens to Vilnius, from Naples to Stuttgart, from Naples to Lisbon, from Naples to Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Lisbon.\n**Day 2-4:** Visit Lisbon for 3 days.\n**Day 4:** Fly from Lisbon to Stuttgart.\n**Day 4-10:** Visit Stuttgart for 7 days.\n**Day 10:** Fly from Stuttgart to Athens.\n**Day 10-14:** Visit Athens for 5 days.\n**Day 14:** Fly from Athens to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_473",
    "estimated_output_tokens": 1656,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stuttgart, Duration: 7 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Stuttgart, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 4).\n |- The departure day of Naples is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Lisbon to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Lisbon, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Lisbon, Athens, Vilnius].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n         |- Check for direct flight from Vilnius to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Athens to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lisbon to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Lisbon, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius] and explore these options in order.\n       |- Try arranging to visit Athens from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stuttgart to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Naples, Lisbon, Stuttgart, Athens].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Athens to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Naples, Lisbon, Stuttgart, Athens, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Lisbon.\n**Day 2-4:** Visit Lisbon for 3 days.\n**Day 4:** Fly from Lisbon to Stuttgart.\n**Day 4-10:** Visit Stuttgart for 7 days.\n**Day 10:** Fly from Stuttgart to Athens.\n**Day 10-14:** Visit Athens for 5 days.\n**Day 14:** Fly from Athens to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Venice**Lisbon**Copenhagen**Dubrovnik",
    "ground_truth_durations": "6**6**2**4**7",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You plan to stay in Naples for 6 days. You want to meet a friend in Naples between day 1 and day 6. You want to spend 6 days in Venice. You would like to visit Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 11 and day 12. You plan to stay in Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nVenice and Copenhagen, Naples and Copenhagen, Venice and Lisbon, Copenhagen and Dubrovnik, Naples and Lisbon, Lisbon and Copenhagen, Naples and Dubrovnik, Naples and Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Copenhagen. You plan to stay in Naples for 6 days. You want to meet a friend in Naples between day 1 and day 6. You want to spend 6 days in Venice. You would like to visit Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 11 and day 12. You plan to stay in Dubrovnik for 7 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Copenhagen, from Naples to Copenhagen, from Venice to Lisbon, from Copenhagen to Dubrovnik, from Naples to Lisbon, from Lisbon to Copenhagen, from Naples to Dubrovnik, from Naples to Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-6:** Arriving in Naples and visit Naples for 6 days.\n**Day 6:** Fly from Naples to Venice.\n**Day 6-11:** Visit Venice for 6 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Copenhagen.\n**Day 12-15:** Visit Copenhagen for 4 days.\n**Day 15:** Fly from Copenhagen to Dubrovnik.\n**Day 15-21:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_474",
    "estimated_output_tokens": 1564,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days.\n* City: Naples, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Venice, Duration: 6 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Dubrovnik, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 6.\n* City: Lisbon, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Venice, Duration: 6 days.\n* City: Dubrovnik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 11 - 12).\n |- The departure day of Naples is Day 6. The arrival day of Lisbon is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Naples to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 11 - 12).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Lisbon is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Venice from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Copenhagen to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 11 - 12).\n     |- The departure day of Dubrovnik is Day 15. The arrival day of Lisbon is Day 11. Day 15 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Naples to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 11 - 12).\n   |- The departure day of Venice is Day 11. The arrival day of Lisbon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Naples, Venice].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Lisbon to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Naples, Venice, Lisbon, Copenhagen].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Naples, Venice, Lisbon, Copenhagen, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Naples and visit Naples for 6 days.\n**Day 6:** Fly from Naples to Venice.\n**Day 6-11:** Visit Venice for 6 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Copenhagen.\n**Day 12-15:** Visit Copenhagen for 4 days.\n**Day 15:** Fly from Copenhagen to Dubrovnik.\n**Day 15-21:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**London**Venice**Stuttgart",
    "ground_truth_durations": "7**2**4**2**2",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Venice"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Split",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 12 and day 13. You plan to stay in Vilnius for 7 days. You want to spend 4 days in London. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Venice, Vilnius and Split, Split and Stuttgart, Venice and Stuttgart, London and Stuttgart, Split and London.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 12 and day 13. You plan to stay in Vilnius for 7 days. You want to spend 4 days in London. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Venice, from Vilnius to Split, from Split to Stuttgart, from Venice to Stuttgart, from London to Stuttgart, from Split to London.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to London.\n**Day 8-11:** Visit London for 4 days.\n**Day 11:** Fly from London to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_475",
    "estimated_output_tokens": 1752,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Vilnius, Duration: 7 days.\n* City: London, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Vilnius, Duration: 7 days.\n* City: London, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Vilnius, London, Split] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 12 - 13).\n |- The departure day of Venice is Day 2. The arrival day of Stuttgart is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, London, Split] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Venice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 12 - 13).\n |- The departure day of Vilnius is Day 7. The arrival day of Stuttgart is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, London, Split] and explore these options in order.\n   |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vilnius to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 12 - 13).\n   |- The departure day of Split is Day 8. The arrival day of Stuttgart is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, London] and explore these options in order.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Split to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Split to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 12 - 13).\n     |- The departure day of London is Day 11. The arrival day of Stuttgart is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Split, London].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from London to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 12 - 13).\n       |- The departure day of Venice is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vilnius, Split, London, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Split, London, Venice, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to London.\n**Day 8-11:** Visit London for 4 days.\n**Day 11:** Fly from London to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Edinburgh**Helsinki**Vilnius**Split",
    "ground_truth_durations": "5**6**5**4**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 14 and day 17. You want to spend 6 days in Edinburgh. You want to spend 5 days in Split. You want to spend 5 days in Helsinki. You would like to visit Dublin for 5 days. During day 1 and day 5, you have to attend a conference in Dublin.\n\nHere are the cities that have direct flights:\nDublin and Helsinki, Edinburgh and Helsinki, Helsinki and Vilnius, Dublin and Edinburgh, Vilnius and Split, Dublin and Split, Helsinki and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 14 and day 17. You want to spend 6 days in Edinburgh. You want to spend 5 days in Split. You want to spend 5 days in Helsinki. You would like to visit Dublin for 5 days. During day 1 and day 5, you have to attend a conference in Dublin.\n\nHere are the cities that have direct flights:\nfrom Dublin to Helsinki, from Edinburgh to Helsinki, from Helsinki to Vilnius, from Dublin to Edinburgh, from Vilnius to Split, from Dublin to Split, from Helsinki to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Edinburgh.\n**Day 5-10:** Visit Edinburgh for 6 days.\n**Day 10:** Fly from Edinburgh to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Split.\n**Day 17-21:** Visit Split for 5 days.",
    "id": "trip_planning_example_476",
    "estimated_output_tokens": 1279,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Edinburgh, Duration: 6 days.\n* City: Split, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 6 days.\n* City: Split, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 14 - 17).\n |- The departure day of Dublin is Day 5. The arrival day of Vilnius is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Split, Helsinki] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Dublin to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 14 - 17).\n   |- The departure day of Edinburgh is Day 10. The arrival day of Vilnius is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Dublin, Edinburgh].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Helsinki] and explore these options in order.\n     |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Edinburgh to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Edinburgh to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 14 - 17).\n     |- The departure day of Helsinki is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Dublin, Edinburgh, Helsinki].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Dublin, Edinburgh, Helsinki, Vilnius].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Dublin, Edinburgh, Helsinki, Vilnius, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Edinburgh.\n**Day 5-10:** Visit Edinburgh for 6 days.\n**Day 10:** Fly from Edinburgh to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Split.\n**Day 17-21:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Istanbul**Porto**Barcelona**Dubrovnik",
    "ground_truth_durations": "7**2**4**6**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Vilnius. You would like to visit Porto for 4 days. You plan to visit relatives in Porto between day 8 and day 11. You would like to visit Istanbul for 2 days. During day 7 and day 8, you have to attend a conference in Istanbul. You plan to stay in Barcelona for 6 days. You want to spend 6 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nIstanbul and Barcelona, Istanbul and Porto, Porto and Barcelona, from Dubrovnik to Istanbul, Vilnius and Istanbul, Barcelona and Dubrovnik.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Vilnius. You would like to visit Porto for 4 days. You plan to visit relatives in Porto between day 8 and day 11. You would like to visit Istanbul for 2 days. During day 7 and day 8, you have to attend a conference in Istanbul. You plan to stay in Barcelona for 6 days. You want to spend 6 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Barcelona, from Istanbul to Porto, from Porto to Barcelona, from Dubrovnik to Istanbul, from Vilnius to Istanbul, from Barcelona to Dubrovnik.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Barcelona.\n**Day 11-16:** Visit Barcelona for 6 days.\n**Day 16:** Fly from Barcelona to Dubrovnik.\n**Day 16-21:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_477",
    "estimated_output_tokens": 1214,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 7 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Barcelona, Duration: 6 days.\n* City: Dubrovnik, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 7 - 8.\n* City: Porto, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 7 days.\n* City: Barcelona, Duration: 6 days.\n* City: Dubrovnik, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 7 - 8).\n |- The departure day of Vilnius is Day 7. The arrival day of Istanbul is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vilnius to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 8 - 11).\n   |- The departure day of Istanbul is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Istanbul to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Istanbul, Porto].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Porto to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Vilnius, Istanbul, Porto, Barcelona].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Barcelona to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Vilnius, Istanbul, Porto, Barcelona, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Barcelona.\n**Day 11-16:** Visit Barcelona for 6 days.\n**Day 16:** Fly from Barcelona to Dubrovnik.\n**Day 16-21:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Oslo**Tallinn**Paris**Stuttgart",
    "ground_truth_durations": "5**4**5**4**4",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "London",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 4 days. You plan to visit relatives in Oslo between day 5 and day 8. You would like to visit Stuttgart for 4 days. You want to spend 5 days in Tallinn. From day 8 to day 12, there is a annual show you want to attend in Tallinn. You would like to visit London for 5 days. You would like to visit Paris for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Tallinn, Paris and Stuttgart, London and Paris, Oslo and Paris, Tallinn and Paris, London and Stuttgart, London and Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 4 days. You plan to visit relatives in Oslo between day 5 and day 8. You would like to visit Stuttgart for 4 days. You want to spend 5 days in Tallinn. From day 8 to day 12, there is a annual show you want to attend in Tallinn. You would like to visit London for 5 days. You would like to visit Paris for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Tallinn, from Paris to Stuttgart, from London to Paris, from Oslo to Paris, from Tallinn to Paris, from London to Stuttgart, from London to Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Paris.\n**Day 12-15:** Visit Paris for 4 days.\n**Day 15:** Fly from Paris to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_478",
    "estimated_output_tokens": 1514,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Stuttgart, Duration: 4 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: London, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: London, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, London, Paris] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 8).\n |- The departure day of Stuttgart is Day 4. The arrival day of Oslo is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Paris] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 8).\n |- The departure day of London is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from London to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 12).\n   |- The departure day of Oslo is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Oslo to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [London, Oslo, Tallinn].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Paris] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Tallinn to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Tallinn to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [London, Oslo, Tallinn, Paris].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Paris to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [London, Oslo, Tallinn, Paris, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Paris.\n**Day 12-15:** Visit Paris for 4 days.\n**Day 15:** Fly from Paris to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Warsaw**Tallinn**Dublin**Seville",
    "ground_truth_durations": "7**4**5**4**4",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. From day 14 to day 17, there is a annual show you want to attend in Dublin. You plan to stay in Warsaw for 4 days. You would like to visit Seville for 4 days. You want to spend 7 days in Budapest. You would like to meet your friends at Budapest between day 1 and day 7 to tour together. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nWarsaw and Tallinn, Budapest and Dublin, Dublin and Seville, Budapest and Warsaw, Tallinn and Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. From day 14 to day 17, there is a annual show you want to attend in Dublin. You plan to stay in Warsaw for 4 days. You would like to visit Seville for 4 days. You want to spend 7 days in Budapest. You would like to meet your friends at Budapest between day 1 and day 7 to tour together. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Tallinn, from Budapest to Dublin, from Dublin to Seville, from Budapest to Warsaw, from Tallinn to Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-7:** Arriving in Budapest and visit Budapest for 7 days.\n**Day 7:** Fly from Budapest to Warsaw.\n**Day 7-10:** Visit Warsaw for 4 days.\n**Day 10:** Fly from Warsaw to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-17:** Visit Dublin for 4 days.\n**Day 17:** Fly from Dublin to Seville.\n**Day 17-20:** Visit Seville for 4 days.",
    "id": "trip_planning_example_479",
    "estimated_output_tokens": 1276,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Warsaw, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Budapest, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 7.\n* City: Dublin, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 14 - 17).\n |- The departure day of Budapest is Day 7. The arrival day of Dublin is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Seville, Tallinn] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Budapest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 14 - 17).\n   |- The departure day of Warsaw is Day 10. The arrival day of Dublin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Budapest, Warsaw].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Tallinn] and explore these options in order.\n     |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Warsaw to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Warsaw to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 14 - 17).\n     |- The departure day of Tallinn is Day 14. The arrival day of Dublin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Budapest, Warsaw, Tallinn].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Tallinn to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Budapest, Warsaw, Tallinn, Dublin].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Dublin to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Budapest, Warsaw, Tallinn, Dublin, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Budapest and visit Budapest for 7 days.\n**Day 7:** Fly from Budapest to Warsaw.\n**Day 7-10:** Visit Warsaw for 4 days.\n**Day 10:** Fly from Warsaw to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-17:** Visit Dublin for 4 days.\n**Day 17:** Fly from Dublin to Seville.\n**Day 17-20:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**London**Milan**Amsterdam**Dubrovnik",
    "ground_truth_durations": "5**5**6**4**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 9,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "London",
        "Milan"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "London",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You plan to stay in Dubrovnik for 5 days. You would like to visit Amsterdam for 4 days. You would like to visit London for 5 days. You have to attend a workshop in London between day 5 and day 9. You plan to stay in Milan for 6 days. You plan to visit relatives in Milan between day 9 and day 14.\n\nHere are the cities that have direct flights:\nLondon and Milan, Reykjavik and Amsterdam, Reykjavik and London, Amsterdam and Dubrovnik, Milan and Amsterdam, Reykjavik and Milan, London and Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You plan to stay in Dubrovnik for 5 days. You would like to visit Amsterdam for 4 days. You would like to visit London for 5 days. You have to attend a workshop in London between day 5 and day 9. You plan to stay in Milan for 6 days. You plan to visit relatives in Milan between day 9 and day 14.\n\nHere are the cities that have direct flights:\nfrom London to Milan, from Reykjavik to Amsterdam, from Reykjavik to London, from Amsterdam to Dubrovnik, from Milan to Amsterdam, from Reykjavik to Milan, from London to Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-14:** Visit Milan for 6 days.\n**Day 14:** Fly from Milan to Amsterdam.\n**Day 14-17:** Visit Amsterdam for 4 days.\n**Day 17:** Fly from Amsterdam to Dubrovnik.\n**Day 17-21:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_480",
    "estimated_output_tokens": 1272,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Milan, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 9.\n* City: Milan, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Dubrovnik, Amsterdam] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 9).\n |- The departure day of Reykjavik is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Reykjavik to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 9 - 14).\n   |- The departure day of London is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Reykjavik, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from London to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Reykjavik, London, Milan].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Milan to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Reykjavik, London, Milan, Amsterdam].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Reykjavik, London, Milan, Amsterdam, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-14:** Visit Milan for 6 days.\n**Day 14:** Fly from Milan to Amsterdam.\n**Day 14-17:** Visit Amsterdam for 4 days.\n**Day 17:** Fly from Amsterdam to Dubrovnik.\n**Day 17-21:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Madrid**Mykonos**Naples**Manchester",
    "ground_truth_durations": "5**6**6**5**5",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Madrid",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 6 days. You want to meet a friend in Madrid between day 5 and day 10. You want to spend 6 days in Mykonos. You plan to stay in Manchester for 5 days. During day 19 and day 23, you have to attend a conference in Manchester. You want to spend 5 days in Reykjavik. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, Mykonos and Naples, Madrid and Naples, Naples and Manchester, Madrid and Mykonos, Madrid and Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 6 days. You want to meet a friend in Madrid between day 5 and day 10. You want to spend 6 days in Mykonos. You plan to stay in Manchester for 5 days. During day 19 and day 23, you have to attend a conference in Manchester. You want to spend 5 days in Reykjavik. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, from Mykonos to Naples, from Madrid to Naples, from Naples to Manchester, from Madrid to Mykonos, from Madrid to Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-15:** Visit Mykonos for 6 days.\n**Day 15:** Fly from Mykonos to Naples.\n**Day 15-19:** Visit Naples for 5 days.\n**Day 19:** Fly from Naples to Manchester.\n**Day 19-23:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_481",
    "estimated_output_tokens": 1419,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Mykonos, Duration: 6 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Reykjavik, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 5 - 10.\n* City: Manchester, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 6 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Reykjavik, Naples] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 10).\n |- The departure day of Mykonos is Day 6. The arrival day of Madrid is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 10).\n |- The departure day of Reykjavik is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Reykjavik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 19 - 23).\n   |- The departure day of Madrid is Day 10. The arrival day of Manchester is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Reykjavik, Madrid].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Naples] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Madrid to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 19 - 23).\n     |- The departure day of Mykonos is Day 15. The arrival day of Manchester is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Reykjavik, Madrid, Mykonos].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n       |- Try arranging to visit Naples from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Mykonos to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 19 - 23).\n       |- The departure day of Naples is Day 19. The arrival day of Manchester is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Reykjavik, Madrid, Mykonos, Naples].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Naples to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Reykjavik, Madrid, Mykonos, Naples, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Mykonos.\n**Day 10-15:** Visit Mykonos for 6 days.\n**Day 15:** Fly from Mykonos to Naples.\n**Day 15-19:** Visit Naples for 5 days.\n**Day 19:** Fly from Naples to Manchester.\n**Day 19-23:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Venice**Edinburgh**Prague**Valencia",
    "ground_truth_durations": "4**2**2**6**4",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 6,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You would like to visit Venice for 2 days. You plan to stay in Prague for 6 days. You would like to meet your friends at Prague between day 6 and day 11 to tour together. You want to spend 4 days in Valencia. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4.\n\nHere are the cities that have direct flights:\nCopenhagen and Venice, Prague and Valencia, Venice and Edinburgh, Copenhagen and Prague, Copenhagen and Valencia, Edinburgh and Prague, Copenhagen and Edinburgh.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You would like to visit Venice for 2 days. You plan to stay in Prague for 6 days. You would like to meet your friends at Prague between day 6 and day 11 to tour together. You want to spend 4 days in Valencia. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Venice, from Prague to Valencia, from Venice to Edinburgh, from Copenhagen to Prague, from Copenhagen to Valencia, from Edinburgh to Prague, from Copenhagen to Edinburgh.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Prague.\n**Day 6-11:** Visit Prague for 6 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_482",
    "estimated_output_tokens": 1501,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Prague, Duration: 6 days, Fixed Schedule: Day 6 - 11.\n* City: Valencia, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 6 - 11.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 11).\n |- The departure day of Copenhagen is Day 4. The arrival day of Prague is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Venice, Valencia] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Copenhagen to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 11).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Prague is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Valencia] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Edinburgh to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Copenhagen to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 11).\n   |- The departure day of Venice is Day 5. The arrival day of Prague is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Valencia] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 6 - 11).\n     |- The departure day of Edinburgh is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Copenhagen, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n       |- Check for direct flight from Edinburgh to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Venice, Edinburgh, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Prague to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Venice, Edinburgh, Prague, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Prague.\n**Day 6-11:** Visit Prague for 6 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Munich**Lyon**Split**Frankfurt",
    "ground_truth_durations": "4**4**2**3**3",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Split"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 10 and day 12. You plan to stay in Lyon for 2 days. You are going to attend a wedding in Lyon between day 7 and day 8. You would like to visit Split for 3 days. You plan to stay in Munich for 4 days. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nLyon and Split, from Riga to Munich, Munich and Lyon, Riga and Frankfurt, Munich and Split, Munich and Frankfurt, Split and Frankfurt, Lyon and Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 10 and day 12. You plan to stay in Lyon for 2 days. You are going to attend a wedding in Lyon between day 7 and day 8. You would like to visit Split for 3 days. You plan to stay in Munich for 4 days. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Split, from Riga to Munich, from Munich to Lyon, from Riga to Frankfurt, from Munich to Split, from Munich to Frankfurt, from Split to Frankfurt, from Lyon to Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Lyon.\n**Day 7-8:** Visit Lyon for 2 days.\n**Day 8:** Fly from Lyon to Split.\n**Day 8-10:** Visit Split for 3 days.\n**Day 10:** Fly from Split to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_483",
    "estimated_output_tokens": 2094,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Split, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 7 - 8.\n* City: Frankfurt, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Munich, Riga] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 8).\n |- The departure day of Split is Day 3. The arrival day of Lyon is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Riga] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 8).\n |- The departure day of Munich is Day 4. The arrival day of Lyon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Riga] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Munich to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 7 - 8).\n   |- The departure day of Split is Day 6. The arrival day of Lyon is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Split to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 8).\n |- The departure day of Riga is Day 4. The arrival day of Lyon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Munich] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 7 - 8).\n   |- The departure day of Munich is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 10 - 12).\n     |- The departure day of Lyon is Day 8. The arrival day of Frankfurt is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Munich, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lyon to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 10 - 12).\n       |- The departure day of Split is Day 10. The arrival day of Frankfurt is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Munich, Lyon, Split].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Split to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Riga, Munich, Lyon, Split, Frankfurt].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Lyon.\n**Day 7-8:** Visit Lyon for 2 days.\n**Day 8:** Fly from Lyon to Split.\n**Day 8-10:** Visit Split for 3 days.\n**Day 10:** Fly from Split to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Porto**Geneva**Paris**Reykjavik",
    "ground_truth_durations": "6**6**4**3**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 3 days. You want to spend 6 days in Stuttgart. During day 1 and day 6, you have to attend a conference in Stuttgart. You would like to visit Reykjavik for 6 days. You would like to visit Geneva for 4 days. You want to spend 6 days in Porto.\n\nHere are the cities that have direct flights:\nPorto and Geneva, Stuttgart and Paris, Porto and Paris, Paris and Reykjavik, Geneva and Paris, Stuttgart and Porto, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 3 days. You want to spend 6 days in Stuttgart. During day 1 and day 6, you have to attend a conference in Stuttgart. You would like to visit Reykjavik for 6 days. You would like to visit Geneva for 4 days. You want to spend 6 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Porto to Geneva, from Stuttgart to Paris, from Porto to Paris, from Paris to Reykjavik, from Geneva to Paris, from Stuttgart to Porto, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Porto.\n**Day 6-11:** Visit Porto for 6 days.\n**Day 11:** Fly from Porto to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Reykjavik.\n**Day 16-21:** Visit Reykjavik for 6 days.",
    "id": "trip_planning_example_484",
    "estimated_output_tokens": 2270,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Reykjavik, Duration: 6 days.\n* City: Geneva, Duration: 4 days.\n* City: Porto, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Reykjavik, Duration: 6 days.\n* City: Geneva, Duration: 4 days.\n* City: Porto, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Reykjavik, Geneva, Porto] and explore these options in order.\n   |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Stuttgart to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva, Porto] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Stuttgart, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Porto] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Reykjavik to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Reykjavik to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Paris to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Paris to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Stuttgart to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Stuttgart to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Stuttgart to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Stuttgart, Porto].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Reykjavik, Geneva] and explore these options in order.\n     |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Porto to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Stuttgart, Porto, Paris].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Stuttgart, Porto, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n         |- Check for direct flight from Reykjavik to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Paris to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Porto to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Porto to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Stuttgart, Porto, Geneva].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Paris from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Geneva to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Stuttgart, Porto, Geneva, Paris].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Paris to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Stuttgart, Porto, Geneva, Paris, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Stuttgart and visit Stuttgart for 6 days.\n**Day 6:** Fly from Stuttgart to Porto.\n**Day 6-11:** Visit Porto for 6 days.\n**Day 11:** Fly from Porto to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Reykjavik.\n**Day 16-21:** Visit Reykjavik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Athens**Istanbul**Venice**Hamburg",
    "ground_truth_durations": "6**2**2**7**5",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Athens",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. You are going to attend a wedding in Venice between day 8 and day 14. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 14 and day 18. You would like to visit Athens for 2 days. You plan to stay in Istanbul for 2 days. You want to spend 6 days in Reykjavik.\n\nHere are the cities that have direct flights:\nVenice and Hamburg, Athens and Hamburg, Istanbul and Hamburg, Istanbul and Venice, from Reykjavik to Athens, Athens and Istanbul, Athens and Venice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Venice. You are going to attend a wedding in Venice between day 8 and day 14. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 14 and day 18. You would like to visit Athens for 2 days. You plan to stay in Istanbul for 2 days. You want to spend 6 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Venice to Hamburg, from Athens to Hamburg, from Istanbul to Hamburg, from Istanbul to Venice, from Reykjavik to Athens, from Athens to Istanbul, from Athens to Venice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Venice.\n**Day 8-14:** Visit Venice for 7 days.\n**Day 14:** Fly from Venice to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.",
    "id": "trip_planning_example_485",
    "estimated_output_tokens": 2097,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Athens, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Reykjavik, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 14.\n* City: Hamburg, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Reykjavik, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Istanbul, Reykjavik] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Athens is Day 2. The arrival day of Venice is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Athens to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 8 - 14).\n   |- The departure day of Istanbul is Day 3. The arrival day of Venice is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Athens, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Istanbul to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Athens to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Istanbul is Day 2. The arrival day of Venice is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Istanbul to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 14).\n |- The departure day of Reykjavik is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Istanbul] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Reykjavik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 14).\n   |- The departure day of Athens is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Athens to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 14).\n     |- The departure day of Istanbul is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Athens, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Istanbul to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 14 - 18).\n       |- The departure day of Venice is Day 14. The arrival day of Hamburg is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Athens, Istanbul, Venice].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Venice to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Reykjavik, Athens, Istanbul, Venice, Hamburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Venice.\n**Day 8-14:** Visit Venice for 7 days.\n**Day 14:** Fly from Venice to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**London**Venice**Amsterdam**Tallinn",
    "ground_truth_durations": "2**6**2**3**5",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "London"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Prague",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in London for 6 days. You want to spend 5 days in Tallinn. You want to meet a friend in Tallinn between day 10 and day 14. You plan to stay in Prague for 2 days. You want to spend 2 days in Venice. From day 7 to day 8, there is a annual show you want to attend in Venice. You want to spend 3 days in Amsterdam.\n\nHere are the cities that have direct flights:\nPrague and London, Prague and Tallinn, London and Venice, Venice and Amsterdam, Amsterdam and Tallinn, London and Amsterdam, Prague and Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in London for 6 days. You want to spend 5 days in Tallinn. You want to meet a friend in Tallinn between day 10 and day 14. You plan to stay in Prague for 2 days. You want to spend 2 days in Venice. From day 7 to day 8, there is a annual show you want to attend in Venice. You want to spend 3 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Prague to London, from Prague to Tallinn, from London to Venice, from Venice to Amsterdam, from Amsterdam to Tallinn, from London to Amsterdam, from Prague to Amsterdam.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Amsterdam.\n**Day 8-10:** Visit Amsterdam for 3 days.\n**Day 10:** Fly from Amsterdam to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_486",
    "estimated_output_tokens": 1606,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 6 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Prague, Duration: 2 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Amsterdam, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 7 - 8.\n* City: Tallinn, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: London, Duration: 6 days.\n* City: Prague, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Prague, Amsterdam] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of London is Day 6. The arrival day of Venice is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from London to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from London to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 7 - 8).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Venice is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Prague is Day 2. The arrival day of Venice is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Amsterdam] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Prague to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of London is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 10 - 14).\n     |- The departure day of Venice is Day 8. The arrival day of Tallinn is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, London, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 10 - 14).\n       |- The departure day of Amsterdam is Day 10. The arrival day of Tallinn is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Prague, London, Venice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Amsterdam to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Prague, London, Venice, Amsterdam, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to London.\n**Day 2-7:** Visit London for 6 days.\n**Day 7:** Fly from London to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Amsterdam.\n**Day 8-10:** Visit Amsterdam for 3 days.\n**Day 10:** Fly from Amsterdam to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Venice**Edinburgh**Brussels**Reykjavik",
    "ground_truth_durations": "7**7**4**5**7",
    "num_cities": 5,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Edinburgh. From day 13 to day 16, there is a annual show you want to attend in Edinburgh. You would like to visit Istanbul for 7 days. You plan to stay in Brussels for 5 days. You plan to stay in Reykjavik for 7 days. You want to spend 7 days in Venice. You plan to visit relatives in Venice between day 7 and day 13.\n\nHere are the cities that have direct flights:\nIstanbul and Brussels, Brussels and Reykjavik, Istanbul and Venice, Istanbul and Edinburgh, Venice and Edinburgh, Venice and Brussels, Edinburgh and Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Edinburgh. From day 13 to day 16, there is a annual show you want to attend in Edinburgh. You would like to visit Istanbul for 7 days. You plan to stay in Brussels for 5 days. You plan to stay in Reykjavik for 7 days. You want to spend 7 days in Venice. You plan to visit relatives in Venice between day 7 and day 13.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Brussels, from Brussels to Reykjavik, from Istanbul to Venice, from Istanbul to Edinburgh, from Venice to Edinburgh, from Venice to Brussels, from Edinburgh to Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 26 days:\n\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Venice.\n**Day 7-13:** Visit Venice for 7 days.\n**Day 13:** Fly from Venice to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Brussels.\n**Day 16-20:** Visit Brussels for 5 days.\n**Day 20:** Fly from Brussels to Reykjavik.\n**Day 20-26:** Visit Reykjavik for 7 days.",
    "id": "trip_planning_example_487",
    "estimated_output_tokens": 1194,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Istanbul, Duration: 7 days.\n* City: Brussels, Duration: 5 days.\n* City: Reykjavik, Duration: 7 days.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 7 - 13.\n* City: Edinburgh, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 7 days.\n* City: Brussels, Duration: 5 days.\n* City: Reykjavik, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Brussels, Reykjavik] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 13).\n |- The departure day of Istanbul is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Istanbul to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Edinburgh (Day 13 - 16).\n   |- The departure day of Venice is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Istanbul, Venice].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Istanbul, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Edinburgh to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Istanbul, Venice, Edinburgh, Brussels].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 20. Duration: 7 days. Schedule: Day 20 - 26.\n         |- Check for direct flight from Brussels to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 26. Current plan: [Istanbul, Venice, Edinburgh, Brussels, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Venice.\n**Day 7-13:** Visit Venice for 7 days.\n**Day 13:** Fly from Venice to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Brussels.\n**Day 16-20:** Visit Brussels for 5 days.\n**Day 20:** Fly from Brussels to Reykjavik.\n**Day 20-26:** Visit Reykjavik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Paris**Bucharest**Vienna**Mykonos",
    "ground_truth_durations": "5**7**6**7**5",
    "num_cities": 5,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 11,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Vienna",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 22 and day 26. You plan to stay in Vienna for 7 days. You plan to stay in Bucharest for 6 days. You are going to attend a wedding in Bucharest between day 11 and day 16. You would like to visit Reykjavik for 5 days. You plan to stay in Paris for 7 days.\n\nHere are the cities that have direct flights:\nParis and Bucharest, Paris and Vienna, Reykjavik and Vienna, Reykjavik and Paris, Bucharest and Vienna, Vienna and Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 22 and day 26. You plan to stay in Vienna for 7 days. You plan to stay in Bucharest for 6 days. You are going to attend a wedding in Bucharest between day 11 and day 16. You would like to visit Reykjavik for 5 days. You plan to stay in Paris for 7 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Bucharest, from Paris to Vienna, from Reykjavik to Vienna, from Reykjavik to Paris, from Bucharest to Vienna, from Vienna to Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 26 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Paris.\n**Day 5-11:** Visit Paris for 7 days.\n**Day 11:** Fly from Paris to Bucharest.\n**Day 11-16:** Visit Bucharest for 6 days.\n**Day 16:** Fly from Bucharest to Vienna.\n**Day 16-22:** Visit Vienna for 7 days.\n**Day 22:** Fly from Vienna to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_488",
    "estimated_output_tokens": 1881,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Vienna, Duration: 7 days.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 11 - 16.\n* City: Reykjavik, Duration: 5 days.\n* City: Paris, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 11 - 16.\n* City: Mykonos, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Vienna, Duration: 7 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Paris, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Reykjavik, Paris] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 11 - 16).\n |- The departure day of Vienna is Day 7. The arrival day of Bucharest is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Paris] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Vienna to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Vienna to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 11 - 16).\n |- The departure day of Reykjavik is Day 5. The arrival day of Bucharest is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Paris] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 11 - 16).\n   |- The departure day of Vienna is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Reykjavik, Vienna].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Vienna to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Reykjavik to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 11 - 16).\n   |- The departure day of Paris is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Reykjavik, Paris].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Paris to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 22 - 26).\n     |- The departure day of Bucharest is Day 16. The arrival day of Mykonos is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Reykjavik, Paris, Bucharest].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n       |- Check for direct flight from Bucharest to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 22 - 26).\n       |- The departure day of Vienna is Day 22. The arrival day of Mykonos is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Reykjavik, Paris, Bucharest, Vienna].\n        |- Check whether the city with an arrival day of Day 22 - is fixed.\n        |- Yes. The city with an arrival day of Day 22 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n         |- Check for direct flight from Vienna to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 26. Current plan: [Reykjavik, Paris, Bucharest, Vienna, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Paris.\n**Day 5-11:** Visit Paris for 7 days.\n**Day 11:** Fly from Paris to Bucharest.\n**Day 11-16:** Visit Bucharest for 6 days.\n**Day 16:** Fly from Bucharest to Vienna.\n**Day 16-22:** Visit Vienna for 7 days.\n**Day 22:** Fly from Vienna to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Nice**Geneva**Istanbul**Vilnius",
    "ground_truth_durations": "7**2**2**2**6",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Nice",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Vilnius. You would like to visit Reykjavik for 7 days. From day 1 to day 7, there is a annual show you want to attend in Reykjavik. You plan to stay in Istanbul for 2 days. You plan to stay in Geneva for 2 days. You want to spend 2 days in Nice. You are going to attend a wedding in Nice between day 7 and day 8.\n\nHere are the cities that have direct flights:\nGeneva and Istanbul, Istanbul and Vilnius, Nice and Geneva, Reykjavik and Nice, Nice and Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Vilnius. You would like to visit Reykjavik for 7 days. From day 1 to day 7, there is a annual show you want to attend in Reykjavik. You plan to stay in Istanbul for 2 days. You plan to stay in Geneva for 2 days. You want to spend 2 days in Nice. You are going to attend a wedding in Nice between day 7 and day 8.\n\nHere are the cities that have direct flights:\nfrom Geneva to Istanbul, from Istanbul to Vilnius, from Nice to Geneva, from Reykjavik to Nice, from Nice to Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Geneva.\n**Day 8-9:** Visit Geneva for 2 days.\n**Day 9:** Fly from Geneva to Istanbul.\n**Day 9-10:** Visit Istanbul for 2 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-15:** Visit Vilnius for 6 days.",
    "id": "trip_planning_example_489",
    "estimated_output_tokens": 1743,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 6 days.\n* City: Reykjavik, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Istanbul, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 6 days.\n* City: Istanbul, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 8).\n |- The departure day of Reykjavik is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Reykjavik to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul, Geneva] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Nice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Nice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Nice, Istanbul].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Istanbul to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Nice, Istanbul, Vilnius].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Istanbul to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Nice to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Nice, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Geneva to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Nice, Geneva, Istanbul].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n         |- Check for direct flight from Istanbul to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Nice, Geneva, Istanbul, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Reykjavik and visit Reykjavik for 7 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Geneva.\n**Day 8-9:** Visit Geneva for 2 days.\n**Day 9:** Fly from Geneva to Istanbul.\n**Day 9-10:** Visit Istanbul for 2 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-15:** Visit Vilnius for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Athens**Split**Lyon",
    "ground_truth_durations": "4**3**3**4**3",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Athens"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Porto",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 4 days. You plan to visit relatives in Porto between day 1 and day 4. You plan to stay in Lyon for 3 days. You are going to attend a wedding in Lyon between day 11 and day 13. You want to spend 3 days in Athens. You would like to visit Split for 4 days. You would like to visit Milan for 3 days.\n\nHere are the cities that have direct flights:\nMilan and Athens, Athens and Split, Split and Lyon, Porto and Lyon, Milan and Split, Porto and Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 4 days. You plan to visit relatives in Porto between day 1 and day 4. You plan to stay in Lyon for 3 days. You are going to attend a wedding in Lyon between day 11 and day 13. You want to spend 3 days in Athens. You would like to visit Split for 4 days. You would like to visit Milan for 3 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Athens, from Athens to Split, from Split to Lyon, from Porto to Lyon, from Milan to Split, from Porto to Milan.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Split.\n**Day 8-11:** Visit Split for 4 days.\n**Day 11:** Fly from Split to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_490",
    "estimated_output_tokens": 1328,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Athens, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 13).\n |- The departure day of Porto is Day 4. The arrival day of Lyon is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Split, Milan] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Porto to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 11 - 13).\n   |- The departure day of Milan is Day 6. The arrival day of Lyon is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Split] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Milan to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 11 - 13).\n     |- The departure day of Athens is Day 8. The arrival day of Lyon is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Milan, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 11 - 13).\n       |- The departure day of Split is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Milan, Athens, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Split to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Milan, Athens, Split, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Split.\n**Day 8-11:** Visit Split for 4 days.\n**Day 11:** Fly from Split to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Geneva**Munich**Milan**Krakow",
    "ground_truth_durations": "3**7**6**7**5",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 14,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Munich"
      ],
      [
        "Nice",
        "Munich"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Munich",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 6 days. You want to spend 3 days in Nice. During day 1 and day 3, you have to attend a conference in Nice. You want to spend 7 days in Milan. You would like to meet your friends at Milan between day 14 and day 20 to tour together. You plan to stay in Krakow for 5 days. You want to spend 7 days in Geneva.\n\nHere are the cities that have direct flights:\nGeneva and Munich, Nice and Munich, Nice and Geneva, Munich and Krakow, Milan and Krakow, Munich and Milan.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 6 days. You want to spend 3 days in Nice. During day 1 and day 3, you have to attend a conference in Nice. You want to spend 7 days in Milan. You would like to meet your friends at Milan between day 14 and day 20 to tour together. You plan to stay in Krakow for 5 days. You want to spend 7 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Geneva to Munich, from Nice to Munich, from Nice to Geneva, from Munich to Krakow, from Milan to Krakow, from Munich to Milan.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-9:** Visit Geneva for 7 days.\n**Day 9:** Fly from Geneva to Munich.\n**Day 9-14:** Visit Munich for 6 days.\n**Day 14:** Fly from Munich to Milan.\n**Day 14-20:** Visit Milan for 7 days.\n**Day 20:** Fly from Milan to Krakow.\n**Day 20-24:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_491",
    "estimated_output_tokens": 1768,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 6 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Milan, Duration: 7 days, Fixed Schedule: Day 14 - 20.\n* City: Krakow, Duration: 5 days.\n* City: Geneva, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 14 - 20.\n\nCities needing arrangement:\n* City: Munich, Duration: 6 days.\n* City: Krakow, Duration: 5 days.\n* City: Geneva, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 14 - 20).\n |- The departure day of Nice is Day 3. The arrival day of Milan is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Krakow, Geneva] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Nice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 14 - 20).\n   |- The departure day of Munich is Day 8. The arrival day of Milan is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 14 - 20).\n     |- The departure day of Krakow is Day 12. The arrival day of Milan is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Nice, Munich, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Krakow to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Munich to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Nice to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Nice to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 14 - 20).\n   |- The departure day of Geneva is Day 9. The arrival day of Milan is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, Geneva].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Krakow] and explore these options in order.\n     |- Try arranging to visit Munich from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Geneva to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 14 - 20).\n     |- The departure day of Munich is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Nice, Geneva, Munich].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Munich to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Nice, Geneva, Munich, Milan].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n         |- Check for direct flight from Milan to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Nice, Geneva, Munich, Milan, Krakow].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-9:** Visit Geneva for 7 days.\n**Day 9:** Fly from Geneva to Munich.\n**Day 9-14:** Visit Munich for 6 days.\n**Day 14:** Fly from Munich to Milan.\n**Day 14-20:** Visit Milan for 7 days.\n**Day 20:** Fly from Milan to Krakow.\n**Day 20-24:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Venice**Athens**Madrid**Porto",
    "ground_truth_durations": "4**2**4**6**4",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Athens"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You want to spend 4 days in Athens. You plan to visit relatives in Athens between day 5 and day 8. You would like to visit Madrid for 6 days. You would like to visit London for 4 days. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Athens, Madrid and Porto, London and Venice, Athens and Madrid, London and Madrid, Venice and Madrid, Venice and Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You want to spend 4 days in Athens. You plan to visit relatives in Athens between day 5 and day 8. You would like to visit Madrid for 6 days. You would like to visit London for 4 days. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Athens, from Madrid to Porto, from London to Venice, from Athens to Madrid, from London to Madrid, from Venice to Madrid, from Venice to Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Madrid.\n**Day 8-13:** Visit Madrid for 6 days.\n**Day 13:** Fly from Madrid to Porto.\n**Day 13-16:** Visit Porto for 4 days.",
    "id": "trip_planning_example_492",
    "estimated_output_tokens": 1269,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Madrid, Duration: 6 days.\n* City: London, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Madrid, Duration: 6 days.\n* City: London, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, London, Porto] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Madrid is Day 6. The arrival day of Venice is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of London is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from London to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n   |- The departure day of Venice is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Venice, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Porto] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Athens to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Venice, Athens, Madrid].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Madrid to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [London, Venice, Athens, Madrid, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Madrid.\n**Day 8-13:** Visit Madrid for 6 days.\n**Day 13:** Fly from Madrid to Porto.\n**Day 13-16:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Vilnius**Zurich**Porto**Lyon",
    "ground_truth_durations": "4**3**4**3**6",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Porto",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. You would like to visit Vilnius for 3 days. You plan to visit relatives in Vilnius between day 4 and day 6. You would like to visit Lyon for 6 days. You want to spend 4 days in Helsinki. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 9 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nHelsinki and Zurich, Zurich and Porto, Vilnius and Zurich, Helsinki and Vilnius, Porto and Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. You would like to visit Vilnius for 3 days. You plan to visit relatives in Vilnius between day 4 and day 6. You would like to visit Lyon for 6 days. You want to spend 4 days in Helsinki. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 9 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Zurich, from Zurich to Porto, from Vilnius to Zurich, from Helsinki to Vilnius, from Porto to Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Vilnius.\n**Day 4-6:** Visit Vilnius for 3 days.\n**Day 6:** Fly from Vilnius to Zurich.\n**Day 6-9:** Visit Zurich for 4 days.\n**Day 9:** Fly from Zurich to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Lyon.\n**Day 11-16:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_493",
    "estimated_output_tokens": 1602,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Lyon, Duration: 6 days.\n* City: Helsinki, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 4 - 6.\n* City: Porto, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Lyon, Duration: 6 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Lyon, Helsinki] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 4 - 6).\n |- The departure day of Zurich is Day 4. The arrival day of Vilnius is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 4 - 6).\n |- The departure day of Lyon is Day 6. The arrival day of Vilnius is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 4 - 6).\n |- The departure day of Helsinki is Day 4. The arrival day of Vilnius is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 9 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Porto is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 11).\n     |- The departure day of Zurich is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Vilnius, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Zurich to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Helsinki, Vilnius, Zurich, Porto].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n         |- Check for direct flight from Porto to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Vilnius, Zurich, Porto, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Vilnius.\n**Day 4-6:** Visit Vilnius for 3 days.\n**Day 6:** Fly from Vilnius to Zurich.\n**Day 6-9:** Visit Zurich for 4 days.\n**Day 9:** Fly from Zurich to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Lyon.\n**Day 11-16:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Split**Madrid**Edinburgh**Copenhagen",
    "ground_truth_durations": "2**7**5**5**4",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Split"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Vienna",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 1 and day 2. You plan to stay in Madrid for 5 days. You would like to visit Copenhagen for 4 days. You have to attend a workshop in Copenhagen between day 16 and day 19. You would like to visit Split for 7 days. You would like to visit Edinburgh for 5 days.\n\nHere are the cities that have direct flights:\nVienna and Split, Madrid and Copenhagen, Split and Copenhagen, Vienna and Copenhagen, Madrid and Edinburgh, Edinburgh and Copenhagen, Split and Madrid, Vienna and Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 1 and day 2. You plan to stay in Madrid for 5 days. You would like to visit Copenhagen for 4 days. You have to attend a workshop in Copenhagen between day 16 and day 19. You would like to visit Split for 7 days. You would like to visit Edinburgh for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Split, from Madrid to Copenhagen, from Split to Copenhagen, from Vienna to Copenhagen, from Madrid to Edinburgh, from Edinburgh to Copenhagen, from Split to Madrid, from Vienna to Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Split.\n**Day 2-8:** Visit Split for 7 days.\n**Day 8:** Fly from Split to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Edinburgh.\n**Day 12-16:** Visit Edinburgh for 5 days.\n**Day 16:** Fly from Edinburgh to Copenhagen.\n**Day 16-19:** Visit Copenhagen for 4 days.",
    "id": "trip_planning_example_494",
    "estimated_output_tokens": 1743,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Split, Duration: 7 days.\n* City: Edinburgh, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n* City: Copenhagen, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Madrid, Duration: 5 days.\n* City: Split, Duration: 7 days.\n* City: Edinburgh, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 16 - 19).\n |- The departure day of Vienna is Day 2. The arrival day of Copenhagen is Day 16. Day 2 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Split, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 16 - 19).\n   |- The departure day of Madrid is Day 6. The arrival day of Copenhagen is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Madrid to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 16 - 19).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Copenhagen is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Madrid, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Edinburgh to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Vienna to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 16 - 19).\n   |- The departure day of Split is Day 8. The arrival day of Copenhagen is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Split to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 16 - 19).\n     |- The departure day of Madrid is Day 12. The arrival day of Copenhagen is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Split, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Madrid to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Copenhagen (Day 16 - 19).\n       |- The departure day of Edinburgh is Day 16. The arrival day of Copenhagen is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Vienna, Split, Madrid, Edinburgh].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Edinburgh to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Vienna, Split, Madrid, Edinburgh, Copenhagen].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Split.\n**Day 2-8:** Visit Split for 7 days.\n**Day 8:** Fly from Split to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Edinburgh.\n**Day 12-16:** Visit Edinburgh for 5 days.\n**Day 16:** Fly from Edinburgh to Copenhagen.\n**Day 16-19:** Visit Copenhagen for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Valencia**Seville**Brussels**Stockholm",
    "ground_truth_durations": "7**6**5**6**5",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Valencia",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. During day 21 and day 25, you have to attend a conference in Stockholm. You would like to visit Valencia for 6 days. You want to spend 5 days in Seville. You want to spend 7 days in Bucharest. From day 1 to day 7, there is a annual show you want to attend in Bucharest. You would like to visit Brussels for 6 days.\n\nHere are the cities that have direct flights:\nBrussels and Stockholm, Bucharest and Valencia, Seville and Brussels, Valencia and Brussels, Bucharest and Brussels, Valencia and Seville.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. During day 21 and day 25, you have to attend a conference in Stockholm. You would like to visit Valencia for 6 days. You want to spend 5 days in Seville. You want to spend 7 days in Bucharest. From day 1 to day 7, there is a annual show you want to attend in Bucharest. You would like to visit Brussels for 6 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Stockholm, from Bucharest to Valencia, from Seville to Brussels, from Valencia to Brussels, from Bucharest to Brussels, from Valencia to Seville.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Valencia.\n**Day 7-12:** Visit Valencia for 6 days.\n**Day 12:** Fly from Valencia to Seville.\n**Day 12-16:** Visit Seville for 5 days.\n**Day 16:** Fly from Seville to Brussels.\n**Day 16-21:** Visit Brussels for 6 days.\n**Day 21:** Fly from Brussels to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_495",
    "estimated_output_tokens": 1265,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Valencia, Duration: 6 days.\n* City: Seville, Duration: 5 days.\n* City: Bucharest, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Brussels, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 7.\n* City: Stockholm, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Valencia, Duration: 6 days.\n* City: Seville, Duration: 5 days.\n* City: Brussels, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 21 - 25).\n |- The departure day of Bucharest is Day 7. The arrival day of Stockholm is Day 21. Day 7 is not later than (<=) Day 21. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Seville, Brussels] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Bucharest to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 21 - 25).\n   |- The departure day of Valencia is Day 12. The arrival day of Stockholm is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Bucharest, Valencia].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Brussels] and explore these options in order.\n     |- Try arranging to visit Seville from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 21 - 25).\n     |- The departure day of Seville is Day 16. The arrival day of Stockholm is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Seville to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stockholm (Day 21 - 25).\n       |- The departure day of Brussels is Day 21. The arrival day of Stockholm is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Bucharest, Valencia, Seville, Brussels].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- Yes. The city with an arrival day of Day 21 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n         |- Check for direct flight from Brussels to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Bucharest, Valencia, Seville, Brussels, Stockholm].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Valencia.\n**Day 7-12:** Visit Valencia for 6 days.\n**Day 12:** Fly from Valencia to Seville.\n**Day 12-16:** Visit Seville for 5 days.\n**Day 16:** Fly from Seville to Brussels.\n**Day 16-21:** Visit Brussels for 6 days.\n**Day 21:** Fly from Brussels to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**London**Helsinki**Dublin**Porto",
    "ground_truth_durations": "3**6**7**3**2",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "London"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Manchester",
        "Dublin"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Manchester",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. During day 1 and day 3, you have to attend a conference in Manchester. You would like to visit Helsinki for 7 days. You are going to attend a wedding in Helsinki between day 8 and day 14. You plan to stay in London for 6 days. You want to spend 3 days in Dublin. You plan to stay in Porto for 2 days.\n\nHere are the cities that have direct flights:\nManchester and London, London and Dublin, Manchester and Porto, Manchester and Dublin, Dublin and Porto, Helsinki and Dublin, London and Helsinki, Manchester and Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. During day 1 and day 3, you have to attend a conference in Manchester. You would like to visit Helsinki for 7 days. You are going to attend a wedding in Helsinki between day 8 and day 14. You plan to stay in London for 6 days. You want to spend 3 days in Dublin. You plan to stay in Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to London, from London to Dublin, from Manchester to Porto, from Manchester to Dublin, from Dublin to Porto, from Helsinki to Dublin, from London to Helsinki, from Manchester to Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to London.\n**Day 3-8:** Visit London for 6 days.\n**Day 8:** Fly from London to Helsinki.\n**Day 8-14:** Visit Helsinki for 7 days.\n**Day 14:** Fly from Helsinki to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Porto.\n**Day 16-17:** Visit Porto for 2 days.",
    "id": "trip_planning_example_496",
    "estimated_output_tokens": 1159,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: London, Duration: 6 days.\n* City: Dublin, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: London, Duration: 6 days.\n* City: Dublin, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 8 - 14).\n |- The departure day of Manchester is Day 3. The arrival day of Helsinki is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Dublin, Porto] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Manchester to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 8 - 14).\n   |- The departure day of London is Day 8. The arrival day of Helsinki is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from London to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Manchester, London, Helsinki].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Porto] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Helsinki to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Manchester, London, Helsinki, Dublin].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Dublin to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Manchester, London, Helsinki, Dublin, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to London.\n**Day 3-8:** Visit London for 6 days.\n**Day 8:** Fly from London to Helsinki.\n**Day 8-14:** Visit Helsinki for 7 days.\n**Day 14:** Fly from Helsinki to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Porto.\n**Day 16-17:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Stuttgart**London**Oslo**Dubrovnik",
    "ground_truth_durations": "2**5**4**6**6",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "London",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 2 days. You would like to visit London for 4 days. You have to attend a workshop in London between day 6 and day 9. You plan to stay in Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 2 and day 6 to tour together. You would like to visit Oslo for 6 days. You plan to stay in Dubrovnik for 6 days.\n\nHere are the cities that have direct flights:\nOslo and Dubrovnik, Manchester and London, Manchester and Oslo, Manchester and Dubrovnik, Manchester and Stuttgart, Stuttgart and London, London and Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 2 days. You would like to visit London for 4 days. You have to attend a workshop in London between day 6 and day 9. You plan to stay in Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 2 and day 6 to tour together. You would like to visit Oslo for 6 days. You plan to stay in Dubrovnik for 6 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Dubrovnik, from Manchester to London, from Manchester to Oslo, from Manchester to Dubrovnik, from Manchester to Stuttgart, from Stuttgart to London, from London to Oslo.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Stuttgart.\n**Day 2-6:** Visit Stuttgart for 5 days.\n**Day 6:** Fly from Stuttgart to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Oslo.\n**Day 9-14:** Visit Oslo for 6 days.\n**Day 14:** Fly from Oslo to Dubrovnik.\n**Day 14-19:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_497",
    "estimated_output_tokens": 1178,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Oslo, Duration: 6 days.\n* City: Dubrovnik, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 2 - 6.\n* City: London, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Oslo, Duration: 6 days.\n* City: Dubrovnik, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Oslo, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 6).\n |- The departure day of Manchester is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 6 - 9).\n   |- The departure day of Stuttgart is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n     |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stuttgart to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Stuttgart, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from London to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Manchester, Stuttgart, London, Oslo].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Manchester, Stuttgart, London, Oslo, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Stuttgart.\n**Day 2-6:** Visit Stuttgart for 5 days.\n**Day 6:** Fly from Stuttgart to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Oslo.\n**Day 9-14:** Visit Oslo for 6 days.\n**Day 14:** Fly from Oslo to Dubrovnik.\n**Day 14-19:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Rome**Santorini**Oslo**Reykjavik",
    "ground_truth_durations": "2**7**6**4**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 16,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Rome",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Santorini. You are going to attend a wedding in Santorini between day 8 and day 13. You plan to stay in Reykjavik for 6 days. You want to meet a friend in Reykjavik between day 16 and day 21. You plan to stay in Warsaw for 2 days. You want to spend 7 days in Rome. You would like to visit Oslo for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Reykjavik, Warsaw and Oslo, Rome and Santorini, Rome and Reykjavik, Oslo and Reykjavik, from Santorini to Oslo, Warsaw and Rome, Rome and Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Santorini. You are going to attend a wedding in Santorini between day 8 and day 13. You plan to stay in Reykjavik for 6 days. You want to meet a friend in Reykjavik between day 16 and day 21. You plan to stay in Warsaw for 2 days. You want to spend 7 days in Rome. You would like to visit Oslo for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Reykjavik, from Warsaw to Oslo, from Rome to Santorini, from Rome to Reykjavik, from Oslo to Reykjavik, from Santorini to Oslo, from Warsaw to Rome, from Rome to Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Rome.\n**Day 2-8:** Visit Rome for 7 days.\n**Day 8:** Fly from Rome to Santorini.\n**Day 8-13:** Visit Santorini for 6 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Reykjavik.\n**Day 16-21:** Visit Reykjavik for 6 days.",
    "id": "trip_planning_example_498",
    "estimated_output_tokens": 1307,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 6 days, Fixed Schedule: Day 8 - 13.\n* City: Reykjavik, Duration: 6 days, Fixed Schedule: Day 16 - 21.\n* City: Warsaw, Duration: 2 days.\n* City: Rome, Duration: 7 days.\n* City: Oslo, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 8 - 13.\n* City: Reykjavik, Fixed Schedule: Day 16 - 21.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 2 days.\n* City: Rome, Duration: 7 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Rome, Oslo] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 13).\n |- The departure day of Warsaw is Day 2. The arrival day of Santorini is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Oslo] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Warsaw to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 8 - 13).\n   |- The departure day of Rome is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Rome to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 16 - 21).\n     |- The departure day of Santorini is Day 13. The arrival day of Reykjavik is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Warsaw, Rome, Santorini].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Santorini to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 16 - 21).\n       |- The departure day of Oslo is Day 16. The arrival day of Reykjavik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Warsaw, Rome, Santorini, Oslo].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Warsaw, Rome, Santorini, Oslo, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Rome.\n**Day 2-8:** Visit Rome for 7 days.\n**Day 8:** Fly from Rome to Santorini.\n**Day 8-13:** Visit Santorini for 6 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Reykjavik.\n**Day 16-21:** Visit Reykjavik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Milan**Valencia**Dublin**Dubrovnik",
    "ground_truth_durations": "6**3**5**6**2",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "London",
        "Milan"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Valencia",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 2 days. You want to spend 5 days in Valencia. From day 8 to day 12, there is a annual show you want to attend in Valencia. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 6 and day 8. You want to spend 6 days in Dublin. You would like to visit London for 6 days.\n\nHere are the cities that have direct flights:\nLondon and Milan, Dublin and Dubrovnik, Milan and Dublin, London and Dublin, Milan and Valencia, London and Valencia, Valencia and Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 2 days. You want to spend 5 days in Valencia. From day 8 to day 12, there is a annual show you want to attend in Valencia. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 6 and day 8. You want to spend 6 days in Dublin. You would like to visit London for 6 days.\n\nHere are the cities that have direct flights:\nfrom London to Milan, from Dublin to Dubrovnik, from Milan to Dublin, from London to Dublin, from Milan to Valencia, from London to Valencia, from Valencia to Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in London and visit London for 6 days.\n**Day 6:** Fly from London to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Dublin.\n**Day 12-17:** Visit Dublin for 6 days.\n**Day 17:** Fly from Dublin to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_499",
    "estimated_output_tokens": 1775,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Dublin, Duration: 6 days.\n* City: London, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 6 - 8.\n* City: Valencia, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Dublin, Duration: 6 days.\n* City: London, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Dublin, London] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 8).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Milan is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, London] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Dubrovnik to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Dubrovnik to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 8).\n |- The departure day of Dublin is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Dublin to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 8).\n |- The departure day of London is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 12).\n   |- The departure day of Milan is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [London, Milan, Valencia].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Dublin] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Valencia to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [London, Milan, Valencia, Dublin].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Dublin to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [London, Milan, Valencia, Dublin, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in London and visit London for 6 days.\n**Day 6:** Fly from London to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Dublin.\n**Day 12-17:** Visit Dublin for 6 days.\n**Day 17:** Fly from Dublin to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Split**Lyon**Munich**Manchester",
    "ground_truth_durations": "7**7**2**6**2",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Munich"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Hamburg. You would like to visit Munich for 6 days. You want to spend 2 days in Manchester. You plan to visit relatives in Manchester between day 19 and day 20. You plan to stay in Lyon for 2 days. From day 13 to day 14, there is a annual show you want to attend in Lyon. You would like to visit Split for 7 days.\n\nHere are the cities that have direct flights:\nSplit and Munich, Munich and Manchester, Hamburg and Manchester, Hamburg and Munich, Split and Lyon, Lyon and Munich, Hamburg and Split, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Hamburg. You would like to visit Munich for 6 days. You want to spend 2 days in Manchester. You plan to visit relatives in Manchester between day 19 and day 20. You plan to stay in Lyon for 2 days. From day 13 to day 14, there is a annual show you want to attend in Lyon. You would like to visit Split for 7 days.\n\nHere are the cities that have direct flights:\nfrom Split to Munich, from Munich to Manchester, from Hamburg to Manchester, from Hamburg to Munich, from Split to Lyon, from Lyon to Munich, from Hamburg to Split, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Split.\n**Day 7-13:** Visit Split for 7 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Munich.\n**Day 14-19:** Visit Munich for 6 days.\n**Day 19:** Fly from Munich to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_500",
    "estimated_output_tokens": 1490,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 7 days.\n* City: Munich, Duration: 6 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Split, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 13 - 14.\n* City: Manchester, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 7 days.\n* City: Munich, Duration: 6 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Munich, Split] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 13 - 14).\n |- The departure day of Hamburg is Day 7. The arrival day of Lyon is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Split] and explore these options in order.\n   |- Try arranging to visit Munich from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Hamburg to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 13 - 14).\n   |- The departure day of Munich is Day 12. The arrival day of Lyon is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Hamburg, Munich].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n     |- Try arranging to visit Split from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Munich to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Hamburg to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 13 - 14).\n   |- The departure day of Split is Day 13. The arrival day of Lyon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Hamburg, Split].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n     |- Check for direct flight from Split to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 19 - 20).\n     |- The departure day of Lyon is Day 14. The arrival day of Manchester is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Hamburg, Split, Lyon].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n       |- Try arranging to visit Munich from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Lyon to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 19 - 20).\n       |- The departure day of Munich is Day 19. The arrival day of Manchester is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Hamburg, Split, Lyon, Munich].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n         |- Check for direct flight from Munich to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Hamburg, Split, Lyon, Munich, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Split.\n**Day 7-13:** Visit Split for 7 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Munich.\n**Day 14-19:** Visit Munich for 6 days.\n**Day 19:** Fly from Munich to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Dublin**Milan**Krakow**Oslo",
    "ground_truth_durations": "3**2**5**5**6",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 12,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Lyon",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. You want to meet a friend in Krakow between day 8 and day 12. You plan to stay in Lyon for 3 days. You would like to visit Oslo for 6 days. You plan to visit relatives in Oslo between day 12 and day 17. You want to spend 2 days in Dublin. You want to spend 5 days in Milan.\n\nHere are the cities that have direct flights:\nDublin and Krakow, Milan and Oslo, Dublin and Oslo, Lyon and Oslo, Milan and Krakow, Dublin and Milan, Krakow and Oslo, Lyon and Dublin.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. You want to meet a friend in Krakow between day 8 and day 12. You plan to stay in Lyon for 3 days. You would like to visit Oslo for 6 days. You plan to visit relatives in Oslo between day 12 and day 17. You want to spend 2 days in Dublin. You want to spend 5 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Dublin to Krakow, from Milan to Oslo, from Dublin to Oslo, from Lyon to Oslo, from Milan to Krakow, from Dublin to Milan, from Krakow to Oslo, from Lyon to Dublin.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Dublin.\n**Day 3-4:** Visit Dublin for 2 days.\n**Day 4:** Fly from Dublin to Milan.\n**Day 4-8:** Visit Milan for 5 days.\n**Day 8:** Fly from Milan to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Oslo.\n**Day 12-17:** Visit Oslo for 6 days.",
    "id": "trip_planning_example_501",
    "estimated_output_tokens": 1255,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Lyon, Duration: 3 days.\n* City: Oslo, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n* City: Dublin, Duration: 2 days.\n* City: Milan, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 12.\n* City: Oslo, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Dublin, Milan] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 12).\n |- The departure day of Lyon is Day 3. The arrival day of Krakow is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Milan] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 8 - 12).\n   |- The departure day of Dublin is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Dublin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dublin to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 12).\n     |- The departure day of Milan is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Dublin, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Milan to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 12 - 17).\n       |- The departure day of Krakow is Day 12. The arrival day of Oslo is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Dublin, Milan, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n         |- Check for direct flight from Krakow to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lyon, Dublin, Milan, Krakow, Oslo].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Dublin.\n**Day 3-4:** Visit Dublin for 2 days.\n**Day 4:** Fly from Dublin to Milan.\n**Day 4-8:** Visit Milan for 5 days.\n**Day 8:** Fly from Milan to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Oslo.\n**Day 12-17:** Visit Oslo for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Vienna**Valencia**Lisbon**Hamburg",
    "ground_truth_durations": "5**2**4**3**7",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Vienna",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 7 days. You would like to meet your friends at Hamburg between day 11 and day 17 to tour together. You plan to stay in Lisbon for 3 days. You want to meet a friend in Lisbon between day 9 and day 11. You want to spend 2 days in Vienna. You would like to visit Valencia for 4 days. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nVienna and Lisbon, Lisbon and Hamburg, Valencia and Lisbon, Vienna and Valencia, Mykonos and Vienna, Vienna and Hamburg.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 7 days. You would like to meet your friends at Hamburg between day 11 and day 17 to tour together. You plan to stay in Lisbon for 3 days. You want to meet a friend in Lisbon between day 9 and day 11. You want to spend 2 days in Vienna. You would like to visit Valencia for 4 days. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Lisbon, from Lisbon to Hamburg, from Valencia to Lisbon, from Vienna to Valencia, from Mykonos to Vienna, from Vienna to Hamburg.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Valencia.\n**Day 6-9:** Visit Valencia for 4 days.\n**Day 9:** Fly from Valencia to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Hamburg.\n**Day 11-17:** Visit Hamburg for 7 days.",
    "id": "trip_planning_example_502",
    "estimated_output_tokens": 2073,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 7 days, Fixed Schedule: Day 11 - 17.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Vienna, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 9 - 11.\n* City: Hamburg, Fixed Schedule: Day 11 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Valencia, Mykonos] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 11).\n |- The departure day of Vienna is Day 2. The arrival day of Lisbon is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Mykonos] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 9 - 11).\n   |- The departure day of Valencia is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 11).\n |- The departure day of Valencia is Day 4. The arrival day of Lisbon is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 11).\n |- The departure day of Mykonos is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Valencia] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 11).\n   |- The departure day of Vienna is Day 6. The arrival day of Lisbon is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 9 - 11).\n     |- The departure day of Valencia is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Vienna, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Valencia to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 17).\n       |- The departure day of Lisbon is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Vienna, Valencia, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n         |- Check for direct flight from Lisbon to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Vienna, Valencia, Lisbon, Hamburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Valencia.\n**Day 6-9:** Visit Valencia for 4 days.\n**Day 9:** Fly from Valencia to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Hamburg.\n**Day 11-17:** Visit Hamburg for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Paris**Athens**Edinburgh**Porto",
    "ground_truth_durations": "5**4**2**2**2",
    "num_cities": 5,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Athens"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Paris",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to spend 4 days in Paris. You plan to visit relatives in Paris between day 5 and day 8. You plan to stay in Athens for 2 days. You want to spend 5 days in Lyon. You would like to visit Porto for 2 days. You want to meet a friend in Porto between day 10 and day 11.\n\nHere are the cities that have direct flights:\nParis and Athens, Paris and Edinburgh, Athens and Edinburgh, Lyon and Porto, Lyon and Paris, Edinburgh and Porto, Paris and Porto.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to spend 4 days in Paris. You plan to visit relatives in Paris between day 5 and day 8. You plan to stay in Athens for 2 days. You want to spend 5 days in Lyon. You would like to visit Porto for 2 days. You want to meet a friend in Porto between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Paris to Athens, from Paris to Edinburgh, from Athens to Edinburgh, from Lyon to Porto, from Lyon to Paris, from Edinburgh to Porto, from Paris to Porto.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 11 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Porto.\n**Day 10-11:** Visit Porto for 2 days.",
    "id": "trip_planning_example_503",
    "estimated_output_tokens": 2285,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Athens, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 5 - 8.\n* City: Porto, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Athens, Lyon] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 8).\n |- The departure day of Edinburgh is Day 2. The arrival day of Paris is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Lyon] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 8).\n |- The departure day of Athens is Day 2. The arrival day of Paris is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Lyon] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Athens to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 5 - 8).\n   |- The departure day of Edinburgh is Day 3. The arrival day of Paris is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Athens, Edinburgh].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Edinburgh to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 8).\n |- The departure day of Lyon is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 10 - 11).\n   |- The departure day of Paris is Day 8. The arrival day of Porto is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Athens] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 10 - 11).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Porto is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Edinburgh to Athens.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 10 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Porto is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 10 - 11).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Porto is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Paris, Athens, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Edinburgh to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Paris, Athens, Edinburgh, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Dublin**Madrid**Athens**Stuttgart",
    "ground_truth_durations": "6**2**5**3**2",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Riga"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Dublin",
        "Athens"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 2 days. You would like to visit Riga for 6 days. You would like to visit Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 13 and day 14. You want to spend 5 days in Madrid. You want to spend 3 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Athens to Riga, Riga and Dublin, Dublin and Athens, Madrid and Athens, Athens and Stuttgart, Dublin and Madrid.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 2 days. You would like to visit Riga for 6 days. You would like to visit Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 13 and day 14. You want to spend 5 days in Madrid. You want to spend 3 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Athens to Riga, from Riga to Dublin, from Dublin to Athens, from Madrid to Athens, from Athens to Stuttgart, from Dublin to Madrid.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-6:** Arriving in Riga and visit Riga for 6 days.\n**Day 6:** Fly from Riga to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_504",
    "estimated_output_tokens": 2729,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 2 days.\n* City: Riga, Duration: 6 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Madrid, Duration: 5 days.\n* City: Athens, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Dublin, Duration: 2 days.\n* City: Riga, Duration: 6 days.\n* City: Madrid, Duration: 5 days.\n* City: Athens, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Riga, Madrid, Athens] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 13 - 14).\n |- The departure day of Dublin is Day 2. The arrival day of Stuttgart is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Madrid, Athens] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Dublin to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dublin to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 13 - 14).\n   |- The departure day of Madrid is Day 6. The arrival day of Stuttgart is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Athens] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Madrid to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Madrid to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 13 - 14).\n     |- The departure day of Athens is Day 8. The arrival day of Stuttgart is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Madrid, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Athens to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 13 - 14).\n       |- The departure day of Riga is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dublin, Madrid, Athens, Riga].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Riga to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dublin to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 13 - 14).\n   |- The departure day of Athens is Day 4. The arrival day of Stuttgart is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dublin, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Madrid] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 13 - 14).\n     |- The departure day of Riga is Day 9. The arrival day of Stuttgart is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dublin, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Athens to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 13 - 14).\n |- The departure day of Riga is Day 6. The arrival day of Stuttgart is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Madrid, Athens] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Riga to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 13 - 14).\n   |- The departure day of Dublin is Day 7. The arrival day of Stuttgart is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Athens] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dublin to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 13 - 14).\n     |- The departure day of Madrid is Day 11. The arrival day of Stuttgart is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Dublin, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n       |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Madrid to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 13 - 14).\n       |- The departure day of Athens is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Riga, Dublin, Madrid, Athens].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Athens to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Dublin, Madrid, Athens, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Riga and visit Riga for 6 days.\n**Day 6:** Fly from Riga to Dublin.\n**Day 6-7:** Visit Dublin for 2 days.\n**Day 7:** Fly from Dublin to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Stuttgart**Split**Prague**Florence",
    "ground_truth_durations": "2**2**2**4**2",
    "num_cities": 5,
    "total_days": 8,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Krakow",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 4 days. You plan to stay in Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 2 and day 3. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 3 and day 4 to tour together. You plan to stay in Krakow for 2 days. You plan to stay in Florence for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and Split, Prague and Florence, Krakow and Stuttgart, Krakow and Split, Split and Prague, Krakow and Prague.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 8 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 4 days. You plan to stay in Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 2 and day 3. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 3 and day 4 to tour together. You plan to stay in Krakow for 2 days. You plan to stay in Florence for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Split, from Prague to Florence, from Krakow to Stuttgart, from Krakow to Split, from Split to Prague, from Krakow to Prague.\n\nFind a trip plan of visiting the cities for 8 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 8 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Stuttgart.\n**Day 2-3:** Visit Stuttgart for 2 days.\n**Day 3:** Fly from Stuttgart to Split.\n**Day 3-4:** Visit Split for 2 days.\n**Day 4:** Fly from Split to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-8:** Visit Florence for 2 days.",
    "id": "trip_planning_example_505",
    "estimated_output_tokens": 1289,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Krakow, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 2 - 3.\n* City: Split, Fixed Schedule: Day 3 - 4.\n\nCities needing arrangement:\n* City: Prague, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Krakow, Florence] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 3).\n |- The departure day of Prague is Day 4. The arrival day of Stuttgart is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 3).\n |- The departure day of Krakow is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 3 - 4).\n   |- The departure day of Stuttgart is Day 3. The arrival day of Split is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Krakow, Stuttgart].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Split.\n     |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stuttgart to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Krakow, Stuttgart, Split].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Florence] and explore these options in order.\n       |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Split to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Krakow, Stuttgart, Split, Prague].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Prague to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Krakow, Stuttgart, Split, Prague, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Stuttgart.\n**Day 2-3:** Visit Stuttgart for 2 days.\n**Day 3:** Fly from Stuttgart to Split.\n**Day 3-4:** Visit Split for 2 days.\n**Day 4:** Fly from Split to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-8:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Riga**Bucharest**Brussels**Porto",
    "ground_truth_durations": "7**5**5**4**6",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Riga",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. From day 7 to day 11, there is a annual show you want to attend in Riga. You would like to visit Porto for 6 days. You plan to stay in Prague for 7 days. During day 1 and day 7, you have to attend a conference in Prague. You want to spend 4 days in Brussels. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nRiga and Bucharest, Prague and Bucharest, Brussels and Porto, Prague and Riga, Prague and Brussels, Bucharest and Brussels, Riga and Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. From day 7 to day 11, there is a annual show you want to attend in Riga. You would like to visit Porto for 6 days. You plan to stay in Prague for 7 days. During day 1 and day 7, you have to attend a conference in Prague. You want to spend 4 days in Brussels. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Bucharest, from Prague to Bucharest, from Brussels to Porto, from Prague to Riga, from Prague to Brussels, from Bucharest to Brussels, from Riga to Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Prague and visit Prague for 7 days.\n**Day 7:** Fly from Prague to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Porto.\n**Day 18-23:** Visit Porto for 6 days.",
    "id": "trip_planning_example_506",
    "estimated_output_tokens": 1699,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Porto, Duration: 6 days.\n* City: Prague, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Brussels, Duration: 4 days.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 7.\n* City: Riga, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 6 days.\n* City: Brussels, Duration: 4 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 7 - 11).\n |- The departure day of Prague is Day 7. The arrival day of Riga is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Prague to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Prague, Riga].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Brussels, Bucharest] and explore these options in order.\n     |- Try arranging to visit Porto from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Riga to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Riga to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Prague, Riga, Brussels].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Bucharest] and explore these options in order.\n       |- Try arranging to visit Porto from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Brussels to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Prague, Riga, Brussels, Porto].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Porto to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n       |- Check for direct flight from Brussels to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Riga to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Prague, Riga, Bucharest].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Brussels] and explore these options in order.\n       |- Try arranging to visit Porto from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Bucharest to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n       |- Check for direct flight from Bucharest to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Prague, Riga, Bucharest, Brussels].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 18. Duration: 6 days. Schedule: Day 18 - 23.\n         |- Check for direct flight from Brussels to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Prague, Riga, Bucharest, Brussels, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Prague and visit Prague for 7 days.\n**Day 7:** Fly from Prague to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Porto.\n**Day 18-23:** Visit Porto for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Florence**Paris**Istanbul**Salzburg",
    "ground_truth_durations": "2**2**3**4**6",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Istanbul",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to visit relatives in Florence between day 2 and day 3. You plan to stay in Paris for 3 days. You would like to visit Salzburg for 6 days. You plan to stay in Barcelona for 2 days. You want to meet a friend in Barcelona between day 1 and day 2. You plan to stay in Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nParis and Istanbul, Barcelona and Istanbul, Florence and Paris, Barcelona and Paris, Barcelona and Florence, Istanbul and Salzburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to visit relatives in Florence between day 2 and day 3. You plan to stay in Paris for 3 days. You would like to visit Salzburg for 6 days. You plan to stay in Barcelona for 2 days. You want to meet a friend in Barcelona between day 1 and day 2. You plan to stay in Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Istanbul, from Barcelona to Istanbul, from Florence to Paris, from Barcelona to Paris, from Barcelona to Florence, from Istanbul to Salzburg.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Paris.\n**Day 3-5:** Visit Paris for 3 days.\n**Day 5:** Fly from Paris to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Salzburg.\n**Day 8-13:** Visit Salzburg for 6 days.",
    "id": "trip_planning_example_507",
    "estimated_output_tokens": 1184,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 6 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Florence, Fixed Schedule: Day 2 - 3.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 6 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 3).\n |- The departure day of Barcelona is Day 2. The arrival day of Florence is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Florence].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Salzburg, Istanbul] and explore these options in order.\n     |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Florence to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Florence, Paris].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Istanbul] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n       |- Check for direct flight from Paris to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Paris to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Florence, Paris, Istanbul].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n         |- Check for direct flight from Istanbul to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Barcelona, Florence, Paris, Istanbul, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Paris.\n**Day 3-5:** Visit Paris for 3 days.\n**Day 5:** Fly from Paris to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Salzburg.\n**Day 8-13:** Visit Salzburg for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Barcelona**Reykjavik**Madrid**Florence",
    "ground_truth_durations": "5**4**3**6**2",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 10,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Florence"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Naples",
        "Barcelona"
      ],
      [
        "Naples",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 1 and day 5. You plan to stay in Reykjavik for 3 days. You want to spend 6 days in Madrid. You would like to meet your friends at Madrid between day 10 and day 15 to tour together. You want to spend 2 days in Florence.\n\nHere are the cities that have direct flights:\nMadrid and Florence, Barcelona and Madrid, Barcelona and Florence, Barcelona and Reykjavik, Naples and Barcelona, Naples and Madrid, from Reykjavik to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 1 and day 5. You plan to stay in Reykjavik for 3 days. You want to spend 6 days in Madrid. You would like to meet your friends at Madrid between day 10 and day 15 to tour together. You want to spend 2 days in Florence.\n\nHere are the cities that have direct flights:\nfrom Madrid to Florence, from Barcelona to Madrid, from Barcelona to Florence, from Barcelona to Reykjavik, from Naples to Barcelona, from Naples to Madrid, from Reykjavik to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n**Day 10:** Fly from Reykjavik to Madrid.\n**Day 10-15:** Visit Madrid for 6 days.\n**Day 15:** Fly from Madrid to Florence.\n**Day 15-16:** Visit Florence for 2 days.",
    "id": "trip_planning_example_508",
    "estimated_output_tokens": 1247,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Duration: 3 days.\n* City: Madrid, Duration: 6 days, Fixed Schedule: Day 10 - 15.\n* City: Florence, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Fixed Schedule: Day 10 - 15.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 10 - 15).\n |- The departure day of Naples is Day 5. The arrival day of Madrid is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik, Florence] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Naples to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 10 - 15).\n   |- The departure day of Barcelona is Day 8. The arrival day of Madrid is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Barcelona to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Madrid (Day 10 - 15).\n     |- The departure day of Reykjavik is Day 10. The arrival day of Madrid is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Barcelona, Reykjavik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Naples, Barcelona, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Madrid to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Naples, Barcelona, Reykjavik, Madrid, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n**Day 10:** Fly from Reykjavik to Madrid.\n**Day 10-15:** Visit Madrid for 6 days.\n**Day 15:** Fly from Madrid to Florence.\n**Day 15-16:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Warsaw**Porto**Lyon**Bucharest",
    "ground_truth_durations": "4**4**4**4**5",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Riga",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 13 and day 17. You want to spend 4 days in Porto. You would like to visit Lyon for 4 days. You plan to stay in Riga for 4 days. During day 1 and day 4, you have to attend a conference in Riga. You want to spend 4 days in Warsaw.\n\nHere are the cities that have direct flights:\nRiga and Bucharest, Warsaw and Porto, Lyon and Bucharest, Warsaw and Bucharest, Porto and Lyon, Riga and Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 13 and day 17. You want to spend 4 days in Porto. You would like to visit Lyon for 4 days. You plan to stay in Riga for 4 days. During day 1 and day 4, you have to attend a conference in Riga. You want to spend 4 days in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Riga to Bucharest, from Warsaw to Porto, from Lyon to Bucharest, from Warsaw to Bucharest, from Porto to Lyon, from Riga to Warsaw.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Warsaw.\n**Day 4-7:** Visit Warsaw for 4 days.\n**Day 7:** Fly from Warsaw to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_509",
    "estimated_output_tokens": 1357,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Porto, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Warsaw, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 13 - 17).\n |- The departure day of Riga is Day 4. The arrival day of Bucharest is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Lyon, Warsaw] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 13 - 17).\n   |- The departure day of Warsaw is Day 7. The arrival day of Bucharest is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Lyon] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 13 - 17).\n     |- The departure day of Porto is Day 10. The arrival day of Bucharest is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Riga, Warsaw, Porto].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Porto to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 13 - 17).\n       |- The departure day of Lyon is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Riga, Warsaw, Porto, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lyon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Riga, Warsaw, Porto, Lyon, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Warsaw.\n**Day 4-7:** Visit Warsaw for 4 days.\n**Day 7:** Fly from Warsaw to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Stockholm**Madrid**Seville**Edinburgh",
    "ground_truth_durations": "2**4**6**7**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 16,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Seville"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Seville",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit London for 2 days. You plan to stay in Seville for 7 days. You would like to visit Stockholm for 4 days. During day 2 and day 5, you have to attend a conference in Stockholm. You want to spend 6 days in Madrid. You would like to visit Edinburgh for 6 days. You would like to meet your friends at Edinburgh between day 16 and day 21 to tour together.\n\nHere are the cities that have direct flights:\nMadrid and Seville, Madrid and Edinburgh, London and Madrid, London and Edinburgh, Stockholm and Edinburgh, London and Stockholm, Stockholm and Madrid, Seville and Edinburgh.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit London for 2 days. You plan to stay in Seville for 7 days. You would like to visit Stockholm for 4 days. During day 2 and day 5, you have to attend a conference in Stockholm. You want to spend 6 days in Madrid. You would like to visit Edinburgh for 6 days. You would like to meet your friends at Edinburgh between day 16 and day 21 to tour together.\n\nHere are the cities that have direct flights:\nfrom Madrid to Seville, from Madrid to Edinburgh, from London to Madrid, from London to Edinburgh, from Stockholm to Edinburgh, from London to Stockholm, from Stockholm to Madrid, from Seville to Edinburgh.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Seville.\n**Day 10-16:** Visit Seville for 7 days.\n**Day 16:** Fly from Seville to Edinburgh.\n**Day 16-21:** Visit Edinburgh for 6 days.",
    "id": "trip_planning_example_510",
    "estimated_output_tokens": 1291,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days.\n* City: Seville, Duration: 7 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Madrid, Duration: 6 days.\n* City: Edinburgh, Duration: 6 days, Fixed Schedule: Day 16 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 2 - 5.\n* City: Edinburgh, Fixed Schedule: Day 16 - 21.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Seville, Duration: 7 days.\n* City: Madrid, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Seville, Madrid] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 5).\n |- The departure day of London is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 16 - 21).\n   |- The departure day of Stockholm is Day 5. The arrival day of Edinburgh is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Madrid] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Stockholm to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Stockholm to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 16 - 21).\n     |- The departure day of Madrid is Day 10. The arrival day of Edinburgh is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Stockholm, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Edinburgh (Day 16 - 21).\n       |- The departure day of Seville is Day 16. The arrival day of Edinburgh is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [London, Stockholm, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Seville to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [London, Stockholm, Madrid, Seville, Edinburgh].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Madrid.\n**Day 5-10:** Visit Madrid for 6 days.\n**Day 10:** Fly from Madrid to Seville.\n**Day 10-16:** Visit Seville for 7 days.\n**Day 16:** Fly from Seville to Edinburgh.\n**Day 16-21:** Visit Edinburgh for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Copenhagen**Santorini**Oslo**Reykjavik",
    "ground_truth_durations": "5**6**3**4**2",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Milan",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You want to spend 2 days in Reykjavik. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 1 and day 5 to tour together. You would like to visit Santorini for 3 days. From day 10 to day 12, there is a annual show you want to attend in Santorini. You would like to visit Copenhagen for 6 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Oslo, Copenhagen and Santorini, Milan and Santorini, Milan and Copenhagen, from Santorini to Oslo, Copenhagen and Reykjavik, Milan and Oslo, Oslo and Reykjavik, Milan and Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You want to spend 2 days in Reykjavik. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 1 and day 5 to tour together. You would like to visit Santorini for 3 days. From day 10 to day 12, there is a annual show you want to attend in Santorini. You would like to visit Copenhagen for 6 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Oslo, from Copenhagen to Santorini, from Milan to Santorini, from Milan to Copenhagen, from Santorini to Oslo, from Copenhagen to Reykjavik, from Milan to Oslo, from Oslo to Reykjavik, from Milan to Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-10:** Visit Copenhagen for 6 days.\n**Day 10:** Fly from Copenhagen to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_511",
    "estimated_output_tokens": 2081,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Copenhagen, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Oslo, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Copenhagen, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 10 - 12).\n |- The departure day of Milan is Day 5. The arrival day of Santorini is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Milan to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 10 - 12).\n   |- The departure day of Oslo is Day 8. The arrival day of Santorini is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Milan, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 10 - 12).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Santorini is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Reykjavik to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Oslo to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 10 - 12).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Santorini is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Reykjavik to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Milan to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 10 - 12).\n   |- The departure day of Copenhagen is Day 10. The arrival day of Santorini is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Milan, Copenhagen].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Copenhagen to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Milan, Copenhagen, Santorini].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Santorini to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Milan, Copenhagen, Santorini, Oslo].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Milan, Copenhagen, Santorini, Oslo, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-10:** Visit Copenhagen for 6 days.\n**Day 10:** Fly from Copenhagen to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Munich**Bucharest**Riga**Vilnius",
    "ground_truth_durations": "4**4**2**2**2",
    "num_cities": 5,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to meet a friend in Reykjavik between day 1 and day 4. You want to spend 2 days in Vilnius. You want to spend 2 days in Bucharest. You would like to visit Munich for 4 days. You plan to stay in Riga for 2 days. You are going to attend a wedding in Riga between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, Reykjavik and Munich, Bucharest and Riga, Munich and Bucharest, from Vilnius to Munich, from Riga to Munich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to meet a friend in Reykjavik between day 1 and day 4. You want to spend 2 days in Vilnius. You want to spend 2 days in Bucharest. You would like to visit Munich for 4 days. You plan to stay in Riga for 2 days. You are going to attend a wedding in Riga between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, from Reykjavik to Munich, from Bucharest to Riga, from Munich to Bucharest, from Vilnius to Munich, from Riga to Munich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 10 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_512",
    "estimated_output_tokens": 1446,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Munich, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 4.\n* City: Riga, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 9).\n |- The departure day of Reykjavik is Day 4. The arrival day of Riga is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Munich] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 8 - 9).\n   |- The departure day of Munich is Day 7. The arrival day of Riga is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 8 - 9).\n     |- The departure day of Bucharest is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Munich, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Munich, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Munich, Bucharest, Riga, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Krakow**Manchester**Paris**Lyon",
    "ground_truth_durations": "4**7**3**6**6",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 10,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Paris"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Brussels",
        "Paris"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Brussels",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 6 days. You want to spend 6 days in Paris. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You would like to visit Krakow for 7 days. You plan to stay in Manchester for 3 days. During day 10 and day 12, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nKrakow and Paris, Brussels and Manchester, Manchester and Paris, Paris and Lyon, Brussels and Paris, Brussels and Lyon, Krakow and Manchester, Brussels and Krakow.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 6 days. You want to spend 6 days in Paris. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You would like to visit Krakow for 7 days. You plan to stay in Manchester for 3 days. During day 10 and day 12, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nfrom Krakow to Paris, from Brussels to Manchester, from Manchester to Paris, from Paris to Lyon, from Brussels to Paris, from Brussels to Lyon, from Krakow to Manchester, from Brussels to Krakow.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Krakow.\n**Day 4-10:** Visit Krakow for 7 days.\n**Day 10:** Fly from Krakow to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Paris.\n**Day 12-17:** Visit Paris for 6 days.\n**Day 17:** Fly from Paris to Lyon.\n**Day 17-22:** Visit Lyon for 6 days.",
    "id": "trip_planning_example_513",
    "estimated_output_tokens": 1896,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 6 days.\n* City: Paris, Duration: 6 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 7 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 4.\n* City: Manchester, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Lyon, Duration: 6 days.\n* City: Paris, Duration: 6 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 10 - 12).\n |- The departure day of Brussels is Day 4. The arrival day of Manchester is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Krakow] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Brussels to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 10 - 12).\n   |- The departure day of Lyon is Day 9. The arrival day of Manchester is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Brussels, Lyon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Krakow] and explore these options in order.\n     |- Try arranging to visit Paris from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Lyon to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Brussels to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 10 - 12).\n   |- The departure day of Paris is Day 9. The arrival day of Manchester is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Brussels, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Paris to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 10 - 12).\n     |- The departure day of Lyon is Day 14. The arrival day of Manchester is Day 10. Day 14 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Paris to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Brussels to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 10 - 12).\n   |- The departure day of Krakow is Day 10. The arrival day of Manchester is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Brussels, Krakow].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Krakow to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Brussels, Krakow, Manchester].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Paris] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Manchester to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Brussels, Krakow, Manchester, Paris].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n         |- Check for direct flight from Paris to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Brussels, Krakow, Manchester, Paris, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Krakow.\n**Day 4-10:** Visit Krakow for 7 days.\n**Day 10:** Fly from Krakow to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Paris.\n**Day 12-17:** Visit Paris for 6 days.\n**Day 17:** Fly from Paris to Lyon.\n**Day 17-22:** Visit Lyon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lisbon**Porto**Paris**Tallinn",
    "ground_truth_durations": "3**2**3**4**6",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Paris"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Lisbon",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You would like to visit Paris for 4 days. You plan to stay in Porto for 3 days. During day 4 and day 6, you have to attend a conference in Porto. You want to spend 6 days in Tallinn. You would like to meet your friends at Tallinn between day 9 and day 14 to tour together. You plan to stay in Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nPorto and Paris, Bucharest and Paris, Paris and Tallinn, Bucharest and Lisbon, Lisbon and Paris, Lisbon and Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You would like to visit Paris for 4 days. You plan to stay in Porto for 3 days. During day 4 and day 6, you have to attend a conference in Porto. You want to spend 6 days in Tallinn. You would like to meet your friends at Tallinn between day 9 and day 14 to tour together. You plan to stay in Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Paris, from Bucharest to Paris, from Paris to Tallinn, from Bucharest to Lisbon, from Lisbon to Paris, from Lisbon to Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Paris.\n**Day 6-9:** Visit Paris for 4 days.\n**Day 9:** Fly from Paris to Tallinn.\n**Day 9-14:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_514",
    "estimated_output_tokens": 1870,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Tallinn, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Bucharest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 4 - 6.\n* City: Tallinn, Fixed Schedule: Day 9 - 14.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Paris, Bucharest] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 4 - 6).\n |- The departure day of Lisbon is Day 2. The arrival day of Porto is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Bucharest] and explore these options in order.\n   |- Try arranging to visit Paris from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lisbon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 4 - 6).\n   |- The departure day of Paris is Day 5. The arrival day of Porto is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 4 - 6).\n |- The departure day of Paris is Day 4. The arrival day of Porto is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Paris to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 4 - 6).\n |- The departure day of Bucharest is Day 3. The arrival day of Porto is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Paris] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 4 - 6).\n   |- The departure day of Lisbon is Day 4. The arrival day of Porto is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Lisbon to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 9 - 14).\n     |- The departure day of Porto is Day 6. The arrival day of Tallinn is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Lisbon, Porto].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n       |- Try arranging to visit Paris from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Porto to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 9 - 14).\n       |- The departure day of Paris is Day 9. The arrival day of Tallinn is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Lisbon, Porto, Paris].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n         |- Check for direct flight from Paris to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Lisbon, Porto, Paris, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Paris.\n**Day 6-9:** Visit Paris for 4 days.\n**Day 9:** Fly from Paris to Tallinn.\n**Day 9-14:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Krakow**Barcelona**Porto**Istanbul",
    "ground_truth_durations": "5**6**7**6**2",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Porto",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 7 days. You plan to stay in Porto for 6 days. You would like to visit Istanbul for 2 days. You are going to attend a wedding in Istanbul between day 21 and day 22. You want to spend 5 days in Stockholm. You have to attend a workshop in Stockholm between day 1 and day 5. You would like to visit Krakow for 6 days.\n\nHere are the cities that have direct flights:\nStockholm and Barcelona, Krakow and Barcelona, Barcelona and Istanbul, Stockholm and Krakow, Barcelona and Porto, Stockholm and Istanbul, Krakow and Istanbul, Porto and Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 7 days. You plan to stay in Porto for 6 days. You would like to visit Istanbul for 2 days. You are going to attend a wedding in Istanbul between day 21 and day 22. You want to spend 5 days in Stockholm. You have to attend a workshop in Stockholm between day 1 and day 5. You would like to visit Krakow for 6 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Barcelona, from Krakow to Barcelona, from Barcelona to Istanbul, from Stockholm to Krakow, from Barcelona to Porto, from Stockholm to Istanbul, from Krakow to Istanbul, from Porto to Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Krakow.\n**Day 5-10:** Visit Krakow for 6 days.\n**Day 10:** Fly from Krakow to Barcelona.\n**Day 10-16:** Visit Barcelona for 7 days.\n**Day 16:** Fly from Barcelona to Porto.\n**Day 16-21:** Visit Porto for 6 days.\n**Day 21:** Fly from Porto to Istanbul.\n**Day 21-22:** Visit Istanbul for 2 days.",
    "id": "trip_planning_example_515",
    "estimated_output_tokens": 1811,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 7 days.\n* City: Porto, Duration: 6 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 7 days.\n* City: Porto, Duration: 6 days.\n* City: Krakow, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 21 - 22).\n |- The departure day of Stockholm is Day 5. The arrival day of Istanbul is Day 21. Day 5 is not later than (<=) Day 21. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto, Krakow] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Stockholm to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 21 - 22).\n   |- The departure day of Barcelona is Day 11. The arrival day of Istanbul is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Stockholm, Barcelona].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Krakow] and explore these options in order.\n     |- Try arranging to visit Porto from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Barcelona to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 21 - 22).\n     |- The departure day of Porto is Day 16. The arrival day of Istanbul is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Stockholm, Barcelona, Porto].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Porto to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Stockholm to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Stockholm to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 21 - 22).\n   |- The departure day of Krakow is Day 10. The arrival day of Istanbul is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Stockholm, Krakow].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Krakow to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 21 - 22).\n     |- The departure day of Barcelona is Day 16. The arrival day of Istanbul is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Stockholm, Krakow, Barcelona].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Barcelona to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Istanbul (Day 21 - 22).\n       |- The departure day of Porto is Day 21. The arrival day of Istanbul is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Stockholm, Krakow, Barcelona, Porto].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- Yes. The city with an arrival day of Day 21 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n         |- Check for direct flight from Porto to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Stockholm, Krakow, Barcelona, Porto, Istanbul].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Krakow.\n**Day 5-10:** Visit Krakow for 6 days.\n**Day 10:** Fly from Krakow to Barcelona.\n**Day 10-16:** Visit Barcelona for 7 days.\n**Day 16:** Fly from Barcelona to Porto.\n**Day 16-21:** Visit Porto for 6 days.\n**Day 21:** Fly from Porto to Istanbul.\n**Day 21-22:** Visit Istanbul for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Milan**Santorini**London**Lyon",
    "ground_truth_durations": "4**7**7**6**7",
    "num_cities": 5,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 16,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Milan",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 4 days. You plan to stay in Milan for 7 days. You want to spend 7 days in Santorini. During day 10 and day 16, you have to attend a conference in Santorini. You would like to visit London for 6 days. You would like to meet your friends at London between day 16 and day 21 to tour together. You want to spend 7 days in Lyon.\n\nHere are the cities that have direct flights:\nLisbon and Lyon, Santorini and London, Milan and Santorini, Lisbon and Milan, London and Lyon, Lisbon and London, Milan and London.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 4 days. You plan to stay in Milan for 7 days. You want to spend 7 days in Santorini. During day 10 and day 16, you have to attend a conference in Santorini. You would like to visit London for 6 days. You would like to meet your friends at London between day 16 and day 21 to tour together. You want to spend 7 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Lyon, from Santorini to London, from Milan to Santorini, from Lisbon to Milan, from London to Lyon, from Lisbon to London, from Milan to London.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 27 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Milan.\n**Day 4-10:** Visit Milan for 7 days.\n**Day 10:** Fly from Milan to Santorini.\n**Day 10-16:** Visit Santorini for 7 days.\n**Day 16:** Fly from Santorini to London.\n**Day 16-21:** Visit London for 6 days.\n**Day 21:** Fly from London to Lyon.\n**Day 21-27:** Visit Lyon for 7 days.",
    "id": "trip_planning_example_516",
    "estimated_output_tokens": 1241,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 4 days.\n* City: Milan, Duration: 7 days.\n* City: Santorini, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: London, Duration: 6 days, Fixed Schedule: Day 16 - 21.\n* City: Lyon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 10 - 16.\n* City: London, Fixed Schedule: Day 16 - 21.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 4 days.\n* City: Milan, Duration: 7 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Milan, Lyon] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 10 - 16).\n |- The departure day of Lisbon is Day 4. The arrival day of Santorini is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Lisbon to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 10 - 16).\n   |- The departure day of Milan is Day 10. The arrival day of Santorini is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Lisbon, Milan].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: London (Day 16 - 21).\n     |- The departure day of Santorini is Day 16. The arrival day of London is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Lisbon, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- Yes. The city with an arrival day of Day 16 - is fixed: London.\n       |- Try arranging to visit London from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Santorini to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Lisbon, Milan, Santorini, London].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 21. Duration: 7 days. Schedule: Day 21 - 27.\n         |- Check for direct flight from London to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 27. Current plan: [Lisbon, Milan, Santorini, London, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Milan.\n**Day 4-10:** Visit Milan for 7 days.\n**Day 10:** Fly from Milan to Santorini.\n**Day 10-16:** Visit Santorini for 7 days.\n**Day 16:** Fly from Santorini to London.\n**Day 16-21:** Visit London for 6 days.\n**Day 21:** Fly from London to Lyon.\n**Day 21-27:** Visit Lyon for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Warsaw**Stuttgart**Copenhagen**Dubrovnik",
    "ground_truth_durations": "6**2**7**3**5",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Copenhagen"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to visit Warsaw for 2 days. You want to spend 7 days in Stuttgart. During day 7 and day 13, you have to attend a conference in Stuttgart. You would like to visit Bucharest for 6 days. You are going to attend a wedding in Bucharest between day 1 and day 6. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nWarsaw and Copenhagen, Stuttgart and Copenhagen, Warsaw and Stuttgart, Bucharest and Copenhagen, Bucharest and Warsaw, Copenhagen and Dubrovnik.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to visit Warsaw for 2 days. You want to spend 7 days in Stuttgart. During day 7 and day 13, you have to attend a conference in Stuttgart. You would like to visit Bucharest for 6 days. You are going to attend a wedding in Bucharest between day 1 and day 6. You want to spend 3 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Copenhagen, from Stuttgart to Copenhagen, from Warsaw to Stuttgart, from Bucharest to Copenhagen, from Bucharest to Warsaw, from Copenhagen to Dubrovnik.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-6:** Arriving in Bucharest and visit Bucharest for 6 days.\n**Day 6:** Fly from Bucharest to Warsaw.\n**Day 6-7:** Visit Warsaw for 2 days.\n**Day 7:** Fly from Warsaw to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.\n**Day 13:** Fly from Stuttgart to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Dubrovnik.\n**Day 15-19:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_517",
    "estimated_output_tokens": 1298,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Stuttgart, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 6.\n* City: Stuttgart, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 13).\n |- The departure day of Bucharest is Day 6. The arrival day of Stuttgart is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Warsaw, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Bucharest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 13).\n   |- The departure day of Warsaw is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Warsaw to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Bucharest, Warsaw, Stuttgart].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Stuttgart to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Stuttgart to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Bucharest, Warsaw, Stuttgart, Copenhagen].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Bucharest, Warsaw, Stuttgart, Copenhagen, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Bucharest and visit Bucharest for 6 days.\n**Day 6:** Fly from Bucharest to Warsaw.\n**Day 6-7:** Visit Warsaw for 2 days.\n**Day 7:** Fly from Warsaw to Stuttgart.\n**Day 7-13:** Visit Stuttgart for 7 days.\n**Day 13:** Fly from Stuttgart to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Dubrovnik.\n**Day 15-19:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Nice**Mykonos**Madrid**Florence",
    "ground_truth_durations": "5**2**5**7**4",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Stockholm",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 2 days. During day 5 and day 6, you have to attend a conference in Nice. You would like to visit Stockholm for 5 days. You would like to visit Florence for 4 days. You would like to visit Mykonos for 5 days. From day 6 to day 10, there is a annual show you want to attend in Mykonos. You plan to stay in Madrid for 7 days.\n\nHere are the cities that have direct flights:\nStockholm and Nice, Nice and Mykonos, Nice and Madrid, Mykonos and Madrid, Madrid and Florence, Stockholm and Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 2 days. During day 5 and day 6, you have to attend a conference in Nice. You would like to visit Stockholm for 5 days. You would like to visit Florence for 4 days. You would like to visit Mykonos for 5 days. From day 6 to day 10, there is a annual show you want to attend in Mykonos. You plan to stay in Madrid for 7 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Nice, from Nice to Mykonos, from Nice to Madrid, from Mykonos to Madrid, from Madrid to Florence, from Stockholm to Madrid.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Madrid.\n**Day 10-16:** Visit Madrid for 7 days.\n**Day 16:** Fly from Madrid to Florence.\n**Day 16-19:** Visit Florence for 4 days.",
    "id": "trip_planning_example_518",
    "estimated_output_tokens": 1241,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Stockholm, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Madrid, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 5 - 6.\n* City: Mykonos, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Madrid, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Florence, Madrid] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 5 - 6).\n |- The departure day of Stockholm is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Stockholm to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Nice is Day 6. The arrival day of Mykonos is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Nice to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stockholm, Nice, Mykonos].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n       |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Mykonos to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Mykonos to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Stockholm, Nice, Mykonos, Madrid].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Madrid to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stockholm, Nice, Mykonos, Madrid, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Madrid.\n**Day 10-16:** Visit Madrid for 7 days.\n**Day 16:** Fly from Madrid to Florence.\n**Day 16-19:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Naples**Venice**Vienna**Riga",
    "ground_truth_durations": "5**7**6**3**5",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Venice"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Naples",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You plan to stay in Vienna for 3 days. You want to spend 5 days in Geneva. From day 1 to day 5, there is a annual show you want to attend in Geneva. You want to spend 6 days in Venice. You would like to visit Naples for 7 days.\n\nHere are the cities that have direct flights:\nNaples and Venice, Geneva and Naples, Venice and Vienna, Geneva and Vienna, Vienna and Riga, Naples and Vienna.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You plan to stay in Vienna for 3 days. You want to spend 5 days in Geneva. From day 1 to day 5, there is a annual show you want to attend in Geneva. You want to spend 6 days in Venice. You would like to visit Naples for 7 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Venice, from Geneva to Naples, from Venice to Vienna, from Geneva to Vienna, from Vienna to Riga, from Naples to Vienna.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Naples.\n**Day 5-11:** Visit Naples for 7 days.\n**Day 11:** Fly from Naples to Venice.\n**Day 11-16:** Visit Venice for 6 days.\n**Day 16:** Fly from Venice to Vienna.\n**Day 16-18:** Visit Vienna for 3 days.\n**Day 18:** Fly from Vienna to Riga.\n**Day 18-22:** Visit Riga for 5 days.",
    "id": "trip_planning_example_519",
    "estimated_output_tokens": 2266,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Venice, Duration: 6 days.\n* City: Naples, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Venice, Duration: 6 days.\n* City: Naples, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Vienna, Venice, Naples] and explore these options in order.\n   |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Geneva to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Geneva, Vienna, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Naples] and explore these options in order.\n       |- Try arranging to visit Venice from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Vienna to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Vienna to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Geneva to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Geneva, Naples].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Vienna, Venice] and explore these options in order.\n     |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Naples to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Naples to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Geneva, Naples, Vienna].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Venice] and explore these options in order.\n       |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Vienna to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Geneva, Naples, Vienna, Riga].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n         |- Check for direct flight from Riga to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Vienna to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Naples to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Geneva, Naples, Venice].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vienna] and explore these options in order.\n       |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n       |- Check for direct flight from Venice to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Geneva, Naples, Venice, Vienna].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n         |- Check for direct flight from Vienna to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Geneva, Naples, Venice, Vienna, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Naples.\n**Day 5-11:** Visit Naples for 7 days.\n**Day 11:** Fly from Naples to Venice.\n**Day 11-16:** Visit Venice for 6 days.\n**Day 16:** Fly from Venice to Vienna.\n**Day 16-18:** Visit Vienna for 3 days.\n**Day 18:** Fly from Vienna to Riga.\n**Day 18-22:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**London**Santorini**Milan**Porto",
    "ground_truth_durations": "4**5**4**7**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Santorini",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 1 and day 4. You would like to visit Milan for 7 days. You plan to stay in Porto for 5 days. You plan to visit relatives in Porto between day 17 and day 21. You plan to stay in Santorini for 4 days. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nStuttgart and Milan, London and Santorini, Stuttgart and London, Milan and Porto, London and Milan, Stuttgart and Porto, Santorini and Milan.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 1 and day 4. You would like to visit Milan for 7 days. You plan to stay in Porto for 5 days. You plan to visit relatives in Porto between day 17 and day 21. You plan to stay in Santorini for 4 days. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Milan, from London to Santorini, from Stuttgart to London, from Milan to Porto, from London to Milan, from Stuttgart to Porto, from Santorini to Milan.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Milan.\n**Day 11-17:** Visit Milan for 7 days.\n**Day 17:** Fly from Milan to Porto.\n**Day 17-21:** Visit Porto for 5 days.",
    "id": "trip_planning_example_520",
    "estimated_output_tokens": 1879,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Milan, Duration: 7 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Santorini, Duration: 4 days.\n* City: London, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Porto, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Milan, Duration: 7 days.\n* City: Santorini, Duration: 4 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 17 - 21).\n |- The departure day of Stuttgart is Day 4. The arrival day of Porto is Day 17. Day 4 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, London] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Stuttgart to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 17 - 21).\n   |- The departure day of Milan is Day 10. The arrival day of Porto is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Stuttgart, Milan].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, London] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Milan to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Milan to London.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 17 - 21).\n   |- The departure day of London is Day 8. The arrival day of Porto is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Santorini] and explore these options in order.\n     |- Try arranging to visit Milan from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from London to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 17 - 21).\n     |- The departure day of Milan is Day 14. The arrival day of Porto is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Stuttgart, London, Milan].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Milan to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 17 - 21).\n     |- The departure day of Santorini is Day 11. The arrival day of Porto is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, London, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n       |- Try arranging to visit Milan from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 17 - 21).\n       |- The departure day of Milan is Day 17. The arrival day of Porto is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Stuttgart, London, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Milan to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Stuttgart, London, Santorini, Milan, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Milan.\n**Day 11-17:** Visit Milan for 7 days.\n**Day 17:** Fly from Milan to Porto.\n**Day 17-21:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Split**Athens**Zurich**Helsinki",
    "ground_truth_durations": "5**2**5**4**2",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Zurich"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Split",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You want to spend 5 days in Athens. You have to attend a workshop in Athens between day 6 and day 10. You want to spend 5 days in Lyon. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 5 and day 6. You plan to stay in Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nSplit and Zurich, Athens and Zurich, Lyon and Split, Split and Helsinki, Zurich and Helsinki, Split and Athens.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You want to spend 5 days in Athens. You have to attend a workshop in Athens between day 6 and day 10. You want to spend 5 days in Lyon. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 5 and day 6. You plan to stay in Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nfrom Split to Zurich, from Athens to Zurich, from Lyon to Split, from Split to Helsinki, from Zurich to Helsinki, from Split to Athens.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.",
    "id": "trip_planning_example_521",
    "estimated_output_tokens": 1666,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Lyon, Duration: 5 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Helsinki, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 5 - 6.\n* City: Athens, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Lyon, Helsinki] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 6).\n |- The departure day of Zurich is Day 4. The arrival day of Split is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Helsinki] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Zurich to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 5 - 6).\n   |- The departure day of Helsinki is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 6).\n |- The departure day of Lyon is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n   |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 6 - 10).\n   |- The departure day of Split is Day 6. The arrival day of Athens is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Split to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Split, Athens].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Helsinki] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Athens to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lyon, Split, Athens, Zurich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Zurich to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Split, Athens, Zurich, Helsinki].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Valencia**Istanbul**Stockholm**Dubrovnik",
    "ground_truth_durations": "5**6**5**6**6",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You have to attend a workshop in Valencia between day 5 and day 10. You plan to stay in Istanbul for 5 days. You want to spend 5 days in Lyon. You want to spend 6 days in Dubrovnik. You want to spend 6 days in Stockholm.\n\nHere are the cities that have direct flights:\nStockholm and Dubrovnik, Istanbul and Stockholm, Lyon and Valencia, Valencia and Istanbul, Lyon and Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Valencia. You have to attend a workshop in Valencia between day 5 and day 10. You plan to stay in Istanbul for 5 days. You want to spend 5 days in Lyon. You want to spend 6 days in Dubrovnik. You want to spend 6 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Dubrovnik, from Istanbul to Stockholm, from Lyon to Valencia, from Valencia to Istanbul, from Lyon to Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Valencia.\n**Day 5-10:** Visit Valencia for 6 days.\n**Day 10:** Fly from Valencia to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to Stockholm.\n**Day 14-19:** Visit Stockholm for 6 days.\n**Day 19:** Fly from Stockholm to Dubrovnik.\n**Day 19-24:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_522",
    "estimated_output_tokens": 1437,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Istanbul, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Dubrovnik, Duration: 6 days.\n* City: Stockholm, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 5 - 10.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Dubrovnik, Duration: 6 days.\n* City: Stockholm, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Lyon, Dubrovnik, Stockholm] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 10).\n |- The departure day of Istanbul is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Istanbul to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 10).\n |- The departure day of Lyon is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Stockholm] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Valencia to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Lyon, Valencia, Istanbul].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stockholm] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Istanbul to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Istanbul to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Lyon, Valencia, Istanbul, Stockholm].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 19. Duration: 6 days. Schedule: Day 19 - 24.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Lyon, Valencia, Istanbul, Stockholm, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Valencia.\n**Day 5-10:** Visit Valencia for 6 days.\n**Day 10:** Fly from Valencia to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to Stockholm.\n**Day 14-19:** Visit Stockholm for 6 days.\n**Day 19:** Fly from Stockholm to Dubrovnik.\n**Day 19-24:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Geneva**Amsterdam**Venice**Warsaw",
    "ground_truth_durations": "3**7**4**7**2",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 3,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Geneva",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 3 days. You plan to stay in Venice for 7 days. You would like to visit Geneva for 7 days. You are going to attend a wedding in Geneva between day 3 and day 9. You plan to stay in Warsaw for 2 days. During day 18 and day 19, you have to attend a conference in Warsaw. You want to spend 4 days in Amsterdam.\n\nHere are the cities that have direct flights:\nGeneva and Warsaw, Prague and Warsaw, Amsterdam and Venice, Venice and Warsaw, Prague and Amsterdam, Prague and Geneva, Amsterdam and Warsaw, Geneva and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 3 days. You plan to stay in Venice for 7 days. You would like to visit Geneva for 7 days. You are going to attend a wedding in Geneva between day 3 and day 9. You plan to stay in Warsaw for 2 days. During day 18 and day 19, you have to attend a conference in Warsaw. You want to spend 4 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Geneva to Warsaw, from Prague to Warsaw, from Amsterdam to Venice, from Venice to Warsaw, from Prague to Amsterdam, from Prague to Geneva, from Amsterdam to Warsaw, from Geneva to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Geneva.\n**Day 3-9:** Visit Geneva for 7 days.\n**Day 9:** Fly from Geneva to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Venice.\n**Day 12-18:** Visit Venice for 7 days.\n**Day 18:** Fly from Venice to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.",
    "id": "trip_planning_example_523",
    "estimated_output_tokens": 1283,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days.\n* City: Venice, Duration: 7 days.\n* City: Geneva, Duration: 7 days, Fixed Schedule: Day 3 - 9.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Amsterdam, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 3 - 9.\n* City: Warsaw, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Venice, Duration: 7 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Venice, Amsterdam] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 3 - 9).\n |- The departure day of Prague is Day 3. The arrival day of Geneva is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Prague to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 18 - 19).\n   |- The departure day of Geneva is Day 9. The arrival day of Warsaw is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Prague, Geneva].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Venice from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Geneva to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Geneva to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 18 - 19).\n     |- The departure day of Amsterdam is Day 12. The arrival day of Warsaw is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Geneva, Amsterdam].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Amsterdam to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 18 - 19).\n       |- The departure day of Venice is Day 18. The arrival day of Warsaw is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Prague, Geneva, Amsterdam, Venice].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- Yes. The city with an arrival day of Day 18 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Venice to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Prague, Geneva, Amsterdam, Venice, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Geneva.\n**Day 3-9:** Visit Geneva for 7 days.\n**Day 9:** Fly from Geneva to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Venice.\n**Day 12-18:** Visit Venice for 7 days.\n**Day 18:** Fly from Venice to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Budapest**Copenhagen**Valencia**Zurich",
    "ground_truth_durations": "3**7**7**5**7",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 3,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 19,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Manchester",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 7 days. You plan to visit relatives in Budapest between day 3 and day 9. You would like to visit Valencia for 5 days. You want to spend 3 days in Manchester. You plan to stay in Zurich for 7 days. You are going to attend a wedding in Zurich between day 19 and day 25. You want to spend 7 days in Copenhagen.\n\nHere are the cities that have direct flights:\nValencia and Zurich, Manchester and Zurich, Copenhagen and Zurich, Budapest and Zurich, Manchester and Budapest, Budapest and Copenhagen, Copenhagen and Valencia, Manchester and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 7 days. You plan to visit relatives in Budapest between day 3 and day 9. You would like to visit Valencia for 5 days. You want to spend 3 days in Manchester. You plan to stay in Zurich for 7 days. You are going to attend a wedding in Zurich between day 19 and day 25. You want to spend 7 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Valencia to Zurich, from Manchester to Zurich, from Copenhagen to Zurich, from Budapest to Zurich, from Manchester to Budapest, from Budapest to Copenhagen, from Copenhagen to Valencia, from Manchester to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Budapest.\n**Day 3-9:** Visit Budapest for 7 days.\n**Day 9:** Fly from Budapest to Copenhagen.\n**Day 9-15:** Visit Copenhagen for 7 days.\n**Day 15:** Fly from Copenhagen to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Zurich.\n**Day 19-25:** Visit Zurich for 7 days.",
    "id": "trip_planning_example_524",
    "estimated_output_tokens": 1387,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 7 days, Fixed Schedule: Day 3 - 9.\n* City: Valencia, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n* City: Zurich, Duration: 7 days, Fixed Schedule: Day 19 - 25.\n* City: Copenhagen, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 3 - 9.\n* City: Zurich, Fixed Schedule: Day 19 - 25.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n* City: Copenhagen, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Manchester, Copenhagen] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 9).\n |- The departure day of Valencia is Day 5. The arrival day of Budapest is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 9).\n |- The departure day of Manchester is Day 3. The arrival day of Budapest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Manchester to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 19 - 25).\n   |- The departure day of Budapest is Day 9. The arrival day of Zurich is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Manchester, Budapest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Budapest to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Budapest to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Zurich (Day 19 - 25).\n     |- The departure day of Copenhagen is Day 15. The arrival day of Zurich is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Manchester, Budapest, Copenhagen].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Copenhagen to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Zurich (Day 19 - 25).\n       |- The departure day of Valencia is Day 19. The arrival day of Zurich is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Manchester, Budapest, Copenhagen, Valencia].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 19. Duration: 7 days. Schedule: Day 19 - 25.\n         |- Check for direct flight from Valencia to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Manchester, Budapest, Copenhagen, Valencia, Zurich].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Budapest.\n**Day 3-9:** Visit Budapest for 7 days.\n**Day 9:** Fly from Budapest to Copenhagen.\n**Day 9-15:** Visit Copenhagen for 7 days.\n**Day 15:** Fly from Copenhagen to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Zurich.\n**Day 19-25:** Visit Zurich for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Oslo**Reykjavik**Munich**Mykonos",
    "ground_truth_durations": "4**6**5**7**5",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Lyon",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 6 days. You would like to visit Reykjavik for 5 days. You would like to visit Munich for 7 days. You plan to stay in Lyon for 4 days. You have to attend a workshop in Lyon between day 1 and day 4. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nOslo and Munich, Munich and Mykonos, Lyon and Oslo, Reykjavik and Munich, Oslo and Reykjavik, Lyon and Munich.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 6 days. You would like to visit Reykjavik for 5 days. You would like to visit Munich for 7 days. You plan to stay in Lyon for 4 days. You have to attend a workshop in Lyon between day 1 and day 4. You want to spend 5 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Oslo to Munich, from Munich to Mykonos, from Lyon to Oslo, from Reykjavik to Munich, from Oslo to Reykjavik, from Lyon to Munich.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Oslo.\n**Day 4-9:** Visit Oslo for 6 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Munich.\n**Day 13-19:** Visit Munich for 7 days.\n**Day 19:** Fly from Munich to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_525",
    "estimated_output_tokens": 1148,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 6 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Munich, Duration: 7 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Munich, Duration: 7 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik, Munich, Mykonos] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Lyon to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Lyon, Oslo].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Munich, Mykonos] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Lyon, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n       |- Try arranging to visit Munich from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Reykjavik to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Lyon, Oslo, Reykjavik, Munich].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Munich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Lyon, Oslo, Reykjavik, Munich, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Oslo.\n**Day 4-9:** Visit Oslo for 6 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Munich.\n**Day 13-19:** Visit Munich for 7 days.\n**Day 19:** Fly from Munich to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Vienna**Geneva**Athens**Riga",
    "ground_truth_durations": "6**7**2**6**7",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 13,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Athens"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Athens",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Athens. From day 13 to day 18, there is a annual show you want to attend in Athens. You want to spend 6 days in Seville. You would like to visit Vienna for 7 days. You would like to visit Riga for 7 days. You plan to stay in Geneva for 2 days.\n\nHere are the cities that have direct flights:\nGeneva and Athens, Seville and Vienna, Vienna and Geneva, Vienna and Athens, Vienna and Riga, from Athens to Riga.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Athens. From day 13 to day 18, there is a annual show you want to attend in Athens. You want to spend 6 days in Seville. You would like to visit Vienna for 7 days. You would like to visit Riga for 7 days. You plan to stay in Geneva for 2 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Athens, from Seville to Vienna, from Vienna to Geneva, from Vienna to Athens, from Vienna to Riga, from Athens to Riga.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Vienna.\n**Day 6-12:** Visit Vienna for 7 days.\n**Day 12:** Fly from Vienna to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Athens.\n**Day 13-18:** Visit Athens for 6 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-24:** Visit Riga for 7 days.",
    "id": "trip_planning_example_526",
    "estimated_output_tokens": 1329,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n* City: Seville, Duration: 6 days.\n* City: Vienna, Duration: 7 days.\n* City: Riga, Duration: 7 days.\n* City: Geneva, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Seville, Duration: 6 days.\n* City: Vienna, Duration: 7 days.\n* City: Riga, Duration: 7 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Vienna, Riga, Geneva] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 13 - 18).\n |- The departure day of Seville is Day 6. The arrival day of Athens is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Riga, Geneva] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Seville to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Athens (Day 13 - 18).\n   |- The departure day of Vienna is Day 12. The arrival day of Athens is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Seville, Vienna].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Geneva] and explore these options in order.\n     |- Try arranging to visit Riga from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 13 - 18).\n     |- The departure day of Riga is Day 18. The arrival day of Athens is Day 13. Day 18 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Vienna to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 13 - 18).\n     |- The departure day of Geneva is Day 13. The arrival day of Athens is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Seville, Vienna, Geneva].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Geneva to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Seville, Vienna, Geneva, Athens].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Seville, Vienna, Geneva, Athens, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Vienna.\n**Day 6-12:** Visit Vienna for 7 days.\n**Day 12:** Fly from Vienna to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Athens.\n**Day 13-18:** Visit Athens for 6 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-24:** Visit Riga for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Prague**Split**Vienna**Dubrovnik",
    "ground_truth_durations": "4**7**7**4**6",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You would like to visit Split for 7 days. You want to meet a friend in Split between day 10 and day 16. You plan to stay in Vienna for 4 days. You plan to stay in Bucharest for 4 days. You have to attend a workshop in Bucharest between day 1 and day 4. You want to spend 7 days in Prague.\n\nHere are the cities that have direct flights:\nBucharest and Prague, Prague and Vienna, Split and Vienna, Bucharest and Vienna, Prague and Split, Vienna and Dubrovnik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You would like to visit Split for 7 days. You want to meet a friend in Split between day 10 and day 16. You plan to stay in Vienna for 4 days. You plan to stay in Bucharest for 4 days. You have to attend a workshop in Bucharest between day 1 and day 4. You want to spend 7 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Prague, from Prague to Vienna, from Split to Vienna, from Bucharest to Vienna, from Prague to Split, from Vienna to Dubrovnik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-10:** Visit Prague for 7 days.\n**Day 10:** Fly from Prague to Split.\n**Day 10-16:** Visit Split for 7 days.\n**Day 16:** Fly from Split to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-24:** Visit Dubrovnik for 6 days.",
    "id": "trip_planning_example_527",
    "estimated_output_tokens": 1673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 6 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Vienna, Duration: 4 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Prague, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Split, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 6 days.\n* City: Vienna, Duration: 4 days.\n* City: Prague, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 10 - 16).\n |- The departure day of Bucharest is Day 4. The arrival day of Split is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna, Prague] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Bucharest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Bucharest to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 10 - 16).\n   |- The departure day of Vienna is Day 7. The arrival day of Split is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Vienna to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 10 - 16).\n     |- The departure day of Dubrovnik is Day 12. The arrival day of Split is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Vienna to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Bucharest to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 10 - 16).\n   |- The departure day of Prague is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Bucharest, Prague].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n     |- Try arranging to visit Split from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Prague to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Prague, Split].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Split to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n       |- Check for direct flight from Split to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Bucharest, Prague, Split, Vienna].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 19. Duration: 6 days. Schedule: Day 19 - 24.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Bucharest, Prague, Split, Vienna, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-10:** Visit Prague for 7 days.\n**Day 10:** Fly from Prague to Split.\n**Day 10-16:** Visit Split for 7 days.\n**Day 16:** Fly from Split to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-24:** Visit Dubrovnik for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Prague**Rome**Athens**Dubrovnik",
    "ground_truth_durations": "2**4**6**4**2",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Prague",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 13 and day 14. You plan to stay in Athens for 4 days. You plan to visit relatives in Athens between day 10 and day 13. You would like to visit Krakow for 2 days. You plan to stay in Prague for 4 days. You would like to visit Rome for 6 days.\n\nHere are the cities that have direct flights:\nRome and Dubrovnik, Athens and Dubrovnik, Krakow and Prague, Rome and Athens, Prague and Athens, Prague and Rome.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 13 and day 14. You plan to stay in Athens for 4 days. You plan to visit relatives in Athens between day 10 and day 13. You would like to visit Krakow for 2 days. You plan to stay in Prague for 4 days. You would like to visit Rome for 6 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Dubrovnik, from Athens to Dubrovnik, from Krakow to Prague, from Rome to Athens, from Prague to Athens, from Prague to Rome.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Rome.\n**Day 5-10:** Visit Rome for 6 days.\n**Day 10:** Fly from Rome to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_528",
    "estimated_output_tokens": 1272,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Krakow, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Rome, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Rome, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Prague, Rome] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 10 - 13).\n |- The departure day of Krakow is Day 2. The arrival day of Athens is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Rome] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 10 - 13).\n   |- The departure day of Prague is Day 5. The arrival day of Athens is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n     |- Try arranging to visit Rome from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Prague to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 10 - 13).\n     |- The departure day of Rome is Day 10. The arrival day of Athens is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Prague, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Rome to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 14).\n       |- The departure day of Athens is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Prague, Rome, Athens].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Krakow, Prague, Rome, Athens, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Rome.\n**Day 5-10:** Visit Rome for 6 days.\n**Day 10:** Fly from Rome to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Venice**Hamburg**Geneva**Mykonos",
    "ground_truth_durations": "4**5**2**6**5",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Geneva",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You want to spend 2 days in Hamburg. You have to attend a workshop in Hamburg between day 8 and day 9. You would like to visit Mykonos for 5 days. You plan to stay in Naples for 4 days. You want to spend 6 days in Geneva.\n\nHere are the cities that have direct flights:\nNaples and Mykonos, Naples and Venice, Venice and Hamburg, Naples and Geneva, from Hamburg to Geneva, Geneva and Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You want to spend 2 days in Hamburg. You have to attend a workshop in Hamburg between day 8 and day 9. You would like to visit Mykonos for 5 days. You plan to stay in Naples for 4 days. You want to spend 6 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Naples to Mykonos, from Naples to Venice, from Venice to Hamburg, from Naples to Geneva, from Hamburg to Geneva, from Geneva to Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Geneva.\n**Day 9-14:** Visit Geneva for 6 days.\n**Day 14:** Fly from Geneva to Mykonos.\n**Day 14-18:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_529",
    "estimated_output_tokens": 1937,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Mykonos, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n* City: Geneva, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n* City: Geneva, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Mykonos, Naples, Geneva] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 9).\n |- The departure day of Venice is Day 5. The arrival day of Hamburg is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Naples, Geneva] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Venice to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 9).\n |- The departure day of Mykonos is Day 5. The arrival day of Hamburg is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Naples, Geneva] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Mykonos to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 9).\n |- The departure day of Naples is Day 4. The arrival day of Hamburg is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Mykonos, Geneva] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Naples to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 8 - 9).\n   |- The departure day of Venice is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Naples, Venice, Hamburg].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Geneva] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Hamburg to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Hamburg to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Naples, Venice, Hamburg, Geneva].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Geneva to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Naples, Venice, Hamburg, Geneva, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Geneva.\n**Day 9-14:** Visit Geneva for 6 days.\n**Day 14:** Fly from Geneva to Mykonos.\n**Day 14-18:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Lisbon**Lyon**Bucharest**Santorini",
    "ground_truth_durations": "4**7**5**6**4",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 10,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Bucharest. You want to spend 4 days in Santorini. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 1 and day 4. You would like to visit Lisbon for 7 days. You want to spend 5 days in Lyon. During day 10 and day 14, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, Bucharest and Santorini, Lisbon and Bucharest, Lisbon and Lyon, Lyon and Bucharest, Stockholm and Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Bucharest. You want to spend 4 days in Santorini. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 1 and day 4. You would like to visit Lisbon for 7 days. You want to spend 5 days in Lyon. During day 10 and day 14, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, from Bucharest to Santorini, from Lisbon to Bucharest, from Lisbon to Lyon, from Lyon to Bucharest, from Stockholm to Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Lisbon.\n**Day 4-10:** Visit Lisbon for 7 days.\n**Day 10:** Fly from Lisbon to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-19:** Visit Bucharest for 6 days.\n**Day 19:** Fly from Bucharest to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_530",
    "estimated_output_tokens": 1559,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 6 days.\n* City: Santorini, Duration: 4 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Duration: 7 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 6 days.\n* City: Santorini, Duration: 4 days.\n* City: Lisbon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 10 - 14).\n |- The departure day of Stockholm is Day 4. The arrival day of Lyon is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Lisbon] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Stockholm to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 10 - 14).\n   |- The departure day of Santorini is Day 7. The arrival day of Lyon is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Santorini to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Santorini to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Stockholm to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 10 - 14).\n   |- The departure day of Lisbon is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Stockholm, Lisbon].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Stockholm, Lisbon, Lyon].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Lyon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Stockholm, Lisbon, Lyon, Bucharest].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Stockholm, Lisbon, Lyon, Bucharest, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Lisbon.\n**Day 4-10:** Visit Lisbon for 7 days.\n**Day 10:** Fly from Lisbon to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-19:** Visit Bucharest for 6 days.\n**Day 19:** Fly from Bucharest to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Oslo**Brussels**Seville**Manchester",
    "ground_truth_durations": "3**7**6**4**3",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Frankfurt",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 7 days. You want to spend 3 days in Manchester. You want to meet a friend in Manchester between day 17 and day 19. You want to spend 3 days in Frankfurt. You would like to visit Brussels for 6 days. You have to attend a workshop in Brussels between day 9 and day 14. You want to spend 4 days in Seville.\n\nHere are the cities that have direct flights:\nBrussels and Manchester, Seville and Manchester, Frankfurt and Oslo, Oslo and Brussels, from Brussels to Frankfurt, Oslo and Manchester, Brussels and Seville, Frankfurt and Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 7 days. You want to spend 3 days in Manchester. You want to meet a friend in Manchester between day 17 and day 19. You want to spend 3 days in Frankfurt. You would like to visit Brussels for 6 days. You have to attend a workshop in Brussels between day 9 and day 14. You want to spend 4 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Brussels to Manchester, from Seville to Manchester, from Frankfurt to Oslo, from Oslo to Brussels, from Brussels to Frankfurt, from Oslo to Manchester, from Brussels to Seville, from Frankfurt to Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Oslo.\n**Day 3-9:** Visit Oslo for 7 days.\n**Day 9:** Fly from Oslo to Brussels.\n**Day 9-14:** Visit Brussels for 6 days.\n**Day 14:** Fly from Brussels to Seville.\n**Day 14-17:** Visit Seville for 4 days.\n**Day 17:** Fly from Seville to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_531",
    "estimated_output_tokens": 1547,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 7 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Frankfurt, Duration: 3 days.\n* City: Brussels, Duration: 6 days, Fixed Schedule: Day 9 - 14.\n* City: Seville, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 9 - 14.\n* City: Manchester, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Oslo, Duration: 7 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Frankfurt, Seville] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 9 - 14).\n |- The departure day of Oslo is Day 7. The arrival day of Brussels is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Seville] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Oslo to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Oslo to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 9 - 14).\n |- The departure day of Frankfurt is Day 3. The arrival day of Brussels is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Seville] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Frankfurt to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 9 - 14).\n   |- The departure day of Oslo is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Oslo].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Oslo to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 17 - 19).\n     |- The departure day of Brussels is Day 14. The arrival day of Manchester is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Frankfurt, Oslo, Brussels].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Brussels to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 17 - 19).\n       |- The departure day of Seville is Day 17. The arrival day of Manchester is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Frankfurt, Oslo, Brussels, Seville].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n         |- Check for direct flight from Seville to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Frankfurt, Oslo, Brussels, Seville, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Oslo.\n**Day 3-9:** Visit Oslo for 7 days.\n**Day 9:** Fly from Oslo to Brussels.\n**Day 9-14:** Visit Brussels for 6 days.\n**Day 14:** Fly from Brussels to Seville.\n**Day 14-17:** Visit Seville for 4 days.\n**Day 17:** Fly from Seville to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**London**Geneva**Paris**Riga",
    "ground_truth_durations": "6**7**4**2**3",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Geneva"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Athens",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Athens. You are going to attend a wedding in Athens between day 1 and day 6. You plan to stay in Riga for 3 days. You plan to stay in London for 7 days. From day 6 to day 12, there is a annual show you want to attend in London. You plan to stay in Geneva for 4 days. You want to spend 2 days in Paris.\n\nHere are the cities that have direct flights:\nAthens and Geneva, from Athens to Riga, London and Paris, Athens and Paris, Paris and Riga, London and Geneva, Geneva and Paris, Athens and London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Athens. You are going to attend a wedding in Athens between day 1 and day 6. You plan to stay in Riga for 3 days. You plan to stay in London for 7 days. From day 6 to day 12, there is a annual show you want to attend in London. You plan to stay in Geneva for 4 days. You want to spend 2 days in Paris.\n\nHere are the cities that have direct flights:\nfrom Athens to Geneva, from Athens to Riga, from London to Paris, from Athens to Paris, from Paris to Riga, from London to Geneva, from Geneva to Paris, from Athens to London.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Geneva.\n**Day 12-15:** Visit Geneva for 4 days.\n**Day 15:** Fly from Geneva to Paris.\n**Day 15-16:** Visit Paris for 2 days.\n**Day 16:** Fly from Paris to Riga.\n**Day 16-18:** Visit Riga for 3 days.",
    "id": "trip_planning_example_532",
    "estimated_output_tokens": 1232,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Riga, Duration: 3 days.\n* City: London, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Geneva, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 6.\n* City: London, Fixed Schedule: Day 6 - 12.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 6 - 12).\n |- The departure day of Athens is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n   |- Try arranging to visit London from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Athens to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Athens, London].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Paris] and explore these options in order.\n     |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from London to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from London to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Athens, London, Geneva].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Paris] and explore these options in order.\n       |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Geneva to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Geneva to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Athens, London, Geneva, Paris].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Paris to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Athens, London, Geneva, Paris, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Athens and visit Athens for 6 days.\n**Day 6:** Fly from Athens to London.\n**Day 6-12:** Visit London for 7 days.\n**Day 12:** Fly from London to Geneva.\n**Day 12-15:** Visit Geneva for 4 days.\n**Day 15:** Fly from Geneva to Paris.\n**Day 15-16:** Visit Paris for 2 days.\n**Day 16:** Fly from Paris to Riga.\n**Day 16-18:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Helsinki**Split**Amsterdam**Bucharest",
    "ground_truth_durations": "6**7**7**6**7",
    "num_cities": 5,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Amsterdam. You would like to visit Helsinki for 7 days. You want to meet a friend in Helsinki between day 6 and day 12. You would like to visit Milan for 6 days. From day 1 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Bucharest for 7 days. You plan to stay in Split for 7 days.\n\nHere are the cities that have direct flights:\nMilan and Amsterdam, Milan and Helsinki, Split and Amsterdam, Amsterdam and Bucharest, Helsinki and Split, Milan and Split, Helsinki and Amsterdam.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Amsterdam. You would like to visit Helsinki for 7 days. You want to meet a friend in Helsinki between day 6 and day 12. You would like to visit Milan for 6 days. From day 1 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Bucharest for 7 days. You plan to stay in Split for 7 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Amsterdam, from Milan to Helsinki, from Split to Amsterdam, from Amsterdam to Bucharest, from Helsinki to Split, from Milan to Split, from Helsinki to Amsterdam.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 29 days:\n\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Helsinki.\n**Day 6-12:** Visit Helsinki for 7 days.\n**Day 12:** Fly from Helsinki to Split.\n**Day 12-18:** Visit Split for 7 days.\n**Day 18:** Fly from Split to Amsterdam.\n**Day 18-23:** Visit Amsterdam for 6 days.\n**Day 23:** Fly from Amsterdam to Bucharest.\n**Day 23-29:** Visit Bucharest for 7 days.",
    "id": "trip_planning_example_533",
    "estimated_output_tokens": 1631,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 6 days.\n* City: Helsinki, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Milan, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Bucharest, Duration: 7 days.\n* City: Split, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 6.\n* City: Helsinki, Fixed Schedule: Day 6 - 12.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 6 days.\n* City: Bucharest, Duration: 7 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 12).\n |- The departure day of Milan is Day 6. The arrival day of Helsinki is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Milan to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Milan, Helsinki].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Split] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Helsinki to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Milan, Helsinki, Amsterdam].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Split] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n       |- Check for direct flight from Amsterdam to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 23. Current plan: [Milan, Helsinki, Amsterdam, Bucharest].\n        |- Check whether the city with an arrival day of Day 23 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 23. Duration: 7 days. Schedule: Day 23 - 29.\n         |- Check for direct flight from Bucharest to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n       |- Check for direct flight from Amsterdam to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Helsinki to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Milan, Helsinki, Split].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 18. Duration: 6 days. Schedule: Day 18 - 23.\n       |- Check for direct flight from Split to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 23. Current plan: [Milan, Helsinki, Split, Amsterdam].\n        |- Check whether the city with an arrival day of Day 23 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 23. Duration: 7 days. Schedule: Day 23 - 29.\n         |- Check for direct flight from Amsterdam to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 29. Current plan: [Milan, Helsinki, Split, Amsterdam, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Milan and visit Milan for 6 days.\n**Day 6:** Fly from Milan to Helsinki.\n**Day 6-12:** Visit Helsinki for 7 days.\n**Day 12:** Fly from Helsinki to Split.\n**Day 12-18:** Visit Split for 7 days.\n**Day 18:** Fly from Split to Amsterdam.\n**Day 18-23:** Visit Amsterdam for 6 days.\n**Day 23:** Fly from Amsterdam to Bucharest.\n**Day 23-29:** Visit Bucharest for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Warsaw**Stockholm**Barcelona**Seville",
    "ground_truth_durations": "2**5**3**7**3",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Warsaw",
        "Stockholm"
      ],
      [
        "Budapest",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 1 and day 2. You plan to stay in Seville for 3 days. You would like to meet your friends at Seville between day 14 and day 16 to tour together. You would like to visit Barcelona for 7 days. You want to spend 3 days in Stockholm.\n\nHere are the cities that have direct flights:\nWarsaw and Barcelona, Stockholm and Barcelona, Budapest and Warsaw, Barcelona and Seville, Warsaw and Stockholm, Budapest and Barcelona.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 1 and day 2. You plan to stay in Seville for 3 days. You would like to meet your friends at Seville between day 14 and day 16 to tour together. You would like to visit Barcelona for 7 days. You want to spend 3 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Barcelona, from Stockholm to Barcelona, from Budapest to Warsaw, from Barcelona to Seville, from Warsaw to Stockholm, from Budapest to Barcelona.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-2:** Arriving in Budapest and visit Budapest for 2 days.\n**Day 2:** Fly from Budapest to Warsaw.\n**Day 2-6:** Visit Warsaw for 5 days.\n**Day 6:** Fly from Warsaw to Stockholm.\n**Day 6-8:** Visit Stockholm for 3 days.\n**Day 8:** Fly from Stockholm to Barcelona.\n**Day 8-14:** Visit Barcelona for 7 days.\n**Day 14:** Fly from Barcelona to Seville.\n**Day 14-16:** Visit Seville for 3 days.",
    "id": "trip_planning_example_534",
    "estimated_output_tokens": 1515,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Barcelona, Duration: 7 days.\n* City: Stockholm, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 2.\n* City: Seville, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Barcelona, Duration: 7 days.\n* City: Stockholm, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 14 - 16).\n |- The departure day of Budapest is Day 2. The arrival day of Seville is Day 14. Day 2 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Barcelona, Stockholm] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Budapest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 14 - 16).\n   |- The departure day of Warsaw is Day 6. The arrival day of Seville is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Stockholm] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Warsaw to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 14 - 16).\n     |- The departure day of Barcelona is Day 12. The arrival day of Seville is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Budapest, Warsaw, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Barcelona to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Warsaw to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 14 - 16).\n     |- The departure day of Stockholm is Day 8. The arrival day of Seville is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Budapest, Warsaw, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Stockholm to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 14 - 16).\n       |- The departure day of Barcelona is Day 14. The arrival day of Seville is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Budapest, Warsaw, Stockholm, Barcelona].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Barcelona to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Budapest, Warsaw, Stockholm, Barcelona, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Budapest and visit Budapest for 2 days.\n**Day 2:** Fly from Budapest to Warsaw.\n**Day 2-6:** Visit Warsaw for 5 days.\n**Day 6:** Fly from Warsaw to Stockholm.\n**Day 6-8:** Visit Stockholm for 3 days.\n**Day 8:** Fly from Stockholm to Barcelona.\n**Day 8-14:** Visit Barcelona for 7 days.\n**Day 14:** Fly from Barcelona to Seville.\n**Day 14-16:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Copenhagen**Riga**Oslo**Split",
    "ground_truth_durations": "3**2**4**5**3",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Copenhagen",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 3 and day 4. You want to spend 3 days in Stuttgart. You would like to visit Riga for 4 days. You have to attend a workshop in Riga between day 4 and day 7. You would like to visit Split for 3 days.\n\nHere are the cities that have direct flights:\nStuttgart and Copenhagen, Riga and Oslo, Copenhagen and Riga, Copenhagen and Split, Stuttgart and Split, Oslo and Split, Copenhagen and Oslo.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 3 and day 4. You want to spend 3 days in Stuttgart. You would like to visit Riga for 4 days. You have to attend a workshop in Riga between day 4 and day 7. You would like to visit Split for 3 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Copenhagen, from Riga to Oslo, from Copenhagen to Riga, from Copenhagen to Split, from Stuttgart to Split, from Oslo to Split, from Copenhagen to Oslo.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Oslo.\n**Day 7-11:** Visit Oslo for 5 days.\n**Day 11:** Fly from Oslo to Split.\n**Day 11-13:** Visit Split for 3 days.",
    "id": "trip_planning_example_535",
    "estimated_output_tokens": 1287,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stuttgart, Duration: 3 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 3 - 4.\n* City: Riga, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Split] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 3 - 4).\n |- The departure day of Oslo is Day 5. The arrival day of Copenhagen is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 3 - 4).\n |- The departure day of Stuttgart is Day 3. The arrival day of Copenhagen is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 7).\n   |- The departure day of Copenhagen is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Copenhagen].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Copenhagen to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, Copenhagen, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Split] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, Copenhagen, Riga, Oslo].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stuttgart, Copenhagen, Riga, Oslo, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Copenhagen.\n**Day 3-4:** Visit Copenhagen for 2 days.\n**Day 4:** Fly from Copenhagen to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Oslo.\n**Day 7-11:** Visit Oslo for 5 days.\n**Day 11:** Fly from Oslo to Split.\n**Day 11-13:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Dublin**Santorini**Bucharest**Rome",
    "ground_truth_durations": "3**3**3**4**4",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 3 days. You would like to meet your friends at Santorini between day 5 and day 7 to tour together. You plan to stay in Rome for 4 days. During day 10 and day 13, you have to attend a conference in Rome. You want to spend 4 days in Bucharest. You would like to visit Dublin for 3 days. You plan to stay in Berlin for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Santorini, Santorini and Rome, Berlin and Dublin, Santorini and Bucharest, Berlin and Rome, Dublin and Rome, Dublin and Bucharest, Bucharest and Rome.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 3 days. You would like to meet your friends at Santorini between day 5 and day 7 to tour together. You plan to stay in Rome for 4 days. During day 10 and day 13, you have to attend a conference in Rome. You want to spend 4 days in Bucharest. You would like to visit Dublin for 3 days. You plan to stay in Berlin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Santorini, from Santorini to Rome, from Berlin to Dublin, from Santorini to Bucharest, from Berlin to Rome, from Dublin to Rome, from Dublin to Bucharest, from Bucharest to Rome.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Rome.\n**Day 10-13:** Visit Rome for 4 days.",
    "id": "trip_planning_example_536",
    "estimated_output_tokens": 2004,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Bucharest, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 7.\n* City: Rome, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Dublin, Berlin] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 7).\n |- The departure day of Bucharest is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Berlin] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 7).\n |- The departure day of Dublin is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Berlin] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 5 - 7).\n   |- The departure day of Bucharest is Day 6. The arrival day of Santorini is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 7).\n |- The departure day of Berlin is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Dublin] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 5 - 7).\n   |- The departure day of Dublin is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 10 - 13).\n     |- The departure day of Santorini is Day 7. The arrival day of Rome is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Dublin, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Santorini to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 10 - 13).\n       |- The departure day of Bucharest is Day 10. The arrival day of Rome is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Dublin, Santorini, Bucharest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Bucharest to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Dublin, Santorini, Bucharest, Rome].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Rome**Valencia**Berlin**Edinburgh",
    "ground_truth_durations": "6**3**7**2**4",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Berlin",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Rome. You want to spend 7 days in Valencia. You want to meet a friend in Valencia between day 8 and day 14. You would like to visit Berlin for 2 days. You plan to stay in Prague for 6 days. You have to attend a workshop in Prague between day 1 and day 6.\n\nHere are the cities that have direct flights:\nValencia and Berlin, Rome and Edinburgh, Prague and Valencia, Rome and Valencia, Prague and Edinburgh, Prague and Rome, Rome and Berlin, Berlin and Edinburgh.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Rome. You want to spend 7 days in Valencia. You want to meet a friend in Valencia between day 8 and day 14. You would like to visit Berlin for 2 days. You plan to stay in Prague for 6 days. You have to attend a workshop in Prague between day 1 and day 6.\n\nHere are the cities that have direct flights:\nfrom Valencia to Berlin, from Rome to Edinburgh, from Prague to Valencia, from Rome to Valencia, from Prague to Edinburgh, from Prague to Rome, from Rome to Berlin, from Berlin to Edinburgh.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Valencia.\n**Day 8-14:** Visit Valencia for 7 days.\n**Day 14:** Fly from Valencia to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Edinburgh.\n**Day 15-18:** Visit Edinburgh for 4 days.",
    "id": "trip_planning_example_537",
    "estimated_output_tokens": 1323,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Valencia, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Berlin, Duration: 2 days.\n* City: Prague, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 6.\n* City: Valencia, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 14).\n |- The departure day of Prague is Day 6. The arrival day of Valencia is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Rome, Berlin] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Prague to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 14).\n   |- The departure day of Edinburgh is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Prague to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 14).\n   |- The departure day of Rome is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Prague, Rome, Valencia].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Valencia to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Valencia to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Prague, Rome, Valencia, Berlin].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Berlin to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Prague, Rome, Valencia, Berlin, Edinburgh].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Valencia.\n**Day 8-14:** Visit Valencia for 7 days.\n**Day 14:** Fly from Valencia to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Edinburgh.\n**Day 15-18:** Visit Edinburgh for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Istanbul**Barcelona**Florence**Prague",
    "ground_truth_durations": "4**6**7**5**2",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Barcelona"
      ],
      [
        "Dublin",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 6 days. You have to attend a workshop in Istanbul between day 4 and day 9. You want to spend 7 days in Barcelona. You plan to stay in Prague for 2 days. You plan to visit relatives in Prague between day 19 and day 20. You plan to stay in Florence for 5 days. You want to spend 4 days in Dublin.\n\nHere are the cities that have direct flights:\nDublin and Barcelona, Dublin and Istanbul, Istanbul and Prague, Dublin and Prague, Florence and Prague, Barcelona and Prague, Istanbul and Barcelona, Barcelona and Florence.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 6 days. You have to attend a workshop in Istanbul between day 4 and day 9. You want to spend 7 days in Barcelona. You plan to stay in Prague for 2 days. You plan to visit relatives in Prague between day 19 and day 20. You plan to stay in Florence for 5 days. You want to spend 4 days in Dublin.\n\nHere are the cities that have direct flights:\nfrom Dublin to Barcelona, from Dublin to Istanbul, from Istanbul to Prague, from Dublin to Prague, from Florence to Prague, from Barcelona to Prague, from Istanbul to Barcelona, from Barcelona to Florence.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Istanbul.\n**Day 4-9:** Visit Istanbul for 6 days.\n**Day 9:** Fly from Istanbul to Barcelona.\n**Day 9-15:** Visit Barcelona for 7 days.\n**Day 15:** Fly from Barcelona to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to Prague.\n**Day 19-20:** Visit Prague for 2 days.",
    "id": "trip_planning_example_538",
    "estimated_output_tokens": 1455,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Barcelona, Duration: 7 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Florence, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 4 - 9.\n* City: Prague, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 7 days.\n* City: Florence, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Florence, Dublin] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 9).\n |- The departure day of Barcelona is Day 7. The arrival day of Istanbul is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 9).\n |- The departure day of Florence is Day 5. The arrival day of Istanbul is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 9).\n |- The departure day of Dublin is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Dublin to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 19 - 20).\n   |- The departure day of Istanbul is Day 9. The arrival day of Prague is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Dublin, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Florence] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Istanbul to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 19 - 20).\n     |- The departure day of Barcelona is Day 15. The arrival day of Prague is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Dublin, Istanbul, Barcelona].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Prague (Day 19 - 20).\n       |- The departure day of Florence is Day 19. The arrival day of Prague is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Dublin, Istanbul, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n         |- Check for direct flight from Florence to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Dublin, Istanbul, Barcelona, Florence, Prague].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Istanbul.\n**Day 4-9:** Visit Istanbul for 6 days.\n**Day 9:** Fly from Istanbul to Barcelona.\n**Day 9-15:** Visit Barcelona for 7 days.\n**Day 15:** Fly from Barcelona to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to Prague.\n**Day 19-20:** Visit Prague for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**London**Athens**Dubrovnik",
    "ground_truth_durations": "5**3**2**4**5",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Salzburg",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. You plan to stay in Salzburg for 5 days. From day 1 to day 5, there is a annual show you want to attend in Salzburg. You want to spend 4 days in Athens. You plan to stay in Dubrovnik for 5 days. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Dubrovnik, Istanbul and Athens, from Dubrovnik to Istanbul, Istanbul and London, London and Athens, Salzburg and Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. You plan to stay in Salzburg for 5 days. From day 1 to day 5, there is a annual show you want to attend in Salzburg. You want to spend 4 days in Athens. You plan to stay in Dubrovnik for 5 days. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Dubrovnik, from Istanbul to Athens, from Dubrovnik to Istanbul, from Istanbul to London, from London to Athens, from Salzburg to Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Dubrovnik.\n**Day 11-15:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_539",
    "estimated_output_tokens": 1261,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Athens, Dubrovnik, Istanbul] and explore these options in order.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Athens, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Istanbul, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from London to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Istanbul, London, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Salzburg, Istanbul, London, Athens, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Dubrovnik.\n**Day 11-15:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Valencia**Lyon**Nice**Mykonos",
    "ground_truth_durations": "4**5**7**2**4",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Lyon",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 4 to day 8, there is a annual show you want to attend in Valencia. You would like to visit Prague for 4 days. You plan to stay in Mykonos for 4 days. You plan to stay in Nice for 2 days. You want to spend 7 days in Lyon.\n\nHere are the cities that have direct flights:\nPrague and Valencia, Valencia and Lyon, Nice and Mykonos, Prague and Lyon, Lyon and Nice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 4 to day 8, there is a annual show you want to attend in Valencia. You would like to visit Prague for 4 days. You plan to stay in Mykonos for 4 days. You plan to stay in Nice for 2 days. You want to spend 7 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Prague to Valencia, from Valencia to Lyon, from Nice to Mykonos, from Prague to Lyon, from Lyon to Nice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Lyon.\n**Day 8-14:** Visit Lyon for 7 days.\n**Day 14:** Fly from Lyon to Nice.\n**Day 14-15:** Visit Nice for 2 days.\n**Day 15:** Fly from Nice to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_540",
    "estimated_output_tokens": 1289,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Prague, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n* City: Lyon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Prague, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Mykonos, Nice, Lyon] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Prague is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice, Lyon] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Valencia to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Valencia to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Valencia to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Prague, Valencia, Lyon].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Lyon to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Prague, Valencia, Lyon, Nice].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Nice to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Prague, Valencia, Lyon, Nice, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Lyon.\n**Day 8-14:** Visit Lyon for 7 days.\n**Day 14:** Fly from Lyon to Nice.\n**Day 14-15:** Visit Nice for 2 days.\n**Day 15:** Fly from Nice to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Naples**Helsinki**Venice**Stuttgart",
    "ground_truth_durations": "7**4**7**3**2",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Naples",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Helsinki. During day 10 and day 16, you have to attend a conference in Helsinki. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 16 and day 18. You would like to visit Bucharest for 7 days. You would like to visit Naples for 4 days. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Stuttgart, Naples and Helsinki, Bucharest and Naples, Naples and Venice, Helsinki and Venice, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Helsinki. During day 10 and day 16, you have to attend a conference in Helsinki. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 16 and day 18. You would like to visit Bucharest for 7 days. You would like to visit Naples for 4 days. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Stuttgart, from Naples to Helsinki, from Bucharest to Naples, from Naples to Venice, from Helsinki to Venice, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Helsinki.\n**Day 10-16:** Visit Helsinki for 7 days.\n**Day 16:** Fly from Helsinki to Venice.\n**Day 16-18:** Visit Venice for 3 days.\n**Day 18:** Fly from Venice to Stuttgart.\n**Day 18-19:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_541",
    "estimated_output_tokens": 1217,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Bucharest, Duration: 7 days.\n* City: Naples, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 10 - 16.\n* City: Venice, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 7 days.\n* City: Naples, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Naples, Stuttgart] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 10 - 16).\n |- The departure day of Bucharest is Day 7. The arrival day of Helsinki is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Bucharest to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 10 - 16).\n   |- The departure day of Naples is Day 10. The arrival day of Helsinki is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Bucharest, Naples].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Naples to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 16 - 18).\n     |- The departure day of Helsinki is Day 16. The arrival day of Venice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Bucharest, Naples, Helsinki].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- Yes. The city with an arrival day of Day 16 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n       |- Check for direct flight from Helsinki to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Bucharest, Naples, Helsinki, Venice].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Venice to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Bucharest, Naples, Helsinki, Venice, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Bucharest and visit Bucharest for 7 days.\n**Day 7:** Fly from Bucharest to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Helsinki.\n**Day 10-16:** Visit Helsinki for 7 days.\n**Day 16:** Fly from Helsinki to Venice.\n**Day 16-18:** Visit Venice for 3 days.\n**Day 18:** Fly from Venice to Stuttgart.\n**Day 18-19:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Oslo**Riga**Prague**Florence",
    "ground_truth_durations": "3**4**3**4**3",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Geneva",
        "Prague"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Oslo",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You would like to visit Prague for 4 days. You would like to visit Florence for 3 days. You want to spend 3 days in Geneva. From day 1 to day 3, there is a annual show you want to attend in Geneva. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nGeneva and Oslo, Oslo and Riga, Riga and Prague, Geneva and Prague, Prague and Florence, Oslo and Prague.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You would like to visit Prague for 4 days. You would like to visit Florence for 3 days. You want to spend 3 days in Geneva. From day 1 to day 3, there is a annual show you want to attend in Geneva. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Oslo, from Oslo to Riga, from Riga to Prague, from Geneva to Prague, from Prague to Florence, from Oslo to Prague.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Florence.\n**Day 11-13:** Visit Florence for 3 days.",
    "id": "trip_planning_example_542",
    "estimated_output_tokens": 1592,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Oslo, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Prague, Florence, Riga] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Geneva to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Florence, Riga] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Oslo, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Riga] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Oslo, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Florence to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Prague to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Geneva, Oslo, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Florence] and explore these options in order.\n       |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Oslo, Riga, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Prague to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Oslo, Riga, Prague, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Florence.\n**Day 11-13:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Rome**Stuttgart**Copenhagen**Vilnius",
    "ground_truth_durations": "4**4**2**4**4",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Rome"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Rome",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 4 days. You would like to visit Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 7 and day 8. You would like to visit Vilnius for 4 days. From day 11 to day 14, there is a annual show you want to attend in Vilnius. You would like to visit Madrid for 4 days. You plan to stay in Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nStuttgart and Copenhagen, Copenhagen and Vilnius, Rome and Stuttgart, Madrid and Rome, Madrid and Copenhagen, Rome and Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 4 days. You would like to visit Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 7 and day 8. You would like to visit Vilnius for 4 days. From day 11 to day 14, there is a annual show you want to attend in Vilnius. You would like to visit Madrid for 4 days. You plan to stay in Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Copenhagen, from Copenhagen to Vilnius, from Rome to Stuttgart, from Madrid to Rome, from Madrid to Copenhagen, from Rome to Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_543",
    "estimated_output_tokens": 1758,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Madrid, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 7 - 8.\n* City: Vilnius, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Madrid, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Madrid, Copenhagen] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 8).\n |- The departure day of Rome is Day 4. The arrival day of Stuttgart is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Rome to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Rome to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 8).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 8).\n |- The departure day of Madrid is Day 4. The arrival day of Stuttgart is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Madrid to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 8).\n   |- The departure day of Rome is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 14).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Vilnius is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Rome, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stuttgart to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 11 - 14).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Rome, Stuttgart, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Copenhagen to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Rome, Stuttgart, Copenhagen, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Lyon**Venice**Athens**Split",
    "ground_truth_durations": "4**6**3**7**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Lyon"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You want to meet a friend in Venice between day 9 and day 11. You would like to visit Porto for 4 days. You want to spend 6 days in Lyon. You would like to meet your friends at Lyon between day 4 and day 9 to tour together. You would like to visit Athens for 7 days. You plan to stay in Split for 7 days.\n\nHere are the cities that have direct flights:\nPorto and Lyon, Lyon and Venice, Venice and Athens, Athens and Split, Lyon and Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You want to meet a friend in Venice between day 9 and day 11. You would like to visit Porto for 4 days. You want to spend 6 days in Lyon. You would like to meet your friends at Lyon between day 4 and day 9 to tour together. You would like to visit Athens for 7 days. You plan to stay in Split for 7 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Lyon, from Lyon to Venice, from Venice to Athens, from Athens to Split, from Lyon to Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Lyon.\n**Day 4-9:** Visit Lyon for 6 days.\n**Day 9:** Fly from Lyon to Venice.\n**Day 9-11:** Visit Venice for 3 days.\n**Day 11:** Fly from Venice to Athens.\n**Day 11-17:** Visit Athens for 7 days.\n**Day 17:** Fly from Athens to Split.\n**Day 17-23:** Visit Split for 7 days.",
    "id": "trip_planning_example_544",
    "estimated_output_tokens": 1164,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Porto, Duration: 4 days.\n* City: Lyon, Duration: 6 days, Fixed Schedule: Day 4 - 9.\n* City: Athens, Duration: 7 days.\n* City: Split, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 4 - 9.\n* City: Venice, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Athens, Duration: 7 days.\n* City: Split, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Athens, Split] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 9).\n |- The departure day of Porto is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Porto to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 9 - 11).\n   |- The departure day of Lyon is Day 9. The arrival day of Venice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Lyon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Lyon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Lyon, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Split] and explore these options in order.\n       |- Try arranging to visit Athens from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Venice to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Porto, Lyon, Venice, Athens].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Athens to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Porto, Lyon, Venice, Athens, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Lyon.\n**Day 4-9:** Visit Lyon for 6 days.\n**Day 9:** Fly from Lyon to Venice.\n**Day 9-11:** Visit Venice for 3 days.\n**Day 11:** Fly from Venice to Athens.\n**Day 11-17:** Visit Athens for 7 days.\n**Day 17:** Fly from Athens to Split.\n**Day 17-23:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Prague**Florence**Lisbon**Venice",
    "ground_truth_durations": "5**3**6**7**2",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Prague",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 1 and day 5. You plan to stay in Prague for 3 days. You would like to visit Florence for 6 days. You would like to visit Venice for 2 days. You want to spend 7 days in Lisbon.\n\nHere are the cities that have direct flights:\nReykjavik and Lisbon, Reykjavik and Prague, Florence and Lisbon, Prague and Florence, Lisbon and Venice, Prague and Lisbon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 1 and day 5. You plan to stay in Prague for 3 days. You would like to visit Florence for 6 days. You would like to visit Venice for 2 days. You want to spend 7 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Lisbon, from Reykjavik to Prague, from Florence to Lisbon, from Prague to Florence, from Lisbon to Venice, from Prague to Lisbon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-12:** Visit Florence for 6 days.\n**Day 12:** Fly from Florence to Lisbon.\n**Day 12-18:** Visit Lisbon for 7 days.\n**Day 18:** Fly from Lisbon to Venice.\n**Day 18-19:** Visit Venice for 2 days.",
    "id": "trip_planning_example_545",
    "estimated_output_tokens": 1171,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Prague, Duration: 3 days.\n* City: Florence, Duration: 6 days.\n* City: Venice, Duration: 2 days.\n* City: Lisbon, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Florence, Duration: 6 days.\n* City: Venice, Duration: 2 days.\n* City: Lisbon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Florence, Venice, Lisbon] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Reykjavik to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Venice, Lisbon] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Lisbon] and explore these options in order.\n       |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Florence to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Florence to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Reykjavik, Prague, Florence, Lisbon].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Lisbon to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Reykjavik, Prague, Florence, Lisbon, Venice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-12:** Visit Florence for 6 days.\n**Day 12:** Fly from Florence to Lisbon.\n**Day 12-18:** Visit Lisbon for 7 days.\n**Day 18:** Fly from Lisbon to Venice.\n**Day 18-19:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Geneva**Helsinki**Vilnius",
    "ground_truth_durations": "6**7**3**2**3",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Geneva"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Seville",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Munich. You plan to stay in Seville for 6 days. During day 1 and day 6, you have to attend a conference in Seville. You plan to stay in Vilnius for 3 days. You plan to stay in Geneva for 3 days. You plan to stay in Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nMunich and Geneva, from Vilnius to Munich, Munich and Helsinki, Geneva and Helsinki, Helsinki and Vilnius, Seville and Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Munich. You plan to stay in Seville for 6 days. During day 1 and day 6, you have to attend a conference in Seville. You plan to stay in Vilnius for 3 days. You plan to stay in Geneva for 3 days. You plan to stay in Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Geneva, from Vilnius to Munich, from Munich to Helsinki, from Geneva to Helsinki, from Helsinki to Vilnius, from Seville to Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Munich.\n**Day 6-12:** Visit Munich for 7 days.\n**Day 12:** Fly from Munich to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.\n**Day 15:** Fly from Helsinki to Vilnius.\n**Day 15-17:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_546",
    "estimated_output_tokens": 1220,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 7 days.\n* City: Seville, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Vilnius, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n* City: Helsinki, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Munich, Duration: 7 days.\n* City: Vilnius, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n* City: Helsinki, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Vilnius, Geneva, Helsinki] and explore these options in order.\n   |- Try arranging to visit Munich from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Helsinki] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Seville, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Helsinki] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Geneva to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Munich, Geneva, Helsinki].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Seville, Munich, Geneva, Helsinki, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Munich.\n**Day 6-12:** Visit Munich for 7 days.\n**Day 12:** Fly from Munich to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.\n**Day 15:** Fly from Helsinki to Vilnius.\n**Day 15-17:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Paris**Edinburgh**Seville**Munich",
    "ground_truth_durations": "3**6**4**5**6",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 15,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 11 and day 15. You want to spend 6 days in Munich. During day 15 and day 20, you have to attend a conference in Munich. You plan to stay in Split for 3 days. You want to spend 4 days in Edinburgh. You want to spend 6 days in Paris.\n\nHere are the cities that have direct flights:\nEdinburgh and Seville, Paris and Munich, Seville and Munich, Edinburgh and Munich, Split and Paris, Paris and Edinburgh, Split and Munich, Paris and Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 11 and day 15. You want to spend 6 days in Munich. During day 15 and day 20, you have to attend a conference in Munich. You plan to stay in Split for 3 days. You want to spend 4 days in Edinburgh. You want to spend 6 days in Paris.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Seville, from Paris to Munich, from Seville to Munich, from Edinburgh to Munich, from Split to Paris, from Paris to Edinburgh, from Split to Munich, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Paris.\n**Day 3-8:** Visit Paris for 6 days.\n**Day 8:** Fly from Paris to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Munich.\n**Day 15-20:** Visit Munich for 6 days.",
    "id": "trip_planning_example_547",
    "estimated_output_tokens": 1295,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Munich, Duration: 6 days, Fixed Schedule: Day 15 - 20.\n* City: Split, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Paris, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 11 - 15.\n* City: Munich, Fixed Schedule: Day 15 - 20.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Paris, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Edinburgh, Paris] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 11 - 15).\n |- The departure day of Split is Day 3. The arrival day of Seville is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Paris] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 11 - 15).\n   |- The departure day of Paris is Day 8. The arrival day of Seville is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Paris to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 11 - 15).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Paris, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Munich (Day 15 - 20).\n       |- The departure day of Seville is Day 15. The arrival day of Munich is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Split, Paris, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n         |- Check for direct flight from Seville to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Split, Paris, Edinburgh, Seville, Munich].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Paris.\n**Day 3-8:** Visit Paris for 6 days.\n**Day 8:** Fly from Paris to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Munich.\n**Day 15-20:** Visit Munich for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Munich**Dubrovnik**Barcelona**Santorini",
    "ground_truth_durations": "2**5**5**7**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 10,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 6 and day 10 to tour together. You plan to stay in Barcelona for 7 days. You have to attend a workshop in Barcelona between day 10 and day 16. You plan to stay in Munich for 5 days. You would like to visit Santorini for 7 days.\n\nHere are the cities that have direct flights:\nBarcelona and Santorini, Dubrovnik and Barcelona, Paris and Munich, Munich and Barcelona, Munich and Dubrovnik, Paris and Barcelona.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 6 and day 10 to tour together. You plan to stay in Barcelona for 7 days. You have to attend a workshop in Barcelona between day 10 and day 16. You plan to stay in Munich for 5 days. You would like to visit Santorini for 7 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Santorini, from Dubrovnik to Barcelona, from Paris to Munich, from Munich to Barcelona, from Munich to Dubrovnik, from Paris to Barcelona.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Munich.\n**Day 2-6:** Visit Munich for 5 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Barcelona.\n**Day 10-16:** Visit Barcelona for 7 days.\n**Day 16:** Fly from Barcelona to Santorini.\n**Day 16-22:** Visit Santorini for 7 days.",
    "id": "trip_planning_example_548",
    "estimated_output_tokens": 1249,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Barcelona, Duration: 7 days, Fixed Schedule: Day 10 - 16.\n* City: Munich, Duration: 5 days.\n* City: Santorini, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 6 - 10.\n* City: Barcelona, Fixed Schedule: Day 10 - 16.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Santorini, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Munich, Santorini] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 6 - 10).\n |- The departure day of Paris is Day 2. The arrival day of Dubrovnik is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Santorini] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Dubrovnik (Day 6 - 10).\n   |- The departure day of Munich is Day 6. The arrival day of Dubrovnik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 10 - 16).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Barcelona is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Paris, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Barcelona.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Dubrovnik to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Paris, Munich, Dubrovnik, Barcelona].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Barcelona to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Paris, Munich, Dubrovnik, Barcelona, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Munich.\n**Day 2-6:** Visit Munich for 5 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Barcelona.\n**Day 10-16:** Visit Barcelona for 7 days.\n**Day 16:** Fly from Barcelona to Santorini.\n**Day 16-22:** Visit Santorini for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Split**Zurich**Santorini",
    "ground_truth_durations": "6**3**7**6**4",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 6 days. You have to attend a workshop in Reykjavik between day 1 and day 6. You plan to stay in Stuttgart for 3 days. You would like to visit Split for 7 days. You would like to visit Santorini for 4 days. You would like to visit Zurich for 6 days.\n\nHere are the cities that have direct flights:\nSplit and Zurich, Reykjavik and Zurich, Zurich and Santorini, Stuttgart and Split, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 6 days. You have to attend a workshop in Reykjavik between day 1 and day 6. You plan to stay in Stuttgart for 3 days. You would like to visit Split for 7 days. You would like to visit Santorini for 4 days. You would like to visit Zurich for 6 days.\n\nHere are the cities that have direct flights:\nfrom Split to Zurich, from Reykjavik to Zurich, from Zurich to Santorini, from Stuttgart to Split, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Stuttgart.\n**Day 6-8:** Visit Stuttgart for 3 days.\n**Day 8:** Fly from Stuttgart to Split.\n**Day 8-14:** Visit Split for 7 days.\n**Day 14:** Fly from Split to Zurich.\n**Day 14-19:** Visit Zurich for 6 days.\n**Day 19:** Fly from Zurich to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_549",
    "estimated_output_tokens": 1194,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Stuttgart, Duration: 3 days.\n* City: Split, Duration: 7 days.\n* City: Santorini, Duration: 4 days.\n* City: Zurich, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Split, Duration: 7 days.\n* City: Santorini, Duration: 4 days.\n* City: Zurich, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Santorini, Zurich] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Zurich] and explore these options in order.\n     |- Try arranging to visit Split from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Stuttgart to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Reykjavik, Stuttgart, Split].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Zurich] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Split to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n       |- Check for direct flight from Split to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Reykjavik, Stuttgart, Split, Zurich].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n         |- Check for direct flight from Zurich to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Reykjavik, Stuttgart, Split, Zurich, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Reykjavik and visit Reykjavik for 6 days.\n**Day 6:** Fly from Reykjavik to Stuttgart.\n**Day 6-8:** Visit Stuttgart for 3 days.\n**Day 8:** Fly from Stuttgart to Split.\n**Day 8-14:** Visit Split for 7 days.\n**Day 14:** Fly from Split to Zurich.\n**Day 14-19:** Visit Zurich for 6 days.\n**Day 19:** Fly from Zurich to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Dubrovnik**Istanbul**Manchester",
    "ground_truth_durations": "4**6**6**4**6",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 17,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 14 and day 17. You plan to stay in Munich for 6 days. You would like to visit Manchester for 6 days. You would like to meet your friends at Manchester between day 17 and day 22 to tour together. You plan to stay in Dubrovnik for 6 days. You want to spend 4 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Istanbul, Munich and Dubrovnik, Seville and Munich, Seville and Manchester, Istanbul and Manchester, Munich and Istanbul, Munich and Manchester, Dubrovnik and Manchester.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 14 and day 17. You plan to stay in Munich for 6 days. You would like to visit Manchester for 6 days. You would like to meet your friends at Manchester between day 17 and day 22 to tour together. You plan to stay in Dubrovnik for 6 days. You want to spend 4 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Istanbul, from Munich to Dubrovnik, from Seville to Munich, from Seville to Manchester, from Istanbul to Manchester, from Munich to Istanbul, from Munich to Manchester, from Dubrovnik to Manchester.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Munich.\n**Day 4-9:** Visit Munich for 6 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-14:** Visit Dubrovnik for 6 days.\n**Day 14:** Fly from Dubrovnik to Istanbul.\n**Day 14-17:** Visit Istanbul for 4 days.\n**Day 17:** Fly from Istanbul to Manchester.\n**Day 17-22:** Visit Manchester for 6 days.",
    "id": "trip_planning_example_550",
    "estimated_output_tokens": 2105,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Munich, Duration: 6 days.\n* City: Manchester, Duration: 6 days, Fixed Schedule: Day 17 - 22.\n* City: Dubrovnik, Duration: 6 days.\n* City: Seville, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 14 - 17.\n* City: Manchester, Fixed Schedule: Day 17 - 22.\n\nCities needing arrangement:\n* City: Munich, Duration: 6 days.\n* City: Dubrovnik, Duration: 6 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Seville] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 14 - 17).\n |- The departure day of Munich is Day 6. The arrival day of Istanbul is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Seville] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 14 - 17).\n   |- The departure day of Dubrovnik is Day 11. The arrival day of Istanbul is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Munich, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n     |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Dubrovnik to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Munich to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 14 - 17).\n |- The departure day of Dubrovnik is Day 6. The arrival day of Istanbul is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Seville] and explore these options in order.\n   |- Try arranging to visit Munich from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Dubrovnik to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Dubrovnik to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 14 - 17).\n |- The departure day of Seville is Day 4. The arrival day of Istanbul is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 14 - 17).\n   |- The departure day of Munich is Day 9. The arrival day of Istanbul is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 14 - 17).\n     |- The departure day of Dubrovnik is Day 14. The arrival day of Istanbul is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Seville, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Dubrovnik to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 17 - 22).\n       |- The departure day of Istanbul is Day 17. The arrival day of Manchester is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Seville, Munich, Dubrovnik, Istanbul].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n         |- Check for direct flight from Istanbul to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Seville, Munich, Dubrovnik, Istanbul, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Munich.\n**Day 4-9:** Visit Munich for 6 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-14:** Visit Dubrovnik for 6 days.\n**Day 14:** Fly from Dubrovnik to Istanbul.\n**Day 14-17:** Visit Istanbul for 4 days.\n**Day 17:** Fly from Istanbul to Manchester.\n**Day 17-22:** Visit Manchester for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Split**Copenhagen**Nice**Mykonos",
    "ground_truth_durations": "2**5**3**2**3",
    "num_cities": 5,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 2,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Krakow",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You want to spend 3 days in Mykonos. You want to spend 2 days in Nice. You want to spend 3 days in Copenhagen. You want to spend 5 days in Split. You would like to meet your friends at Split between day 2 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Split, Split and Copenhagen, Copenhagen and Nice, Nice and Mykonos, Krakow and Copenhagen.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You want to spend 3 days in Mykonos. You want to spend 2 days in Nice. You want to spend 3 days in Copenhagen. You want to spend 5 days in Split. You would like to meet your friends at Split between day 2 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Split to Copenhagen, from Copenhagen to Nice, from Nice to Mykonos, from Krakow to Copenhagen.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 11 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Split.\n**Day 2-6:** Visit Split for 5 days.\n**Day 6:** Fly from Split to Copenhagen.\n**Day 6-8:** Visit Copenhagen for 3 days.\n**Day 8:** Fly from Copenhagen to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_551",
    "estimated_output_tokens": 1304,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 2 - 6.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Mykonos, Nice, Copenhagen] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 2 - 6).\n |- The departure day of Krakow is Day 2. The arrival day of Split is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Split.\n   |- Try arranging to visit Split from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Krakow to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Split to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Split, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Krakow, Split, Copenhagen, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Nice to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Krakow, Split, Copenhagen, Nice, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Split.\n**Day 2-6:** Visit Split for 5 days.\n**Day 6:** Fly from Split to Copenhagen.\n**Day 6-8:** Visit Copenhagen for 3 days.\n**Day 8:** Fly from Copenhagen to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Split**Stuttgart**Lisbon**Seville",
    "ground_truth_durations": "5**4**6**2**5",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You plan to stay in Split for 4 days. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 14 and day 18. You would like to visit Oslo for 5 days. You plan to visit relatives in Oslo between day 1 and day 5. You want to spend 6 days in Stuttgart.\n\nHere are the cities that have direct flights:\nOslo and Lisbon, Split and Stuttgart, Oslo and Split, Stuttgart and Lisbon, Lisbon and Seville.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You plan to stay in Split for 4 days. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 14 and day 18. You would like to visit Oslo for 5 days. You plan to visit relatives in Oslo between day 1 and day 5. You want to spend 6 days in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Oslo to Lisbon, from Split to Stuttgart, from Oslo to Split, from Stuttgart to Lisbon, from Lisbon to Seville.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Stuttgart.\n**Day 8-13:** Visit Stuttgart for 6 days.\n**Day 13:** Fly from Stuttgart to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Seville.\n**Day 14-18:** Visit Seville for 5 days.",
    "id": "trip_planning_example_552",
    "estimated_output_tokens": 1603,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days.\n* City: Split, Duration: 4 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stuttgart, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 5.\n* City: Seville, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Split, Duration: 4 days.\n* City: Stuttgart, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 14 - 18).\n |- The departure day of Oslo is Day 5. The arrival day of Seville is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Split, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 14 - 18).\n   |- The departure day of Lisbon is Day 6. The arrival day of Seville is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 14 - 18).\n   |- The departure day of Split is Day 8. The arrival day of Seville is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Split to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Split to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 14 - 18).\n     |- The departure day of Stuttgart is Day 13. The arrival day of Seville is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Oslo, Split, Stuttgart].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Stuttgart to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 14 - 18).\n       |- The departure day of Lisbon is Day 14. The arrival day of Seville is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Split, Stuttgart, Lisbon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lisbon to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Oslo, Split, Stuttgart, Lisbon, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Stuttgart.\n**Day 8-13:** Visit Stuttgart for 6 days.\n**Day 13:** Fly from Stuttgart to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Seville.\n**Day 14-18:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Riga**Edinburgh**Krakow**Vilnius",
    "ground_truth_durations": "2**4**4**6**7",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Edinburgh",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 6 days. You would like to visit Vilnius for 7 days. You would like to visit Riga for 4 days. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, Bucharest and Riga, Riga and Edinburgh, from Krakow to Vilnius, Edinburgh and Krakow.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 6 days. You would like to visit Vilnius for 7 days. You would like to visit Riga for 4 days. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, from Bucharest to Riga, from Riga to Edinburgh, from Krakow to Vilnius, from Edinburgh to Krakow.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-19:** Visit Vilnius for 7 days.",
    "id": "trip_planning_example_553",
    "estimated_output_tokens": 4835,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 6 days.\n* City: Vilnius, Duration: 7 days.\n* City: Riga, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Krakow, Duration: 6 days.\n* City: Vilnius, Duration: 7 days.\n* City: Riga, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Riga, Edinburgh, Bucharest] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga, Edinburgh, Bucharest] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Bucharest] and explore these options in order.\n     |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Vilnius to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Vilnius to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Krakow to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Krakow to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Riga, Edinburgh, Bucharest] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vilnius to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n   |- Check for direct flight from Vilnius to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Vilnius to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Edinburgh, Bucharest] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Riga to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Riga, Vilnius].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Edinburgh, Bucharest] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Vilnius to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n     |- Check for direct flight from Vilnius to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Edinburgh].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Bucharest] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Edinburgh to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Riga, Edinburgh, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Riga, Edinburgh, Krakow, Vilnius].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Vilnius to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Krakow to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Edinburgh to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Edinburgh to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Riga, Bucharest] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga, Bucharest] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Edinburgh, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest] and explore these options in order.\n       |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n       |- Check for direct flight from Vilnius to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Vilnius to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Krakow to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Edinburgh to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Riga, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Bucharest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Bucharest to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n     |- Check for direct flight from Riga to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Riga to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Bucharest, Riga, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Vilnius to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Vilnius to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Riga to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Riga, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Riga, Edinburgh, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Bucharest, Riga, Edinburgh, Krakow, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-13:** Visit Krakow for 6 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-19:** Visit Vilnius for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Dubrovnik**Barcelona**Porto**Valencia",
    "ground_truth_durations": "3**6**5**4**3",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Porto",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You plan to stay in Stockholm for 3 days. During day 1 and day 3, you have to attend a conference in Stockholm. You plan to stay in Porto for 4 days. You want to spend 3 days in Valencia. You plan to visit relatives in Valencia between day 15 and day 17. You plan to stay in Barcelona for 5 days.\n\nHere are the cities that have direct flights:\nStockholm and Dubrovnik, Dubrovnik and Barcelona, Stockholm and Barcelona, Barcelona and Valencia, Barcelona and Porto, Porto and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 6 days. You plan to stay in Stockholm for 3 days. During day 1 and day 3, you have to attend a conference in Stockholm. You plan to stay in Porto for 4 days. You want to spend 3 days in Valencia. You plan to visit relatives in Valencia between day 15 and day 17. You plan to stay in Barcelona for 5 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Dubrovnik, from Dubrovnik to Barcelona, from Stockholm to Barcelona, from Barcelona to Valencia, from Barcelona to Porto, from Porto to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Dubrovnik.\n**Day 3-8:** Visit Dubrovnik for 6 days.\n**Day 8:** Fly from Dubrovnik to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_554",
    "estimated_output_tokens": 1312,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 6 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Porto, Duration: 4 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Barcelona, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 6 days.\n* City: Porto, Duration: 4 days.\n* City: Barcelona, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 15 - 17).\n |- The departure day of Stockholm is Day 3. The arrival day of Valencia is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Barcelona] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 15 - 17).\n   |- The departure day of Dubrovnik is Day 8. The arrival day of Valencia is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Barcelona] and explore these options in order.\n     |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Dubrovnik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Dubrovnik to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 15 - 17).\n     |- The departure day of Barcelona is Day 12. The arrival day of Valencia is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stockholm, Dubrovnik, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Barcelona to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 15 - 17).\n       |- The departure day of Porto is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stockholm, Dubrovnik, Barcelona, Porto].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Porto to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Stockholm, Dubrovnik, Barcelona, Porto, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Dubrovnik.\n**Day 3-8:** Visit Dubrovnik for 6 days.\n**Day 8:** Fly from Dubrovnik to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Reykjavik**Stuttgart**Rome**Bucharest",
    "ground_truth_durations": "6**5**5**7**6",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 14,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Rome",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 6 to day 10, there is a annual show you want to attend in Reykjavik. You plan to stay in Rome for 7 days. You are going to attend a wedding in Rome between day 14 and day 20. You would like to visit Prague for 6 days. You would like to visit Stuttgart for 5 days. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nStuttgart and Rome, Prague and Rome, Prague and Bucharest, Prague and Reykjavik, Reykjavik and Rome, from Reykjavik to Stuttgart, Rome and Bucharest.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 6 to day 10, there is a annual show you want to attend in Reykjavik. You plan to stay in Rome for 7 days. You are going to attend a wedding in Rome between day 14 and day 20. You would like to visit Prague for 6 days. You would like to visit Stuttgart for 5 days. You plan to stay in Bucharest for 6 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Rome, from Prague to Rome, from Prague to Bucharest, from Prague to Reykjavik, from Reykjavik to Rome, from Reykjavik to Stuttgart, from Rome to Bucharest.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Rome.\n**Day 14-20:** Visit Rome for 7 days.\n**Day 20:** Fly from Rome to Bucharest.\n**Day 20-25:** Visit Bucharest for 6 days.",
    "id": "trip_planning_example_555",
    "estimated_output_tokens": 1259,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Rome, Duration: 7 days, Fixed Schedule: Day 14 - 20.\n* City: Prague, Duration: 6 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Bucharest, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 10.\n* City: Rome, Fixed Schedule: Day 14 - 20.\n\nCities needing arrangement:\n* City: Prague, Duration: 6 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Bucharest, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Bucharest] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 10).\n |- The departure day of Prague is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Prague to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 14 - 20).\n   |- The departure day of Reykjavik is Day 10. The arrival day of Rome is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Prague, Reykjavik].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Bucharest] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Reykjavik to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Rome (Day 14 - 20).\n     |- The departure day of Stuttgart is Day 14. The arrival day of Rome is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Prague, Reykjavik, Stuttgart].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from Stuttgart to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Prague, Reykjavik, Stuttgart, Rome].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 20. Duration: 6 days. Schedule: Day 20 - 25.\n         |- Check for direct flight from Rome to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Prague, Reykjavik, Stuttgart, Rome, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Prague and visit Prague for 6 days.\n**Day 6:** Fly from Prague to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Rome.\n**Day 14-20:** Visit Rome for 7 days.\n**Day 20:** Fly from Rome to Bucharest.\n**Day 20-25:** Visit Bucharest for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Madrid**Naples**Valencia**Porto",
    "ground_truth_durations": "7**3**5**3**7",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 15,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Hamburg",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You have to attend a workshop in Valencia between day 13 and day 15. You plan to stay in Madrid for 3 days. You would like to visit Hamburg for 7 days. You would like to visit Porto for 7 days. You would like to meet your friends at Porto between day 15 and day 21 to tour together. You plan to stay in Naples for 5 days.\n\nHere are the cities that have direct flights:\nHamburg and Madrid, Madrid and Valencia, Naples and Valencia, Madrid and Porto, Madrid and Naples, Valencia and Porto, Hamburg and Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You have to attend a workshop in Valencia between day 13 and day 15. You plan to stay in Madrid for 3 days. You would like to visit Hamburg for 7 days. You would like to visit Porto for 7 days. You would like to meet your friends at Porto between day 15 and day 21 to tour together. You plan to stay in Naples for 5 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Madrid, from Madrid to Valencia, from Naples to Valencia, from Madrid to Porto, from Madrid to Naples, from Valencia to Porto, from Hamburg to Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Porto.\n**Day 15-21:** Visit Porto for 7 days.",
    "id": "trip_planning_example_556",
    "estimated_output_tokens": 1738,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Madrid, Duration: 3 days.\n* City: Hamburg, Duration: 7 days.\n* City: Porto, Duration: 7 days, Fixed Schedule: Day 15 - 21.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 13 - 15.\n* City: Porto, Fixed Schedule: Day 15 - 21.\n\nCities needing arrangement:\n* City: Madrid, Duration: 3 days.\n* City: Hamburg, Duration: 7 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Hamburg, Naples] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 13 - 15).\n |- The departure day of Madrid is Day 3. The arrival day of Valencia is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Naples] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Madrid to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Madrid to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 13 - 15).\n   |- The departure day of Naples is Day 7. The arrival day of Valencia is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Naples to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 13 - 15).\n |- The departure day of Hamburg is Day 7. The arrival day of Valencia is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Naples] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Hamburg to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 15).\n   |- The departure day of Madrid is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Madrid].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n     |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Madrid to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 15).\n     |- The departure day of Naples is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Hamburg, Madrid, Naples].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Naples to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 15 - 21).\n       |- The departure day of Valencia is Day 15. The arrival day of Porto is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Hamburg, Madrid, Naples, Valencia].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n         |- Check for direct flight from Valencia to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Hamburg, Madrid, Naples, Valencia, Porto].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Hamburg and visit Hamburg for 7 days.\n**Day 7:** Fly from Hamburg to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Porto.\n**Day 15-21:** Visit Porto for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Valencia**Munich**Mykonos",
    "ground_truth_durations": "4**6**7**6**4",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 15,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Frankfurt",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 6 days. You want to meet a friend in Munich between day 15 and day 20. You plan to stay in Mykonos for 4 days. You want to spend 7 days in Valencia. You want to spend 6 days in Frankfurt. You would like to visit Salzburg for 4 days. You would like to meet your friends at Salzburg between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nSalzburg and Frankfurt, Valencia and Munich, Munich and Mykonos, Frankfurt and Munich, Frankfurt and Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 6 days. You want to meet a friend in Munich between day 15 and day 20. You plan to stay in Mykonos for 4 days. You want to spend 7 days in Valencia. You want to spend 6 days in Frankfurt. You would like to visit Salzburg for 4 days. You would like to meet your friends at Salzburg between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Frankfurt, from Valencia to Munich, from Munich to Mykonos, from Frankfurt to Munich, from Frankfurt to Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-9:** Visit Frankfurt for 6 days.\n**Day 9:** Fly from Frankfurt to Valencia.\n**Day 9-15:** Visit Valencia for 7 days.\n**Day 15:** Fly from Valencia to Munich.\n**Day 15-20:** Visit Munich for 6 days.\n**Day 20:** Fly from Munich to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_557",
    "estimated_output_tokens": 1376,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 6 days, Fixed Schedule: Day 15 - 20.\n* City: Mykonos, Duration: 4 days.\n* City: Valencia, Duration: 7 days.\n* City: Frankfurt, Duration: 6 days.\n* City: Salzburg, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 15 - 20.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Valencia, Duration: 7 days.\n* City: Frankfurt, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 15 - 20).\n |- The departure day of Salzburg is Day 4. The arrival day of Munich is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Valencia, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Salzburg to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 15 - 20).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Munich is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Valencia] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Frankfurt to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 15 - 20).\n     |- The departure day of Valencia is Day 15. The arrival day of Munich is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Salzburg, Frankfurt, Valencia].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Valencia to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Salzburg, Frankfurt, Valencia, Munich].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n         |- Check for direct flight from Munich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Salzburg, Frankfurt, Valencia, Munich, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-9:** Visit Frankfurt for 6 days.\n**Day 9:** Fly from Frankfurt to Valencia.\n**Day 9-15:** Visit Valencia for 7 days.\n**Day 15:** Fly from Valencia to Munich.\n**Day 15-20:** Visit Munich for 6 days.\n**Day 20:** Fly from Munich to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Edinburgh**London**Vienna**Dubrovnik",
    "ground_truth_durations": "2**7**7**4**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 8,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 2,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "London",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit London for 7 days. You have to attend a workshop in London between day 8 and day 14. You want to spend 7 days in Dubrovnik. You would like to visit Edinburgh for 7 days. From day 2 to day 8, there is a annual show you want to attend in Edinburgh. You would like to visit Vienna for 4 days. You want to spend 2 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Vienna, from Dubrovnik to Istanbul, Edinburgh and London, Istanbul and London, Istanbul and Edinburgh, Vienna and Dubrovnik, London and Vienna.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit London for 7 days. You have to attend a workshop in London between day 8 and day 14. You want to spend 7 days in Dubrovnik. You would like to visit Edinburgh for 7 days. From day 2 to day 8, there is a annual show you want to attend in Edinburgh. You would like to visit Vienna for 4 days. You want to spend 2 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Vienna, from Dubrovnik to Istanbul, from Edinburgh to London, from Istanbul to London, from Istanbul to Edinburgh, from Vienna to Dubrovnik, from London to Vienna.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-2:** Arriving in Istanbul and visit Istanbul for 2 days.\n**Day 2:** Fly from Istanbul to Edinburgh.\n**Day 2-8:** Visit Edinburgh for 7 days.\n**Day 8:** Fly from Edinburgh to London.\n**Day 8-14:** Visit London for 7 days.\n**Day 14:** Fly from London to Vienna.\n**Day 14-17:** Visit Vienna for 4 days.\n**Day 17:** Fly from Vienna to Dubrovnik.\n**Day 17-23:** Visit Dubrovnik for 7 days.",
    "id": "trip_planning_example_558",
    "estimated_output_tokens": 1456,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 7 days, Fixed Schedule: Day 8 - 14.\n* City: Dubrovnik, Duration: 7 days.\n* City: Edinburgh, Duration: 7 days, Fixed Schedule: Day 2 - 8.\n* City: Vienna, Duration: 4 days.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 2 - 8.\n* City: London, Fixed Schedule: Day 8 - 14.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 7 days.\n* City: Vienna, Duration: 4 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna, Istanbul] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 8).\n |- The departure day of Dubrovnik is Day 7. The arrival day of Edinburgh is Day 2. Day 7 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 8).\n |- The departure day of Vienna is Day 4. The arrival day of Edinburgh is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 8).\n |- The departure day of Istanbul is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Istanbul to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 8 - 14).\n   |- The departure day of Edinburgh is Day 8. The arrival day of London is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: London.\n     |- Try arranging to visit London from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Edinburgh to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Istanbul, Edinburgh, London].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 14. Duration: 7 days. Schedule: Day 14 - 20.\n       |- Check for direct flight from London to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from London to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Istanbul, Edinburgh, London, Vienna].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Istanbul, Edinburgh, London, Vienna, Dubrovnik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Istanbul and visit Istanbul for 2 days.\n**Day 2:** Fly from Istanbul to Edinburgh.\n**Day 2-8:** Visit Edinburgh for 7 days.\n**Day 8:** Fly from Edinburgh to London.\n**Day 8-14:** Visit London for 7 days.\n**Day 14:** Fly from London to Vienna.\n**Day 14-17:** Visit Vienna for 4 days.\n**Day 17:** Fly from Vienna to Dubrovnik.\n**Day 17-23:** Visit Dubrovnik for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Salzburg**Hamburg**Warsaw**Split",
    "ground_truth_durations": "7**6**5**6**4",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 7 days. You plan to visit relatives in Istanbul between day 1 and day 7. You want to spend 5 days in Hamburg. You plan to stay in Split for 4 days. From day 21 to day 24, there is a annual show you want to attend in Split. You plan to stay in Salzburg for 6 days. You would like to visit Warsaw for 6 days.\n\nHere are the cities that have direct flights:\nIstanbul and Salzburg, Warsaw and Split, Hamburg and Split, Salzburg and Hamburg, Istanbul and Warsaw, Istanbul and Hamburg, Hamburg and Warsaw.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 7 days. You plan to visit relatives in Istanbul between day 1 and day 7. You want to spend 5 days in Hamburg. You plan to stay in Split for 4 days. From day 21 to day 24, there is a annual show you want to attend in Split. You plan to stay in Salzburg for 6 days. You would like to visit Warsaw for 6 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Salzburg, from Warsaw to Split, from Hamburg to Split, from Salzburg to Hamburg, from Istanbul to Warsaw, from Istanbul to Hamburg, from Hamburg to Warsaw.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Salzburg.\n**Day 7-12:** Visit Salzburg for 6 days.\n**Day 12:** Fly from Salzburg to Hamburg.\n**Day 12-16:** Visit Hamburg for 5 days.\n**Day 16:** Fly from Hamburg to Warsaw.\n**Day 16-21:** Visit Warsaw for 6 days.\n**Day 21:** Fly from Warsaw to Split.\n**Day 21-24:** Visit Split for 4 days.",
    "id": "trip_planning_example_559",
    "estimated_output_tokens": 1763,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Hamburg, Duration: 5 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Salzburg, Duration: 6 days.\n* City: Warsaw, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 7.\n* City: Split, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Salzburg, Duration: 6 days.\n* City: Warsaw, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 21 - 24).\n |- The departure day of Istanbul is Day 7. The arrival day of Split is Day 21. Day 7 is not later than (<=) Day 21. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg, Warsaw] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Istanbul to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 21 - 24).\n   |- The departure day of Hamburg is Day 11. The arrival day of Split is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Istanbul, Hamburg].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Hamburg to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Hamburg to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 21 - 24).\n     |- The departure day of Warsaw is Day 16. The arrival day of Split is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Istanbul, Hamburg, Warsaw].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Warsaw to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Istanbul to Salzburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 21 - 24).\n   |- The departure day of Salzburg is Day 12. The arrival day of Split is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Istanbul, Salzburg].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Warsaw] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Salzburg to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 21 - 24).\n     |- The departure day of Hamburg is Day 16. The arrival day of Split is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Istanbul, Salzburg, Hamburg].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n       |- Check for direct flight from Hamburg to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 21 - 24).\n       |- The departure day of Warsaw is Day 21. The arrival day of Split is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Istanbul, Salzburg, Hamburg, Warsaw].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- Yes. The city with an arrival day of Day 21 - is fixed: Split.\n         |- Try arranging to visit Split from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n         |- Check for direct flight from Warsaw to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Istanbul, Salzburg, Hamburg, Warsaw, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Istanbul and visit Istanbul for 7 days.\n**Day 7:** Fly from Istanbul to Salzburg.\n**Day 7-12:** Visit Salzburg for 6 days.\n**Day 12:** Fly from Salzburg to Hamburg.\n**Day 12-16:** Visit Hamburg for 5 days.\n**Day 16:** Fly from Hamburg to Warsaw.\n**Day 16-21:** Visit Warsaw for 6 days.\n**Day 21:** Fly from Warsaw to Split.\n**Day 21-24:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Split**Oslo**Lisbon**Florence",
    "ground_truth_durations": "4**6**3**2**3",
    "num_cities": 5,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Oslo"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Krakow",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You plan to stay in Lisbon for 2 days. You have to attend a workshop in Lisbon between day 11 and day 12. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 1 and day 4. You want to spend 3 days in Oslo. You would like to visit Split for 6 days.\n\nHere are the cities that have direct flights:\nSplit and Oslo, Oslo and Lisbon, Krakow and Split, Krakow and Lisbon, Lisbon and Florence, Krakow and Oslo.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You plan to stay in Lisbon for 2 days. You have to attend a workshop in Lisbon between day 11 and day 12. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 1 and day 4. You want to spend 3 days in Oslo. You would like to visit Split for 6 days.\n\nHere are the cities that have direct flights:\nfrom Split to Oslo, from Oslo to Lisbon, from Krakow to Split, from Krakow to Lisbon, from Lisbon to Florence, from Krakow to Oslo.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 14 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Split.\n**Day 4-9:** Visit Split for 6 days.\n**Day 9:** Fly from Split to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Florence.\n**Day 12-14:** Visit Florence for 3 days.",
    "id": "trip_planning_example_560",
    "estimated_output_tokens": 1611,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Duration: 3 days.\n* City: Split, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Florence, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 11 - 12).\n |- The departure day of Krakow is Day 4. The arrival day of Lisbon is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Oslo, Split] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 11 - 12).\n   |- The departure day of Oslo is Day 6. The arrival day of Lisbon is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Split] and explore these options in order.\n     |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Oslo to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Krakow to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 11 - 12).\n   |- The departure day of Split is Day 9. The arrival day of Lisbon is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Split].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Oslo] and explore these options in order.\n     |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Split to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Split to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 11 - 12).\n     |- The departure day of Oslo is Day 11. The arrival day of Lisbon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Split, Oslo].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Krakow, Split, Oslo, Lisbon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Lisbon to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Krakow, Split, Oslo, Lisbon, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Split.\n**Day 4-9:** Visit Split for 6 days.\n**Day 9:** Fly from Split to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Florence.\n**Day 12-14:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Edinburgh**Porto**Stuttgart**Split",
    "ground_truth_durations": "4**2**3**5**6",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 7 and day 11 to tour together. You plan to stay in Porto for 3 days. You plan to stay in Split for 6 days. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 1 and day 4. You want to spend 2 days in Edinburgh.\n\nHere are the cities that have direct flights:\nKrakow and Split, Stuttgart and Split, Porto and Stuttgart, Edinburgh and Stuttgart, Edinburgh and Porto, Krakow and Edinburgh, Krakow and Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 7 and day 11 to tour together. You plan to stay in Porto for 3 days. You plan to stay in Split for 6 days. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 1 and day 4. You want to spend 2 days in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Stuttgart to Split, from Porto to Stuttgart, from Edinburgh to Stuttgart, from Edinburgh to Porto, from Krakow to Edinburgh, from Krakow to Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Split.\n**Day 11-16:** Visit Split for 6 days.",
    "id": "trip_planning_example_561",
    "estimated_output_tokens": 1375,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Porto, Duration: 3 days.\n* City: Split, Duration: 6 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Split, Duration: 6 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 11).\n |- The departure day of Krakow is Day 4. The arrival day of Stuttgart is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Split, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Krakow to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 11).\n   |- The departure day of Split is Day 9. The arrival day of Stuttgart is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 11).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Stuttgart is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Split] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Edinburgh to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 7 - 11).\n     |- The departure day of Porto is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Edinburgh, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Porto to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Edinburgh, Porto, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Krakow, Edinburgh, Porto, Stuttgart, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Split.\n**Day 11-16:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Warsaw**Milan**Madrid**Lyon",
    "ground_truth_durations": "6**6**4**3**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Madrid",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You would like to visit Rome for 6 days. You plan to stay in Lyon for 7 days. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 14 and day 16. You want to spend 4 days in Milan. You would like to meet your friends at Milan between day 11 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nWarsaw and Madrid, Rome and Lyon, Rome and Warsaw, Rome and Madrid, Milan and Madrid, Warsaw and Milan, Madrid and Lyon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You would like to visit Rome for 6 days. You plan to stay in Lyon for 7 days. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 14 and day 16. You want to spend 4 days in Milan. You would like to meet your friends at Milan between day 11 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Madrid, from Rome to Lyon, from Rome to Warsaw, from Rome to Madrid, from Milan to Madrid, from Warsaw to Milan, from Madrid to Lyon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-6:** Arriving in Rome and visit Rome for 6 days.\n**Day 6:** Fly from Rome to Warsaw.\n**Day 6-11:** Visit Warsaw for 6 days.\n**Day 11:** Fly from Warsaw to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Lyon.\n**Day 16-22:** Visit Lyon for 7 days.",
    "id": "trip_planning_example_562",
    "estimated_output_tokens": 1495,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 6 days.\n* City: Rome, Duration: 6 days.\n* City: Lyon, Duration: 7 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 11 - 14.\n* City: Madrid, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 6 days.\n* City: Rome, Duration: 6 days.\n* City: Lyon, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Rome, Lyon] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 11 - 14).\n |- The departure day of Warsaw is Day 6. The arrival day of Milan is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Lyon] and explore these options in order.\n   |- Try arranging to visit Rome from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Warsaw to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Warsaw to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 11 - 14).\n |- The departure day of Rome is Day 6. The arrival day of Milan is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Lyon] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Rome to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 11 - 14).\n   |- The departure day of Warsaw is Day 11. The arrival day of Milan is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Rome, Warsaw].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Madrid (Day 14 - 16).\n     |- The departure day of Milan is Day 14. The arrival day of Madrid is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Rome, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Milan to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Rome, Warsaw, Milan, Madrid].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Madrid to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Rome, Warsaw, Milan, Madrid, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Rome and visit Rome for 6 days.\n**Day 6:** Fly from Rome to Warsaw.\n**Day 6-11:** Visit Warsaw for 6 days.\n**Day 11:** Fly from Warsaw to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Lyon.\n**Day 16-22:** Visit Lyon for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Naples**Bucharest**Vienna",
    "ground_truth_durations": "7**7**3**3**6",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 17,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Berlin",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You would like to visit Vienna for 6 days. You plan to visit relatives in Vienna between day 17 and day 22. You would like to visit Venice for 7 days. You want to meet a friend in Venice between day 7 and day 13. You want to spend 3 days in Naples. You would like to visit Berlin for 7 days.\n\nHere are the cities that have direct flights:\nVenice and Vienna, Berlin and Vienna, Venice and Naples, Berlin and Venice, Naples and Bucharest, Naples and Vienna, Bucharest and Vienna, Berlin and Naples.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You would like to visit Vienna for 6 days. You plan to visit relatives in Vienna between day 17 and day 22. You would like to visit Venice for 7 days. You want to meet a friend in Venice between day 7 and day 13. You want to spend 3 days in Naples. You would like to visit Berlin for 7 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Vienna, from Berlin to Vienna, from Venice to Naples, from Berlin to Venice, from Naples to Bucharest, from Naples to Vienna, from Bucharest to Vienna, from Berlin to Naples.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Venice.\n**Day 7-13:** Visit Venice for 7 days.\n**Day 13:** Fly from Venice to Naples.\n**Day 13-15:** Visit Naples for 3 days.\n**Day 15:** Fly from Naples to Bucharest.\n**Day 15-17:** Visit Bucharest for 3 days.\n**Day 17:** Fly from Bucharest to Vienna.\n**Day 17-22:** Visit Vienna for 6 days.",
    "id": "trip_planning_example_563",
    "estimated_output_tokens": 2102,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days.\n* City: Vienna, Duration: 6 days, Fixed Schedule: Day 17 - 22.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Naples, Duration: 3 days.\n* City: Berlin, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 7 - 13.\n* City: Vienna, Fixed Schedule: Day 17 - 22.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n* City: Berlin, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Naples, Berlin] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 13).\n |- The departure day of Bucharest is Day 3. The arrival day of Venice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Berlin] and explore these options in order.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Bucharest to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 13).\n |- The departure day of Naples is Day 3. The arrival day of Venice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Berlin] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 7 - 13).\n   |- The departure day of Bucharest is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n     |- Check for direct flight from Bucharest to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Naples to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 13).\n |- The departure day of Berlin is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 17 - 22).\n   |- The departure day of Venice is Day 13. The arrival day of Vienna is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Venice to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 17 - 22).\n     |- The departure day of Naples is Day 15. The arrival day of Vienna is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Berlin, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Naples to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vienna (Day 17 - 22).\n       |- The departure day of Bucharest is Day 17. The arrival day of Vienna is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Berlin, Venice, Naples, Bucharest].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 17. Duration: 6 days. Schedule: Day 17 - 22.\n         |- Check for direct flight from Bucharest to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Berlin, Venice, Naples, Bucharest, Vienna].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Venice.\n**Day 7-13:** Visit Venice for 7 days.\n**Day 13:** Fly from Venice to Naples.\n**Day 13-15:** Visit Naples for 3 days.\n**Day 15:** Fly from Naples to Bucharest.\n**Day 15-17:** Visit Bucharest for 3 days.\n**Day 17:** Fly from Bucharest to Vienna.\n**Day 17-22:** Visit Vienna for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Istanbul**Naples**Santorini",
    "ground_truth_durations": "4**3**2**7**4",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Santorini"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Rome",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 6 and day 7. You would like to visit Rome for 3 days. You want to spend 4 days in Seville. You would like to visit Naples for 7 days. You want to spend 4 days in Santorini. You are going to attend a wedding in Santorini between day 13 and day 16.\n\nHere are the cities that have direct flights:\nRome and Santorini, Seville and Rome, Istanbul and Naples, Naples and Santorini, Rome and Naples, Rome and Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 6 and day 7. You would like to visit Rome for 3 days. You want to spend 4 days in Seville. You would like to visit Naples for 7 days. You want to spend 4 days in Santorini. You are going to attend a wedding in Santorini between day 13 and day 16.\n\nHere are the cities that have direct flights:\nfrom Rome to Santorini, from Seville to Rome, from Istanbul to Naples, from Naples to Santorini, from Rome to Naples, from Rome to Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Naples.\n**Day 7-13:** Visit Naples for 7 days.\n**Day 13:** Fly from Naples to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_564",
    "estimated_output_tokens": 1634,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Rome, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Naples, Duration: 7 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 6 - 7.\n* City: Santorini, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Naples, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Seville, Naples] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 6 - 7).\n |- The departure day of Rome is Day 3. The arrival day of Istanbul is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Naples] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Rome to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Rome to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 6 - 7).\n   |- The departure day of Naples is Day 9. The arrival day of Istanbul is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 6 - 7).\n |- The departure day of Seville is Day 4. The arrival day of Istanbul is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Naples] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 6 - 7).\n   |- The departure day of Rome is Day 6. The arrival day of Istanbul is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 13 - 16).\n     |- The departure day of Istanbul is Day 7. The arrival day of Santorini is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Seville, Rome, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n       |- Try arranging to visit Naples from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n       |- Check for direct flight from Istanbul to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 13 - 16).\n       |- The departure day of Naples is Day 13. The arrival day of Santorini is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Rome, Istanbul, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Naples to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Rome, Istanbul, Naples, Santorini].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Naples.\n**Day 7-13:** Visit Naples for 7 days.\n**Day 13:** Fly from Naples to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Istanbul**Bucharest**Zurich**Florence",
    "ground_truth_durations": "7**7**6**7**2",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Berlin",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Istanbul. You plan to stay in Berlin for 7 days. You want to spend 2 days in Florence. You would like to visit Bucharest for 6 days. During day 13 and day 18, you have to attend a conference in Bucharest. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nBerlin and Istanbul, Bucharest and Zurich, Istanbul and Zurich, Istanbul and Bucharest, from Zurich to Florence, Berlin and Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Istanbul. You plan to stay in Berlin for 7 days. You want to spend 2 days in Florence. You would like to visit Bucharest for 6 days. During day 13 and day 18, you have to attend a conference in Bucharest. You would like to visit Zurich for 7 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Istanbul, from Bucharest to Zurich, from Istanbul to Zurich, from Istanbul to Bucharest, from Zurich to Florence, from Berlin to Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Istanbul.\n**Day 7-13:** Visit Istanbul for 7 days.\n**Day 13:** Fly from Istanbul to Bucharest.\n**Day 13-18:** Visit Bucharest for 6 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-24:** Visit Zurich for 7 days.\n**Day 24:** Fly from Zurich to Florence.\n**Day 24-25:** Visit Florence for 2 days.",
    "id": "trip_planning_example_565",
    "estimated_output_tokens": 1769,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 7 days.\n* City: Berlin, Duration: 7 days.\n* City: Florence, Duration: 2 days.\n* City: Bucharest, Duration: 6 days, Fixed Schedule: Day 13 - 18.\n* City: Zurich, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 13 - 18.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 7 days.\n* City: Berlin, Duration: 7 days.\n* City: Florence, Duration: 2 days.\n* City: Zurich, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Berlin, Florence, Zurich] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 13 - 18).\n |- The departure day of Istanbul is Day 7. The arrival day of Bucharest is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Florence, Zurich] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Istanbul to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n   |- Check for direct flight from Istanbul to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Istanbul to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 13 - 18).\n   |- The departure day of Zurich is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Istanbul, Zurich].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n     |- Check for direct flight from Zurich to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 13 - 18).\n |- The departure day of Berlin is Day 7. The arrival day of Bucharest is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Florence, Zurich] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Berlin to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 13 - 18).\n   |- The departure day of Istanbul is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Berlin, Istanbul].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n     |- Check for direct flight from Istanbul to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Berlin, Istanbul, Bucharest].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n       |- Try arranging to visit Florence from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n       |- Check for direct flight from Bucharest to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n       |- Check for direct flight from Bucharest to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 24. Current plan: [Berlin, Istanbul, Bucharest, Zurich].\n        |- Check whether the city with an arrival day of Day 24 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Berlin, Istanbul, Bucharest, Zurich, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Berlin and visit Berlin for 7 days.\n**Day 7:** Fly from Berlin to Istanbul.\n**Day 7-13:** Visit Istanbul for 7 days.\n**Day 13:** Fly from Istanbul to Bucharest.\n**Day 13-18:** Visit Bucharest for 6 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-24:** Visit Zurich for 7 days.\n**Day 24:** Fly from Zurich to Florence.\n**Day 24-25:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Krakow**Warsaw**Berlin**Salzburg",
    "ground_truth_durations": "4**5**2**2**6",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Warsaw",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Salzburg. You want to spend 2 days in Warsaw. You would like to visit Split for 4 days. You plan to visit relatives in Split between day 1 and day 4. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 4 and day 8 to tour together. You would like to visit Berlin for 2 days.\n\nHere are the cities that have direct flights:\nKrakow and Berlin, Krakow and Warsaw, Split and Berlin, Berlin and Salzburg, Split and Warsaw, Split and Krakow, Warsaw and Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Salzburg. You want to spend 2 days in Warsaw. You would like to visit Split for 4 days. You plan to visit relatives in Split between day 1 and day 4. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 4 and day 8 to tour together. You would like to visit Berlin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Berlin, from Krakow to Warsaw, from Split to Berlin, from Berlin to Salzburg, from Split to Warsaw, from Split to Krakow, from Warsaw to Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Warsaw.\n**Day 8-9:** Visit Warsaw for 2 days.\n**Day 9:** Fly from Warsaw to Berlin.\n**Day 9-10:** Visit Berlin for 2 days.\n**Day 10:** Fly from Berlin to Salzburg.\n**Day 10-15:** Visit Salzburg for 6 days.",
    "id": "trip_planning_example_566",
    "estimated_output_tokens": 1243,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 6 days.\n* City: Warsaw, Duration: 2 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Berlin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 6 days.\n* City: Warsaw, Duration: 2 days.\n* City: Berlin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 8).\n |- The departure day of Split is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Split to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Berlin] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n     |- Check for direct flight from Krakow to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Krakow to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Krakow, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n       |- Check for direct flight from Warsaw to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Krakow, Warsaw, Berlin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Split, Krakow, Warsaw, Berlin, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Warsaw.\n**Day 8-9:** Visit Warsaw for 2 days.\n**Day 9:** Fly from Warsaw to Berlin.\n**Day 9-10:** Visit Berlin for 2 days.\n**Day 10:** Fly from Berlin to Salzburg.\n**Day 10-15:** Visit Salzburg for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Prague**Lyon**Venice**Manchester",
    "ground_truth_durations": "7**5**2**7**7",
    "num_cities": 5,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 12,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Venice"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Krakow",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. From day 12 to day 18, there is a annual show you want to attend in Venice. You want to spend 7 days in Manchester. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 11 and day 12. You would like to visit Prague for 5 days. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nLyon and Venice, Prague and Lyon, Krakow and Manchester, Venice and Manchester, Prague and Manchester, Krakow and Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 7 days. From day 12 to day 18, there is a annual show you want to attend in Venice. You want to spend 7 days in Manchester. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 11 and day 12. You would like to visit Prague for 5 days. You want to spend 7 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Lyon to Venice, from Prague to Lyon, from Krakow to Manchester, from Venice to Manchester, from Prague to Manchester, from Krakow to Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 24 days:\n\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Lyon.\n**Day 11-12:** Visit Lyon for 2 days.\n**Day 12:** Fly from Lyon to Venice.\n**Day 12-18:** Visit Venice for 7 days.\n**Day 18:** Fly from Venice to Manchester.\n**Day 18-24:** Visit Manchester for 7 days.",
    "id": "trip_planning_example_567",
    "estimated_output_tokens": 2121,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 12 - 18.\n* City: Manchester, Duration: 7 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Prague, Duration: 5 days.\n* City: Krakow, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 11 - 12.\n* City: Venice, Fixed Schedule: Day 12 - 18.\n\nCities needing arrangement:\n* City: Manchester, Duration: 7 days.\n* City: Prague, Duration: 5 days.\n* City: Krakow, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Prague, Krakow] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 12).\n |- The departure day of Manchester is Day 7. The arrival day of Lyon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Krakow] and explore these options in order.\n   |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Manchester to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Manchester to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 12).\n |- The departure day of Prague is Day 5. The arrival day of Lyon is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Krakow] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Prague to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 11 - 12).\n   |- The departure day of Manchester is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Prague, Manchester].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Prague to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 11 - 12).\n |- The departure day of Krakow is Day 7. The arrival day of Lyon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Prague] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Krakow to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 11 - 12).\n   |- The departure day of Manchester is Day 13. The arrival day of Lyon is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Krakow to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 11 - 12).\n   |- The departure day of Prague is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Krakow, Prague].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 12 - 18).\n     |- The departure day of Lyon is Day 12. The arrival day of Venice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Krakow, Prague, Lyon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Krakow, Prague, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 18. Duration: 7 days. Schedule: Day 18 - 24.\n         |- Check for direct flight from Venice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 24. Current plan: [Krakow, Prague, Lyon, Venice, Manchester].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Krakow and visit Krakow for 7 days.\n**Day 7:** Fly from Krakow to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Lyon.\n**Day 11-12:** Visit Lyon for 2 days.\n**Day 12:** Fly from Lyon to Venice.\n**Day 12-18:** Visit Venice for 7 days.\n**Day 18:** Fly from Venice to Manchester.\n**Day 18-24:** Visit Manchester for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Vienna**Rome**Oslo**Tallinn",
    "ground_truth_durations": "3**5**2**6**6",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Vienna"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Milan",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You want to spend 6 days in Tallinn. You would like to visit Rome for 2 days. You want to meet a friend in Rome between day 7 and day 8. You want to spend 3 days in Milan. You would like to visit Vienna for 5 days. You have to attend a workshop in Vienna between day 3 and day 7.\n\nHere are the cities that have direct flights:\nMilan and Vienna, Vienna and Rome, Vienna and Oslo, Rome and Oslo, Oslo and Tallinn, Milan and Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Oslo. You want to spend 6 days in Tallinn. You would like to visit Rome for 2 days. You want to meet a friend in Rome between day 7 and day 8. You want to spend 3 days in Milan. You would like to visit Vienna for 5 days. You have to attend a workshop in Vienna between day 3 and day 7.\n\nHere are the cities that have direct flights:\nfrom Milan to Vienna, from Vienna to Rome, from Vienna to Oslo, from Rome to Oslo, from Oslo to Tallinn, from Milan to Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Rome.\n**Day 7-8:** Visit Rome for 2 days.\n**Day 8:** Fly from Rome to Oslo.\n**Day 8-13:** Visit Oslo for 6 days.\n**Day 13:** Fly from Oslo to Tallinn.\n**Day 13-18:** Visit Tallinn for 6 days.",
    "id": "trip_planning_example_568",
    "estimated_output_tokens": 1396,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 6 days.\n* City: Tallinn, Duration: 6 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Milan, Duration: 3 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 3 - 7.\n* City: Rome, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Oslo, Duration: 6 days.\n* City: Tallinn, Duration: 6 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Tallinn, Milan] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 7).\n |- The departure day of Oslo is Day 6. The arrival day of Vienna is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 7).\n |- The departure day of Tallinn is Day 6. The arrival day of Vienna is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 7).\n |- The departure day of Milan is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 7 - 8).\n   |- The departure day of Vienna is Day 7. The arrival day of Rome is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Vienna to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, Vienna, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Tallinn] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Rome to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Milan, Vienna, Rome, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n         |- Check for direct flight from Oslo to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Milan, Vienna, Rome, Oslo, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Rome.\n**Day 7-8:** Visit Rome for 2 days.\n**Day 8:** Fly from Rome to Oslo.\n**Day 8-13:** Visit Oslo for 6 days.\n**Day 13:** Fly from Oslo to Tallinn.\n**Day 13-18:** Visit Tallinn for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Hamburg**Geneva**Dublin**Seville",
    "ground_truth_durations": "7**3**5**5**7",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 7,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Dublin",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 5 days. You are going to attend a wedding in Dublin between day 13 and day 17. You plan to stay in Geneva for 5 days. You want to spend 7 days in Seville. You plan to stay in Copenhagen for 7 days. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 7 and day 9.\n\nHere are the cities that have direct flights:\nCopenhagen and Dublin, Geneva and Dublin, Copenhagen and Geneva, Copenhagen and Hamburg, Hamburg and Dublin, from Hamburg to Geneva, Dublin and Seville.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 5 days. You are going to attend a wedding in Dublin between day 13 and day 17. You plan to stay in Geneva for 5 days. You want to spend 7 days in Seville. You plan to stay in Copenhagen for 7 days. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 7 and day 9.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Dublin, from Geneva to Dublin, from Copenhagen to Geneva, from Copenhagen to Hamburg, from Hamburg to Dublin, from Hamburg to Geneva, from Dublin to Seville.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Seville.\n**Day 17-23:** Visit Seville for 7 days.",
    "id": "trip_planning_example_569",
    "estimated_output_tokens": 1753,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Geneva, Duration: 5 days.\n* City: Seville, Duration: 7 days.\n* City: Copenhagen, Duration: 7 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 7 - 9.\n* City: Dublin, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Geneva, Duration: 5 days.\n* City: Seville, Duration: 7 days.\n* City: Copenhagen, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Seville, Copenhagen] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 7 - 9).\n |- The departure day of Geneva is Day 5. The arrival day of Hamburg is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Geneva to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Geneva to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 7 - 9).\n |- The departure day of Seville is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Seville to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 7 - 9).\n |- The departure day of Copenhagen is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Copenhagen to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 13 - 17).\n   |- The departure day of Hamburg is Day 9. The arrival day of Dublin is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Hamburg].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Seville] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Hamburg to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 13 - 17).\n     |- The departure day of Geneva is Day 13. The arrival day of Dublin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Copenhagen, Hamburg, Geneva].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Geneva to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Copenhagen, Hamburg, Geneva, Dublin].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 17. Duration: 7 days. Schedule: Day 17 - 23.\n         |- Check for direct flight from Dublin to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Copenhagen, Hamburg, Geneva, Dublin, Seville].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Copenhagen and visit Copenhagen for 7 days.\n**Day 7:** Fly from Copenhagen to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Seville.\n**Day 17-23:** Visit Seville for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Vilnius**Helsinki**Prague**Valencia",
    "ground_truth_durations": "6**5**7**7**2",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. During day 1 and day 6, you have to attend a conference in Split. You plan to stay in Helsinki for 7 days. You plan to stay in Vilnius for 5 days. You would like to visit Valencia for 2 days. You want to spend 7 days in Prague.\n\nHere are the cities that have direct flights:\nSplit and Vilnius, Vilnius and Helsinki, Prague and Valencia, Split and Prague, Split and Helsinki, Helsinki and Prague.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Split. During day 1 and day 6, you have to attend a conference in Split. You plan to stay in Helsinki for 7 days. You plan to stay in Vilnius for 5 days. You would like to visit Valencia for 2 days. You want to spend 7 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Split to Vilnius, from Vilnius to Helsinki, from Prague to Valencia, from Split to Prague, from Split to Helsinki, from Helsinki to Prague.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-6:** Arriving in Split and visit Split for 6 days.\n**Day 6:** Fly from Split to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Helsinki.\n**Day 10-16:** Visit Helsinki for 7 days.\n**Day 16:** Fly from Helsinki to Prague.\n**Day 16-22:** Visit Prague for 7 days.\n**Day 22:** Fly from Prague to Valencia.\n**Day 22-23:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_570",
    "estimated_output_tokens": 1876,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Helsinki, Duration: 7 days.\n* City: Vilnius, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Prague, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 7 days.\n* City: Vilnius, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Prague, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Valencia, Prague] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia, Prague] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Helsinki to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Split, Helsinki, Prague].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Split, Helsinki, Prague, Valencia].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Valencia to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Split to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Split, Vilnius].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Prague] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Split, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Prague] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n       |- Check for direct flight from Helsinki to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n       |- Check for direct flight from Helsinki to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 22. Current plan: [Split, Vilnius, Helsinki, Prague].\n        |- Check whether the city with an arrival day of Day 22 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n         |- Check for direct flight from Prague to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Split, Vilnius, Helsinki, Prague, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Split and visit Split for 6 days.\n**Day 6:** Fly from Split to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Helsinki.\n**Day 10-16:** Visit Helsinki for 7 days.\n**Day 16:** Fly from Helsinki to Prague.\n**Day 16-22:** Visit Prague for 7 days.\n**Day 22:** Fly from Prague to Valencia.\n**Day 22-23:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Stuttgart**Venice**Nice**Riga",
    "ground_truth_durations": "5**6**6**7**2",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Nice"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Edinburgh",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. During day 5 and day 10, you have to attend a conference in Stuttgart. You plan to stay in Riga for 2 days. You want to spend 6 days in Venice. From day 10 to day 15, there is a annual show you want to attend in Venice. You want to spend 7 days in Nice. You want to spend 5 days in Edinburgh.\n\nHere are the cities that have direct flights:\nVenice and Nice, Edinburgh and Stuttgart, Nice and Riga, Stuttgart and Venice, Edinburgh and Riga, Edinburgh and Venice, Edinburgh and Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. During day 5 and day 10, you have to attend a conference in Stuttgart. You plan to stay in Riga for 2 days. You want to spend 6 days in Venice. From day 10 to day 15, there is a annual show you want to attend in Venice. You want to spend 7 days in Nice. You want to spend 5 days in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Venice to Nice, from Edinburgh to Stuttgart, from Nice to Riga, from Stuttgart to Venice, from Edinburgh to Riga, from Edinburgh to Venice, from Edinburgh to Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Stuttgart.\n**Day 5-10:** Visit Stuttgart for 6 days.\n**Day 10:** Fly from Stuttgart to Venice.\n**Day 10-15:** Visit Venice for 6 days.\n**Day 15:** Fly from Venice to Nice.\n**Day 15-21:** Visit Nice for 7 days.\n**Day 21:** Fly from Nice to Riga.\n**Day 21-22:** Visit Riga for 2 days.",
    "id": "trip_planning_example_571",
    "estimated_output_tokens": 1627,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 6 days, Fixed Schedule: Day 5 - 10.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 6 days, Fixed Schedule: Day 10 - 15.\n* City: Nice, Duration: 7 days.\n* City: Edinburgh, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 10.\n* City: Venice, Fixed Schedule: Day 10 - 15.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Nice, Duration: 7 days.\n* City: Edinburgh, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Nice, Edinburgh] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 10).\n |- The departure day of Riga is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Riga to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 10).\n |- The departure day of Nice is Day 7. The arrival day of Stuttgart is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 10).\n |- The departure day of Edinburgh is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Edinburgh to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 15).\n   |- The departure day of Stuttgart is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Edinburgh, Stuttgart].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Stuttgart to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Edinburgh, Stuttgart, Venice].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Nice] and explore these options in order.\n       |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Edinburgh, Stuttgart, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n         |- Check for direct flight from Nice to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Edinburgh, Stuttgart, Venice, Nice, Riga].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Stuttgart.\n**Day 5-10:** Visit Stuttgart for 6 days.\n**Day 10:** Fly from Stuttgart to Venice.\n**Day 10-15:** Visit Venice for 6 days.\n**Day 15:** Fly from Venice to Nice.\n**Day 15-21:** Visit Nice for 7 days.\n**Day 21:** Fly from Nice to Riga.\n**Day 21-22:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Valencia**Athens**Munich**Reykjavik",
    "ground_truth_durations": "6**2**4**3**2",
    "num_cities": 5,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Athens"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Athens",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 6 days. You would like to meet your friends at Seville between day 1 and day 6 to tour together. You plan to stay in Athens for 4 days. You would like to visit Valencia for 2 days. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 10 and day 12. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, Seville and Munich, from Reykjavik to Athens, Munich and Reykjavik, Valencia and Munich, Seville and Valencia, Athens and Munich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 6 days. You would like to meet your friends at Seville between day 1 and day 6 to tour together. You plan to stay in Athens for 4 days. You would like to visit Valencia for 2 days. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 10 and day 12. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, from Seville to Munich, from Reykjavik to Athens, from Munich to Reykjavik, from Valencia to Munich, from Seville to Valencia, from Athens to Munich.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 13 days:\n\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-10:** Visit Athens for 4 days.\n**Day 10:** Fly from Athens to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Reykjavik.\n**Day 12-13:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_572",
    "estimated_output_tokens": 1287,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Athens, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 6.\n* City: Munich, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 10 - 12).\n |- The departure day of Seville is Day 6. The arrival day of Munich is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Valencia, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n   |- Check for direct flight from Seville to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Seville to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 10 - 12).\n   |- The departure day of Valencia is Day 7. The arrival day of Munich is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Seville, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Athens from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 10 - 12).\n     |- The departure day of Athens is Day 10. The arrival day of Munich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Athens to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Valencia, Athens, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Munich to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Seville, Valencia, Athens, Munich, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Seville and visit Seville for 6 days.\n**Day 6:** Fly from Seville to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-10:** Visit Athens for 4 days.\n**Day 10:** Fly from Athens to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Reykjavik.\n**Day 12-13:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Copenhagen**Nice**Mykonos**Madrid",
    "ground_truth_durations": "2**2**4**4**3",
    "num_cities": 5,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Nice"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 2 and day 3. You would like to visit Porto for 2 days. You plan to stay in Madrid for 3 days. From day 9 to day 11, there is a annual show you want to attend in Madrid. You want to spend 4 days in Nice. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nPorto and Nice, Nice and Madrid, Porto and Copenhagen, Porto and Madrid, Copenhagen and Nice, Copenhagen and Madrid, Nice and Mykonos, Mykonos and Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 2 and day 3. You would like to visit Porto for 2 days. You plan to stay in Madrid for 3 days. From day 9 to day 11, there is a annual show you want to attend in Madrid. You want to spend 4 days in Nice. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Nice, from Nice to Madrid, from Porto to Copenhagen, from Porto to Madrid, from Copenhagen to Nice, from Copenhagen to Madrid, from Nice to Mykonos, from Mykonos to Madrid.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 11 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Copenhagen.\n**Day 2-3:** Visit Copenhagen for 2 days.\n**Day 3:** Fly from Copenhagen to Nice.\n**Day 3-6:** Visit Nice for 4 days.\n**Day 6:** Fly from Nice to Mykonos.\n**Day 6-9:** Visit Mykonos for 4 days.\n**Day 9:** Fly from Mykonos to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.",
    "id": "trip_planning_example_573",
    "estimated_output_tokens": 1263,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Porto, Duration: 2 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 2 - 3.\n* City: Madrid, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Nice, Mykonos] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 2 - 3).\n |- The departure day of Porto is Day 2. The arrival day of Copenhagen is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 9 - 11).\n   |- The departure day of Copenhagen is Day 3. The arrival day of Madrid is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Porto, Copenhagen].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Mykonos] and explore these options in order.\n     |- Try arranging to visit Nice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Copenhagen to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 9 - 11).\n     |- The departure day of Nice is Day 6. The arrival day of Madrid is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Copenhagen, Nice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 9 - 11).\n       |- The departure day of Mykonos is Day 9. The arrival day of Madrid is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Copenhagen, Nice, Mykonos].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Mykonos to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Copenhagen, Nice, Mykonos, Madrid].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Copenhagen.\n**Day 2-3:** Visit Copenhagen for 2 days.\n**Day 3:** Fly from Copenhagen to Nice.\n**Day 3-6:** Visit Nice for 4 days.\n**Day 6:** Fly from Nice to Mykonos.\n**Day 6-9:** Visit Mykonos for 4 days.\n**Day 9:** Fly from Mykonos to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Dublin**Porto**Nice",
    "ground_truth_durations": "7**7**5**4**7",
    "num_cities": 5,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Nice"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 7 days in Vilnius. You want to spend 7 days in Split. You want to meet a friend in Split between day 7 and day 13. You want to spend 4 days in Porto. During day 17 and day 20, you have to attend a conference in Porto. You want to spend 7 days in Nice.\n\nHere are the cities that have direct flights:\nDublin and Nice, Porto and Nice, Dublin and Porto, Vilnius and Split, Split and Dublin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 7 days in Vilnius. You want to spend 7 days in Split. You want to meet a friend in Split between day 7 and day 13. You want to spend 4 days in Porto. During day 17 and day 20, you have to attend a conference in Porto. You want to spend 7 days in Nice.\n\nHere are the cities that have direct flights:\nfrom Dublin to Nice, from Porto to Nice, from Dublin to Porto, from Vilnius to Split, from Split to Dublin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 26 days:\n\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-13:** Visit Split for 7 days.\n**Day 13:** Fly from Split to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Porto.\n**Day 17-20:** Visit Porto for 4 days.\n**Day 20:** Fly from Porto to Nice.\n**Day 20-26:** Visit Nice for 7 days.",
    "id": "trip_planning_example_574",
    "estimated_output_tokens": 1596,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days.\n* City: Vilnius, Duration: 7 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Nice, Duration: 7 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 7 - 13.\n* City: Porto, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Dublin, Duration: 5 days.\n* City: Vilnius, Duration: 7 days.\n* City: Nice, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Vilnius, Nice] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 7 - 13).\n |- The departure day of Dublin is Day 5. The arrival day of Split is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Nice] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Dublin to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Dublin to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 7 - 13).\n   |- The departure day of Nice is Day 11. The arrival day of Split is Day 7. Day 11 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 7 - 13).\n |- The departure day of Vilnius is Day 7. The arrival day of Split is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Split.\n   |- Try arranging to visit Split from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 17 - 20).\n   |- The departure day of Split is Day 13. The arrival day of Porto is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Nice] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n     |- Check for direct flight from Split to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 17 - 20).\n     |- The departure day of Dublin is Day 17. The arrival day of Porto is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Vilnius, Split, Dublin].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- Yes. The city with an arrival day of Day 17 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n       |- Check for direct flight from Dublin to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Vilnius, Split, Dublin, Porto].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n         |- Try arranging to visit Nice from Day 20. Duration: 7 days. Schedule: Day 20 - 26.\n         |- Check for direct flight from Porto to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 26. Current plan: [Vilnius, Split, Dublin, Porto, Nice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Vilnius and visit Vilnius for 7 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-13:** Visit Split for 7 days.\n**Day 13:** Fly from Split to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Porto.\n**Day 17-20:** Visit Porto for 4 days.\n**Day 20:** Fly from Porto to Nice.\n**Day 20-26:** Visit Nice for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Porto**Copenhagen**Split",
    "ground_truth_durations": "3**6**5**5**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 16,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You want to spend 6 days in Istanbul. You would like to visit Porto for 5 days. You want to spend 7 days in Split. You want to meet a friend in Split between day 16 and day 22. You want to spend 3 days in Salzburg.\n\nHere are the cities that have direct flights:\nSalzburg and Istanbul, Istanbul and Porto, Copenhagen and Split, Istanbul and Copenhagen, Porto and Copenhagen.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You want to spend 6 days in Istanbul. You would like to visit Porto for 5 days. You want to spend 7 days in Split. You want to meet a friend in Split between day 16 and day 22. You want to spend 3 days in Salzburg.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Istanbul, from Istanbul to Porto, from Copenhagen to Split, from Istanbul to Copenhagen, from Porto to Copenhagen.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-8:** Visit Istanbul for 6 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Copenhagen.\n**Day 12-16:** Visit Copenhagen for 5 days.\n**Day 16:** Fly from Copenhagen to Split.\n**Day 16-22:** Visit Split for 7 days.",
    "id": "trip_planning_example_575",
    "estimated_output_tokens": 3559,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days.\n* City: Istanbul, Duration: 6 days.\n* City: Porto, Duration: 5 days.\n* City: Split, Duration: 7 days, Fixed Schedule: Day 16 - 22.\n* City: Salzburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 16 - 22.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 5 days.\n* City: Istanbul, Duration: 6 days.\n* City: Porto, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Istanbul, Porto, Salzburg] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 22).\n |- The departure day of Copenhagen is Day 5. The arrival day of Split is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Porto, Salzburg] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Copenhagen to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Copenhagen to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 22).\n |- The departure day of Istanbul is Day 6. The arrival day of Split is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Porto, Salzburg] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Istanbul to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 16 - 22).\n   |- The departure day of Copenhagen is Day 10. The arrival day of Split is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Istanbul, Copenhagen].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Salzburg] and explore these options in order.\n     |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Copenhagen to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Istanbul to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 16 - 22).\n   |- The departure day of Porto is Day 10. The arrival day of Split is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Istanbul, Porto].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n     |- Check for direct flight from Porto to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 16 - 22).\n     |- The departure day of Copenhagen is Day 14. The arrival day of Split is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Istanbul, Porto, Copenhagen].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n       |- Check for direct flight from Copenhagen to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Porto to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n   |- Check for direct flight from Istanbul to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 22).\n |- The departure day of Porto is Day 5. The arrival day of Split is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Istanbul, Salzburg] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 16 - 22).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Split is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Copenhagen to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Porto to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Porto to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 16 - 22).\n |- The departure day of Salzburg is Day 3. The arrival day of Split is Day 16. Day 3 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Istanbul, Porto] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 16 - 22).\n   |- The departure day of Istanbul is Day 8. The arrival day of Split is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Porto] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Istanbul to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 22).\n     |- The departure day of Copenhagen is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Istanbul, Copenhagen].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Copenhagen to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Istanbul to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 22).\n     |- The departure day of Porto is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Istanbul, Porto].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Porto to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 16 - 22).\n       |- The departure day of Copenhagen is Day 16. The arrival day of Split is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Salzburg, Istanbul, Porto, Copenhagen].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Split.\n         |- Try arranging to visit Split from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Copenhagen to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Salzburg, Istanbul, Porto, Copenhagen, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-8:** Visit Istanbul for 6 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Copenhagen.\n**Day 12-16:** Visit Copenhagen for 5 days.\n**Day 16:** Fly from Copenhagen to Split.\n**Day 16-22:** Visit Split for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Frankfurt**Venice**Nice**Mykonos",
    "ground_truth_durations": "5**7**7**5**7",
    "num_cities": 5,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 11,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Nice"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Nice. You would like to meet your friends at Nice between day 17 and day 21 to tour together. You want to spend 7 days in Frankfurt. You want to spend 7 days in Mykonos. You would like to visit Tallinn for 5 days. You want to spend 7 days in Venice. You plan to visit relatives in Venice between day 11 and day 17.\n\nHere are the cities that have direct flights:\nVenice and Nice, Frankfurt and Venice, Nice and Mykonos, Tallinn and Frankfurt, Frankfurt and Nice.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Nice. You would like to meet your friends at Nice between day 17 and day 21 to tour together. You want to spend 7 days in Frankfurt. You want to spend 7 days in Mykonos. You would like to visit Tallinn for 5 days. You want to spend 7 days in Venice. You plan to visit relatives in Venice between day 11 and day 17.\n\nHere are the cities that have direct flights:\nfrom Venice to Nice, from Frankfurt to Venice, from Nice to Mykonos, from Tallinn to Frankfurt, from Frankfurt to Nice.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 27 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Frankfurt.\n**Day 5-11:** Visit Frankfurt for 7 days.\n**Day 11:** Fly from Frankfurt to Venice.\n**Day 11-17:** Visit Venice for 7 days.\n**Day 17:** Fly from Venice to Nice.\n**Day 17-21:** Visit Nice for 5 days.\n**Day 21:** Fly from Nice to Mykonos.\n**Day 21-27:** Visit Mykonos for 7 days.",
    "id": "trip_planning_example_576",
    "estimated_output_tokens": 1845,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Frankfurt, Duration: 7 days.\n* City: Mykonos, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 11 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 11 - 17.\n* City: Nice, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 7 days.\n* City: Mykonos, Duration: 7 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Mykonos, Tallinn] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 17).\n |- The departure day of Frankfurt is Day 7. The arrival day of Venice is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Frankfurt to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Frankfurt to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 17).\n |- The departure day of Mykonos is Day 7. The arrival day of Venice is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Mykonos to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Mykonos to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 17).\n |- The departure day of Tallinn is Day 5. The arrival day of Venice is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Mykonos] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Tallinn to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 11 - 17).\n   |- The departure day of Frankfurt is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Tallinn, Frankfurt].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 17 - 21).\n     |- The departure day of Venice is Day 17. The arrival day of Nice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 17. Current plan: [Tallinn, Frankfurt, Venice].\n      |- Check whether the city with an arrival day of Day 17 - is fixed.\n      |- Yes. The city with an arrival day of Day 17 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Tallinn, Frankfurt, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 21. Duration: 7 days. Schedule: Day 21 - 27.\n         |- Check for direct flight from Nice to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 27. Current plan: [Tallinn, Frankfurt, Venice, Nice, Mykonos].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Frankfurt.\n**Day 5-11:** Visit Frankfurt for 7 days.\n**Day 11:** Fly from Frankfurt to Venice.\n**Day 11-17:** Visit Venice for 7 days.\n**Day 17:** Fly from Venice to Nice.\n**Day 17-21:** Visit Nice for 5 days.\n**Day 21:** Fly from Nice to Mykonos.\n**Day 21-27:** Visit Mykonos for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Krakow**Stuttgart**Edinburgh**Geneva",
    "ground_truth_durations": "6**5**6**3**2",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Krakow",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You have to attend a workshop in Warsaw between day 1 and day 6. You want to spend 2 days in Geneva. You plan to stay in Edinburgh for 3 days. You would like to visit Krakow for 5 days. You would like to meet your friends at Krakow between day 6 and day 10 to tour together. You plan to stay in Stuttgart for 6 days.\n\nHere are the cities that have direct flights:\nWarsaw and Stuttgart, Krakow and Edinburgh, Warsaw and Krakow, Stuttgart and Edinburgh, Edinburgh and Geneva, Warsaw and Geneva, Krakow and Stuttgart.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 6 days. You have to attend a workshop in Warsaw between day 1 and day 6. You want to spend 2 days in Geneva. You plan to stay in Edinburgh for 3 days. You would like to visit Krakow for 5 days. You would like to meet your friends at Krakow between day 6 and day 10 to tour together. You plan to stay in Stuttgart for 6 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Stuttgart, from Krakow to Edinburgh, from Warsaw to Krakow, from Stuttgart to Edinburgh, from Edinburgh to Geneva, from Warsaw to Geneva, from Krakow to Stuttgart.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Krakow.\n**Day 6-10:** Visit Krakow for 5 days.\n**Day 10:** Fly from Krakow to Stuttgart.\n**Day 10-15:** Visit Stuttgart for 6 days.\n**Day 15:** Fly from Stuttgart to Edinburgh.\n**Day 15-17:** Visit Edinburgh for 3 days.\n**Day 17:** Fly from Edinburgh to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_577",
    "estimated_output_tokens": 1680,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Geneva, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stuttgart, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 6.\n* City: Krakow, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Geneva, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Stuttgart, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 6 - 10).\n |- The departure day of Warsaw is Day 6. The arrival day of Krakow is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Warsaw to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Warsaw, Krakow].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Edinburgh, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Krakow to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n     |- Check for direct flight from Krakow to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Warsaw, Krakow, Edinburgh].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Edinburgh to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Warsaw, Krakow, Edinburgh, Geneva].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n         |- Check for direct flight from Geneva to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Edinburgh to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Krakow to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Warsaw, Krakow, Stuttgart].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Stuttgart to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Stuttgart to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Warsaw, Krakow, Stuttgart, Edinburgh].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Edinburgh to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Warsaw, Krakow, Stuttgart, Edinburgh, Geneva].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Warsaw and visit Warsaw for 6 days.\n**Day 6:** Fly from Warsaw to Krakow.\n**Day 6-10:** Visit Krakow for 5 days.\n**Day 10:** Fly from Krakow to Stuttgart.\n**Day 10-15:** Visit Stuttgart for 6 days.\n**Day 15:** Fly from Stuttgart to Edinburgh.\n**Day 15-17:** Visit Edinburgh for 3 days.\n**Day 17:** Fly from Edinburgh to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Stockholm**Santorini**Barcelona**Paris",
    "ground_truth_durations": "3**7**4**5**4",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Stockholm",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 7 days. You want to spend 3 days in Prague. From day 1 to day 3, there is a annual show you want to attend in Prague. You would like to visit Paris for 4 days. During day 16 and day 19, you have to attend a conference in Paris. You want to spend 5 days in Barcelona. You would like to visit Santorini for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Paris, Prague and Paris, Prague and Stockholm, Prague and Barcelona, Santorini and Barcelona, Stockholm and Barcelona, Stockholm and Paris, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 7 days. You want to spend 3 days in Prague. From day 1 to day 3, there is a annual show you want to attend in Prague. You would like to visit Paris for 4 days. During day 16 and day 19, you have to attend a conference in Paris. You want to spend 5 days in Barcelona. You would like to visit Santorini for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Paris, from Prague to Paris, from Prague to Stockholm, from Prague to Barcelona, from Santorini to Barcelona, from Stockholm to Barcelona, from Stockholm to Paris, from Stockholm to Santorini.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Stockholm.\n**Day 3-9:** Visit Stockholm for 7 days.\n**Day 9:** Fly from Stockholm to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.\n**Day 12:** Fly from Santorini to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Paris.\n**Day 16-19:** Visit Paris for 4 days.",
    "id": "trip_planning_example_578",
    "estimated_output_tokens": 1524,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 7 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Barcelona, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 3.\n* City: Paris, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 7 days.\n* City: Barcelona, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 16 - 19).\n |- The departure day of Prague is Day 3. The arrival day of Paris is Day 16. Day 3 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Barcelona, Santorini] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Prague to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 16 - 19).\n   |- The departure day of Stockholm is Day 9. The arrival day of Paris is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Prague, Stockholm].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Santorini] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 16 - 19).\n     |- The departure day of Barcelona is Day 13. The arrival day of Paris is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Prague, Stockholm, Barcelona].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 16 - 19).\n     |- The departure day of Santorini is Day 12. The arrival day of Paris is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Santorini to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Paris (Day 16 - 19).\n       |- The departure day of Barcelona is Day 16. The arrival day of Paris is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Prague, Stockholm, Santorini, Barcelona].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Barcelona to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Prague, Stockholm, Santorini, Barcelona, Paris].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Stockholm.\n**Day 3-9:** Visit Stockholm for 7 days.\n**Day 9:** Fly from Stockholm to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.\n**Day 12:** Fly from Santorini to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Paris.\n**Day 16-19:** Visit Paris for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Venice**Istanbul**Krakow**Lisbon",
    "ground_truth_durations": "4**6**3**2**6",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 12,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Athens",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You plan to stay in Krakow for 2 days. You would like to visit Venice for 6 days. You plan to stay in Lisbon for 6 days. You have to attend a workshop in Lisbon between day 12 and day 17. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 1 and day 4.\n\nHere are the cities that have direct flights:\nAthens and Lisbon, Istanbul and Krakow, Venice and Lisbon, Krakow and Lisbon, Istanbul and Lisbon, Athens and Istanbul, Venice and Istanbul, Athens and Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You plan to stay in Krakow for 2 days. You would like to visit Venice for 6 days. You plan to stay in Lisbon for 6 days. You have to attend a workshop in Lisbon between day 12 and day 17. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Athens to Lisbon, from Istanbul to Krakow, from Venice to Lisbon, from Krakow to Lisbon, from Istanbul to Lisbon, from Athens to Istanbul, from Venice to Istanbul, from Athens to Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Venice.\n**Day 4-9:** Visit Venice for 6 days.\n**Day 9:** Fly from Venice to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Krakow.\n**Day 11-12:** Visit Krakow for 2 days.\n**Day 12:** Fly from Krakow to Lisbon.\n**Day 12-17:** Visit Lisbon for 6 days.",
    "id": "trip_planning_example_579",
    "estimated_output_tokens": 1813,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Venice, Duration: 6 days.\n* City: Lisbon, Duration: 6 days, Fixed Schedule: Day 12 - 17.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 12 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Venice, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 12 - 17).\n |- The departure day of Athens is Day 4. The arrival day of Lisbon is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow, Venice] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 12 - 17).\n   |- The departure day of Istanbul is Day 6. The arrival day of Lisbon is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Venice] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Istanbul to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 12 - 17).\n     |- The departure day of Krakow is Day 7. The arrival day of Lisbon is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Athens, Istanbul, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n       |- Check for direct flight from Krakow to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Istanbul to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Athens to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 12 - 17).\n   |- The departure day of Venice is Day 9. The arrival day of Lisbon is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Athens, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 12 - 17).\n     |- The departure day of Istanbul is Day 11. The arrival day of Lisbon is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Venice, Istanbul].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Istanbul to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 12 - 17).\n       |- The departure day of Krakow is Day 12. The arrival day of Lisbon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Venice, Istanbul, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n         |- Check for direct flight from Krakow to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Athens, Venice, Istanbul, Krakow, Lisbon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Venice.\n**Day 4-9:** Visit Venice for 6 days.\n**Day 9:** Fly from Venice to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Krakow.\n**Day 11-12:** Visit Krakow for 2 days.\n**Day 12:** Fly from Krakow to Lisbon.\n**Day 12-17:** Visit Lisbon for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Porto**Paris**Reykjavik**Oslo",
    "ground_truth_durations": "7**7**6**2**5",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Oslo"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Porto",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 6 days. You want to spend 5 days in Oslo. You plan to visit relatives in Oslo between day 19 and day 23. You want to spend 7 days in Porto. You would like to visit Geneva for 7 days. During day 1 and day 7, you have to attend a conference in Geneva. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nParis and Oslo, Geneva and Oslo, Porto and Paris, Geneva and Paris, Geneva and Porto, Paris and Reykjavik, Reykjavik and Oslo, Porto and Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 6 days. You want to spend 5 days in Oslo. You plan to visit relatives in Oslo between day 19 and day 23. You want to spend 7 days in Porto. You would like to visit Geneva for 7 days. During day 1 and day 7, you have to attend a conference in Geneva. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Paris to Oslo, from Geneva to Oslo, from Porto to Paris, from Geneva to Paris, from Geneva to Porto, from Paris to Reykjavik, from Reykjavik to Oslo, from Porto to Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Geneva and visit Geneva for 7 days.\n**Day 7:** Fly from Geneva to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n**Day 13:** Fly from Porto to Paris.\n**Day 13-18:** Visit Paris for 6 days.\n**Day 18:** Fly from Paris to Reykjavik.\n**Day 18-19:** Visit Reykjavik for 2 days.\n**Day 19:** Fly from Reykjavik to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_580",
    "estimated_output_tokens": 1802,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 6 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Porto, Duration: 7 days.\n* City: Geneva, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 7.\n* City: Oslo, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Paris, Duration: 6 days.\n* City: Porto, Duration: 7 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 19 - 23).\n |- The departure day of Geneva is Day 7. The arrival day of Oslo is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Porto, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Paris from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n   |- Check for direct flight from Geneva to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 19 - 23).\n   |- The departure day of Paris is Day 12. The arrival day of Oslo is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Geneva, Paris].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Porto from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n     |- Check for direct flight from Paris to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 19 - 23).\n     |- The departure day of Reykjavik is Day 13. The arrival day of Oslo is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Geneva, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n       |- Try arranging to visit Porto from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n       |- Check for direct flight from Reykjavik to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Geneva to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 19 - 23).\n   |- The departure day of Porto is Day 13. The arrival day of Oslo is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Geneva, Porto].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Paris from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n     |- Check for direct flight from Porto to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 19 - 23).\n     |- The departure day of Paris is Day 18. The arrival day of Oslo is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 18. Current plan: [Geneva, Porto, Paris].\n      |- Check whether the city with an arrival day of Day 18 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Oslo (Day 19 - 23).\n       |- The departure day of Reykjavik is Day 19. The arrival day of Oslo is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 19. Current plan: [Geneva, Porto, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 19 - is fixed.\n        |- Yes. The city with an arrival day of Day 19 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n         |- Check for direct flight from Reykjavik to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Geneva, Porto, Paris, Reykjavik, Oslo].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Geneva and visit Geneva for 7 days.\n**Day 7:** Fly from Geneva to Porto.\n**Day 7-13:** Visit Porto for 7 days.\n**Day 13:** Fly from Porto to Paris.\n**Day 13-18:** Visit Paris for 6 days.\n**Day 18:** Fly from Paris to Reykjavik.\n**Day 18-19:** Visit Reykjavik for 2 days.\n**Day 19:** Fly from Reykjavik to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Copenhagen**Dubrovnik**Naples**Valencia",
    "ground_truth_durations": "3**5**5**7**3",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to visit Naples for 7 days. You would like to visit Valencia for 3 days. From day 17 to day 19, there is a annual show you want to attend in Valencia. You want to spend 5 days in Copenhagen. You plan to stay in Edinburgh for 3 days. You would like to meet your friends at Edinburgh between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nCopenhagen and Dubrovnik, Copenhagen and Naples, Copenhagen and Valencia, Naples and Valencia, Dubrovnik and Naples, Edinburgh and Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to visit Naples for 7 days. You would like to visit Valencia for 3 days. From day 17 to day 19, there is a annual show you want to attend in Valencia. You want to spend 5 days in Copenhagen. You plan to stay in Edinburgh for 3 days. You would like to meet your friends at Edinburgh between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Dubrovnik, from Copenhagen to Naples, from Copenhagen to Valencia, from Naples to Valencia, from Dubrovnik to Naples, from Edinburgh to Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.\n**Day 11:** Fly from Dubrovnik to Naples.\n**Day 11-17:** Visit Naples for 7 days.\n**Day 17:** Fly from Naples to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_581",
    "estimated_output_tokens": 1360,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Naples, Duration: 7 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Copenhagen, Duration: 5 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Naples, Duration: 7 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 17 - 19).\n |- The departure day of Edinburgh is Day 3. The arrival day of Valencia is Day 17. Day 3 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Edinburgh to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Edinburgh to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Edinburgh to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 17 - 19).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Valencia is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 17 - 19).\n     |- The departure day of Dubrovnik is Day 11. The arrival day of Valencia is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Copenhagen, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n       |- Try arranging to visit Naples from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 19).\n       |- The departure day of Naples is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Edinburgh, Copenhagen, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Edinburgh, Copenhagen, Dubrovnik, Naples, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.\n**Day 11:** Fly from Dubrovnik to Naples.\n**Day 11-17:** Visit Naples for 7 days.\n**Day 17:** Fly from Naples to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Stockholm**Santorini**Barcelona**Florence",
    "ground_truth_durations": "2**5**6**7**4",
    "num_cities": 5,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. You are going to attend a wedding in Stockholm between day 2 and day 6. You would like to visit Barcelona for 7 days. You want to spend 4 days in Florence. You would like to visit Prague for 2 days. You would like to visit Santorini for 6 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, Barcelona and Florence, Prague and Barcelona, Prague and Florence, Santorini and Barcelona, Prague and Stockholm, Stockholm and Barcelona.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. You are going to attend a wedding in Stockholm between day 2 and day 6. You would like to visit Barcelona for 7 days. You want to spend 4 days in Florence. You would like to visit Prague for 2 days. You would like to visit Santorini for 6 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, from Barcelona to Florence, from Prague to Barcelona, from Prague to Florence, from Santorini to Barcelona, from Prague to Stockholm, from Stockholm to Barcelona.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 20 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Santorini.\n**Day 6-11:** Visit Santorini for 6 days.\n**Day 11:** Fly from Santorini to Barcelona.\n**Day 11-17:** Visit Barcelona for 7 days.\n**Day 17:** Fly from Barcelona to Florence.\n**Day 17-20:** Visit Florence for 4 days.",
    "id": "trip_planning_example_582",
    "estimated_output_tokens": 1865,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Barcelona, Duration: 7 days.\n* City: Florence, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Santorini, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 2 - 6.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 7 days.\n* City: Florence, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Santorini, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Florence, Prague, Santorini] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Barcelona is Day 7. The arrival day of Stockholm is Day 2. Day 7 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Florence is Day 4. The arrival day of Stockholm is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Prague is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Florence, Santorini] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Stockholm, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Santorini] and explore these options in order.\n       |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Prague, Stockholm, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n         |- Check for direct flight from Florence to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Prague, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Florence] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 7 days. Schedule: Day 11 - 17.\n       |- Check for direct flight from Santorini to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Prague, Stockholm, Santorini, Barcelona].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Barcelona to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Prague, Stockholm, Santorini, Barcelona, Florence].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Santorini.\n**Day 6-11:** Visit Santorini for 6 days.\n**Day 11:** Fly from Santorini to Barcelona.\n**Day 11-17:** Visit Barcelona for 7 days.\n**Day 17:** Fly from Barcelona to Florence.\n**Day 17-20:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Budapest**Lisbon**Athens**Vilnius",
    "ground_truth_durations": "2**3**4**6**4",
    "num_cities": 5,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Paris",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You want to spend 2 days in Paris. You want to meet a friend in Paris between day 1 and day 2. You want to spend 3 days in Budapest. During day 2 and day 4, you have to attend a conference in Budapest. You would like to visit Lisbon for 4 days. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Vilnius, Budapest and Lisbon, Paris and Athens, Paris and Budapest, Paris and Vilnius, Lisbon and Athens, Paris and Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 6 days. You want to spend 2 days in Paris. You want to meet a friend in Paris between day 1 and day 2. You want to spend 3 days in Budapest. During day 2 and day 4, you have to attend a conference in Budapest. You would like to visit Lisbon for 4 days. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Vilnius, from Budapest to Lisbon, from Paris to Athens, from Paris to Budapest, from Paris to Vilnius, from Lisbon to Athens, from Paris to Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 15 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Athens.\n**Day 7-12:** Visit Athens for 6 days.\n**Day 12:** Fly from Athens to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_583",
    "estimated_output_tokens": 1190,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 6 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Budapest, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Athens, Duration: 6 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 2 - 4).\n |- The departure day of Paris is Day 2. The arrival day of Budapest is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Paris to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Lisbon, Vilnius] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n     |- Check for direct flight from Budapest to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Budapest to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Budapest, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius] and explore these options in order.\n       |- Try arranging to visit Athens from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n       |- Check for direct flight from Lisbon to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Paris, Budapest, Lisbon, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Athens to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Paris, Budapest, Lisbon, Athens, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Athens.\n**Day 7-12:** Visit Athens for 6 days.\n**Day 12:** Fly from Athens to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Edinburgh**Riga**Tallinn",
    "ground_truth_durations": "6**2**6**7**2",
    "num_cities": 5,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 7
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 2 days. You plan to stay in Munich for 2 days. You plan to stay in Edinburgh for 6 days. You want to spend 6 days in Florence. You would like to visit Riga for 7 days.\n\nHere are the cities that have direct flights:\nMunich and Edinburgh, Edinburgh and Riga, from Riga to Tallinn, from Florence to Munich, from Riga to Munich, Munich and Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 2 days. You plan to stay in Munich for 2 days. You plan to stay in Edinburgh for 6 days. You want to spend 6 days in Florence. You would like to visit Riga for 7 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Edinburgh, from Edinburgh to Riga, from Riga to Tallinn, from Florence to Munich, from Riga to Munich, from Munich to Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 19 days:\n\n**Day 1-6:** Arriving in Florence and visit Florence for 6 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-7:** Visit Munich for 2 days.\n**Day 7:** Fly from Munich to Edinburgh.\n**Day 7-12:** Visit Edinburgh for 6 days.\n**Day 12:** Fly from Edinburgh to Riga.\n**Day 12-18:** Visit Riga for 7 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_584",
    "estimated_output_tokens": 4414,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Edinburgh, Duration: 6 days.\n* City: Florence, Duration: 6 days.\n* City: Riga, Duration: 7 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Edinburgh, Duration: 6 days.\n* City: Florence, Duration: 6 days.\n* City: Riga, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Munich, Edinburgh, Florence, Riga] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Edinburgh, Florence, Riga] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Tallinn to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Tallinn to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Tallinn to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Edinburgh, Florence, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Munich, Tallinn].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Florence, Riga] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Tallinn to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n     |- Check for direct flight from Tallinn to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n     |- Check for direct flight from Tallinn to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Munich to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Edinburgh].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Edinburgh to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Edinburgh to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Edinburgh to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Munich, Edinburgh, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Munich, Edinburgh, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Riga to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Munich to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Munich to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Munich, Florence, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Edinburgh to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Edinburgh to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Edinburgh to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Munich, Florence] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Florence] and explore these options in order.\n       |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Tallinn to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Tallinn to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n     |- Check for direct flight from Riga to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Riga, Munich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Munich to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Edinburgh, Riga, Munich, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 14. Duration: 6 days. Schedule: Day 14 - 19.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 13. Duration: 6 days. Schedule: Day 13 - 18.\n       |- Check for direct flight from Munich to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 12. Duration: 6 days. Schedule: Day 12 - 17.\n     |- Check for direct flight from Riga to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Munich, Edinburgh, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Florence to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Edinburgh, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Riga] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 6 days. Schedule: Day 8 - 13.\n       |- Check for direct flight from Tallinn to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 6 days. Schedule: Day 7 - 12.\n     |- Check for direct flight from Munich to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Florence, Munich, Edinburgh].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Edinburgh to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 12. Duration: 7 days. Schedule: Day 12 - 18.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 18. Current plan: [Florence, Munich, Edinburgh, Riga].\n        |- Check whether the city with an arrival day of Day 18 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Florence, Munich, Edinburgh, Riga, Tallinn].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Florence and visit Florence for 6 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-7:** Visit Munich for 2 days.\n**Day 7:** Fly from Munich to Edinburgh.\n**Day 7-12:** Visit Edinburgh for 6 days.\n**Day 12:** Fly from Edinburgh to Riga.\n**Day 12-18:** Visit Riga for 7 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Naples**Brussels**Riga**Warsaw",
    "ground_truth_durations": "3**6**7**2**4",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 3,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Riga",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Naples. You want to meet a friend in Naples between day 3 and day 8. You want to spend 7 days in Brussels. You want to spend 2 days in Riga. You would like to visit Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 15 and day 18. You would like to visit Venice for 3 days.\n\nHere are the cities that have direct flights:\nNaples and Warsaw, Naples and Brussels, Venice and Brussels, Venice and Naples, Venice and Warsaw, Brussels and Warsaw, Brussels and Riga, Riga and Warsaw.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 6 days in Naples. You want to meet a friend in Naples between day 3 and day 8. You want to spend 7 days in Brussels. You want to spend 2 days in Riga. You would like to visit Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 15 and day 18. You would like to visit Venice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Warsaw, from Naples to Brussels, from Venice to Brussels, from Venice to Naples, from Venice to Warsaw, from Brussels to Warsaw, from Brussels to Riga, from Riga to Warsaw.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Naples.\n**Day 3-8:** Visit Naples for 6 days.\n**Day 8:** Fly from Naples to Brussels.\n**Day 8-14:** Visit Brussels for 7 days.\n**Day 14:** Fly from Brussels to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_585",
    "estimated_output_tokens": 1658,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 6 days, Fixed Schedule: Day 3 - 8.\n* City: Brussels, Duration: 7 days.\n* City: Riga, Duration: 2 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Venice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 3 - 8.\n* City: Warsaw, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Brussels, Duration: 7 days.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Riga, Venice] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 8).\n |- The departure day of Brussels is Day 7. The arrival day of Naples is Day 3. Day 7 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 8).\n |- The departure day of Riga is Day 2. The arrival day of Naples is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Venice] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Riga to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 8).\n |- The departure day of Venice is Day 3. The arrival day of Naples is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 3. Duration: 6 days. Schedule: Day 3 - 8.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 15 - 18).\n   |- The departure day of Naples is Day 8. The arrival day of Warsaw is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Naples].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Riga] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Naples to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 15 - 18).\n     |- The departure day of Brussels is Day 14. The arrival day of Warsaw is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Venice, Naples, Brussels].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n       |- Check for direct flight from Brussels to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 15 - 18).\n       |- The departure day of Riga is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Venice, Naples, Brussels, Riga].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Riga to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Venice, Naples, Brussels, Riga, Warsaw].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Naples.\n**Day 3-8:** Visit Naples for 6 days.\n**Day 8:** Fly from Naples to Brussels.\n**Day 8-14:** Visit Brussels for 7 days.\n**Day 14:** Fly from Brussels to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Helsinki**Naples**Frankfurt**Lyon",
    "ground_truth_durations": "2**4**4**3**3",
    "num_cities": 5,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Prague",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You want to spend 4 days in Naples. You would like to visit Helsinki for 4 days. From day 2 to day 5, there is a annual show you want to attend in Helsinki. You want to spend 3 days in Lyon. You want to spend 2 days in Prague. You have to attend a workshop in Prague between day 1 and day 2.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Prague and Frankfurt, Frankfurt and Lyon, Helsinki and Naples, Helsinki and Frankfurt, Naples and Frankfurt, Prague and Helsinki.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You want to spend 4 days in Naples. You would like to visit Helsinki for 4 days. From day 2 to day 5, there is a annual show you want to attend in Helsinki. You want to spend 3 days in Lyon. You want to spend 2 days in Prague. You have to attend a workshop in Prague between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Prague to Frankfurt, from Frankfurt to Lyon, from Helsinki to Naples, from Helsinki to Frankfurt, from Naples to Frankfurt, from Prague to Helsinki.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 12 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Helsinki.\n**Day 2-5:** Visit Helsinki for 4 days.\n**Day 5:** Fly from Helsinki to Naples.\n**Day 5-8:** Visit Naples for 4 days.\n**Day 8:** Fly from Naples to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_586",
    "estimated_output_tokens": 1571,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Lyon, Duration: 3 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 2 - 5.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 5).\n |- The departure day of Prague is Day 2. The arrival day of Helsinki is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Naples, Lyon] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Helsinki to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Helsinki, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Lyon] and explore these options in order.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Frankfurt to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Frankfurt to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Prague, Helsinki, Frankfurt, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n         |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lyon to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Helsinki, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Naples to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Prague, Helsinki, Naples, Frankfurt].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Frankfurt to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Prague, Helsinki, Naples, Frankfurt, Lyon].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Helsinki.\n**Day 2-5:** Visit Helsinki for 4 days.\n**Day 5:** Fly from Helsinki to Naples.\n**Day 5-8:** Visit Naples for 4 days.\n**Day 8:** Fly from Naples to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Venice**Lyon**Istanbul**Krakow",
    "ground_truth_durations": "3**7**2**7**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Venice"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Manchester",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 1 and day 3. You would like to visit Istanbul for 7 days. You want to spend 7 days in Venice. You have to attend a workshop in Venice between day 3 and day 9. You plan to stay in Krakow for 6 days. You plan to stay in Lyon for 2 days.\n\nHere are the cities that have direct flights:\nManchester and Venice, Manchester and Istanbul, Venice and Istanbul, Istanbul and Krakow, Venice and Lyon, Lyon and Istanbul, Manchester and Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 1 and day 3. You would like to visit Istanbul for 7 days. You want to spend 7 days in Venice. You have to attend a workshop in Venice between day 3 and day 9. You plan to stay in Krakow for 6 days. You plan to stay in Lyon for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Venice, from Manchester to Istanbul, from Venice to Istanbul, from Istanbul to Krakow, from Venice to Lyon, from Lyon to Istanbul, from Manchester to Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Istanbul.\n**Day 10-16:** Visit Istanbul for 7 days.\n**Day 16:** Fly from Istanbul to Krakow.\n**Day 16-21:** Visit Krakow for 6 days.",
    "id": "trip_planning_example_587",
    "estimated_output_tokens": 1625,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Duration: 7 days.\n* City: Venice, Duration: 7 days, Fixed Schedule: Day 3 - 9.\n* City: Krakow, Duration: 6 days.\n* City: Lyon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 3 - 9.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 7 days.\n* City: Krakow, Duration: 6 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 9).\n |- The departure day of Manchester is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Manchester to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Manchester, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow, Lyon] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Manchester, Venice, Istanbul].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Lyon] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Istanbul to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Manchester, Venice, Istanbul, Krakow].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n         |- Check for direct flight from Krakow to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n       |- Check for direct flight from Istanbul to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 6 days. Schedule: Day 9 - 14.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Venice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Manchester, Venice, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 7 days. Schedule: Day 10 - 16.\n       |- Check for direct flight from Lyon to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Manchester, Venice, Lyon, Istanbul].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Istanbul to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Manchester, Venice, Lyon, Istanbul, Krakow].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Venice.\n**Day 3-9:** Visit Venice for 7 days.\n**Day 9:** Fly from Venice to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Istanbul.\n**Day 10-16:** Visit Istanbul for 7 days.\n**Day 16:** Fly from Istanbul to Krakow.\n**Day 16-21:** Visit Krakow for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Istanbul**Venice**Stuttgart**Split",
    "ground_truth_durations": "5**6**6**6**6",
    "num_cities": 5,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Paris",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You would like to visit Venice for 6 days. During day 10 and day 15, you have to attend a conference in Venice. You would like to visit Paris for 5 days. You want to meet a friend in Paris between day 1 and day 5. You want to spend 6 days in Istanbul. You want to spend 6 days in Split.\n\nHere are the cities that have direct flights:\nIstanbul and Stuttgart, Paris and Venice, Stuttgart and Split, Istanbul and Venice, Paris and Istanbul, Paris and Stuttgart, Venice and Stuttgart, Paris and Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 6 days. You would like to visit Venice for 6 days. During day 10 and day 15, you have to attend a conference in Venice. You would like to visit Paris for 5 days. You want to meet a friend in Paris between day 1 and day 5. You want to spend 6 days in Istanbul. You want to spend 6 days in Split.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Stuttgart, from Paris to Venice, from Stuttgart to Split, from Istanbul to Venice, from Paris to Istanbul, from Paris to Stuttgart, from Venice to Stuttgart, from Paris to Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 25 days:\n\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Venice.\n**Day 10-15:** Visit Venice for 6 days.\n**Day 15:** Fly from Venice to Stuttgart.\n**Day 15-20:** Visit Stuttgart for 6 days.\n**Day 20:** Fly from Stuttgart to Split.\n**Day 20-25:** Visit Split for 6 days.",
    "id": "trip_planning_example_588",
    "estimated_output_tokens": 1407,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 6 days.\n* City: Venice, Duration: 6 days, Fixed Schedule: Day 10 - 15.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Duration: 6 days.\n* City: Split, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 5.\n* City: Venice, Fixed Schedule: Day 10 - 15.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 6 days.\n* City: Istanbul, Duration: 6 days.\n* City: Split, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 15).\n |- The departure day of Paris is Day 5. The arrival day of Venice is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Istanbul, Split] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Paris to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 15).\n   |- The departure day of Stuttgart is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Paris, Stuttgart].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Stuttgart to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Paris to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 15).\n   |- The departure day of Istanbul is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Paris, Istanbul].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Istanbul to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Paris, Istanbul, Venice].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 15. Duration: 6 days. Schedule: Day 15 - 20.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 20. Current plan: [Paris, Istanbul, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 20 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 20. Duration: 6 days. Schedule: Day 20 - 25.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 25. Current plan: [Paris, Istanbul, Venice, Stuttgart, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Istanbul.\n**Day 5-10:** Visit Istanbul for 6 days.\n**Day 10:** Fly from Istanbul to Venice.\n**Day 10-15:** Visit Venice for 6 days.\n**Day 15:** Fly from Venice to Stuttgart.\n**Day 15-20:** Visit Stuttgart for 6 days.\n**Day 20:** Fly from Stuttgart to Split.\n**Day 20-25:** Visit Split for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Prague**Reykjavik**Lisbon**Venice",
    "ground_truth_durations": "7**7**7**6**3",
    "num_cities": 5,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Paris",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You want to spend 7 days in Paris. During day 1 and day 7, you have to attend a conference in Paris. You want to spend 7 days in Prague. You plan to visit relatives in Prague between day 7 and day 13. You would like to visit Reykjavik for 7 days. You plan to stay in Lisbon for 6 days.\n\nHere are the cities that have direct flights:\nReykjavik and Lisbon, Paris and Prague, Prague and Reykjavik, Paris and Reykjavik, Paris and Lisbon, Lisbon and Venice, Prague and Lisbon, Paris and Venice.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You want to spend 7 days in Paris. During day 1 and day 7, you have to attend a conference in Paris. You want to spend 7 days in Prague. You plan to visit relatives in Prague between day 7 and day 13. You would like to visit Reykjavik for 7 days. You plan to stay in Lisbon for 6 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Lisbon, from Paris to Prague, from Prague to Reykjavik, from Paris to Reykjavik, from Paris to Lisbon, from Lisbon to Venice, from Prague to Lisbon, from Paris to Venice.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 26 days:\n\n**Day 1-7:** Arriving in Paris and visit Paris for 7 days.\n**Day 7:** Fly from Paris to Prague.\n**Day 7-13:** Visit Prague for 7 days.\n**Day 13:** Fly from Prague to Reykjavik.\n**Day 13-19:** Visit Reykjavik for 7 days.\n**Day 19:** Fly from Reykjavik to Lisbon.\n**Day 19-24:** Visit Lisbon for 6 days.\n**Day 24:** Fly from Lisbon to Venice.\n**Day 24-26:** Visit Venice for 3 days.",
    "id": "trip_planning_example_589",
    "estimated_output_tokens": 1255,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days.\n* City: Paris, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Prague, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Reykjavik, Duration: 7 days.\n* City: Lisbon, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 7.\n* City: Prague, Fixed Schedule: Day 7 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Reykjavik, Duration: 7 days.\n* City: Lisbon, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 7 - 13).\n |- The departure day of Paris is Day 7. The arrival day of Prague is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Paris to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 13. Current plan: [Paris, Prague].\n    |- Check whether the city with an arrival day of Day 13 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Venice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n     |- Check for direct flight from Prague to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 13. Duration: 7 days. Schedule: Day 13 - 19.\n     |- Check for direct flight from Prague to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 19. Current plan: [Paris, Prague, Reykjavik].\n      |- Check whether the city with an arrival day of Day 19 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Lisbon] and explore these options in order.\n       |- Try arranging to visit Venice from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n       |- Check for direct flight from Reykjavik to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 19. Duration: 6 days. Schedule: Day 19 - 24.\n       |- Check for direct flight from Reykjavik to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 24. Current plan: [Paris, Prague, Reykjavik, Lisbon].\n        |- Check whether the city with an arrival day of Day 24 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n         |- Check for direct flight from Lisbon to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 26. Current plan: [Paris, Prague, Reykjavik, Lisbon, Venice].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Paris and visit Paris for 7 days.\n**Day 7:** Fly from Paris to Prague.\n**Day 7-13:** Visit Prague for 7 days.\n**Day 13:** Fly from Prague to Reykjavik.\n**Day 13-19:** Visit Reykjavik for 7 days.\n**Day 19:** Fly from Reykjavik to Lisbon.\n**Day 19-24:** Visit Lisbon for 6 days.\n**Day 24:** Fly from Lisbon to Venice.\n**Day 24-26:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Krakow**Vilnius**Paris**Stockholm",
    "ground_truth_durations": "7**3**7**7**3",
    "num_cities": 5,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Krakow",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 7 days. During day 9 and day 15, you have to attend a conference in Vilnius. You want to spend 7 days in Edinburgh. You want to meet a friend in Edinburgh between day 1 and day 7. You plan to stay in Paris for 7 days. You plan to stay in Krakow for 3 days. You plan to stay in Stockholm for 3 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Stockholm, Krakow and Stockholm, Paris and Stockholm, Edinburgh and Krakow, from Krakow to Vilnius, Vilnius and Paris, Edinburgh and Paris, Krakow and Paris.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 7 days. During day 9 and day 15, you have to attend a conference in Vilnius. You want to spend 7 days in Edinburgh. You want to meet a friend in Edinburgh between day 1 and day 7. You plan to stay in Paris for 7 days. You plan to stay in Krakow for 3 days. You plan to stay in Stockholm for 3 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Stockholm, from Krakow to Stockholm, from Paris to Stockholm, from Edinburgh to Krakow, from Krakow to Vilnius, from Vilnius to Paris, from Edinburgh to Paris, from Krakow to Paris.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 23 days:\n\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-15:** Visit Vilnius for 7 days.\n**Day 15:** Fly from Vilnius to Paris.\n**Day 15-21:** Visit Paris for 7 days.\n**Day 21:** Fly from Paris to Stockholm.\n**Day 21-23:** Visit Stockholm for 3 days.",
    "id": "trip_planning_example_590",
    "estimated_output_tokens": 1325,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 7 days, Fixed Schedule: Day 9 - 15.\n* City: Edinburgh, Duration: 7 days, Fixed Schedule: Day 1 - 7.\n* City: Paris, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 7.\n* City: Vilnius, Fixed Schedule: Day 9 - 15.\n\nCities needing arrangement:\n* City: Paris, Duration: 7 days.\n* City: Krakow, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 15).\n |- The departure day of Edinburgh is Day 7. The arrival day of Vilnius is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Krakow, Stockholm] and explore these options in order.\n   |- Try arranging to visit Paris from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Edinburgh to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 9 - 15).\n   |- The departure day of Paris is Day 13. The arrival day of Vilnius is Day 9. Day 13 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 9 - 15).\n   |- The departure day of Krakow is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Edinburgh, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Stockholm] and explore these options in order.\n       |- Try arranging to visit Paris from Day 15. Duration: 7 days. Schedule: Day 15 - 21.\n       |- Check for direct flight from Vilnius to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 21. Current plan: [Edinburgh, Krakow, Vilnius, Paris].\n        |- Check whether the city with an arrival day of Day 21 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n         |- Check for direct flight from Paris to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 23. Current plan: [Edinburgh, Krakow, Vilnius, Paris, Stockholm].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Edinburgh and visit Edinburgh for 7 days.\n**Day 7:** Fly from Edinburgh to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-15:** Visit Vilnius for 7 days.\n**Day 15:** Fly from Vilnius to Paris.\n**Day 15-21:** Visit Paris for 7 days.\n**Day 21:** Fly from Paris to Stockholm.\n**Day 21-23:** Visit Stockholm for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Munich**Bucharest**Valencia**Stuttgart",
    "ground_truth_durations": "4**7**2**6**2",
    "num_cities": 5,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Munich"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Geneva",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You plan to stay in Bucharest for 2 days. You would like to visit Geneva for 4 days. You plan to visit relatives in Geneva between day 1 and day 4. You plan to stay in Valencia for 6 days. You want to spend 7 days in Munich. You would like to meet your friends at Munich between day 4 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nGeneva and Munich, Munich and Valencia, Bucharest and Valencia, Munich and Bucharest, Valencia and Stuttgart, Geneva and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You plan to stay in Bucharest for 2 days. You would like to visit Geneva for 4 days. You plan to visit relatives in Geneva between day 1 and day 4. You plan to stay in Valencia for 6 days. You want to spend 7 days in Munich. You would like to meet your friends at Munich between day 4 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nfrom Geneva to Munich, from Munich to Valencia, from Bucharest to Valencia, from Munich to Bucharest, from Valencia to Stuttgart, from Geneva to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 17 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Munich.\n**Day 4-10:** Visit Munich for 7 days.\n**Day 10:** Fly from Munich to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Stuttgart.\n**Day 16-17:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_591",
    "estimated_output_tokens": 1234,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Duration: 6 days.\n* City: Munich, Duration: 7 days, Fixed Schedule: Day 4 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 10.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Valencia, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 10).\n |- The departure day of Geneva is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 7 days. Schedule: Day 4 - 10.\n   |- Check for direct flight from Geneva to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Geneva, Munich].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Bucharest, Valencia] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Munich to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Munich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Geneva, Munich, Bucharest].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Bucharest to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Bucharest to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Geneva, Munich, Bucharest, Valencia].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Geneva, Munich, Bucharest, Valencia, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Munich.\n**Day 4-10:** Visit Munich for 7 days.\n**Day 10:** Fly from Munich to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Valencia.\n**Day 11-16:** Visit Valencia for 6 days.\n**Day 16:** Fly from Valencia to Stuttgart.\n**Day 16-17:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Stuttgart**Split**Zurich**Bucharest",
    "ground_truth_durations": "6**5**2**6**6",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 6
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 6 days. You would like to visit Zurich for 6 days. You plan to stay in Split for 2 days. You would like to visit Porto for 6 days. You have to attend a workshop in Porto between day 1 and day 6. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nPorto and Stuttgart, Split and Zurich, Zurich and Bucharest, Porto and Zurich, Stuttgart and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 6 days. You would like to visit Zurich for 6 days. You plan to stay in Split for 2 days. You would like to visit Porto for 6 days. You have to attend a workshop in Porto between day 1 and day 6. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Stuttgart, from Split to Zurich, from Zurich to Bucharest, from Porto to Zurich, from Stuttgart to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Stuttgart.\n**Day 6-10:** Visit Stuttgart for 5 days.\n**Day 10:** Fly from Stuttgart to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Zurich.\n**Day 11-16:** Visit Zurich for 6 days.\n**Day 16:** Fly from Zurich to Bucharest.\n**Day 16-21:** Visit Bucharest for 6 days.",
    "id": "trip_planning_example_592",
    "estimated_output_tokens": 1872,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 6 days.\n* City: Zurich, Duration: 6 days.\n* City: Split, Duration: 2 days.\n* City: Porto, Duration: 6 days, Fixed Schedule: Day 1 - 6.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 6.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 6 days.\n* City: Zurich, Duration: 6 days.\n* City: Split, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich, Split, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Porto to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 6. Duration: 6 days. Schedule: Day 6 - 11.\n   |- Check for direct flight from Porto to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Porto, Zurich].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Split, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n     |- Check for direct flight from Zurich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 16. Current plan: [Porto, Zurich, Bucharest].\n      |- Check whether the city with an arrival day of Day 16 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n       |- Check for direct flight from Bucharest to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n       |- Check for direct flight from Bucharest to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n     |- Check for direct flight from Zurich to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n     |- Check for direct flight from Zurich to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Porto to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n   |- Check for direct flight from Porto to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 10. Current plan: [Porto, Stuttgart].\n    |- Check whether the city with an arrival day of Day 10 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich, Split] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Stuttgart to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 10. Duration: 6 days. Schedule: Day 10 - 15.\n     |- Check for direct flight from Stuttgart to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n     |- Check for direct flight from Stuttgart to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Stuttgart, Split].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Split to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 6 days. Schedule: Day 11 - 16.\n       |- Check for direct flight from Split to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Porto, Stuttgart, Split, Zurich].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 16. Duration: 6 days. Schedule: Day 16 - 21.\n         |- Check for direct flight from Zurich to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Porto, Stuttgart, Split, Zurich, Bucharest].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Porto and visit Porto for 6 days.\n**Day 6:** Fly from Porto to Stuttgart.\n**Day 6-10:** Visit Stuttgart for 5 days.\n**Day 10:** Fly from Stuttgart to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Zurich.\n**Day 11-16:** Visit Zurich for 6 days.\n**Day 16:** Fly from Zurich to Bucharest.\n**Day 16-21:** Visit Bucharest for 6 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Istanbul**Lyon**Barcelona**Split",
    "ground_truth_durations": "2**6**7**2**5",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Lyon",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Lyon. From day 7 to day 13, there is a annual show you want to attend in Lyon. You want to spend 2 days in Stuttgart. You plan to stay in Istanbul for 6 days. You want to spend 5 days in Split. You want to meet a friend in Split between day 14 and day 18. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nBarcelona and Split, Lyon and Split, Stuttgart and Istanbul, Stuttgart and Split, Istanbul and Lyon, Stuttgart and Barcelona, Istanbul and Barcelona, Lyon and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 7 days in Lyon. From day 7 to day 13, there is a annual show you want to attend in Lyon. You want to spend 2 days in Stuttgart. You plan to stay in Istanbul for 6 days. You want to spend 5 days in Split. You want to meet a friend in Split between day 14 and day 18. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Split, from Lyon to Split, from Stuttgart to Istanbul, from Stuttgart to Split, from Istanbul to Lyon, from Stuttgart to Barcelona, from Istanbul to Barcelona, from Lyon to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Istanbul.\n**Day 2-7:** Visit Istanbul for 6 days.\n**Day 7:** Fly from Istanbul to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Split.\n**Day 14-18:** Visit Split for 5 days.",
    "id": "trip_planning_example_593",
    "estimated_output_tokens": 1237,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 7 days, Fixed Schedule: Day 7 - 13.\n* City: Stuttgart, Duration: 2 days.\n* City: Istanbul, Duration: 6 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 7 - 13.\n* City: Split, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Istanbul, Duration: 6 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Istanbul, Barcelona] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 13).\n |- The departure day of Stuttgart is Day 2. The arrival day of Lyon is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Barcelona] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 6 days. Schedule: Day 2 - 7.\n   |- Check for direct flight from Stuttgart to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 7 - 13).\n   |- The departure day of Istanbul is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Istanbul to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 14 - 18).\n     |- The departure day of Lyon is Day 13. The arrival day of Split is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Stuttgart, Istanbul, Lyon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Lyon to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 14 - 18).\n       |- The departure day of Barcelona is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Istanbul, Lyon, Barcelona].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n         |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Barcelona to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Istanbul, Lyon, Barcelona, Split].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Istanbul.\n**Day 2-7:** Visit Istanbul for 6 days.\n**Day 7:** Fly from Istanbul to Lyon.\n**Day 7-13:** Visit Lyon for 7 days.\n**Day 13:** Fly from Lyon to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Split.\n**Day 14-18:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Manchester**Barcelona**Riga**Vilnius",
    "ground_truth_durations": "7**3**2**5**5",
    "num_cities": 5,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Madrid",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. During day 7 and day 9, you have to attend a conference in Manchester. You would like to visit Madrid for 7 days. You plan to stay in Riga for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, Manchester and Riga, Madrid and Barcelona, Barcelona and Riga, Manchester and Barcelona, Madrid and Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. During day 7 and day 9, you have to attend a conference in Manchester. You would like to visit Madrid for 7 days. You plan to stay in Riga for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, from Manchester to Riga, from Madrid to Barcelona, from Barcelona to Riga, from Manchester to Barcelona, from Madrid to Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 18 days:\n\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_594",
    "estimated_output_tokens": 1663,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Madrid, Duration: 7 days.\n* City: Riga, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Madrid, Duration: 7 days.\n* City: Riga, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Riga, Vilnius, Barcelona] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 7 - 9).\n |- The departure day of Madrid is Day 7. The arrival day of Manchester is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- Yes. The city with an arrival day of Day 7 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Madrid to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Madrid, Manchester].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius, Barcelona] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Manchester to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Madrid, Manchester, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Madrid, Manchester, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Vilnius to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Riga to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Manchester to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Manchester to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Manchester, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius] and explore these options in order.\n       |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Madrid, Manchester, Barcelona, Riga].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Madrid, Manchester, Barcelona, Riga, Vilnius].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Madrid and visit Madrid for 7 days.\n**Day 7:** Fly from Madrid to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Zurich**Porto**Valencia**Stuttgart",
    "ground_truth_durations": "2**7**7**4**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 2,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You plan to stay in Zurich for 7 days. You want to meet a friend in Zurich between day 2 and day 8. You want to spend 5 days in Stuttgart. You plan to stay in Valencia for 4 days. From day 14 to day 17, there is a annual show you want to attend in Valencia. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nPorto and Valencia, Valencia and Stuttgart, Zurich and Valencia, Porto and Stuttgart, Vilnius and Zurich, Zurich and Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 7 days. You plan to stay in Zurich for 7 days. You want to meet a friend in Zurich between day 2 and day 8. You want to spend 5 days in Stuttgart. You plan to stay in Valencia for 4 days. From day 14 to day 17, there is a annual show you want to attend in Valencia. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Valencia, from Valencia to Stuttgart, from Zurich to Valencia, from Porto to Stuttgart, from Vilnius to Zurich, from Zurich to Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Zurich.\n**Day 2-8:** Visit Zurich for 7 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-17:** Visit Valencia for 4 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_595",
    "estimated_output_tokens": 1449,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 7 days.\n* City: Zurich, Duration: 7 days, Fixed Schedule: Day 2 - 8.\n* City: Stuttgart, Duration: 5 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 2 - 8.\n* City: Valencia, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Porto, Duration: 7 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Stuttgart, Vilnius] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 8).\n |- The departure day of Porto is Day 7. The arrival day of Zurich is Day 2. Day 7 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 8).\n |- The departure day of Stuttgart is Day 5. The arrival day of Zurich is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 8).\n |- The departure day of Vilnius is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 7 days. Schedule: Day 2 - 8.\n   |- Check for direct flight from Vilnius to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 14 - 17).\n   |- The departure day of Zurich is Day 8. The arrival day of Valencia is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Porto from Day 8. Duration: 7 days. Schedule: Day 8 - 14.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 14 - 17).\n     |- The departure day of Porto is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 14. Current plan: [Vilnius, Zurich, Porto].\n      |- Check whether the city with an arrival day of Day 14 - is fixed.\n      |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n       |- Check for direct flight from Porto to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Vilnius, Zurich, Porto, Valencia].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Vilnius, Zurich, Porto, Valencia, Stuttgart].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Zurich.\n**Day 2-8:** Visit Zurich for 7 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-14:** Visit Porto for 7 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-17:** Visit Valencia for 4 days.\n**Day 17:** Fly from Valencia to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Brussels**Frankfurt**Berlin**Salzburg",
    "ground_truth_durations": "6**7**4**3**5",
    "num_cities": 5,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 7
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 6,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 6
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Manchester",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You want to meet a friend in Berlin between day 15 and day 17. You want to spend 5 days in Salzburg. You want to spend 7 days in Brussels. During day 6 and day 12, you have to attend a conference in Brussels. You want to spend 4 days in Frankfurt. You want to spend 6 days in Manchester.\n\nHere are the cities that have direct flights:\nManchester and Berlin, Berlin and Salzburg, Frankfurt and Salzburg, Frankfurt and Berlin, Brussels and Berlin, from Brussels to Frankfurt, Manchester and Brussels, Manchester and Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You want to meet a friend in Berlin between day 15 and day 17. You want to spend 5 days in Salzburg. You want to spend 7 days in Brussels. During day 6 and day 12, you have to attend a conference in Brussels. You want to spend 4 days in Frankfurt. You want to spend 6 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Manchester to Berlin, from Berlin to Salzburg, from Frankfurt to Salzburg, from Frankfurt to Berlin, from Brussels to Berlin, from Brussels to Frankfurt, from Manchester to Brussels, from Manchester to Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 21 days:\n\n**Day 1-6:** Arriving in Manchester and visit Manchester for 6 days.\n**Day 6:** Fly from Manchester to Brussels.\n**Day 6-12:** Visit Brussels for 7 days.\n**Day 12:** Fly from Brussels to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Berlin.\n**Day 15-17:** Visit Berlin for 3 days.\n**Day 17:** Fly from Berlin to Salzburg.\n**Day 17-21:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_596",
    "estimated_output_tokens": 1913,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Salzburg, Duration: 5 days.\n* City: Brussels, Duration: 7 days, Fixed Schedule: Day 6 - 12.\n* City: Frankfurt, Duration: 4 days.\n* City: Manchester, Duration: 6 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 6 - 12.\n* City: Berlin, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Manchester, Duration: 6 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Manchester] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 6 - 12).\n |- The departure day of Salzburg is Day 5. The arrival day of Brussels is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Manchester] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 6 days. Schedule: Day 5 - 10.\n   |- Check for direct flight from Salzburg to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 6 - 12).\n |- The departure day of Frankfurt is Day 4. The arrival day of Brussels is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Manchester] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Frankfurt to Salzburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 6 - 12).\n   |- The departure day of Salzburg is Day 8. The arrival day of Brussels is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 6 days. Schedule: Day 4 - 9.\n   |- Check for direct flight from Frankfurt to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 6 - 12).\n |- The departure day of Manchester is Day 6. The arrival day of Brussels is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- Yes. The city with an arrival day of Day 6 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 6. Duration: 7 days. Schedule: Day 6 - 12.\n   |- Check for direct flight from Manchester to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 15 - 17).\n   |- The departure day of Brussels is Day 12. The arrival day of Berlin is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 12. Current plan: [Manchester, Brussels].\n    |- Check whether the city with an arrival day of Day 12 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n     |- Check for direct flight from Brussels to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n     |- Check for direct flight from Brussels to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Berlin (Day 15 - 17).\n     |- The departure day of Frankfurt is Day 15. The arrival day of Berlin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 15. Current plan: [Manchester, Brussels, Frankfurt].\n      |- Check whether the city with an arrival day of Day 15 - is fixed.\n      |- Yes. The city with an arrival day of Day 15 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n       |- Check for direct flight from Frankfurt to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Manchester, Brussels, Frankfurt, Berlin].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Manchester, Brussels, Frankfurt, Berlin, Salzburg].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Manchester and visit Manchester for 6 days.\n**Day 6:** Fly from Manchester to Brussels.\n**Day 6-12:** Visit Brussels for 7 days.\n**Day 12:** Fly from Brussels to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Berlin.\n**Day 15-17:** Visit Berlin for 3 days.\n**Day 17:** Fly from Berlin to Salzburg.\n**Day 17-21:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Prague**Rome**Reykjavik**Athens",
    "ground_truth_durations": "6**2**4**5**3",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Rome",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 6 days. You would like to visit Prague for 2 days. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 10 and day 14. You plan to stay in Athens for 3 days. You want to spend 4 days in Rome.\n\nHere are the cities that have direct flights:\nRome and Reykjavik, Prague and Athens, Prague and Rome, from Reykjavik to Athens, Tallinn and Prague, Prague and Reykjavik, Rome and Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 6 days. You would like to visit Prague for 2 days. You would like to visit Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 10 and day 14. You plan to stay in Athens for 3 days. You want to spend 4 days in Rome.\n\nHere are the cities that have direct flights:\nfrom Rome to Reykjavik, from Prague to Athens, from Prague to Rome, from Reykjavik to Athens, from Tallinn to Prague, from Prague to Reykjavik, from Rome to Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Prague.\n**Day 6-7:** Visit Prague for 2 days.\n**Day 7:** Fly from Prague to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-16:** Visit Athens for 3 days.",
    "id": "trip_planning_example_597",
    "estimated_output_tokens": 1523,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 6 days.\n* City: Prague, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Athens, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 6 days.\n* City: Prague, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Prague, Athens, Rome] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 6 days. Schedule: Day 1 - 6.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 10 - 14).\n |- The departure day of Tallinn is Day 6. The arrival day of Reykjavik is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 6. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 6 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Athens, Rome] and explore these options in order.\n   |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n   |- Check for direct flight from Tallinn to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 10 - 14).\n   |- The departure day of Prague is Day 7. The arrival day of Reykjavik is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Rome] and explore these options in order.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 14).\n     |- The departure day of Athens is Day 9. The arrival day of Reykjavik is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Tallinn, Prague, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n       |- Try arranging to visit Rome from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Athens to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 14).\n     |- The departure day of Rome is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Tallinn, Prague, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Tallinn, Prague, Rome, Reykjavik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Reykjavik to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Tallinn, Prague, Rome, Reykjavik, Athens].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-6:** Arriving in Tallinn and visit Tallinn for 6 days.\n**Day 6:** Fly from Tallinn to Prague.\n**Day 6-7:** Visit Prague for 2 days.\n**Day 7:** Fly from Prague to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Riga**Helsinki**Krakow**Valencia",
    "ground_truth_durations": "7**5**3**4**7",
    "num_cities": 5,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Valencia"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Krakow",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You want to spend 3 days in Helsinki. You plan to stay in Valencia for 7 days. You want to spend 7 days in Rome. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 13 and day 16.\n\nHere are the cities that have direct flights:\nRome and Valencia, Helsinki and Krakow, from Rome to Riga, Rome and Helsinki, Riga and Helsinki, Krakow and Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You want to spend 3 days in Helsinki. You plan to stay in Valencia for 7 days. You want to spend 7 days in Rome. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 13 and day 16.\n\nHere are the cities that have direct flights:\nfrom Rome to Valencia, from Helsinki to Krakow, from Rome to Riga, from Rome to Helsinki, from Riga to Helsinki, from Krakow to Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 22 days:\n\n**Day 1-7:** Arriving in Rome and visit Rome for 7 days.\n**Day 7:** Fly from Rome to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Valencia.\n**Day 16-22:** Visit Valencia for 7 days.",
    "id": "trip_planning_example_598",
    "estimated_output_tokens": 2524,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Helsinki, Duration: 3 days.\n* City: Valencia, Duration: 7 days.\n* City: Rome, Duration: 7 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Helsinki, Duration: 3 days.\n* City: Valencia, Duration: 7 days.\n* City: Rome, Duration: 7 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Helsinki, Valencia, Rome] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 13 - 16).\n |- The departure day of Riga is Day 5. The arrival day of Krakow is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Rome] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Riga to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 13 - 16).\n   |- The departure day of Helsinki is Day 7. The arrival day of Krakow is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Rome] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n     |- Check for direct flight from Helsinki to Rome.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Riga to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 7 days. Schedule: Day 5 - 11.\n   |- Check for direct flight from Riga to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 13 - 16).\n |- The departure day of Helsinki is Day 3. The arrival day of Krakow is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Valencia, Rome] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Helsinki to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 7 days. Schedule: Day 3 - 9.\n   |- Check for direct flight from Helsinki to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 13 - 16).\n |- The departure day of Valencia is Day 7. The arrival day of Krakow is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Helsinki, Rome] and explore these options in order.\n   |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Valencia to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 7. Duration: 7 days. Schedule: Day 7 - 13.\n   |- Check for direct flight from Valencia to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 7 days. Schedule: Day 1 - 7.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 13 - 16).\n |- The departure day of Rome is Day 7. The arrival day of Krakow is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 7. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 7 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Helsinki, Valencia] and explore these options in order.\n   |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n   |- Check for direct flight from Rome to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 13 - 16).\n   |- The departure day of Riga is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 11. Current plan: [Rome, Riga].\n    |- Check whether the city with an arrival day of Day 11 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n     |- Check for direct flight from Riga to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 16).\n     |- The departure day of Helsinki is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Rome, Riga, Helsinki].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Helsinki to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Rome, Riga, Helsinki, Krakow].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 16. Duration: 7 days. Schedule: Day 16 - 22.\n         |- Check for direct flight from Krakow to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 22. Current plan: [Rome, Riga, Helsinki, Krakow, Valencia].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-7:** Arriving in Rome and visit Rome for 7 days.\n**Day 7:** Fly from Rome to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Valencia.\n**Day 16-22:** Visit Valencia for 7 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Athens**Dubrovnik**Oslo**Reykjavik",
    "ground_truth_durations": "3**4**4**7**2",
    "num_cities": 5,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 7
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Bucharest",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. During day 6 and day 9, you have to attend a conference in Dubrovnik. You would like to visit Athens for 4 days. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 1 and day 3. You would like to visit Oslo for 7 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nBucharest and Athens, from Reykjavik to Athens, Athens and Dubrovnik, Dubrovnik and Oslo, Oslo and Reykjavik, Athens and Oslo, Bucharest and Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 5 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. During day 6 and day 9, you have to attend a conference in Dubrovnik. You would like to visit Athens for 4 days. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 1 and day 3. You would like to visit Oslo for 7 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Athens, from Reykjavik to Athens, from Athens to Dubrovnik, from Dubrovnik to Oslo, from Oslo to Reykjavik, from Athens to Oslo, from Bucharest to Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 5 European cities for 16 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Dubrovnik.\n**Day 6-9:** Visit Dubrovnik for 4 days.\n**Day 9:** Fly from Dubrovnik to Oslo.\n**Day 9-15:** Visit Oslo for 7 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_599",
    "estimated_output_tokens": 1241,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Athens, Duration: 4 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Duration: 7 days.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Oslo, Duration: 7 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 6 - 9).\n |- The departure day of Bucharest is Day 3. The arrival day of Dubrovnik is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Oslo, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 6 - 9).\n   |- The departure day of Athens is Day 6. The arrival day of Dubrovnik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Athens, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 9. Duration: 7 days. Schedule: Day 9 - 15.\n       |- Check for direct flight from Dubrovnik to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Bucharest, Athens, Dubrovnik, Oslo].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Bucharest, Athens, Dubrovnik, Oslo, Reykjavik].\n          |- All 5 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Dubrovnik.\n**Day 6-9:** Visit Dubrovnik for 4 days.\n**Day 9:** Fly from Dubrovnik to Oslo.\n**Day 9-15:** Visit Oslo for 7 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Riga**Istanbul**Lyon**Rome**Seville",
    "ground_truth_durations": "3**5**4**3**5**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You want to spend 3 days in Stockholm. You would like to visit Seville for 3 days. You want to meet a friend in Seville between day 16 and day 18. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 3 and day 7. You would like to visit Rome for 5 days. You plan to stay in Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nStockholm and Riga, Rome and Seville, Stockholm and Rome, from Rome to Riga, Riga and Istanbul, Istanbul and Lyon, Lyon and Rome, Stockholm and Istanbul, Istanbul and Rome.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You want to spend 3 days in Stockholm. You would like to visit Seville for 3 days. You want to meet a friend in Seville between day 16 and day 18. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 3 and day 7. You would like to visit Rome for 5 days. You plan to stay in Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Riga, from Rome to Seville, from Stockholm to Rome, from Rome to Riga, from Riga to Istanbul, from Istanbul to Lyon, from Lyon to Rome, from Stockholm to Istanbul, from Istanbul to Rome.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Riga.\n**Day 3-7:** Visit Riga for 5 days.\n**Day 7:** Fly from Riga to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Seville.\n**Day 16-18:** Visit Seville for 3 days.",
    "id": "trip_planning_example_600",
    "estimated_output_tokens": 1859,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Rome, Duration: 5 days.\n* City: Istanbul, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 3 - 7.\n* City: Seville, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Stockholm, Rome, Istanbul] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 7).\n |- The departure day of Lyon is Day 3. The arrival day of Riga is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 7).\n |- The departure day of Stockholm is Day 3. The arrival day of Riga is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 16 - 18).\n   |- The departure day of Riga is Day 7. The arrival day of Seville is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Riga].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Rome, Istanbul] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Riga to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Riga to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 16 - 18).\n     |- The departure day of Istanbul is Day 10. The arrival day of Seville is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stockholm, Riga, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Rome] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Istanbul to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 16 - 18).\n       |- The departure day of Lyon is Day 12. The arrival day of Seville is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stockholm, Riga, Istanbul, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n         |- Try arranging to visit Rome from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 16 - 18).\n         |- The departure day of Rome is Day 16. The arrival day of Seville is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stockholm, Riga, Istanbul, Lyon, Rome].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Rome to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stockholm, Riga, Istanbul, Lyon, Rome, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Riga.\n**Day 3-7:** Visit Riga for 5 days.\n**Day 7:** Fly from Riga to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Seville.\n**Day 16-18:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Dubrovnik**Helsinki**Milan**Porto**Lyon",
    "ground_truth_durations": "4**2**5**3**4**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Milan"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You plan to stay in Athens for 4 days. You would like to visit Dubrovnik for 2 days. You plan to stay in Porto for 4 days. You have to attend a workshop in Porto between day 11 and day 14. You would like to visit Helsinki for 5 days. From day 5 to day 9, there is a annual show you want to attend in Helsinki. You would like to visit Milan for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Milan, Milan and Porto, Porto and Lyon, Athens and Dubrovnik, Dubrovnik and Helsinki, Helsinki and Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You plan to stay in Athens for 4 days. You would like to visit Dubrovnik for 2 days. You plan to stay in Porto for 4 days. You have to attend a workshop in Porto between day 11 and day 14. You would like to visit Helsinki for 5 days. From day 5 to day 9, there is a annual show you want to attend in Helsinki. You would like to visit Milan for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Milan, from Milan to Porto, from Porto to Lyon, from Athens to Dubrovnik, from Dubrovnik to Helsinki, from Helsinki to Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-5:** Visit Dubrovnik for 2 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-9:** Visit Helsinki for 5 days.\n**Day 9:** Fly from Helsinki to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_601",
    "estimated_output_tokens": 1920,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Milan, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 5 - 9.\n* City: Porto, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Athens, Dubrovnik, Milan] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 5 - 9).\n |- The departure day of Lyon is Day 3. The arrival day of Helsinki is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Dubrovnik, Milan] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 5 - 9).\n |- The departure day of Athens is Day 4. The arrival day of Helsinki is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Milan] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 5 - 9).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Helsinki is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dubrovnik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 14).\n     |- The departure day of Helsinki is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Dubrovnik, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Milan] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 14).\n       |- The departure day of Milan is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Dubrovnik, Helsinki, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Milan to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Athens, Dubrovnik, Helsinki, Milan, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Porto to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Athens, Dubrovnik, Helsinki, Milan, Porto, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-5:** Visit Dubrovnik for 2 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-9:** Visit Helsinki for 5 days.\n**Day 9:** Fly from Helsinki to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Tallinn**Barcelona**Venice**Hamburg**Split",
    "ground_truth_durations": "5**5**3**2**2**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Split"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Venice",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You are going to attend a wedding in Berlin between day 1 and day 5. You want to spend 2 days in Venice. You would like to visit Barcelona for 3 days. You want to spend 3 days in Split. During day 13 and day 15, you have to attend a conference in Split. You want to spend 2 days in Hamburg. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nHamburg and Split, Barcelona and Venice, Berlin and Split, Berlin and Venice, Barcelona and Hamburg, Berlin and Barcelona, Barcelona and Split, Tallinn and Barcelona, Berlin and Tallinn, Venice and Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You are going to attend a wedding in Berlin between day 1 and day 5. You want to spend 2 days in Venice. You would like to visit Barcelona for 3 days. You want to spend 3 days in Split. During day 13 and day 15, you have to attend a conference in Split. You want to spend 2 days in Hamburg. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Split, from Barcelona to Venice, from Berlin to Split, from Berlin to Venice, from Barcelona to Hamburg, from Berlin to Barcelona, from Barcelona to Split, from Tallinn to Barcelona, from Berlin to Tallinn, from Venice to Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-11:** Visit Barcelona for 3 days.\n**Day 11:** Fly from Barcelona to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Hamburg.\n**Day 12-13:** Visit Hamburg for 2 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-15:** Visit Split for 3 days.",
    "id": "trip_planning_example_602",
    "estimated_output_tokens": 3272,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Venice, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Hamburg, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Split, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 15).\n |- The departure day of Berlin is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Barcelona, Hamburg, Tallinn] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 15).\n   |- The departure day of Venice is Day 6. The arrival day of Split is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Hamburg, Tallinn] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 13 - 15).\n     |- The departure day of Hamburg is Day 7. The arrival day of Split is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Venice, Hamburg].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Hamburg to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Hamburg to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 15).\n   |- The departure day of Barcelona is Day 7. The arrival day of Split is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Hamburg, Tallinn] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 13 - 15).\n     |- The departure day of Venice is Day 8. The arrival day of Split is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Barcelona, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Tallinn] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 13 - 15).\n       |- The departure day of Hamburg is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Barcelona, Venice, Hamburg].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 13 - 15).\n     |- The departure day of Hamburg is Day 8. The arrival day of Split is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Barcelona, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Tallinn] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Hamburg to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Hamburg to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Barcelona to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Berlin to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 15).\n   |- The departure day of Tallinn is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Berlin, Tallinn].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Barcelona, Hamburg] and explore these options in order.\n     |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Tallinn to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Tallinn to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 15).\n     |- The departure day of Barcelona is Day 11. The arrival day of Split is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Berlin, Tallinn, Barcelona].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Hamburg] and explore these options in order.\n       |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Barcelona to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 13 - 15).\n       |- The departure day of Venice is Day 12. The arrival day of Split is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Tallinn, Barcelona, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 13 - 15).\n         |- The departure day of Hamburg is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Tallinn, Barcelona, Venice, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n           |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Hamburg to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Berlin, Tallinn, Barcelona, Venice, Hamburg, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-11:** Visit Barcelona for 3 days.\n**Day 11:** Fly from Barcelona to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Hamburg.\n**Day 12-13:** Visit Hamburg for 2 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-15:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Berlin**Porto**Valencia**Copenhagen**Split",
    "ground_truth_durations": "2**3**2**5**2**2",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Porto"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Berlin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You would like to meet your friends at Valencia between day 5 and day 9 to tour together. You would like to visit Berlin for 3 days. From day 2 to day 4, there is a annual show you want to attend in Berlin. You would like to visit Porto for 2 days. You plan to stay in Riga for 2 days. You plan to stay in Copenhagen for 2 days. You want to spend 2 days in Split. You want to meet a friend in Split between day 10 and day 11.\n\nHere are the cities that have direct flights:\nBerlin and Porto, Valencia and Copenhagen, Riga and Berlin, Riga and Copenhagen, Berlin and Copenhagen, Porto and Copenhagen, Berlin and Split, Porto and Valencia, Copenhagen and Split, Berlin and Valencia.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You would like to meet your friends at Valencia between day 5 and day 9 to tour together. You would like to visit Berlin for 3 days. From day 2 to day 4, there is a annual show you want to attend in Berlin. You would like to visit Porto for 2 days. You plan to stay in Riga for 2 days. You plan to stay in Copenhagen for 2 days. You want to spend 2 days in Split. You want to meet a friend in Split between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Berlin to Porto, from Valencia to Copenhagen, from Riga to Berlin, from Riga to Copenhagen, from Berlin to Copenhagen, from Porto to Copenhagen, from Berlin to Split, from Porto to Valencia, from Copenhagen to Split, from Berlin to Valencia.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Porto.\n**Day 4-5:** Visit Porto for 2 days.\n**Day 5:** Fly from Porto to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Split.\n**Day 10-11:** Visit Split for 2 days.",
    "id": "trip_planning_example_603",
    "estimated_output_tokens": 1742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Porto, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 2 - 4.\n* City: Valencia, Fixed Schedule: Day 5 - 9.\n* City: Split, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Riga, Copenhagen] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 4).\n |- The departure day of Porto is Day 2. The arrival day of Berlin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 4).\n |- The departure day of Riga is Day 2. The arrival day of Berlin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 5 - 9).\n   |- The departure day of Berlin is Day 4. The arrival day of Valencia is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Porto from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Berlin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 5 - 9).\n     |- The departure day of Porto is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Berlin, Porto].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Porto to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 10 - 11).\n       |- The departure day of Valencia is Day 9. The arrival day of Split is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Riga, Berlin, Porto, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Valencia to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 10 - 11).\n         |- The departure day of Copenhagen is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Riga, Berlin, Porto, Valencia, Copenhagen].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n           |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Copenhagen to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Riga, Berlin, Porto, Valencia, Copenhagen, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Porto.\n**Day 4-5:** Visit Porto for 2 days.\n**Day 5:** Fly from Porto to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Split.\n**Day 10-11:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Porto**Paris**Stuttgart**Copenhagen**Vilnius",
    "ground_truth_durations": "4**2**5**3**3**5",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Paris",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. During day 1 and day 4, you have to attend a conference in Madrid. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 13 and day 17. You want to spend 3 days in Copenhagen. You want to spend 5 days in Paris. You have to attend a workshop in Paris between day 5 and day 9. You plan to stay in Porto for 2 days.\n\nHere are the cities that have direct flights:\nMadrid and Copenhagen, Paris and Stuttgart, Madrid and Porto, Porto and Paris, Copenhagen and Vilnius, Porto and Copenhagen, Porto and Stuttgart, Madrid and Paris, Paris and Vilnius, Stuttgart and Copenhagen, Paris and Copenhagen.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. During day 1 and day 4, you have to attend a conference in Madrid. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 13 and day 17. You want to spend 3 days in Copenhagen. You want to spend 5 days in Paris. You have to attend a workshop in Paris between day 5 and day 9. You plan to stay in Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Copenhagen, from Paris to Stuttgart, from Madrid to Porto, from Porto to Paris, from Copenhagen to Vilnius, from Porto to Copenhagen, from Porto to Stuttgart, from Madrid to Paris, from Paris to Vilnius, from Stuttgart to Copenhagen, from Paris to Copenhagen.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Porto.\n**Day 4-5:** Visit Porto for 2 days.\n**Day 5:** Fly from Porto to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_604",
    "estimated_output_tokens": 1675,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 3 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Copenhagen, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Madrid is Day 4. The arrival day of Paris is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Copenhagen, Porto] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 5 - 9).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Paris is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 5 - 9).\n   |- The departure day of Porto is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Porto].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Porto to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 13 - 17).\n     |- The departure day of Paris is Day 9. The arrival day of Vilnius is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Porto, Paris].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Paris to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 13 - 17).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Vilnius is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Porto, Paris, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Stuttgart to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 13 - 17).\n         |- The departure day of Copenhagen is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Madrid, Porto, Paris, Stuttgart, Copenhagen].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Copenhagen to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Madrid, Porto, Paris, Stuttgart, Copenhagen, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Porto.\n**Day 4-5:** Visit Porto for 2 days.\n**Day 5:** Fly from Porto to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Naples**Bucharest**Lyon**Rome**Oslo",
    "ground_truth_durations": "2**2**5**3**4**2",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Naples",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 12 and day 13. You plan to stay in Lyon for 3 days. You plan to stay in Rome for 4 days. During day 9 and day 12, you have to attend a conference in Rome. You want to spend 5 days in Bucharest. You would like to visit Naples for 2 days. You want to meet a friend in Naples between day 2 and day 3.\n\nHere are the cities that have direct flights:\nSantorini and Bucharest, Rome and Oslo, Naples and Rome, from Santorini to Oslo, Lyon and Rome, Bucharest and Rome, Santorini and Naples, Bucharest and Lyon, Bucharest and Oslo, Naples and Bucharest, Lyon and Oslo, Santorini and Rome, Naples and Oslo.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 12 and day 13. You plan to stay in Lyon for 3 days. You plan to stay in Rome for 4 days. During day 9 and day 12, you have to attend a conference in Rome. You want to spend 5 days in Bucharest. You would like to visit Naples for 2 days. You want to meet a friend in Naples between day 2 and day 3.\n\nHere are the cities that have direct flights:\nfrom Santorini to Bucharest, from Rome to Oslo, from Naples to Rome, from Santorini to Oslo, from Lyon to Rome, from Bucharest to Rome, from Santorini to Naples, from Bucharest to Lyon, from Bucharest to Oslo, from Naples to Bucharest, from Lyon to Oslo, from Santorini to Rome, from Naples to Oslo.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Naples.\n**Day 2-3:** Visit Naples for 2 days.\n**Day 3:** Fly from Naples to Bucharest.\n**Day 3-7:** Visit Bucharest for 5 days.\n**Day 7:** Fly from Bucharest to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Rome.\n**Day 9-12:** Visit Rome for 4 days.\n**Day 12:** Fly from Rome to Oslo.\n**Day 12-13:** Visit Oslo for 2 days.",
    "id": "trip_planning_example_605",
    "estimated_output_tokens": 1575,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Bucharest, Duration: 5 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 2 - 3.\n* City: Rome, Fixed Schedule: Day 9 - 12.\n* City: Oslo, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Lyon, Bucharest] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 2 - 3).\n |- The departure day of Santorini is Day 2. The arrival day of Naples is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 9 - 12).\n   |- The departure day of Naples is Day 3. The arrival day of Rome is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Santorini, Naples].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Naples to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Naples to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 9 - 12).\n     |- The departure day of Bucharest is Day 7. The arrival day of Rome is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Naples, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 9 - 12).\n       |- The departure day of Lyon is Day 9. The arrival day of Rome is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Naples, Bucharest, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lyon to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 12 - 13).\n         |- The departure day of Rome is Day 12. The arrival day of Oslo is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Naples, Bucharest, Lyon, Rome].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Rome to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Naples, Bucharest, Lyon, Rome, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Naples.\n**Day 2-3:** Visit Naples for 2 days.\n**Day 3:** Fly from Naples to Bucharest.\n**Day 3-7:** Visit Bucharest for 5 days.\n**Day 7:** Fly from Bucharest to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Rome.\n**Day 9-12:** Visit Rome for 4 days.\n**Day 12:** Fly from Rome to Oslo.\n**Day 12-13:** Visit Oslo for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Stockholm**London**Valencia**Naples**Oslo",
    "ground_truth_durations": "3**4**3**3**4**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "London"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Valencia",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stockholm. During day 3 and day 6, you have to attend a conference in Stockholm. You plan to stay in Naples for 4 days. You plan to stay in London for 3 days. You would like to visit Valencia for 3 days. You have to attend a workshop in Valencia between day 8 and day 10. You plan to stay in Oslo for 3 days. You would like to visit Madrid for 3 days. From day 1 to day 3, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nStockholm and London, Madrid and Naples, Madrid and Stockholm, London and Naples, Madrid and Valencia, London and Valencia, London and Oslo, Madrid and Oslo, Naples and Oslo, Madrid and London, Stockholm and Oslo, Valencia and Naples.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stockholm. During day 3 and day 6, you have to attend a conference in Stockholm. You plan to stay in Naples for 4 days. You plan to stay in London for 3 days. You would like to visit Valencia for 3 days. You have to attend a workshop in Valencia between day 8 and day 10. You plan to stay in Oslo for 3 days. You would like to visit Madrid for 3 days. From day 1 to day 3, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nfrom Stockholm to London, from Madrid to Naples, from Madrid to Stockholm, from London to Naples, from Madrid to Valencia, from London to Valencia, from London to Oslo, from Madrid to Oslo, from Naples to Oslo, from Madrid to London, from Stockholm to Oslo, from Valencia to Naples.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to London.\n**Day 6-8:** Visit London for 3 days.\n**Day 8:** Fly from London to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.",
    "id": "trip_planning_example_606",
    "estimated_output_tokens": 1465,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Naples, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Oslo, Duration: 3 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 3.\n* City: Stockholm, Fixed Schedule: Day 3 - 6.\n* City: Valencia, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Naples, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 6).\n |- The departure day of Madrid is Day 3. The arrival day of Stockholm is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Madrid to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 8 - 10).\n   |- The departure day of Stockholm is Day 6. The arrival day of Valencia is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, London, Oslo] and explore these options in order.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 10).\n     |- The departure day of London is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Stockholm, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Madrid, Stockholm, London, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Oslo] and explore these options in order.\n         |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Valencia to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Madrid, Stockholm, London, Valencia, Naples].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Naples to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Madrid, Stockholm, London, Valencia, Naples, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to London.\n**Day 6-8:** Visit London for 3 days.\n**Day 8:** Fly from London to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Athens**Santorini**Venice**Helsinki**Krakow",
    "ground_truth_durations": "5**5**3**3**4**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 16,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Santorini",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You want to spend 4 days in Helsinki. You would like to visit Santorini for 3 days. You would like to visit Nice for 5 days. During day 1 and day 5, you have to attend a conference in Nice. You want to spend 5 days in Athens. You are going to attend a wedding in Athens between day 5 and day 9. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 16 and day 19.\n\nHere are the cities that have direct flights:\nHelsinki and Krakow, Nice and Venice, Athens and Venice, Nice and Helsinki, Nice and Athens, Athens and Santorini, Venice and Helsinki, Santorini and Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You want to spend 4 days in Helsinki. You would like to visit Santorini for 3 days. You would like to visit Nice for 5 days. During day 1 and day 5, you have to attend a conference in Nice. You want to spend 5 days in Athens. You are going to attend a wedding in Athens between day 5 and day 9. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 16 and day 19.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Krakow, from Nice to Venice, from Athens to Venice, from Nice to Helsinki, from Nice to Athens, from Athens to Santorini, from Venice to Helsinki, from Santorini to Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Venice.\n**Day 11-13:** Visit Venice for 3 days.\n**Day 13:** Fly from Venice to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Krakow.\n**Day 16-19:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_607",
    "estimated_output_tokens": 2098,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 9).\n |- The departure day of Nice is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 16 - 19).\n   |- The departure day of Athens is Day 9. The arrival day of Krakow is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, Athens].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Athens to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 16 - 19).\n     |- The departure day of Venice is Day 11. The arrival day of Krakow is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Athens, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Venice to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 16 - 19).\n       |- The departure day of Helsinki is Day 14. The arrival day of Krakow is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Nice, Athens, Venice, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Helsinki to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Venice to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Athens to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 16 - 19).\n     |- The departure day of Santorini is Day 11. The arrival day of Krakow is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Athens, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki] and explore these options in order.\n       |- Try arranging to visit Venice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 16 - 19).\n       |- The departure day of Venice is Day 13. The arrival day of Krakow is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Athens, Santorini, Venice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Venice to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 16 - 19).\n         |- The departure day of Helsinki is Day 16. The arrival day of Krakow is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Nice, Athens, Santorini, Venice, Helsinki].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Helsinki to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Nice, Athens, Santorini, Venice, Helsinki, Krakow].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Venice.\n**Day 11-13:** Visit Venice for 3 days.\n**Day 13:** Fly from Venice to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Krakow.\n**Day 16-19:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vienna**Budapest**Copenhagen**Porto**Valencia",
    "ground_truth_durations": "2**4**4**3**4**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Valencia"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Copenhagen",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. During day 8 and day 10, you have to attend a conference in Copenhagen. You want to spend 4 days in Vienna. You would like to visit Budapest for 4 days. You want to meet a friend in Budapest between day 5 and day 8. You plan to stay in Riga for 2 days. You want to spend 4 days in Porto. You plan to stay in Valencia for 2 days. From day 13 to day 14, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nPorto and Valencia, Riga and Copenhagen, Vienna and Valencia, Riga and Vienna, Vienna and Budapest, Copenhagen and Valencia, Vienna and Copenhagen, Budapest and Copenhagen, Vienna and Porto, Copenhagen and Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. During day 8 and day 10, you have to attend a conference in Copenhagen. You want to spend 4 days in Vienna. You would like to visit Budapest for 4 days. You want to meet a friend in Budapest between day 5 and day 8. You plan to stay in Riga for 2 days. You want to spend 4 days in Porto. You plan to stay in Valencia for 2 days. From day 13 to day 14, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Porto to Valencia, from Riga to Copenhagen, from Vienna to Valencia, from Riga to Vienna, from Vienna to Budapest, from Copenhagen to Valencia, from Vienna to Copenhagen, from Budapest to Copenhagen, from Vienna to Porto, from Copenhagen to Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Vienna.\n**Day 2-5:** Visit Vienna for 4 days.\n**Day 5:** Fly from Vienna to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Porto.\n**Day 10-13:** Visit Porto for 4 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_608",
    "estimated_output_tokens": 1861,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Vienna, Duration: 4 days.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Riga, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 5 - 8.\n* City: Copenhagen, Fixed Schedule: Day 8 - 10.\n* City: Valencia, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Riga, Porto] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 8).\n |- The departure day of Vienna is Day 4. The arrival day of Budapest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Porto] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vienna to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vienna to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 5 - 8).\n   |- The departure day of Porto is Day 7. The arrival day of Budapest is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 8).\n |- The departure day of Riga is Day 2. The arrival day of Budapest is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Porto] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 5 - 8).\n   |- The departure day of Vienna is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 8 - 10).\n     |- The departure day of Budapest is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Vienna, Budapest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Budapest to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 13 - 14).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Vienna, Budapest, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Copenhagen to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 13 - 14).\n         |- The departure day of Porto is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Riga, Vienna, Budapest, Copenhagen, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Riga, Vienna, Budapest, Copenhagen, Porto, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Vienna.\n**Day 2-5:** Visit Vienna for 4 days.\n**Day 5:** Fly from Vienna to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Porto.\n**Day 10-13:** Visit Porto for 4 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Oslo**Nice**Riga**Hamburg**Salzburg",
    "ground_truth_durations": "2**3**5**4**4**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You would like to visit Riga for 4 days. You want to spend 3 days in Oslo. From day 2 to day 4, there is a annual show you want to attend in Oslo. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 4 and day 8 to tour together. You want to spend 2 days in Santorini. You would like to visit Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Hamburg, Nice and Hamburg, Nice and Riga, Hamburg and Salzburg, Oslo and Nice, from Riga to Hamburg, from Santorini to Oslo, Oslo and Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You would like to visit Riga for 4 days. You want to spend 3 days in Oslo. From day 2 to day 4, there is a annual show you want to attend in Oslo. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 4 and day 8 to tour together. You want to spend 2 days in Santorini. You would like to visit Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Hamburg, from Nice to Hamburg, from Nice to Riga, from Hamburg to Salzburg, from Oslo to Nice, from Riga to Hamburg, from Santorini to Oslo, from Oslo to Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-17:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_609",
    "estimated_output_tokens": 2101,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Santorini, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 2 - 4.\n* City: Nice, Fixed Schedule: Day 4 - 8.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Riga, Santorini, Salzburg] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Hamburg is Day 4. The arrival day of Oslo is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Riga is Day 4. The arrival day of Oslo is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Santorini is Day 2. The arrival day of Oslo is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 4 - 8).\n   |- The departure day of Oslo is Day 4. The arrival day of Nice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Oslo to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Oslo, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Riga, Salzburg] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Nice to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Oslo, Nice, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Salzburg] and explore these options in order.\n         |- Try arranging to visit Riga from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Hamburg to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Hamburg to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Oslo, Nice, Hamburg, Salzburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Salzburg to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Nice to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Oslo, Nice, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Riga to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Oslo, Nice, Riga, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Hamburg to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Santorini, Oslo, Nice, Riga, Hamburg, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-17:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Manchester**Split**Vilnius**Istanbul**Salzburg",
    "ground_truth_durations": "4**3**3**4**5**3",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 15,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Split"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Nice",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You plan to stay in Manchester for 3 days. You want to meet a friend in Manchester between day 4 and day 6. You would like to visit Vilnius for 4 days. You plan to stay in Split for 3 days. You have to attend a workshop in Split between day 6 and day 8. You would like to visit Nice for 4 days. You would like to visit Salzburg for 3 days. You would like to meet your friends at Salzburg between day 15 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, Vilnius and Istanbul, Nice and Manchester, Manchester and Istanbul, Istanbul and Salzburg, Split and Vilnius, Nice and Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You plan to stay in Manchester for 3 days. You want to meet a friend in Manchester between day 4 and day 6. You would like to visit Vilnius for 4 days. You plan to stay in Split for 3 days. You have to attend a workshop in Split between day 6 and day 8. You would like to visit Nice for 4 days. You would like to visit Salzburg for 3 days. You would like to meet your friends at Salzburg between day 15 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, from Vilnius to Istanbul, from Nice to Manchester, from Manchester to Istanbul, from Istanbul to Salzburg, from Split to Vilnius, from Nice to Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Istanbul.\n**Day 11-15:** Visit Istanbul for 5 days.\n**Day 15:** Fly from Istanbul to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_610",
    "estimated_output_tokens": 1933,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Vilnius, Duration: 4 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Nice, Duration: 4 days.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 4 - 6.\n* City: Split, Fixed Schedule: Day 6 - 8.\n* City: Salzburg, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Vilnius, Nice] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Istanbul is Day 5. The arrival day of Manchester is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Vilnius is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Nice is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Nice to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 6 - 8).\n   |- The departure day of Manchester is Day 6. The arrival day of Split is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Split.\n     |- Try arranging to visit Split from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Salzburg (Day 15 - 17).\n     |- The departure day of Split is Day 8. The arrival day of Salzburg is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Manchester, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Split to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Split to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Salzburg (Day 15 - 17).\n       |- The departure day of Vilnius is Day 11. The arrival day of Salzburg is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Manchester, Split, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vilnius to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 15 - 17).\n         |- The departure day of Istanbul is Day 15. The arrival day of Salzburg is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Nice, Manchester, Split, Vilnius, Istanbul].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Salzburg.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Istanbul to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Nice, Manchester, Split, Vilnius, Istanbul, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Split.\n**Day 6-8:** Visit Split for 3 days.\n**Day 8:** Fly from Split to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Istanbul.\n**Day 11-15:** Visit Istanbul for 5 days.\n**Day 15:** Fly from Istanbul to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**London**Bucharest**Riga**Hamburg**Split",
    "ground_truth_durations": "3**3**3**5**4**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Split"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "London",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You want to meet a friend in Split between day 14 and day 16. You plan to stay in Riga for 5 days. You would like to visit London for 3 days. You would like to visit Stuttgart for 3 days. You would like to visit Hamburg for 4 days. You would like to meet your friends at Hamburg between day 11 and day 14 to tour together. You would like to visit Bucharest for 3 days. From day 5 to day 7, there is a annual show you want to attend in Bucharest.\n\nHere are the cities that have direct flights:\nHamburg and Split, Stuttgart and Hamburg, from Riga to Hamburg, London and Bucharest, Stuttgart and London, London and Split, Bucharest and Hamburg, Stuttgart and Split, Bucharest and Riga, London and Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You want to meet a friend in Split between day 14 and day 16. You plan to stay in Riga for 5 days. You would like to visit London for 3 days. You would like to visit Stuttgart for 3 days. You would like to visit Hamburg for 4 days. You would like to meet your friends at Hamburg between day 11 and day 14 to tour together. You would like to visit Bucharest for 3 days. From day 5 to day 7, there is a annual show you want to attend in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Split, from Stuttgart to Hamburg, from Riga to Hamburg, from London to Bucharest, from Stuttgart to London, from London to Split, from Bucharest to Hamburg, from Stuttgart to Split, from Bucharest to Riga, from London to Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.",
    "id": "trip_planning_example_611",
    "estimated_output_tokens": 2116,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Riga, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Hamburg, Fixed Schedule: Day 11 - 14.\n* City: Split, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, London, Stuttgart] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Riga is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Riga to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of London is Day 3. The arrival day of Bucharest is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Stuttgart is Day 3. The arrival day of Bucharest is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, London] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 5 - 7).\n   |- The departure day of London is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from London to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 11 - 14).\n     |- The departure day of Bucharest is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, London, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n       |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 14).\n       |- The departure day of Riga is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, London, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Riga to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 14 - 16).\n         |- The departure day of Hamburg is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stuttgart, London, Bucharest, Riga, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n           |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Hamburg to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Stuttgart, London, Bucharest, Riga, Hamburg, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Dubrovnik**Oslo**Tallinn**Berlin**Nice",
    "ground_truth_durations": "2**3**2**4**4**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Oslo",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 2 days. You are going to attend a wedding in Frankfurt between day 1 and day 2. You plan to stay in Nice for 3 days. You plan to visit relatives in Nice between day 11 and day 13. You would like to visit Dubrovnik for 3 days. You plan to stay in Oslo for 2 days. You want to spend 4 days in Tallinn. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nFrankfurt and Oslo, Oslo and Berlin, Frankfurt and Dubrovnik, Frankfurt and Berlin, Tallinn and Berlin, Dubrovnik and Oslo, Oslo and Nice, Frankfurt and Nice, Frankfurt and Tallinn, Berlin and Nice, Oslo and Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 2 days. You are going to attend a wedding in Frankfurt between day 1 and day 2. You plan to stay in Nice for 3 days. You plan to visit relatives in Nice between day 11 and day 13. You would like to visit Dubrovnik for 3 days. You plan to stay in Oslo for 2 days. You want to spend 4 days in Tallinn. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Oslo, from Oslo to Berlin, from Frankfurt to Dubrovnik, from Frankfurt to Berlin, from Tallinn to Berlin, from Dubrovnik to Oslo, from Oslo to Nice, from Frankfurt to Nice, from Frankfurt to Tallinn, from Berlin to Nice, from Oslo to Tallinn.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Tallinn.\n**Day 5-8:** Visit Tallinn for 4 days.\n**Day 8:** Fly from Tallinn to Berlin.\n**Day 8-11:** Visit Berlin for 4 days.\n**Day 11:** Fly from Berlin to Nice.\n**Day 11-13:** Visit Nice for 3 days.",
    "id": "trip_planning_example_612",
    "estimated_output_tokens": 1527,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 2.\n* City: Nice, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 11 - 13).\n |- The departure day of Frankfurt is Day 2. The arrival day of Nice is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo, Tallinn, Berlin] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 11 - 13).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Nice is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 11 - 13).\n     |- The departure day of Oslo is Day 5. The arrival day of Nice is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Frankfurt, Dubrovnik, Oslo].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Oslo to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 11 - 13).\n       |- The departure day of Tallinn is Day 8. The arrival day of Nice is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Frankfurt, Dubrovnik, Oslo, Tallinn].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Tallinn to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 11 - 13).\n         |- The departure day of Berlin is Day 11. The arrival day of Nice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Frankfurt, Dubrovnik, Oslo, Tallinn, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Berlin to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Frankfurt, Dubrovnik, Oslo, Tallinn, Berlin, Nice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Tallinn.\n**Day 5-8:** Visit Tallinn for 4 days.\n**Day 8:** Fly from Tallinn to Berlin.\n**Day 8-11:** Visit Berlin for 4 days.\n**Day 11:** Fly from Berlin to Nice.\n**Day 11-13:** Visit Nice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Krakow**Lisbon**Manchester**Frankfurt",
    "ground_truth_durations": "4**2**4**4**2**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Lisbon",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 4 days. You plan to stay in Split for 2 days. You plan to stay in Manchester for 2 days. You plan to visit relatives in Manchester between day 11 and day 12. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 12 and day 15. You would like to visit Krakow for 4 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nSplit and Frankfurt, Split and Krakow, Krakow and Manchester, from Manchester to Split, Manchester and Frankfurt, from Krakow to Vilnius, Lisbon and Frankfurt, Krakow and Frankfurt, Krakow and Lisbon, Vilnius and Frankfurt, Vilnius and Split, Lisbon and Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 4 days. You plan to stay in Split for 2 days. You plan to stay in Manchester for 2 days. You plan to visit relatives in Manchester between day 11 and day 12. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 12 and day 15. You would like to visit Krakow for 4 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Split to Frankfurt, from Split to Krakow, from Krakow to Manchester, from Manchester to Split, from Manchester to Frankfurt, from Krakow to Vilnius, from Lisbon to Frankfurt, from Krakow to Frankfurt, from Krakow to Lisbon, from Vilnius to Frankfurt, from Vilnius to Split, from Lisbon to Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Manchester.\n**Day 11-12:** Visit Manchester for 2 days.\n**Day 12:** Fly from Manchester to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_613",
    "estimated_output_tokens": 1532,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Krakow, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 11 - 12.\n* City: Frankfurt, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Split, Krakow, Lisbon] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 11 - 12).\n |- The departure day of Vilnius is Day 4. The arrival day of Manchester is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Krakow, Lisbon] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 11 - 12).\n   |- The departure day of Split is Day 5. The arrival day of Manchester is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Lisbon] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Split to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 11 - 12).\n     |- The departure day of Krakow is Day 8. The arrival day of Manchester is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Split, Krakow].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Krakow to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 11 - 12).\n       |- The departure day of Lisbon is Day 11. The arrival day of Manchester is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Split, Krakow, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Lisbon to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 12 - 15).\n         |- The departure day of Manchester is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Vilnius, Split, Krakow, Lisbon, Manchester].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Manchester to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vilnius, Split, Krakow, Lisbon, Manchester, Frankfurt].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Manchester.\n**Day 11-12:** Visit Manchester for 2 days.\n**Day 12:** Fly from Manchester to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Milan**Copenhagen**Riga**Vilnius**Brussels",
    "ground_truth_durations": "4**2**4**3**5**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Riga",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Milan. You are going to attend a wedding in Milan between day 4 and day 5. You plan to stay in Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 5 and day 8. You would like to visit Vilnius for 5 days. You have to attend a workshop in Vilnius between day 10 and day 14. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Copenhagen, Vilnius and Brussels, Copenhagen and Riga, Milan and Vilnius, Milan and Brussels, Edinburgh and Milan, Edinburgh and Riga, Edinburgh and Brussels, Milan and Copenhagen, Copenhagen and Brussels, from Riga to Vilnius, Copenhagen and Vilnius, Milan and Riga, Riga and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Milan. You are going to attend a wedding in Milan between day 4 and day 5. You plan to stay in Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 5 and day 8. You would like to visit Vilnius for 5 days. You have to attend a workshop in Vilnius between day 10 and day 14. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Copenhagen, from Vilnius to Brussels, from Copenhagen to Riga, from Milan to Vilnius, from Milan to Brussels, from Edinburgh to Milan, from Edinburgh to Riga, from Edinburgh to Brussels, from Milan to Copenhagen, from Copenhagen to Brussels, from Riga to Vilnius, from Copenhagen to Vilnius, from Milan to Riga, from Riga to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Milan.\n**Day 4-5:** Visit Milan for 2 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.\n**Day 14:** Fly from Vilnius to Brussels.\n**Day 14-16:** Visit Brussels for 3 days.",
    "id": "trip_planning_example_614",
    "estimated_output_tokens": 1860,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 4 - 5.\n* City: Copenhagen, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Brussels] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 5).\n |- The departure day of Riga is Day 3. The arrival day of Milan is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Brussels] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 5).\n   |- The departure day of Brussels is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 5).\n |- The departure day of Edinburgh is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 5 - 8).\n   |- The departure day of Milan is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 10 - 14).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Vilnius is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Milan, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Brussels] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 14).\n       |- The departure day of Riga is Day 10. The arrival day of Vilnius is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Edinburgh, Milan, Copenhagen, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Edinburgh, Milan, Copenhagen, Riga, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vilnius to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Edinburgh, Milan, Copenhagen, Riga, Vilnius, Brussels].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Milan.\n**Day 4-5:** Visit Milan for 2 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.\n**Day 14:** Fly from Vilnius to Brussels.\n**Day 14-16:** Visit Brussels for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Paris**London**Santorini**Amsterdam**Riga",
    "ground_truth_durations": "4**4**2**3**2**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Riga"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stockholm. From day 1 to day 4, there is a annual show you want to attend in Stockholm. You would like to visit Santorini for 3 days. You are going to attend a wedding in Santorini between day 8 and day 10. You would like to visit Amsterdam for 2 days. You would like to visit London for 2 days. You want to meet a friend in London between day 7 and day 8. You plan to stay in Riga for 2 days. You want to spend 4 days in Paris.\n\nHere are the cities that have direct flights:\nParis and Riga, Stockholm and Paris, London and Amsterdam, Stockholm and London, Amsterdam and Riga, from Stockholm to Santorini, Paris and London, London and Santorini, Santorini and Amsterdam, Stockholm and Amsterdam, Paris and Amsterdam, Stockholm and Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stockholm. From day 1 to day 4, there is a annual show you want to attend in Stockholm. You would like to visit Santorini for 3 days. You are going to attend a wedding in Santorini between day 8 and day 10. You would like to visit Amsterdam for 2 days. You would like to visit London for 2 days. You want to meet a friend in London between day 7 and day 8. You plan to stay in Riga for 2 days. You want to spend 4 days in Paris.\n\nHere are the cities that have direct flights:\nfrom Paris to Riga, from Stockholm to Paris, from London to Amsterdam, from Stockholm to London, from Amsterdam to Riga, from Stockholm to Santorini, from Paris to London, from London to Santorini, from Santorini to Amsterdam, from Stockholm to Amsterdam, from Paris to Amsterdam, from Stockholm to Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Riga.\n**Day 11-12:** Visit Riga for 2 days.",
    "id": "trip_planning_example_615",
    "estimated_output_tokens": 2272,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Amsterdam, Duration: 2 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Riga, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 4.\n* City: London, Fixed Schedule: Day 7 - 8.\n* City: Santorini, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 7 - 8).\n |- The departure day of Stockholm is Day 4. The arrival day of London is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Riga, Paris] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 7 - 8).\n   |- The departure day of Amsterdam is Day 5. The arrival day of London is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Paris] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 7 - 8).\n     |- The departure day of Riga is Day 6. The arrival day of London is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stockholm, Amsterdam, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n       |- Try arranging to visit Paris from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Riga to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 7 - 8).\n   |- The departure day of Riga is Day 5. The arrival day of London is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Paris] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Riga to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 7 - 8).\n   |- The departure day of Paris is Day 7. The arrival day of London is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: London.\n     |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 8 - 10).\n     |- The departure day of London is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stockholm, Paris, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Paris, London, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Riga] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Stockholm, Paris, London, Santorini, Amsterdam].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Amsterdam to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Stockholm, Paris, London, Santorini, Amsterdam, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Dubrovnik**Munich**Valencia**Berlin**Vilnius",
    "ground_truth_durations": "4**4**2**5**3**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You plan to stay in Vilnius for 2 days. You would like to visit Copenhagen for 4 days. You would like to meet your friends at Copenhagen between day 1 and day 4 to tour together. You would like to visit Valencia for 5 days. You would like to visit Dubrovnik for 4 days. During day 4 and day 7, you have to attend a conference in Dubrovnik. You plan to stay in Munich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Copenhagen and Dubrovnik, Munich and Berlin, Valencia and Berlin, Berlin and Vilnius, Copenhagen and Vilnius, Copenhagen and Valencia, Dubrovnik and Munich, Copenhagen and Munich, Munich and Valencia, Copenhagen and Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You plan to stay in Vilnius for 2 days. You would like to visit Copenhagen for 4 days. You would like to meet your friends at Copenhagen between day 1 and day 4 to tour together. You would like to visit Valencia for 5 days. You would like to visit Dubrovnik for 4 days. During day 4 and day 7, you have to attend a conference in Dubrovnik. You plan to stay in Munich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Copenhagen to Dubrovnik, from Munich to Berlin, from Valencia to Berlin, from Berlin to Vilnius, from Copenhagen to Vilnius, from Copenhagen to Valencia, from Dubrovnik to Munich, from Copenhagen to Munich, from Munich to Valencia, from Copenhagen to Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Munich.\n**Day 7-8:** Visit Munich for 2 days.\n**Day 8:** Fly from Munich to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Berlin.\n**Day 12-14:** Visit Berlin for 3 days.\n**Day 14:** Fly from Berlin to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_616",
    "estimated_output_tokens": 2047,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Munich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 7).\n |- The departure day of Copenhagen is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Copenhagen to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Vilnius, Valencia, Munich] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Dubrovnik to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dubrovnik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dubrovnik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dubrovnik to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Dubrovnik, Munich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Vilnius, Valencia] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Munich to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Dubrovnik, Munich, Berlin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Berlin to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Copenhagen, Dubrovnik, Munich, Berlin, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Vilnius to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Berlin to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Munich to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Dubrovnik, Munich, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Vilnius] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Dubrovnik, Munich, Valencia, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Berlin to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Dubrovnik, Munich, Valencia, Berlin, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Munich.\n**Day 7-8:** Visit Munich for 2 days.\n**Day 8:** Fly from Munich to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Berlin.\n**Day 12-14:** Visit Berlin for 3 days.\n**Day 14:** Fly from Berlin to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Istanbul**Munich**Bucharest**Amsterdam**Vilnius",
    "ground_truth_durations": "4**4**4**3**5**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Oslo",
        "Munich"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 5 days. You want to spend 4 days in Oslo. You want to meet a friend in Oslo between day 1 and day 4. You would like to visit Bucharest for 3 days. You plan to stay in Vilnius for 4 days. You would like to visit Istanbul for 4 days. You are going to attend a wedding in Istanbul between day 4 and day 7. You would like to visit Munich for 4 days. During day 7 and day 10, you have to attend a conference in Munich.\n\nHere are the cities that have direct flights:\nIstanbul and Vilnius, Oslo and Vilnius, Istanbul and Munich, Oslo and Amsterdam, Bucharest and Amsterdam, Munich and Bucharest, Oslo and Istanbul, Amsterdam and Vilnius, from Vilnius to Munich, Munich and Amsterdam, Istanbul and Bucharest, Oslo and Munich, Oslo and Bucharest, Istanbul and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 5 days. You want to spend 4 days in Oslo. You want to meet a friend in Oslo between day 1 and day 4. You would like to visit Bucharest for 3 days. You plan to stay in Vilnius for 4 days. You would like to visit Istanbul for 4 days. You are going to attend a wedding in Istanbul between day 4 and day 7. You would like to visit Munich for 4 days. During day 7 and day 10, you have to attend a conference in Munich.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Vilnius, from Oslo to Vilnius, from Istanbul to Munich, from Oslo to Amsterdam, from Bucharest to Amsterdam, from Munich to Bucharest, from Oslo to Istanbul, from Amsterdam to Vilnius, from Vilnius to Munich, from Munich to Amsterdam, from Istanbul to Bucharest, from Oslo to Munich, from Oslo to Bucharest, from Istanbul to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Bucharest.\n**Day 10-12:** Visit Bucharest for 3 days.\n**Day 12:** Fly from Bucharest to Amsterdam.\n**Day 12-16:** Visit Amsterdam for 5 days.\n**Day 16:** Fly from Amsterdam to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_617",
    "estimated_output_tokens": 1873,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 5 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 4 - 7.\n* City: Munich, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 7).\n |- The departure day of Oslo is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Oslo to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 7 - 10).\n   |- The departure day of Istanbul is Day 7. The arrival day of Munich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Oslo, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Oslo, Istanbul, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Vilnius] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Istanbul, Munich, Amsterdam].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Vilnius] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Amsterdam to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Amsterdam to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Oslo, Istanbul, Munich, Amsterdam, Vilnius].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Vilnius to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Oslo, Istanbul, Munich, Bucharest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Bucharest to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Oslo, Istanbul, Munich, Bucharest, Amsterdam].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Amsterdam to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Oslo, Istanbul, Munich, Bucharest, Amsterdam, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Bucharest.\n**Day 10-12:** Visit Bucharest for 3 days.\n**Day 12:** Fly from Bucharest to Amsterdam.\n**Day 12-16:** Visit Amsterdam for 5 days.\n**Day 16:** Fly from Amsterdam to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Hamburg**Athens**Vilnius**Paris**Lyon",
    "ground_truth_durations": "5**2**4**5**2**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Paris"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Milan",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. From day 9 to day 13, there is a annual show you want to attend in Vilnius. You would like to visit Hamburg for 2 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Paris. During day 13 and day 14, you have to attend a conference in Paris. You want to spend 4 days in Athens. You would like to visit Milan for 5 days. You have to attend a workshop in Milan between day 1 and day 5.\n\nHere are the cities that have direct flights:\nMilan and Paris, Hamburg and Athens, Athens and Vilnius, Milan and Athens, Vilnius and Paris, Milan and Hamburg, Athens and Paris, Paris and Lyon, Hamburg and Paris, Milan and Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. From day 9 to day 13, there is a annual show you want to attend in Vilnius. You would like to visit Hamburg for 2 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Paris. During day 13 and day 14, you have to attend a conference in Paris. You want to spend 4 days in Athens. You would like to visit Milan for 5 days. You have to attend a workshop in Milan between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Milan to Paris, from Hamburg to Athens, from Athens to Vilnius, from Milan to Athens, from Vilnius to Paris, from Milan to Hamburg, from Athens to Paris, from Paris to Lyon, from Hamburg to Paris, from Milan to Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Hamburg.\n**Day 5-6:** Visit Hamburg for 2 days.\n**Day 6:** Fly from Hamburg to Athens.\n**Day 6-9:** Visit Athens for 4 days.\n**Day 9:** Fly from Athens to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_618",
    "estimated_output_tokens": 1537,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Athens, Duration: 4 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 9 - 13.\n* City: Paris, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 13).\n |- The departure day of Milan is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Athens] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 13).\n   |- The departure day of Hamburg is Day 6. The arrival day of Vilnius is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Hamburg].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Athens] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Hamburg to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Hamburg to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 9 - 13).\n     |- The departure day of Athens is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Hamburg, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Athens to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 13 - 14).\n       |- The departure day of Vilnius is Day 13. The arrival day of Paris is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Milan, Hamburg, Athens, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vilnius to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Hamburg, Athens, Vilnius, Paris].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Paris to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, Hamburg, Athens, Vilnius, Paris, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Hamburg.\n**Day 5-6:** Visit Hamburg for 2 days.\n**Day 6:** Fly from Hamburg to Athens.\n**Day 6-9:** Visit Athens for 4 days.\n**Day 9:** Fly from Athens to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Istanbul**Amsterdam**Stuttgart**Frankfurt**Split",
    "ground_truth_durations": "4**4**5**5**5**4",
    "num_cities": 6,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Munich",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You plan to stay in Split for 4 days. You plan to stay in Stuttgart for 5 days. From day 11 to day 15, there is a annual show you want to attend in Stuttgart. You plan to stay in Frankfurt for 5 days. You want to meet a friend in Frankfurt between day 15 and day 19. You plan to stay in Amsterdam for 5 days. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 4 and day 7.\n\nHere are the cities that have direct flights:\nAmsterdam and Stuttgart, Istanbul and Amsterdam, Stuttgart and Frankfurt, Frankfurt and Split, Munich and Istanbul, Munich and Frankfurt, Stuttgart and Split, Munich and Amsterdam, Amsterdam and Frankfurt, Istanbul and Stuttgart, Amsterdam and Split, Istanbul and Frankfurt, Munich and Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You plan to stay in Split for 4 days. You plan to stay in Stuttgart for 5 days. From day 11 to day 15, there is a annual show you want to attend in Stuttgart. You plan to stay in Frankfurt for 5 days. You want to meet a friend in Frankfurt between day 15 and day 19. You plan to stay in Amsterdam for 5 days. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 4 and day 7.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Stuttgart, from Istanbul to Amsterdam, from Stuttgart to Frankfurt, from Frankfurt to Split, from Munich to Istanbul, from Munich to Frankfurt, from Stuttgart to Split, from Munich to Amsterdam, from Amsterdam to Frankfurt, from Istanbul to Stuttgart, from Amsterdam to Split, from Istanbul to Frankfurt, from Munich to Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 22 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n**Day 15:** Fly from Stuttgart to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Split.\n**Day 19-22:** Visit Split for 4 days.",
    "id": "trip_planning_example_619",
    "estimated_output_tokens": 1504,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Amsterdam, Duration: 5 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 4 - 7.\n* City: Stuttgart, Fixed Schedule: Day 11 - 15.\n* City: Frankfurt, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Split, Amsterdam] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 7).\n |- The departure day of Munich is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 11 - 15).\n   |- The departure day of Istanbul is Day 7. The arrival day of Stuttgart is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Istanbul to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 11 - 15).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Munich, Istanbul, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Amsterdam to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 15 - 19).\n       |- The departure day of Stuttgart is Day 15. The arrival day of Frankfurt is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Munich, Istanbul, Amsterdam, Stuttgart].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Stuttgart to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Munich, Istanbul, Amsterdam, Stuttgart, Frankfurt].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Frankfurt to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Munich, Istanbul, Amsterdam, Stuttgart, Frankfurt, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n**Day 15:** Fly from Stuttgart to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Split.\n**Day 19-22:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Reykjavik**Berlin**Riga**Stockholm**Santorini",
    "ground_truth_durations": "5**2**4**2**4**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Munich",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 4 days. You would like to visit Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 5 and day 6. You plan to stay in Munich for 5 days. You plan to stay in Riga for 2 days. You would like to visit Santorini for 3 days. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nReykjavik and Berlin, Munich and Reykjavik, from Riga to Munich, from Stockholm to Santorini, Riga and Stockholm, Reykjavik and Stockholm, Munich and Stockholm, Berlin and Riga, Berlin and Stockholm, Munich and Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 4 days. You would like to visit Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 5 and day 6. You plan to stay in Munich for 5 days. You plan to stay in Riga for 2 days. You would like to visit Santorini for 3 days. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Berlin, from Munich to Reykjavik, from Riga to Munich, from Stockholm to Santorini, from Riga to Stockholm, from Reykjavik to Stockholm, from Munich to Stockholm, from Berlin to Riga, from Berlin to Stockholm, from Munich to Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Stockholm.\n**Day 10-13:** Visit Stockholm for 4 days.\n**Day 13:** Fly from Stockholm to Santorini.\n**Day 13-15:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_620",
    "estimated_output_tokens": 3041,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Munich, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 4 days.\n* City: Munich, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Munich, Riga, Santorini, Berlin] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Stockholm is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Riga, Santorini, Berlin] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Santorini is Day 6. The arrival day of Reykjavik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Munich is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Riga, Santorini, Berlin] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Reykjavik, Stockholm].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Santorini, Berlin] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Stockholm to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Reykjavik, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Berlin] and explore these options in order.\n         |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Santorini to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Berlin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Stockholm to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Reykjavik, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Riga, Santorini] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Munich, Reykjavik, Berlin, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Santorini] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Stockholm to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Stockholm to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Munich, Reykjavik, Berlin, Stockholm, Santorini].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Santorini to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Berlin to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Reykjavik, Berlin, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Riga to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Reykjavik, Berlin, Riga, Stockholm].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Reykjavik, Berlin, Riga, Stockholm, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Stockholm.\n**Day 10-13:** Visit Stockholm for 4 days.\n**Day 13:** Fly from Stockholm to Santorini.\n**Day 13-15:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Riga**Vilnius**Milan**Barcelona**Venice",
    "ground_truth_durations": "4**3**2**4**5**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 14,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Milan",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 4 days. You would like to visit Riga for 3 days. You would like to visit Vilnius for 2 days. You would like to visit Milan for 4 days. From day 7 to day 10, there is a annual show you want to attend in Milan. You plan to stay in Barcelona for 5 days. You want to spend 3 days in Venice. You would like to meet your friends at Venice between day 14 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nBarcelona and Venice, from Riga to Vilnius, Stockholm and Riga, Vilnius and Milan, Riga and Milan, Stockholm and Barcelona, Stockholm and Milan, Riga and Barcelona, Milan and Barcelona.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 4 days. You would like to visit Riga for 3 days. You would like to visit Vilnius for 2 days. You would like to visit Milan for 4 days. From day 7 to day 10, there is a annual show you want to attend in Milan. You plan to stay in Barcelona for 5 days. You want to spend 3 days in Venice. You would like to meet your friends at Venice between day 14 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Venice, from Riga to Vilnius, from Stockholm to Riga, from Vilnius to Milan, from Riga to Milan, from Stockholm to Barcelona, from Stockholm to Milan, from Riga to Barcelona, from Milan to Barcelona.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Barcelona.\n**Day 10-14:** Visit Barcelona for 5 days.\n**Day 14:** Fly from Barcelona to Venice.\n**Day 14-16:** Visit Venice for 3 days.",
    "id": "trip_planning_example_621",
    "estimated_output_tokens": 1531,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Barcelona, Duration: 5 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 7 - 10.\n* City: Venice, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Barcelona, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Riga, Vilnius, Barcelona] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 10).\n |- The departure day of Stockholm is Day 4. The arrival day of Milan is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius, Barcelona] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 7 - 10).\n   |- The departure day of Riga is Day 6. The arrival day of Milan is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Riga to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 7 - 10).\n     |- The departure day of Vilnius is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Riga, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 14 - 16).\n       |- The departure day of Milan is Day 10. The arrival day of Venice is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Riga, Vilnius, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Milan to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 16).\n         |- The departure day of Barcelona is Day 14. The arrival day of Venice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stockholm, Riga, Vilnius, Milan, Barcelona].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Barcelona to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Stockholm, Riga, Vilnius, Milan, Barcelona, Venice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Barcelona.\n**Day 10-14:** Visit Barcelona for 5 days.\n**Day 14:** Fly from Barcelona to Venice.\n**Day 14-16:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Helsinki**Warsaw**Amsterdam**Santorini**Manchester",
    "ground_truth_durations": "5**2**5**2**4**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You plan to stay in Santorini for 4 days. You want to spend 5 days in Warsaw. You would like to visit Dublin for 5 days. From day 1 to day 5, there is a annual show you want to attend in Dublin. You want to spend 2 days in Manchester. You are going to attend a wedding in Manchester between day 14 and day 15. You plan to stay in Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 10 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nWarsaw and Manchester, Dublin and Helsinki, Amsterdam and Santorini, Santorini and Manchester, Dublin and Amsterdam, Dublin and Manchester, Dublin and Santorini, Warsaw and Amsterdam, Helsinki and Manchester, Amsterdam and Manchester, Helsinki and Warsaw, Helsinki and Amsterdam.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You plan to stay in Santorini for 4 days. You want to spend 5 days in Warsaw. You would like to visit Dublin for 5 days. From day 1 to day 5, there is a annual show you want to attend in Dublin. You want to spend 2 days in Manchester. You are going to attend a wedding in Manchester between day 14 and day 15. You plan to stay in Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 10 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Manchester, from Dublin to Helsinki, from Amsterdam to Santorini, from Santorini to Manchester, from Dublin to Amsterdam, from Dublin to Manchester, from Dublin to Santorini, from Warsaw to Amsterdam, from Helsinki to Manchester, from Amsterdam to Manchester, from Helsinki to Warsaw, from Helsinki to Amsterdam.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.\n**Day 14:** Fly from Santorini to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_622",
    "estimated_output_tokens": 1565,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 10 - 11.\n* City: Manchester, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 10 - 11).\n |- The departure day of Dublin is Day 5. The arrival day of Amsterdam is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Warsaw] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dublin to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 10 - 11).\n   |- The departure day of Helsinki is Day 6. The arrival day of Amsterdam is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 10 - 11).\n     |- The departure day of Warsaw is Day 10. The arrival day of Amsterdam is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Helsinki, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Amsterdam.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Warsaw to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 15).\n       |- The departure day of Amsterdam is Day 11. The arrival day of Manchester is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dublin, Helsinki, Warsaw, Amsterdam].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 14 - 15).\n         |- The departure day of Santorini is Day 14. The arrival day of Manchester is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dublin, Helsinki, Warsaw, Amsterdam, Santorini].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Santorini to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dublin, Helsinki, Warsaw, Amsterdam, Santorini, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.\n**Day 14:** Fly from Santorini to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Riga**Tallinn**Barcelona**Lyon**Oslo",
    "ground_truth_durations": "2**4**5**5**4**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Riga",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 5 days. You want to spend 2 days in Manchester. You want to spend 4 days in Oslo. During day 16 and day 19, you have to attend a conference in Oslo. You would like to visit Tallinn for 5 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 13 and day 16. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, Tallinn and Barcelona, Tallinn and Oslo, Manchester and Barcelona, Lyon and Oslo, Barcelona and Lyon, Riga and Oslo, Manchester and Riga, Manchester and Oslo, Barcelona and Oslo, Riga and Barcelona.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 5 days. You want to spend 2 days in Manchester. You want to spend 4 days in Oslo. During day 16 and day 19, you have to attend a conference in Oslo. You would like to visit Tallinn for 5 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 13 and day 16. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, from Tallinn to Barcelona, from Tallinn to Oslo, from Manchester to Barcelona, from Lyon to Oslo, from Barcelona to Lyon, from Riga to Oslo, from Manchester to Riga, from Manchester to Oslo, from Barcelona to Oslo, from Riga to Barcelona.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-13:** Visit Barcelona for 5 days.\n**Day 13:** Fly from Barcelona to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_623",
    "estimated_output_tokens": 2468,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Tallinn, Duration: 5 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 13 - 16.\n* City: Oslo, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Tallinn, Riga] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 13 - 16).\n |- The departure day of Barcelona is Day 5. The arrival day of Lyon is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Tallinn, Riga] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Barcelona to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Barcelona to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 13 - 16).\n |- The departure day of Manchester is Day 2. The arrival day of Lyon is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn, Riga] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 13 - 16).\n   |- The departure day of Barcelona is Day 6. The arrival day of Lyon is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Manchester to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 13 - 16).\n   |- The departure day of Riga is Day 5. The arrival day of Lyon is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Riga to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 13 - 16).\n     |- The departure day of Barcelona is Day 9. The arrival day of Lyon is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Riga, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Barcelona to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 13 - 16).\n     |- The departure day of Tallinn is Day 9. The arrival day of Lyon is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 13 - 16).\n       |- The departure day of Barcelona is Day 13. The arrival day of Lyon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Manchester, Riga, Tallinn, Barcelona].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Barcelona to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 16 - 19).\n         |- The departure day of Lyon is Day 16. The arrival day of Oslo is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Manchester, Riga, Tallinn, Barcelona, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Lyon to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Manchester, Riga, Tallinn, Barcelona, Lyon, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-13:** Visit Barcelona for 5 days.\n**Day 13:** Fly from Barcelona to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Paris**Dublin**Dubrovnik**Copenhagen**Naples",
    "ground_truth_durations": "5**3**3**5**3**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Dublin"
      ],
      [
        "Dublin",
        "Copenhagen"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Paris",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Paris. You are going to attend a wedding in Paris between day 5 and day 7. You want to spend 5 days in Prague. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 15 and day 19. You would like to visit Dubrovnik for 5 days. You plan to stay in Copenhagen for 3 days. From day 13 to day 15, there is a annual show you want to attend in Copenhagen. You want to spend 3 days in Dublin.\n\nHere are the cities that have direct flights:\nParis and Dublin, Dublin and Copenhagen, Prague and Dublin, Prague and Paris, Dublin and Dubrovnik, Paris and Naples, Copenhagen and Naples, Prague and Copenhagen, Dubrovnik and Naples, Dublin and Naples, Dubrovnik and Copenhagen, Paris and Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Paris. You are going to attend a wedding in Paris between day 5 and day 7. You want to spend 5 days in Prague. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 15 and day 19. You would like to visit Dubrovnik for 5 days. You plan to stay in Copenhagen for 3 days. From day 13 to day 15, there is a annual show you want to attend in Copenhagen. You want to spend 3 days in Dublin.\n\nHere are the cities that have direct flights:\nfrom Paris to Dublin, from Dublin to Copenhagen, from Prague to Dublin, from Prague to Paris, from Dublin to Dubrovnik, from Paris to Naples, from Copenhagen to Naples, from Prague to Copenhagen, from Dubrovnik to Naples, from Dublin to Naples, from Dubrovnik to Copenhagen, from Paris to Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Dublin.\n**Day 7-9:** Visit Dublin for 3 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Naples.\n**Day 15-19:** Visit Naples for 5 days.",
    "id": "trip_planning_example_624",
    "estimated_output_tokens": 1567,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Prague, Duration: 5 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Dubrovnik, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Fixed Schedule: Day 13 - 15.\n* City: Naples, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Dubrovnik, Dublin] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 7).\n |- The departure day of Prague is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Prague to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 13 - 15).\n   |- The departure day of Paris is Day 7. The arrival day of Copenhagen is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Dublin] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 13 - 15).\n     |- The departure day of Dublin is Day 9. The arrival day of Copenhagen is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Paris, Dublin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Dublin to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 13 - 15).\n       |- The departure day of Dubrovnik is Day 13. The arrival day of Copenhagen is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Prague, Paris, Dublin, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Dubrovnik to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Naples (Day 15 - 19).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Naples is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Prague, Paris, Dublin, Dubrovnik, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Copenhagen to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Prague, Paris, Dublin, Dubrovnik, Copenhagen, Naples].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Dublin.\n**Day 7-9:** Visit Dublin for 3 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Naples.\n**Day 15-19:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Geneva**London**Florence**Vienna**Vilnius",
    "ground_truth_durations": "5**4**3**2**4**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Vienna"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Hamburg",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 4 days. You plan to visit relatives in Vienna between day 11 and day 14. You would like to visit Florence for 2 days. You want to spend 5 days in Vilnius. You plan to stay in Geneva for 4 days. You plan to stay in Hamburg for 5 days. You want to spend 3 days in London. You have to attend a workshop in London between day 8 and day 10.\n\nHere are the cities that have direct flights:\nFlorence and Vienna, Geneva and Vienna, Hamburg and Vienna, Vienna and Vilnius, London and Vienna, Hamburg and London, London and Florence, Geneva and London, from Hamburg to Geneva.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 4 days. You plan to visit relatives in Vienna between day 11 and day 14. You would like to visit Florence for 2 days. You want to spend 5 days in Vilnius. You plan to stay in Geneva for 4 days. You plan to stay in Hamburg for 5 days. You want to spend 3 days in London. You have to attend a workshop in London between day 8 and day 10.\n\nHere are the cities that have direct flights:\nfrom Florence to Vienna, from Geneva to Vienna, from Hamburg to Vienna, from Vienna to Vilnius, from London to Vienna, from Hamburg to London, from London to Florence, from Geneva to London, from Hamburg to Geneva.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-11:** Visit Florence for 2 days.\n**Day 11:** Fly from Florence to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_625",
    "estimated_output_tokens": 2618,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Florence, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 8 - 10.\n* City: Vienna, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Vilnius, Geneva, Hamburg] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 8 - 10).\n |- The departure day of Florence is Day 2. The arrival day of London is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Hamburg] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 8 - 10).\n |- The departure day of Vilnius is Day 5. The arrival day of London is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Geneva, Hamburg] and explore these options in order.\n   |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 8 - 10).\n |- The departure day of Geneva is Day 4. The arrival day of London is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Vilnius, Hamburg] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 8 - 10).\n |- The departure day of Hamburg is Day 5. The arrival day of London is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Vilnius, Geneva] and explore these options in order.\n   |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 8 - 10).\n   |- The departure day of Geneva is Day 8. The arrival day of London is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: London.\n     |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Geneva to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vienna (Day 11 - 14).\n     |- The departure day of London is Day 10. The arrival day of Vienna is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Geneva, London].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Vilnius] and explore these options in order.\n       |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from London to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vienna (Day 11 - 14).\n       |- The departure day of Florence is Day 11. The arrival day of Vienna is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Geneva, London, Florence].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Florence to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Geneva, London, Florence, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Hamburg, Geneva, London, Florence, Vienna, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-11:** Visit Florence for 2 days.\n**Day 11:** Fly from Florence to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Venice**Copenhagen**Bucharest**Lyon",
    "ground_truth_durations": "2**4**5**5**4**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Venice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 9 and day 13 to tour together. You want to spend 4 days in Lyon. You have to attend a workshop in Lyon between day 16 and day 19. You want to spend 2 days in Salzburg. You plan to stay in Bucharest for 4 days. You want to spend 4 days in Frankfurt. You want to spend 5 days in Venice. You plan to visit relatives in Venice between day 5 and day 9.\n\nHere are the cities that have direct flights:\nBucharest and Lyon, Salzburg and Frankfurt, Copenhagen and Bucharest, Frankfurt and Copenhagen, Frankfurt and Lyon, Frankfurt and Bucharest, Venice and Lyon, Frankfurt and Venice, Venice and Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 9 and day 13 to tour together. You want to spend 4 days in Lyon. You have to attend a workshop in Lyon between day 16 and day 19. You want to spend 2 days in Salzburg. You plan to stay in Bucharest for 4 days. You want to spend 4 days in Frankfurt. You want to spend 5 days in Venice. You plan to visit relatives in Venice between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Lyon, from Salzburg to Frankfurt, from Copenhagen to Bucharest, from Frankfurt to Copenhagen, from Frankfurt to Lyon, from Frankfurt to Bucharest, from Venice to Lyon, from Frankfurt to Venice, from Venice to Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Frankfurt.\n**Day 2-5:** Visit Frankfurt for 4 days.\n**Day 5:** Fly from Frankfurt to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Lyon.\n**Day 16-19:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_626",
    "estimated_output_tokens": 1561,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Salzburg, Duration: 2 days.\n* City: Bucharest, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 9.\n* City: Copenhagen, Fixed Schedule: Day 9 - 13.\n* City: Lyon, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Bucharest, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Bucharest, Frankfurt] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 9).\n |- The departure day of Salzburg is Day 2. The arrival day of Venice is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 5 - 9).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 9 - 13).\n     |- The departure day of Venice is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Salzburg, Frankfurt, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 16 - 19).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Lyon is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Salzburg, Frankfurt, Venice, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Copenhagen to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 16 - 19).\n         |- The departure day of Bucharest is Day 16. The arrival day of Lyon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Salzburg, Frankfurt, Venice, Copenhagen, Bucharest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Salzburg, Frankfurt, Venice, Copenhagen, Bucharest, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Frankfurt.\n**Day 2-5:** Visit Frankfurt for 4 days.\n**Day 5:** Fly from Frankfurt to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Lyon.\n**Day 16-19:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Porto**Istanbul**Vilnius**Munich**Mykonos",
    "ground_truth_durations": "4**4**5**4**3**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Munich"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You want to spend 4 days in Porto. You plan to visit relatives in Porto between day 4 and day 7. You plan to stay in Istanbul for 5 days. You plan to stay in Mykonos for 4 days. You plan to stay in Frankfurt for 4 days. During day 1 and day 4, you have to attend a conference in Frankfurt. You want to spend 4 days in Vilnius. You are going to attend a wedding in Vilnius between day 11 and day 14.\n\nHere are the cities that have direct flights:\nPorto and Munich, Frankfurt and Porto, Porto and Istanbul, from Vilnius to Munich, Frankfurt and Istanbul, Frankfurt and Munich, Frankfurt and Vilnius, Istanbul and Vilnius, Istanbul and Munich, Munich and Mykonos.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You want to spend 4 days in Porto. You plan to visit relatives in Porto between day 4 and day 7. You plan to stay in Istanbul for 5 days. You plan to stay in Mykonos for 4 days. You plan to stay in Frankfurt for 4 days. During day 1 and day 4, you have to attend a conference in Frankfurt. You want to spend 4 days in Vilnius. You are going to attend a wedding in Vilnius between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Porto to Munich, from Frankfurt to Porto, from Porto to Istanbul, from Vilnius to Munich, from Frankfurt to Istanbul, from Frankfurt to Munich, from Frankfurt to Vilnius, from Istanbul to Vilnius, from Istanbul to Munich, from Munich to Mykonos.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Porto.\n**Day 4-7:** Visit Porto for 4 days.\n**Day 7:** Fly from Porto to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Mykonos.\n**Day 16-19:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_627",
    "estimated_output_tokens": 1854,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 3 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Istanbul, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 4.\n* City: Porto, Fixed Schedule: Day 4 - 7.\n* City: Vilnius, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 4 - 7).\n |- The departure day of Frankfurt is Day 4. The arrival day of Porto is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 11 - 14).\n   |- The departure day of Porto is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Porto].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Istanbul, Mykonos] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Porto to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 14).\n     |- The departure day of Munich is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Porto, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Mykonos] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 14).\n       |- The departure day of Mykonos is Day 12. The arrival day of Vilnius is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 14).\n     |- The departure day of Istanbul is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Frankfurt, Porto, Istanbul].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Istanbul to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Frankfurt, Porto, Istanbul, Vilnius].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n         |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vilnius to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Porto, Istanbul, Vilnius, Munich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Munich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Porto, Istanbul, Vilnius, Munich, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Porto.\n**Day 4-7:** Visit Porto for 4 days.\n**Day 7:** Fly from Porto to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Mykonos.\n**Day 16-19:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Rome**Reykjavik**Lisbon**Porto**Valencia",
    "ground_truth_durations": "3**2**2**4**4**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Rome",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You want to spend 2 days in Reykjavik. You would like to visit Lyon for 3 days. You plan to visit relatives in Lyon between day 1 and day 3. You want to spend 4 days in Porto. You want to meet a friend in Porto between day 8 and day 11. You would like to visit Rome for 2 days. You want to spend 4 days in Lisbon.\n\nHere are the cities that have direct flights:\nLyon and Valencia, Lisbon and Porto, Rome and Valencia, Rome and Reykjavik, Reykjavik and Lisbon, Porto and Valencia, Lyon and Porto, Lyon and Rome, Lyon and Lisbon, Lisbon and Valencia, Rome and Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You want to spend 2 days in Reykjavik. You would like to visit Lyon for 3 days. You plan to visit relatives in Lyon between day 1 and day 3. You want to spend 4 days in Porto. You want to meet a friend in Porto between day 8 and day 11. You would like to visit Rome for 2 days. You want to spend 4 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Lyon to Valencia, from Lisbon to Porto, from Rome to Valencia, from Rome to Reykjavik, from Reykjavik to Lisbon, from Porto to Valencia, from Lyon to Porto, from Lyon to Rome, from Lyon to Lisbon, from Lisbon to Valencia, from Rome to Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_628",
    "estimated_output_tokens": 2260,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Rome, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 3.\n* City: Porto, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 11).\n |- The departure day of Lyon is Day 3. The arrival day of Porto is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Rome, Lisbon] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 8 - 11).\n   |- The departure day of Valencia is Day 5. The arrival day of Porto is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome, Lisbon] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Valencia to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Valencia to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 8 - 11).\n   |- The departure day of Rome is Day 4. The arrival day of Porto is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 8 - 11).\n     |- The departure day of Valencia is Day 6. The arrival day of Porto is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Rome, Valencia].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Valencia to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 8 - 11).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Porto is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Lyon, Rome, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Lisbon] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 11).\n       |- The departure day of Lisbon is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Lyon, Rome, Reykjavik, Lisbon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Lisbon to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Rome, Reykjavik, Lisbon, Porto].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Lyon, Rome, Reykjavik, Lisbon, Porto, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Valencia.\n**Day 11-13:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Naples**Berlin**Krakow**Brussels**Riga",
    "ground_truth_durations": "4**2**4**5**5**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Riga"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Berlin",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You would like to visit Mykonos for 4 days. You would like to meet your friends at Mykonos between day 1 and day 4 to tour together. You want to spend 5 days in Krakow. From day 8 to day 12, there is a annual show you want to attend in Krakow. You would like to visit Berlin for 4 days. You would like to visit Brussels for 5 days. You want to meet a friend in Brussels between day 12 and day 16. You would like to visit Naples for 2 days.\n\nHere are the cities that have direct flights:\nBrussels and Riga, Naples and Berlin, Berlin and Brussels, Naples and Brussels, Berlin and Krakow, Mykonos and Naples, Krakow and Brussels, Berlin and Riga.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You would like to visit Mykonos for 4 days. You would like to meet your friends at Mykonos between day 1 and day 4 to tour together. You want to spend 5 days in Krakow. From day 8 to day 12, there is a annual show you want to attend in Krakow. You would like to visit Berlin for 4 days. You would like to visit Brussels for 5 days. You want to meet a friend in Brussels between day 12 and day 16. You would like to visit Naples for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Riga, from Naples to Berlin, from Berlin to Brussels, from Naples to Brussels, from Berlin to Krakow, from Mykonos to Naples, from Krakow to Brussels, from Berlin to Riga.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Brussels.\n**Day 12-16:** Visit Brussels for 5 days.\n**Day 16:** Fly from Brussels to Riga.\n**Day 16-18:** Visit Riga for 3 days.",
    "id": "trip_planning_example_629",
    "estimated_output_tokens": 1651,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Berlin, Duration: 4 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Fixed Schedule: Day 8 - 12.\n* City: Brussels, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 12).\n |- The departure day of Mykonos is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Naples] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 12).\n   |- The departure day of Naples is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Berlin] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Naples to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 8 - 12).\n     |- The departure day of Berlin is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Naples, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Berlin to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 12 - 16).\n       |- The departure day of Krakow is Day 12. The arrival day of Brussels is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, Naples, Berlin, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Mykonos, Naples, Berlin, Krakow, Brussels].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Brussels to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Mykonos, Naples, Berlin, Krakow, Brussels, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Brussels.\n**Day 12-16:** Visit Brussels for 5 days.\n**Day 16:** Fly from Brussels to Riga.\n**Day 16-18:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Istanbul**Porto**Valencia**Naples**Venice",
    "ground_truth_durations": "5**4**2**2**2**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Porto"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Valencia",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. You would like to visit Naples for 2 days. You want to spend 2 days in Porto. You plan to visit relatives in Porto between day 8 and day 9. You would like to visit Istanbul for 4 days. You would like to visit Valencia for 2 days. During day 9 and day 10, you have to attend a conference in Valencia. You would like to visit Munich for 5 days. From day 1 to day 5, there is a annual show you want to attend in Munich.\n\nHere are the cities that have direct flights:\nMunich and Porto, Munich and Naples, Porto and Valencia, Istanbul and Naples, Munich and Valencia, Munich and Venice, Istanbul and Valencia, Istanbul and Venice, Naples and Venice, Istanbul and Porto, Munich and Istanbul, Valencia and Naples.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. You would like to visit Naples for 2 days. You want to spend 2 days in Porto. You plan to visit relatives in Porto between day 8 and day 9. You would like to visit Istanbul for 4 days. You would like to visit Valencia for 2 days. During day 9 and day 10, you have to attend a conference in Valencia. You would like to visit Munich for 5 days. From day 1 to day 5, there is a annual show you want to attend in Munich.\n\nHere are the cities that have direct flights:\nfrom Munich to Porto, from Munich to Naples, from Porto to Valencia, from Istanbul to Naples, from Munich to Valencia, from Munich to Venice, from Istanbul to Valencia, from Istanbul to Venice, from Naples to Venice, from Istanbul to Porto, from Munich to Istanbul, from Valencia to Naples.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-11:** Visit Naples for 2 days.\n**Day 11:** Fly from Naples to Venice.\n**Day 11-12:** Visit Venice for 2 days.",
    "id": "trip_planning_example_630",
    "estimated_output_tokens": 2281,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Istanbul, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 5.\n* City: Porto, Fixed Schedule: Day 8 - 9.\n* City: Valencia, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 9).\n |- The departure day of Munich is Day 5. The arrival day of Porto is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Naples, Istanbul] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 9).\n   |- The departure day of Venice is Day 6. The arrival day of Porto is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Istanbul] and explore these options in order.\n     |- Try arranging to visit Naples from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 9).\n   |- The departure day of Naples is Day 6. The arrival day of Porto is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Istanbul] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 8 - 9).\n     |- The departure day of Venice is Day 7. The arrival day of Porto is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Naples, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Naples to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Munich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 9).\n   |- The departure day of Istanbul is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Munich, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Istanbul to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 9 - 10).\n     |- The departure day of Porto is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Istanbul, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Porto to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Istanbul, Porto, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Naples] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Munich, Istanbul, Porto, Valencia, Naples].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Naples to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Munich, Istanbul, Porto, Valencia, Naples, Venice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-11:** Visit Naples for 2 days.\n**Day 11:** Fly from Naples to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Madrid**Dublin**Lyon**Amsterdam**Vilnius",
    "ground_truth_durations": "3**4**5**3**4**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Dublin"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Naples",
        "Madrid"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dublin. You plan to visit relatives in Dublin between day 6 and day 10. You want to spend 4 days in Amsterdam. You want to spend 4 days in Vilnius. You plan to stay in Lyon for 3 days. From day 10 to day 12, there is a annual show you want to attend in Lyon. You plan to stay in Madrid for 4 days. You have to attend a workshop in Madrid between day 3 and day 6. You want to spend 3 days in Naples.\n\nHere are the cities that have direct flights:\nNaples and Dublin, Lyon and Amsterdam, Naples and Madrid, Dublin and Amsterdam, Madrid and Lyon, Madrid and Dublin, Amsterdam and Vilnius, Madrid and Amsterdam, Naples and Amsterdam, Dublin and Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dublin. You plan to visit relatives in Dublin between day 6 and day 10. You want to spend 4 days in Amsterdam. You want to spend 4 days in Vilnius. You plan to stay in Lyon for 3 days. From day 10 to day 12, there is a annual show you want to attend in Lyon. You plan to stay in Madrid for 4 days. You have to attend a workshop in Madrid between day 3 and day 6. You want to spend 3 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Naples to Dublin, from Lyon to Amsterdam, from Naples to Madrid, from Dublin to Amsterdam, from Madrid to Lyon, from Madrid to Dublin, from Amsterdam to Vilnius, from Madrid to Amsterdam, from Naples to Amsterdam, from Dublin to Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Madrid.\n**Day 3-6:** Visit Madrid for 4 days.\n**Day 6:** Fly from Madrid to Dublin.\n**Day 6-10:** Visit Dublin for 5 days.\n**Day 10:** Fly from Dublin to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Amsterdam.\n**Day 12-15:** Visit Amsterdam for 4 days.\n**Day 15:** Fly from Amsterdam to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_631",
    "estimated_output_tokens": 1667,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 3 - 6.\n* City: Dublin, Fixed Schedule: Day 6 - 10.\n* City: Lyon, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Naples] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 6).\n |- The departure day of Amsterdam is Day 4. The arrival day of Madrid is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 6).\n |- The departure day of Vilnius is Day 4. The arrival day of Madrid is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 6).\n |- The departure day of Naples is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Naples to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dublin (Day 6 - 10).\n   |- The departure day of Madrid is Day 6. The arrival day of Dublin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Naples, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 12).\n     |- The departure day of Dublin is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Madrid, Dublin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dublin to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Madrid, Dublin, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Lyon to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Naples, Madrid, Dublin, Lyon, Amsterdam].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Amsterdam to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Naples, Madrid, Dublin, Lyon, Amsterdam, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Madrid.\n**Day 3-6:** Visit Madrid for 4 days.\n**Day 6:** Fly from Madrid to Dublin.\n**Day 6-10:** Visit Dublin for 5 days.\n**Day 10:** Fly from Dublin to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Amsterdam.\n**Day 12-15:** Visit Amsterdam for 4 days.\n**Day 15:** Fly from Amsterdam to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Berlin**Tallinn**Vilnius**Paris**Bucharest",
    "ground_truth_durations": "4**2**2**3**3**2",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. During day 5 and day 6, you have to attend a conference in Tallinn. You want to spend 3 days in Paris. You would like to visit Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 6 and day 8. You want to spend 4 days in Salzburg. You would like to visit Berlin for 2 days. You would like to meet your friends at Berlin between day 4 and day 5 to tour together. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nVilnius and Paris, Berlin and Paris, Paris and Bucharest, Berlin and Tallinn, Salzburg and Berlin, from Tallinn to Vilnius, Berlin and Vilnius, Tallinn and Paris.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. During day 5 and day 6, you have to attend a conference in Tallinn. You want to spend 3 days in Paris. You would like to visit Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 6 and day 8. You want to spend 4 days in Salzburg. You would like to visit Berlin for 2 days. You would like to meet your friends at Berlin between day 4 and day 5 to tour together. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Paris, from Berlin to Paris, from Paris to Bucharest, from Berlin to Tallinn, from Salzburg to Berlin, from Tallinn to Vilnius, from Berlin to Vilnius, from Tallinn to Paris.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-6:** Visit Tallinn for 2 days.\n**Day 6:** Fly from Tallinn to Vilnius.\n**Day 6-8:** Visit Vilnius for 3 days.\n**Day 8:** Fly from Vilnius to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_632",
    "estimated_output_tokens": 1982,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Paris, Duration: 3 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Salzburg, Duration: 4 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 4 - 5.\n* City: Tallinn, Fixed Schedule: Day 5 - 6.\n* City: Vilnius, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Salzburg, Bucharest] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 5).\n |- The departure day of Paris is Day 3. The arrival day of Berlin is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Bucharest] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Paris to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 4 - 5).\n   |- The departure day of Bucharest is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 5).\n |- The departure day of Salzburg is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Salzburg to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 5 - 6).\n   |- The departure day of Berlin is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Berlin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 6 - 8).\n     |- The departure day of Tallinn is Day 6. The arrival day of Vilnius is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Salzburg, Berlin, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Salzburg, Berlin, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Bucharest] and explore these options in order.\n         |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Vilnius to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Salzburg, Berlin, Tallinn, Vilnius, Paris].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Paris to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Salzburg, Berlin, Tallinn, Vilnius, Paris, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-6:** Visit Tallinn for 2 days.\n**Day 6:** Fly from Tallinn to Vilnius.\n**Day 6-8:** Visit Vilnius for 3 days.\n**Day 8:** Fly from Vilnius to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Lisbon**Oslo**Nice**Brussels**Seville",
    "ground_truth_durations": "4**4**2**3**3**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Oslo",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 3 days. You are going to attend a wedding in Brussels between day 10 and day 12. You plan to stay in Nice for 3 days. You plan to stay in Seville for 5 days. You would like to visit Lisbon for 4 days. You would like to visit Oslo for 2 days. You want to meet a friend in Oslo between day 7 and day 8. You plan to stay in Florence for 4 days. From day 1 to day 4, there is a annual show you want to attend in Florence.\n\nHere are the cities that have direct flights:\nFlorence and Lisbon, Florence and Brussels, Lisbon and Nice, Oslo and Nice, Lisbon and Oslo, Nice and Brussels, Lisbon and Brussels, Lisbon and Seville, Brussels and Seville, Oslo and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 3 days. You are going to attend a wedding in Brussels between day 10 and day 12. You plan to stay in Nice for 3 days. You plan to stay in Seville for 5 days. You would like to visit Lisbon for 4 days. You would like to visit Oslo for 2 days. You want to meet a friend in Oslo between day 7 and day 8. You plan to stay in Florence for 4 days. From day 1 to day 4, there is a annual show you want to attend in Florence.\n\nHere are the cities that have direct flights:\nfrom Florence to Lisbon, from Florence to Brussels, from Lisbon to Nice, from Oslo to Nice, from Lisbon to Oslo, from Nice to Brussels, from Lisbon to Brussels, from Lisbon to Seville, from Brussels to Seville, from Oslo to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Oslo.\n**Day 7-8:** Visit Oslo for 2 days.\n**Day 8:** Fly from Oslo to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Seville.\n**Day 12-16:** Visit Seville for 5 days.",
    "id": "trip_planning_example_633",
    "estimated_output_tokens": 1554,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Nice, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Fixed Schedule: Day 7 - 8.\n* City: Brussels, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Nice, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 7 - 8).\n |- The departure day of Florence is Day 4. The arrival day of Oslo is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Seville, Lisbon] and explore these options in order.\n   |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 7 - 8).\n   |- The departure day of Lisbon is Day 7. The arrival day of Oslo is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 10 - 12).\n     |- The departure day of Oslo is Day 8. The arrival day of Brussels is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Lisbon, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Seville] and explore these options in order.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Oslo to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 10 - 12).\n       |- The departure day of Nice is Day 10. The arrival day of Brussels is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Lisbon, Oslo, Nice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Nice to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Florence, Lisbon, Oslo, Nice, Brussels].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Brussels to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Florence, Lisbon, Oslo, Nice, Brussels, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Oslo.\n**Day 7-8:** Visit Oslo for 2 days.\n**Day 8:** Fly from Oslo to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Seville.\n**Day 12-16:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Santorini**Naples**Nice**Frankfurt**Florence",
    "ground_truth_durations": "5**4**3**3**2**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Naples",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 8 and day 10 to tour together. You want to spend 4 days in Santorini. You would like to visit Nice for 3 days. You want to spend 2 days in Florence. You would like to visit Frankfurt for 2 days. You are going to attend a wedding in Frankfurt between day 12 and day 13.\n\nHere are the cities that have direct flights:\nNice and Frankfurt, Stockholm and Nice, Santorini and Naples, Naples and Frankfurt, Frankfurt and Florence, from Stockholm to Santorini, Stockholm and Frankfurt, Naples and Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 8 and day 10 to tour together. You want to spend 4 days in Santorini. You would like to visit Nice for 3 days. You want to spend 2 days in Florence. You would like to visit Frankfurt for 2 days. You are going to attend a wedding in Frankfurt between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Nice to Frankfurt, from Stockholm to Nice, from Santorini to Naples, from Naples to Frankfurt, from Frankfurt to Florence, from Stockholm to Santorini, from Stockholm to Frankfurt, from Naples to Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-8:** Visit Santorini for 4 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-10:** Visit Naples for 3 days.\n**Day 10:** Fly from Naples to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Florence.\n**Day 13-14:** Visit Florence for 2 days.",
    "id": "trip_planning_example_634",
    "estimated_output_tokens": 1478,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Santorini, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 8 - 10.\n* City: Frankfurt, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Nice, Florence] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 8 - 10).\n |- The departure day of Stockholm is Day 5. The arrival day of Naples is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Nice, Florence] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 8 - 10).\n   |- The departure day of Santorini is Day 8. The arrival day of Naples is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Santorini to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 12 - 13).\n     |- The departure day of Naples is Day 10. The arrival day of Frankfurt is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stockholm, Santorini, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Florence] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 13).\n       |- The departure day of Nice is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stockholm, Santorini, Naples, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Nice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, Santorini, Naples, Nice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, Santorini, Naples, Nice, Frankfurt, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-8:** Visit Santorini for 4 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-10:** Visit Naples for 3 days.\n**Day 10:** Fly from Naples to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Florence.\n**Day 13-14:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Geneva**Stockholm**Helsinki**Brussels**Florence",
    "ground_truth_durations": "5**4**3**3**2**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Geneva",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You have to attend a workshop in Florence between day 13 and day 15. You plan to stay in Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 8 and day 10. You would like to visit Geneva for 4 days. During day 5 and day 8, you have to attend a conference in Geneva. You plan to stay in Mykonos for 5 days. You would like to visit Brussels for 2 days. You plan to stay in Helsinki for 3 days.\n\nHere are the cities that have direct flights:\nGeneva and Stockholm, Helsinki and Brussels, Brussels and Florence, Geneva and Helsinki, Mykonos and Geneva, Stockholm and Brussels, Stockholm and Helsinki, Geneva and Brussels.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You have to attend a workshop in Florence between day 13 and day 15. You plan to stay in Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 8 and day 10. You would like to visit Geneva for 4 days. During day 5 and day 8, you have to attend a conference in Geneva. You plan to stay in Mykonos for 5 days. You would like to visit Brussels for 2 days. You plan to stay in Helsinki for 3 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Stockholm, from Helsinki to Brussels, from Brussels to Florence, from Geneva to Helsinki, from Mykonos to Geneva, from Stockholm to Brussels, from Stockholm to Helsinki, from Geneva to Brussels.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Helsinki.\n**Day 10-12:** Visit Helsinki for 3 days.\n**Day 12:** Fly from Helsinki to Brussels.\n**Day 12-13:** Visit Brussels for 2 days.\n**Day 13:** Fly from Brussels to Florence.\n**Day 13-15:** Visit Florence for 3 days.",
    "id": "trip_planning_example_635",
    "estimated_output_tokens": 1771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Mykonos, Duration: 5 days.\n* City: Brussels, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 5 - 8.\n* City: Stockholm, Fixed Schedule: Day 8 - 10.\n* City: Florence, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Brussels, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Brussels, Helsinki] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 5 - 8).\n |- The departure day of Mykonos is Day 5. The arrival day of Geneva is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 10).\n   |- The departure day of Geneva is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Mykonos, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Geneva to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 13 - 15).\n     |- The departure day of Stockholm is Day 10. The arrival day of Florence is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Geneva, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Helsinki] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stockholm to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 13 - 15).\n       |- The departure day of Brussels is Day 11. The arrival day of Florence is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Geneva, Stockholm, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Brussels to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stockholm to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 13 - 15).\n       |- The departure day of Helsinki is Day 12. The arrival day of Florence is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, Geneva, Stockholm, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 13 - 15).\n         |- The departure day of Brussels is Day 13. The arrival day of Florence is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Geneva, Stockholm, Helsinki, Brussels].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Brussels to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Mykonos, Geneva, Stockholm, Helsinki, Brussels, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Helsinki.\n**Day 10-12:** Visit Helsinki for 3 days.\n**Day 12:** Fly from Helsinki to Brussels.\n**Day 12-13:** Visit Brussels for 2 days.\n**Day 13:** Fly from Brussels to Florence.\n**Day 13-15:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Brussels**Nice**Warsaw**Geneva**Mykonos",
    "ground_truth_durations": "3**2**5**5**4**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Helsinki",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You want to spend 5 days in Warsaw. You plan to visit relatives in Warsaw between day 8 and day 12. You would like to visit Nice for 5 days. During day 4 and day 8, you have to attend a conference in Nice. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 3 and day 4. You want to spend 4 days in Geneva. You would like to visit Helsinki for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Warsaw, Nice and Geneva, Helsinki and Geneva, Geneva and Mykonos, Brussels and Warsaw, Nice and Mykonos, Brussels and Geneva, Helsinki and Brussels, Nice and Warsaw, Brussels and Nice, Warsaw and Geneva, Helsinki and Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You want to spend 5 days in Warsaw. You plan to visit relatives in Warsaw between day 8 and day 12. You would like to visit Nice for 5 days. During day 4 and day 8, you have to attend a conference in Nice. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 3 and day 4. You want to spend 4 days in Geneva. You would like to visit Helsinki for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Warsaw, from Nice to Geneva, from Helsinki to Geneva, from Geneva to Mykonos, from Brussels to Warsaw, from Nice to Mykonos, from Brussels to Geneva, from Helsinki to Brussels, from Nice to Warsaw, from Brussels to Nice, from Warsaw to Geneva, from Helsinki to Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Brussels.\n**Day 3-4:** Visit Brussels for 2 days.\n**Day 4:** Fly from Brussels to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Geneva.\n**Day 12-15:** Visit Geneva for 4 days.\n**Day 15:** Fly from Geneva to Mykonos.\n**Day 15-19:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_636",
    "estimated_output_tokens": 1708,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Geneva, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 3 - 4.\n* City: Nice, Fixed Schedule: Day 4 - 8.\n* City: Warsaw, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Geneva, Helsinki] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 3 - 4).\n |- The departure day of Mykonos is Day 5. The arrival day of Brussels is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 3 - 4).\n |- The departure day of Geneva is Day 4. The arrival day of Brussels is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 3 - 4).\n |- The departure day of Helsinki is Day 3. The arrival day of Brussels is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 4 - 8).\n   |- The departure day of Brussels is Day 4. The arrival day of Nice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Helsinki, Brussels].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Brussels to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 8 - 12).\n     |- The departure day of Nice is Day 8. The arrival day of Warsaw is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Brussels, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Brussels, Nice, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Geneva] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Warsaw to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Warsaw to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Brussels, Nice, Warsaw, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Geneva to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Helsinki, Brussels, Nice, Warsaw, Geneva, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Brussels.\n**Day 3-4:** Visit Brussels for 2 days.\n**Day 4:** Fly from Brussels to Nice.\n**Day 4-8:** Visit Nice for 5 days.\n**Day 8:** Fly from Nice to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Geneva.\n**Day 12-15:** Visit Geneva for 4 days.\n**Day 15:** Fly from Geneva to Mykonos.\n**Day 15-19:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Istanbul**Valencia**Naples**Vienna**Reykjavik",
    "ground_truth_durations": "5**5**2**4**2**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Istanbul",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Naples. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 9 and day 10. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 1 and day 5. You would like to visit Reykjavik for 5 days. You would like to visit Istanbul for 5 days. During day 5 and day 9, you have to attend a conference in Istanbul. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Naples, Bucharest and Istanbul, Valencia and Vienna, Bucharest and Naples, Istanbul and Valencia, Bucharest and Valencia, Valencia and Naples, Vienna and Reykjavik, Bucharest and Vienna, Naples and Vienna, Istanbul and Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Naples. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 9 and day 10. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 1 and day 5. You would like to visit Reykjavik for 5 days. You would like to visit Istanbul for 5 days. During day 5 and day 9, you have to attend a conference in Istanbul. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Naples, from Bucharest to Istanbul, from Valencia to Vienna, from Bucharest to Naples, from Istanbul to Valencia, from Bucharest to Valencia, from Valencia to Naples, from Vienna to Reykjavik, from Bucharest to Vienna, from Naples to Vienna, from Istanbul to Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_637",
    "estimated_output_tokens": 1478,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Duration: 5 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 5 - 9.\n* City: Valencia, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Naples, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 9).\n |- The departure day of Bucharest is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 9 - 10).\n   |- The departure day of Istanbul is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Bucharest, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Istanbul to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Istanbul, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Reykjavik, Vienna] and explore these options in order.\n       |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Valencia to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Istanbul, Valencia, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vienna] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Naples to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Istanbul, Valencia, Naples, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Istanbul, Valencia, Naples, Vienna, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Santorini**Oslo**Reykjavik**Paris**Geneva",
    "ground_truth_durations": "5**3**3**3**5**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Rome",
        "Paris"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 9 and day 11 to tour together. You plan to stay in Rome for 5 days. You would like to visit Oslo for 3 days. You plan to stay in Paris for 5 days. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 15 and day 19. You want to spend 3 days in Santorini. From day 5 to day 7, there is a annual show you want to attend in Santorini.\n\nHere are the cities that have direct flights:\nSantorini and Geneva, Rome and Oslo, Rome and Paris, Reykjavik and Paris, Oslo and Reykjavik, Rome and Santorini, Rome and Geneva, Rome and Reykjavik, Oslo and Paris, Paris and Geneva, from Santorini to Oslo, Oslo and Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 9 and day 11 to tour together. You plan to stay in Rome for 5 days. You would like to visit Oslo for 3 days. You plan to stay in Paris for 5 days. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 15 and day 19. You want to spend 3 days in Santorini. From day 5 to day 7, there is a annual show you want to attend in Santorini.\n\nHere are the cities that have direct flights:\nfrom Santorini to Geneva, from Rome to Oslo, from Rome to Paris, from Reykjavik to Paris, from Oslo to Reykjavik, from Rome to Santorini, from Rome to Geneva, from Rome to Reykjavik, from Oslo to Paris, from Paris to Geneva, from Santorini to Oslo, from Oslo to Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.",
    "id": "trip_planning_example_638",
    "estimated_output_tokens": 1573,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Rome, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 7.\n* City: Reykjavik, Fixed Schedule: Day 9 - 11.\n* City: Geneva, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Oslo, Paris] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 7).\n |- The departure day of Rome is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Rome to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 9 - 11).\n   |- The departure day of Santorini is Day 7. The arrival day of Reykjavik is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Paris] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Santorini to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 11).\n     |- The departure day of Oslo is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Santorini, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 15 - 19).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Geneva is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Santorini, Oslo, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Reykjavik to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 15 - 19).\n         |- The departure day of Paris is Day 15. The arrival day of Geneva is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Rome, Santorini, Oslo, Reykjavik, Paris].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Paris to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Rome, Santorini, Oslo, Reykjavik, Paris, Geneva].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lisbon**Athens**Santorini**Vienna**Seville",
    "ground_truth_durations": "5**4**2**3**4**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Seville"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Valencia",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lisbon. You want to spend 4 days in Seville. You have to attend a workshop in Seville between day 14 and day 17. You want to spend 3 days in Santorini. You would like to meet your friends at Santorini between day 9 and day 11 to tour together. You plan to stay in Vienna for 4 days. You want to spend 2 days in Athens. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nVienna and Seville, Lisbon and Athens, Valencia and Lisbon, Santorini and Vienna, Lisbon and Seville, Valencia and Vienna, Athens and Vienna, Athens and Santorini, Valencia and Seville, Lisbon and Vienna, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lisbon. You want to spend 4 days in Seville. You have to attend a workshop in Seville between day 14 and day 17. You want to spend 3 days in Santorini. You would like to meet your friends at Santorini between day 9 and day 11 to tour together. You plan to stay in Vienna for 4 days. You want to spend 2 days in Athens. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Seville, from Lisbon to Athens, from Valencia to Lisbon, from Santorini to Vienna, from Lisbon to Seville, from Valencia to Vienna, from Athens to Vienna, from Athens to Santorini, from Valencia to Seville, from Lisbon to Vienna, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Seville.\n**Day 14-17:** Visit Seville for 4 days.",
    "id": "trip_planning_example_639",
    "estimated_output_tokens": 2442,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Vienna, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 5 - 8.\n* City: Santorini, Fixed Schedule: Day 9 - 11.\n* City: Seville, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Athens, Valencia] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 8).\n |- The departure day of Vienna is Day 4. The arrival day of Lisbon is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Valencia] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vienna to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 8).\n |- The departure day of Athens is Day 2. The arrival day of Lisbon is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Valencia] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Athens to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 5 - 8).\n   |- The departure day of Vienna is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 8).\n |- The departure day of Valencia is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 9 - 11).\n   |- The departure day of Lisbon is Day 8. The arrival day of Santorini is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Athens] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Lisbon to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 9 - 11).\n     |- The departure day of Vienna is Day 11. The arrival day of Santorini is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Lisbon to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 9 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Santorini is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Lisbon, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Athens to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 14 - 17).\n       |- The departure day of Santorini is Day 11. The arrival day of Seville is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Lisbon, Athens, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 14 - 17).\n         |- The departure day of Vienna is Day 14. The arrival day of Seville is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Lisbon, Athens, Santorini, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vienna to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Lisbon, Athens, Santorini, Vienna, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Seville.\n**Day 14-17:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Barcelona**Riga**Vilnius**Munich**Naples",
    "ground_truth_durations": "5**3**2**4**2**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Budapest",
        "Barcelona"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Munich",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. From day 1 to day 5, there is a annual show you want to attend in Budapest. You would like to visit Munich for 2 days. You are going to attend a wedding in Munich between day 11 and day 12. You want to spend 4 days in Naples. You want to spend 2 days in Riga. You have to attend a workshop in Riga between day 7 and day 8. You want to spend 3 days in Barcelona. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Naples, from Riga to Munich, Budapest and Naples, from Riga to Vilnius, Barcelona and Riga, Barcelona and Munich, Budapest and Barcelona, from Vilnius to Munich, Budapest and Munich, Munich and Naples.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. From day 1 to day 5, there is a annual show you want to attend in Budapest. You would like to visit Munich for 2 days. You are going to attend a wedding in Munich between day 11 and day 12. You want to spend 4 days in Naples. You want to spend 2 days in Riga. You have to attend a workshop in Riga between day 7 and day 8. You want to spend 3 days in Barcelona. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Naples, from Riga to Munich, from Budapest to Naples, from Riga to Vilnius, from Barcelona to Riga, from Barcelona to Munich, from Budapest to Barcelona, from Vilnius to Munich, from Budapest to Munich, from Munich to Naples.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Riga.\n**Day 7-8:** Visit Riga for 2 days.\n**Day 8:** Fly from Riga to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Naples.\n**Day 12-15:** Visit Naples for 4 days.",
    "id": "trip_planning_example_640",
    "estimated_output_tokens": 1669,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Naples, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Barcelona, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 5.\n* City: Riga, Fixed Schedule: Day 7 - 8.\n* City: Munich, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Naples, Duration: 4 days.\n* City: Barcelona, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 7 - 8).\n |- The departure day of Budapest is Day 5. The arrival day of Riga is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Barcelona, Vilnius] and explore these options in order.\n   |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 7 - 8).\n   |- The departure day of Naples is Day 8. The arrival day of Riga is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 7 - 8).\n   |- The departure day of Barcelona is Day 7. The arrival day of Riga is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 11 - 12).\n     |- The departure day of Riga is Day 8. The arrival day of Munich is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Budapest, Barcelona, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius] and explore these options in order.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 11 - 12).\n       |- The departure day of Vilnius is Day 11. The arrival day of Munich is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Budapest, Barcelona, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vilnius to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Budapest, Barcelona, Riga, Vilnius, Munich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Munich to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Budapest, Barcelona, Riga, Vilnius, Munich, Naples].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Riga.\n**Day 7-8:** Visit Riga for 2 days.\n**Day 8:** Fly from Riga to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Naples.\n**Day 12-15:** Visit Naples for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Nice**Lyon**Venice**Manchester**Geneva",
    "ground_truth_durations": "2**5**2**2**3**3",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Nice",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You have to attend a workshop in Manchester between day 8 and day 10. You would like to visit Geneva for 3 days. You would like to visit Lyon for 2 days. You plan to stay in Nice for 5 days. You want to meet a friend in Nice between day 2 and day 6. You would like to visit Venice for 2 days. You want to spend 2 days in Barcelona. From day 1 to day 2, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nBarcelona and Nice, Manchester and Geneva, Nice and Geneva, Barcelona and Manchester, Venice and Manchester, Barcelona and Lyon, Barcelona and Venice, Lyon and Venice, Barcelona and Geneva, Nice and Venice, Nice and Lyon, Nice and Manchester.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You have to attend a workshop in Manchester between day 8 and day 10. You would like to visit Geneva for 3 days. You would like to visit Lyon for 2 days. You plan to stay in Nice for 5 days. You want to meet a friend in Nice between day 2 and day 6. You would like to visit Venice for 2 days. You want to spend 2 days in Barcelona. From day 1 to day 2, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Nice, from Manchester to Geneva, from Nice to Geneva, from Barcelona to Manchester, from Venice to Manchester, from Barcelona to Lyon, from Barcelona to Venice, from Lyon to Venice, from Barcelona to Geneva, from Nice to Venice, from Nice to Lyon, from Nice to Manchester.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Nice.\n**Day 2-6:** Visit Nice for 5 days.\n**Day 6:** Fly from Nice to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Manchester.\n**Day 8-10:** Visit Manchester for 3 days.\n**Day 10:** Fly from Manchester to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_641",
    "estimated_output_tokens": 1750,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Geneva, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Venice, Duration: 2 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Nice, Fixed Schedule: Day 2 - 6.\n* City: Manchester, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 6).\n |- The departure day of Barcelona is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Barcelona to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Manchester (Day 8 - 10).\n   |- The departure day of Nice is Day 6. The arrival day of Manchester is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Lyon, Venice] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Nice to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 8 - 10).\n     |- The departure day of Geneva is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Nice, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Geneva to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Nice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 8 - 10).\n     |- The departure day of Lyon is Day 7. The arrival day of Manchester is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Nice, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Venice] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 8 - 10).\n       |- The departure day of Venice is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Nice, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Venice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Barcelona, Nice, Lyon, Venice, Manchester].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Manchester to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Barcelona, Nice, Lyon, Venice, Manchester, Geneva].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Nice.\n**Day 2-6:** Visit Nice for 5 days.\n**Day 6:** Fly from Nice to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Manchester.\n**Day 8-10:** Visit Manchester for 3 days.\n**Day 10:** Fly from Manchester to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Athens**Barcelona**Florence**Madrid**Copenhagen",
    "ground_truth_durations": "3**3**4**2**5**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Madrid"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You would like to visit Venice for 3 days. You want to spend 3 days in Athens. You are going to attend a wedding in Athens between day 3 and day 5. You want to spend 5 days in Madrid. You would like to visit Barcelona for 4 days. You want to meet a friend in Barcelona between day 5 and day 8. You plan to stay in Copenhagen for 4 days. From day 13 to day 16, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nAthens and Madrid, Venice and Barcelona, Barcelona and Copenhagen, Venice and Athens, Barcelona and Madrid, Venice and Madrid, Athens and Copenhagen, Florence and Madrid, Venice and Copenhagen, Athens and Barcelona, Madrid and Copenhagen, Barcelona and Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You would like to visit Venice for 3 days. You want to spend 3 days in Athens. You are going to attend a wedding in Athens between day 3 and day 5. You want to spend 5 days in Madrid. You would like to visit Barcelona for 4 days. You want to meet a friend in Barcelona between day 5 and day 8. You plan to stay in Copenhagen for 4 days. From day 13 to day 16, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Athens to Madrid, from Venice to Barcelona, from Barcelona to Copenhagen, from Venice to Athens, from Barcelona to Madrid, from Venice to Madrid, from Athens to Copenhagen, from Florence to Madrid, from Venice to Copenhagen, from Athens to Barcelona, from Madrid to Copenhagen, from Barcelona to Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Copenhagen.\n**Day 13-16:** Visit Copenhagen for 4 days.",
    "id": "trip_planning_example_642",
    "estimated_output_tokens": 1849,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Madrid, Duration: 5 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 3 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 8.\n* City: Copenhagen, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Venice, Madrid] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 5).\n |- The departure day of Florence is Day 2. The arrival day of Athens is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Madrid] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of Madrid is Day 6. The arrival day of Athens is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 5).\n |- The departure day of Venice is Day 3. The arrival day of Athens is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 5 - 8).\n   |- The departure day of Athens is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 13 - 16).\n     |- The departure day of Barcelona is Day 8. The arrival day of Copenhagen is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Athens, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 13 - 16).\n       |- The departure day of Florence is Day 9. The arrival day of Copenhagen is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Athens, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Florence to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 13 - 16).\n         |- The departure day of Madrid is Day 13. The arrival day of Copenhagen is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Athens, Barcelona, Florence, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Madrid to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Athens, Barcelona, Florence, Madrid, Copenhagen].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Copenhagen.\n**Day 13-16:** Visit Copenhagen for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Florence**Frankfurt**Valencia**Athens**Manchester",
    "ground_truth_durations": "4**3**4**3**3**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Frankfurt",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You want to spend 3 days in Valencia. You plan to stay in Athens for 3 days. You want to spend 4 days in Frankfurt. You have to attend a workshop in Frankfurt between day 6 and day 9. You would like to visit Prague for 4 days. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 4 and day 6.\n\nHere are the cities that have direct flights:\nPrague and Valencia, Frankfurt and Valencia, Prague and Athens, Athens and Manchester, Prague and Florence, Frankfurt and Manchester, Prague and Manchester, Prague and Frankfurt, Florence and Frankfurt, from Valencia to Athens, Frankfurt and Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You want to spend 3 days in Valencia. You plan to stay in Athens for 3 days. You want to spend 4 days in Frankfurt. You have to attend a workshop in Frankfurt between day 6 and day 9. You would like to visit Prague for 4 days. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Prague to Valencia, from Frankfurt to Valencia, from Prague to Athens, from Athens to Manchester, from Prague to Florence, from Frankfurt to Manchester, from Prague to Manchester, from Prague to Frankfurt, from Florence to Frankfurt, from Valencia to Athens, from Frankfurt to Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Manchester.\n**Day 13-15:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_643",
    "estimated_output_tokens": 2841,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Prague, Duration: 4 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 4 - 6.\n* City: Frankfurt, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Valencia, Athens, Prague] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 6).\n |- The departure day of Manchester is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Prague] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 6).\n |- The departure day of Valencia is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Athens, Prague] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 6).\n   |- The departure day of Athens is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 6).\n |- The departure day of Athens is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Prague] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 6).\n   |- The departure day of Manchester is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 6).\n |- The departure day of Prague is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 6 - 9).\n   |- The departure day of Florence is Day 6. The arrival day of Frankfurt is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Florence].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Florence to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Florence, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Athens] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, Florence, Frankfurt, Manchester].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Athens] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, Florence, Frankfurt, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Athens] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Prague, Florence, Frankfurt, Valencia, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Athens to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Prague, Florence, Frankfurt, Valencia, Athens, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Manchester.\n**Day 13-15:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Warsaw**Vilnius**Helsinki**Dublin**Santorini",
    "ground_truth_durations": "2**3**4**5**2**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Dublin",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 2 days. During day 1 and day 2, you have to attend a conference in Hamburg. You plan to stay in Warsaw for 3 days. You plan to stay in Vilnius for 4 days. You plan to stay in Santorini for 5 days. You want to spend 5 days in Helsinki. You plan to stay in Dublin for 2 days.\n\nHere are the cities that have direct flights:\nWarsaw and Helsinki, Hamburg and Helsinki, Hamburg and Warsaw, Warsaw and Vilnius, Vilnius and Helsinki, Helsinki and Dublin, Hamburg and Dublin, Dublin and Santorini.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 2 days. During day 1 and day 2, you have to attend a conference in Hamburg. You plan to stay in Warsaw for 3 days. You plan to stay in Vilnius for 4 days. You plan to stay in Santorini for 5 days. You want to spend 5 days in Helsinki. You plan to stay in Dublin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Helsinki, from Hamburg to Helsinki, from Hamburg to Warsaw, from Warsaw to Vilnius, from Vilnius to Helsinki, from Helsinki to Dublin, from Hamburg to Dublin, from Dublin to Santorini.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Warsaw.\n**Day 2-4:** Visit Warsaw for 3 days.\n**Day 4:** Fly from Warsaw to Vilnius.\n**Day 4-7:** Visit Vilnius for 4 days.\n**Day 7:** Fly from Vilnius to Helsinki.\n**Day 7-11:** Visit Helsinki for 5 days.\n**Day 11:** Fly from Helsinki to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Santorini.\n**Day 12-16:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_644",
    "estimated_output_tokens": 1452,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Santorini, Helsinki, Dublin] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Santorini, Helsinki, Dublin] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Warsaw, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Helsinki, Dublin] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Warsaw, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Helsinki to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Helsinki to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Warsaw, Vilnius, Helsinki, Dublin].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Dublin to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Hamburg, Warsaw, Vilnius, Helsinki, Dublin, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Warsaw.\n**Day 2-4:** Visit Warsaw for 3 days.\n**Day 4:** Fly from Warsaw to Vilnius.\n**Day 4-7:** Visit Vilnius for 4 days.\n**Day 7:** Fly from Vilnius to Helsinki.\n**Day 7-11:** Visit Helsinki for 5 days.\n**Day 11:** Fly from Helsinki to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Santorini.\n**Day 12-16:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Barcelona**Tallinn**Brussels**Lyon**Istanbul",
    "ground_truth_durations": "3**4**5**3**2**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You want to meet a friend in Barcelona between day 3 and day 6. You would like to visit Copenhagen for 3 days. You are going to attend a wedding in Copenhagen between day 1 and day 3. You plan to stay in Lyon for 2 days. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 13 and day 14. You want to spend 3 days in Brussels. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Brussels, from Istanbul to Tallinn, Lyon and Istanbul, Tallinn and Brussels, Brussels and Lyon, Copenhagen and Tallinn, Copenhagen and Barcelona, Barcelona and Tallinn, Brussels and Istanbul, Barcelona and Istanbul, Barcelona and Lyon, Barcelona and Brussels, Copenhagen and Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. You want to meet a friend in Barcelona between day 3 and day 6. You would like to visit Copenhagen for 3 days. You are going to attend a wedding in Copenhagen between day 1 and day 3. You plan to stay in Lyon for 2 days. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 13 and day 14. You want to spend 3 days in Brussels. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Brussels, from Istanbul to Tallinn, from Lyon to Istanbul, from Tallinn to Brussels, from Brussels to Lyon, from Copenhagen to Tallinn, from Copenhagen to Barcelona, from Barcelona to Tallinn, from Brussels to Istanbul, from Barcelona to Istanbul, from Barcelona to Lyon, from Barcelona to Brussels, from Copenhagen to Istanbul.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.",
    "id": "trip_planning_example_645",
    "estimated_output_tokens": 2373,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Duration: 2 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Brussels, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 3.\n* City: Barcelona, Fixed Schedule: Day 3 - 6.\n* City: Istanbul, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 6).\n |- The departure day of Copenhagen is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 13 - 14).\n   |- The departure day of Barcelona is Day 6. The arrival day of Istanbul is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Brussels, Tallinn] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 14).\n     |- The departure day of Lyon is Day 7. The arrival day of Istanbul is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Barcelona, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Tallinn] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Barcelona to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 14).\n     |- The departure day of Brussels is Day 8. The arrival day of Istanbul is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Barcelona, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Brussels to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 13 - 14).\n       |- The departure day of Lyon is Day 9. The arrival day of Istanbul is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Copenhagen, Barcelona, Brussels, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Lyon to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Brussels to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 14).\n     |- The departure day of Tallinn is Day 10. The arrival day of Istanbul is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Barcelona, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Brussels] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Tallinn to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Tallinn to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 13 - 14).\n       |- The departure day of Brussels is Day 12. The arrival day of Istanbul is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Barcelona, Tallinn, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Brussels to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 13 - 14).\n         |- The departure day of Lyon is Day 13. The arrival day of Istanbul is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Barcelona, Tallinn, Brussels, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lyon to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Copenhagen, Barcelona, Tallinn, Brussels, Lyon, Istanbul].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Milan**Split**Lyon**Bucharest**Madrid",
    "ground_truth_durations": "2**4**2**4**5**5",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Lyon"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Lyon",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. You plan to stay in Vilnius for 2 days. You plan to visit relatives in Vilnius between day 1 and day 2. You would like to visit Bucharest for 5 days. You plan to stay in Madrid for 5 days. You have to attend a workshop in Madrid between day 13 and day 17. You want to spend 4 days in Lyon. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nSplit and Lyon, Milan and Split, Bucharest and Madrid, Vilnius and Split, Split and Madrid, Lyon and Bucharest, Milan and Madrid, Vilnius and Milan, Lyon and Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. You plan to stay in Vilnius for 2 days. You plan to visit relatives in Vilnius between day 1 and day 2. You would like to visit Bucharest for 5 days. You plan to stay in Madrid for 5 days. You have to attend a workshop in Madrid between day 13 and day 17. You want to spend 4 days in Lyon. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nfrom Split to Lyon, from Milan to Split, from Bucharest to Madrid, from Vilnius to Split, from Split to Madrid, from Lyon to Bucharest, from Milan to Madrid, from Vilnius to Milan, from Lyon to Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Madrid.\n**Day 13-17:** Visit Madrid for 5 days.",
    "id": "trip_planning_example_646",
    "estimated_output_tokens": 1673,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Bucharest, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Lyon, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Bucharest, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 13 - 17).\n |- The departure day of Vilnius is Day 2. The arrival day of Madrid is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Lyon, Split] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 13 - 17).\n   |- The departure day of Milan is Day 5. The arrival day of Madrid is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Split] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 13 - 17).\n     |- The departure day of Split is Day 6. The arrival day of Madrid is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Vilnius, Milan, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Split to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 13 - 17).\n       |- The departure day of Lyon is Day 9. The arrival day of Madrid is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vilnius, Milan, Split, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Lyon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 13 - 17).\n         |- The departure day of Bucharest is Day 13. The arrival day of Madrid is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Milan, Split, Lyon, Bucharest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Bucharest to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vilnius, Milan, Split, Lyon, Bucharest, Madrid].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Madrid.\n**Day 13-17:** Visit Madrid for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Rome**Bucharest**Athens**Vilnius**Vienna",
    "ground_truth_durations": "4**4**3**3**2**3",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You plan to stay in Vilnius for 2 days. You want to spend 3 days in Bucharest. You want to spend 4 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 4. You want to spend 3 days in Vienna. You are going to attend a wedding in Vienna between day 12 and day 14. You would like to visit Rome for 4 days. From day 4 to day 7, there is a annual show you want to attend in Rome.\n\nHere are the cities that have direct flights:\nHamburg and Rome, Rome and Vienna, Athens and Vilnius, Hamburg and Vienna, Rome and Bucharest, Hamburg and Bucharest, Hamburg and Athens, Bucharest and Athens, Athens and Vienna, Rome and Athens, Bucharest and Vienna, Vilnius and Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You plan to stay in Vilnius for 2 days. You want to spend 3 days in Bucharest. You want to spend 4 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 4. You want to spend 3 days in Vienna. You are going to attend a wedding in Vienna between day 12 and day 14. You would like to visit Rome for 4 days. From day 4 to day 7, there is a annual show you want to attend in Rome.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Rome, from Rome to Vienna, from Athens to Vilnius, from Hamburg to Vienna, from Rome to Bucharest, from Hamburg to Bucharest, from Hamburg to Athens, from Bucharest to Athens, from Athens to Vienna, from Rome to Athens, from Bucharest to Vienna, from Vilnius to Vienna.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Bucharest.\n**Day 7-9:** Visit Bucharest for 3 days.\n**Day 9:** Fly from Bucharest to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.",
    "id": "trip_planning_example_647",
    "estimated_output_tokens": 2111,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 4 - 7.\n* City: Vienna, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 4 - 7).\n |- The departure day of Hamburg is Day 4. The arrival day of Rome is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Hamburg to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 12 - 14).\n   |- The departure day of Rome is Day 7. The arrival day of Vienna is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Bucharest] and explore these options in order.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 12 - 14).\n     |- The departure day of Athens is Day 9. The arrival day of Vienna is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Rome, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 12 - 14).\n       |- The departure day of Vilnius is Day 10. The arrival day of Vienna is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Rome, Athens, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Vilnius to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Athens to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 12 - 14).\n     |- The departure day of Bucharest is Day 9. The arrival day of Vienna is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Rome, Bucharest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Bucharest to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 12 - 14).\n       |- The departure day of Athens is Day 11. The arrival day of Vienna is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Rome, Bucharest, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Athens to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vienna (Day 12 - 14).\n         |- The departure day of Vilnius is Day 12. The arrival day of Vienna is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Rome, Bucharest, Athens, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Vilnius to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Hamburg, Rome, Bucharest, Athens, Vilnius, Vienna].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Bucharest.\n**Day 7-9:** Visit Bucharest for 3 days.\n**Day 9:** Fly from Bucharest to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Munich**Dubrovnik**Vienna**Warsaw**Bucharest",
    "ground_truth_durations": "2**4**5**5**4**5",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Munich",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. You want to spend 2 days in Edinburgh. You plan to stay in Munich for 4 days. You plan to stay in Dubrovnik for 5 days. You would like to visit Bucharest for 5 days. You would like to visit Warsaw for 4 days. You plan to visit relatives in Warsaw between day 13 and day 16.\n\nHere are the cities that have direct flights:\nVienna and Warsaw, Dubrovnik and Vienna, Munich and Warsaw, Munich and Bucharest, Warsaw and Bucharest, Munich and Dubrovnik, Vienna and Bucharest, Edinburgh and Munich, Munich and Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. You want to spend 2 days in Edinburgh. You plan to stay in Munich for 4 days. You plan to stay in Dubrovnik for 5 days. You would like to visit Bucharest for 5 days. You would like to visit Warsaw for 4 days. You plan to visit relatives in Warsaw between day 13 and day 16.\n\nHere are the cities that have direct flights:\nfrom Vienna to Warsaw, from Dubrovnik to Vienna, from Munich to Warsaw, from Munich to Bucharest, from Warsaw to Bucharest, from Munich to Dubrovnik, from Vienna to Bucharest, from Edinburgh to Munich, from Munich to Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Warsaw.\n**Day 13-16:** Visit Warsaw for 4 days.\n**Day 16:** Fly from Warsaw to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_648",
    "estimated_output_tokens": 2767,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Munich, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Munich, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Edinburgh, Munich, Dubrovnik, Bucharest] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 13 - 16).\n |- The departure day of Vienna is Day 5. The arrival day of Warsaw is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Munich, Dubrovnik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vienna to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 13 - 16).\n   |- The departure day of Bucharest is Day 9. The arrival day of Warsaw is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Munich, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Bucharest to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Bucharest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 13 - 16).\n |- The departure day of Edinburgh is Day 2. The arrival day of Warsaw is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Munich, Dubrovnik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 13 - 16).\n   |- The departure day of Munich is Day 5. The arrival day of Warsaw is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Bucharest] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 13 - 16).\n     |- The departure day of Vienna is Day 9. The arrival day of Warsaw is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Edinburgh, Munich, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Bucharest] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vienna to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vienna to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 13 - 16).\n       |- The departure day of Bucharest is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Edinburgh, Munich, Vienna, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Bucharest to Warsaw.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 13 - 16).\n     |- The departure day of Dubrovnik is Day 9. The arrival day of Warsaw is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Edinburgh, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Bucharest] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Dubrovnik to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 13 - 16).\n       |- The departure day of Vienna is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Edinburgh, Munich, Dubrovnik, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Edinburgh, Munich, Dubrovnik, Vienna, Warsaw].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Warsaw to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Edinburgh, Munich, Dubrovnik, Vienna, Warsaw, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Warsaw.\n**Day 13-16:** Visit Warsaw for 4 days.\n**Day 16:** Fly from Warsaw to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**London**Lisbon**Porto**Valencia**Athens",
    "ground_truth_durations": "5**5**4**4**3**5",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 17,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "London"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Porto",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You plan to stay in Reykjavik for 5 days. You want to spend 4 days in Porto. You would like to visit Lisbon for 4 days. You would like to meet your friends at Lisbon between day 9 and day 12 to tour together. You would like to visit London for 5 days. You want to meet a friend in London between day 5 and day 9. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 17 and day 21.\n\nHere are the cities that have direct flights:\nReykjavik and London, Lisbon and Valencia, from Valencia to Athens, from Reykjavik to Athens, London and Valencia, Reykjavik and Lisbon, Lisbon and Porto, London and Athens, Lisbon and Athens, London and Lisbon, Porto and Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You plan to stay in Reykjavik for 5 days. You want to spend 4 days in Porto. You would like to visit Lisbon for 4 days. You would like to meet your friends at Lisbon between day 9 and day 12 to tour together. You would like to visit London for 5 days. You want to meet a friend in London between day 5 and day 9. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 17 and day 21.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to London, from Lisbon to Valencia, from Valencia to Athens, from Reykjavik to Athens, from London to Valencia, from Reykjavik to Lisbon, from Lisbon to Porto, from London to Athens, from Lisbon to Athens, from London to Lisbon, from Porto to Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Athens.\n**Day 17-21:** Visit Athens for 5 days.",
    "id": "trip_planning_example_649",
    "estimated_output_tokens": 2091,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: London, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 9.\n* City: Lisbon, Fixed Schedule: Day 9 - 12.\n* City: Athens, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Porto] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 9).\n |- The departure day of Valencia is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 9).\n |- The departure day of Reykjavik is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Reykjavik to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 12).\n   |- The departure day of London is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Reykjavik, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from London to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 17 - 21).\n     |- The departure day of Lisbon is Day 12. The arrival day of Athens is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, London, Lisbon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Lisbon to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 17 - 21).\n       |- The departure day of Valencia is Day 14. The arrival day of Athens is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, London, Lisbon, Valencia].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Valencia to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Lisbon to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 17 - 21).\n       |- The departure day of Porto is Day 15. The arrival day of Athens is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Reykjavik, London, Lisbon, Porto].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Porto to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Athens (Day 17 - 21).\n         |- The departure day of Valencia is Day 17. The arrival day of Athens is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Reykjavik, London, Lisbon, Porto, Valencia].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Valencia to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Reykjavik, London, Lisbon, Porto, Valencia, Athens].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Athens.\n**Day 17-21:** Visit Athens for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**London**Istanbul**Prague**Riga**Manchester",
    "ground_truth_durations": "4**5**5**2**3**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 15,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Istanbul",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. From day 4 to day 8, there is a annual show you want to attend in London. You want to spend 5 days in Istanbul. You want to spend 4 days in Hamburg. You want to spend 2 days in Prague. You want to meet a friend in Prague between day 12 and day 13. You plan to stay in Riga for 3 days. You plan to stay in Manchester for 4 days. You have to attend a workshop in Manchester between day 15 and day 18.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, Hamburg and Istanbul, Istanbul and Manchester, Istanbul and Riga, London and Prague, London and Manchester, Prague and Manchester, Riga and Manchester, London and Istanbul, Prague and Riga, Hamburg and London, Hamburg and Manchester, Istanbul and Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. From day 4 to day 8, there is a annual show you want to attend in London. You want to spend 5 days in Istanbul. You want to spend 4 days in Hamburg. You want to spend 2 days in Prague. You want to meet a friend in Prague between day 12 and day 13. You plan to stay in Riga for 3 days. You plan to stay in Manchester for 4 days. You have to attend a workshop in Manchester between day 15 and day 18.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, from Hamburg to Istanbul, from Istanbul to Manchester, from Istanbul to Riga, from London to Prague, from London to Manchester, from Prague to Manchester, from Riga to Manchester, from London to Istanbul, from Prague to Riga, from Hamburg to London, from Hamburg to Manchester, from Istanbul to Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Riga.\n**Day 13-15:** Visit Riga for 3 days.\n**Day 15:** Fly from Riga to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_650",
    "estimated_output_tokens": 1611,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Istanbul, Duration: 5 days.\n* City: Hamburg, Duration: 4 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Riga, Duration: 3 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 8.\n* City: Prague, Fixed Schedule: Day 12 - 13.\n* City: Manchester, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Hamburg, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Hamburg, Riga] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Istanbul is Day 5. The arrival day of London is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Hamburg is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Hamburg to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 12 - 13).\n   |- The departure day of London is Day 8. The arrival day of Prague is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from London to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 12 - 13).\n     |- The departure day of Istanbul is Day 12. The arrival day of Prague is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Hamburg, London, Istanbul].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Istanbul to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 15 - 18).\n       |- The departure day of Prague is Day 13. The arrival day of Manchester is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Hamburg, London, Istanbul, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Prague to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 15 - 18).\n         |- The departure day of Riga is Day 15. The arrival day of Manchester is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Hamburg, London, Istanbul, Prague, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Hamburg, London, Istanbul, Prague, Riga, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Riga.\n**Day 13-15:** Visit Riga for 3 days.\n**Day 15:** Fly from Riga to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Paris**Florence**Vienna**Porto**Valencia",
    "ground_truth_durations": "4**4**5**3**2**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Valencia"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Vienna",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 5 days. You want to spend 4 days in Paris. You would like to visit Porto for 2 days. You plan to stay in Valencia for 3 days. You are going to attend a wedding in Valencia between day 14 and day 16. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 11 and day 13. You would like to visit Riga for 4 days. You would like to meet your friends at Riga between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nPorto and Valencia, Vienna and Porto, Paris and Valencia, Paris and Florence, Paris and Porto, Florence and Vienna, Riga and Vienna, Paris and Vienna, Riga and Paris, Vienna and Valencia.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 5 days. You want to spend 4 days in Paris. You would like to visit Porto for 2 days. You plan to stay in Valencia for 3 days. You are going to attend a wedding in Valencia between day 14 and day 16. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 11 and day 13. You would like to visit Riga for 4 days. You would like to meet your friends at Riga between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nfrom Porto to Valencia, from Vienna to Porto, from Paris to Valencia, from Paris to Florence, from Paris to Porto, from Florence to Vienna, from Riga to Vienna, from Paris to Vienna, from Riga to Paris, from Vienna to Valencia.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-11:** Visit Florence for 5 days.\n**Day 11:** Fly from Florence to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_651",
    "estimated_output_tokens": 1546,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 2 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 4.\n* City: Vienna, Fixed Schedule: Day 11 - 13.\n* City: Valencia, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Florence, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 11 - 13).\n |- The departure day of Riga is Day 4. The arrival day of Vienna is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Paris, Porto] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 11 - 13).\n   |- The departure day of Paris is Day 7. The arrival day of Vienna is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Porto] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 11 - 13).\n     |- The departure day of Florence is Day 11. The arrival day of Vienna is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Florence to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 14 - 16).\n       |- The departure day of Vienna is Day 13. The arrival day of Valencia is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Riga, Paris, Florence, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vienna to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 14 - 16).\n         |- The departure day of Porto is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Paris, Florence, Vienna, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Riga, Paris, Florence, Vienna, Porto, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-11:** Visit Florence for 5 days.\n**Day 11:** Fly from Florence to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Tallinn**Warsaw**Geneva**Madrid**Bucharest",
    "ground_truth_durations": "3**4**5**3**3**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Warsaw. You want to spend 3 days in Bucharest. You plan to stay in Madrid for 3 days. You have to attend a workshop in Madrid between day 12 and day 14. You want to spend 4 days in Tallinn. You want to meet a friend in Tallinn between day 3 and day 6. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 10 and day 12. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Warsaw, Tallinn and Warsaw, Istanbul and Madrid, Geneva and Madrid, Madrid and Bucharest, from Istanbul to Tallinn, Warsaw and Geneva, Istanbul and Bucharest, Istanbul and Geneva, Warsaw and Bucharest, Warsaw and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Warsaw. You want to spend 3 days in Bucharest. You plan to stay in Madrid for 3 days. You have to attend a workshop in Madrid between day 12 and day 14. You want to spend 4 days in Tallinn. You want to meet a friend in Tallinn between day 3 and day 6. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 10 and day 12. You want to spend 3 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Warsaw, from Tallinn to Warsaw, from Istanbul to Madrid, from Geneva to Madrid, from Madrid to Bucharest, from Istanbul to Tallinn, from Warsaw to Geneva, from Istanbul to Bucharest, from Istanbul to Geneva, from Warsaw to Bucharest, from Warsaw to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Tallinn.\n**Day 3-6:** Visit Tallinn for 4 days.\n**Day 6:** Fly from Tallinn to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Madrid.\n**Day 12-14:** Visit Madrid for 3 days.\n**Day 14:** Fly from Madrid to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_652",
    "estimated_output_tokens": 1844,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 3 - 6.\n* City: Geneva, Fixed Schedule: Day 10 - 12.\n* City: Madrid, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Bucharest, Istanbul] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 3 - 6).\n |- The departure day of Warsaw is Day 5. The arrival day of Tallinn is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 3 - 6).\n |- The departure day of Bucharest is Day 3. The arrival day of Tallinn is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 3 - 6).\n |- The departure day of Istanbul is Day 3. The arrival day of Tallinn is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 10 - 12).\n   |- The departure day of Tallinn is Day 6. The arrival day of Geneva is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Tallinn].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Tallinn to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 10 - 12).\n     |- The departure day of Warsaw is Day 10. The arrival day of Geneva is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Tallinn, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Warsaw to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 14).\n       |- The departure day of Geneva is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Tallinn, Warsaw, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Geneva to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Istanbul, Tallinn, Warsaw, Geneva, Madrid].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Madrid to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Tallinn, Warsaw, Geneva, Madrid, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Tallinn.\n**Day 3-6:** Visit Tallinn for 4 days.\n**Day 6:** Fly from Tallinn to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Madrid.\n**Day 12-14:** Visit Madrid for 3 days.\n**Day 14:** Fly from Madrid to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Milan**Helsinki**Venice**Hamburg**Bucharest",
    "ground_truth_durations": "2**5**4**5**5**3",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 5 days. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 1 and day 2. You would like to visit Bucharest for 3 days. You want to spend 4 days in Helsinki. You would like to meet your friends at Helsinki between day 6 and day 9 to tour together. You would like to visit Hamburg for 5 days. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nVenice and Hamburg, Milan and Helsinki, Stockholm and Milan, Stockholm and Helsinki, Hamburg and Bucharest, Stockholm and Hamburg, Helsinki and Hamburg, Milan and Hamburg, Helsinki and Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 5 days. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 1 and day 2. You would like to visit Bucharest for 3 days. You want to spend 4 days in Helsinki. You would like to meet your friends at Helsinki between day 6 and day 9 to tour together. You would like to visit Hamburg for 5 days. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Hamburg, from Milan to Helsinki, from Stockholm to Milan, from Stockholm to Helsinki, from Hamburg to Bucharest, from Stockholm to Hamburg, from Helsinki to Hamburg, from Milan to Hamburg, from Helsinki to Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Milan.\n**Day 2-6:** Visit Milan for 5 days.\n**Day 6:** Fly from Milan to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Hamburg.\n**Day 13-17:** Visit Hamburg for 5 days.\n**Day 17:** Fly from Hamburg to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_653",
    "estimated_output_tokens": 1932,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 5 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Bucharest, Duration: 3 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Hamburg, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Milan, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 9).\n |- The departure day of Stockholm is Day 2. The arrival day of Helsinki is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Hamburg, Venice] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 6 - 9).\n   |- The departure day of Milan is Day 6. The arrival day of Helsinki is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Milan to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Milan, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Venice] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Helsinki to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stockholm, Milan, Helsinki, Hamburg].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Venice] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stockholm, Milan, Helsinki, Hamburg, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Hamburg to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Helsinki to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stockholm, Milan, Helsinki, Venice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Venice to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Venice to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Stockholm, Milan, Helsinki, Venice, Hamburg].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Hamburg to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stockholm, Milan, Helsinki, Venice, Hamburg, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Milan.\n**Day 2-6:** Visit Milan for 5 days.\n**Day 6:** Fly from Milan to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Hamburg.\n**Day 13-17:** Visit Hamburg for 5 days.\n**Day 17:** Fly from Hamburg to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Brussels**Bucharest**Madrid**Split**Lyon",
    "ground_truth_durations": "5**5**4**2**3**3",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Split",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 3 days. You have to attend a workshop in Lyon between day 15 and day 17. You would like to visit Brussels for 5 days. During day 5 and day 9, you have to attend a conference in Brussels. You want to spend 4 days in Bucharest. You plan to stay in Zurich for 5 days. You would like to meet your friends at Zurich between day 1 and day 5 to tour together. You would like to visit Madrid for 2 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nZurich and Brussels, Brussels and Madrid, Madrid and Lyon, Zurich and Madrid, Madrid and Split, Zurich and Bucharest, Brussels and Lyon, Bucharest and Madrid, Zurich and Split, Bucharest and Lyon, Brussels and Bucharest, Split and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 3 days. You have to attend a workshop in Lyon between day 15 and day 17. You would like to visit Brussels for 5 days. During day 5 and day 9, you have to attend a conference in Brussels. You want to spend 4 days in Bucharest. You plan to stay in Zurich for 5 days. You would like to meet your friends at Zurich between day 1 and day 5 to tour together. You would like to visit Madrid for 2 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nfrom Zurich to Brussels, from Brussels to Madrid, from Madrid to Lyon, from Zurich to Madrid, from Madrid to Split, from Zurich to Bucharest, from Brussels to Lyon, from Bucharest to Madrid, from Zurich to Split, from Bucharest to Lyon, from Brussels to Bucharest, from Split to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_654",
    "estimated_output_tokens": 1508,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Bucharest, Duration: 4 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 5.\n* City: Brussels, Fixed Schedule: Day 5 - 9.\n* City: Lyon, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Madrid, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Zurich is Day 5. The arrival day of Brussels is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Zurich to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 15 - 17).\n   |- The departure day of Brussels is Day 9. The arrival day of Lyon is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Zurich, Brussels].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Madrid, Split] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Brussels to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 15 - 17).\n     |- The departure day of Bucharest is Day 12. The arrival day of Lyon is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Zurich, Brussels, Bucharest].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Split] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Bucharest to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 15 - 17).\n       |- The departure day of Madrid is Day 13. The arrival day of Lyon is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Zurich, Brussels, Bucharest, Madrid].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Madrid to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 15 - 17).\n         |- The departure day of Split is Day 15. The arrival day of Lyon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Zurich, Brussels, Bucharest, Madrid, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Zurich, Brussels, Bucharest, Madrid, Split, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Manchester**Venice**Berlin**Vienna**Reykjavik",
    "ground_truth_durations": "2**3**2**3**3**3",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You plan to stay in Berlin for 3 days. You would like to meet your friends at Berlin between day 5 and day 7 to tour together. You would like to visit Vienna for 3 days. You are going to attend a wedding in Vienna between day 7 and day 9. You would like to visit Reykjavik for 3 days. You want to spend 3 days in Manchester. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nVenice and Vienna, Berlin and Vienna, Manchester and Vienna, Manchester and Berlin, Riga and Berlin, Riga and Vienna, Riga and Manchester, Berlin and Reykjavik, Venice and Berlin, Vienna and Reykjavik, Manchester and Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 2 days. During day 4 and day 5, you have to attend a conference in Venice. You plan to stay in Berlin for 3 days. You would like to meet your friends at Berlin between day 5 and day 7 to tour together. You would like to visit Vienna for 3 days. You are going to attend a wedding in Vienna between day 7 and day 9. You would like to visit Reykjavik for 3 days. You want to spend 3 days in Manchester. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Venice to Vienna, from Berlin to Vienna, from Manchester to Vienna, from Manchester to Berlin, from Riga to Berlin, from Riga to Vienna, from Riga to Manchester, from Berlin to Reykjavik, from Venice to Berlin, from Vienna to Reykjavik, from Manchester to Venice.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Manchester.\n**Day 2-4:** Visit Manchester for 3 days.\n**Day 4:** Fly from Manchester to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_655",
    "estimated_output_tokens": 2160,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Berlin, Fixed Schedule: Day 5 - 7.\n* City: Vienna, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Riga] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Reykjavik is Day 3. The arrival day of Venice is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Manchester is Day 3. The arrival day of Venice is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Riga] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Manchester to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Riga is Day 2. The arrival day of Venice is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 4 - 5).\n   |- The departure day of Manchester is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Manchester].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Manchester to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 7).\n     |- The departure day of Venice is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Manchester, Venice].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Venice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 7 - 9).\n       |- The departure day of Berlin is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Riga, Manchester, Venice, Berlin].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Berlin to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Riga, Manchester, Venice, Berlin, Vienna].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Vienna to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Riga, Manchester, Venice, Berlin, Vienna, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Manchester.\n**Day 2-4:** Visit Manchester for 3 days.\n**Day 4:** Fly from Manchester to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Istanbul**Oslo**Reykjavik**Stuttgart**Edinburgh",
    "ground_truth_durations": "5**4**2**5**3**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You plan to stay in Istanbul for 4 days. You would like to meet your friends at Istanbul between day 5 and day 8 to tour together. You would like to visit Edinburgh for 5 days. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 8 and day 9. You want to spend 3 days in Stuttgart. You want to spend 5 days in Bucharest.\n\nHere are the cities that have direct flights:\nBucharest and Oslo, Istanbul and Oslo, from Reykjavik to Stuttgart, Bucharest and Istanbul, Stuttgart and Edinburgh, Istanbul and Edinburgh, Oslo and Reykjavik, Istanbul and Stuttgart, Oslo and Edinburgh.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You plan to stay in Istanbul for 4 days. You would like to meet your friends at Istanbul between day 5 and day 8 to tour together. You would like to visit Edinburgh for 5 days. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 8 and day 9. You want to spend 3 days in Stuttgart. You want to spend 5 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Oslo, from Istanbul to Oslo, from Reykjavik to Stuttgart, from Bucharest to Istanbul, from Stuttgart to Edinburgh, from Istanbul to Edinburgh, from Oslo to Reykjavik, from Istanbul to Stuttgart, from Oslo to Edinburgh.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.\n**Day 15:** Fly from Stuttgart to Edinburgh.\n**Day 15-19:** Visit Edinburgh for 5 days.",
    "id": "trip_planning_example_656",
    "estimated_output_tokens": 2397,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Edinburgh, Duration: 5 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Stuttgart, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 8.\n* City: Oslo, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Edinburgh, Stuttgart, Bucharest] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Reykjavik is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Edinburgh is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Stuttgart is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Edinburgh, Bucharest] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 8).\n   |- The departure day of Edinburgh is Day 7. The arrival day of Istanbul is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Bucharest is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 8 - 9).\n   |- The departure day of Istanbul is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Istanbul to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Istanbul, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Edinburgh, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Istanbul, Oslo, Reykjavik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Reykjavik to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Reykjavik to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Bucharest, Istanbul, Oslo, Reykjavik, Stuttgart].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Stuttgart to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Istanbul, Oslo, Reykjavik, Stuttgart, Edinburgh].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.\n**Day 15:** Fly from Stuttgart to Edinburgh.\n**Day 15-19:** Visit Edinburgh for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Naples**Manchester**Oslo**Vilnius**Frankfurt",
    "ground_truth_durations": "4**4**4**3**2**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Valencia",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. From day 13 to day 16, there is a annual show you want to attend in Frankfurt. You want to spend 4 days in Manchester. You would like to visit Valencia for 4 days. You want to spend 4 days in Naples. You plan to stay in Oslo for 3 days. You plan to stay in Vilnius for 2 days. You are going to attend a wedding in Vilnius between day 12 and day 13.\n\nHere are the cities that have direct flights:\nValencia and Frankfurt, Manchester and Frankfurt, Naples and Manchester, Naples and Frankfurt, Naples and Oslo, Oslo and Frankfurt, Vilnius and Frankfurt, Oslo and Vilnius, Manchester and Oslo, Valencia and Naples.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. From day 13 to day 16, there is a annual show you want to attend in Frankfurt. You want to spend 4 days in Manchester. You would like to visit Valencia for 4 days. You want to spend 4 days in Naples. You plan to stay in Oslo for 3 days. You plan to stay in Vilnius for 2 days. You are going to attend a wedding in Vilnius between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Valencia to Frankfurt, from Manchester to Frankfurt, from Naples to Manchester, from Naples to Frankfurt, from Naples to Oslo, from Oslo to Frankfurt, from Vilnius to Frankfurt, from Oslo to Vilnius, from Manchester to Oslo, from Valencia to Naples.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.\n**Day 13:** Fly from Vilnius to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_657",
    "estimated_output_tokens": 2169,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Manchester, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 12 - 13.\n* City: Frankfurt, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Valencia, Naples, Oslo] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 12 - 13).\n |- The departure day of Manchester is Day 4. The arrival day of Vilnius is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Oslo] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Manchester to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 12 - 13).\n   |- The departure day of Oslo is Day 6. The arrival day of Vilnius is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Naples] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 12 - 13).\n |- The departure day of Valencia is Day 4. The arrival day of Vilnius is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Naples, Oslo] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 12 - 13).\n   |- The departure day of Naples is Day 7. The arrival day of Vilnius is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Oslo] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Naples to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 12 - 13).\n     |- The departure day of Manchester is Day 10. The arrival day of Vilnius is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Valencia, Naples, Manchester].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Manchester to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 12 - 13).\n       |- The departure day of Oslo is Day 12. The arrival day of Vilnius is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Naples, Manchester, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 13 - 16).\n         |- The departure day of Vilnius is Day 13. The arrival day of Frankfurt is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Naples, Manchester, Oslo, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Vilnius to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Naples, Manchester, Oslo, Vilnius, Frankfurt].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.\n**Day 13:** Fly from Vilnius to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Paris**Warsaw**Copenhagen**Santorini",
    "ground_truth_durations": "2**3**4**3**4**3",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Copenhagen"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 2 days. You plan to stay in Santorini for 3 days. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 4 and day 7. You plan to stay in Hamburg for 3 days. From day 2 to day 4, there is a annual show you want to attend in Hamburg. You want to spend 4 days in Copenhagen. You want to spend 3 days in Warsaw.\n\nHere are the cities that have direct flights:\nWarsaw and Copenhagen, Paris and Warsaw, Paris and Copenhagen, Hamburg and Paris, Hamburg and Warsaw, Salzburg and Hamburg, Hamburg and Copenhagen, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 2 days. You plan to stay in Santorini for 3 days. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 4 and day 7. You plan to stay in Hamburg for 3 days. From day 2 to day 4, there is a annual show you want to attend in Hamburg. You want to spend 4 days in Copenhagen. You want to spend 3 days in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Copenhagen, from Paris to Warsaw, from Paris to Copenhagen, from Hamburg to Paris, from Hamburg to Warsaw, from Salzburg to Hamburg, from Hamburg to Copenhagen, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-4:** Visit Hamburg for 3 days.\n**Day 4:** Fly from Hamburg to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Copenhagen.\n**Day 9-12:** Visit Copenhagen for 4 days.\n**Day 12:** Fly from Copenhagen to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_658",
    "estimated_output_tokens": 1957,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Copenhagen, Duration: 4 days.\n* City: Warsaw, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 2 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Warsaw, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Santorini, Copenhagen, Warsaw] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 4).\n |- The departure day of Salzburg is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 4 - 7).\n   |- The departure day of Hamburg is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Hamburg to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Salzburg, Hamburg, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen, Warsaw] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Paris to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Paris to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Hamburg, Paris, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Salzburg, Hamburg, Paris, Copenhagen, Santorini].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Santorini to Warsaw.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Warsaw.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Paris to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Salzburg, Hamburg, Paris, Warsaw].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Warsaw to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Warsaw to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Salzburg, Hamburg, Paris, Warsaw, Copenhagen].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Copenhagen to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Salzburg, Hamburg, Paris, Warsaw, Copenhagen, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-4:** Visit Hamburg for 3 days.\n**Day 4:** Fly from Hamburg to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Warsaw.\n**Day 7-9:** Visit Warsaw for 3 days.\n**Day 9:** Fly from Warsaw to Copenhagen.\n**Day 9-12:** Visit Copenhagen for 4 days.\n**Day 12:** Fly from Copenhagen to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Rome**Oslo**Hamburg**Budapest**Mykonos",
    "ground_truth_durations": "2**3**5**3**5**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "Hamburg",
        "Budapest"
      ],
      [
        "Rome",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You want to spend 3 days in Rome. From day 2 to day 4, there is a annual show you want to attend in Rome. You want to spend 2 days in Naples. You want to meet a friend in Naples between day 1 and day 2. You want to spend 3 days in Hamburg. During day 8 and day 10, you have to attend a conference in Hamburg. You would like to visit Budapest for 5 days. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nRome and Hamburg, Rome and Mykonos, Naples and Rome, Budapest and Mykonos, Rome and Budapest, Oslo and Budapest, Oslo and Hamburg, Naples and Oslo, Naples and Mykonos, Naples and Budapest, Hamburg and Budapest, Rome and Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You want to spend 3 days in Rome. From day 2 to day 4, there is a annual show you want to attend in Rome. You want to spend 2 days in Naples. You want to meet a friend in Naples between day 1 and day 2. You want to spend 3 days in Hamburg. During day 8 and day 10, you have to attend a conference in Hamburg. You would like to visit Budapest for 5 days. You would like to visit Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Hamburg, from Rome to Mykonos, from Naples to Rome, from Budapest to Mykonos, from Rome to Budapest, from Oslo to Budapest, from Oslo to Hamburg, from Naples to Oslo, from Naples to Mykonos, from Naples to Budapest, from Hamburg to Budapest, from Rome to Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Budapest.\n**Day 10-14:** Visit Budapest for 5 days.\n**Day 14:** Fly from Budapest to Mykonos.\n**Day 14-18:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_659",
    "estimated_output_tokens": 1443,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Budapest, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 2 - 4.\n* City: Hamburg, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Budapest, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Naples is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 8 - 10).\n   |- The departure day of Rome is Day 4. The arrival day of Hamburg is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Budapest, Mykonos] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Rome to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 8 - 10).\n     |- The departure day of Oslo is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Rome, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Oslo to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Naples, Rome, Oslo, Hamburg].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Mykonos] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Hamburg to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Naples, Rome, Oslo, Hamburg, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Budapest to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Naples, Rome, Oslo, Hamburg, Budapest, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Budapest.\n**Day 10-14:** Visit Budapest for 5 days.\n**Day 14:** Fly from Budapest to Mykonos.\n**Day 14-18:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Manchester**Rome**Riga**Bucharest**Santorini",
    "ground_truth_durations": "2**3**5**4**5**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Manchester",
        "Rome"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Rome",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. From day 11 to day 15, there is a annual show you want to attend in Bucharest. You plan to stay in Krakow for 2 days. You want to meet a friend in Krakow between day 1 and day 2. You plan to stay in Manchester for 3 days. You would like to visit Rome for 5 days. You plan to stay in Santorini for 5 days. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 8 and day 11.\n\nHere are the cities that have direct flights:\nRiga and Bucharest, Manchester and Santorini, Manchester and Rome, Bucharest and Santorini, Rome and Santorini, Manchester and Riga, from Rome to Riga, Manchester and Bucharest, Krakow and Manchester, Rome and Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. From day 11 to day 15, there is a annual show you want to attend in Bucharest. You plan to stay in Krakow for 2 days. You want to meet a friend in Krakow between day 1 and day 2. You plan to stay in Manchester for 3 days. You would like to visit Rome for 5 days. You plan to stay in Santorini for 5 days. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 8 and day 11.\n\nHere are the cities that have direct flights:\nfrom Riga to Bucharest, from Manchester to Santorini, from Manchester to Rome, from Bucharest to Santorini, from Rome to Santorini, from Manchester to Riga, from Rome to Riga, from Manchester to Bucharest, from Krakow to Manchester, from Rome to Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Manchester.\n**Day 2-4:** Visit Manchester for 3 days.\n**Day 4:** Fly from Manchester to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_660",
    "estimated_output_tokens": 1519,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Manchester, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 2.\n* City: Riga, Fixed Schedule: Day 8 - 11.\n* City: Bucharest, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 11).\n |- The departure day of Krakow is Day 2. The arrival day of Riga is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Rome, Santorini] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 8 - 11).\n   |- The departure day of Manchester is Day 4. The arrival day of Riga is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Manchester].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Santorini] and explore these options in order.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Manchester to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 8 - 11).\n     |- The departure day of Rome is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Manchester, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Rome to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 11 - 15).\n       |- The departure day of Riga is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Manchester, Rome, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Krakow, Manchester, Rome, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Krakow, Manchester, Rome, Riga, Bucharest, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Manchester.\n**Day 2-4:** Visit Manchester for 3 days.\n**Day 4:** Fly from Manchester to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Manchester**Krakow**Vilnius**Vienna**Reykjavik",
    "ground_truth_durations": "5**4**2**4**5**5",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. From day 12 to day 16, there is a annual show you want to attend in Vienna. You want to spend 2 days in Krakow. You would like to visit Manchester for 4 days. You want to spend 4 days in Vilnius. You have to attend a workshop in Vilnius between day 9 and day 12. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 1 and day 5. You plan to stay in Reykjavik for 5 days.\n\nHere are the cities that have direct flights:\nVienna and Reykjavik, Manchester and Krakow, Seville and Vienna, Manchester and Vienna, Vilnius and Vienna, Seville and Manchester, from Krakow to Vilnius, Krakow and Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vienna. From day 12 to day 16, there is a annual show you want to attend in Vienna. You want to spend 2 days in Krakow. You would like to visit Manchester for 4 days. You want to spend 4 days in Vilnius. You have to attend a workshop in Vilnius between day 9 and day 12. You plan to stay in Seville for 5 days. You want to meet a friend in Seville between day 1 and day 5. You plan to stay in Reykjavik for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Reykjavik, from Manchester to Krakow, from Seville to Vienna, from Manchester to Vienna, from Vilnius to Vienna, from Seville to Manchester, from Krakow to Vilnius, from Krakow to Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_661",
    "estimated_output_tokens": 1594,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Krakow, Duration: 2 days.\n* City: Manchester, Duration: 4 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 9 - 12.\n* City: Vienna, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Manchester, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 12).\n |- The departure day of Seville is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Manchester, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 12).\n   |- The departure day of Manchester is Day 8. The arrival day of Vilnius is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Seville, Manchester].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Manchester to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 12).\n     |- The departure day of Krakow is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Manchester, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 12 - 16).\n       |- The departure day of Vilnius is Day 12. The arrival day of Vienna is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Manchester, Krakow, Vilnius].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vilnius to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Manchester, Krakow, Vilnius, Vienna].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Vienna to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Seville, Manchester, Krakow, Vilnius, Vienna, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Dubrovnik**Istanbul**Riga**Warsaw**Split",
    "ground_truth_durations": "3**5**2**4**3**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You plan to stay in Split for 2 days. You plan to stay in Warsaw for 3 days. You plan to visit relatives in Warsaw between day 11 and day 13. You plan to stay in Istanbul for 2 days. You would like to visit Frankfurt for 3 days. You want to spend 5 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 3 and day 7.\n\nHere are the cities that have direct flights:\nIstanbul and Warsaw, Warsaw and Split, Frankfurt and Riga, Istanbul and Riga, Riga and Warsaw, Frankfurt and Split, Frankfurt and Warsaw, Frankfurt and Istanbul, from Dubrovnik to Istanbul, Frankfurt and Dubrovnik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You plan to stay in Split for 2 days. You plan to stay in Warsaw for 3 days. You plan to visit relatives in Warsaw between day 11 and day 13. You plan to stay in Istanbul for 2 days. You would like to visit Frankfurt for 3 days. You want to spend 5 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 3 and day 7.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Warsaw, from Warsaw to Split, from Frankfurt to Riga, from Istanbul to Riga, from Riga to Warsaw, from Frankfurt to Split, from Frankfurt to Warsaw, from Frankfurt to Istanbul, from Dubrovnik to Istanbul, from Frankfurt to Dubrovnik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Dubrovnik.\n**Day 3-7:** Visit Dubrovnik for 5 days.\n**Day 7:** Fly from Dubrovnik to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Warsaw.\n**Day 11-13:** Visit Warsaw for 3 days.\n**Day 13:** Fly from Warsaw to Split.\n**Day 13-14:** Visit Split for 2 days.",
    "id": "trip_planning_example_662",
    "estimated_output_tokens": 2473,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Istanbul, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 3 - 7.\n* City: Warsaw, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Split, Istanbul, Frankfurt] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 7).\n |- The departure day of Riga is Day 4. The arrival day of Dubrovnik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 7).\n |- The departure day of Split is Day 2. The arrival day of Dubrovnik is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Istanbul, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 7).\n |- The departure day of Istanbul is Day 2. The arrival day of Dubrovnik is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Split, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Dubrovnik (Day 3 - 7).\n   |- The departure day of Riga is Day 5. The arrival day of Dubrovnik is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 7).\n |- The departure day of Frankfurt is Day 3. The arrival day of Dubrovnik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 11 - 13).\n   |- The departure day of Dubrovnik is Day 7. The arrival day of Warsaw is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Split, Istanbul] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dubrovnik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dubrovnik to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dubrovnik to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 11 - 13).\n     |- The departure day of Istanbul is Day 8. The arrival day of Warsaw is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Dubrovnik, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Split] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 11 - 13).\n       |- The departure day of Riga is Day 11. The arrival day of Warsaw is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Dubrovnik, Istanbul, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Dubrovnik, Istanbul, Riga, Warsaw].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Warsaw to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Frankfurt, Dubrovnik, Istanbul, Riga, Warsaw, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Dubrovnik.\n**Day 3-7:** Visit Dubrovnik for 5 days.\n**Day 7:** Fly from Dubrovnik to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Warsaw.\n**Day 11-13:** Visit Warsaw for 3 days.\n**Day 13:** Fly from Warsaw to Split.\n**Day 13-14:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lyon**Rome**Reykjavik**Helsinki**Tallinn",
    "ground_truth_durations": "3**4**5**5**4**3",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Rome"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 3 days. You would like to meet your friends at Tallinn between day 17 and day 19 to tour together. You plan to stay in Rome for 5 days. You plan to stay in Helsinki for 4 days. You would like to visit Lyon for 4 days. You want to meet a friend in Lyon between day 3 and day 6. You plan to stay in Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 10 and day 14. You want to spend 3 days in Bucharest.\n\nHere are the cities that have direct flights:\nLyon and Rome, Helsinki and Tallinn, Rome and Reykjavik, Bucharest and Lyon, Reykjavik and Helsinki, Rome and Helsinki, Bucharest and Rome.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 3 days. You would like to meet your friends at Tallinn between day 17 and day 19 to tour together. You plan to stay in Rome for 5 days. You plan to stay in Helsinki for 4 days. You would like to visit Lyon for 4 days. You want to meet a friend in Lyon between day 3 and day 6. You plan to stay in Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 10 and day 14. You want to spend 3 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Lyon to Rome, from Helsinki to Tallinn, from Rome to Reykjavik, from Bucharest to Lyon, from Reykjavik to Helsinki, from Rome to Helsinki, from Bucharest to Rome.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Tallinn.\n**Day 17-19:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_663",
    "estimated_output_tokens": 1786,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Rome, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Bucharest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 3 - 6.\n* City: Reykjavik, Fixed Schedule: Day 10 - 14.\n* City: Tallinn, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Helsinki, Bucharest] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Helsinki is Day 4. The arrival day of Lyon is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Bucharest is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 10 - 14).\n   |- The departure day of Lyon is Day 6. The arrival day of Reykjavik is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Helsinki] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lyon to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 10 - 14).\n     |- The departure day of Rome is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Lyon, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 17 - 19).\n       |- The departure day of Reykjavik is Day 14. The arrival day of Tallinn is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Bucharest, Lyon, Rome, Reykjavik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 17 - 19).\n         |- The departure day of Helsinki is Day 17. The arrival day of Tallinn is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Bucharest, Lyon, Rome, Reykjavik, Helsinki].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Helsinki to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Lyon, Rome, Reykjavik, Helsinki, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Tallinn.\n**Day 17-19:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Munich**Seville**Milan**Stockholm**Tallinn",
    "ground_truth_durations": "4**5**5**2**5**2",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Seville",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 2 days. You plan to stay in Bucharest for 4 days. You plan to visit relatives in Bucharest between day 1 and day 4. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 8 and day 12 to tour together. You would like to visit Stockholm for 5 days. You plan to stay in Munich for 5 days. You are going to attend a wedding in Munich between day 4 and day 8. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nMilan and Stockholm, Munich and Stockholm, Bucharest and Munich, Munich and Seville, Stockholm and Tallinn, Munich and Milan, Munich and Tallinn, Seville and Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 2 days. You plan to stay in Bucharest for 4 days. You plan to visit relatives in Bucharest between day 1 and day 4. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 8 and day 12 to tour together. You would like to visit Stockholm for 5 days. You plan to stay in Munich for 5 days. You are going to attend a wedding in Munich between day 4 and day 8. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Stockholm, from Munich to Stockholm, from Bucharest to Munich, from Munich to Seville, from Stockholm to Tallinn, from Munich to Milan, from Munich to Tallinn, from Seville to Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Stockholm.\n**Day 13-17:** Visit Stockholm for 5 days.\n**Day 17:** Fly from Stockholm to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_664",
    "estimated_output_tokens": 1566,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Stockholm, Duration: 5 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 8.\n* City: Seville, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 8).\n |- The departure day of Bucharest is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Bucharest to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 8 - 12).\n   |- The departure day of Munich is Day 8. The arrival day of Seville is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Bucharest, Munich, Seville].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Stockholm, Milan] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Seville to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Seville to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Seville to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Munich, Seville, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Stockholm] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Milan to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Milan to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Bucharest, Munich, Seville, Milan, Stockholm].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Stockholm to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Munich, Seville, Milan, Stockholm, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Stockholm.\n**Day 13-17:** Visit Stockholm for 5 days.\n**Day 17:** Fly from Stockholm to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Stuttgart**London**Munich**Oslo**Riga",
    "ground_truth_durations": "2**2**5**2**2**2",
    "num_cities": 6,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "London"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "London",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 5 days in London. You want to meet a friend in London between day 3 and day 7. You would like to visit Oslo for 2 days. You want to spend 2 days in Munich. You plan to visit relatives in Munich between day 7 and day 8. You want to spend 2 days in Krakow. You plan to stay in Stuttgart for 2 days. During day 2 and day 3, you have to attend a conference in Stuttgart. You plan to stay in Riga for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and London, Krakow and Oslo, Krakow and London, from Riga to Munich, Krakow and Munich, Munich and Oslo, London and Oslo, Krakow and Stuttgart, Oslo and Riga, London and Munich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 5 days in London. You want to meet a friend in London between day 3 and day 7. You would like to visit Oslo for 2 days. You want to spend 2 days in Munich. You plan to visit relatives in Munich between day 7 and day 8. You want to spend 2 days in Krakow. You plan to stay in Stuttgart for 2 days. During day 2 and day 3, you have to attend a conference in Stuttgart. You plan to stay in Riga for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to London, from Krakow to Oslo, from Krakow to London, from Riga to Munich, from Krakow to Munich, from Munich to Oslo, from London to Oslo, from Krakow to Stuttgart, from Oslo to Riga, from London to Munich.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 10 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Stuttgart.\n**Day 2-3:** Visit Stuttgart for 2 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Munich.\n**Day 7-8:** Visit Munich for 2 days.\n**Day 8:** Fly from Munich to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Riga.\n**Day 9-10:** Visit Riga for 2 days.",
    "id": "trip_planning_example_665",
    "estimated_output_tokens": 1685,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Oslo, Duration: 2 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Krakow, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 2 - 3.\n* City: London, Fixed Schedule: Day 3 - 7.\n* City: Munich, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Krakow, Riga] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 3).\n |- The departure day of Oslo is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 3).\n |- The departure day of Krakow is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 3 - 7).\n   |- The departure day of Stuttgart is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Krakow, Stuttgart].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n     |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Stuttgart to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 7 - 8).\n     |- The departure day of London is Day 7. The arrival day of Munich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Stuttgart, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from London to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Krakow, Stuttgart, London, Munich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Riga] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Munich to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Krakow, Stuttgart, London, Munich, Oslo].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Oslo to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Krakow, Stuttgart, London, Munich, Oslo, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Stuttgart.\n**Day 2-3:** Visit Stuttgart for 2 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Munich.\n**Day 7-8:** Visit Munich for 2 days.\n**Day 8:** Fly from Munich to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**London**Vienna**Valencia**Zurich**Tallinn",
    "ground_truth_durations": "3**5**5**2**3**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "London"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You are going to attend a wedding in Milan between day 1 and day 3. You plan to stay in Vienna for 5 days. You would like to meet your friends at Vienna between day 7 and day 11 to tour together. You plan to stay in Tallinn for 5 days. You would like to visit London for 5 days. You would like to visit Valencia for 2 days. You plan to visit relatives in Valencia between day 11 and day 12. You would like to visit Zurich for 3 days.\n\nHere are the cities that have direct flights:\nMilan and London, Valencia and Zurich, London and Vienna, Milan and Zurich, Vienna and Valencia, Zurich and Tallinn, Milan and Vienna, Milan and Valencia, Vienna and Zurich, London and Valencia, London and Zurich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You are going to attend a wedding in Milan between day 1 and day 3. You plan to stay in Vienna for 5 days. You would like to meet your friends at Vienna between day 7 and day 11 to tour together. You plan to stay in Tallinn for 5 days. You would like to visit London for 5 days. You would like to visit Valencia for 2 days. You plan to visit relatives in Valencia between day 11 and day 12. You would like to visit Zurich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Milan to London, from Valencia to Zurich, from London to Vienna, from Milan to Zurich, from Vienna to Valencia, from Zurich to Tallinn, from Milan to Vienna, from Milan to Valencia, from Vienna to Zurich, from London to Valencia, from London to Zurich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_666",
    "estimated_output_tokens": 1523,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Zurich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Fixed Schedule: Day 7 - 11.\n* City: Valencia, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 7 - 11).\n |- The departure day of Milan is Day 3. The arrival day of Vienna is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, London, Zurich] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 7 - 11).\n   |- The departure day of London is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 11 - 12).\n     |- The departure day of Vienna is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Milan, London, Vienna].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Vienna to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Milan, London, Vienna, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Valencia to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, London, Vienna, Valencia, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Zurich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Milan, London, Vienna, Valencia, Zurich, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Milan**Helsinki**Naples**Venice**Lyon",
    "ground_truth_durations": "3**2**2**3**4**4",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Milan",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You want to spend 4 days in Venice. You plan to stay in Helsinki for 2 days. During day 4 and day 5, you have to attend a conference in Helsinki. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 3 and day 4. You plan to stay in Prague for 3 days. From day 1 to day 3, there is a annual show you want to attend in Prague. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Naples, Milan and Helsinki, Prague and Milan, Venice and Lyon, Helsinki and Venice, Prague and Lyon, Naples and Venice, Prague and Helsinki, Milan and Naples.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You want to spend 4 days in Venice. You plan to stay in Helsinki for 2 days. During day 4 and day 5, you have to attend a conference in Helsinki. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 3 and day 4. You plan to stay in Prague for 3 days. From day 1 to day 3, there is a annual show you want to attend in Prague. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Naples, from Milan to Helsinki, from Prague to Milan, from Venice to Lyon, from Helsinki to Venice, from Prague to Lyon, from Naples to Venice, from Prague to Helsinki, from Milan to Naples.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-10:** Visit Venice for 4 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_667",
    "estimated_output_tokens": 1918,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 3 - 4.\n* City: Helsinki, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 4).\n |- The departure day of Prague is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 4 - 5).\n   |- The departure day of Milan is Day 4. The arrival day of Helsinki is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Prague, Milan, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Venice, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Helsinki to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Helsinki to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Prague, Milan, Helsinki, Venice].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Naples] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Venice to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Prague, Milan, Helsinki, Venice, Lyon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Lyon to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Venice to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Helsinki to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Prague, Milan, Helsinki, Naples].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Venice] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Naples to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Naples to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Prague, Milan, Helsinki, Naples, Venice].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Venice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Prague, Milan, Helsinki, Naples, Venice, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-10:** Visit Venice for 4 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Reykjavik**Copenhagen**Riga**Bucharest**Madrid",
    "ground_truth_durations": "5**2**5**5**2**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. From day 10 to day 14, there is a annual show you want to attend in Riga. You want to spend 2 days in Bucharest. You would like to visit Budapest for 5 days. You want to spend 2 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 5 and day 6. You want to spend 5 days in Copenhagen. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nBudapest and Madrid, Bucharest and Madrid, Copenhagen and Bucharest, from Reykjavik to Madrid, Budapest and Reykjavik, Reykjavik and Copenhagen, Budapest and Bucharest, Riga and Bucharest, Budapest and Copenhagen, Copenhagen and Madrid, Copenhagen and Riga.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. From day 10 to day 14, there is a annual show you want to attend in Riga. You want to spend 2 days in Bucharest. You would like to visit Budapest for 5 days. You want to spend 2 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 5 and day 6. You want to spend 5 days in Copenhagen. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Madrid, from Bucharest to Madrid, from Copenhagen to Bucharest, from Reykjavik to Madrid, from Budapest to Reykjavik, from Reykjavik to Copenhagen, from Budapest to Bucharest, from Riga to Bucharest, from Budapest to Copenhagen, from Copenhagen to Madrid, from Copenhagen to Riga.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Madrid.\n**Day 15-18:** Visit Madrid for 4 days.",
    "id": "trip_planning_example_668",
    "estimated_output_tokens": 2124,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Bucharest, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Copenhagen, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 6.\n* City: Riga, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Budapest, Copenhagen, Madrid] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Bucharest is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Copenhagen, Madrid] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 6).\n   |- The departure day of Madrid is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Budapest is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Budapest to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 14).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Riga is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen, Madrid] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Reykjavik to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 10 - 14).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Reykjavik, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Budapest, Reykjavik, Copenhagen, Riga].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Madrid] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Budapest, Reykjavik, Copenhagen, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Bucharest to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Budapest, Reykjavik, Copenhagen, Riga, Bucharest, Madrid].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Madrid.\n**Day 15-18:** Visit Madrid for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Split**Barcelona**Valencia**Vienna**Warsaw",
    "ground_truth_durations": "5**3**2**2**3**4",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You have to attend a workshop in Helsinki between day 1 and day 5. You plan to stay in Valencia for 2 days. You would like to visit Split for 3 days. You plan to stay in Warsaw for 4 days. From day 11 to day 14, there is a annual show you want to attend in Warsaw. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 9 and day 11. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nValencia and Warsaw, Barcelona and Warsaw, Barcelona and Valencia, Barcelona and Vienna, Split and Vienna, Helsinki and Vienna, Split and Barcelona, Helsinki and Warsaw, Valencia and Vienna, Split and Warsaw, Vienna and Warsaw, Helsinki and Barcelona, Helsinki and Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You have to attend a workshop in Helsinki between day 1 and day 5. You plan to stay in Valencia for 2 days. You would like to visit Split for 3 days. You plan to stay in Warsaw for 4 days. From day 11 to day 14, there is a annual show you want to attend in Warsaw. You plan to stay in Vienna for 3 days. You want to meet a friend in Vienna between day 9 and day 11. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Warsaw, from Barcelona to Warsaw, from Barcelona to Valencia, from Barcelona to Vienna, from Split to Vienna, from Helsinki to Vienna, from Split to Barcelona, from Helsinki to Warsaw, from Valencia to Vienna, from Split to Warsaw, from Vienna to Warsaw, from Helsinki to Barcelona, from Helsinki to Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_669",
    "estimated_output_tokens": 1581,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Fixed Schedule: Day 9 - 11.\n* City: Warsaw, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 9 - 11).\n |- The departure day of Helsinki is Day 5. The arrival day of Vienna is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Split, Barcelona] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Helsinki to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 9 - 11).\n   |- The departure day of Split is Day 7. The arrival day of Vienna is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Barcelona] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 9 - 11).\n     |- The departure day of Barcelona is Day 8. The arrival day of Vienna is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Split, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vienna (Day 9 - 11).\n       |- The departure day of Valencia is Day 9. The arrival day of Vienna is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Split, Barcelona, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Valencia to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 11 - 14).\n         |- The departure day of Vienna is Day 11. The arrival day of Warsaw is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Helsinki, Split, Barcelona, Valencia, Vienna].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Vienna to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Split, Barcelona, Valencia, Vienna, Warsaw].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Valencia**Seville**Manchester**Prague**Florence",
    "ground_truth_durations": "3**5**3**4**2**5",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Prague"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Geneva",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Manchester. You plan to stay in Florence for 5 days. You want to spend 3 days in Geneva. You are going to attend a wedding in Geneva between day 1 and day 3. You want to spend 3 days in Seville. During day 7 and day 9, you have to attend a conference in Seville. You would like to visit Prague for 2 days. You plan to stay in Valencia for 5 days. From day 3 to day 7, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nManchester and Prague, Seville and Manchester, Geneva and Manchester, Valencia and Seville, Geneva and Valencia, Valencia and Prague, Prague and Florence, Geneva and Prague.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Manchester. You plan to stay in Florence for 5 days. You want to spend 3 days in Geneva. You are going to attend a wedding in Geneva between day 1 and day 3. You want to spend 3 days in Seville. During day 7 and day 9, you have to attend a conference in Seville. You would like to visit Prague for 2 days. You plan to stay in Valencia for 5 days. From day 3 to day 7, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Manchester to Prague, from Seville to Manchester, from Geneva to Manchester, from Valencia to Seville, from Geneva to Valencia, from Valencia to Prague, from Prague to Florence, from Geneva to Prague.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Florence.\n**Day 13-17:** Visit Florence for 5 days.",
    "id": "trip_planning_example_670",
    "estimated_output_tokens": 1441,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Prague, Duration: 2 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 3 - 7.\n* City: Seville, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Geneva is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 7 - 9).\n   |- The departure day of Valencia is Day 7. The arrival day of Seville is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Florence, Prague] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Geneva, Valencia, Seville, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Prague] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Manchester to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Manchester to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Valencia, Seville, Manchester, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Prague to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Geneva, Valencia, Seville, Manchester, Prague, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Florence.\n**Day 13-17:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Prague**Manchester**Santorini**Venice**Lyon",
    "ground_truth_durations": "3**4**2**2**3**2",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Venice"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Valencia",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You plan to stay in Manchester for 2 days. You plan to stay in Venice for 3 days. From day 8 to day 10, there is a annual show you want to attend in Venice. You want to spend 3 days in Valencia. You want to meet a friend in Valencia between day 1 and day 3. You plan to stay in Prague for 4 days. You would like to meet your friends at Prague between day 3 and day 6 to tour together. You plan to stay in Lyon for 2 days.\n\nHere are the cities that have direct flights:\nManchester and Venice, Santorini and Venice, Valencia and Lyon, Prague and Lyon, Manchester and Santorini, Venice and Lyon, Prague and Manchester, Valencia and Prague.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You plan to stay in Manchester for 2 days. You plan to stay in Venice for 3 days. From day 8 to day 10, there is a annual show you want to attend in Venice. You want to spend 3 days in Valencia. You want to meet a friend in Valencia between day 1 and day 3. You plan to stay in Prague for 4 days. You would like to meet your friends at Prague between day 3 and day 6 to tour together. You plan to stay in Lyon for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Venice, from Santorini to Venice, from Valencia to Lyon, from Prague to Lyon, from Manchester to Santorini, from Venice to Lyon, from Prague to Manchester, from Valencia to Prague.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Prague.\n**Day 3-6:** Visit Prague for 4 days.\n**Day 6:** Fly from Prague to Manchester.\n**Day 6-7:** Visit Manchester for 2 days.\n**Day 7:** Fly from Manchester to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-11:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_671",
    "estimated_output_tokens": 1529,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Lyon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 3 - 6.\n* City: Venice, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 6).\n |- The departure day of Valencia is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 8 - 10).\n   |- The departure day of Prague is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Manchester, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Manchester is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Prague, Manchester].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Manchester to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 10).\n       |- The departure day of Santorini is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Valencia, Prague, Manchester, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Valencia, Prague, Manchester, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Venice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Valencia, Prague, Manchester, Santorini, Venice, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Prague.\n**Day 3-6:** Visit Prague for 4 days.\n**Day 6:** Fly from Prague to Manchester.\n**Day 6-7:** Visit Manchester for 2 days.\n**Day 7:** Fly from Manchester to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-11:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Stockholm**Paris**Valencia**London**Mykonos",
    "ground_truth_durations": "2**4**3**5**5**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "London"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Munich",
        "Paris"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "London",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in London for 5 days. You would like to visit Paris for 3 days. You would like to visit Munich for 2 days. You plan to visit relatives in Munich between day 1 and day 2. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 2 and day 5. You would like to visit Valencia for 5 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nStockholm and London, Munich and London, Paris and London, Munich and Paris, Munich and Stockholm, Munich and Valencia, Munich and Mykonos, Valencia and London, Paris and Valencia, Stockholm and Paris, London and Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in London for 5 days. You would like to visit Paris for 3 days. You would like to visit Munich for 2 days. You plan to visit relatives in Munich between day 1 and day 2. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 2 and day 5. You would like to visit Valencia for 5 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to London, from Munich to London, from Paris to London, from Munich to Paris, from Munich to Stockholm, from Munich to Valencia, from Munich to Mykonos, from Valencia to London, from Paris to Valencia, from Stockholm to Paris, from London to Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to London.\n**Day 11-15:** Visit London for 5 days.\n**Day 15:** Fly from London to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_672",
    "estimated_output_tokens": 2368,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Valencia, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 2 - 5.\n\nCities needing arrangement:\n* City: London, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 5).\n |- The departure day of Munich is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Paris, Valencia, Mykonos] and explore these options in order.\n     |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stockholm to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Stockholm, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Valencia, Mykonos] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from London to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from London to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from London to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Munich, Stockholm, London, Mykonos].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Valencia] and explore these options in order.\n         |- Try arranging to visit Paris from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Mykonos to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Mykonos to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Stockholm, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Valencia, Mykonos] and explore these options in order.\n       |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Stockholm, Paris, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Mykonos] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from London to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Munich, Stockholm, Paris, London, Mykonos].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Mykonos to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Stockholm, Paris, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Mykonos] and explore these options in order.\n         |- Try arranging to visit London from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Munich, Stockholm, Paris, Valencia, London].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from London to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Munich, Stockholm, Paris, Valencia, London, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to London.\n**Day 11-15:** Visit London for 5 days.\n**Day 15:** Fly from London to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Valencia**Athens**Copenhagen**Zurich**Tallinn",
    "ground_truth_durations": "3**4**4**2**3**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 3 days. You plan to stay in Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 9 and day 10. You want to spend 5 days in Tallinn. You would like to visit Zurich for 3 days. You would like to meet your friends at Zurich between day 10 and day 12 to tour together. You plan to stay in Valencia for 4 days. During day 3 and day 6, you have to attend a conference in Valencia. You plan to stay in Athens for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Zurich, Zurich and Tallinn, Valencia and Zurich, Athens and Copenhagen, Copenhagen and Tallinn, from Valencia to Athens, Seville and Valencia, Valencia and Copenhagen, Copenhagen and Zurich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 3 days. You plan to stay in Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 9 and day 10. You want to spend 5 days in Tallinn. You would like to visit Zurich for 3 days. You would like to meet your friends at Zurich between day 10 and day 12 to tour together. You plan to stay in Valencia for 4 days. During day 3 and day 6, you have to attend a conference in Valencia. You plan to stay in Athens for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Zurich, from Zurich to Tallinn, from Valencia to Zurich, from Athens to Copenhagen, from Copenhagen to Tallinn, from Valencia to Athens, from Seville to Valencia, from Valencia to Copenhagen, from Copenhagen to Zurich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-6:** Visit Valencia for 4 days.\n**Day 6:** Fly from Valencia to Athens.\n**Day 6-9:** Visit Athens for 4 days.\n**Day 9:** Fly from Athens to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Zurich.\n**Day 10-12:** Visit Zurich for 3 days.\n**Day 12:** Fly from Zurich to Tallinn.\n**Day 12-16:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_673",
    "estimated_output_tokens": 1520,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Tallinn, Duration: 5 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Athens, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 3 - 6.\n* City: Copenhagen, Fixed Schedule: Day 9 - 10.\n* City: Zurich, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Tallinn, Athens] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 6).\n |- The departure day of Seville is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 9 - 10).\n   |- The departure day of Valencia is Day 6. The arrival day of Copenhagen is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Athens] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Valencia to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 9 - 10).\n     |- The departure day of Athens is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Zurich (Day 10 - 12).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Zurich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Valencia, Athens, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Seville, Valencia, Athens, Copenhagen, Zurich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Zurich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Valencia, Athens, Copenhagen, Zurich, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-6:** Visit Valencia for 4 days.\n**Day 6:** Fly from Valencia to Athens.\n**Day 6-9:** Visit Athens for 4 days.\n**Day 9:** Fly from Athens to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Zurich.\n**Day 10-12:** Visit Zurich for 3 days.\n**Day 12:** Fly from Zurich to Tallinn.\n**Day 12-16:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Madrid**Budapest**Reykjavik**Warsaw**Split",
    "ground_truth_durations": "2**4**4**2**3**4",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Reykjavik",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You have to attend a workshop in Helsinki between day 1 and day 2. You want to spend 3 days in Warsaw. You plan to visit relatives in Warsaw between day 9 and day 11. You want to spend 4 days in Madrid. You want to spend 4 days in Split. You plan to stay in Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 8 and day 9. You would like to visit Budapest for 4 days.\n\nHere are the cities that have direct flights:\nHelsinki and Reykjavik, Budapest and Warsaw, Madrid and Split, Helsinki and Split, Helsinki and Madrid, Helsinki and Budapest, Reykjavik and Warsaw, Helsinki and Warsaw, Madrid and Budapest, Budapest and Reykjavik, Madrid and Warsaw, Warsaw and Split, from Reykjavik to Madrid.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. You have to attend a workshop in Helsinki between day 1 and day 2. You want to spend 3 days in Warsaw. You plan to visit relatives in Warsaw between day 9 and day 11. You want to spend 4 days in Madrid. You want to spend 4 days in Split. You plan to stay in Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 8 and day 9. You would like to visit Budapest for 4 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Reykjavik, from Budapest to Warsaw, from Madrid to Split, from Helsinki to Split, from Helsinki to Madrid, from Helsinki to Budapest, from Reykjavik to Warsaw, from Helsinki to Warsaw, from Madrid to Budapest, from Budapest to Reykjavik, from Madrid to Warsaw, from Warsaw to Split, from Reykjavik to Madrid.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Warsaw.\n**Day 9-11:** Visit Warsaw for 3 days.\n**Day 11:** Fly from Warsaw to Split.\n**Day 11-14:** Visit Split for 4 days.",
    "id": "trip_planning_example_674",
    "estimated_output_tokens": 1774,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Madrid, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Budapest, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Fixed Schedule: Day 8 - 9.\n* City: Warsaw, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Madrid, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 9).\n |- The departure day of Helsinki is Day 2. The arrival day of Reykjavik is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Split, Budapest] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 8 - 9).\n   |- The departure day of Madrid is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Budapest] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 9).\n     |- The departure day of Split is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Madrid, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Split to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 9).\n     |- The departure day of Budapest is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Madrid, Budapest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Budapest to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 9 - 11).\n       |- The departure day of Reykjavik is Day 9. The arrival day of Warsaw is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Madrid, Budapest, Reykjavik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Helsinki, Madrid, Budapest, Reykjavik, Warsaw].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Warsaw to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Madrid, Budapest, Reykjavik, Warsaw, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Warsaw.\n**Day 9-11:** Visit Warsaw for 3 days.\n**Day 11:** Fly from Warsaw to Split.\n**Day 11-14:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Munich**Krakow**Split**Milan**Porto",
    "ground_truth_durations": "4**5**2**3**3**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Porto"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Munich",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You would like to visit Split for 3 days. You would like to visit Milan for 3 days. You are going to attend a wedding in Milan between day 11 and day 13. You want to spend 4 days in Porto. You would like to visit Krakow for 2 days. You would like to meet your friends at Krakow between day 8 and day 9 to tour together. You plan to stay in Munich for 5 days. From day 4 to day 8, there is a annual show you want to attend in Munich.\n\nHere are the cities that have direct flights:\nMunich and Porto, Split and Milan, Milan and Porto, Munich and Krakow, Munich and Milan, Dubrovnik and Munich, Krakow and Split, Krakow and Milan, Munich and Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You would like to visit Split for 3 days. You would like to visit Milan for 3 days. You are going to attend a wedding in Milan between day 11 and day 13. You want to spend 4 days in Porto. You would like to visit Krakow for 2 days. You would like to meet your friends at Krakow between day 8 and day 9 to tour together. You plan to stay in Munich for 5 days. From day 4 to day 8, there is a annual show you want to attend in Munich.\n\nHere are the cities that have direct flights:\nfrom Munich to Porto, from Split to Milan, from Milan to Porto, from Munich to Krakow, from Munich to Milan, from Dubrovnik to Munich, from Krakow to Split, from Krakow to Milan, from Munich to Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Split.\n**Day 9-11:** Visit Split for 3 days.\n**Day 11:** Fly from Split to Milan.\n**Day 11-13:** Visit Milan for 3 days.\n**Day 13:** Fly from Milan to Porto.\n**Day 13-16:** Visit Porto for 4 days.",
    "id": "trip_planning_example_675",
    "estimated_output_tokens": 1493,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days.\n* City: Split, Duration: 3 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Porto, Duration: 4 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 4 - 8.\n* City: Krakow, Fixed Schedule: Day 8 - 9.\n* City: Milan, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Split, Porto] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 8).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 9).\n   |- The departure day of Munich is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Munich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 11 - 13).\n     |- The departure day of Krakow is Day 9. The arrival day of Milan is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Munich, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Porto] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Krakow to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 11 - 13).\n       |- The departure day of Split is Day 11. The arrival day of Milan is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Munich, Krakow, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Split to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Munich, Krakow, Split, Milan].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Milan to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Munich, Krakow, Split, Milan, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Split.\n**Day 9-11:** Visit Split for 3 days.\n**Day 11:** Fly from Split to Milan.\n**Day 11-13:** Visit Milan for 3 days.\n**Day 13:** Fly from Milan to Porto.\n**Day 13-16:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Split**Geneva**Paris**Bucharest",
    "ground_truth_durations": "3**3**5**5**3**2",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Paris"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Milan",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Split for 5 days. You want to spend 2 days in Bucharest. You have to attend a workshop in Bucharest between day 15 and day 16. You plan to stay in Porto for 3 days. From day 1 to day 3, there is a annual show you want to attend in Porto. You plan to stay in Milan for 3 days. During day 3 and day 5, you have to attend a conference in Milan.\n\nHere are the cities that have direct flights:\nPorto and Paris, Split and Paris, Milan and Split, Geneva and Paris, Porto and Geneva, Porto and Milan, Split and Geneva, Paris and Bucharest, Milan and Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Split for 5 days. You want to spend 2 days in Bucharest. You have to attend a workshop in Bucharest between day 15 and day 16. You plan to stay in Porto for 3 days. From day 1 to day 3, there is a annual show you want to attend in Porto. You plan to stay in Milan for 3 days. During day 3 and day 5, you have to attend a conference in Milan.\n\nHere are the cities that have direct flights:\nfrom Porto to Paris, from Split to Paris, from Milan to Split, from Geneva to Paris, from Porto to Geneva, from Porto to Milan, from Split to Geneva, from Paris to Bucharest, from Milan to Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_676",
    "estimated_output_tokens": 2110,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 3 - 5.\n* City: Bucharest, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Split, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Porto is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 15 - 16).\n   |- The departure day of Milan is Day 5. The arrival day of Bucharest is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Geneva, Split] and explore these options in order.\n     |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 15 - 16).\n     |- The departure day of Paris is Day 7. The arrival day of Bucharest is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Porto, Milan, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Split] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 15 - 16).\n     |- The departure day of Split is Day 9. The arrival day of Bucharest is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Milan, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Geneva] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 15 - 16).\n       |- The departure day of Paris is Day 11. The arrival day of Bucharest is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Milan, Split, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Paris to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 15 - 16).\n       |- The departure day of Geneva is Day 13. The arrival day of Bucharest is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Milan, Split, Geneva].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n         |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Geneva to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 15 - 16).\n         |- The departure day of Paris is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Milan, Split, Geneva, Paris].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Paris to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Porto, Milan, Split, Geneva, Paris, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Venice**Berlin**Budapest**Mykonos**Rome",
    "ground_truth_durations": "3**5**3**5**2**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Budapest",
        "Rome"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Venice",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You plan to stay in Berlin for 3 days. You plan to stay in Budapest for 5 days. You want to spend 3 days in Rome. From day 14 to day 16, there is a annual show you want to attend in Rome. You plan to stay in Venice for 5 days. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nBudapest and Mykonos, Dublin and Berlin, Dublin and Venice, Berlin and Rome, Venice and Rome, Dublin and Rome, Budapest and Rome, Dublin and Budapest, Berlin and Budapest, Mykonos and Rome, Venice and Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You plan to stay in Berlin for 3 days. You plan to stay in Budapest for 5 days. You want to spend 3 days in Rome. From day 14 to day 16, there is a annual show you want to attend in Rome. You plan to stay in Venice for 5 days. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Budapest to Mykonos, from Dublin to Berlin, from Dublin to Venice, from Berlin to Rome, from Venice to Rome, from Dublin to Rome, from Budapest to Rome, from Dublin to Budapest, from Berlin to Budapest, from Mykonos to Rome, from Venice to Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Mykonos.\n**Day 13-14:** Visit Mykonos for 2 days.\n**Day 14:** Fly from Mykonos to Rome.\n**Day 14-16:** Visit Rome for 3 days.",
    "id": "trip_planning_example_677",
    "estimated_output_tokens": 3106,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Venice, Duration: 5 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n* City: Rome, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 14 - 16).\n |- The departure day of Dublin is Day 3. The arrival day of Rome is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Budapest, Venice] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 14 - 16).\n   |- The departure day of Berlin is Day 5. The arrival day of Rome is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest, Venice] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Berlin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Berlin to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 14 - 16).\n     |- The departure day of Budapest is Day 9. The arrival day of Rome is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dublin, Berlin, Budapest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Venice] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 14 - 16).\n       |- The departure day of Mykonos is Day 10. The arrival day of Rome is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dublin, Berlin, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Mykonos to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Berlin to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 14 - 16).\n   |- The departure day of Budapest is Day 7. The arrival day of Rome is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Venice] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 14 - 16).\n     |- The departure day of Mykonos is Day 8. The arrival day of Rome is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Budapest, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Venice] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Mykonos to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Mykonos to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Budapest to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Budapest to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 14 - 16).\n   |- The departure day of Venice is Day 7. The arrival day of Rome is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Budapest] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 14 - 16).\n     |- The departure day of Berlin is Day 9. The arrival day of Rome is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dublin, Venice, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Berlin to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 14 - 16).\n       |- The departure day of Budapest is Day 13. The arrival day of Rome is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dublin, Venice, Berlin, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Budapest to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Rome (Day 14 - 16).\n         |- The departure day of Mykonos is Day 14. The arrival day of Rome is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dublin, Venice, Berlin, Budapest, Mykonos].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Rome.\n           |- Try arranging to visit Rome from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Mykonos to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dublin, Venice, Berlin, Budapest, Mykonos, Rome].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Mykonos.\n**Day 13-14:** Visit Mykonos for 2 days.\n**Day 14:** Fly from Mykonos to Rome.\n**Day 14-16:** Visit Rome for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Stuttgart**Manchester**Riga**Tallinn**Vilnius",
    "ground_truth_durations": "5**4**2**3**3**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Riga"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You want to spend 3 days in Tallinn. You would like to visit Frankfurt for 5 days. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 8 and day 9. You would like to visit Stuttgart for 4 days. You have to attend a workshop in Stuttgart between day 5 and day 8. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nManchester and Riga, from Tallinn to Vilnius, Frankfurt and Tallinn, Frankfurt and Manchester, from Riga to Tallinn, Frankfurt and Stuttgart, Frankfurt and Riga, Stuttgart and Manchester, from Riga to Vilnius, Frankfurt and Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You want to spend 3 days in Tallinn. You would like to visit Frankfurt for 5 days. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 8 and day 9. You would like to visit Stuttgart for 4 days. You have to attend a workshop in Stuttgart between day 5 and day 8. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Riga, from Tallinn to Vilnius, from Frankfurt to Tallinn, from Frankfurt to Manchester, from Riga to Tallinn, from Frankfurt to Stuttgart, from Frankfurt to Riga, from Stuttgart to Manchester, from Riga to Vilnius, from Frankfurt to Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Manchester.\n**Day 8-9:** Visit Manchester for 2 days.\n**Day 9:** Fly from Manchester to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_678",
    "estimated_output_tokens": 2687,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 8.\n* City: Manchester, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Frankfurt, Riga] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 8).\n |- The departure day of Vilnius is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 8).\n |- The departure day of Tallinn is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Riga] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 8).\n   |- The departure day of Vilnius is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Tallinn to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Tallinn to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 8).\n |- The departure day of Frankfurt is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Frankfurt to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 8 - 9).\n   |- The departure day of Stuttgart is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Frankfurt, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stuttgart to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Stuttgart, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Riga] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Manchester to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Manchester to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Stuttgart, Manchester, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Stuttgart, Manchester, Riga, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Vilnius to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Stuttgart, Manchester, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Frankfurt, Stuttgart, Manchester, Riga, Tallinn, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Manchester.\n**Day 8-9:** Visit Manchester for 2 days.\n**Day 9:** Fly from Manchester to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Vilnius.\n**Day 13-15:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Athens**Riga**Tallinn**Brussels**Valencia",
    "ground_truth_durations": "5**2**4**3**5**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Athens"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Riga",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. You would like to visit Athens for 2 days. From day 5 to day 6, there is a annual show you want to attend in Athens. You plan to stay in Valencia for 5 days. During day 15 and day 19, you have to attend a conference in Valencia. You would like to visit Riga for 4 days. You would like to visit Brussels for 5 days. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, London and Valencia, from Athens to Riga, London and Brussels, Athens and Brussels, Tallinn and Brussels, from Riga to Tallinn, London and Athens, Brussels and Valencia, Riga and Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. You would like to visit Athens for 2 days. From day 5 to day 6, there is a annual show you want to attend in Athens. You plan to stay in Valencia for 5 days. During day 15 and day 19, you have to attend a conference in Valencia. You would like to visit Riga for 4 days. You would like to visit Brussels for 5 days. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, from London to Valencia, from Athens to Riga, from London to Brussels, from Athens to Brussels, from Tallinn to Brussels, from Riga to Tallinn, from London to Athens, from Brussels to Valencia, from Riga to Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Brussels.\n**Day 11-15:** Visit Brussels for 5 days.\n**Day 15:** Fly from Brussels to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_679",
    "estimated_output_tokens": 1766,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Riga, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: London, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Riga, Brussels, Tallinn] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 6).\n |- The departure day of London is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 15 - 19).\n   |- The departure day of Athens is Day 6. The arrival day of Valencia is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Brussels, Tallinn] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 15 - 19).\n     |- The departure day of Riga is Day 9. The arrival day of Valencia is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [London, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Tallinn] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 19).\n       |- The departure day of Brussels is Day 13. The arrival day of Valencia is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Athens, Riga, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 19).\n       |- The departure day of Tallinn is Day 11. The arrival day of Valencia is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Athens, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 15 - 19).\n         |- The departure day of Brussels is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Athens, Riga, Tallinn, Brussels].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Brussels to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [London, Athens, Riga, Tallinn, Brussels, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Brussels.\n**Day 11-15:** Visit Brussels for 5 days.\n**Day 15:** Fly from Brussels to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Stuttgart**Berlin**Budapest**Zurich**Vilnius",
    "ground_truth_durations": "3**5**4**4**5**2",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Zurich",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You plan to stay in Berlin for 4 days. You want to spend 2 days in Vilnius. You would like to visit Stuttgart for 5 days. You plan to visit relatives in Stuttgart between day 3 and day 7. You want to spend 4 days in Budapest. You want to meet a friend in Budapest between day 10 and day 13. You would like to visit Venice for 3 days.\n\nHere are the cities that have direct flights:\nStuttgart and Budapest, Budapest and Zurich, Venice and Berlin, Venice and Stuttgart, Venice and Zurich, Berlin and Vilnius, Berlin and Zurich, Berlin and Budapest, Stuttgart and Berlin, Zurich and Vilnius.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You plan to stay in Berlin for 4 days. You want to spend 2 days in Vilnius. You would like to visit Stuttgart for 5 days. You plan to visit relatives in Stuttgart between day 3 and day 7. You want to spend 4 days in Budapest. You want to meet a friend in Budapest between day 10 and day 13. You would like to visit Venice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Budapest, from Budapest to Zurich, from Venice to Berlin, from Venice to Stuttgart, from Venice to Zurich, from Berlin to Vilnius, from Berlin to Zurich, from Berlin to Budapest, from Stuttgart to Berlin, from Zurich to Vilnius.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Stuttgart.\n**Day 3-7:** Visit Stuttgart for 5 days.\n**Day 7:** Fly from Stuttgart to Berlin.\n**Day 7-10:** Visit Berlin for 4 days.\n**Day 10:** Fly from Berlin to Budapest.\n**Day 10-13:** Visit Budapest for 4 days.\n**Day 13:** Fly from Budapest to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_680",
    "estimated_output_tokens": 2058,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Venice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 3 - 7.\n* City: Budapest, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Berlin, Vilnius, Venice] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 3 - 7).\n |- The departure day of Zurich is Day 5. The arrival day of Stuttgart is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 3 - 7).\n |- The departure day of Berlin is Day 4. The arrival day of Stuttgart is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 3 - 7).\n |- The departure day of Vilnius is Day 2. The arrival day of Stuttgart is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Berlin, Venice] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 3 - 7).\n |- The departure day of Venice is Day 3. The arrival day of Stuttgart is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 10 - 13).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Budapest is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Berlin, Vilnius] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stuttgart to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 10 - 13).\n     |- The departure day of Berlin is Day 10. The arrival day of Budapest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Stuttgart, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Berlin to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Venice, Stuttgart, Berlin, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Budapest to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Venice, Stuttgart, Berlin, Budapest, Zurich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Zurich to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Venice, Stuttgart, Berlin, Budapest, Zurich, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Stuttgart.\n**Day 3-7:** Visit Stuttgart for 5 days.\n**Day 7:** Fly from Stuttgart to Berlin.\n**Day 7-10:** Visit Berlin for 4 days.\n**Day 10:** Fly from Berlin to Budapest.\n**Day 10-13:** Visit Budapest for 4 days.\n**Day 13:** Fly from Budapest to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Edinburgh**Prague**Valencia**Frankfurt**Salzburg",
    "ground_truth_durations": "4**3**5**2**3**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You plan to stay in Salzburg for 2 days. You would like to visit Edinburgh for 3 days. You have to attend a workshop in Edinburgh between day 4 and day 6. You would like to visit Valencia for 2 days. You want to spend 3 days in Frankfurt. During day 11 and day 13, you have to attend a conference in Frankfurt. You plan to stay in Nice for 4 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Prague, Prague and Frankfurt, Edinburgh and Frankfurt, Valencia and Frankfurt, Nice and Frankfurt, Prague and Valencia, Nice and Edinburgh, Frankfurt and Salzburg.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You plan to stay in Salzburg for 2 days. You would like to visit Edinburgh for 3 days. You have to attend a workshop in Edinburgh between day 4 and day 6. You would like to visit Valencia for 2 days. You want to spend 3 days in Frankfurt. During day 11 and day 13, you have to attend a conference in Frankfurt. You plan to stay in Nice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Prague, from Prague to Frankfurt, from Edinburgh to Frankfurt, from Valencia to Frankfurt, from Nice to Frankfurt, from Prague to Valencia, from Nice to Edinburgh, from Frankfurt to Salzburg.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Edinburgh.\n**Day 4-6:** Visit Edinburgh for 3 days.\n**Day 6:** Fly from Edinburgh to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Salzburg.\n**Day 13-14:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_681",
    "estimated_output_tokens": 2301,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Valencia, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Nice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 4 - 6.\n* City: Frankfurt, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Salzburg, Valencia, Nice] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 6).\n |- The departure day of Prague is Day 5. The arrival day of Edinburgh is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 6).\n |- The departure day of Salzburg is Day 2. The arrival day of Edinburgh is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Valencia, Nice] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Salzburg to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 6).\n |- The departure day of Valencia is Day 2. The arrival day of Edinburgh is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Salzburg, Nice] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 6).\n |- The departure day of Nice is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Nice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 11 - 13).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Frankfurt is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Salzburg, Valencia] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Edinburgh to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Frankfurt (Day 11 - 13).\n     |- The departure day of Prague is Day 10. The arrival day of Frankfurt is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Nice, Edinburgh, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 11 - 13).\n       |- The departure day of Valencia is Day 11. The arrival day of Frankfurt is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Edinburgh, Prague, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Edinburgh, Prague, Valencia, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Nice, Edinburgh, Prague, Valencia, Frankfurt, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Edinburgh.\n**Day 4-6:** Visit Edinburgh for 3 days.\n**Day 6:** Fly from Edinburgh to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Salzburg.\n**Day 13-14:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Istanbul**Porto**Dublin**Athens**Stuttgart",
    "ground_truth_durations": "2**4**4**2**4**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Dublin",
        "Athens"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Prague",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Athens. You want to spend 2 days in Prague. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 12 and day 16. You would like to visit Istanbul for 4 days. You would like to visit Porto for 4 days. You have to attend a workshop in Porto between day 5 and day 8. You want to spend 2 days in Dublin. You would like to meet your friends at Dublin between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nIstanbul and Athens, Istanbul and Dublin, Istanbul and Stuttgart, Porto and Dublin, Dublin and Athens, Porto and Stuttgart, Istanbul and Porto, Athens and Stuttgart, Prague and Istanbul, Prague and Athens, Prague and Dublin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Athens. You want to spend 2 days in Prague. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 12 and day 16. You would like to visit Istanbul for 4 days. You would like to visit Porto for 4 days. You have to attend a workshop in Porto between day 5 and day 8. You want to spend 2 days in Dublin. You would like to meet your friends at Dublin between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Athens, from Istanbul to Dublin, from Istanbul to Stuttgart, from Porto to Dublin, from Dublin to Athens, from Porto to Stuttgart, from Istanbul to Porto, from Athens to Stuttgart, from Prague to Istanbul, from Prague to Athens, from Prague to Dublin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Istanbul.\n**Day 2-5:** Visit Istanbul for 4 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Athens.\n**Day 9-12:** Visit Athens for 4 days.\n**Day 12:** Fly from Athens to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_682",
    "estimated_output_tokens": 2032,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Istanbul, Duration: 4 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 5 - 8.\n* City: Dublin, Fixed Schedule: Day 8 - 9.\n* City: Stuttgart, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Prague, Istanbul] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 8).\n |- The departure day of Athens is Day 4. The arrival day of Porto is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Istanbul] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 8).\n |- The departure day of Prague is Day 2. The arrival day of Porto is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Istanbul] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 5 - 8).\n   |- The departure day of Athens is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 5 - 8).\n   |- The departure day of Istanbul is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 9).\n     |- The departure day of Porto is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Istanbul, Porto].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Porto to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 12 - 16).\n       |- The departure day of Dublin is Day 9. The arrival day of Stuttgart is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Prague, Istanbul, Porto, Dublin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Dublin to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 12 - 16).\n         |- The departure day of Athens is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Prague, Istanbul, Porto, Dublin, Athens].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Athens to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Prague, Istanbul, Porto, Dublin, Athens, Stuttgart].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Istanbul.\n**Day 2-5:** Visit Istanbul for 4 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Athens.\n**Day 9-12:** Visit Athens for 4 days.\n**Day 12:** Fly from Athens to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Vienna**Brussels**Florence**Munich**Naples",
    "ground_truth_durations": "3**2**4**3**2**3",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Brussels",
        "Munich"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Vienna",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You have to attend a workshop in Berlin between day 1 and day 3. You plan to stay in Florence for 3 days. From day 7 to day 9, there is a annual show you want to attend in Florence. You would like to visit Munich for 2 days. You would like to visit Brussels for 4 days. You would like to visit Naples for 3 days. You plan to stay in Vienna for 2 days. You want to meet a friend in Vienna between day 3 and day 4.\n\nHere are the cities that have direct flights:\nBerlin and Vienna, Brussels and Munich, Brussels and Florence, Berlin and Munich, Brussels and Naples, Vienna and Brussels, Munich and Naples, Vienna and Naples, Vienna and Florence, Berlin and Brussels, Berlin and Naples, from Florence to Munich, Vienna and Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You have to attend a workshop in Berlin between day 1 and day 3. You plan to stay in Florence for 3 days. From day 7 to day 9, there is a annual show you want to attend in Florence. You would like to visit Munich for 2 days. You would like to visit Brussels for 4 days. You would like to visit Naples for 3 days. You plan to stay in Vienna for 2 days. You want to meet a friend in Vienna between day 3 and day 4.\n\nHere are the cities that have direct flights:\nfrom Berlin to Vienna, from Brussels to Munich, from Brussels to Florence, from Berlin to Munich, from Brussels to Naples, from Vienna to Brussels, from Munich to Naples, from Vienna to Naples, from Vienna to Florence, from Berlin to Brussels, from Berlin to Naples, from Florence to Munich, from Vienna to Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Vienna.\n**Day 3-4:** Visit Vienna for 2 days.\n**Day 4:** Fly from Vienna to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Naples.\n**Day 10-12:** Visit Naples for 3 days.",
    "id": "trip_planning_example_683",
    "estimated_output_tokens": 1921,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Munich, Duration: 2 days.\n* City: Brussels, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Fixed Schedule: Day 3 - 4.\n* City: Florence, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Brussels, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 4).\n |- The departure day of Berlin is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 7 - 9).\n   |- The departure day of Vienna is Day 4. The arrival day of Florence is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Brussels, Naples] and explore these options in order.\n     |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vienna to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 7 - 9).\n     |- The departure day of Munich is Day 5. The arrival day of Florence is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Berlin, Vienna, Munich].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Naples] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Munich to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Munich to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 9).\n       |- The departure day of Naples is Day 7. The arrival day of Florence is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Berlin, Vienna, Munich, Naples].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vienna to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 7 - 9).\n     |- The departure day of Brussels is Day 7. The arrival day of Florence is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Vienna, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Vienna, Brussels, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Naples] and explore these options in order.\n         |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Florence to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Berlin, Vienna, Brussels, Florence, Munich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Munich to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Berlin, Vienna, Brussels, Florence, Munich, Naples].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Vienna.\n**Day 3-4:** Visit Vienna for 2 days.\n**Day 4:** Fly from Vienna to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Amsterdam**Vienna**Reykjavik**Berlin**Brussels",
    "ground_truth_durations": "5**4**5**5**4**5",
    "num_cities": 6,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 4 days. You plan to visit relatives in Amsterdam between day 5 and day 8. You plan to stay in Edinburgh for 5 days. You want to spend 5 days in Brussels. You want to spend 5 days in Vienna. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 16 and day 19. You plan to stay in Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 12 and day 16.\n\nHere are the cities that have direct flights:\nEdinburgh and Berlin, Amsterdam and Berlin, Edinburgh and Amsterdam, Vienna and Berlin, Berlin and Brussels, Vienna and Reykjavik, Edinburgh and Brussels, Vienna and Brussels, Amsterdam and Reykjavik, Reykjavik and Brussels, Amsterdam and Vienna, Reykjavik and Berlin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 4 days. You plan to visit relatives in Amsterdam between day 5 and day 8. You plan to stay in Edinburgh for 5 days. You want to spend 5 days in Brussels. You want to spend 5 days in Vienna. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 16 and day 19. You plan to stay in Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Berlin, from Amsterdam to Berlin, from Edinburgh to Amsterdam, from Vienna to Berlin, from Berlin to Brussels, from Vienna to Reykjavik, from Edinburgh to Brussels, from Vienna to Brussels, from Amsterdam to Reykjavik, from Reykjavik to Brussels, from Amsterdam to Vienna, from Reykjavik to Berlin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 23 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.\n**Day 19:** Fly from Berlin to Brussels.\n**Day 19-23:** Visit Brussels for 5 days.",
    "id": "trip_planning_example_684",
    "estimated_output_tokens": 1550,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Edinburgh, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Fixed Schedule: Day 12 - 16.\n* City: Berlin, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Brussels, Vienna] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 8).\n |- The departure day of Edinburgh is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 12 - 16).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Reykjavik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vienna] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 12 - 16).\n     |- The departure day of Vienna is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Edinburgh, Amsterdam, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Berlin (Day 16 - 19).\n       |- The departure day of Reykjavik is Day 16. The arrival day of Berlin is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Edinburgh, Amsterdam, Vienna, Reykjavik].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Reykjavik to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Edinburgh, Amsterdam, Vienna, Reykjavik, Berlin].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Berlin to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Edinburgh, Amsterdam, Vienna, Reykjavik, Berlin, Brussels].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.\n**Day 19:** Fly from Berlin to Brussels.\n**Day 19-23:** Visit Brussels for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Vienna**Reykjavik**Nice**Edinburgh",
    "ground_truth_durations": "4**2**5**4**5**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Nice"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Vilnius",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 2 days in Vilnius. You want to spend 5 days in Nice. You would like to visit Vienna for 5 days. You would like to visit Tallinn for 4 days. You plan to stay in Edinburgh for 4 days.\n\nHere are the cities that have direct flights:\nVienna and Nice, from Tallinn to Vilnius, Vienna and Reykjavik, Nice and Edinburgh, Reykjavik and Nice, Vilnius and Vienna.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 2 days in Vilnius. You want to spend 5 days in Nice. You would like to visit Vienna for 5 days. You would like to visit Tallinn for 4 days. You plan to stay in Edinburgh for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Nice, from Tallinn to Vilnius, from Vienna to Reykjavik, from Nice to Edinburgh, from Reykjavik to Nice, from Vilnius to Vienna.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-5:** Visit Vilnius for 2 days.\n**Day 5:** Fly from Vilnius to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Nice.\n**Day 12-16:** Visit Nice for 5 days.\n**Day 16:** Fly from Nice to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.",
    "id": "trip_planning_example_685",
    "estimated_output_tokens": 7179,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Nice, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Nice, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Nice, Vienna, Tallinn, Edinburgh] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Nice, Vienna, Tallinn, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna, Tallinn, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Nice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Nice to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Nice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna, Tallinn] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Edinburgh to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Edinburgh to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Vienna, Tallinn, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Tallinn, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Vienna, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Tallinn, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Reykjavik to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Vienna, Reykjavik, Nice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Vilnius, Vienna, Reykjavik, Nice, Edinburgh].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Edinburgh to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vienna to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Vienna, Nice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Tallinn, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Nice to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Nice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Vienna, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Tallinn] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Edinburgh to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Edinburgh to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Vienna, Tallinn, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Vienna, Tallinn] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Edinburgh to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Nice, Tallinn, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Reykjavik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Nice, Tallinn, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Reykjavik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Reykjavik to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Reykjavik, Nice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Nice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Nice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vienna, Reykjavik, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Edinburgh to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Edinburgh to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Reykjavik to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Reykjavik to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vienna to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Nice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Tallinn, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Nice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Nice to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Nice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Nice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Tallinn] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Edinburgh to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Edinburgh to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Edinburgh to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Nice, Vienna, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Vienna, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Tallinn, Vilnius, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Tallinn, Vilnius, Vienna, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Nice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Tallinn, Vilnius, Vienna, Reykjavik, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Nice to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Tallinn, Vilnius, Vienna, Reykjavik, Nice, Edinburgh].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-5:** Visit Vilnius for 2 days.\n**Day 5:** Fly from Vilnius to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Nice.\n**Day 12-16:** Visit Nice for 5 days.\n**Day 16:** Fly from Nice to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Istanbul**Lyon**Frankfurt**Milan**Mykonos",
    "ground_truth_durations": "2**4**4**3**2**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Lyon"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Lyon",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You are going to attend a wedding in Istanbul between day 2 and day 5. You would like to visit Mykonos for 2 days. You plan to stay in Lyon for 4 days. You plan to stay in Frankfurt for 3 days. You want to spend 2 days in Nice. You want to meet a friend in Nice between day 1 and day 2. You plan to stay in Milan for 2 days. You have to attend a workshop in Milan between day 10 and day 11.\n\nHere are the cities that have direct flights:\nNice and Lyon, Istanbul and Lyon, Frankfurt and Milan, Istanbul and Milan, Nice and Frankfurt, Istanbul and Frankfurt, Milan and Mykonos, Nice and Istanbul, Nice and Mykonos, Lyon and Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You are going to attend a wedding in Istanbul between day 2 and day 5. You would like to visit Mykonos for 2 days. You plan to stay in Lyon for 4 days. You plan to stay in Frankfurt for 3 days. You want to spend 2 days in Nice. You want to meet a friend in Nice between day 1 and day 2. You plan to stay in Milan for 2 days. You have to attend a workshop in Milan between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Nice to Lyon, from Istanbul to Lyon, from Frankfurt to Milan, from Istanbul to Milan, from Nice to Frankfurt, from Istanbul to Frankfurt, from Milan to Mykonos, from Nice to Istanbul, from Nice to Mykonos, from Lyon to Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Istanbul.\n**Day 2-5:** Visit Istanbul for 4 days.\n**Day 5:** Fly from Istanbul to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_686",
    "estimated_output_tokens": 1564,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Mykonos, Duration: 2 days.\n* City: Lyon, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Fixed Schedule: Day 2 - 5.\n* City: Milan, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Lyon, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 5).\n |- The departure day of Nice is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 10 - 11).\n   |- The departure day of Istanbul is Day 5. The arrival day of Milan is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Istanbul to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 10 - 11).\n     |- The departure day of Lyon is Day 8. The arrival day of Milan is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Istanbul, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lyon to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n       |- The departure day of Frankfurt is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Nice, Istanbul, Lyon, Frankfurt].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Frankfurt to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Nice, Istanbul, Lyon, Frankfurt, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Milan to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Nice, Istanbul, Lyon, Frankfurt, Milan, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Istanbul.\n**Day 2-5:** Visit Istanbul for 4 days.\n**Day 5:** Fly from Istanbul to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Paris**Seville**Rome**Istanbul**Stuttgart",
    "ground_truth_durations": "5**3**2**4**5**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Rome"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Copenhagen",
        "Paris"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Paris",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You would like to visit Stuttgart for 4 days. During day 15 and day 18, you have to attend a conference in Stuttgart. You plan to stay in Paris for 3 days. You would like to visit Rome for 4 days. You want to meet a friend in Rome between day 8 and day 11. You plan to stay in Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 1 and day 5. You want to spend 2 days in Seville.\n\nHere are the cities that have direct flights:\nParis and Rome, Rome and Stuttgart, Rome and Istanbul, Copenhagen and Stuttgart, Copenhagen and Istanbul, Paris and Stuttgart, Copenhagen and Rome, Paris and Seville, Copenhagen and Paris, Seville and Rome, Istanbul and Stuttgart, Paris and Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You would like to visit Stuttgart for 4 days. During day 15 and day 18, you have to attend a conference in Stuttgart. You plan to stay in Paris for 3 days. You would like to visit Rome for 4 days. You want to meet a friend in Rome between day 8 and day 11. You plan to stay in Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 1 and day 5. You want to spend 2 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Paris to Rome, from Rome to Stuttgart, from Rome to Istanbul, from Copenhagen to Stuttgart, from Copenhagen to Istanbul, from Paris to Stuttgart, from Copenhagen to Rome, from Paris to Seville, from Copenhagen to Paris, from Seville to Rome, from Istanbul to Stuttgart, from Paris to Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Istanbul.\n**Day 11-15:** Visit Istanbul for 5 days.\n**Day 15:** Fly from Istanbul to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_687",
    "estimated_output_tokens": 1728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Paris, Duration: 3 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Seville, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 8 - 11.\n* City: Stuttgart, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 8 - 11).\n |- The departure day of Copenhagen is Day 5. The arrival day of Rome is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Paris, Seville] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 8 - 11).\n   |- The departure day of Istanbul is Day 9. The arrival day of Rome is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Copenhagen to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 8 - 11).\n   |- The departure day of Paris is Day 7. The arrival day of Rome is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Seville] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 11).\n     |- The departure day of Istanbul is Day 11. The arrival day of Rome is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 11).\n     |- The departure day of Seville is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Paris, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Seville to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 15 - 18).\n       |- The departure day of Rome is Day 11. The arrival day of Stuttgart is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Paris, Seville, Rome].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Rome to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 15 - 18).\n         |- The departure day of Istanbul is Day 15. The arrival day of Stuttgart is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Paris, Seville, Rome, Istanbul].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Istanbul to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Paris, Seville, Rome, Istanbul, Stuttgart].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Istanbul.\n**Day 11-15:** Visit Istanbul for 5 days.\n**Day 15:** Fly from Istanbul to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Vienna**Dubrovnik**Athens**Berlin**Tallinn",
    "ground_truth_durations": "2**3**5**3**4**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Munich",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 3 days in Tallinn. You would like to visit Munich for 2 days. You want to meet a friend in Munich between day 1 and day 2. You want to spend 3 days in Athens. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 10 and day 13. You plan to stay in Vienna for 3 days. You have to attend a workshop in Vienna between day 2 and day 4.\n\nHere are the cities that have direct flights:\nMunich and Dubrovnik, Berlin and Tallinn, Munich and Vienna, Vienna and Athens, Vienna and Berlin, Vienna and Dubrovnik, Dubrovnik and Athens, Athens and Berlin, Munich and Berlin, Munich and Tallinn, Munich and Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. You want to spend 3 days in Tallinn. You would like to visit Munich for 2 days. You want to meet a friend in Munich between day 1 and day 2. You want to spend 3 days in Athens. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 10 and day 13. You plan to stay in Vienna for 3 days. You have to attend a workshop in Vienna between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Munich to Dubrovnik, from Berlin to Tallinn, from Munich to Vienna, from Vienna to Athens, from Vienna to Berlin, from Vienna to Dubrovnik, from Dubrovnik to Athens, from Athens to Berlin, from Munich to Berlin, from Munich to Tallinn, from Munich to Athens.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Vienna.\n**Day 2-4:** Visit Vienna for 3 days.\n**Day 4:** Fly from Vienna to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Berlin.\n**Day 10-13:** Visit Berlin for 4 days.\n**Day 13:** Fly from Berlin to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_688",
    "estimated_output_tokens": 1546,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Athens, Duration: 3 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Vienna, Fixed Schedule: Day 2 - 4.\n* City: Berlin, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 2 - 4).\n |- The departure day of Munich is Day 2. The arrival day of Vienna is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 10 - 13).\n   |- The departure day of Vienna is Day 4. The arrival day of Berlin is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Munich, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn, Athens] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 10 - 13).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Berlin is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Vienna, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Athens] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dubrovnik to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dubrovnik to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 10 - 13).\n       |- The departure day of Athens is Day 10. The arrival day of Berlin is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Vienna, Dubrovnik, Athens].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Athens to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Vienna, Dubrovnik, Athens, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Vienna, Dubrovnik, Athens, Berlin, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Vienna.\n**Day 2-4:** Visit Vienna for 3 days.\n**Day 4:** Fly from Vienna to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Berlin.\n**Day 10-13:** Visit Berlin for 4 days.\n**Day 13:** Fly from Berlin to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Helsinki**Venice**Santorini**Rome**Mykonos",
    "ground_truth_durations": "3**4**3**3**5**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Helsinki",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You would like to meet your friends at Venice between day 6 and day 8 to tour together. You plan to stay in Santorini for 3 days. You want to meet a friend in Santorini between day 8 and day 10. You want to spend 3 days in Copenhagen. From day 1 to day 3, there is a annual show you want to attend in Copenhagen. You plan to stay in Mykonos for 2 days. You want to spend 5 days in Rome. You plan to stay in Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Venice, Helsinki and Venice, Santorini and Rome, Venice and Rome, Copenhagen and Helsinki, Venice and Santorini, Copenhagen and Santorini, Rome and Mykonos, Copenhagen and Rome, Helsinki and Rome.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You would like to meet your friends at Venice between day 6 and day 8 to tour together. You plan to stay in Santorini for 3 days. You want to meet a friend in Santorini between day 8 and day 10. You want to spend 3 days in Copenhagen. From day 1 to day 3, there is a annual show you want to attend in Copenhagen. You plan to stay in Mykonos for 2 days. You want to spend 5 days in Rome. You plan to stay in Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Venice, from Helsinki to Venice, from Santorini to Rome, from Venice to Rome, from Copenhagen to Helsinki, from Venice to Santorini, from Copenhagen to Santorini, from Rome to Mykonos, from Copenhagen to Rome, from Helsinki to Rome.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Helsinki.\n**Day 3-6:** Visit Helsinki for 4 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Rome.\n**Day 10-14:** Visit Rome for 5 days.\n**Day 14:** Fly from Rome to Mykonos.\n**Day 14-15:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_689",
    "estimated_output_tokens": 1676,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Mykonos, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 6 - 8.\n* City: Santorini, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 8).\n |- The departure day of Copenhagen is Day 3. The arrival day of Venice is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Rome, Helsinki] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Copenhagen to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 8).\n   |- The departure day of Rome is Day 7. The arrival day of Venice is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 8).\n   |- The departure day of Helsinki is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 8 - 10).\n     |- The departure day of Venice is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Helsinki, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Helsinki, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Rome] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Helsinki, Venice, Santorini, Rome].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Rome to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Helsinki, Venice, Santorini, Rome, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Helsinki.\n**Day 3-6:** Visit Helsinki for 4 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Rome.\n**Day 10-14:** Visit Rome for 5 days.\n**Day 14:** Fly from Rome to Mykonos.\n**Day 14-15:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Berlin**Tallinn**Dublin**Prague**Florence",
    "ground_truth_durations": "2**4**5**2**5**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Florence"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Vienna",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You plan to stay in Dublin for 2 days. You plan to stay in Prague for 5 days. You would like to meet your friends at Prague between day 10 and day 14 to tour together. You plan to stay in Vienna for 2 days. You plan to stay in Florence for 2 days. You plan to stay in Tallinn for 5 days. From day 5 to day 9, there is a annual show you want to attend in Tallinn.\n\nHere are the cities that have direct flights:\nPrague and Florence, Tallinn and Prague, Vienna and Dublin, Dublin and Prague, Vienna and Florence, Berlin and Dublin, Vienna and Berlin, Tallinn and Dublin, Berlin and Tallinn, Vienna and Prague.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You plan to stay in Dublin for 2 days. You plan to stay in Prague for 5 days. You would like to meet your friends at Prague between day 10 and day 14 to tour together. You plan to stay in Vienna for 2 days. You plan to stay in Florence for 2 days. You plan to stay in Tallinn for 5 days. From day 5 to day 9, there is a annual show you want to attend in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Prague to Florence, from Tallinn to Prague, from Vienna to Dublin, from Dublin to Prague, from Vienna to Florence, from Berlin to Dublin, from Vienna to Berlin, from Tallinn to Dublin, from Berlin to Tallinn, from Vienna to Prague.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Dublin.\n**Day 9-10:** Visit Dublin for 2 days.\n**Day 10:** Fly from Dublin to Prague.\n**Day 10-14:** Visit Prague for 5 days.\n**Day 14:** Fly from Prague to Florence.\n**Day 14-15:** Visit Florence for 2 days.",
    "id": "trip_planning_example_690",
    "estimated_output_tokens": 2357,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days.\n* City: Dublin, Duration: 2 days.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Vienna, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 5 - 9.\n* City: Prague, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Dublin, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Dublin, Vienna, Florence] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 5 - 9).\n |- The departure day of Berlin is Day 4. The arrival day of Tallinn is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Vienna, Florence] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 5 - 9).\n   |- The departure day of Dublin is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 5 - 9).\n |- The departure day of Dublin is Day 2. The arrival day of Tallinn is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Vienna, Florence] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dublin to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dublin to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dublin to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 5 - 9).\n |- The departure day of Vienna is Day 2. The arrival day of Tallinn is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Dublin, Florence] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 5 - 9).\n   |- The departure day of Berlin is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Berlin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 10 - 14).\n     |- The departure day of Tallinn is Day 9. The arrival day of Prague is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vienna, Berlin, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Florence] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Tallinn to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 10 - 14).\n       |- The departure day of Dublin is Day 10. The arrival day of Prague is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Berlin, Tallinn, Dublin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Dublin to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Berlin, Tallinn, Dublin, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Prague to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Berlin, Tallinn, Dublin, Prague, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Dublin.\n**Day 9-10:** Visit Dublin for 2 days.\n**Day 10:** Fly from Dublin to Prague.\n**Day 10-14:** Visit Prague for 5 days.\n**Day 14:** Fly from Prague to Florence.\n**Day 14-15:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Dubrovnik**Amsterdam**Nice**Warsaw**Helsinki",
    "ground_truth_durations": "4**3**5**3**5**2",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 2 days. During day 16 and day 17, you have to attend a conference in Helsinki. You plan to stay in Nice for 3 days. You plan to stay in Amsterdam for 5 days. You would like to visit Athens for 4 days. You plan to visit relatives in Athens between day 1 and day 4. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 12 and day 16. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Amsterdam, Dubrovnik and Helsinki, Athens and Nice, Athens and Warsaw, Warsaw and Helsinki, Amsterdam and Helsinki, Athens and Dubrovnik, Dubrovnik and Amsterdam, Nice and Helsinki, Nice and Warsaw, Amsterdam and Warsaw, Amsterdam and Nice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 2 days. During day 16 and day 17, you have to attend a conference in Helsinki. You plan to stay in Nice for 3 days. You plan to stay in Amsterdam for 5 days. You would like to visit Athens for 4 days. You plan to visit relatives in Athens between day 1 and day 4. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 12 and day 16. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Amsterdam, from Dubrovnik to Helsinki, from Athens to Nice, from Athens to Warsaw, from Warsaw to Helsinki, from Amsterdam to Helsinki, from Athens to Dubrovnik, from Dubrovnik to Amsterdam, from Nice to Helsinki, from Nice to Warsaw, from Amsterdam to Warsaw, from Amsterdam to Nice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Amsterdam.\n**Day 6-10:** Visit Amsterdam for 5 days.\n**Day 10:** Fly from Amsterdam to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Warsaw.\n**Day 12-16:** Visit Warsaw for 5 days.\n**Day 16:** Fly from Warsaw to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.",
    "id": "trip_planning_example_691",
    "estimated_output_tokens": 2388,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Nice, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Warsaw, Fixed Schedule: Day 12 - 16.\n* City: Helsinki, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Nice, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 12 - 16).\n |- The departure day of Athens is Day 4. The arrival day of Warsaw is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Amsterdam, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 12 - 16).\n   |- The departure day of Nice is Day 6. The arrival day of Warsaw is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Nice to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Nice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 12 - 16).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Warsaw is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Amsterdam to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 12 - 16).\n     |- The departure day of Nice is Day 10. The arrival day of Warsaw is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Athens, Amsterdam, Nice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 12 - 16).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Warsaw is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dubrovnik to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Warsaw (Day 12 - 16).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Warsaw is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Athens, Dubrovnik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Amsterdam to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 12 - 16).\n       |- The departure day of Nice is Day 12. The arrival day of Warsaw is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Dubrovnik, Amsterdam, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Helsinki (Day 16 - 17).\n         |- The departure day of Warsaw is Day 16. The arrival day of Helsinki is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Athens, Dubrovnik, Amsterdam, Nice, Warsaw].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Helsinki.\n           |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Warsaw to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Athens, Dubrovnik, Amsterdam, Nice, Warsaw, Helsinki].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Amsterdam.\n**Day 6-10:** Visit Amsterdam for 5 days.\n**Day 10:** Fly from Amsterdam to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Warsaw.\n**Day 12-16:** Visit Warsaw for 5 days.\n**Day 16:** Fly from Warsaw to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Paris**Venice**Dublin**Nice**Manchester",
    "ground_truth_durations": "3**4**3**3**4**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Paris",
        "Dublin"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Venice",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Vilnius. You plan to stay in Paris for 4 days. You want to spend 4 days in Nice. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 8 and day 10 to tour together. You would like to visit Manchester for 2 days. From day 13 to day 14, there is a annual show you want to attend in Manchester. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 6 and day 8.\n\nHere are the cities that have direct flights:\nVilnius and Paris, Paris and Venice, Venice and Manchester, Nice and Manchester, Paris and Dublin, Paris and Manchester, Paris and Nice, Dublin and Nice, Venice and Dublin, Dublin and Manchester, Venice and Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Vilnius. You plan to stay in Paris for 4 days. You want to spend 4 days in Nice. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 8 and day 10 to tour together. You would like to visit Manchester for 2 days. From day 13 to day 14, there is a annual show you want to attend in Manchester. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Paris, from Paris to Venice, from Venice to Manchester, from Nice to Manchester, from Paris to Dublin, from Paris to Manchester, from Paris to Nice, from Dublin to Nice, from Venice to Dublin, from Dublin to Manchester, from Venice to Nice.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Dublin.\n**Day 8-10:** Visit Dublin for 3 days.\n**Day 10:** Fly from Dublin to Nice.\n**Day 10-13:** Visit Nice for 4 days.\n**Day 13:** Fly from Nice to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_692",
    "estimated_output_tokens": 1519,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 6 - 8.\n* City: Dublin, Fixed Schedule: Day 8 - 10.\n* City: Manchester, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Paris, Nice] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 8).\n |- The departure day of Vilnius is Day 3. The arrival day of Venice is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Nice] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 8).\n   |- The departure day of Paris is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 8 - 10).\n     |- The departure day of Venice is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 13 - 14).\n       |- The departure day of Dublin is Day 10. The arrival day of Manchester is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vilnius, Paris, Venice, Dublin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n         |- Try arranging to visit Nice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Dublin to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 13 - 14).\n         |- The departure day of Nice is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Paris, Venice, Dublin, Nice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Nice to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Vilnius, Paris, Venice, Dublin, Nice, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Dublin.\n**Day 8-10:** Visit Dublin for 3 days.\n**Day 10:** Fly from Dublin to Nice.\n**Day 10-13:** Visit Nice for 4 days.\n**Day 13:** Fly from Nice to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Athens**Milan**Stuttgart**Copenhagen**Dubrovnik",
    "ground_truth_durations": "3**3**3**5**4**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Milan"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Athens"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You plan to stay in Milan for 3 days. You want to spend 3 days in Athens. You would like to visit Stuttgart for 5 days. From day 7 to day 11, there is a annual show you want to attend in Stuttgart. You would like to visit Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 14 and day 17. You would like to visit Copenhagen for 4 days. You want to meet a friend in Copenhagen between day 11 and day 14.\n\nHere are the cities that have direct flights:\nAthens and Milan, Milan and Stuttgart, Athens and Dubrovnik, Milan and Copenhagen, Geneva and Athens, Geneva and Dubrovnik, Athens and Stuttgart, Copenhagen and Dubrovnik, Geneva and Copenhagen, Athens and Copenhagen, Stuttgart and Copenhagen.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You plan to stay in Milan for 3 days. You want to spend 3 days in Athens. You would like to visit Stuttgart for 5 days. From day 7 to day 11, there is a annual show you want to attend in Stuttgart. You would like to visit Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 14 and day 17. You would like to visit Copenhagen for 4 days. You want to meet a friend in Copenhagen between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Athens to Milan, from Milan to Stuttgart, from Athens to Dubrovnik, from Milan to Copenhagen, from Geneva to Athens, from Geneva to Dubrovnik, from Athens to Stuttgart, from Copenhagen to Dubrovnik, from Geneva to Copenhagen, from Athens to Copenhagen, from Stuttgart to Copenhagen.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-14:** Visit Copenhagen for 4 days.\n**Day 14:** Fly from Copenhagen to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_693",
    "estimated_output_tokens": 1555,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 7 - 11.\n* City: Copenhagen, Fixed Schedule: Day 11 - 14.\n* City: Dubrovnik, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Milan, Athens] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 11).\n |- The departure day of Geneva is Day 3. The arrival day of Stuttgart is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Athens] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 7 - 11).\n   |- The departure day of Athens is Day 5. The arrival day of Stuttgart is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 7 - 11).\n     |- The departure day of Milan is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Athens, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 11 - 14).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Copenhagen is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Athens, Milan, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stuttgart to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 14 - 17).\n         |- The departure day of Copenhagen is Day 14. The arrival day of Dubrovnik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Geneva, Athens, Milan, Stuttgart, Copenhagen].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Copenhagen to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Geneva, Athens, Milan, Stuttgart, Copenhagen, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-14:** Visit Copenhagen for 4 days.\n**Day 14:** Fly from Copenhagen to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Barcelona**Milan**Vilnius**Paris**Geneva",
    "ground_truth_durations": "4**2**5**5**3**3",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Barcelona",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You would like to visit Milan for 5 days. From day 5 to day 9, there is a annual show you want to attend in Milan. You plan to stay in Barcelona for 2 days. During day 4 and day 5, you have to attend a conference in Barcelona. You would like to visit Paris for 3 days. You would like to visit Vilnius for 5 days. You plan to stay in Athens for 4 days. You want to meet a friend in Athens between day 1 and day 4.\n\nHere are the cities that have direct flights:\nAthens and Vilnius, Barcelona and Milan, Barcelona and Geneva, Athens and Milan, Athens and Barcelona, Milan and Vilnius, Vilnius and Paris, Athens and Paris, Milan and Paris, Paris and Geneva, Athens and Geneva, Barcelona and Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You would like to visit Milan for 5 days. From day 5 to day 9, there is a annual show you want to attend in Milan. You plan to stay in Barcelona for 2 days. During day 4 and day 5, you have to attend a conference in Barcelona. You would like to visit Paris for 3 days. You would like to visit Vilnius for 5 days. You plan to stay in Athens for 4 days. You want to meet a friend in Athens between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Athens to Vilnius, from Barcelona to Milan, from Barcelona to Geneva, from Athens to Milan, from Athens to Barcelona, from Milan to Vilnius, from Vilnius to Paris, from Athens to Paris, from Milan to Paris, from Paris to Geneva, from Athens to Geneva, from Barcelona to Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_694",
    "estimated_output_tokens": 1955,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Paris, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Fixed Schedule: Day 4 - 5.\n* City: Milan, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 4 - 5).\n |- The departure day of Athens is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 5 - 9).\n   |- The departure day of Barcelona is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Barcelona to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Barcelona, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Paris, Vilnius] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Milan to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Milan to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Barcelona, Milan, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Vilnius] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Athens, Barcelona, Milan, Paris, Geneva].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Geneva to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Paris to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Milan to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Barcelona, Milan, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Paris] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Barcelona, Milan, Vilnius, Paris].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Paris to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Athens, Barcelona, Milan, Vilnius, Paris, Geneva].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Munich**Helsinki**Split**Copenhagen**Santorini",
    "ground_truth_durations": "2**3**2**4**2**4",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. You are going to attend a wedding in Split between day 5 and day 8. You want to spend 2 days in Helsinki. You plan to visit relatives in Helsinki between day 4 and day 5. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 1 and day 2. You would like to visit Munich for 3 days. You want to spend 2 days in Copenhagen. You want to spend 4 days in Santorini.\n\nHere are the cities that have direct flights:\nHelsinki and Copenhagen, Seville and Munich, Helsinki and Split, Munich and Split, Munich and Helsinki, Split and Copenhagen, Munich and Copenhagen, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. You are going to attend a wedding in Split between day 5 and day 8. You want to spend 2 days in Helsinki. You plan to visit relatives in Helsinki between day 4 and day 5. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 1 and day 2. You would like to visit Munich for 3 days. You want to spend 2 days in Copenhagen. You want to spend 4 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Copenhagen, from Seville to Munich, from Helsinki to Split, from Munich to Split, from Munich to Helsinki, from Split to Copenhagen, from Munich to Copenhagen, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Munich.\n**Day 2-4:** Visit Munich for 3 days.\n**Day 4:** Fly from Munich to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_695",
    "estimated_output_tokens": 1447,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Munich, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 4 - 5.\n* City: Split, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 4 - 5).\n |- The departure day of Seville is Day 2. The arrival day of Helsinki is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Copenhagen, Santorini] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 4 - 5).\n   |- The departure day of Munich is Day 4. The arrival day of Helsinki is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Seville, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Munich to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 5 - 8).\n     |- The departure day of Helsinki is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Seville, Munich, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n       |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Seville, Munich, Helsinki, Split].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Split to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Seville, Munich, Helsinki, Split, Copenhagen].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Copenhagen to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Seville, Munich, Helsinki, Split, Copenhagen, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Munich.\n**Day 2-4:** Visit Munich for 3 days.\n**Day 4:** Fly from Munich to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Santorini.\n**Day 9-12:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Barcelona**Krakow**Vilnius**Brussels**Naples",
    "ground_truth_durations": "5**5**3**5**5**3",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Krakow",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 9 and day 11. You want to spend 5 days in Brussels. You want to spend 3 days in Naples. You plan to stay in Barcelona for 5 days. From day 5 to day 9, there is a annual show you want to attend in Barcelona. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 1 and day 5. You plan to stay in Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nBarcelona and Krakow, Athens and Naples, from Krakow to Vilnius, Barcelona and Brussels, Barcelona and Naples, Athens and Brussels, Athens and Barcelona, Athens and Vilnius, Vilnius and Brussels, Brussels and Naples, Krakow and Brussels.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 9 and day 11. You want to spend 5 days in Brussels. You want to spend 3 days in Naples. You plan to stay in Barcelona for 5 days. From day 5 to day 9, there is a annual show you want to attend in Barcelona. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 1 and day 5. You plan to stay in Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Krakow, from Athens to Naples, from Krakow to Vilnius, from Barcelona to Brussels, from Barcelona to Naples, from Athens to Brussels, from Athens to Barcelona, from Athens to Vilnius, from Vilnius to Brussels, from Brussels to Naples, from Krakow to Brussels.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Naples.\n**Day 19-21:** Visit Naples for 3 days.",
    "id": "trip_planning_example_696",
    "estimated_output_tokens": 1928,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Brussels, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 9).\n |- The departure day of Athens is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Athens to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 9 - 11).\n   |- The departure day of Barcelona is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Athens, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Barcelona, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Naples, Vilnius] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Krakow to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Athens, Barcelona, Krakow, Brussels].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius] and explore these options in order.\n         |- Try arranging to visit Naples from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Brussels to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Athens, Barcelona, Krakow, Brussels, Naples].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Naples to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Brussels to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Athens, Barcelona, Krakow, Vilnius].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Naples] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Vilnius to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Athens, Barcelona, Krakow, Vilnius, Brussels].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Brussels to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Athens, Barcelona, Krakow, Vilnius, Brussels, Naples].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Naples.\n**Day 19-21:** Visit Naples for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Milan**Copenhagen**Warsaw**Istanbul**Salzburg",
    "ground_truth_durations": "4**5**5**3**5**5",
    "num_cities": 6,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Zurich",
        "Istanbul"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Warsaw",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 1 and day 4. You plan to stay in Warsaw for 3 days. During day 12 and day 14, you have to attend a conference in Warsaw. You want to spend 5 days in Copenhagen. You want to meet a friend in Copenhagen between day 8 and day 12. You want to spend 5 days in Salzburg. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nMilan and Warsaw, Istanbul and Salzburg, Copenhagen and Istanbul, Zurich and Warsaw, Zurich and Istanbul, Milan and Istanbul, Zurich and Milan, Copenhagen and Warsaw, Zurich and Copenhagen, Milan and Copenhagen, Warsaw and Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 1 and day 4. You plan to stay in Warsaw for 3 days. During day 12 and day 14, you have to attend a conference in Warsaw. You want to spend 5 days in Copenhagen. You want to meet a friend in Copenhagen between day 8 and day 12. You want to spend 5 days in Salzburg. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Warsaw, from Istanbul to Salzburg, from Copenhagen to Istanbul, from Zurich to Warsaw, from Zurich to Istanbul, from Milan to Istanbul, from Zurich to Milan, from Copenhagen to Warsaw, from Zurich to Copenhagen, from Milan to Copenhagen, from Warsaw to Istanbul.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 22 days:\n\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Milan.\n**Day 4-8:** Visit Milan for 5 days.\n**Day 8:** Fly from Milan to Copenhagen.\n**Day 8-12:** Visit Copenhagen for 5 days.\n**Day 12:** Fly from Copenhagen to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.\n**Day 14:** Fly from Warsaw to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-22:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_697",
    "estimated_output_tokens": 1730,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Salzburg, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Fixed Schedule: Day 8 - 12.\n* City: Warsaw, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 8 - 12).\n |- The departure day of Zurich is Day 4. The arrival day of Copenhagen is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg, Milan] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 12).\n   |- The departure day of Istanbul is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Istanbul to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 12).\n   |- The departure day of Milan is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 12 - 14).\n     |- The departure day of Copenhagen is Day 12. The arrival day of Warsaw is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Zurich, Milan, Copenhagen].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Copenhagen to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Zurich, Milan, Copenhagen, Warsaw].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Warsaw to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Zurich, Milan, Copenhagen, Warsaw, Istanbul].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Istanbul to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Zurich, Milan, Copenhagen, Warsaw, Istanbul, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Milan.\n**Day 4-8:** Visit Milan for 5 days.\n**Day 8:** Fly from Milan to Copenhagen.\n**Day 8-12:** Visit Copenhagen for 5 days.\n**Day 12:** Fly from Copenhagen to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.\n**Day 14:** Fly from Warsaw to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-22:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Berlin**Stuttgart**Hamburg**Nice**Lyon",
    "ground_truth_durations": "5**5**5**2**5**5",
    "num_cities": 6,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. From day 5 to day 9, there is a annual show you want to attend in Berlin. You would like to visit Stuttgart for 5 days. You want to spend 5 days in Nice. You want to spend 5 days in Lyon. You have to attend a workshop in Lyon between day 18 and day 22. You want to spend 2 days in Hamburg. You plan to stay in Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nVilnius and Berlin, Nice and Lyon, Berlin and Nice, Berlin and Stuttgart, Hamburg and Nice, Stuttgart and Hamburg.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. From day 5 to day 9, there is a annual show you want to attend in Berlin. You would like to visit Stuttgart for 5 days. You want to spend 5 days in Nice. You want to spend 5 days in Lyon. You have to attend a workshop in Lyon between day 18 and day 22. You want to spend 2 days in Hamburg. You plan to stay in Vilnius for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Berlin, from Nice to Lyon, from Berlin to Nice, from Berlin to Stuttgart, from Hamburg to Nice, from Stuttgart to Hamburg.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 22 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Stuttgart.\n**Day 9-13:** Visit Stuttgart for 5 days.\n**Day 13:** Fly from Stuttgart to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Nice.\n**Day 14-18:** Visit Nice for 5 days.\n**Day 18:** Fly from Nice to Lyon.\n**Day 18-22:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_698",
    "estimated_output_tokens": 2459,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 5 - 9.\n* City: Lyon, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Hamburg, Vilnius] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Stuttgart is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Nice is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Hamburg is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Vilnius] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of Nice is Day 6. The arrival day of Berlin is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Vilnius is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 18 - 22).\n   |- The departure day of Berlin is Day 9. The arrival day of Lyon is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vilnius, Berlin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Hamburg] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Berlin to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 18 - 22).\n     |- The departure day of Stuttgart is Day 13. The arrival day of Lyon is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Vilnius, Berlin, Stuttgart].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Hamburg] and explore these options in order.\n       |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Stuttgart to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Stuttgart to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 18 - 22).\n       |- The departure day of Hamburg is Day 14. The arrival day of Lyon is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vilnius, Berlin, Stuttgart, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Hamburg to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 18 - 22).\n         |- The departure day of Nice is Day 18. The arrival day of Lyon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Vilnius, Berlin, Stuttgart, Hamburg, Nice].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Nice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Vilnius, Berlin, Stuttgart, Hamburg, Nice, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Stuttgart.\n**Day 9-13:** Visit Stuttgart for 5 days.\n**Day 13:** Fly from Stuttgart to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Nice.\n**Day 14-18:** Visit Nice for 5 days.\n**Day 18:** Fly from Nice to Lyon.\n**Day 18-22:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Dublin**Helsinki**Reykjavik**London**Mykonos",
    "ground_truth_durations": "2**5**4**2**5**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "London"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Helsinki",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Mykonos. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 9 and day 10. You want to spend 5 days in Dublin. From day 2 to day 6, there is a annual show you want to attend in Dublin. You plan to stay in London for 5 days. You plan to stay in Helsinki for 4 days. You would like to visit Hamburg for 2 days. You would like to meet your friends at Hamburg between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nDublin and London, Hamburg and Dublin, Helsinki and Reykjavik, Hamburg and London, Dublin and Helsinki, Reykjavik and London, London and Mykonos, Dublin and Reykjavik, Hamburg and Helsinki, Helsinki and London.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Mykonos. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 9 and day 10. You want to spend 5 days in Dublin. From day 2 to day 6, there is a annual show you want to attend in Dublin. You plan to stay in London for 5 days. You plan to stay in Helsinki for 4 days. You would like to visit Hamburg for 2 days. You would like to meet your friends at Hamburg between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nfrom Dublin to London, from Hamburg to Dublin, from Helsinki to Reykjavik, from Hamburg to London, from Dublin to Helsinki, from Reykjavik to London, from London to Mykonos, from Dublin to Reykjavik, from Hamburg to Helsinki, from Helsinki to London.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to London.\n**Day 10-14:** Visit London for 5 days.\n**Day 14:** Fly from London to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_699",
    "estimated_output_tokens": 1703,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: London, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Fixed Schedule: Day 2 - 6.\n* City: Reykjavik, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 2 - 6).\n |- The departure day of Hamburg is Day 2. The arrival day of Dublin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 9 - 10).\n   |- The departure day of Dublin is Day 6. The arrival day of Reykjavik is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, London, Helsinki] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dublin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dublin to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 9 - 10).\n     |- The departure day of London is Day 10. The arrival day of Reykjavik is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dublin to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 9 - 10).\n     |- The departure day of Helsinki is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Dublin, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Helsinki to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Dublin, Helsinki, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, London] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Dublin, Helsinki, Reykjavik, London].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from London to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Hamburg, Dublin, Helsinki, Reykjavik, London, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to London.\n**Day 10-14:** Visit London for 5 days.\n**Day 14:** Fly from London to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Munich**Dubrovnik**Helsinki**Paris**Prague",
    "ground_truth_durations": "3**4**3**5**5**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Paris"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Munich",
        "Prague"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Bucharest",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You would like to meet your friends at Bucharest between day 1 and day 3 to tour together. You would like to visit Dubrovnik for 3 days. From day 6 to day 8, there is a annual show you want to attend in Dubrovnik. You plan to stay in Munich for 4 days. You plan to stay in Prague for 4 days. You plan to stay in Helsinki for 5 days. You plan to stay in Paris for 5 days. You are going to attend a wedding in Paris between day 12 and day 16.\n\nHere are the cities that have direct flights:\nMunich and Dubrovnik, Munich and Paris, Dubrovnik and Helsinki, Helsinki and Paris, Munich and Helsinki, Bucharest and Paris, Munich and Prague, Paris and Prague, Bucharest and Munich, Helsinki and Prague, Bucharest and Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You would like to meet your friends at Bucharest between day 1 and day 3 to tour together. You would like to visit Dubrovnik for 3 days. From day 6 to day 8, there is a annual show you want to attend in Dubrovnik. You plan to stay in Munich for 4 days. You plan to stay in Prague for 4 days. You plan to stay in Helsinki for 5 days. You plan to stay in Paris for 5 days. You are going to attend a wedding in Paris between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Munich to Dubrovnik, from Munich to Paris, from Dubrovnik to Helsinki, from Helsinki to Paris, from Munich to Helsinki, from Bucharest to Paris, from Munich to Prague, from Paris to Prague, from Bucharest to Munich, from Helsinki to Prague, from Bucharest to Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Helsinki.\n**Day 8-12:** Visit Helsinki for 5 days.\n**Day 12:** Fly from Helsinki to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Prague.\n**Day 16-19:** Visit Prague for 4 days.",
    "id": "trip_planning_example_700",
    "estimated_output_tokens": 1554,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Munich, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Fixed Schedule: Day 6 - 8.\n* City: Paris, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 6 - 8).\n |- The departure day of Bucharest is Day 3. The arrival day of Dubrovnik is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Prague, Helsinki] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 6 - 8).\n   |- The departure day of Munich is Day 6. The arrival day of Dubrovnik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 12 - 16).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Paris is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Helsinki] and explore these options in order.\n       |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Paris (Day 12 - 16).\n       |- The departure day of Helsinki is Day 12. The arrival day of Paris is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Munich, Dubrovnik, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Helsinki to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Bucharest, Munich, Dubrovnik, Helsinki, Paris].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n           |- Try arranging to visit Prague from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Paris to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Munich, Dubrovnik, Helsinki, Paris, Prague].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Helsinki.\n**Day 8-12:** Visit Helsinki for 5 days.\n**Day 12:** Fly from Helsinki to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Prague.\n**Day 16-19:** Visit Prague for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Budapest**Frankfurt**Florence**Paris**Prague",
    "ground_truth_durations": "3**3**2**2**5**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Warsaw",
        "Paris"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Budapest",
        "Prague"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Paris",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. During day 7 and day 11, you have to attend a conference in Paris. You plan to stay in Florence for 2 days. You want to spend 3 days in Budapest. You want to spend 3 days in Warsaw. From day 1 to day 3, there is a annual show you want to attend in Warsaw. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 11 and day 13. You want to spend 2 days in Frankfurt.\n\nHere are the cities that have direct flights:\nWarsaw and Budapest, Warsaw and Paris, Budapest and Frankfurt, Frankfurt and Florence, Budapest and Paris, Frankfurt and Prague, Warsaw and Frankfurt, Florence and Paris, Florence and Prague, Frankfurt and Paris, Budapest and Prague, Warsaw and Prague, Paris and Prague.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. During day 7 and day 11, you have to attend a conference in Paris. You plan to stay in Florence for 2 days. You want to spend 3 days in Budapest. You want to spend 3 days in Warsaw. From day 1 to day 3, there is a annual show you want to attend in Warsaw. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 11 and day 13. You want to spend 2 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Budapest, from Warsaw to Paris, from Budapest to Frankfurt, from Frankfurt to Florence, from Budapest to Paris, from Frankfurt to Prague, from Warsaw to Frankfurt, from Florence to Paris, from Florence to Prague, from Frankfurt to Paris, from Budapest to Prague, from Warsaw to Prague, from Paris to Prague.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Budapest.\n**Day 3-5:** Visit Budapest for 3 days.\n**Day 5:** Fly from Budapest to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Florence.\n**Day 6-7:** Visit Florence for 2 days.\n**Day 7:** Fly from Florence to Paris.\n**Day 7-11:** Visit Paris for 5 days.\n**Day 11:** Fly from Paris to Prague.\n**Day 11-13:** Visit Prague for 3 days.",
    "id": "trip_planning_example_701",
    "estimated_output_tokens": 1581,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Florence, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Frankfurt, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 3.\n* City: Paris, Fixed Schedule: Day 7 - 11.\n* City: Prague, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 7 - 11).\n |- The departure day of Warsaw is Day 3. The arrival day of Paris is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Budapest, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Warsaw to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Warsaw to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 7 - 11).\n   |- The departure day of Budapest is Day 5. The arrival day of Paris is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 7 - 11).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Paris is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Warsaw, Budapest, Frankfurt].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n       |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Frankfurt to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 7 - 11).\n       |- The departure day of Florence is Day 7. The arrival day of Paris is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Warsaw, Budapest, Frankfurt, Florence].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Florence to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 11 - 13).\n         |- The departure day of Paris is Day 11. The arrival day of Prague is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Warsaw, Budapest, Frankfurt, Florence, Paris].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Prague.\n           |- Try arranging to visit Prague from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Paris to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Warsaw, Budapest, Frankfurt, Florence, Paris, Prague].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Budapest.\n**Day 3-5:** Visit Budapest for 3 days.\n**Day 5:** Fly from Budapest to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Florence.\n**Day 6-7:** Visit Florence for 2 days.\n**Day 7:** Fly from Florence to Paris.\n**Day 7-11:** Visit Paris for 5 days.\n**Day 11:** Fly from Paris to Prague.\n**Day 11-13:** Visit Prague for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Copenhagen**Edinburgh**Seville**Valencia**Lyon",
    "ground_truth_durations": "3**4**5**2**4**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 14 and day 16. You would like to visit Edinburgh for 5 days. You plan to stay in Copenhagen for 4 days. You plan to stay in Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 1 and day 3 to tour together. You want to spend 2 days in Seville. You want to meet a friend in Seville between day 10 and day 11.\n\nHere are the cities that have direct flights:\nDubrovnik and Copenhagen, Copenhagen and Valencia, Valencia and Lyon, Seville and Valencia, Copenhagen and Edinburgh, Edinburgh and Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 14 and day 16. You would like to visit Edinburgh for 5 days. You plan to stay in Copenhagen for 4 days. You plan to stay in Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 1 and day 3 to tour together. You want to spend 2 days in Seville. You want to meet a friend in Seville between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Copenhagen, from Copenhagen to Valencia, from Valencia to Lyon, from Seville to Valencia, from Copenhagen to Edinburgh, from Edinburgh to Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Copenhagen.\n**Day 3-6:** Visit Copenhagen for 4 days.\n**Day 6:** Fly from Copenhagen to Edinburgh.\n**Day 6-10:** Visit Edinburgh for 5 days.\n**Day 10:** Fly from Edinburgh to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_702",
    "estimated_output_tokens": 1887,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Edinburgh, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 3.\n* City: Seville, Fixed Schedule: Day 10 - 11.\n* City: Lyon, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 10 - 11).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Seville is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 10 - 11).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Seville is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Copenhagen to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 10 - 11).\n     |- The departure day of Valencia is Day 9. The arrival day of Seville is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Copenhagen, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Valencia to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 10 - 11).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Seville is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Copenhagen, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 14 - 16).\n       |- The departure day of Seville is Day 11. The arrival day of Lyon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Copenhagen, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Seville to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 14 - 16).\n         |- The departure day of Valencia is Day 14. The arrival day of Lyon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Copenhagen, Edinburgh, Seville, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Copenhagen, Edinburgh, Seville, Valencia, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Copenhagen.\n**Day 3-6:** Visit Copenhagen for 4 days.\n**Day 6:** Fly from Copenhagen to Edinburgh.\n**Day 6-10:** Visit Edinburgh for 5 days.\n**Day 10:** Fly from Edinburgh to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Milan**Riga**Manchester**Brussels**Florence",
    "ground_truth_durations": "3**3**4**4**3**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Florence"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You are going to attend a wedding in Manchester between day 8 and day 11. You would like to visit Riga for 4 days. You want to meet a friend in Riga between day 5 and day 8. You plan to stay in Florence for 3 days. You would like to visit Brussels for 3 days. You would like to visit Split for 3 days. You want to spend 3 days in Milan. You plan to visit relatives in Milan between day 3 and day 5.\n\nHere are the cities that have direct flights:\nBrussels and Florence, Split and Milan, Riga and Brussels, Milan and Riga, Riga and Manchester, Manchester and Brussels, Milan and Brussels, Milan and Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You are going to attend a wedding in Manchester between day 8 and day 11. You would like to visit Riga for 4 days. You want to meet a friend in Riga between day 5 and day 8. You plan to stay in Florence for 3 days. You would like to visit Brussels for 3 days. You would like to visit Split for 3 days. You want to spend 3 days in Milan. You plan to visit relatives in Milan between day 3 and day 5.\n\nHere are the cities that have direct flights:\nfrom Brussels to Florence, from Split to Milan, from Riga to Brussels, from Milan to Riga, from Riga to Manchester, from Manchester to Brussels, from Milan to Brussels, from Milan to Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Manchester.\n**Day 8-11:** Visit Manchester for 4 days.\n**Day 11:** Fly from Manchester to Brussels.\n**Day 11-13:** Visit Brussels for 3 days.\n**Day 13:** Fly from Brussels to Florence.\n**Day 13-15:** Visit Florence for 3 days.",
    "id": "trip_planning_example_703",
    "estimated_output_tokens": 1959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Florence, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n* City: Split, Duration: 3 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 3 - 5.\n* City: Riga, Fixed Schedule: Day 5 - 8.\n* City: Manchester, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Florence, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Brussels, Split] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Florence is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Brussels is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Split is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 5 - 8).\n   |- The departure day of Milan is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 8 - 11).\n     |- The departure day of Riga is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Milan, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Milan, Riga, Manchester].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Brussels] and explore these options in order.\n         |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Split, Milan, Riga, Manchester, Brussels].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Brussels to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Split, Milan, Riga, Manchester, Brussels, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Manchester.\n**Day 8-11:** Visit Manchester for 4 days.\n**Day 11:** Fly from Manchester to Brussels.\n**Day 11-13:** Visit Brussels for 3 days.\n**Day 13:** Fly from Brussels to Florence.\n**Day 13-15:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Brussels**Barcelona**Santorini**Milan**Edinburgh",
    "ground_truth_durations": "4**4**2**3**2**5",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Brussels",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Santorini",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 4 days. You want to spend 3 days in Santorini. From day 8 to day 10, there is a annual show you want to attend in Santorini. You plan to stay in Milan for 2 days. During day 10 and day 11, you have to attend a conference in Milan. You want to spend 4 days in Lyon. You are going to attend a wedding in Lyon between day 1 and day 4. You plan to stay in Barcelona for 2 days. You plan to stay in Edinburgh for 5 days.\n\nHere are the cities that have direct flights:\nMilan and Edinburgh, Brussels and Milan, Barcelona and Edinburgh, Barcelona and Milan, Brussels and Barcelona, Barcelona and Santorini, Lyon and Barcelona, Brussels and Edinburgh, Lyon and Brussels, Santorini and Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 4 days. You want to spend 3 days in Santorini. From day 8 to day 10, there is a annual show you want to attend in Santorini. You plan to stay in Milan for 2 days. During day 10 and day 11, you have to attend a conference in Milan. You want to spend 4 days in Lyon. You are going to attend a wedding in Lyon between day 1 and day 4. You plan to stay in Barcelona for 2 days. You plan to stay in Edinburgh for 5 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Edinburgh, from Brussels to Milan, from Barcelona to Edinburgh, from Barcelona to Milan, from Brussels to Barcelona, from Barcelona to Santorini, from Lyon to Barcelona, from Brussels to Edinburgh, from Lyon to Brussels, from Santorini to Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.",
    "id": "trip_planning_example_704",
    "estimated_output_tokens": 1491,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Fixed Schedule: Day 8 - 10.\n* City: Milan, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 10).\n |- The departure day of Lyon is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Barcelona, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 10).\n   |- The departure day of Brussels is Day 7. The arrival day of Santorini is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Brussels to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 8 - 10).\n     |- The departure day of Barcelona is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Brussels, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n       |- The departure day of Santorini is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Brussels, Barcelona, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Brussels, Barcelona, Santorini, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Milan to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Brussels, Barcelona, Santorini, Milan, Edinburgh].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Brussels.\n**Day 4-7:** Visit Brussels for 4 days.\n**Day 7:** Fly from Brussels to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lyon**Nice**Manchester**Munich**Tallinn",
    "ground_truth_durations": "2**4**5**4**4**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Munich"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Lyon",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 5 and day 9. You would like to visit Manchester for 4 days. During day 9 and day 12, you have to attend a conference in Manchester. You would like to visit Valencia for 2 days. You plan to stay in Tallinn for 5 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nNice and Munich, Valencia and Lyon, Nice and Manchester, Lyon and Munich, Munich and Tallinn, Manchester and Munich, Valencia and Munich, Lyon and Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 5 and day 9. You would like to visit Manchester for 4 days. During day 9 and day 12, you have to attend a conference in Manchester. You would like to visit Valencia for 2 days. You plan to stay in Tallinn for 5 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Munich, from Valencia to Lyon, from Nice to Manchester, from Lyon to Munich, from Munich to Tallinn, from Manchester to Munich, from Valencia to Munich, from Lyon to Nice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Lyon.\n**Day 2-5:** Visit Lyon for 4 days.\n**Day 5:** Fly from Lyon to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Munich.\n**Day 12-15:** Visit Munich for 4 days.\n**Day 15:** Fly from Munich to Tallinn.\n**Day 15-19:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_705",
    "estimated_output_tokens": 2136,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 4 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Valencia, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 5 - 9.\n* City: Manchester, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Valencia, Tallinn, Lyon] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 5 - 9).\n |- The departure day of Munich is Day 4. The arrival day of Nice is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Lyon] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Munich to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 5 - 9).\n   |- The departure day of Tallinn is Day 8. The arrival day of Nice is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 5 - 9).\n |- The departure day of Valencia is Day 2. The arrival day of Nice is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 5 - 9).\n   |- The departure day of Munich is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 5 - 9).\n   |- The departure day of Lyon is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Lyon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lyon to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 9 - 12).\n     |- The departure day of Nice is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Lyon, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Lyon, Nice, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn] and explore these options in order.\n         |- Try arranging to visit Munich from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Manchester to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Lyon, Nice, Manchester, Munich].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Munich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Lyon, Nice, Manchester, Munich, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Lyon.\n**Day 2-5:** Visit Lyon for 4 days.\n**Day 5:** Fly from Lyon to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Munich.\n**Day 12-15:** Visit Munich for 4 days.\n**Day 15:** Fly from Munich to Tallinn.\n**Day 15-19:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Barcelona**Riga**Vilnius**Istanbul**London",
    "ground_truth_durations": "3**2**4**4**5**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "London"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Barcelona",
        "London"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Riga",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You plan to stay in Valencia for 3 days. From day 1 to day 3, there is a annual show you want to attend in Valencia. You would like to visit Riga for 4 days. You want to spend 3 days in London. You would like to meet your friends at London between day 14 and day 16 to tour together. You want to spend 4 days in Vilnius. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and London, Vilnius and Istanbul, Valencia and Barcelona, Barcelona and Istanbul, Valencia and Istanbul, Barcelona and London, Valencia and London, Barcelona and Riga, Riga and Istanbul, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Istanbul. You plan to stay in Valencia for 3 days. From day 1 to day 3, there is a annual show you want to attend in Valencia. You would like to visit Riga for 4 days. You want to spend 3 days in London. You would like to meet your friends at London between day 14 and day 16 to tour together. You want to spend 4 days in Vilnius. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to London, from Vilnius to Istanbul, from Valencia to Barcelona, from Barcelona to Istanbul, from Valencia to Istanbul, from Barcelona to London, from Valencia to London, from Barcelona to Riga, from Riga to Istanbul, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-10:** Visit Vilnius for 4 days.\n**Day 10:** Fly from Vilnius to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to London.\n**Day 14-16:** Visit London for 3 days.",
    "id": "trip_planning_example_706",
    "estimated_output_tokens": 2557,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Riga, Duration: 4 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Vilnius, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 14 - 16).\n |- The departure day of Valencia is Day 3. The arrival day of London is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Vilnius, Barcelona] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 14 - 16).\n   |- The departure day of Istanbul is Day 7. The arrival day of London is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius, Barcelona] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 14 - 16).\n   |- The departure day of Barcelona is Day 4. The arrival day of London is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Vilnius] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Barcelona to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 14 - 16).\n     |- The departure day of Istanbul is Day 8. The arrival day of London is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Barcelona, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Barcelona to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 14 - 16).\n     |- The departure day of Riga is Day 7. The arrival day of London is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Barcelona, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 14 - 16).\n       |- The departure day of Istanbul is Day 11. The arrival day of London is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Barcelona, Riga, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Istanbul to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 14 - 16).\n       |- The departure day of Vilnius is Day 10. The arrival day of London is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Barcelona, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Vilnius to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: London (Day 14 - 16).\n         |- The departure day of Istanbul is Day 14. The arrival day of London is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Barcelona, Riga, Vilnius, Istanbul].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: London.\n           |- Try arranging to visit London from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Istanbul to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Barcelona, Riga, Vilnius, Istanbul, London].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-10:** Visit Vilnius for 4 days.\n**Day 10:** Fly from Vilnius to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to London.\n**Day 14-16:** Visit London for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Venice**Naples**Bucharest**Amsterdam**Hamburg",
    "ground_truth_durations": "2**5**4**4**3**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Naples"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Nice",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Bucharest. From day 9 to day 12, there is a annual show you want to attend in Bucharest. You plan to stay in Nice for 2 days. You plan to stay in Venice for 5 days. You plan to visit relatives in Venice between day 2 and day 6. You want to spend 2 days in Hamburg. You have to attend a workshop in Hamburg between day 14 and day 15. You want to spend 4 days in Naples. You want to spend 3 days in Amsterdam.\n\nHere are the cities that have direct flights:\nVenice and Naples, Nice and Naples, Nice and Amsterdam, Amsterdam and Hamburg, Bucharest and Hamburg, Venice and Hamburg, Naples and Amsterdam, Nice and Hamburg, Venice and Amsterdam, Naples and Bucharest, Bucharest and Amsterdam, Nice and Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Bucharest. From day 9 to day 12, there is a annual show you want to attend in Bucharest. You plan to stay in Nice for 2 days. You plan to stay in Venice for 5 days. You plan to visit relatives in Venice between day 2 and day 6. You want to spend 2 days in Hamburg. You have to attend a workshop in Hamburg between day 14 and day 15. You want to spend 4 days in Naples. You want to spend 3 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Venice to Naples, from Nice to Naples, from Nice to Amsterdam, from Amsterdam to Hamburg, from Bucharest to Hamburg, from Venice to Hamburg, from Naples to Amsterdam, from Nice to Hamburg, from Venice to Amsterdam, from Naples to Bucharest, from Bucharest to Amsterdam, from Nice to Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Venice.\n**Day 2-6:** Visit Venice for 5 days.\n**Day 6:** Fly from Venice to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Hamburg.\n**Day 14-15:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_707",
    "estimated_output_tokens": 1500,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Nice, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Naples, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 2 - 6.\n* City: Bucharest, Fixed Schedule: Day 9 - 12.\n* City: Hamburg, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Naples, Amsterdam] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 6).\n |- The departure day of Nice is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 9 - 12).\n   |- The departure day of Venice is Day 6. The arrival day of Bucharest is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 9 - 12).\n     |- The departure day of Naples is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Naples to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 14 - 15).\n       |- The departure day of Bucharest is Day 12. The arrival day of Hamburg is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Nice, Venice, Naples, Bucharest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Bucharest to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 14 - 15).\n         |- The departure day of Amsterdam is Day 14. The arrival day of Hamburg is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Nice, Venice, Naples, Bucharest, Amsterdam].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Amsterdam to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Nice, Venice, Naples, Bucharest, Amsterdam, Hamburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Venice.\n**Day 2-6:** Visit Venice for 5 days.\n**Day 6:** Fly from Venice to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Hamburg.\n**Day 14-15:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Brussels**Riga**Prague**Athens**Mykonos",
    "ground_truth_durations": "4**3**4**3**5**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Riga"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Riga",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 5 days. You are going to attend a wedding in Mykonos between day 15 and day 19. You want to spend 4 days in Copenhagen. During day 1 and day 4, you have to attend a conference in Copenhagen. You would like to visit Athens for 5 days. You plan to stay in Brussels for 3 days. You would like to meet your friends at Brussels between day 4 and day 6 to tour together. You want to spend 3 days in Prague. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nBrussels and Riga, Prague and Athens, Copenhagen and Prague, Copenhagen and Athens, Athens and Mykonos, Copenhagen and Brussels, from Athens to Riga, Brussels and Prague, Brussels and Athens, Copenhagen and Riga, Riga and Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 5 days. You are going to attend a wedding in Mykonos between day 15 and day 19. You want to spend 4 days in Copenhagen. During day 1 and day 4, you have to attend a conference in Copenhagen. You would like to visit Athens for 5 days. You plan to stay in Brussels for 3 days. You would like to meet your friends at Brussels between day 4 and day 6 to tour together. You want to spend 3 days in Prague. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Brussels to Riga, from Prague to Athens, from Copenhagen to Prague, from Copenhagen to Athens, from Athens to Mykonos, from Copenhagen to Brussels, from Athens to Riga, from Brussels to Prague, from Brussels to Athens, from Copenhagen to Riga, from Riga to Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Mykonos.\n**Day 15-19:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_708",
    "estimated_output_tokens": 3075,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Athens, Duration: 5 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Prague, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Fixed Schedule: Day 4 - 6.\n* City: Mykonos, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Prague, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 6).\n |- The departure day of Copenhagen is Day 4. The arrival day of Brussels is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Copenhagen to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 15 - 19).\n   |- The departure day of Brussels is Day 6. The arrival day of Mykonos is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Prague, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 15 - 19).\n     |- The departure day of Athens is Day 10. The arrival day of Mykonos is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Brussels, Athens].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Riga] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Athens to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Athens to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Mykonos (Day 15 - 19).\n       |- The departure day of Riga is Day 13. The arrival day of Mykonos is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Brussels, Athens, Riga].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n         |- Try arranging to visit Prague from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Riga to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 15 - 19).\n         |- The departure day of Prague is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Brussels, Athens, Riga, Prague].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Prague to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Brussels to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 15 - 19).\n     |- The departure day of Prague is Day 8. The arrival day of Mykonos is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Brussels, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Riga] and explore these options in order.\n       |- Try arranging to visit Athens from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 15 - 19).\n       |- The departure day of Athens is Day 12. The arrival day of Mykonos is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Brussels, Prague, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 15 - 19).\n         |- The departure day of Riga is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Brussels, Prague, Athens, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Riga to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 15 - 19).\n     |- The departure day of Riga is Day 9. The arrival day of Mykonos is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Brussels, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Prague] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 15 - 19).\n       |- The departure day of Prague is Day 11. The arrival day of Mykonos is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Brussels, Riga, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Prague to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 15 - 19).\n         |- The departure day of Athens is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Brussels, Riga, Prague, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Athens to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Copenhagen, Brussels, Riga, Prague, Athens, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Mykonos.\n**Day 15-19:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Helsinki**Reykjavik**Prague**Valencia**Porto",
    "ground_truth_durations": "4**4**4**3**5**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You would like to visit Valencia for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Porto for 3 days. You want to meet a friend in Porto between day 16 and day 18. You want to spend 3 days in Prague. You want to spend 4 days in Reykjavik.\n\nHere are the cities that have direct flights:\nHelsinki and Prague, Prague and Valencia, Valencia and Porto, Helsinki and Reykjavik, Dubrovnik and Helsinki, Reykjavik and Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You would like to visit Valencia for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Porto for 3 days. You want to meet a friend in Porto between day 16 and day 18. You want to spend 3 days in Prague. You want to spend 4 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Prague, from Prague to Valencia, from Valencia to Porto, from Helsinki to Reykjavik, from Dubrovnik to Helsinki, from Reykjavik to Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Reykjavik.\n**Day 7-10:** Visit Reykjavik for 4 days.\n**Day 10:** Fly from Reykjavik to Prague.\n**Day 10-12:** Visit Prague for 3 days.\n**Day 12:** Fly from Prague to Valencia.\n**Day 12-16:** Visit Valencia for 5 days.\n**Day 16:** Fly from Valencia to Porto.\n**Day 16-18:** Visit Porto for 3 days.",
    "id": "trip_planning_example_709",
    "estimated_output_tokens": 4384,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Prague, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Dubrovnik, Prague, Reykjavik] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 16 - 18).\n |- The departure day of Helsinki is Day 4. The arrival day of Porto is Day 16. Day 4 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Prague, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 16 - 18).\n   |- The departure day of Prague is Day 6. The arrival day of Porto is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 16 - 18).\n     |- The departure day of Valencia is Day 10. The arrival day of Porto is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Prague, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 16 - 18).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Porto is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Reykjavik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Prague] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Reykjavik to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Reykjavik to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 16 - 18).\n     |- The departure day of Prague is Day 9. The arrival day of Porto is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Reykjavik, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 16 - 18).\n       |- The departure day of Valencia is Day 13. The arrival day of Porto is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Helsinki, Reykjavik, Prague, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 16 - 18).\n |- The departure day of Valencia is Day 5. The arrival day of Porto is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik, Prague, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 16 - 18).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Porto is Day 16. Day 4 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Prague, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 16 - 18).\n   |- The departure day of Helsinki is Day 7. The arrival day of Porto is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Prague, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 16 - 18).\n     |- The departure day of Prague is Day 9. The arrival day of Porto is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Helsinki, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 16 - 18).\n       |- The departure day of Valencia is Day 13. The arrival day of Porto is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dubrovnik, Helsinki, Prague, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Valencia to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 16 - 18).\n     |- The departure day of Reykjavik is Day 10. The arrival day of Porto is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Helsinki, Reykjavik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Prague] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Reykjavik to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 16 - 18).\n       |- The departure day of Prague is Day 12. The arrival day of Porto is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Helsinki, Reykjavik, Prague].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Prague to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 16 - 18).\n         |- The departure day of Valencia is Day 16. The arrival day of Porto is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Dubrovnik, Helsinki, Reykjavik, Prague, Valencia].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Valencia to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dubrovnik, Helsinki, Reykjavik, Prague, Valencia, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-7:** Visit Helsinki for 4 days.\n**Day 7:** Fly from Helsinki to Reykjavik.\n**Day 7-10:** Visit Reykjavik for 4 days.\n**Day 10:** Fly from Reykjavik to Prague.\n**Day 10-12:** Visit Prague for 3 days.\n**Day 12:** Fly from Prague to Valencia.\n**Day 12-16:** Visit Valencia for 5 days.\n**Day 16:** Fly from Valencia to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Prague**London**Santorini**Oslo**Porto",
    "ground_truth_durations": "4**2**4**3**5**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Oslo"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Oslo",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You plan to stay in Edinburgh for 4 days. You plan to stay in Santorini for 3 days. You would like to visit Prague for 2 days. From day 4 to day 5, there is a annual show you want to attend in Prague. You want to spend 4 days in London. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Oslo, from Santorini to Oslo, Edinburgh and London, London and Santorini, Prague and London, Edinburgh and Oslo, Prague and Oslo, Edinburgh and Prague, Edinburgh and Porto, Oslo and Porto.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You plan to stay in Edinburgh for 4 days. You plan to stay in Santorini for 3 days. You would like to visit Prague for 2 days. From day 4 to day 5, there is a annual show you want to attend in Prague. You want to spend 4 days in London. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Oslo, from Santorini to Oslo, from Edinburgh to London, from London to Santorini, from Prague to London, from Edinburgh to Oslo, from Prague to Oslo, from Edinburgh to Prague, from Edinburgh to Porto, from Oslo to Porto.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Porto.\n**Day 14-18:** Visit Porto for 5 days.",
    "id": "trip_planning_example_710",
    "estimated_output_tokens": 1664,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: London, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Edinburgh, Santorini, London, Oslo] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 5).\n |- The departure day of Porto is Day 5. The arrival day of Prague is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 5).\n |- The departure day of Edinburgh is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Santorini, London, Oslo] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Prague, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Santorini, Oslo] and explore these options in order.\n       |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Edinburgh, Prague, London, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Oslo] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Edinburgh, Prague, London, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Oslo to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Edinburgh, Prague, London, Santorini, Oslo, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Porto.\n**Day 14-18:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Oslo**Dubrovnik**Helsinki**Warsaw**Valencia",
    "ground_truth_durations": "2**4**3**2**2**5",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to visit Oslo for 4 days. You want to spend 5 days in Valencia. You want to spend 2 days in Warsaw. You want to spend 2 days in Santorini. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nOslo and Dubrovnik, Oslo and Warsaw, Dubrovnik and Helsinki, Warsaw and Valencia, from Santorini to Oslo, Oslo and Helsinki, Helsinki and Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to visit Oslo for 4 days. You want to spend 5 days in Valencia. You want to spend 2 days in Warsaw. You want to spend 2 days in Santorini. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Dubrovnik, from Oslo to Warsaw, from Dubrovnik to Helsinki, from Warsaw to Valencia, from Santorini to Oslo, from Oslo to Helsinki, from Helsinki to Warsaw.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Oslo.\n**Day 2-5:** Visit Oslo for 4 days.\n**Day 5:** Fly from Oslo to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Helsinki.\n**Day 7-8:** Visit Helsinki for 2 days.\n**Day 8:** Fly from Helsinki to Warsaw.\n**Day 8-9:** Visit Warsaw for 2 days.\n**Day 9:** Fly from Warsaw to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_711",
    "estimated_output_tokens": 7824,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Oslo, Valencia, Warsaw, Santorini, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Valencia, Warsaw, Santorini, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Helsinki, Warsaw].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Valencia, Santorini, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Warsaw to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Warsaw to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Warsaw, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Santorini, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Helsinki to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Warsaw, Santorini, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Oslo to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Warsaw, Santorini, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Oslo, Helsinki, Warsaw].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Santorini, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Warsaw to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Helsinki, Warsaw, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Warsaw to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Helsinki to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Oslo to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Santorini, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Warsaw to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Warsaw to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Warsaw, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Oslo to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Oslo to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Warsaw, Santorini] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Dubrovnik, Helsinki].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Warsaw, Santorini] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Helsinki to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Helsinki to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Oslo, Dubrovnik, Helsinki, Warsaw].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Santorini] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Warsaw to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Oslo, Dubrovnik, Helsinki, Warsaw, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Valencia to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Warsaw to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Helsinki to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Oslo, Warsaw, Santorini, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Oslo, Valencia, Santorini, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Oslo, Santorini, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Valencia to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Valencia to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Oslo, Valencia, Warsaw, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Warsaw, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Santorini, Oslo, Helsinki].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Warsaw, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Helsinki to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Helsinki to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Santorini, Oslo, Helsinki, Warsaw].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Warsaw to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Oslo, Helsinki, Warsaw, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Valencia to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Warsaw to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Helsinki to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Santorini, Oslo, Warsaw].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Warsaw to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Warsaw to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Oslo, Warsaw, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Warsaw to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Oslo, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Warsaw] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Oslo, Dubrovnik, Helsinki].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Warsaw] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Helsinki to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Santorini, Oslo, Dubrovnik, Helsinki, Warsaw].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Warsaw to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Oslo, Dubrovnik, Helsinki, Warsaw, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Oslo.\n**Day 2-5:** Visit Oslo for 4 days.\n**Day 5:** Fly from Oslo to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Helsinki.\n**Day 7-8:** Visit Helsinki for 2 days.\n**Day 8:** Fly from Helsinki to Warsaw.\n**Day 8-9:** Visit Warsaw for 2 days.\n**Day 9:** Fly from Warsaw to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Oslo**Reykjavik**Stuttgart**Lisbon**Seville",
    "ground_truth_durations": "3**2**2**5**3**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You want to spend 3 days in Edinburgh. During day 1 and day 3, you have to attend a conference in Edinburgh. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 3 and day 4. You want to spend 2 days in Reykjavik. You want to spend 3 days in Seville. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Reykjavik, Lisbon and Seville, Edinburgh and Oslo, Edinburgh and Seville, Edinburgh and Stuttgart, Stuttgart and Lisbon, Reykjavik and Lisbon, Oslo and Lisbon, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You want to spend 3 days in Edinburgh. During day 1 and day 3, you have to attend a conference in Edinburgh. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 3 and day 4. You want to spend 2 days in Reykjavik. You want to spend 3 days in Seville. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Reykjavik, from Lisbon to Seville, from Edinburgh to Oslo, from Edinburgh to Seville, from Edinburgh to Stuttgart, from Stuttgart to Lisbon, from Reykjavik to Lisbon, from Oslo to Lisbon, from Reykjavik to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Stuttgart.\n**Day 5-9:** Visit Stuttgart for 5 days.\n**Day 9:** Fly from Stuttgart to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Seville.\n**Day 11-13:** Visit Seville for 3 days.",
    "id": "trip_planning_example_712",
    "estimated_output_tokens": 2458,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Reykjavik, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 3 - 4.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 4).\n |- The departure day of Edinburgh is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Edinburgh to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Reykjavik, Seville, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Edinburgh, Oslo, Lisbon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lisbon to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Edinburgh, Oslo, Lisbon, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Seville to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Seville to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Seville, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Reykjavik to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Edinburgh, Oslo, Reykjavik, Lisbon].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Lisbon to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Edinburgh, Oslo, Reykjavik, Lisbon, Seville].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Seville to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Lisbon to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Reykjavik to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Oslo, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Seville] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stuttgart to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Edinburgh, Oslo, Reykjavik, Stuttgart, Lisbon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Lisbon to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Edinburgh, Oslo, Reykjavik, Stuttgart, Lisbon, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Stuttgart.\n**Day 5-9:** Visit Stuttgart for 5 days.\n**Day 9:** Fly from Stuttgart to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Istanbul**Frankfurt**Tallinn**Munich**Bucharest",
    "ground_truth_durations": "3**5**5**3**5**4",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Budapest",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You would like to visit Munich for 5 days. You want to spend 4 days in Bucharest. During day 17 and day 20, you have to attend a conference in Bucharest. You want to spend 3 days in Tallinn. You plan to stay in Budapest for 3 days. You are going to attend a wedding in Budapest between day 1 and day 3. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 7 and day 11.\n\nHere are the cities that have direct flights:\nFrankfurt and Tallinn, Istanbul and Bucharest, Istanbul and Munich, Budapest and Bucharest, Frankfurt and Bucharest, from Istanbul to Tallinn, Budapest and Frankfurt, Frankfurt and Munich, Istanbul and Frankfurt, Tallinn and Munich, Budapest and Munich, Munich and Bucharest, Budapest and Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You would like to visit Munich for 5 days. You want to spend 4 days in Bucharest. During day 17 and day 20, you have to attend a conference in Bucharest. You want to spend 3 days in Tallinn. You plan to stay in Budapest for 3 days. You are going to attend a wedding in Budapest between day 1 and day 3. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Tallinn, from Istanbul to Bucharest, from Istanbul to Munich, from Budapest to Bucharest, from Frankfurt to Bucharest, from Istanbul to Tallinn, from Budapest to Frankfurt, from Frankfurt to Munich, from Istanbul to Frankfurt, from Tallinn to Munich, from Budapest to Munich, from Munich to Bucharest, from Budapest to Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Munich.\n**Day 13-17:** Visit Munich for 5 days.\n**Day 17:** Fly from Munich to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_713",
    "estimated_output_tokens": 1787,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Tallinn, Duration: 3 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 3.\n* City: Frankfurt, Fixed Schedule: Day 7 - 11.\n* City: Bucharest, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 7 - 11).\n |- The departure day of Budapest is Day 3. The arrival day of Frankfurt is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Munich, Tallinn] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 7 - 11).\n   |- The departure day of Istanbul is Day 7. The arrival day of Frankfurt is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Istanbul to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 17 - 20).\n     |- The departure day of Frankfurt is Day 11. The arrival day of Bucharest is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Istanbul, Frankfurt].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn] and explore these options in order.\n       |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Frankfurt to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 17 - 20).\n       |- The departure day of Munich is Day 15. The arrival day of Bucharest is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Budapest, Istanbul, Frankfurt, Munich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Munich to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 17 - 20).\n       |- The departure day of Tallinn is Day 13. The arrival day of Bucharest is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, Istanbul, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n         |- Try arranging to visit Munich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Tallinn to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 17 - 20).\n         |- The departure day of Munich is Day 17. The arrival day of Bucharest is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Budapest, Istanbul, Frankfurt, Tallinn, Munich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Munich to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Budapest, Istanbul, Frankfurt, Tallinn, Munich, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Munich.\n**Day 13-17:** Visit Munich for 5 days.\n**Day 17:** Fly from Munich to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Copenhagen**Rome**Lyon**London**Florence",
    "ground_truth_durations": "4**2**2**3**3**3",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Lyon"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "London",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You have to attend a workshop in London between day 8 and day 10. You would like to visit Krakow for 4 days. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 4 and day 5. You would like to visit Florence for 3 days. You plan to stay in Lyon for 3 days. You would like to visit Rome for 2 days.\n\nHere are the cities that have direct flights:\nRome and Lyon, Krakow and London, Copenhagen and Rome, Lyon and London, Copenhagen and London, Krakow and Copenhagen, Rome and London, London and Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You have to attend a workshop in London between day 8 and day 10. You would like to visit Krakow for 4 days. You plan to stay in Copenhagen for 2 days. You want to meet a friend in Copenhagen between day 4 and day 5. You would like to visit Florence for 3 days. You plan to stay in Lyon for 3 days. You would like to visit Rome for 2 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Lyon, from Krakow to London, from Copenhagen to Rome, from Lyon to London, from Copenhagen to London, from Krakow to Copenhagen, from Rome to London, from London to Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-12:** Visit Florence for 3 days.",
    "id": "trip_planning_example_714",
    "estimated_output_tokens": 1602,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Krakow, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Florence, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 4 - 5.\n* City: London, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Florence, Lyon, Rome] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 5).\n |- The departure day of Krakow is Day 4. The arrival day of Copenhagen is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 8 - 10).\n   |- The departure day of Copenhagen is Day 5. The arrival day of London is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Lyon, Rome] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 8 - 10).\n     |- The departure day of Rome is Day 6. The arrival day of London is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Krakow, Copenhagen, Rome].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Lyon] and explore these options in order.\n       |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Rome to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Rome to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 8 - 10).\n       |- The departure day of Lyon is Day 8. The arrival day of London is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Krakow, Copenhagen, Rome, Lyon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: London.\n         |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Lyon to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Krakow, Copenhagen, Rome, Lyon, London].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from London to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Krakow, Copenhagen, Rome, Lyon, London, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-12:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Lisbon**Milan**Riga**Frankfurt**Salzburg",
    "ground_truth_durations": "3**3**2**5**3**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You would like to visit Lisbon for 3 days. You would like to meet your friends at Lisbon between day 3 and day 5 to tour together. You plan to stay in Riga for 5 days. You plan to visit relatives in Riga between day 6 and day 10. You would like to visit Milan for 2 days. From day 5 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Salzburg for 4 days. You want to spend 3 days in Geneva.\n\nHere are the cities that have direct flights:\nLisbon and Milan, Geneva and Frankfurt, Geneva and Lisbon, Milan and Riga, Lisbon and Riga, Milan and Frankfurt, Riga and Frankfurt, Lisbon and Frankfurt, Frankfurt and Salzburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You would like to visit Lisbon for 3 days. You would like to meet your friends at Lisbon between day 3 and day 5 to tour together. You plan to stay in Riga for 5 days. You plan to visit relatives in Riga between day 6 and day 10. You would like to visit Milan for 2 days. From day 5 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Salzburg for 4 days. You want to spend 3 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Milan, from Geneva to Frankfurt, from Geneva to Lisbon, from Milan to Riga, from Lisbon to Riga, from Milan to Frankfurt, from Riga to Frankfurt, from Lisbon to Frankfurt, from Frankfurt to Salzburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Lisbon.\n**Day 3-5:** Visit Lisbon for 3 days.\n**Day 5:** Fly from Lisbon to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Riga.\n**Day 6-10:** Visit Riga for 5 days.\n**Day 10:** Fly from Riga to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Salzburg.\n**Day 12-15:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_715",
    "estimated_output_tokens": 1795,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Salzburg, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 3 - 5.\n* City: Milan, Fixed Schedule: Day 5 - 6.\n* City: Riga, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Salzburg, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Geneva] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 3 - 5).\n |- The departure day of Frankfurt is Day 3. The arrival day of Lisbon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 3 - 5).\n |- The departure day of Salzburg is Day 4. The arrival day of Lisbon is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 3 - 5).\n |- The departure day of Geneva is Day 3. The arrival day of Lisbon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 6).\n   |- The departure day of Lisbon is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 6 - 10).\n     |- The departure day of Milan is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Geneva, Lisbon, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Lisbon, Milan, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Riga to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Geneva, Lisbon, Milan, Riga, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Geneva, Lisbon, Milan, Riga, Frankfurt, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Lisbon.\n**Day 3-5:** Visit Lisbon for 3 days.\n**Day 5:** Fly from Lisbon to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Riga.\n**Day 6-10:** Visit Riga for 5 days.\n**Day 10:** Fly from Riga to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Salzburg.\n**Day 12-15:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Milan**Vilnius**Vienna**Lyon**Bucharest",
    "ground_truth_durations": "5**4**4**4**5**3",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Riga",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 18 and day 20. You would like to visit Vienna for 4 days. You would like to visit Lyon for 5 days. You would like to visit Milan for 4 days. You plan to stay in Vilnius for 4 days. From day 8 to day 11, there is a annual show you want to attend in Vilnius. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 1 and day 5.\n\nHere are the cities that have direct flights:\nMilan and Vilnius, Riga and Milan, from Riga to Vilnius, Milan and Vienna, Vilnius and Vienna, Vienna and Bucharest, Lyon and Bucharest, Vienna and Lyon, Riga and Vienna, Riga and Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 18 and day 20. You would like to visit Vienna for 4 days. You would like to visit Lyon for 5 days. You would like to visit Milan for 4 days. You plan to stay in Vilnius for 4 days. From day 8 to day 11, there is a annual show you want to attend in Vilnius. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Milan to Vilnius, from Riga to Milan, from Riga to Vilnius, from Milan to Vienna, from Vilnius to Vienna, from Vienna to Bucharest, from Lyon to Bucharest, from Vienna to Lyon, from Riga to Vienna, from Riga to Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Lyon.\n**Day 14-18:** Visit Lyon for 5 days.\n**Day 18:** Fly from Lyon to Bucharest.\n**Day 18-20:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_716",
    "estimated_output_tokens": 1856,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 8 - 11.\n* City: Bucharest, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 8 - 11).\n |- The departure day of Riga is Day 5. The arrival day of Vilnius is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Milan] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 8 - 11).\n   |- The departure day of Vienna is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Riga, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 8 - 11).\n   |- The departure day of Milan is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Riga, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Milan to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 18 - 20).\n     |- The departure day of Vilnius is Day 11. The arrival day of Bucharest is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Milan, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Vilnius to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 18 - 20).\n       |- The departure day of Vienna is Day 14. The arrival day of Bucharest is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Riga, Milan, Vilnius, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Vienna to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 18 - 20).\n         |- The departure day of Lyon is Day 18. The arrival day of Bucharest is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Riga, Milan, Vilnius, Vienna, Lyon].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Riga, Milan, Vilnius, Vienna, Lyon, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Lyon.\n**Day 14-18:** Visit Lyon for 5 days.\n**Day 18:** Fly from Lyon to Bucharest.\n**Day 18-20:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Istanbul**Vienna**Florence**Munich**Hamburg",
    "ground_truth_durations": "2**3**3**4**2**3",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Vienna",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. During day 6 and day 9, you have to attend a conference in Florence. You would like to visit Vienna for 3 days. You plan to stay in Istanbul for 3 days. From day 2 to day 4, there is a annual show you want to attend in Istanbul. You want to spend 2 days in Munich. You want to spend 3 days in Hamburg. You want to meet a friend in Hamburg between day 10 and day 12. You plan to stay in Rome for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Hamburg, Vienna and Munich, from Florence to Munich, Rome and Istanbul, Rome and Vienna, Munich and Hamburg, Istanbul and Munich, Istanbul and Vienna, Istanbul and Hamburg, Rome and Munich, Rome and Hamburg, Vienna and Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. During day 6 and day 9, you have to attend a conference in Florence. You would like to visit Vienna for 3 days. You plan to stay in Istanbul for 3 days. From day 2 to day 4, there is a annual show you want to attend in Istanbul. You want to spend 2 days in Munich. You want to spend 3 days in Hamburg. You want to meet a friend in Hamburg between day 10 and day 12. You plan to stay in Rome for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Hamburg, from Vienna to Munich, from Florence to Munich, from Rome to Istanbul, from Rome to Vienna, from Munich to Hamburg, from Istanbul to Munich, from Istanbul to Vienna, from Istanbul to Hamburg, from Rome to Munich, from Rome to Hamburg, from Vienna to Florence.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Rome and visit Rome for 2 days.\n**Day 2:** Fly from Rome to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Vienna.\n**Day 4-6:** Visit Vienna for 3 days.\n**Day 6:** Fly from Vienna to Florence.\n**Day 6-9:** Visit Florence for 4 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Hamburg.\n**Day 10-12:** Visit Hamburg for 3 days.",
    "id": "trip_planning_example_717",
    "estimated_output_tokens": 1843,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Vienna, Duration: 3 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Munich, Duration: 2 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Rome, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 2 - 4.\n* City: Florence, Fixed Schedule: Day 6 - 9.\n* City: Hamburg, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: Munich, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Munich, Rome] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 4).\n |- The departure day of Vienna is Day 3. The arrival day of Istanbul is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 4).\n |- The departure day of Munich is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 4).\n |- The departure day of Rome is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 6 - 9).\n   |- The departure day of Istanbul is Day 4. The arrival day of Florence is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Rome, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Munich] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 6 - 9).\n     |- The departure day of Vienna is Day 6. The arrival day of Florence is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Rome, Istanbul, Vienna].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Vienna to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 10 - 12).\n       |- The departure day of Florence is Day 9. The arrival day of Hamburg is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Rome, Istanbul, Vienna, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n         |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Florence to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 10 - 12).\n         |- The departure day of Munich is Day 10. The arrival day of Hamburg is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Rome, Istanbul, Vienna, Florence, Munich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Munich to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Rome, Istanbul, Vienna, Florence, Munich, Hamburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Rome and visit Rome for 2 days.\n**Day 2:** Fly from Rome to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Vienna.\n**Day 4-6:** Visit Vienna for 3 days.\n**Day 6:** Fly from Vienna to Florence.\n**Day 6-9:** Visit Florence for 4 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Hamburg.\n**Day 10-12:** Visit Hamburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Vilnius**Copenhagen**London**Florence",
    "ground_truth_durations": "5**5**5**5**5**2",
    "num_cities": 6,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 21,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to visit Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 9 and day 13. You plan to stay in Salzburg for 5 days. You plan to stay in Istanbul for 5 days. You would like to visit London for 5 days. You plan to visit relatives in London between day 17 and day 21. You plan to stay in Florence for 2 days. You have to attend a workshop in Florence between day 21 and day 22.\n\nHere are the cities that have direct flights:\nSalzburg and Istanbul, Vilnius and Copenhagen, Istanbul and London, London and Florence, Istanbul and Copenhagen, Istanbul and Vilnius, Copenhagen and London.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to visit Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 9 and day 13. You plan to stay in Salzburg for 5 days. You plan to stay in Istanbul for 5 days. You would like to visit London for 5 days. You plan to visit relatives in London between day 17 and day 21. You plan to stay in Florence for 2 days. You have to attend a workshop in Florence between day 21 and day 22.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Istanbul, from Vilnius to Copenhagen, from Istanbul to London, from London to Florence, from Istanbul to Copenhagen, from Istanbul to Vilnius, from Copenhagen to London.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 22 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Copenhagen.\n**Day 13-17:** Visit Copenhagen for 5 days.\n**Day 17:** Fly from Copenhagen to London.\n**Day 17-21:** Visit London for 5 days.\n**Day 21:** Fly from London to Florence.\n**Day 21-22:** Visit Florence for 2 days.",
    "id": "trip_planning_example_718",
    "estimated_output_tokens": 1882,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Salzburg, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 9 - 13.\n* City: London, Fixed Schedule: Day 17 - 21.\n* City: Florence, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Istanbul] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 13).\n |- The departure day of Copenhagen is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 13).\n |- The departure day of Salzburg is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Istanbul] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 13).\n   |- The departure day of Istanbul is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: London (Day 17 - 21).\n     |- The departure day of Vilnius is Day 13. The arrival day of London is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Salzburg, Istanbul, Vilnius].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Vilnius to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: London (Day 17 - 21).\n       |- The departure day of Copenhagen is Day 17. The arrival day of London is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Salzburg, Istanbul, Vilnius, Copenhagen].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: London.\n         |- Try arranging to visit London from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Copenhagen to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 21 - 22).\n         |- The departure day of London is Day 21. The arrival day of Florence is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Salzburg, Istanbul, Vilnius, Copenhagen, London].\n          |- Check whether the city with an arrival day of Day 21 - is fixed.\n          |- Yes. The city with an arrival day of Day 21 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n           |- Check for direct flight from London to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Salzburg, Istanbul, Vilnius, Copenhagen, London, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Copenhagen.\n**Day 13-17:** Visit Copenhagen for 5 days.\n**Day 17:** Fly from Copenhagen to London.\n**Day 17-21:** Visit London for 5 days.\n**Day 21:** Fly from London to Florence.\n**Day 21-22:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lyon**Dublin**Edinburgh**Riga**Tallinn",
    "ground_truth_durations": "5**2**3**3**4**3",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Dublin",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 5 days. You want to spend 3 days in Tallinn. You have to attend a workshop in Tallinn between day 13 and day 15. You plan to stay in Lyon for 2 days. You plan to visit relatives in Lyon between day 5 and day 6. You want to spend 3 days in Dublin. You plan to stay in Riga for 4 days. You are going to attend a wedding in Riga between day 10 and day 13. You plan to stay in Edinburgh for 3 days.\n\nHere are the cities that have direct flights:\nValencia and Lyon, Dublin and Tallinn, from Riga to Tallinn, Dublin and Edinburgh, Edinburgh and Riga, Valencia and Dublin, Lyon and Dublin, Dublin and Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 5 days. You want to spend 3 days in Tallinn. You have to attend a workshop in Tallinn between day 13 and day 15. You plan to stay in Lyon for 2 days. You plan to visit relatives in Lyon between day 5 and day 6. You want to spend 3 days in Dublin. You plan to stay in Riga for 4 days. You are going to attend a wedding in Riga between day 10 and day 13. You plan to stay in Edinburgh for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Lyon, from Dublin to Tallinn, from Riga to Tallinn, from Dublin to Edinburgh, from Edinburgh to Riga, from Valencia to Dublin, from Lyon to Dublin, from Dublin to Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Edinburgh.\n**Day 8-10:** Visit Edinburgh for 3 days.\n**Day 10:** Fly from Edinburgh to Riga.\n**Day 10-13:** Visit Riga for 4 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_719",
    "estimated_output_tokens": 1517,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Dublin, Duration: 3 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Edinburgh, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 5 - 6.\n* City: Riga, Fixed Schedule: Day 10 - 13.\n* City: Tallinn, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Dublin, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Dublin, Edinburgh] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 6).\n |- The departure day of Valencia is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 13).\n   |- The departure day of Lyon is Day 6. The arrival day of Riga is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 10 - 13).\n     |- The departure day of Dublin is Day 8. The arrival day of Riga is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Lyon, Dublin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dublin to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 10 - 13).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Lyon, Dublin, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 13 - 15).\n         |- The departure day of Riga is Day 13. The arrival day of Tallinn is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Lyon, Dublin, Edinburgh, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Lyon, Dublin, Edinburgh, Riga, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Edinburgh.\n**Day 8-10:** Visit Edinburgh for 3 days.\n**Day 10:** Fly from Edinburgh to Riga.\n**Day 10-13:** Visit Riga for 4 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Copenhagen**Bucharest**Manchester**Frankfurt**Florence",
    "ground_truth_durations": "5**5**5**3**5**2",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You would like to meet your friends at Bucharest between day 9 and day 13 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Frankfurt for 5 days. You plan to stay in Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 5 and day 9. You want to spend 2 days in Florence. You want to spend 3 days in Manchester. You plan to visit relatives in Manchester between day 13 and day 15.\n\nHere are the cities that have direct flights:\nBucharest and Frankfurt, Frankfurt and Florence, Copenhagen and Manchester, Vilnius and Frankfurt, Vilnius and Copenhagen, Bucharest and Manchester, Copenhagen and Bucharest, Copenhagen and Frankfurt, Manchester and Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You would like to meet your friends at Bucharest between day 9 and day 13 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Frankfurt for 5 days. You plan to stay in Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 5 and day 9. You want to spend 2 days in Florence. You want to spend 3 days in Manchester. You plan to visit relatives in Manchester between day 13 and day 15.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Frankfurt, from Frankfurt to Florence, from Copenhagen to Manchester, from Vilnius to Frankfurt, from Vilnius to Copenhagen, from Bucharest to Manchester, from Copenhagen to Bucharest, from Copenhagen to Frankfurt, from Manchester to Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Manchester.\n**Day 13-15:** Visit Manchester for 3 days.\n**Day 15:** Fly from Manchester to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Florence.\n**Day 19-20:** Visit Florence for 2 days.",
    "id": "trip_planning_example_720",
    "estimated_output_tokens": 1465,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Vilnius, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Florence, Duration: 2 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 5 - 9.\n* City: Bucharest, Fixed Schedule: Day 9 - 13.\n* City: Manchester, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Florence] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 5 - 9).\n |- The departure day of Vilnius is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 9 - 13).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vilnius, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Copenhagen to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 13 - 15).\n     |- The departure day of Bucharest is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Vilnius, Copenhagen, Bucharest].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Bucharest to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vilnius, Copenhagen, Bucharest, Manchester].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Florence] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Manchester to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Vilnius, Copenhagen, Bucharest, Manchester, Frankfurt].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Vilnius, Copenhagen, Bucharest, Manchester, Frankfurt, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Manchester.\n**Day 13-15:** Visit Manchester for 3 days.\n**Day 15:** Fly from Manchester to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Florence.\n**Day 19-20:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Venice**Paris**Bucharest**Munich**Mykonos",
    "ground_truth_durations": "4**2**4**3**3**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Munich"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Paris",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You want to meet a friend in Venice between day 4 and day 5. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 8 and day 10. You would like to visit Paris for 4 days. You want to spend 4 days in Istanbul. You would like to meet your friends at Istanbul between day 1 and day 4 to tour together. You want to spend 3 days in Munich. You plan to stay in Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nVenice and Munich, Istanbul and Munich, Istanbul and Venice, Bucharest and Munich, Istanbul and Paris, Venice and Paris, Munich and Mykonos, Paris and Munich, Istanbul and Bucharest, Paris and Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You want to meet a friend in Venice between day 4 and day 5. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 8 and day 10. You would like to visit Paris for 4 days. You want to spend 4 days in Istanbul. You would like to meet your friends at Istanbul between day 1 and day 4 to tour together. You want to spend 3 days in Munich. You plan to stay in Mykonos for 5 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Munich, from Istanbul to Munich, from Istanbul to Venice, from Bucharest to Munich, from Istanbul to Paris, from Venice to Paris, from Munich to Mykonos, from Paris to Munich, from Istanbul to Bucharest, from Paris to Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Bucharest.\n**Day 8-10:** Visit Bucharest for 3 days.\n**Day 10:** Fly from Bucharest to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Mykonos.\n**Day 12-16:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_721",
    "estimated_output_tokens": 1452,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Paris, Duration: 4 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 4.\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Paris, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Istanbul is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Istanbul to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 8 - 10).\n   |- The departure day of Venice is Day 5. The arrival day of Bucharest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Munich, Mykonos] and explore these options in order.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 8 - 10).\n     |- The departure day of Paris is Day 8. The arrival day of Bucharest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Venice, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Istanbul, Venice, Paris, Bucharest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n         |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Bucharest to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Istanbul, Venice, Paris, Bucharest, Munich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Munich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Venice, Paris, Bucharest, Munich, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Bucharest.\n**Day 8-10:** Visit Bucharest for 3 days.\n**Day 10:** Fly from Bucharest to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Mykonos.\n**Day 12-16:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Venice**Santorini**Vienna**Riga",
    "ground_truth_durations": "3**3**4**5**2**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Riga"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Hamburg",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You would like to visit Santorini for 5 days. You want to meet a friend in Santorini between day 8 and day 12. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 3 and day 5. You would like to visit Riga for 4 days. From day 13 to day 16, there is a annual show you want to attend in Riga. You would like to visit Salzburg for 3 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Riga, Salzburg and Hamburg, Venice and Vienna, Santorini and Vienna, Hamburg and Vienna, from Riga to Hamburg, Venice and Santorini, Hamburg and Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You would like to visit Santorini for 5 days. You want to meet a friend in Santorini between day 8 and day 12. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 3 and day 5. You would like to visit Riga for 4 days. From day 13 to day 16, there is a annual show you want to attend in Riga. You would like to visit Salzburg for 3 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Riga, from Salzburg to Hamburg, from Venice to Vienna, from Santorini to Vienna, from Hamburg to Vienna, from Riga to Hamburg, from Venice to Santorini, from Hamburg to Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-12:** Visit Santorini for 5 days.\n**Day 12:** Fly from Santorini to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Riga.\n**Day 13-16:** Visit Riga for 4 days.",
    "id": "trip_planning_example_722",
    "estimated_output_tokens": 1654,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Salzburg, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 3 - 5.\n* City: Santorini, Fixed Schedule: Day 8 - 12.\n* City: Riga, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Salzburg, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Salzburg, Vienna] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Venice is Day 4. The arrival day of Hamburg is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Salzburg is Day 3. The arrival day of Hamburg is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 8 - 12).\n   |- The departure day of Hamburg is Day 5. The arrival day of Santorini is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Vienna] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 12).\n     |- The departure day of Venice is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Hamburg, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 13 - 16).\n       |- The departure day of Santorini is Day 12. The arrival day of Riga is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Hamburg, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Santorini to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 13 - 16).\n         |- The departure day of Vienna is Day 13. The arrival day of Riga is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Salzburg, Hamburg, Venice, Santorini, Vienna].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Vienna to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Salzburg, Hamburg, Venice, Santorini, Vienna, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-12:** Visit Santorini for 5 days.\n**Day 12:** Fly from Santorini to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Venice**Athens**Hamburg**Madrid**Lyon",
    "ground_truth_durations": "3**5**5**5**2**2",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Venice",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 3 and day 7 to tour together. You would like to visit Amsterdam for 3 days. During day 1 and day 3, you have to attend a conference in Amsterdam. You would like to visit Athens for 5 days. You have to attend a workshop in Athens between day 7 and day 11. You plan to stay in Hamburg for 5 days. You plan to stay in Madrid for 2 days. You want to spend 2 days in Lyon.\n\nHere are the cities that have direct flights:\nAthens and Hamburg, Hamburg and Madrid, Amsterdam and Athens, Amsterdam and Lyon, Venice and Athens, Amsterdam and Venice, Madrid and Lyon, Amsterdam and Hamburg, Venice and Madrid, Venice and Hamburg, Amsterdam and Madrid, Athens and Madrid, Venice and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Venice. You would like to meet your friends at Venice between day 3 and day 7 to tour together. You would like to visit Amsterdam for 3 days. During day 1 and day 3, you have to attend a conference in Amsterdam. You would like to visit Athens for 5 days. You have to attend a workshop in Athens between day 7 and day 11. You plan to stay in Hamburg for 5 days. You plan to stay in Madrid for 2 days. You want to spend 2 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Athens to Hamburg, from Hamburg to Madrid, from Amsterdam to Athens, from Amsterdam to Lyon, from Venice to Athens, from Amsterdam to Venice, from Madrid to Lyon, from Amsterdam to Hamburg, from Venice to Madrid, from Venice to Hamburg, from Amsterdam to Madrid, from Athens to Madrid, from Venice to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Madrid.\n**Day 15-16:** Visit Madrid for 2 days.\n**Day 16:** Fly from Madrid to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_723",
    "estimated_output_tokens": 1381,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Hamburg, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 3 - 7.\n* City: Athens, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 7).\n |- The departure day of Amsterdam is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Amsterdam to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 7 - 11).\n   |- The departure day of Venice is Day 7. The arrival day of Athens is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Venice to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Amsterdam, Venice, Athens].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Madrid, Lyon] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Athens to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Amsterdam, Venice, Athens, Hamburg].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Hamburg to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Amsterdam, Venice, Athens, Hamburg, Madrid].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Madrid to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Amsterdam, Venice, Athens, Hamburg, Madrid, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Madrid.\n**Day 15-16:** Visit Madrid for 2 days.\n**Day 16:** Fly from Madrid to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Rome**Seville**Brussels**Porto**Geneva",
    "ground_truth_durations": "2**4**5**5**4**5",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Porto"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Rome",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 4 days. You want to spend 2 days in Mykonos. You would like to visit Brussels for 5 days. You have to attend a workshop in Brussels between day 9 and day 13. You would like to visit Geneva for 5 days. You are going to attend a wedding in Geneva between day 16 and day 20. You would like to visit Seville for 5 days. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nBrussels and Porto, Mykonos and Geneva, Rome and Seville, Brussels and Geneva, Seville and Brussels, Rome and Brussels, Mykonos and Rome, Seville and Porto, Porto and Geneva, Rome and Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 4 days. You want to spend 2 days in Mykonos. You would like to visit Brussels for 5 days. You have to attend a workshop in Brussels between day 9 and day 13. You would like to visit Geneva for 5 days. You are going to attend a wedding in Geneva between day 16 and day 20. You would like to visit Seville for 5 days. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Porto, from Mykonos to Geneva, from Rome to Seville, from Brussels to Geneva, from Seville to Brussels, from Rome to Brussels, from Mykonos to Rome, from Seville to Porto, from Porto to Geneva, from Rome to Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Seville.\n**Day 5-9:** Visit Seville for 5 days.\n**Day 9:** Fly from Seville to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Porto.\n**Day 13-16:** Visit Porto for 4 days.\n**Day 16:** Fly from Porto to Geneva.\n**Day 16-20:** Visit Geneva for 5 days.",
    "id": "trip_planning_example_724",
    "estimated_output_tokens": 2020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Seville, Duration: 5 days.\n* City: Rome, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Rome, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Mykonos, Seville, Rome] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 9 - 13).\n |- The departure day of Porto is Day 4. The arrival day of Brussels is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Seville, Rome] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Porto to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Porto to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 9 - 13).\n |- The departure day of Mykonos is Day 2. The arrival day of Brussels is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Seville, Rome] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 9 - 13).\n   |- The departure day of Rome is Day 5. The arrival day of Brussels is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Seville] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 9 - 13).\n     |- The departure day of Seville is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Rome, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Seville to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 16 - 20).\n       |- The departure day of Brussels is Day 13. The arrival day of Geneva is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Rome, Seville, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Brussels to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 16 - 20).\n         |- The departure day of Porto is Day 16. The arrival day of Geneva is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Mykonos, Rome, Seville, Brussels, Porto].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Porto to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Mykonos, Rome, Seville, Brussels, Porto, Geneva].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Seville.\n**Day 5-9:** Visit Seville for 5 days.\n**Day 9:** Fly from Seville to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Porto.\n**Day 13-16:** Visit Porto for 4 days.\n**Day 16:** Fly from Porto to Geneva.\n**Day 16-20:** Visit Geneva for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Brussels**Vilnius**Paris**London**Santorini",
    "ground_truth_durations": "4**5**5**3**5**3",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Paris"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "London",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. From day 8 to day 12, there is a annual show you want to attend in Vilnius. You plan to stay in Santorini for 3 days. You would like to visit London for 5 days. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 4 and day 8 to tour together. You want to spend 3 days in Paris. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nBrussels and Paris, Tallinn and Brussels, Tallinn and Paris, from Tallinn to Vilnius, Brussels and Vilnius, Paris and London, Brussels and London, Vilnius and Paris, London and Santorini.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. From day 8 to day 12, there is a annual show you want to attend in Vilnius. You plan to stay in Santorini for 3 days. You would like to visit London for 5 days. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 4 and day 8 to tour together. You want to spend 3 days in Paris. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Paris, from Tallinn to Brussels, from Tallinn to Paris, from Tallinn to Vilnius, from Brussels to Vilnius, from Paris to London, from Brussels to London, from Vilnius to Paris, from London to Santorini.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Brussels.\n**Day 4-8:** Visit Brussels for 5 days.\n**Day 8:** Fly from Brussels to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Paris.\n**Day 12-14:** Visit Paris for 3 days.\n**Day 14:** Fly from Paris to London.\n**Day 14-18:** Visit London for 5 days.\n**Day 18:** Fly from London to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_725",
    "estimated_output_tokens": 2471,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Paris, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 4 - 8.\n* City: Vilnius, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, London, Paris, Tallinn] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 8).\n |- The departure day of Santorini is Day 3. The arrival day of Brussels is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Paris, Tallinn] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 8).\n |- The departure day of London is Day 5. The arrival day of Brussels is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 8).\n |- The departure day of Paris is Day 3. The arrival day of Brussels is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, London, Tallinn] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Paris to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Paris to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 4 - 8).\n   |- The departure day of London is Day 7. The arrival day of Brussels is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Paris to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 8).\n |- The departure day of Tallinn is Day 4. The arrival day of Brussels is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Tallinn to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 8 - 12).\n   |- The departure day of Brussels is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Tallinn, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Brussels to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Tallinn, Brussels, Vilnius].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, London, Paris] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Vilnius to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Vilnius to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Vilnius to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Tallinn, Brussels, Vilnius, Paris].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, London] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Paris to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Paris to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Tallinn, Brussels, Vilnius, Paris, London].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from London to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Brussels, Vilnius, Paris, London, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Brussels.\n**Day 4-8:** Visit Brussels for 5 days.\n**Day 8:** Fly from Brussels to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Paris.\n**Day 12-14:** Visit Paris for 3 days.\n**Day 14:** Fly from Paris to London.\n**Day 14-18:** Visit London for 5 days.\n**Day 18:** Fly from London to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Brussels**Frankfurt**Krakow**Berlin**Porto",
    "ground_truth_durations": "2**2**4**2**4**4",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to visit relatives in Florence between day 1 and day 2. You plan to stay in Berlin for 4 days. You would like to meet your friends at Berlin between day 7 and day 10 to tour together. You would like to visit Krakow for 2 days. You have to attend a workshop in Krakow between day 6 and day 7. You plan to stay in Brussels for 2 days. You would like to visit Porto for 4 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nKrakow and Berlin, Berlin and Porto, Brussels and Berlin, Frankfurt and Porto, Brussels and Krakow, Florence and Brussels, Florence and Frankfurt, Frankfurt and Krakow, Frankfurt and Berlin, from Brussels to Frankfurt, Brussels and Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to visit relatives in Florence between day 1 and day 2. You plan to stay in Berlin for 4 days. You would like to meet your friends at Berlin between day 7 and day 10 to tour together. You would like to visit Krakow for 2 days. You have to attend a workshop in Krakow between day 6 and day 7. You plan to stay in Brussels for 2 days. You would like to visit Porto for 4 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Berlin, from Berlin to Porto, from Brussels to Berlin, from Frankfurt to Porto, from Brussels to Krakow, from Florence to Brussels, from Florence to Frankfurt, from Frankfurt to Krakow, from Frankfurt to Berlin, from Brussels to Frankfurt, from Brussels to Porto.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Brussels.\n**Day 2-3:** Visit Brussels for 2 days.\n**Day 3:** Fly from Brussels to Frankfurt.\n**Day 3-6:** Visit Frankfurt for 4 days.\n**Day 6:** Fly from Frankfurt to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Berlin.\n**Day 7-10:** Visit Berlin for 4 days.\n**Day 10:** Fly from Berlin to Porto.\n**Day 10-13:** Visit Porto for 4 days.",
    "id": "trip_planning_example_726",
    "estimated_output_tokens": 1728,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Brussels, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Fixed Schedule: Day 6 - 7.\n* City: Berlin, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 6 - 7).\n |- The departure day of Florence is Day 2. The arrival day of Krakow is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Porto, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Florence to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 6 - 7).\n   |- The departure day of Brussels is Day 3. The arrival day of Krakow is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Florence, Brussels].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Brussels to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 6 - 7).\n     |- The departure day of Porto is Day 6. The arrival day of Krakow is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Brussels, Porto].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Porto to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Brussels to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 6 - 7).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Krakow is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Brussels, Frankfurt].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Frankfurt to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 7 - 10).\n       |- The departure day of Krakow is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Florence, Brussels, Frankfurt, Krakow].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Krakow to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Florence, Brussels, Frankfurt, Krakow, Berlin].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Berlin to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Florence, Brussels, Frankfurt, Krakow, Berlin, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Brussels.\n**Day 2-3:** Visit Brussels for 2 days.\n**Day 3:** Fly from Brussels to Frankfurt.\n**Day 3-6:** Visit Frankfurt for 4 days.\n**Day 6:** Fly from Frankfurt to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Berlin.\n**Day 7-10:** Visit Berlin for 4 days.\n**Day 10:** Fly from Berlin to Porto.\n**Day 10-13:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Munich**Warsaw**Bucharest**Santorini**Oslo",
    "ground_truth_durations": "3**4**5**4**5**5",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 4 days. You plan to stay in Oslo for 5 days. You would like to visit Warsaw for 5 days. You plan to visit relatives in Warsaw between day 6 and day 10. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 13 and day 17. You would like to visit Frankfurt for 3 days. During day 1 and day 3, you have to attend a conference in Frankfurt. You would like to visit Bucharest for 4 days.\n\nHere are the cities that have direct flights:\nMunich and Oslo, Frankfurt and Munich, Warsaw and Oslo, Frankfurt and Warsaw, Frankfurt and Oslo, from Santorini to Oslo, Warsaw and Bucharest, Munich and Warsaw, Frankfurt and Bucharest, Bucharest and Santorini, Munich and Bucharest, Bucharest and Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 4 days. You plan to stay in Oslo for 5 days. You would like to visit Warsaw for 5 days. You plan to visit relatives in Warsaw between day 6 and day 10. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 13 and day 17. You would like to visit Frankfurt for 3 days. During day 1 and day 3, you have to attend a conference in Frankfurt. You would like to visit Bucharest for 4 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Oslo, from Frankfurt to Munich, from Warsaw to Oslo, from Frankfurt to Warsaw, from Frankfurt to Oslo, from Santorini to Oslo, from Warsaw to Bucharest, from Munich to Warsaw, from Frankfurt to Bucharest, from Bucharest to Santorini, from Munich to Bucharest, from Bucharest to Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.\n**Day 17:** Fly from Santorini to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_727",
    "estimated_output_tokens": 1614,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Bucharest, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 3.\n* City: Warsaw, Fixed Schedule: Day 6 - 10.\n* City: Santorini, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 10).\n |- The departure day of Frankfurt is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Oslo, Bucharest] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Frankfurt to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 10).\n   |- The departure day of Munich is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 13 - 17).\n     |- The departure day of Warsaw is Day 10. The arrival day of Santorini is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Munich, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Bucharest] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Warsaw to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 13 - 17).\n       |- The departure day of Oslo is Day 14. The arrival day of Santorini is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Warsaw to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 13 - 17).\n       |- The departure day of Bucharest is Day 13. The arrival day of Santorini is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Munich, Warsaw, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Frankfurt, Munich, Warsaw, Bucharest, Santorini].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Santorini to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Frankfurt, Munich, Warsaw, Bucharest, Santorini, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.\n**Day 17:** Fly from Santorini to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Paris**Porto**Seville**Madrid**Dubrovnik",
    "ground_truth_durations": "4**4**3**3**4**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Seville"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 14 and day 17. You would like to visit Paris for 4 days. You would like to visit Madrid for 4 days. You have to attend a workshop in Madrid between day 11 and day 14. You want to spend 4 days in Riga. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 9 and day 11. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nPorto and Seville, Seville and Madrid, Porto and Madrid, Madrid and Dubrovnik, Riga and Paris, Paris and Porto, Paris and Madrid, Paris and Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 14 and day 17. You would like to visit Paris for 4 days. You would like to visit Madrid for 4 days. You have to attend a workshop in Madrid between day 11 and day 14. You want to spend 4 days in Riga. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 9 and day 11. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Porto to Seville, from Seville to Madrid, from Porto to Madrid, from Madrid to Dubrovnik, from Riga to Paris, from Paris to Porto, from Paris to Madrid, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Porto.\n**Day 7-9:** Visit Porto for 3 days.\n**Day 9:** Fly from Porto to Seville.\n**Day 9-11:** Visit Seville for 3 days.\n**Day 11:** Fly from Seville to Madrid.\n**Day 11-14:** Visit Madrid for 4 days.\n**Day 14:** Fly from Madrid to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_728",
    "estimated_output_tokens": 2042,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Paris, Duration: 4 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Riga, Duration: 4 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 9 - 11.\n* City: Madrid, Fixed Schedule: Day 11 - 14.\n* City: Dubrovnik, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Paris, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Riga, Porto] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 11).\n |- The departure day of Paris is Day 4. The arrival day of Seville is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Porto] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Paris to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Paris to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 11).\n   |- The departure day of Porto is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Porto to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 11).\n |- The departure day of Riga is Day 4. The arrival day of Seville is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Porto] and explore these options in order.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 11).\n   |- The departure day of Paris is Day 7. The arrival day of Seville is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 9 - 11).\n     |- The departure day of Porto is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Paris, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Porto to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 11 - 14).\n       |- The departure day of Seville is Day 11. The arrival day of Madrid is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Riga, Paris, Porto, Seville].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Seville to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 14 - 17).\n         |- The departure day of Madrid is Day 14. The arrival day of Dubrovnik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Paris, Porto, Seville, Madrid].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Madrid to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Riga, Paris, Porto, Seville, Madrid, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Porto.\n**Day 7-9:** Visit Porto for 3 days.\n**Day 9:** Fly from Porto to Seville.\n**Day 9-11:** Visit Seville for 3 days.\n**Day 11:** Fly from Seville to Madrid.\n**Day 11-14:** Visit Madrid for 4 days.\n**Day 14:** Fly from Madrid to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Berlin**Milan**Naples**Bucharest**Frankfurt",
    "ground_truth_durations": "4**4**4**5**3**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 16,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "London",
        "Bucharest"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Berlin",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 5 days. You would like to visit Bucharest for 3 days. You would like to visit Berlin for 4 days. From day 4 to day 7, there is a annual show you want to attend in Berlin. You would like to visit London for 4 days. You want to meet a friend in London between day 1 and day 4. You would like to visit Milan for 4 days. You plan to stay in Frankfurt for 3 days. You plan to visit relatives in Frankfurt between day 16 and day 18.\n\nHere are the cities that have direct flights:\nLondon and Bucharest, Milan and Frankfurt, Milan and Naples, Naples and Frankfurt, London and Berlin, Naples and Bucharest, Berlin and Milan, London and Milan, London and Frankfurt, Berlin and Naples, Bucharest and Frankfurt, London and Naples, Berlin and Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 5 days. You would like to visit Bucharest for 3 days. You would like to visit Berlin for 4 days. From day 4 to day 7, there is a annual show you want to attend in Berlin. You would like to visit London for 4 days. You want to meet a friend in London between day 1 and day 4. You would like to visit Milan for 4 days. You plan to stay in Frankfurt for 3 days. You plan to visit relatives in Frankfurt between day 16 and day 18.\n\nHere are the cities that have direct flights:\nfrom London to Bucharest, from Milan to Frankfurt, from Milan to Naples, from Naples to Frankfurt, from London to Berlin, from Naples to Bucharest, from Berlin to Milan, from London to Milan, from London to Frankfurt, from Berlin to Naples, from Bucharest to Frankfurt, from London to Naples, from Berlin to Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Naples.\n**Day 10-14:** Visit Naples for 5 days.\n**Day 14:** Fly from Naples to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_729",
    "estimated_output_tokens": 2063,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: London, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Milan, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Fixed Schedule: Day 4 - 7.\n* City: Frankfurt, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Naples, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 7).\n |- The departure day of London is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 16 - 18).\n   |- The departure day of Berlin is Day 7. The arrival day of Frankfurt is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Milan] and explore these options in order.\n     |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 16 - 18).\n     |- The departure day of Naples is Day 11. The arrival day of Frankfurt is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [London, Berlin, Naples].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Milan] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Naples to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 16 - 18).\n       |- The departure day of Bucharest is Day 13. The arrival day of Frankfurt is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Berlin, Naples, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n         |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Bucharest to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Naples to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Berlin to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 16 - 18).\n     |- The departure day of Milan is Day 10. The arrival day of Frankfurt is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Berlin, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest] and explore these options in order.\n       |- Try arranging to visit Naples from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 16 - 18).\n       |- The departure day of Naples is Day 14. The arrival day of Frankfurt is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [London, Berlin, Milan, Naples].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Naples to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 16 - 18).\n         |- The departure day of Bucharest is Day 16. The arrival day of Frankfurt is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [London, Berlin, Milan, Naples, Bucharest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Bucharest to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [London, Berlin, Milan, Naples, Bucharest, Frankfurt].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Naples.\n**Day 10-14:** Visit Naples for 5 days.\n**Day 14:** Fly from Naples to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Dublin**Brussels**Nice**Frankfurt**Vilnius",
    "ground_truth_durations": "4**4**5**2**2**5",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Edinburgh",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You want to spend 4 days in Dublin. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 11 and day 12. You want to spend 4 days in Edinburgh. During day 1 and day 4, you have to attend a conference in Edinburgh. You plan to stay in Vilnius for 5 days. You want to spend 5 days in Brussels. You are going to attend a wedding in Brussels between day 7 and day 11.\n\nHere are the cities that have direct flights:\nEdinburgh and Nice, Edinburgh and Dublin, Edinburgh and Frankfurt, Nice and Frankfurt, Dublin and Frankfurt, Brussels and Nice, Brussels and Vilnius, Dublin and Brussels, Dublin and Nice, Frankfurt and Vilnius, from Brussels to Frankfurt, Edinburgh and Brussels.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You want to spend 4 days in Dublin. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 11 and day 12. You want to spend 4 days in Edinburgh. During day 1 and day 4, you have to attend a conference in Edinburgh. You plan to stay in Vilnius for 5 days. You want to spend 5 days in Brussels. You are going to attend a wedding in Brussels between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Nice, from Edinburgh to Dublin, from Edinburgh to Frankfurt, from Nice to Frankfurt, from Dublin to Frankfurt, from Brussels to Nice, from Brussels to Vilnius, from Dublin to Brussels, from Dublin to Nice, from Frankfurt to Vilnius, from Brussels to Frankfurt, from Edinburgh to Brussels.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Brussels.\n**Day 7-11:** Visit Brussels for 5 days.\n**Day 11:** Fly from Brussels to Nice.\n**Day 11-12:** Visit Nice for 2 days.\n**Day 12:** Fly from Nice to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_730",
    "estimated_output_tokens": 1811,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days.\n* City: Dublin, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 5 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Fixed Schedule: Day 7 - 11.\n* City: Nice, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Dublin, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 7 - 11).\n |- The departure day of Edinburgh is Day 4. The arrival day of Brussels is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Dublin, Vilnius] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 7 - 11).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Brussels is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Vilnius] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Frankfurt to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 7 - 11).\n     |- The departure day of Vilnius is Day 9. The arrival day of Brussels is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 7 - 11).\n   |- The departure day of Dublin is Day 7. The arrival day of Brussels is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dublin to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 11 - 12).\n     |- The departure day of Brussels is Day 11. The arrival day of Nice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Dublin, Brussels].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Brussels to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Edinburgh, Dublin, Brussels, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Vilnius] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Nice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Dublin, Brussels, Nice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Frankfurt to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Edinburgh, Dublin, Brussels, Nice, Frankfurt, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Brussels.\n**Day 7-11:** Visit Brussels for 5 days.\n**Day 11:** Fly from Brussels to Nice.\n**Day 11-12:** Visit Nice for 2 days.\n**Day 12:** Fly from Nice to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Riga**Berlin**Krakow**Split**Lyon",
    "ground_truth_durations": "4**3**5**5**4**4",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Manchester",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 4 days. You want to spend 5 days in Krakow. You want to spend 4 days in Manchester. You plan to visit relatives in Manchester between day 1 and day 4. You want to spend 5 days in Berlin. You would like to visit Split for 4 days. You would like to meet your friends at Split between day 14 and day 17 to tour together. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nManchester and Krakow, Berlin and Split, Riga and Berlin, Berlin and Krakow, Manchester and Riga, Krakow and Split, from Manchester to Split, Split and Lyon, Manchester and Berlin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 4 days. You want to spend 5 days in Krakow. You want to spend 4 days in Manchester. You plan to visit relatives in Manchester between day 1 and day 4. You want to spend 5 days in Berlin. You would like to visit Split for 4 days. You would like to meet your friends at Split between day 14 and day 17 to tour together. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Krakow, from Berlin to Split, from Riga to Berlin, from Berlin to Krakow, from Manchester to Riga, from Krakow to Split, from Manchester to Split, from Split to Lyon, from Manchester to Berlin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Krakow.\n**Day 10-14:** Visit Krakow for 5 days.\n**Day 14:** Fly from Krakow to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_731",
    "estimated_output_tokens": 2632,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Krakow, Duration: 5 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Duration: 5 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 4.\n* City: Split, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Krakow, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 14 - 17).\n |- The departure day of Manchester is Day 4. The arrival day of Split is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Berlin, Riga] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 14 - 17).\n   |- The departure day of Krakow is Day 8. The arrival day of Split is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Berlin, Riga] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Krakow to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 14 - 17).\n   |- The departure day of Berlin is Day 8. The arrival day of Split is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Riga] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Berlin to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Berlin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 14 - 17).\n     |- The departure day of Krakow is Day 12. The arrival day of Split is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Manchester, Berlin, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Riga] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Krakow to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Krakow to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Berlin to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Manchester to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 14 - 17).\n   |- The departure day of Riga is Day 6. The arrival day of Split is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Berlin] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 14 - 17).\n     |- The departure day of Berlin is Day 10. The arrival day of Split is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Manchester, Riga, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Berlin to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Berlin to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 14 - 17).\n       |- The departure day of Krakow is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Manchester, Riga, Berlin, Krakow].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n         |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Krakow to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Manchester, Riga, Berlin, Krakow, Split].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Split to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Manchester, Riga, Berlin, Krakow, Split, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Krakow.\n**Day 10-14:** Visit Krakow for 5 days.\n**Day 14:** Fly from Krakow to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Vienna**Berlin**Krakow**Prague**Valencia",
    "ground_truth_durations": "3**5**3**5**4**5",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Valencia"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Seville",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. You would like to visit Vienna for 5 days. You would like to visit Valencia for 5 days. You are going to attend a wedding in Valencia between day 16 and day 20. You want to spend 3 days in Seville. You want to spend 4 days in Prague. You want to meet a friend in Prague between day 13 and day 16. You would like to visit Berlin for 3 days.\n\nHere are the cities that have direct flights:\nSeville and Valencia, Vienna and Krakow, Vienna and Berlin, Berlin and Valencia, Krakow and Prague, Berlin and Krakow, Krakow and Valencia, Vienna and Valencia, Vienna and Prague, Prague and Valencia, Seville and Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. You would like to visit Vienna for 5 days. You would like to visit Valencia for 5 days. You are going to attend a wedding in Valencia between day 16 and day 20. You want to spend 3 days in Seville. You want to spend 4 days in Prague. You want to meet a friend in Prague between day 13 and day 16. You would like to visit Berlin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Valencia, from Vienna to Krakow, from Vienna to Berlin, from Berlin to Valencia, from Krakow to Prague, from Berlin to Krakow, from Krakow to Valencia, from Vienna to Valencia, from Vienna to Prague, from Prague to Valencia, from Seville to Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.\n**Day 13:** Fly from Krakow to Prague.\n**Day 13-16:** Visit Prague for 4 days.\n**Day 16:** Fly from Prague to Valencia.\n**Day 16-20:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_732",
    "estimated_output_tokens": 3250,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Seville, Duration: 3 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Berlin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 13 - 16.\n* City: Valencia, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Vienna, Seville, Berlin] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 13 - 16).\n |- The departure day of Krakow is Day 5. The arrival day of Prague is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Seville, Berlin] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Krakow to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Krakow to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 13 - 16).\n |- The departure day of Vienna is Day 5. The arrival day of Prague is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Seville, Berlin] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 13 - 16).\n   |- The departure day of Krakow is Day 9. The arrival day of Prague is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Berlin] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Krakow to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Krakow to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vienna to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vienna to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 13 - 16).\n   |- The departure day of Berlin is Day 7. The arrival day of Prague is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vienna, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Seville] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 13 - 16).\n     |- The departure day of Krakow is Day 11. The arrival day of Prague is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vienna, Berlin, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n       |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 13 - 16).\n |- The departure day of Seville is Day 3. The arrival day of Prague is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Vienna, Berlin] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 13 - 16).\n   |- The departure day of Vienna is Day 7. The arrival day of Prague is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Seville, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Berlin] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 13 - 16).\n     |- The departure day of Krakow is Day 11. The arrival day of Prague is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Vienna, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 13 - 16).\n     |- The departure day of Berlin is Day 9. The arrival day of Prague is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Vienna, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 13 - 16).\n       |- The departure day of Krakow is Day 13. The arrival day of Prague is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Vienna, Berlin, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Krakow to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 16 - 20).\n         |- The departure day of Prague is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Vienna, Berlin, Krakow, Prague].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Prague to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Seville, Vienna, Berlin, Krakow, Prague, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.\n**Day 13:** Fly from Krakow to Prague.\n**Day 13-16:** Visit Prague for 4 days.\n**Day 16:** Fly from Prague to Valencia.\n**Day 16-20:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Barcelona**Porto**Dublin**Seville**Valencia",
    "ground_truth_durations": "5**4**2**5**4**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Barcelona",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You would like to visit Porto for 2 days. You are going to attend a wedding in Porto between day 8 and day 9. You plan to stay in Seville for 4 days. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 16 and day 18. You would like to visit Barcelona for 4 days. You want to spend 5 days in Dublin. During day 9 and day 13, you have to attend a conference in Dublin.\n\nHere are the cities that have direct flights:\nBarcelona and Seville, Dublin and Seville, Porto and Valencia, Barcelona and Dublin, Porto and Seville, Helsinki and Dublin, Dublin and Valencia, Seville and Valencia, Porto and Dublin, Helsinki and Barcelona, Barcelona and Valencia, Barcelona and Porto.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You would like to visit Porto for 2 days. You are going to attend a wedding in Porto between day 8 and day 9. You plan to stay in Seville for 4 days. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 16 and day 18. You would like to visit Barcelona for 4 days. You want to spend 5 days in Dublin. During day 9 and day 13, you have to attend a conference in Dublin.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Seville, from Dublin to Seville, from Porto to Valencia, from Barcelona to Dublin, from Porto to Seville, from Helsinki to Dublin, from Dublin to Valencia, from Seville to Valencia, from Porto to Dublin, from Helsinki to Barcelona, from Barcelona to Valencia, from Barcelona to Porto.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Dublin.\n**Day 9-13:** Visit Dublin for 5 days.\n**Day 13:** Fly from Dublin to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Valencia.\n**Day 16-18:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_733",
    "estimated_output_tokens": 1549,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Seville, Duration: 4 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Barcelona, Duration: 4 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 8 - 9.\n* City: Dublin, Fixed Schedule: Day 9 - 13.\n* City: Valencia, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Barcelona, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Seville, Barcelona] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 9).\n |- The departure day of Helsinki is Day 5. The arrival day of Porto is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Helsinki to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Helsinki to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 9).\n   |- The departure day of Barcelona is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Helsinki, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Barcelona to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 9 - 13).\n     |- The departure day of Porto is Day 9. The arrival day of Dublin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Barcelona, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 16 - 18).\n       |- The departure day of Dublin is Day 13. The arrival day of Valencia is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Helsinki, Barcelona, Porto, Dublin].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Dublin to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 16 - 18).\n         |- The departure day of Seville is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Barcelona, Porto, Dublin, Seville].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Seville to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Helsinki, Barcelona, Porto, Dublin, Seville, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Dublin.\n**Day 9-13:** Visit Dublin for 5 days.\n**Day 13:** Fly from Dublin to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Valencia.\n**Day 16-18:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Paris**Edinburgh**Geneva**Lisbon**Reykjavik",
    "ground_truth_durations": "5**3**4**2**2**5",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Paris",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 2 days. From day 11 to day 12, there is a annual show you want to attend in Lisbon. You plan to stay in Edinburgh for 4 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Paris for 3 days. You plan to visit relatives in Paris between day 5 and day 7. You plan to stay in Geneva for 2 days. You would like to visit Naples for 5 days. You want to meet a friend in Naples between day 1 and day 5.\n\nHere are the cities that have direct flights:\nParis and Edinburgh, Paris and Geneva, Naples and Paris, Edinburgh and Geneva, Naples and Geneva, Lisbon and Reykjavik, Geneva and Lisbon, Naples and Lisbon, Paris and Reykjavik, Paris and Lisbon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 2 days. From day 11 to day 12, there is a annual show you want to attend in Lisbon. You plan to stay in Edinburgh for 4 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Paris for 3 days. You plan to visit relatives in Paris between day 5 and day 7. You plan to stay in Geneva for 2 days. You would like to visit Naples for 5 days. You want to meet a friend in Naples between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Paris to Edinburgh, from Paris to Geneva, from Naples to Paris, from Edinburgh to Geneva, from Naples to Geneva, from Lisbon to Reykjavik, from Geneva to Lisbon, from Naples to Lisbon, from Paris to Reykjavik, from Paris to Lisbon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Geneva.\n**Day 10-11:** Visit Geneva for 2 days.\n**Day 11:** Fly from Geneva to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_734",
    "estimated_output_tokens": 1539,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Edinburgh, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Geneva, Duration: 2 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 7.\n* City: Lisbon, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 7).\n |- The departure day of Naples is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Naples to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 11 - 12).\n   |- The departure day of Paris is Day 7. The arrival day of Lisbon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Naples, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Reykjavik, Geneva] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 11 - 12).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Lisbon is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Paris, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Edinburgh to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Edinburgh to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 11 - 12).\n       |- The departure day of Geneva is Day 11. The arrival day of Lisbon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Naples, Paris, Edinburgh, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Geneva to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Paris, Edinburgh, Geneva, Lisbon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Lisbon to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, Paris, Edinburgh, Geneva, Lisbon, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Geneva.\n**Day 10-11:** Visit Geneva for 2 days.\n**Day 11:** Fly from Geneva to Lisbon.\n**Day 11-12:** Visit Lisbon for 2 days.\n**Day 12:** Fly from Lisbon to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Athens**Dubrovnik**Manchester**Dublin**Oslo",
    "ground_truth_durations": "3**2**4**2**2**4",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Dublin"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Manchester",
        "Dublin"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Athens",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. From day 4 to day 7, there is a annual show you want to attend in Dubrovnik. You plan to stay in Dublin for 2 days. You have to attend a workshop in Dublin between day 8 and day 9. You plan to stay in Split for 3 days. You want to spend 2 days in Athens. You plan to stay in Oslo for 4 days. During day 9 and day 12, you have to attend a conference in Oslo. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nSplit and Dublin, Athens and Manchester, Dublin and Oslo, Dubrovnik and Dublin, Athens and Dubrovnik, Dubrovnik and Manchester, Manchester and Dublin, Split and Oslo, Athens and Oslo, Split and Athens, Manchester and Oslo, Athens and Dublin, Dubrovnik and Oslo, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. From day 4 to day 7, there is a annual show you want to attend in Dubrovnik. You plan to stay in Dublin for 2 days. You have to attend a workshop in Dublin between day 8 and day 9. You plan to stay in Split for 3 days. You want to spend 2 days in Athens. You plan to stay in Oslo for 4 days. During day 9 and day 12, you have to attend a conference in Oslo. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Split to Dublin, from Athens to Manchester, from Dublin to Oslo, from Dubrovnik to Dublin, from Athens to Dubrovnik, from Dubrovnik to Manchester, from Manchester to Dublin, from Split to Oslo, from Athens to Oslo, from Split to Athens, from Manchester to Oslo, from Athens to Dublin, from Dubrovnik to Oslo, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.\n**Day 8:** Fly from Manchester to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Oslo.\n**Day 9-12:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_735",
    "estimated_output_tokens": 1517,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Split, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Manchester, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 4 - 7.\n* City: Dublin, Fixed Schedule: Day 8 - 9.\n* City: Oslo, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Athens, Manchester] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 7).\n |- The departure day of Split is Day 3. The arrival day of Dubrovnik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Manchester] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 4 - 7).\n   |- The departure day of Athens is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Athens to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 8 - 9).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Dublin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Athens, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 8 - 9).\n       |- The departure day of Manchester is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Split, Athens, Dubrovnik, Manchester].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Manchester to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 9 - 12).\n         |- The departure day of Dublin is Day 9. The arrival day of Oslo is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Split, Athens, Dubrovnik, Manchester, Dublin].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Dublin to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Split, Athens, Dubrovnik, Manchester, Dublin, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.\n**Day 8:** Fly from Manchester to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Oslo.\n**Day 9-12:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Krakow**Dublin**Dubrovnik**Geneva**Porto",
    "ground_truth_durations": "5**4**5**2**5**4",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Dublin"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "London",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 12 and day 13. You plan to stay in Geneva for 5 days. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 17 and day 20 to tour together. You plan to stay in London for 5 days. You want to meet a friend in London between day 1 and day 5. You plan to stay in Dublin for 5 days.\n\nHere are the cities that have direct flights:\nKrakow and Dublin, London and Krakow, Geneva and Porto, Dublin and Dubrovnik, Dublin and Geneva, Dublin and Porto, Dubrovnik and Geneva, London and Dublin, London and Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 12 and day 13. You plan to stay in Geneva for 5 days. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 17 and day 20 to tour together. You plan to stay in London for 5 days. You want to meet a friend in London between day 1 and day 5. You plan to stay in Dublin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Dublin, from London to Krakow, from Geneva to Porto, from Dublin to Dubrovnik, from Dublin to Geneva, from Dublin to Porto, from Dubrovnik to Geneva, from London to Dublin, from London to Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Dublin.\n**Day 8-12:** Visit Dublin for 5 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-13:** Visit Dubrovnik for 2 days.\n**Day 13:** Fly from Dubrovnik to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Porto.\n**Day 17-20:** Visit Porto for 4 days.",
    "id": "trip_planning_example_736",
    "estimated_output_tokens": 1583,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Geneva, Duration: 5 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Dublin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 12 - 13.\n* City: Porto, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Geneva, Duration: 5 days.\n* City: Dublin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 13).\n |- The departure day of London is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva, Dublin] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from London to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 13).\n   |- The departure day of Krakow is Day 8. The arrival day of Dubrovnik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Dublin] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 12 - 13).\n     |- The departure day of Dublin is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [London, Krakow, Dublin].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Dublin to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 17 - 20).\n       |- The departure day of Dubrovnik is Day 13. The arrival day of Porto is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Krakow, Dublin, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Dubrovnik to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 17 - 20).\n         |- The departure day of Geneva is Day 17. The arrival day of Porto is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [London, Krakow, Dublin, Dubrovnik, Geneva].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [London, Krakow, Dublin, Dubrovnik, Geneva, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Dublin.\n**Day 8-12:** Visit Dublin for 5 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-13:** Visit Dubrovnik for 2 days.\n**Day 13:** Fly from Dubrovnik to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Porto.\n**Day 17-20:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**London**Berlin**Tallinn**Barcelona**Bucharest",
    "ground_truth_durations": "3**3**2**4**2**5",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Berlin",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 10 and day 14. You plan to stay in Barcelona for 2 days. You plan to stay in London for 3 days. You would like to meet your friends at London between day 3 and day 5 to tour together. You plan to stay in Stuttgart for 3 days. You would like to visit Berlin for 2 days. You would like to visit Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Bucharest, Stuttgart and London, Tallinn and Barcelona, Berlin and Barcelona, London and Barcelona, Barcelona and Bucharest, London and Berlin, Stuttgart and Barcelona, Stuttgart and Berlin, Berlin and Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 10 and day 14. You plan to stay in Barcelona for 2 days. You plan to stay in London for 3 days. You would like to meet your friends at London between day 3 and day 5 to tour together. You plan to stay in Stuttgart for 3 days. You would like to visit Berlin for 2 days. You would like to visit Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Bucharest, from Stuttgart to London, from Tallinn to Barcelona, from Berlin to Barcelona, from London to Barcelona, from Barcelona to Bucharest, from London to Berlin, from Stuttgart to Barcelona, from Stuttgart to Berlin, from Berlin to Tallinn.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Berlin.\n**Day 5-6:** Visit Berlin for 2 days.\n**Day 6:** Fly from Berlin to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_737",
    "estimated_output_tokens": 2427,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Barcelona, Duration: 2 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Stuttgart, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Bucharest, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Stuttgart, Berlin, Tallinn] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Barcelona is Day 2. The arrival day of London is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Berlin, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Barcelona to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Stuttgart is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 10 - 14).\n   |- The departure day of London is Day 5. The arrival day of Bucharest is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Berlin, Tallinn] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from London to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 10 - 14).\n     |- The departure day of Barcelona is Day 6. The arrival day of Bucharest is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stuttgart, London, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Tallinn] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Barcelona to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Barcelona to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from London to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 10 - 14).\n     |- The departure day of Berlin is Day 6. The arrival day of Bucharest is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stuttgart, London, Berlin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Berlin to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 10 - 14).\n       |- The departure day of Barcelona is Day 7. The arrival day of Bucharest is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Stuttgart, London, Berlin, Barcelona].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 10 - 14).\n       |- The departure day of Tallinn is Day 9. The arrival day of Bucharest is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Stuttgart, London, Berlin, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Tallinn to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 10 - 14).\n         |- The departure day of Barcelona is Day 10. The arrival day of Bucharest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Stuttgart, London, Berlin, Tallinn, Barcelona].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Barcelona to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stuttgart, London, Berlin, Tallinn, Barcelona, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Berlin.\n**Day 5-6:** Visit Berlin for 2 days.\n**Day 6:** Fly from Berlin to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Berlin**Reykjavik**Madrid**Milan**Vilnius",
    "ground_truth_durations": "4**3**4**2**3**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Berlin",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You would like to visit Madrid for 2 days. You would like to visit Berlin for 3 days. You want to meet a friend in Berlin between day 4 and day 6. You plan to stay in Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 6 and day 9. You plan to stay in Milan for 3 days. You want to spend 4 days in Warsaw. During day 1 and day 4, you have to attend a conference in Warsaw.\n\nHere are the cities that have direct flights:\nWarsaw and Milan, Warsaw and Madrid, Berlin and Vilnius, Warsaw and Reykjavik, Reykjavik and Milan, Warsaw and Vilnius, Madrid and Milan, Berlin and Milan, Milan and Vilnius, Warsaw and Berlin, Berlin and Reykjavik, from Reykjavik to Madrid, Berlin and Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You would like to visit Madrid for 2 days. You would like to visit Berlin for 3 days. You want to meet a friend in Berlin between day 4 and day 6. You plan to stay in Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 6 and day 9. You plan to stay in Milan for 3 days. You want to spend 4 days in Warsaw. During day 1 and day 4, you have to attend a conference in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Milan, from Warsaw to Madrid, from Berlin to Vilnius, from Warsaw to Reykjavik, from Reykjavik to Milan, from Warsaw to Vilnius, from Madrid to Milan, from Berlin to Milan, from Milan to Vilnius, from Warsaw to Berlin, from Berlin to Reykjavik, from Reykjavik to Madrid, from Berlin to Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Berlin.\n**Day 4-6:** Visit Berlin for 3 days.\n**Day 6:** Fly from Berlin to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Milan.\n**Day 10-12:** Visit Milan for 3 days.\n**Day 12:** Fly from Milan to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_738",
    "estimated_output_tokens": 1549,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Madrid, Duration: 2 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Milan, Duration: 3 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Fixed Schedule: Day 4 - 6.\n* City: Reykjavik, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Madrid, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 6).\n |- The departure day of Warsaw is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 9).\n   |- The departure day of Berlin is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Berlin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Warsaw, Berlin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Madrid, Milan] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Warsaw, Berlin, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Milan] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Madrid to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Madrid to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Warsaw, Berlin, Reykjavik, Madrid, Milan].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Milan to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Warsaw, Berlin, Reykjavik, Madrid, Milan, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Berlin.\n**Day 4-6:** Visit Berlin for 3 days.\n**Day 6:** Fly from Berlin to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Milan.\n**Day 10-12:** Visit Milan for 3 days.\n**Day 12:** Fly from Milan to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Manchester**Krakow**Paris**Vienna**Reykjavik",
    "ground_truth_durations": "2**2**2**4**2**3",
    "num_cities": 6,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Paris"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Manchester",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Krakow. You would like to meet your friends at Krakow between day 3 and day 4 to tour together. You want to spend 2 days in Manchester. You plan to stay in Paris for 4 days. From day 4 to day 7, there is a annual show you want to attend in Paris. You want to spend 2 days in Vienna. You have to attend a workshop in Vienna between day 7 and day 8. You want to spend 3 days in Reykjavik.\n\nHere are the cities that have direct flights:\nKrakow and Paris, Hamburg and Manchester, Vienna and Reykjavik, Paris and Vienna, Krakow and Vienna, Manchester and Vienna, Manchester and Krakow, Paris and Reykjavik, Hamburg and Paris, Hamburg and Vienna, Manchester and Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 10 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Krakow. You would like to meet your friends at Krakow between day 3 and day 4 to tour together. You want to spend 2 days in Manchester. You plan to stay in Paris for 4 days. From day 4 to day 7, there is a annual show you want to attend in Paris. You want to spend 2 days in Vienna. You have to attend a workshop in Vienna between day 7 and day 8. You want to spend 3 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Krakow to Paris, from Hamburg to Manchester, from Vienna to Reykjavik, from Paris to Vienna, from Krakow to Vienna, from Manchester to Vienna, from Manchester to Krakow, from Paris to Reykjavik, from Hamburg to Paris, from Hamburg to Vienna, from Manchester to Paris.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 10 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Manchester.\n**Day 2-3:** Visit Manchester for 2 days.\n**Day 3:** Fly from Manchester to Krakow.\n**Day 3-4:** Visit Krakow for 2 days.\n**Day 4:** Fly from Krakow to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_739",
    "estimated_output_tokens": 1499,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 2 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Manchester, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Reykjavik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 3 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 7.\n* City: Vienna, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Manchester, Reykjavik] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 4).\n |- The departure day of Hamburg is Day 2. The arrival day of Krakow is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Hamburg to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 3 - 4).\n   |- The departure day of Manchester is Day 3. The arrival day of Krakow is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Hamburg, Manchester].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Manchester to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 4 - 7).\n     |- The departure day of Krakow is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Hamburg, Manchester, Krakow].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Krakow to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 7 - 8).\n       |- The departure day of Paris is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Hamburg, Manchester, Krakow, Paris].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Paris to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Hamburg, Manchester, Krakow, Paris, Vienna].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Vienna to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Hamburg, Manchester, Krakow, Paris, Vienna, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Manchester.\n**Day 2-3:** Visit Manchester for 2 days.\n**Day 3:** Fly from Manchester to Krakow.\n**Day 3-4:** Visit Krakow for 2 days.\n**Day 4:** Fly from Krakow to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Geneva**Oslo**Lyon**London**Stuttgart",
    "ground_truth_durations": "2**3**5**4**4**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Stuttgart"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Manchester",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You would like to visit Oslo for 5 days. You want to spend 3 days in Geneva. From day 2 to day 4, there is a annual show you want to attend in Geneva. You would like to visit London for 4 days. You would like to meet your friends at London between day 11 and day 14 to tour together. You want to spend 4 days in Lyon. You want to meet a friend in Lyon between day 8 and day 11. You would like to visit Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Stuttgart, Geneva and London, Oslo and Lyon, Manchester and Oslo, Lyon and London, Geneva and Oslo, Manchester and Stuttgart, Oslo and London, Manchester and London, Manchester and Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You would like to visit Oslo for 5 days. You want to spend 3 days in Geneva. From day 2 to day 4, there is a annual show you want to attend in Geneva. You would like to visit London for 4 days. You would like to meet your friends at London between day 11 and day 14 to tour together. You want to spend 4 days in Lyon. You want to meet a friend in Lyon between day 8 and day 11. You would like to visit Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Stuttgart, from Geneva to London, from Oslo to Lyon, from Manchester to Oslo, from Lyon to London, from Geneva to Oslo, from Manchester to Stuttgart, from Oslo to London, from Manchester to London, from Manchester to Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Geneva.\n**Day 2-4:** Visit Geneva for 3 days.\n**Day 4:** Fly from Geneva to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to London.\n**Day 11-14:** Visit London for 4 days.\n**Day 14:** Fly from London to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_740",
    "estimated_output_tokens": 1446,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: London, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Stuttgart, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 2 - 4.\n* City: Lyon, Fixed Schedule: Day 8 - 11.\n* City: London, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Oslo, Stuttgart] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 2 - 4).\n |- The departure day of Manchester is Day 2. The arrival day of Geneva is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 8 - 11).\n   |- The departure day of Geneva is Day 4. The arrival day of Lyon is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Manchester, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 11).\n     |- The departure day of Oslo is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Geneva, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Oslo to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 11 - 14).\n       |- The departure day of Lyon is Day 11. The arrival day of London is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Manchester, Geneva, Oslo, Lyon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: London.\n         |- Try arranging to visit London from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Lyon to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Manchester, Geneva, Oslo, Lyon, London].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from London to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Geneva, Oslo, Lyon, London, Stuttgart].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Manchester and visit Manchester for 2 days.\n**Day 2:** Fly from Manchester to Geneva.\n**Day 2-4:** Visit Geneva for 3 days.\n**Day 4:** Fly from Geneva to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to London.\n**Day 11-14:** Visit London for 4 days.\n**Day 14:** Fly from London to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Stockholm**Barcelona**Valencia**Porto**Oslo",
    "ground_truth_durations": "3**5**4**5**4**2",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Barcelona",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 17 and day 18 to tour together. You want to spend 5 days in Valencia. You plan to stay in Tallinn for 3 days. You plan to stay in Stockholm for 5 days. You are going to attend a wedding in Stockholm between day 3 and day 7. You would like to visit Barcelona for 4 days. You plan to stay in Porto for 4 days.\n\nHere are the cities that have direct flights:\nTallinn and Oslo, Barcelona and Porto, Porto and Oslo, Tallinn and Barcelona, Barcelona and Valencia, Stockholm and Oslo, Tallinn and Stockholm, Stockholm and Barcelona, Valencia and Porto, Barcelona and Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 17 and day 18 to tour together. You want to spend 5 days in Valencia. You plan to stay in Tallinn for 3 days. You plan to stay in Stockholm for 5 days. You are going to attend a wedding in Stockholm between day 3 and day 7. You would like to visit Barcelona for 4 days. You plan to stay in Porto for 4 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Oslo, from Barcelona to Porto, from Porto to Oslo, from Tallinn to Barcelona, from Barcelona to Valencia, from Stockholm to Oslo, from Tallinn to Stockholm, from Stockholm to Barcelona, from Valencia to Porto, from Barcelona to Oslo.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Stockholm.\n**Day 3-7:** Visit Stockholm for 5 days.\n**Day 7:** Fly from Stockholm to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Porto.\n**Day 14-17:** Visit Porto for 4 days.\n**Day 17:** Fly from Porto to Oslo.\n**Day 17-18:** Visit Oslo for 2 days.",
    "id": "trip_planning_example_741",
    "estimated_output_tokens": 1655,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Valencia, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Barcelona, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 3 - 7.\n* City: Oslo, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Barcelona, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Barcelona, Porto] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 7).\n |- The departure day of Valencia is Day 5. The arrival day of Stockholm is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 7).\n |- The departure day of Tallinn is Day 3. The arrival day of Stockholm is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Oslo (Day 17 - 18).\n   |- The departure day of Stockholm is Day 7. The arrival day of Oslo is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Barcelona, Porto] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 17 - 18).\n     |- The departure day of Barcelona is Day 10. The arrival day of Oslo is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Tallinn, Stockholm, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 17 - 18).\n       |- The departure day of Valencia is Day 14. The arrival day of Oslo is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Tallinn, Stockholm, Barcelona, Valencia].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Valencia to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Oslo (Day 17 - 18).\n         |- The departure day of Porto is Day 17. The arrival day of Oslo is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Tallinn, Stockholm, Barcelona, Valencia, Porto].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Porto to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Tallinn, Stockholm, Barcelona, Valencia, Porto, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Stockholm.\n**Day 3-7:** Visit Stockholm for 5 days.\n**Day 7:** Fly from Stockholm to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Porto.\n**Day 14-17:** Visit Porto for 4 days.\n**Day 17:** Fly from Porto to Oslo.\n**Day 17-18:** Visit Oslo for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Bucharest**Barcelona**Reykjavik**Copenhagen**Dubrovnik",
    "ground_truth_durations": "5**3**4**3**3**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Reykjavik. You would like to visit Hamburg for 5 days. You plan to stay in Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 5 and day 7. You would like to visit Dubrovnik for 2 days. You want to meet a friend in Dubrovnik between day 14 and day 15. You plan to stay in Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 12 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nHamburg and Copenhagen, Copenhagen and Dubrovnik, Barcelona and Dubrovnik, Bucharest and Copenhagen, Hamburg and Barcelona, Hamburg and Bucharest, Bucharest and Barcelona, Barcelona and Reykjavik, Barcelona and Copenhagen, Reykjavik and Copenhagen.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Reykjavik. You would like to visit Hamburg for 5 days. You plan to stay in Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 5 and day 7. You would like to visit Dubrovnik for 2 days. You want to meet a friend in Dubrovnik between day 14 and day 15. You plan to stay in Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 12 and day 14 to tour together.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Copenhagen, from Copenhagen to Dubrovnik, from Barcelona to Dubrovnik, from Bucharest to Copenhagen, from Hamburg to Barcelona, from Hamburg to Bucharest, from Bucharest to Barcelona, from Barcelona to Reykjavik, from Barcelona to Copenhagen, from Reykjavik to Copenhagen.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Dubrovnik.\n**Day 14-15:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_742",
    "estimated_output_tokens": 2258,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Fixed Schedule: Day 12 - 14.\n* City: Dubrovnik, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik, Hamburg] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Barcelona is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Barcelona to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Bucharest is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Reykjavik is Day 3. The arrival day of Bucharest is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Hamburg] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Hamburg is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 12 - 14).\n   |- The departure day of Bucharest is Day 7. The arrival day of Copenhagen is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Bucharest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Bucharest to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 12 - 14).\n     |- The departure day of Barcelona is Day 10. The arrival day of Copenhagen is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Bucharest, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Barcelona to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 12 - 14).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Bucharest, Barcelona, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Reykjavik to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 14 - 15).\n         |- The departure day of Copenhagen is Day 14. The arrival day of Dubrovnik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Bucharest, Barcelona, Reykjavik, Copenhagen].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Copenhagen to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Bucharest, Barcelona, Reykjavik, Copenhagen, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Dubrovnik.\n**Day 14-15:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lisbon**Bucharest**Copenhagen**Hamburg**Salzburg",
    "ground_truth_durations": "2**4**4**2**3**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Lisbon. You are going to attend a wedding in Lisbon between day 2 and day 5. You want to spend 2 days in Copenhagen. You would like to visit Salzburg for 2 days. You plan to stay in Valencia for 2 days. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 5 and day 8 to tour together. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nValencia and Lisbon, Lisbon and Copenhagen, Valencia and Bucharest, Lisbon and Bucharest, Valencia and Copenhagen, Copenhagen and Hamburg, Bucharest and Hamburg, Bucharest and Copenhagen, Lisbon and Hamburg, Hamburg and Salzburg.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Lisbon. You are going to attend a wedding in Lisbon between day 2 and day 5. You want to spend 2 days in Copenhagen. You would like to visit Salzburg for 2 days. You plan to stay in Valencia for 2 days. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 5 and day 8 to tour together. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Valencia to Lisbon, from Lisbon to Copenhagen, from Valencia to Bucharest, from Lisbon to Bucharest, from Valencia to Copenhagen, from Copenhagen to Hamburg, from Bucharest to Hamburg, from Bucharest to Copenhagen, from Lisbon to Hamburg, from Hamburg to Salzburg.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Hamburg.\n**Day 9-11:** Visit Hamburg for 3 days.\n**Day 11:** Fly from Hamburg to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_743",
    "estimated_output_tokens": 1938,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Copenhagen, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Hamburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 2 - 5.\n* City: Bucharest, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Valencia, Hamburg] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 5).\n |- The departure day of Copenhagen is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Copenhagen to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 5).\n |- The departure day of Salzburg is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 5).\n |- The departure day of Valencia is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 5 - 8).\n   |- The departure day of Lisbon is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lisbon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Lisbon, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Hamburg] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Valencia, Lisbon, Bucharest, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Hamburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Copenhagen to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Copenhagen to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Lisbon, Bucharest, Copenhagen, Hamburg].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Hamburg to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Valencia, Lisbon, Bucharest, Copenhagen, Hamburg, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Hamburg.\n**Day 9-11:** Visit Hamburg for 3 days.\n**Day 11:** Fly from Hamburg to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Munich**Geneva**Santorini**Bucharest**Riga",
    "ground_truth_durations": "4**2**4**2**4**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 9,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Geneva"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 4 and day 5 to tour together. You plan to stay in Riga for 4 days. You plan to stay in Vilnius for 4 days. You would like to visit Geneva for 4 days. You want to spend 2 days in Santorini. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 9 and day 12.\n\nHere are the cities that have direct flights:\nMunich and Geneva, from Vilnius to Munich, from Riga to Vilnius, Geneva and Santorini, Santorini and Bucharest, from Riga to Munich, Munich and Bucharest, Bucharest and Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 4 and day 5 to tour together. You plan to stay in Riga for 4 days. You plan to stay in Vilnius for 4 days. You would like to visit Geneva for 4 days. You want to spend 2 days in Santorini. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 9 and day 12.\n\nHere are the cities that have direct flights:\nfrom Munich to Geneva, from Vilnius to Munich, from Riga to Vilnius, from Geneva to Santorini, from Santorini to Bucharest, from Riga to Munich, from Munich to Bucharest, from Bucharest to Riga.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Munich.\n**Day 4-5:** Visit Munich for 2 days.\n**Day 5:** Fly from Munich to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Riga.\n**Day 12-15:** Visit Riga for 4 days.",
    "id": "trip_planning_example_744",
    "estimated_output_tokens": 2867,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Riga, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Vilnius, Geneva, Santorini] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 5).\n |- The departure day of Riga is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 9 - 12).\n   |- The departure day of Munich is Day 5. The arrival day of Bucharest is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Santorini] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 9 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Bucharest is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Santorini] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 9 - 12).\n       |- The departure day of Santorini is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Riga, Munich, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Santorini to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Riga, Munich, Geneva, Santorini, Bucharest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Bucharest to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 5).\n |- The departure day of Vilnius is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 9 - 12).\n   |- The departure day of Munich is Day 5. The arrival day of Bucharest is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vilnius, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Santorini] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 9 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Bucharest is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Santorini] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 9 - 12).\n       |- The departure day of Santorini is Day 9. The arrival day of Bucharest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vilnius, Munich, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Santorini to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Vilnius, Munich, Geneva, Santorini, Bucharest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vilnius, Munich, Geneva, Santorini, Bucharest, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Munich.\n**Day 4-5:** Visit Munich for 2 days.\n**Day 5:** Fly from Munich to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Bucharest.\n**Day 9-12:** Visit Bucharest for 4 days.\n**Day 12:** Fly from Bucharest to Riga.\n**Day 12-15:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Dublin**Venice**Lisbon**Stuttgart",
    "ground_truth_durations": "4**3**3**4**3**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Venice"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Vilnius",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. From day 4 to day 6, there is a annual show you want to attend in Split. You would like to visit Venice for 4 days. You are going to attend a wedding in Venice between day 8 and day 11. You plan to stay in Vilnius for 4 days. You want to spend 3 days in Lisbon. You want to spend 4 days in Stuttgart. During day 13 and day 16, you have to attend a conference in Stuttgart. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Venice, Split and Dublin, Lisbon and Stuttgart, Dublin and Lisbon, Split and Stuttgart, Venice and Stuttgart, Venice and Lisbon, Vilnius and Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. From day 4 to day 6, there is a annual show you want to attend in Split. You would like to visit Venice for 4 days. You are going to attend a wedding in Venice between day 8 and day 11. You plan to stay in Vilnius for 4 days. You want to spend 3 days in Lisbon. You want to spend 4 days in Stuttgart. During day 13 and day 16, you have to attend a conference in Stuttgart. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Venice, from Split to Dublin, from Lisbon to Stuttgart, from Dublin to Lisbon, from Split to Stuttgart, from Venice to Stuttgart, from Venice to Lisbon, from Vilnius to Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-16:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_745",
    "estimated_output_tokens": 1569,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Vilnius, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 6.\n* City: Venice, Fixed Schedule: Day 8 - 11.\n* City: Stuttgart, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Dublin] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 6).\n |- The departure day of Vilnius is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 11).\n   |- The departure day of Split is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Dublin] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 11).\n     |- The departure day of Dublin is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Split, Dublin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 13 - 16).\n       |- The departure day of Venice is Day 11. The arrival day of Stuttgart is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Split, Dublin, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Venice to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 13 - 16).\n         |- The departure day of Lisbon is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Split, Dublin, Venice, Lisbon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Lisbon to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Vilnius, Split, Dublin, Venice, Lisbon, Stuttgart].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-16:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Hamburg**Stuttgart**Krakow**Copenhagen**Dubrovnik",
    "ground_truth_durations": "3**3**4**2**3**4",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. You want to spend 2 days in Krakow. You would like to visit Copenhagen for 3 days. You want to spend 3 days in Bucharest. You would like to visit Hamburg for 3 days. You would like to meet your friends at Hamburg between day 3 and day 5 to tour together. You plan to stay in Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 5 and day 8.\n\nHere are the cities that have direct flights:\nKrakow and Copenhagen, Stuttgart and Copenhagen, Bucharest and Copenhagen, Copenhagen and Dubrovnik, Stuttgart and Krakow, Hamburg and Stuttgart, Bucharest and Hamburg, Hamburg and Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 4 days. You want to spend 2 days in Krakow. You would like to visit Copenhagen for 3 days. You want to spend 3 days in Bucharest. You would like to visit Hamburg for 3 days. You would like to meet your friends at Hamburg between day 3 and day 5 to tour together. You plan to stay in Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 5 and day 8.\n\nHere are the cities that have direct flights:\nfrom Krakow to Copenhagen, from Stuttgart to Copenhagen, from Bucharest to Copenhagen, from Copenhagen to Dubrovnik, from Stuttgart to Krakow, from Hamburg to Stuttgart, from Bucharest to Hamburg, from Hamburg to Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Dubrovnik.\n**Day 11-14:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_746",
    "estimated_output_tokens": 2305,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 3 - 5.\n* City: Stuttgart, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Copenhagen, Bucharest] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Hamburg is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Krakow is Day 2. The arrival day of Hamburg is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen, Bucharest] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 3 - 5).\n   |- The departure day of Copenhagen is Day 4. The arrival day of Hamburg is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Copenhagen is Day 3. The arrival day of Hamburg is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Bucharest is Day 3. The arrival day of Hamburg is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 8).\n   |- The departure day of Hamburg is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Hamburg to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Hamburg, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stuttgart to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Hamburg, Stuttgart, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Krakow to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Krakow to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Bucharest, Hamburg, Stuttgart, Krakow, Copenhagen].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Copenhagen to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Bucharest, Hamburg, Stuttgart, Krakow, Copenhagen, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Stuttgart.\n**Day 5-8:** Visit Stuttgart for 4 days.\n**Day 8:** Fly from Stuttgart to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Dubrovnik.\n**Day 11-14:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Venice**Oslo**Hamburg**Budapest**Mykonos",
    "ground_truth_durations": "5**3**5**5**4**2",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 18,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Hamburg",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You would like to visit Oslo for 5 days. During day 7 and day 11, you have to attend a conference in Oslo. You want to spend 5 days in Stuttgart. You plan to stay in Budapest for 4 days. You want to spend 3 days in Venice. You want to spend 2 days in Mykonos. From day 18 to day 19, there is a annual show you want to attend in Mykonos.\n\nHere are the cities that have direct flights:\nStuttgart and Budapest, Oslo and Hamburg, Stuttgart and Venice, Stuttgart and Hamburg, Venice and Hamburg, Venice and Oslo, Oslo and Budapest, Budapest and Mykonos, Hamburg and Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You would like to visit Oslo for 5 days. During day 7 and day 11, you have to attend a conference in Oslo. You want to spend 5 days in Stuttgart. You plan to stay in Budapest for 4 days. You want to spend 3 days in Venice. You want to spend 2 days in Mykonos. From day 18 to day 19, there is a annual show you want to attend in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Budapest, from Oslo to Hamburg, from Stuttgart to Venice, from Stuttgart to Hamburg, from Venice to Hamburg, from Venice to Oslo, from Oslo to Budapest, from Budapest to Mykonos, from Hamburg to Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Oslo.\n**Day 7-11:** Visit Oslo for 5 days.\n**Day 11:** Fly from Oslo to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Budapest.\n**Day 15-18:** Visit Budapest for 4 days.\n**Day 18:** Fly from Budapest to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_747",
    "estimated_output_tokens": 2145,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 5 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Stuttgart, Duration: 5 days.\n* City: Budapest, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 7 - 11.\n* City: Mykonos, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Budapest, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Stuttgart, Budapest, Venice] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 7 - 11).\n |- The departure day of Hamburg is Day 5. The arrival day of Oslo is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Budapest, Venice] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 7 - 11).\n   |- The departure day of Budapest is Day 8. The arrival day of Oslo is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 7 - 11).\n |- The departure day of Stuttgart is Day 5. The arrival day of Oslo is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Budapest, Venice] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 7 - 11).\n   |- The departure day of Hamburg is Day 9. The arrival day of Oslo is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 7 - 11).\n   |- The departure day of Budapest is Day 8. The arrival day of Oslo is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 7 - 11).\n   |- The departure day of Venice is Day 7. The arrival day of Oslo is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Venice to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 18 - 19).\n     |- The departure day of Oslo is Day 11. The arrival day of Mykonos is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Venice, Oslo].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Budapest] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Oslo to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 18 - 19).\n       |- The departure day of Hamburg is Day 15. The arrival day of Mykonos is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Venice, Oslo, Hamburg].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Hamburg to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 18 - 19).\n         |- The departure day of Budapest is Day 18. The arrival day of Mykonos is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Venice, Oslo, Hamburg, Budapest].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Budapest to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stuttgart, Venice, Oslo, Hamburg, Budapest, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Oslo.\n**Day 7-11:** Visit Oslo for 5 days.\n**Day 11:** Fly from Oslo to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Budapest.\n**Day 15-18:** Visit Budapest for 4 days.\n**Day 18:** Fly from Budapest to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Paris**Florence**London**Helsinki**Reykjavik",
    "ground_truth_durations": "2**2**3**2**3**4",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Helsinki"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Milan",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You would like to meet your friends at Paris between day 2 and day 3 to tour together. You would like to visit London for 2 days. You plan to stay in Helsinki for 3 days. You would like to visit Florence for 3 days. You plan to stay in Milan for 2 days. During day 1 and day 2, you have to attend a conference in Milan. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 8 and day 11.\n\nHere are the cities that have direct flights:\nMilan and Helsinki, London and Reykjavik, Florence and London, Milan and Paris, London and Helsinki, Paris and Reykjavik, Helsinki and Reykjavik, Paris and Helsinki, Paris and Florence, Paris and London, Milan and Reykjavik, Milan and London.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You would like to meet your friends at Paris between day 2 and day 3 to tour together. You would like to visit London for 2 days. You plan to stay in Helsinki for 3 days. You would like to visit Florence for 3 days. You plan to stay in Milan for 2 days. During day 1 and day 2, you have to attend a conference in Milan. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 8 and day 11.\n\nHere are the cities that have direct flights:\nfrom Milan to Helsinki, from London to Reykjavik, from Florence to London, from Milan to Paris, from London to Helsinki, from Paris to Reykjavik, from Helsinki to Reykjavik, from Paris to Helsinki, from Paris to Florence, from Paris to London, from Milan to Reykjavik, from Milan to London.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Florence.\n**Day 3-5:** Visit Florence for 3 days.\n**Day 5:** Fly from Florence to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Helsinki.\n**Day 6-8:** Visit Helsinki for 3 days.\n**Day 8:** Fly from Helsinki to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_748",
    "estimated_output_tokens": 2366,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: London, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n* City: Florence, Duration: 3 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 2.\n* City: Paris, Fixed Schedule: Day 2 - 3.\n* City: Reykjavik, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n* City: Florence, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 3).\n |- The departure day of Milan is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Milan to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 8 - 11).\n   |- The departure day of Paris is Day 3. The arrival day of Reykjavik is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Milan, Paris].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Helsinki, Florence] and explore these options in order.\n     |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Paris to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 8 - 11).\n     |- The departure day of London is Day 4. The arrival day of Reykjavik is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Milan, Paris, London].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Florence] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from London to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 8 - 11).\n       |- The departure day of Helsinki is Day 6. The arrival day of Reykjavik is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Milan, Paris, London, Helsinki].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n         |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from London to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Paris to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 8 - 11).\n     |- The departure day of Helsinki is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Paris, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Florence] and explore these options in order.\n       |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Helsinki to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Helsinki to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 8 - 11).\n     |- The departure day of Florence is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Helsinki] and explore these options in order.\n       |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Florence to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 11).\n       |- The departure day of London is Day 6. The arrival day of Reykjavik is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Milan, Paris, Florence, London].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from London to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 8 - 11).\n         |- The departure day of Helsinki is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Milan, Paris, Florence, London, Helsinki].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Helsinki to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Milan, Paris, Florence, London, Helsinki, Reykjavik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Florence.\n**Day 3-5:** Visit Florence for 3 days.\n**Day 5:** Fly from Florence to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Helsinki.\n**Day 6-8:** Visit Helsinki for 3 days.\n**Day 8:** Fly from Helsinki to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Paris**Riga**Milan**Porto**Stuttgart",
    "ground_truth_durations": "2**3**3**4**2**2",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Riga"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Riga",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. From day 4 to day 6, there is a annual show you want to attend in Riga. You want to spend 2 days in Stuttgart. You want to spend 4 days in Milan. You are going to attend a wedding in Milan between day 6 and day 9. You would like to visit Paris for 3 days. You want to spend 2 days in Naples. You plan to stay in Porto for 2 days. You would like to meet your friends at Porto between day 9 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nParis and Riga, Paris and Porto, Naples and Milan, Naples and Paris, Porto and Stuttgart, Milan and Stuttgart, Paris and Stuttgart, Milan and Porto, Naples and Stuttgart, Paris and Milan, Riga and Milan.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. From day 4 to day 6, there is a annual show you want to attend in Riga. You want to spend 2 days in Stuttgart. You want to spend 4 days in Milan. You are going to attend a wedding in Milan between day 6 and day 9. You would like to visit Paris for 3 days. You want to spend 2 days in Naples. You plan to stay in Porto for 2 days. You would like to meet your friends at Porto between day 9 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nfrom Paris to Riga, from Paris to Porto, from Naples to Milan, from Naples to Paris, from Porto to Stuttgart, from Milan to Stuttgart, from Paris to Stuttgart, from Milan to Porto, from Naples to Stuttgart, from Paris to Milan, from Riga to Milan.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Porto.\n**Day 9-10:** Visit Porto for 2 days.\n**Day 10:** Fly from Porto to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_749",
    "estimated_output_tokens": 2528,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Stuttgart, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Paris, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 4 - 6.\n* City: Milan, Fixed Schedule: Day 6 - 9.\n* City: Porto, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Paris, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Paris, Naples] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 6).\n |- The departure day of Stuttgart is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Naples] and explore these options in order.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 6).\n |- The departure day of Paris is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Naples] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 6).\n   |- The departure day of Stuttgart is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Stuttgart].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stuttgart to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 6).\n |- The departure day of Naples is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Paris] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Naples to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 6).\n   |- The departure day of Stuttgart is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Naples, Stuttgart].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n     |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stuttgart to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 6).\n   |- The departure day of Paris is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 6 - 9).\n     |- The departure day of Riga is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Paris, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Riga to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 10).\n       |- The departure day of Milan is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Paris, Riga, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Milan to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Paris, Riga, Milan, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Porto to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Naples, Paris, Riga, Milan, Porto, Stuttgart].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Porto.\n**Day 9-10:** Visit Porto for 2 days.\n**Day 10:** Fly from Porto to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Barcelona**Geneva**Porto**Hamburg**Bucharest",
    "ground_truth_durations": "3**2**2**4**2**3",
    "num_cities": 6,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Santorini",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You plan to stay in Santorini for 3 days. You plan to visit relatives in Santorini between day 1 and day 3. You plan to stay in Geneva for 2 days. From day 4 to day 5, there is a annual show you want to attend in Geneva. You want to spend 2 days in Hamburg. You would like to visit Barcelona for 2 days. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nPorto and Hamburg, from Hamburg to Geneva, Hamburg and Bucharest, Barcelona and Bucharest, Santorini and Barcelona, Barcelona and Porto, Geneva and Porto, Barcelona and Geneva, Barcelona and Hamburg, Santorini and Bucharest, Santorini and Geneva.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You plan to stay in Santorini for 3 days. You plan to visit relatives in Santorini between day 1 and day 3. You plan to stay in Geneva for 2 days. From day 4 to day 5, there is a annual show you want to attend in Geneva. You want to spend 2 days in Hamburg. You would like to visit Barcelona for 2 days. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Porto to Hamburg, from Hamburg to Geneva, from Hamburg to Bucharest, from Barcelona to Bucharest, from Santorini to Barcelona, from Barcelona to Porto, from Geneva to Porto, from Barcelona to Geneva, from Barcelona to Hamburg, from Santorini to Bucharest, from Santorini to Geneva.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 11 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Geneva.\n**Day 4-5:** Visit Geneva for 2 days.\n**Day 5:** Fly from Geneva to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Bucharest.\n**Day 9-11:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_750",
    "estimated_output_tokens": 1720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Hamburg, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 3.\n* City: Geneva, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 4 - 5).\n |- The departure day of Santorini is Day 3. The arrival day of Geneva is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Barcelona, Porto] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 5).\n   |- The departure day of Bucharest is Day 5. The arrival day of Geneva is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 5).\n   |- The departure day of Barcelona is Day 4. The arrival day of Geneva is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Barcelona to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Barcelona, Geneva].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Porto] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Geneva to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Geneva to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Barcelona, Geneva, Porto].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Porto to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Porto to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Santorini, Barcelona, Geneva, Porto, Hamburg].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Hamburg to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Santorini, Barcelona, Geneva, Porto, Hamburg, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Geneva.\n**Day 4-5:** Visit Geneva for 2 days.\n**Day 5:** Fly from Geneva to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Bucharest.\n**Day 9-11:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Helsinki**Copenhagen**Tallinn**Barcelona**Florence",
    "ground_truth_durations": "3**3**4**2**4**3",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Florence"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Madrid",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You plan to stay in Madrid for 3 days. From day 1 to day 3, there is a annual show you want to attend in Madrid. You want to spend 3 days in Helsinki. You want to spend 4 days in Copenhagen. You want to meet a friend in Copenhagen between day 5 and day 8. You plan to stay in Barcelona for 4 days. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nMadrid and Florence, Barcelona and Florence, Madrid and Barcelona, Copenhagen and Barcelona, Tallinn and Barcelona, Helsinki and Copenhagen, Helsinki and Tallinn, Madrid and Helsinki, Copenhagen and Tallinn, Helsinki and Barcelona, Madrid and Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You plan to stay in Madrid for 3 days. From day 1 to day 3, there is a annual show you want to attend in Madrid. You want to spend 3 days in Helsinki. You want to spend 4 days in Copenhagen. You want to meet a friend in Copenhagen between day 5 and day 8. You plan to stay in Barcelona for 4 days. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Madrid to Florence, from Barcelona to Florence, from Madrid to Barcelona, from Copenhagen to Barcelona, from Tallinn to Barcelona, from Helsinki to Copenhagen, from Helsinki to Tallinn, from Madrid to Helsinki, from Copenhagen to Tallinn, from Helsinki to Barcelona, from Madrid to Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Helsinki.\n**Day 3-5:** Visit Helsinki for 3 days.\n**Day 5:** Fly from Helsinki to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-9:** Visit Tallinn for 2 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Florence.\n**Day 12-14:** Visit Florence for 3 days.",
    "id": "trip_planning_example_751",
    "estimated_output_tokens": 2181,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 3.\n* City: Copenhagen, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Florence, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Barcelona, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 5 - 8).\n |- The departure day of Madrid is Day 3. The arrival day of Copenhagen is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Helsinki, Barcelona, Tallinn] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Madrid to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 5 - 8).\n   |- The departure day of Florence is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Madrid to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 5 - 8).\n   |- The departure day of Helsinki is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Helsinki, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona, Tallinn] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Copenhagen to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Helsinki, Copenhagen, Barcelona].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn] and explore these options in order.\n         |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Barcelona to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Madrid, Helsinki, Copenhagen, Barcelona, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Florence to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Helsinki, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona] and explore these options in order.\n         |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Tallinn to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Madrid, Helsinki, Copenhagen, Tallinn, Barcelona].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Barcelona to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Madrid, Helsinki, Copenhagen, Tallinn, Barcelona, Florence].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Helsinki.\n**Day 3-5:** Visit Helsinki for 3 days.\n**Day 5:** Fly from Helsinki to Copenhagen.\n**Day 5-8:** Visit Copenhagen for 4 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-9:** Visit Tallinn for 2 days.\n**Day 9:** Fly from Tallinn to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Florence.\n**Day 12-14:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Dubrovnik**Helsinki**Tallinn**Amsterdam**Seville",
    "ground_truth_durations": "2**4**5**2**4**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You want to spend 2 days in Geneva. From day 1 to day 2, there is a annual show you want to attend in Geneva. You want to spend 5 days in Helsinki. You would like to visit Tallinn for 2 days. You want to spend 4 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 2 and day 5. You want to spend 4 days in Amsterdam.\n\nHere are the cities that have direct flights:\nGeneva and Helsinki, Amsterdam and Seville, Tallinn and Amsterdam, Helsinki and Amsterdam, Geneva and Amsterdam, Helsinki and Tallinn, Dubrovnik and Amsterdam, Dubrovnik and Helsinki, Geneva and Dubrovnik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You want to spend 2 days in Geneva. From day 1 to day 2, there is a annual show you want to attend in Geneva. You want to spend 5 days in Helsinki. You would like to visit Tallinn for 2 days. You want to spend 4 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 2 and day 5. You want to spend 4 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Geneva to Helsinki, from Amsterdam to Seville, from Tallinn to Amsterdam, from Helsinki to Amsterdam, from Geneva to Amsterdam, from Helsinki to Tallinn, from Dubrovnik to Amsterdam, from Dubrovnik to Helsinki, from Geneva to Dubrovnik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-9:** Visit Helsinki for 5 days.\n**Day 9:** Fly from Helsinki to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Amsterdam.\n**Day 10-13:** Visit Amsterdam for 4 days.\n**Day 13:** Fly from Amsterdam to Seville.\n**Day 13-16:** Visit Seville for 4 days.",
    "id": "trip_planning_example_752",
    "estimated_output_tokens": 1539,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Amsterdam, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Fixed Schedule: Day 2 - 5.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 5).\n |- The departure day of Geneva is Day 2. The arrival day of Dubrovnik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Helsinki, Tallinn, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dubrovnik to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dubrovnik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Dubrovnik, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Tallinn, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Helsinki to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Dubrovnik, Helsinki, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Tallinn to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Tallinn to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Dubrovnik, Helsinki, Tallinn, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Amsterdam to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Geneva, Dubrovnik, Helsinki, Tallinn, Amsterdam, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-9:** Visit Helsinki for 5 days.\n**Day 9:** Fly from Helsinki to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Amsterdam.\n**Day 10-13:** Visit Amsterdam for 4 days.\n**Day 13:** Fly from Amsterdam to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Dubrovnik**Rome**Helsinki**Istanbul**Valencia",
    "ground_truth_durations": "5**5**5**4**5**2",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Munich",
        "Rome"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. From day 13 to day 16, there is a annual show you want to attend in Helsinki. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 9 and day 13 to tour together. You plan to stay in Dubrovnik for 5 days. You want to meet a friend in Dubrovnik between day 5 and day 9. You plan to stay in Munich for 5 days. You would like to visit Valencia for 2 days. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Valencia, Rome and Istanbul, from Dubrovnik to Istanbul, Munich and Valencia, Munich and Dubrovnik, Munich and Istanbul, Munich and Rome, Munich and Helsinki, Rome and Valencia, Rome and Helsinki, Dubrovnik and Rome, Dubrovnik and Helsinki, Helsinki and Istanbul.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. From day 13 to day 16, there is a annual show you want to attend in Helsinki. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 9 and day 13 to tour together. You plan to stay in Dubrovnik for 5 days. You want to meet a friend in Dubrovnik between day 5 and day 9. You plan to stay in Munich for 5 days. You would like to visit Valencia for 2 days. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Valencia, from Rome to Istanbul, from Dubrovnik to Istanbul, from Munich to Valencia, from Munich to Dubrovnik, from Munich to Istanbul, from Munich to Rome, from Munich to Helsinki, from Rome to Valencia, from Rome to Helsinki, from Dubrovnik to Rome, from Dubrovnik to Helsinki, from Helsinki to Istanbul.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Rome.\n**Day 9-13:** Visit Rome for 5 days.\n**Day 13:** Fly from Rome to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Istanbul.\n**Day 16-20:** Visit Istanbul for 5 days.\n**Day 20:** Fly from Istanbul to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_753",
    "estimated_output_tokens": 1504,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Munich, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 5 - 9.\n* City: Rome, Fixed Schedule: Day 9 - 13.\n* City: Helsinki, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Valencia, Istanbul] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 9).\n |- The departure day of Munich is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 9 - 13).\n   |- The departure day of Dubrovnik is Day 9. The arrival day of Rome is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Munich, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Dubrovnik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 13 - 16).\n     |- The departure day of Rome is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Munich, Dubrovnik, Rome].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Rome to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Munich, Dubrovnik, Rome, Helsinki].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Istanbul] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Helsinki to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Munich, Dubrovnik, Rome, Helsinki, Istanbul].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Istanbul to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Munich, Dubrovnik, Rome, Helsinki, Istanbul, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-9:** Visit Dubrovnik for 5 days.\n**Day 9:** Fly from Dubrovnik to Rome.\n**Day 9-13:** Visit Rome for 5 days.\n**Day 13:** Fly from Rome to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Istanbul.\n**Day 16-20:** Visit Istanbul for 5 days.\n**Day 20:** Fly from Istanbul to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Athens**Geneva**Barcelona**Riga**Bucharest",
    "ground_truth_durations": "4**5**5**2**4**4",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Geneva",
        "Barcelona"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Valencia",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You would like to visit Athens for 5 days. From day 4 to day 8, there is a annual show you want to attend in Athens. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 1 and day 4 to tour together. You would like to visit Barcelona for 2 days. You plan to stay in Bucharest for 4 days. During day 16 and day 19, you have to attend a conference in Bucharest. You plan to stay in Geneva for 5 days.\n\nHere are the cities that have direct flights:\nValencia and Barcelona, Athens and Geneva, Riga and Bucharest, Geneva and Barcelona, Valencia and Geneva, Athens and Bucharest, from Athens to Riga, from Valencia to Athens, Athens and Barcelona, Barcelona and Bucharest, Barcelona and Riga, Valencia and Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You would like to visit Athens for 5 days. From day 4 to day 8, there is a annual show you want to attend in Athens. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 1 and day 4 to tour together. You would like to visit Barcelona for 2 days. You plan to stay in Bucharest for 4 days. During day 16 and day 19, you have to attend a conference in Bucharest. You plan to stay in Geneva for 5 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Barcelona, from Athens to Geneva, from Riga to Bucharest, from Geneva to Barcelona, from Valencia to Geneva, from Athens to Bucharest, from Athens to Riga, from Valencia to Athens, from Athens to Barcelona, from Barcelona to Bucharest, from Barcelona to Riga, from Valencia to Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Geneva.\n**Day 8-12:** Visit Geneva for 5 days.\n**Day 12:** Fly from Geneva to Barcelona.\n**Day 12-13:** Visit Barcelona for 2 days.\n**Day 13:** Fly from Barcelona to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Bucharest.\n**Day 16-19:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_754",
    "estimated_output_tokens": 2395,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Geneva, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 4.\n* City: Athens, Fixed Schedule: Day 4 - 8.\n* City: Bucharest, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Valencia is Day 4. The arrival day of Athens is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 16 - 19).\n   |- The departure day of Athens is Day 8. The arrival day of Bucharest is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Valencia, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Barcelona, Geneva] and explore these options in order.\n     |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 16 - 19).\n     |- The departure day of Riga is Day 11. The arrival day of Bucharest is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Valencia, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Geneva] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Riga to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Riga to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 16 - 19).\n     |- The departure day of Barcelona is Day 9. The arrival day of Bucharest is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Athens, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Geneva] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Barcelona to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 16 - 19).\n       |- The departure day of Riga is Day 12. The arrival day of Bucharest is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Athens, Barcelona, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Riga to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Barcelona to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Athens to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 16 - 19).\n     |- The departure day of Geneva is Day 12. The arrival day of Bucharest is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Valencia, Athens, Geneva].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Barcelona] and explore these options in order.\n       |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Geneva to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Geneva to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 16 - 19).\n       |- The departure day of Barcelona is Day 13. The arrival day of Bucharest is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Athens, Geneva, Barcelona].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Barcelona to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 16 - 19).\n         |- The departure day of Riga is Day 16. The arrival day of Bucharest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Valencia, Athens, Geneva, Barcelona, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Riga to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Athens, Geneva, Barcelona, Riga, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Geneva.\n**Day 8-12:** Visit Geneva for 5 days.\n**Day 12:** Fly from Geneva to Barcelona.\n**Day 12-13:** Visit Barcelona for 2 days.\n**Day 13:** Fly from Barcelona to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Bucharest.\n**Day 16-19:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**London**Nice**Amsterdam**Riga**Brussels",
    "ground_truth_durations": "2**2**2**2**5**5",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Amsterdam"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "Warsaw",
        "London"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Warsaw",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. You want to spend 2 days in Amsterdam. You want to meet a friend in Amsterdam between day 4 and day 5. You want to spend 2 days in Warsaw. You have to attend a workshop in Warsaw between day 1 and day 2. You would like to visit Riga for 5 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in London. You are going to attend a wedding in London between day 2 and day 3.\n\nHere are the cities that have direct flights:\nLondon and Amsterdam, Riga and Brussels, Warsaw and Brussels, Amsterdam and Riga, Nice and Riga, London and Brussels, Warsaw and London, London and Nice, Nice and Amsterdam, Warsaw and Riga, Warsaw and Amsterdam, Nice and Brussels, Warsaw and Nice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. You want to spend 2 days in Amsterdam. You want to meet a friend in Amsterdam between day 4 and day 5. You want to spend 2 days in Warsaw. You have to attend a workshop in Warsaw between day 1 and day 2. You would like to visit Riga for 5 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in London. You are going to attend a wedding in London between day 2 and day 3.\n\nHere are the cities that have direct flights:\nfrom London to Amsterdam, from Riga to Brussels, from Warsaw to Brussels, from Amsterdam to Riga, from Nice to Riga, from London to Brussels, from Warsaw to London, from London to Nice, from Nice to Amsterdam, from Warsaw to Riga, from Warsaw to Amsterdam, from Nice to Brussels, from Warsaw to Nice.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Nice.\n**Day 3-4:** Visit Nice for 2 days.\n**Day 4:** Fly from Nice to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Riga.\n**Day 5-9:** Visit Riga for 5 days.\n**Day 9:** Fly from Riga to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.",
    "id": "trip_planning_example_755",
    "estimated_output_tokens": 1427,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Riga, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 2.\n* City: London, Fixed Schedule: Day 2 - 3.\n* City: Amsterdam, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 2 - 3).\n |- The departure day of Warsaw is Day 2. The arrival day of London is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: London.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 4 - 5).\n   |- The departure day of London is Day 3. The arrival day of Amsterdam is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Warsaw, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Riga, Brussels] and explore these options in order.\n     |- Try arranging to visit Nice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from London to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 4 - 5).\n     |- The departure day of Nice is Day 4. The arrival day of Amsterdam is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Warsaw, London, Nice].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Amsterdam.\n       |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Nice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Warsaw, London, Nice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Brussels] and explore these options in order.\n         |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from Amsterdam to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Warsaw, London, Nice, Amsterdam, Riga].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Riga to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Warsaw, London, Nice, Amsterdam, Riga, Brussels].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Nice.\n**Day 3-4:** Visit Nice for 2 days.\n**Day 4:** Fly from Nice to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Riga.\n**Day 5-9:** Visit Riga for 5 days.\n**Day 9:** Fly from Riga to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Krakow**Copenhagen**Dubrovnik**Athens**Bucharest",
    "ground_truth_durations": "4**5**3**2**5**2",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 1 and day 4. You would like to visit Bucharest for 2 days. During day 15 and day 16, you have to attend a conference in Bucharest. You would like to visit Krakow for 5 days. You would like to visit Athens for 5 days. You would like to visit Dubrovnik for 2 days. You would like to visit Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 8 and day 10.\n\nHere are the cities that have direct flights:\nCopenhagen and Bucharest, Zurich and Bucharest, Zurich and Athens, Krakow and Copenhagen, Zurich and Krakow, Zurich and Copenhagen, Dubrovnik and Athens, Athens and Bucharest, Copenhagen and Dubrovnik, Zurich and Dubrovnik, Copenhagen and Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You are going to attend a wedding in Zurich between day 1 and day 4. You would like to visit Bucharest for 2 days. During day 15 and day 16, you have to attend a conference in Bucharest. You would like to visit Krakow for 5 days. You would like to visit Athens for 5 days. You would like to visit Dubrovnik for 2 days. You would like to visit Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 8 and day 10.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Bucharest, from Zurich to Bucharest, from Zurich to Athens, from Krakow to Copenhagen, from Zurich to Krakow, from Zurich to Copenhagen, from Dubrovnik to Athens, from Athens to Bucharest, from Copenhagen to Dubrovnik, from Zurich to Dubrovnik, from Copenhagen to Athens.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_756",
    "estimated_output_tokens": 1817,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Krakow, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 8 - 10).\n |- The departure day of Zurich is Day 4. The arrival day of Copenhagen is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 10).\n   |- The departure day of Krakow is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Krakow to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 15 - 16).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Bucharest is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Zurich, Krakow, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Athens from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Copenhagen to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 15 - 16).\n       |- The departure day of Athens is Day 14. The arrival day of Bucharest is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Zurich, Krakow, Copenhagen, Athens].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Copenhagen to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 15 - 16).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Bucharest is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Krakow, Copenhagen, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 15 - 16).\n         |- The departure day of Athens is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Zurich, Krakow, Copenhagen, Dubrovnik, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Athens to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Zurich, Krakow, Copenhagen, Dubrovnik, Athens, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Edinburgh**Barcelona**Bucharest**Athens**Mykonos",
    "ground_truth_durations": "5**2**5**4**3**3",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Athens"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Brussels",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Barcelona. You plan to stay in Mykonos for 3 days. You want to spend 3 days in Athens. You want to spend 4 days in Bucharest. You want to spend 2 days in Edinburgh. You want to meet a friend in Edinburgh between day 5 and day 6. You want to spend 5 days in Brussels. From day 1 to day 5, there is a annual show you want to attend in Brussels.\n\nHere are the cities that have direct flights:\nBrussels and Athens, Edinburgh and Barcelona, Bucharest and Athens, Brussels and Bucharest, Edinburgh and Athens, Brussels and Edinburgh, Barcelona and Athens, Barcelona and Bucharest, Athens and Mykonos, Brussels and Barcelona.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Barcelona. You plan to stay in Mykonos for 3 days. You want to spend 3 days in Athens. You want to spend 4 days in Bucharest. You want to spend 2 days in Edinburgh. You want to meet a friend in Edinburgh between day 5 and day 6. You want to spend 5 days in Brussels. From day 1 to day 5, there is a annual show you want to attend in Brussels.\n\nHere are the cities that have direct flights:\nfrom Brussels to Athens, from Edinburgh to Barcelona, from Bucharest to Athens, from Brussels to Bucharest, from Edinburgh to Athens, from Brussels to Edinburgh, from Barcelona to Athens, from Barcelona to Bucharest, from Athens to Mykonos, from Brussels to Barcelona.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Mykonos.\n**Day 15-17:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_757",
    "estimated_output_tokens": 1932,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 5.\n* City: Edinburgh, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 6).\n |- The departure day of Brussels is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Brussels to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Mykonos, Athens, Bucharest] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Edinburgh to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Edinburgh, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Bucharest] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Barcelona to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Barcelona to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Brussels, Edinburgh, Barcelona, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Bucharest] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Athens to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Edinburgh, Barcelona, Athens, Mykonos].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Mykonos to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Athens to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Barcelona to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Edinburgh, Barcelona, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Bucharest to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Bucharest to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Brussels, Edinburgh, Barcelona, Bucharest, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Athens to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Edinburgh, Barcelona, Bucharest, Athens, Mykonos].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Mykonos.\n**Day 15-17:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Athens**Warsaw**Stuttgart**Vienna**Santorini",
    "ground_truth_durations": "4**5**3**3**2**4",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You would like to visit Athens for 5 days. From day 4 to day 8, there is a annual show you want to attend in Athens. You want to spend 4 days in Naples. You want to meet a friend in Naples between day 1 and day 4. You would like to visit Stuttgart for 3 days. You have to attend a workshop in Stuttgart between day 10 and day 12. You plan to stay in Warsaw for 3 days. You want to spend 2 days in Vienna.\n\nHere are the cities that have direct flights:\nWarsaw and Stuttgart, Athens and Stuttgart, Stuttgart and Vienna, Warsaw and Vienna, Vienna and Santorini, Naples and Vienna, Athens and Santorini, Naples and Warsaw, Athens and Warsaw, Naples and Santorini, Naples and Athens, Athens and Vienna, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You would like to visit Athens for 5 days. From day 4 to day 8, there is a annual show you want to attend in Athens. You want to spend 4 days in Naples. You want to meet a friend in Naples between day 1 and day 4. You would like to visit Stuttgart for 3 days. You have to attend a workshop in Stuttgart between day 10 and day 12. You plan to stay in Warsaw for 3 days. You want to spend 2 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Stuttgart, from Athens to Stuttgart, from Stuttgart to Vienna, from Warsaw to Vienna, from Vienna to Santorini, from Naples to Vienna, from Athens to Santorini, from Naples to Warsaw, from Athens to Warsaw, from Naples to Santorini, from Naples to Athens, from Athens to Vienna, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Warsaw.\n**Day 8-10:** Visit Warsaw for 3 days.\n**Day 10:** Fly from Warsaw to Stuttgart.\n**Day 10-12:** Visit Stuttgart for 3 days.\n**Day 12:** Fly from Stuttgart to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_758",
    "estimated_output_tokens": 1608,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Warsaw, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 4.\n* City: Athens, Fixed Schedule: Day 4 - 8.\n* City: Stuttgart, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Warsaw, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Naples is Day 4. The arrival day of Athens is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Naples to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 12).\n   |- The departure day of Athens is Day 8. The arrival day of Stuttgart is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Vienna] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 10 - 12).\n     |- The departure day of Santorini is Day 11. The arrival day of Stuttgart is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Athens to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 10 - 12).\n     |- The departure day of Warsaw is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Athens, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Warsaw to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Athens, Warsaw, Stuttgart].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stuttgart to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Stuttgart to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Naples, Athens, Warsaw, Stuttgart, Vienna].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Vienna to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, Athens, Warsaw, Stuttgart, Vienna, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Warsaw.\n**Day 8-10:** Visit Warsaw for 3 days.\n**Day 10:** Fly from Warsaw to Stuttgart.\n**Day 10-12:** Visit Stuttgart for 3 days.\n**Day 12:** Fly from Stuttgart to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Helsinki**Split**Prague**Valencia**Lyon",
    "ground_truth_durations": "3**2**3**5**3**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 12,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Lisbon",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 4 and day 6. You would like to visit Helsinki for 2 days. You want to spend 5 days in Prague. You are going to attend a wedding in Prague between day 6 and day 10. You want to spend 3 days in Valencia. You want to spend 4 days in Lyon. From day 12 to day 15, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nLisbon and Helsinki, Prague and Lyon, Split and Prague, Valencia and Lyon, Lisbon and Prague, Split and Lyon, Lisbon and Lyon, Helsinki and Prague, Prague and Valencia, Helsinki and Split, Lisbon and Valencia.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 4 and day 6. You would like to visit Helsinki for 2 days. You want to spend 5 days in Prague. You are going to attend a wedding in Prague between day 6 and day 10. You want to spend 3 days in Valencia. You want to spend 4 days in Lyon. From day 12 to day 15, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Helsinki, from Prague to Lyon, from Split to Prague, from Valencia to Lyon, from Lisbon to Prague, from Split to Lyon, from Lisbon to Lyon, from Helsinki to Prague, from Prague to Valencia, from Helsinki to Split, from Lisbon to Valencia.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_759",
    "estimated_output_tokens": 1496,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Helsinki, Duration: 2 days.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Valencia, Duration: 3 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 6.\n* City: Prague, Fixed Schedule: Day 6 - 10.\n* City: Lyon, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Helsinki, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Helsinki, Valencia] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 6).\n |- The departure day of Lisbon is Day 3. The arrival day of Split is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 4 - 6).\n   |- The departure day of Helsinki is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n     |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Helsinki to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 10).\n     |- The departure day of Split is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lisbon, Helsinki, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 12 - 15).\n       |- The departure day of Prague is Day 10. The arrival day of Lyon is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Helsinki, Split, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Prague to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 12 - 15).\n         |- The departure day of Valencia is Day 12. The arrival day of Lyon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lisbon, Helsinki, Split, Prague, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Valencia to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lisbon, Helsinki, Split, Prague, Valencia, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Milan**Split**Copenhagen**Tallinn**Berlin",
    "ground_truth_durations": "3**3**5**3**2**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Milan",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Hamburg",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 12 and day 15. You plan to stay in Tallinn for 2 days. You would like to visit Hamburg for 3 days. From day 1 to day 3, there is a annual show you want to attend in Hamburg. You plan to stay in Copenhagen for 3 days. You want to spend 5 days in Split. You plan to stay in Milan for 3 days. You are going to attend a wedding in Milan between day 3 and day 5.\n\nHere are the cities that have direct flights:\nSplit and Copenhagen, Copenhagen and Tallinn, Milan and Berlin, Copenhagen and Berlin, Split and Berlin, Milan and Split, Milan and Copenhagen, Tallinn and Berlin, Hamburg and Copenhagen, Hamburg and Split, Hamburg and Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 12 and day 15. You plan to stay in Tallinn for 2 days. You would like to visit Hamburg for 3 days. From day 1 to day 3, there is a annual show you want to attend in Hamburg. You plan to stay in Copenhagen for 3 days. You want to spend 5 days in Split. You plan to stay in Milan for 3 days. You are going to attend a wedding in Milan between day 3 and day 5.\n\nHere are the cities that have direct flights:\nfrom Split to Copenhagen, from Copenhagen to Tallinn, from Milan to Berlin, from Copenhagen to Berlin, from Split to Berlin, from Milan to Split, from Milan to Copenhagen, from Tallinn to Berlin, from Hamburg to Copenhagen, from Hamburg to Split, from Hamburg to Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.",
    "id": "trip_planning_example_760",
    "estimated_output_tokens": 2116,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Tallinn, Duration: 2 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Copenhagen, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 3 - 5.\n* City: Berlin, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Split, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Hamburg is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 12 - 15).\n   |- The departure day of Milan is Day 5. The arrival day of Berlin is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Split] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 12 - 15).\n     |- The departure day of Copenhagen is Day 7. The arrival day of Berlin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Milan, Copenhagen].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Split] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 12 - 15).\n       |- The departure day of Tallinn is Day 8. The arrival day of Berlin is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Hamburg, Milan, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Tallinn to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Copenhagen to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 12 - 15).\n     |- The departure day of Split is Day 9. The arrival day of Berlin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Milan, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Split to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 12 - 15).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Berlin is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Milan, Split, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Copenhagen to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 12 - 15).\n         |- The departure day of Tallinn is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Milan, Split, Copenhagen, Tallinn].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Tallinn to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Milan, Split, Copenhagen, Tallinn, Berlin].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**London**Prague**Tallinn**Dublin**Munich",
    "ground_truth_durations": "4**4**4**5**3**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Dublin"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Split",
        "London"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Dublin",
        "Munich"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "London",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 5 days. You plan to stay in Split for 4 days. You plan to stay in Dublin for 3 days. You have to attend a workshop in Dublin between day 14 and day 16. You would like to visit Prague for 4 days. You would like to visit Munich for 3 days. During day 16 and day 18, you have to attend a conference in Munich. You plan to stay in London for 4 days. From day 4 to day 7, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nSplit and Dublin, Tallinn and Munich, Split and Prague, Split and London, Tallinn and Dublin, London and Munich, Prague and Dublin, London and Prague, Prague and Munich, Prague and Tallinn, Dublin and Munich, Split and Munich, London and Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 5 days. You plan to stay in Split for 4 days. You plan to stay in Dublin for 3 days. You have to attend a workshop in Dublin between day 14 and day 16. You would like to visit Prague for 4 days. You would like to visit Munich for 3 days. During day 16 and day 18, you have to attend a conference in Munich. You plan to stay in London for 4 days. From day 4 to day 7, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nfrom Split to Dublin, from Tallinn to Munich, from Split to Prague, from Split to London, from Tallinn to Dublin, from London to Munich, from Prague to Dublin, from London to Prague, from Prague to Munich, from Prague to Tallinn, from Dublin to Munich, from Split to Munich, from London to Dublin.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Munich.\n**Day 16-18:** Visit Munich for 3 days.",
    "id": "trip_planning_example_761",
    "estimated_output_tokens": 1658,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: Split, Duration: 4 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Prague, Duration: 4 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: London, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 7.\n* City: Dublin, Fixed Schedule: Day 14 - 16.\n* City: Munich, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Split, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Split, Prague] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 7).\n |- The departure day of Tallinn is Day 5. The arrival day of London is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 7).\n |- The departure day of Split is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Split to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 14 - 16).\n   |- The departure day of London is Day 7. The arrival day of Dublin is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from London to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 14 - 16).\n     |- The departure day of Prague is Day 10. The arrival day of Dublin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, London, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 14 - 16).\n       |- The departure day of Tallinn is Day 14. The arrival day of Dublin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, London, Prague, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Tallinn to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Munich (Day 16 - 18).\n         |- The departure day of Dublin is Day 16. The arrival day of Munich is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Split, London, Prague, Tallinn, Dublin].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Dublin to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Split, London, Prague, Tallinn, Dublin, Munich].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Munich.\n**Day 16-18:** Visit Munich for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Madrid**Berlin**Dublin**Oslo**Vilnius",
    "ground_truth_durations": "2**2**5**3**3**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "London",
        "Madrid"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Berlin",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 7 and day 9 to tour together. You would like to visit Madrid for 2 days. You plan to visit relatives in Madrid between day 2 and day 3. You plan to stay in Oslo for 3 days. You would like to visit London for 2 days. You want to spend 3 days in Vilnius. You plan to stay in Berlin for 5 days. You are going to attend a wedding in Berlin between day 3 and day 7.\n\nHere are the cities that have direct flights:\nLondon and Madrid, Oslo and Vilnius, Berlin and Vilnius, Madrid and Oslo, Madrid and Dublin, London and Oslo, Madrid and Berlin, Berlin and Oslo, Dublin and Oslo, London and Dublin, London and Berlin, Berlin and Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 7 and day 9 to tour together. You would like to visit Madrid for 2 days. You plan to visit relatives in Madrid between day 2 and day 3. You plan to stay in Oslo for 3 days. You would like to visit London for 2 days. You want to spend 3 days in Vilnius. You plan to stay in Berlin for 5 days. You are going to attend a wedding in Berlin between day 3 and day 7.\n\nHere are the cities that have direct flights:\nfrom London to Madrid, from Oslo to Vilnius, from Berlin to Vilnius, from Madrid to Oslo, from Madrid to Dublin, from London to Oslo, from Madrid to Berlin, from Berlin to Oslo, from Dublin to Oslo, from London to Dublin, from London to Berlin, from Berlin to Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Berlin.\n**Day 3-7:** Visit Berlin for 5 days.\n**Day 7:** Fly from Berlin to Dublin.\n**Day 7-9:** Visit Dublin for 3 days.\n**Day 9:** Fly from Dublin to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_762",
    "estimated_output_tokens": 1540,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Oslo, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Vilnius, Duration: 3 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 2 - 3.\n* City: Berlin, Fixed Schedule: Day 3 - 7.\n* City: Dublin, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, London, Vilnius] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 3).\n |- The departure day of Oslo is Day 3. The arrival day of Madrid is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 3).\n |- The departure day of London is Day 2. The arrival day of Madrid is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 3 - 7).\n   |- The departure day of Madrid is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [London, Madrid].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Madrid to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dublin (Day 7 - 9).\n     |- The departure day of Berlin is Day 7. The arrival day of Dublin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [London, Madrid, Berlin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Berlin to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [London, Madrid, Berlin, Dublin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Vilnius] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Dublin to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [London, Madrid, Berlin, Dublin, Oslo].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Oslo to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [London, Madrid, Berlin, Dublin, Oslo, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Berlin.\n**Day 3-7:** Visit Berlin for 5 days.\n**Day 7:** Fly from Berlin to Dublin.\n**Day 7-9:** Visit Dublin for 3 days.\n**Day 9:** Fly from Dublin to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Nice**London**Krakow**Manchester**Split",
    "ground_truth_durations": "2**2**3**5**5**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "London",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 2 and day 3. You would like to visit Krakow for 5 days. You would like to visit Split for 2 days. You want to spend 3 days in London. From day 3 to day 5, there is a annual show you want to attend in London. You want to spend 2 days in Frankfurt. You would like to visit Manchester for 5 days. You plan to visit relatives in Manchester between day 9 and day 13.\n\nHere are the cities that have direct flights:\nLondon and Manchester, Frankfurt and Manchester, Frankfurt and Krakow, Frankfurt and Split, Nice and Manchester, Frankfurt and London, London and Krakow, London and Split, Krakow and Split, Nice and London, Frankfurt and Nice, Krakow and Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 2 and day 3. You would like to visit Krakow for 5 days. You would like to visit Split for 2 days. You want to spend 3 days in London. From day 3 to day 5, there is a annual show you want to attend in London. You want to spend 2 days in Frankfurt. You would like to visit Manchester for 5 days. You plan to visit relatives in Manchester between day 9 and day 13.\n\nHere are the cities that have direct flights:\nfrom London to Manchester, from Frankfurt to Manchester, from Frankfurt to Krakow, from Frankfurt to Split, from Nice to Manchester, from Frankfurt to London, from London to Krakow, from London to Split, from Krakow to Split, from Nice to London, from Frankfurt to Nice, from Krakow to Manchester, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Split.\n**Day 13-14:** Visit Split for 2 days.",
    "id": "trip_planning_example_763",
    "estimated_output_tokens": 1820,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Krakow, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Frankfurt, Duration: 2 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 2 - 3.\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Manchester, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Split, Frankfurt] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 3).\n |- The departure day of Krakow is Day 5. The arrival day of Nice is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 3).\n |- The departure day of Split is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 3).\n |- The departure day of Frankfurt is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Frankfurt to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 3 - 5).\n   |- The departure day of Nice is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Frankfurt, Nice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n     |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Nice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 9 - 13).\n     |- The departure day of London is Day 5. The arrival day of Manchester is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Frankfurt, Nice, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Split] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from London to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 9 - 13).\n       |- The departure day of Krakow is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Nice, London, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Krakow to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Nice, London, Krakow, Manchester].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Manchester to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Frankfurt, Nice, London, Krakow, Manchester, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Split.\n**Day 13-14:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Salzburg**Hamburg**Warsaw**Vilnius",
    "ground_truth_durations": "4**5**3**4**5**2",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 2 days. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 1 and day 4. You want to spend 3 days in Salzburg. You want to spend 4 days in Hamburg. From day 10 to day 13, there is a annual show you want to attend in Hamburg. You plan to stay in Istanbul for 5 days. You want to spend 5 days in Warsaw. During day 13 and day 17, you have to attend a conference in Warsaw.\n\nHere are the cities that have direct flights:\nIstanbul and Warsaw, Hamburg and Warsaw, Istanbul and Hamburg, from Dubrovnik to Istanbul, Warsaw and Vilnius, Istanbul and Vilnius, Salzburg and Hamburg, Istanbul and Salzburg.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 2 days. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 1 and day 4. You want to spend 3 days in Salzburg. You want to spend 4 days in Hamburg. From day 10 to day 13, there is a annual show you want to attend in Hamburg. You plan to stay in Istanbul for 5 days. You want to spend 5 days in Warsaw. During day 13 and day 17, you have to attend a conference in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Warsaw, from Hamburg to Warsaw, from Istanbul to Hamburg, from Dubrovnik to Istanbul, from Warsaw to Vilnius, from Istanbul to Vilnius, from Salzburg to Hamburg, from Istanbul to Salzburg.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-8:** Visit Istanbul for 5 days.\n**Day 8:** Fly from Istanbul to Salzburg.\n**Day 8-10:** Visit Salzburg for 3 days.\n**Day 10:** Fly from Salzburg to Hamburg.\n**Day 10-13:** Visit Hamburg for 4 days.\n**Day 13:** Fly from Hamburg to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.\n**Day 17:** Fly from Warsaw to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_764",
    "estimated_output_tokens": 1883,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Salzburg, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Istanbul, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Fixed Schedule: Day 10 - 13.\n* City: Warsaw, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 10 - 13).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Hamburg is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 10 - 13).\n   |- The departure day of Istanbul is Day 8. The arrival day of Hamburg is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 10 - 13).\n     |- The departure day of Vilnius is Day 9. The arrival day of Hamburg is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Istanbul, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Vilnius to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Istanbul to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 10 - 13).\n     |- The departure day of Salzburg is Day 10. The arrival day of Hamburg is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Istanbul, Salzburg].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Salzburg to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 13 - 17).\n       |- The departure day of Hamburg is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dubrovnik, Istanbul, Salzburg, Hamburg].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Hamburg to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Dubrovnik, Istanbul, Salzburg, Hamburg, Warsaw].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Warsaw to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dubrovnik, Istanbul, Salzburg, Hamburg, Warsaw, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-8:** Visit Istanbul for 5 days.\n**Day 8:** Fly from Istanbul to Salzburg.\n**Day 8-10:** Visit Salzburg for 3 days.\n**Day 10:** Fly from Salzburg to Hamburg.\n**Day 10-13:** Visit Hamburg for 4 days.\n**Day 13:** Fly from Hamburg to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.\n**Day 17:** Fly from Warsaw to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Athens**Dubrovnik**Helsinki**Hamburg**Split",
    "ground_truth_durations": "3**3**4**4**4**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Athens"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You have to attend a workshop in Helsinki between day 8 and day 11. You plan to stay in Split for 3 days. You would like to visit Dubrovnik for 4 days. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 14. You want to spend 3 days in Athens. You plan to stay in Valencia for 3 days. You plan to visit relatives in Valencia between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, Dubrovnik and Helsinki, Helsinki and Hamburg, Athens and Hamburg, Athens and Dubrovnik, Athens and Split, Hamburg and Split, Helsinki and Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You have to attend a workshop in Helsinki between day 8 and day 11. You plan to stay in Split for 3 days. You would like to visit Dubrovnik for 4 days. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 14. You want to spend 3 days in Athens. You plan to stay in Valencia for 3 days. You plan to visit relatives in Valencia between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, from Dubrovnik to Helsinki, from Helsinki to Hamburg, from Athens to Hamburg, from Athens to Dubrovnik, from Athens to Split, from Hamburg to Split, from Helsinki to Split.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.",
    "id": "trip_planning_example_765",
    "estimated_output_tokens": 1835,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Split, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Athens, Duration: 3 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Fixed Schedule: Day 8 - 11.\n* City: Hamburg, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 8 - 11).\n |- The departure day of Valencia is Day 3. The arrival day of Helsinki is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Athens] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 8 - 11).\n   |- The departure day of Athens is Day 5. The arrival day of Helsinki is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 8 - 11).\n     |- The departure day of Split is Day 7. The arrival day of Helsinki is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Athens, Split].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Split to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 8 - 11).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Helsinki is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Athens, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 11 - 14).\n       |- The departure day of Helsinki is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Athens, Dubrovnik, Helsinki].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Helsinki to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Athens, Dubrovnik, Helsinki, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Hamburg to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Athens, Dubrovnik, Helsinki, Hamburg, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**London**Vienna**Nice**Berlin**Salzburg",
    "ground_truth_durations": "5**2**3**5**3**2",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "London"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "London",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 3 days. You would like to meet your friends at Berlin between day 12 and day 14 to tour together. You want to spend 5 days in Nice. You would like to visit Vienna for 3 days. During day 6 and day 8, you have to attend a conference in Vienna. You would like to visit London for 2 days. From day 5 to day 6, there is a annual show you want to attend in London. You want to spend 5 days in Hamburg. You would like to visit Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nHamburg and London, Hamburg and Nice, London and Nice, Vienna and Nice, Nice and Berlin, Vienna and Berlin, London and Vienna, Hamburg and Vienna, Berlin and Salzburg, Hamburg and Salzburg, London and Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 3 days. You would like to meet your friends at Berlin between day 12 and day 14 to tour together. You want to spend 5 days in Nice. You would like to visit Vienna for 3 days. During day 6 and day 8, you have to attend a conference in Vienna. You would like to visit London for 2 days. From day 5 to day 6, there is a annual show you want to attend in London. You want to spend 5 days in Hamburg. You would like to visit Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to London, from Hamburg to Nice, from London to Nice, from Vienna to Nice, from Nice to Berlin, from Vienna to Berlin, from London to Vienna, from Hamburg to Vienna, from Berlin to Salzburg, from Hamburg to Salzburg, from London to Berlin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Vienna.\n**Day 6-8:** Visit Vienna for 3 days.\n**Day 8:** Fly from Vienna to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Berlin.\n**Day 12-14:** Visit Berlin for 3 days.\n**Day 14:** Fly from Berlin to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_766",
    "estimated_output_tokens": 1702,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Nice, Duration: 5 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: London, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Hamburg, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Fixed Schedule: Day 6 - 8.\n* City: Berlin, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Hamburg, Salzburg] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 6).\n |- The departure day of Nice is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 6).\n |- The departure day of Hamburg is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 6 - 8).\n   |- The departure day of London is Day 6. The arrival day of Vienna is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from London to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 12 - 14).\n     |- The departure day of Vienna is Day 8. The arrival day of Berlin is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, London, Vienna].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Salzburg] and explore these options in order.\n       |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vienna to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 12 - 14).\n       |- The departure day of Nice is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, London, Vienna, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Nice to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, London, Vienna, Nice, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, London, Vienna, Nice, Berlin, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Vienna.\n**Day 6-8:** Visit Vienna for 3 days.\n**Day 8:** Fly from Vienna to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Berlin.\n**Day 12-14:** Visit Berlin for 3 days.\n**Day 14:** Fly from Berlin to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Brussels**Venice**Berlin**Valencia**Prague",
    "ground_truth_durations": "5**4**4**5**5**3",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Venice"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Seville",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 19 and day 21. You plan to stay in Venice for 4 days. You want to meet a friend in Venice between day 8 and day 11. You would like to visit Brussels for 4 days. You plan to stay in Berlin for 5 days. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nBrussels and Venice, Valencia and Prague, Berlin and Valencia, Venice and Berlin, Seville and Brussels, Brussels and Valencia, Brussels and Prague, Brussels and Berlin, Seville and Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 19 and day 21. You plan to stay in Venice for 4 days. You want to meet a friend in Venice between day 8 and day 11. You would like to visit Brussels for 4 days. You plan to stay in Berlin for 5 days. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Venice, from Valencia to Prague, from Berlin to Valencia, from Venice to Berlin, from Seville to Brussels, from Brussels to Valencia, from Brussels to Prague, from Brussels to Berlin, from Seville to Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Prague.\n**Day 19-21:** Visit Prague for 3 days.",
    "id": "trip_planning_example_767",
    "estimated_output_tokens": 1492,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Brussels, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 11.\n* City: Prague, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Brussels, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Brussels, Berlin, Valencia] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 11).\n |- The departure day of Seville is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Berlin, Valencia] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 11).\n   |- The departure day of Brussels is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Seville, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Brussels to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 19 - 21).\n     |- The departure day of Venice is Day 11. The arrival day of Prague is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Brussels, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Venice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Prague (Day 19 - 21).\n       |- The departure day of Berlin is Day 15. The arrival day of Prague is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Brussels, Venice, Berlin].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Berlin to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Prague (Day 19 - 21).\n         |- The departure day of Valencia is Day 19. The arrival day of Prague is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Seville, Brussels, Venice, Berlin, Valencia].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- Yes. The city with an arrival day of Day 19 - is fixed: Prague.\n           |- Try arranging to visit Prague from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Valencia to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Seville, Brussels, Venice, Berlin, Valencia, Prague].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Prague.\n**Day 19-21:** Visit Prague for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**London**Copenhagen**Tallinn**Oslo**Nice",
    "ground_truth_durations": "4**2**3**4**5**3",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Mykonos",
        "London"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Copenhagen",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You would like to visit Nice for 3 days. During day 14 and day 16, you have to attend a conference in Nice. You would like to visit London for 2 days. You plan to stay in Copenhagen for 3 days. You would like to visit Oslo for 5 days. You want to meet a friend in Oslo between day 10 and day 14. You want to spend 4 days in Tallinn.\n\nHere are the cities that have direct flights:\nLondon and Copenhagen, Copenhagen and Tallinn, Tallinn and Oslo, Mykonos and London, Oslo and Nice, London and Nice, Mykonos and Nice, London and Oslo, Copenhagen and Nice, Copenhagen and Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You would like to visit Nice for 3 days. During day 14 and day 16, you have to attend a conference in Nice. You would like to visit London for 2 days. You plan to stay in Copenhagen for 3 days. You would like to visit Oslo for 5 days. You want to meet a friend in Oslo between day 10 and day 14. You want to spend 4 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom London to Copenhagen, from Copenhagen to Tallinn, from Tallinn to Oslo, from Mykonos to London, from Oslo to Nice, from London to Nice, from Mykonos to Nice, from London to Oslo, from Copenhagen to Nice, from Copenhagen to Oslo.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Tallinn.\n**Day 7-10:** Visit Tallinn for 4 days.\n**Day 10:** Fly from Tallinn to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Nice.\n**Day 14-16:** Visit Nice for 3 days.",
    "id": "trip_planning_example_768",
    "estimated_output_tokens": 1524,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: London, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 10 - 14.\n* City: Nice, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: London, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, London, Copenhagen, Tallinn] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 10 - 14).\n |- The departure day of Mykonos is Day 4. The arrival day of Oslo is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Copenhagen, Tallinn] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 10 - 14).\n   |- The departure day of London is Day 5. The arrival day of Oslo is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from London to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 10 - 14).\n     |- The departure day of Copenhagen is Day 7. The arrival day of Oslo is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Mykonos, London, Copenhagen].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 10 - 14).\n       |- The departure day of Tallinn is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, London, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 14 - 16).\n         |- The departure day of Oslo is Day 14. The arrival day of Nice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, London, Copenhagen, Tallinn, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, London, Copenhagen, Tallinn, Oslo, Nice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Tallinn.\n**Day 7-10:** Visit Tallinn for 4 days.\n**Day 10:** Fly from Tallinn to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Nice.\n**Day 14-16:** Visit Nice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Reykjavik**Munich**Porto**Amsterdam**Santorini",
    "ground_truth_durations": "4**4**4**5**2**2",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Prague",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 5 days. You would like to visit Prague for 4 days. You plan to stay in Reykjavik for 4 days. You are going to attend a wedding in Reykjavik between day 4 and day 7. You want to spend 2 days in Santorini. You would like to visit Amsterdam for 2 days. During day 14 and day 15, you have to attend a conference in Amsterdam. You want to spend 4 days in Munich. You want to meet a friend in Munich between day 7 and day 10.\n\nHere are the cities that have direct flights:\nPorto and Amsterdam, Munich and Amsterdam, Reykjavik and Amsterdam, Munich and Porto, Prague and Reykjavik, Reykjavik and Munich, Amsterdam and Santorini, Prague and Amsterdam, Prague and Munich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 5 days. You would like to visit Prague for 4 days. You plan to stay in Reykjavik for 4 days. You are going to attend a wedding in Reykjavik between day 4 and day 7. You want to spend 2 days in Santorini. You would like to visit Amsterdam for 2 days. During day 14 and day 15, you have to attend a conference in Amsterdam. You want to spend 4 days in Munich. You want to meet a friend in Munich between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Porto to Amsterdam, from Munich to Amsterdam, from Reykjavik to Amsterdam, from Munich to Porto, from Prague to Reykjavik, from Reykjavik to Munich, from Amsterdam to Santorini, from Prague to Amsterdam, from Prague to Munich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Reykjavik.\n**Day 4-7:** Visit Reykjavik for 4 days.\n**Day 7:** Fly from Reykjavik to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Porto.\n**Day 10-14:** Visit Porto for 5 days.\n**Day 14:** Fly from Porto to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_769",
    "estimated_output_tokens": 1638,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Prague, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Santorini, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 4 - 7.\n* City: Munich, Fixed Schedule: Day 7 - 10.\n* City: Amsterdam, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Prague, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Prague, Santorini] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 7).\n |- The departure day of Porto is Day 5. The arrival day of Reykjavik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 7).\n |- The departure day of Prague is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 7 - 10).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Munich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Reykjavik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Reykjavik to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 14 - 15).\n     |- The departure day of Munich is Day 10. The arrival day of Amsterdam is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Prague, Reykjavik, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Santorini] and explore these options in order.\n       |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 14 - 15).\n       |- The departure day of Porto is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Prague, Reykjavik, Munich, Porto].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Porto to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Prague, Reykjavik, Munich, Porto, Amsterdam].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Amsterdam to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Prague, Reykjavik, Munich, Porto, Amsterdam, Santorini].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Reykjavik.\n**Day 4-7:** Visit Reykjavik for 4 days.\n**Day 7:** Fly from Reykjavik to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Porto.\n**Day 10-14:** Visit Porto for 5 days.\n**Day 14:** Fly from Porto to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Prague**Reykjavik**Nice**Frankfurt",
    "ground_truth_durations": "4**4**4**4**5**5",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 17,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Prague",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 5 days in Nice. You want to spend 4 days in Milan. You want to spend 4 days in Porto. During day 1 and day 4, you have to attend a conference in Porto. You want to spend 4 days in Prague. You plan to visit relatives in Prague between day 7 and day 10. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 17 and day 21.\n\nHere are the cities that have direct flights:\nPrague and Reykjavik, Porto and Nice, Porto and Frankfurt, Porto and Milan, Milan and Frankfurt, Reykjavik and Nice, Reykjavik and Frankfurt, Milan and Prague, Nice and Frankfurt, Milan and Reykjavik, Prague and Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 5 days in Nice. You want to spend 4 days in Milan. You want to spend 4 days in Porto. During day 1 and day 4, you have to attend a conference in Porto. You want to spend 4 days in Prague. You plan to visit relatives in Prague between day 7 and day 10. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 17 and day 21.\n\nHere are the cities that have direct flights:\nfrom Prague to Reykjavik, from Porto to Nice, from Porto to Frankfurt, from Porto to Milan, from Milan to Frankfurt, from Reykjavik to Nice, from Reykjavik to Frankfurt, from Milan to Prague, from Nice to Frankfurt, from Milan to Reykjavik, from Prague to Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.",
    "id": "trip_planning_example_770",
    "estimated_output_tokens": 1692,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 7 - 10.\n* City: Frankfurt, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 7 - 10).\n |- The departure day of Porto is Day 4. The arrival day of Prague is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Milan] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Porto to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 7 - 10).\n   |- The departure day of Nice is Day 8. The arrival day of Prague is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 7 - 10).\n   |- The departure day of Milan is Day 7. The arrival day of Prague is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 17 - 21).\n     |- The departure day of Prague is Day 10. The arrival day of Frankfurt is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 17 - 21).\n       |- The departure day of Reykjavik is Day 13. The arrival day of Frankfurt is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Milan, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Reykjavik to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 17 - 21).\n         |- The departure day of Nice is Day 17. The arrival day of Frankfurt is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Porto, Milan, Prague, Reykjavik, Nice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Nice to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Porto, Milan, Prague, Reykjavik, Nice, Frankfurt].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Athens**Oslo**Warsaw**Bucharest",
    "ground_truth_durations": "3**3**4**5**3**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 12,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Athens",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Bucharest. You want to spend 4 days in Athens. You would like to meet your friends at Athens between day 5 and day 8 to tour together. You plan to stay in Oslo for 5 days. You plan to visit relatives in Oslo between day 8 and day 12. You want to spend 3 days in Florence. You would like to visit Munich for 3 days. You would like to visit Warsaw for 3 days. You are going to attend a wedding in Warsaw between day 12 and day 14.\n\nHere are the cities that have direct flights:\nAthens and Warsaw, Warsaw and Bucharest, from Florence to Munich, Munich and Bucharest, Munich and Athens, Munich and Warsaw, Munich and Oslo, Oslo and Warsaw, Oslo and Bucharest, Athens and Oslo, Athens and Bucharest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Bucharest. You want to spend 4 days in Athens. You would like to meet your friends at Athens between day 5 and day 8 to tour together. You plan to stay in Oslo for 5 days. You plan to visit relatives in Oslo between day 8 and day 12. You want to spend 3 days in Florence. You would like to visit Munich for 3 days. You would like to visit Warsaw for 3 days. You are going to attend a wedding in Warsaw between day 12 and day 14.\n\nHere are the cities that have direct flights:\nfrom Athens to Warsaw, from Warsaw to Bucharest, from Florence to Munich, from Munich to Bucharest, from Munich to Athens, from Munich to Warsaw, from Munich to Oslo, from Oslo to Warsaw, from Oslo to Bucharest, from Athens to Oslo, from Athens to Bucharest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.\n**Day 14:** Fly from Warsaw to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_771",
    "estimated_output_tokens": 1811,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 4 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Florence, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 5 - 8.\n* City: Oslo, Fixed Schedule: Day 8 - 12.\n* City: Warsaw, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Florence, Munich] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Bucharest is Day 4. The arrival day of Athens is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Munich] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Munich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Florence is Day 3. The arrival day of Athens is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 5 - 8).\n   |- The departure day of Munich is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 8 - 12).\n     |- The departure day of Athens is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Munich, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 12 - 14).\n       |- The departure day of Oslo is Day 12. The arrival day of Warsaw is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Munich, Athens, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Oslo to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Munich, Athens, Oslo, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Warsaw to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Florence, Munich, Athens, Oslo, Warsaw, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Warsaw.\n**Day 12-14:** Visit Warsaw for 3 days.\n**Day 14:** Fly from Warsaw to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Venice**Lyon**Madrid**Nice",
    "ground_truth_durations": "2**5**3**5**5**2",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Madrid"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Venice",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You would like to meet your friends at Lyon between day 8 and day 12 to tour together. You would like to visit Nice for 2 days. You are going to attend a wedding in Nice between day 16 and day 17. You want to spend 3 days in Venice. You plan to stay in Madrid for 5 days. During day 12 and day 16, you have to attend a conference in Madrid. You plan to stay in Reykjavik for 2 days. You would like to visit Rome for 5 days.\n\nHere are the cities that have direct flights:\nVenice and Madrid, Lyon and Nice, Rome and Nice, Reykjavik and Rome, Reykjavik and Nice, Venice and Nice, Rome and Lyon, Madrid and Nice, Lyon and Madrid, Rome and Venice, from Reykjavik to Madrid, Rome and Madrid, Venice and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You would like to meet your friends at Lyon between day 8 and day 12 to tour together. You would like to visit Nice for 2 days. You are going to attend a wedding in Nice between day 16 and day 17. You want to spend 3 days in Venice. You plan to stay in Madrid for 5 days. During day 12 and day 16, you have to attend a conference in Madrid. You plan to stay in Reykjavik for 2 days. You would like to visit Rome for 5 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Madrid, from Lyon to Nice, from Rome to Nice, from Reykjavik to Rome, from Reykjavik to Nice, from Venice to Nice, from Rome to Lyon, from Madrid to Nice, from Lyon to Madrid, from Rome to Venice, from Reykjavik to Madrid, from Rome to Madrid, from Venice to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Lyon.\n**Day 8-12:** Visit Lyon for 5 days.\n**Day 12:** Fly from Lyon to Madrid.\n**Day 12-16:** Visit Madrid for 5 days.\n**Day 16:** Fly from Madrid to Nice.\n**Day 16-17:** Visit Nice for 2 days.",
    "id": "trip_planning_example_772",
    "estimated_output_tokens": 1882,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Venice, Duration: 3 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 8 - 12.\n* City: Madrid, Fixed Schedule: Day 12 - 16.\n* City: Nice, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Rome] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 12).\n |- The departure day of Venice is Day 3. The arrival day of Lyon is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 12).\n |- The departure day of Reykjavik is Day 2. The arrival day of Lyon is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Rome] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 8 - 12).\n   |- The departure day of Rome is Day 6. The arrival day of Lyon is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 8 - 12).\n     |- The departure day of Venice is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Rome, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Madrid (Day 12 - 16).\n       |- The departure day of Lyon is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Rome, Venice, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 16 - 17).\n         |- The departure day of Madrid is Day 16. The arrival day of Nice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Reykjavik, Rome, Venice, Lyon, Madrid].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Madrid to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Rome, Venice, Lyon, Madrid, Nice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Lyon.\n**Day 8-12:** Visit Lyon for 5 days.\n**Day 12:** Fly from Lyon to Madrid.\n**Day 12-16:** Visit Madrid for 5 days.\n**Day 16:** Fly from Madrid to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Paris**Nice**Budapest**Milan**Split",
    "ground_truth_durations": "5**3**3**4**2**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Paris",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You are going to attend a wedding in Paris between day 5 and day 7. You want to spend 3 days in Nice. You want to meet a friend in Nice between day 7 and day 9. You would like to visit Budapest for 4 days. You plan to stay in Split for 2 days. You would like to visit Vilnius for 5 days. You would like to meet your friends at Vilnius between day 1 and day 5 to tour together. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nVilnius and Milan, Paris and Milan, Budapest and Milan, Vilnius and Paris, Vilnius and Split, Paris and Nice, Paris and Budapest, Milan and Split, Nice and Budapest, Paris and Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You are going to attend a wedding in Paris between day 5 and day 7. You want to spend 3 days in Nice. You want to meet a friend in Nice between day 7 and day 9. You would like to visit Budapest for 4 days. You plan to stay in Split for 2 days. You would like to visit Vilnius for 5 days. You would like to meet your friends at Vilnius between day 1 and day 5 to tour together. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Milan, from Paris to Milan, from Budapest to Milan, from Vilnius to Paris, from Vilnius to Split, from Paris to Nice, from Paris to Budapest, from Milan to Split, from Nice to Budapest, from Paris to Split.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Budapest.\n**Day 9-12:** Visit Budapest for 4 days.\n**Day 12:** Fly from Budapest to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Split.\n**Day 13-14:** Visit Split for 2 days.",
    "id": "trip_planning_example_773",
    "estimated_output_tokens": 1458,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Budapest, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Budapest, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 7).\n |- The departure day of Vilnius is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 7 - 9).\n   |- The departure day of Paris is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Paris, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Split, Milan] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vilnius, Paris, Nice, Budapest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Milan] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Budapest to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Budapest to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Paris, Nice, Budapest, Milan].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Milan to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Vilnius, Paris, Nice, Budapest, Milan, Split].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Budapest.\n**Day 9-12:** Visit Budapest for 4 days.\n**Day 12:** Fly from Budapest to Milan.\n**Day 12-13:** Visit Milan for 2 days.\n**Day 13:** Fly from Milan to Split.\n**Day 13-14:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Porto**Madrid**Athens**Rome**Lyon",
    "ground_truth_durations": "5**4**4**5**5**4",
    "num_cities": 6,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Madrid",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 1 and day 5. You would like to visit Madrid for 4 days. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 11 and day 15. You would like to visit Lyon for 4 days. You would like to visit Porto for 4 days. You want to spend 5 days in Rome.\n\nHere are the cities that have direct flights:\nStuttgart and Porto, Stuttgart and Athens, Porto and Madrid, Porto and Lyon, Stuttgart and Rome, Athens and Rome, Rome and Lyon, Madrid and Lyon, Madrid and Athens, Madrid and Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 1 and day 5. You would like to visit Madrid for 4 days. You plan to stay in Athens for 5 days. You plan to visit relatives in Athens between day 11 and day 15. You would like to visit Lyon for 4 days. You would like to visit Porto for 4 days. You want to spend 5 days in Rome.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Porto, from Stuttgart to Athens, from Porto to Madrid, from Porto to Lyon, from Stuttgart to Rome, from Athens to Rome, from Rome to Lyon, from Madrid to Lyon, from Madrid to Athens, from Madrid to Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 22 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Madrid.\n**Day 8-11:** Visit Madrid for 4 days.\n**Day 11:** Fly from Madrid to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Rome.\n**Day 15-19:** Visit Rome for 5 days.\n**Day 19:** Fly from Rome to Lyon.\n**Day 19-22:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_774",
    "estimated_output_tokens": 1550,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Lyon, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 11 - 15).\n |- The departure day of Stuttgart is Day 5. The arrival day of Athens is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon, Porto, Rome] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 11 - 15).\n   |- The departure day of Porto is Day 8. The arrival day of Athens is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Porto].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon, Rome] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Porto to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 11 - 15).\n     |- The departure day of Madrid is Day 11. The arrival day of Athens is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Porto, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Madrid to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Porto, Madrid, Athens].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Rome] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Athens to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Athens to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stuttgart, Porto, Madrid, Athens, Rome].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Rome to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Stuttgart, Porto, Madrid, Athens, Rome, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Madrid.\n**Day 8-11:** Visit Madrid for 4 days.\n**Day 11:** Fly from Madrid to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Rome.\n**Day 15-19:** Visit Rome for 5 days.\n**Day 19:** Fly from Rome to Lyon.\n**Day 19-22:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Rome**Helsinki**Split**Barcelona**Porto",
    "ground_truth_durations": "4**5**3**3**5**3",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Split"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Warsaw",
        "Barcelona"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Helsinki",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 5 days. You plan to stay in Porto for 3 days. You would like to visit Helsinki for 3 days. You plan to stay in Warsaw for 4 days. You would like to meet your friends at Warsaw between day 1 and day 4 to tour together. You want to spend 5 days in Rome. You want to meet a friend in Rome between day 4 and day 8. You would like to visit Split for 3 days. You are going to attend a wedding in Split between day 10 and day 12.\n\nHere are the cities that have direct flights:\nWarsaw and Split, Warsaw and Porto, Helsinki and Split, Split and Barcelona, Warsaw and Rome, Warsaw and Helsinki, Barcelona and Porto, Rome and Helsinki, Rome and Barcelona, Warsaw and Barcelona, Rome and Split, Helsinki and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 5 days. You plan to stay in Porto for 3 days. You would like to visit Helsinki for 3 days. You plan to stay in Warsaw for 4 days. You would like to meet your friends at Warsaw between day 1 and day 4 to tour together. You want to spend 5 days in Rome. You want to meet a friend in Rome between day 4 and day 8. You would like to visit Split for 3 days. You are going to attend a wedding in Split between day 10 and day 12.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Split, from Warsaw to Porto, from Helsinki to Split, from Split to Barcelona, from Warsaw to Rome, from Warsaw to Helsinki, from Barcelona to Porto, from Rome to Helsinki, from Rome to Barcelona, from Warsaw to Barcelona, from Rome to Split, from Helsinki to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Helsinki.\n**Day 8-10:** Visit Helsinki for 3 days.\n**Day 10:** Fly from Helsinki to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Porto.\n**Day 16-18:** Visit Porto for 3 days.",
    "id": "trip_planning_example_775",
    "estimated_output_tokens": 1575,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 4 - 8.\n* City: Split, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 4 - 8).\n |- The departure day of Warsaw is Day 4. The arrival day of Rome is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Warsaw to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 10 - 12).\n   |- The departure day of Rome is Day 8. The arrival day of Split is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto, Helsinki] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Rome to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 10 - 12).\n     |- The departure day of Barcelona is Day 12. The arrival day of Split is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Rome to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 10 - 12).\n     |- The departure day of Helsinki is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Warsaw, Rome, Helsinki].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n       |- Try arranging to visit Split from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Warsaw, Rome, Helsinki, Split].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Split to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Rome, Helsinki, Split, Barcelona].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Barcelona to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Warsaw, Rome, Helsinki, Split, Barcelona, Porto].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Helsinki.\n**Day 8-10:** Visit Helsinki for 3 days.\n**Day 10:** Fly from Helsinki to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Zurich**Reykjavik**Dublin**Santorini**Manchester",
    "ground_truth_durations": "4**5**3**5**4**4",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Zurich",
        "Dublin"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Zurich",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 4 and day 8 to tour together. You would like to visit Santorini for 4 days. From day 14 to day 17, there is a annual show you want to attend in Santorini. You would like to visit Lisbon for 4 days. You would like to visit Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 8 and day 10. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nZurich and Reykjavik, Santorini and Manchester, Lisbon and Manchester, Reykjavik and Dublin, Lisbon and Zurich, Dublin and Santorini, Lisbon and Reykjavik, Lisbon and Dublin, Zurich and Dublin, Zurich and Santorini, Dublin and Manchester, Zurich and Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 4 and day 8 to tour together. You would like to visit Santorini for 4 days. From day 14 to day 17, there is a annual show you want to attend in Santorini. You would like to visit Lisbon for 4 days. You would like to visit Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 8 and day 10. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Reykjavik, from Santorini to Manchester, from Lisbon to Manchester, from Reykjavik to Dublin, from Lisbon to Zurich, from Dublin to Santorini, from Lisbon to Reykjavik, from Lisbon to Dublin, from Zurich to Dublin, from Zurich to Santorini, from Dublin to Manchester, from Zurich to Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Zurich.\n**Day 4-8:** Visit Zurich for 5 days.\n**Day 8:** Fly from Zurich to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n**Day 10:** Fly from Reykjavik to Dublin.\n**Day 10-14:** Visit Dublin for 5 days.\n**Day 14:** Fly from Dublin to Santorini.\n**Day 14-17:** Visit Santorini for 4 days.\n**Day 17:** Fly from Santorini to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_776",
    "estimated_output_tokens": 1645,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Lisbon, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Manchester, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 4 - 8.\n* City: Reykjavik, Fixed Schedule: Day 8 - 10.\n* City: Santorini, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Dublin, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Lisbon, Manchester] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 4 - 8).\n |- The departure day of Dublin is Day 5. The arrival day of Zurich is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 4 - 8).\n |- The departure day of Lisbon is Day 4. The arrival day of Zurich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lisbon to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 8 - 10).\n   |- The departure day of Zurich is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lisbon, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Zurich to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 14 - 17).\n     |- The departure day of Reykjavik is Day 10. The arrival day of Santorini is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Zurich, Reykjavik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Manchester] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Reykjavik to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 14 - 17).\n       |- The departure day of Dublin is Day 14. The arrival day of Santorini is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Zurich, Reykjavik, Dublin].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Dublin to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lisbon, Zurich, Reykjavik, Dublin, Santorini].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Santorini to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Lisbon, Zurich, Reykjavik, Dublin, Santorini, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Zurich.\n**Day 4-8:** Visit Zurich for 5 days.\n**Day 8:** Fly from Zurich to Reykjavik.\n**Day 8-10:** Visit Reykjavik for 3 days.\n**Day 10:** Fly from Reykjavik to Dublin.\n**Day 10-14:** Visit Dublin for 5 days.\n**Day 14:** Fly from Dublin to Santorini.\n**Day 14-17:** Visit Santorini for 4 days.\n**Day 17:** Fly from Santorini to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Vienna**Helsinki**Riga**Tallinn**Dublin",
    "ground_truth_durations": "2**2**3**3**5**5",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Vienna",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 3 and day 5 to tour together. You would like to visit Riga for 3 days. You want to spend 2 days in Reykjavik. You would like to visit Vienna for 2 days. From day 2 to day 3, there is a annual show you want to attend in Vienna. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 7 and day 11.\n\nHere are the cities that have direct flights:\nHelsinki and Riga, from Riga to Tallinn, Vienna and Helsinki, Riga and Dublin, Vienna and Riga, Reykjavik and Vienna, Helsinki and Dublin, Tallinn and Dublin, Reykjavik and Helsinki, Reykjavik and Dublin, Helsinki and Tallinn, Vienna and Dublin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 3 and day 5 to tour together. You would like to visit Riga for 3 days. You want to spend 2 days in Reykjavik. You would like to visit Vienna for 2 days. From day 2 to day 3, there is a annual show you want to attend in Vienna. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Riga, from Riga to Tallinn, from Vienna to Helsinki, from Riga to Dublin, from Vienna to Riga, from Reykjavik to Vienna, from Helsinki to Dublin, from Tallinn to Dublin, from Reykjavik to Helsinki, from Reykjavik to Dublin, from Helsinki to Tallinn, from Vienna to Dublin.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Vienna.\n**Day 2-3:** Visit Vienna for 2 days.\n**Day 3:** Fly from Vienna to Helsinki.\n**Day 3-5:** Visit Helsinki for 3 days.\n**Day 5:** Fly from Helsinki to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Dublin.\n**Day 11-15:** Visit Dublin for 5 days.",
    "id": "trip_planning_example_777",
    "estimated_output_tokens": 1859,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Riga, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 2 - 3.\n* City: Helsinki, Fixed Schedule: Day 3 - 5.\n* City: Tallinn, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Dublin, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Riga, Reykjavik] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 2 - 3).\n |- The departure day of Dublin is Day 5. The arrival day of Vienna is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 2 - 3).\n |- The departure day of Riga is Day 3. The arrival day of Vienna is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 2 - 3).\n |- The departure day of Reykjavik is Day 2. The arrival day of Vienna is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 3 - 5).\n   |- The departure day of Vienna is Day 3. The arrival day of Helsinki is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Reykjavik, Vienna].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vienna to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 7 - 11).\n     |- The departure day of Helsinki is Day 5. The arrival day of Tallinn is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Reykjavik, Vienna, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Riga] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Helsinki to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 7 - 11).\n       |- The departure day of Dublin is Day 9. The arrival day of Tallinn is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Helsinki to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 7 - 11).\n       |- The departure day of Riga is Day 7. The arrival day of Tallinn is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Reykjavik, Vienna, Helsinki, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Reykjavik, Vienna, Helsinki, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Tallinn to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Reykjavik, Vienna, Helsinki, Riga, Tallinn, Dublin].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Vienna.\n**Day 2-3:** Visit Vienna for 2 days.\n**Day 3:** Fly from Vienna to Helsinki.\n**Day 3-5:** Visit Helsinki for 3 days.\n**Day 5:** Fly from Helsinki to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Dublin.\n**Day 11-15:** Visit Dublin for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Milan**Prague**Bucharest**Rome**Venice",
    "ground_truth_durations": "4**4**5**3**5**5",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Prague"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Prague",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You want to spend 5 days in Venice. You would like to visit Bucharest for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Milan for 4 days. You want to meet a friend in Milan between day 4 and day 7. You plan to stay in Rome for 5 days.\n\nHere are the cities that have direct flights:\nMilan and Prague, Rome and Venice, Prague and Bucharest, Vilnius and Milan, Bucharest and Rome, Prague and Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You want to spend 5 days in Venice. You would like to visit Bucharest for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Milan for 4 days. You want to meet a friend in Milan between day 4 and day 7. You plan to stay in Rome for 5 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Prague, from Rome to Venice, from Prague to Bucharest, from Vilnius to Milan, from Bucharest to Rome, from Prague to Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Rome.\n**Day 13-17:** Visit Rome for 5 days.\n**Day 17:** Fly from Rome to Venice.\n**Day 17-21:** Visit Venice for 5 days.",
    "id": "trip_planning_example_778",
    "estimated_output_tokens": 2164,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Rome, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Venice, Bucharest, Vilnius, Rome] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Prague is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Venice is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Bucharest is Day 3. The arrival day of Milan is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Venice, Vilnius, Rome] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 7).\n   |- The departure day of Rome is Day 7. The arrival day of Milan is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Vilnius is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Venice, Bucharest, Rome] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Bucharest, Rome] and explore these options in order.\n       |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Prague to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Prague to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Milan, Prague, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Rome] and explore these options in order.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Bucharest to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Bucharest to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vilnius, Milan, Prague, Bucharest, Rome].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Rome to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Vilnius, Milan, Prague, Bucharest, Rome, Venice].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Rome.\n**Day 13-17:** Visit Rome for 5 days.\n**Day 17:** Fly from Rome to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Bucharest**Paris**Reykjavik**Dublin**Dubrovnik",
    "ground_truth_durations": "3**4**5**5**5**4",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 18,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Paris",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dublin. You want to spend 4 days in Bucharest. During day 3 and day 6, you have to attend a conference in Bucharest. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 6 and day 10 to tour together. You plan to stay in Reykjavik for 5 days. You plan to stay in Budapest for 3 days. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 18 and day 21.\n\nHere are the cities that have direct flights:\nBudapest and Reykjavik, Budapest and Bucharest, Bucharest and Paris, Reykjavik and Dublin, Paris and Reykjavik, Budapest and Dublin, Dublin and Dubrovnik, Bucharest and Dublin, Budapest and Paris, Paris and Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dublin. You want to spend 4 days in Bucharest. During day 3 and day 6, you have to attend a conference in Bucharest. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 6 and day 10 to tour together. You plan to stay in Reykjavik for 5 days. You plan to stay in Budapest for 3 days. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 18 and day 21.\n\nHere are the cities that have direct flights:\nfrom Budapest to Reykjavik, from Budapest to Bucharest, from Bucharest to Paris, from Reykjavik to Dublin, from Paris to Reykjavik, from Budapest to Dublin, from Dublin to Dubrovnik, from Bucharest to Dublin, from Budapest to Paris, from Paris to Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Dublin.\n**Day 14-18:** Visit Dublin for 5 days.\n**Day 18:** Fly from Dublin to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_779",
    "estimated_output_tokens": 2083,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Reykjavik, Duration: 5 days.\n* City: Budapest, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 3 - 6.\n* City: Paris, Fixed Schedule: Day 6 - 10.\n* City: Dubrovnik, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Dublin, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Budapest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Budapest] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Dublin is Day 5. The arrival day of Bucharest is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Reykjavik is Day 5. The arrival day of Bucharest is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Budapest is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 6 - 10).\n   |- The departure day of Bucharest is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Bucharest to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 18 - 21).\n     |- The departure day of Paris is Day 10. The arrival day of Dubrovnik is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Bucharest, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Paris to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 18 - 21).\n       |- The departure day of Dublin is Day 14. The arrival day of Dubrovnik is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Budapest, Bucharest, Paris, Dublin].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Dublin to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 18 - 21).\n       |- The departure day of Reykjavik is Day 14. The arrival day of Dubrovnik is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Budapest, Bucharest, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Reykjavik to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 18 - 21).\n         |- The departure day of Dublin is Day 18. The arrival day of Dubrovnik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Budapest, Bucharest, Paris, Reykjavik, Dublin].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Dublin to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Budapest, Bucharest, Paris, Reykjavik, Dublin, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Dublin.\n**Day 14-18:** Visit Dublin for 5 days.\n**Day 18:** Fly from Dublin to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Athens**Munich**Lyon**Vienna**Riga",
    "ground_truth_durations": "2**3**3**2**4**3",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Riga"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Naples",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 2 and day 4 to tour together. You plan to stay in Vienna for 4 days. You plan to stay in Riga for 3 days. You want to spend 2 days in Lyon. You want to meet a friend in Lyon between day 6 and day 7. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Riga, from Riga to Munich, Vienna and Riga, Athens and Munich, Munich and Lyon, Lyon and Vienna, Naples and Vienna, Athens and Vienna, Naples and Athens, Munich and Vienna, Naples and Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 2 and day 4 to tour together. You plan to stay in Vienna for 4 days. You plan to stay in Riga for 3 days. You want to spend 2 days in Lyon. You want to meet a friend in Lyon between day 6 and day 7. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Riga, from Riga to Munich, from Vienna to Riga, from Athens to Munich, from Munich to Lyon, from Lyon to Vienna, from Naples to Vienna, from Athens to Vienna, from Naples to Athens, from Munich to Vienna, from Naples to Munich.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Athens.\n**Day 2-4:** Visit Athens for 3 days.\n**Day 4:** Fly from Athens to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Riga.\n**Day 10-12:** Visit Riga for 3 days.",
    "id": "trip_planning_example_780",
    "estimated_output_tokens": 1798,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 2 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Munich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 2 - 4.\n* City: Lyon, Fixed Schedule: Day 6 - 7.\n\nCities needing arrangement:\n* City: Naples, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Vienna, Riga, Munich] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 2 - 4).\n |- The departure day of Naples is Day 2. The arrival day of Athens is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 6 - 7).\n   |- The departure day of Athens is Day 4. The arrival day of Lyon is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Riga, Munich] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Athens to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n     |- The departure day of Vienna is Day 7. The arrival day of Lyon is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n     |- The departure day of Riga is Day 6. The arrival day of Lyon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Riga to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Athens to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n     |- The departure day of Munich is Day 6. The arrival day of Lyon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Athens, Munich].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Naples, Athens, Munich, Lyon].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Riga] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Lyon to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Athens, Munich, Lyon, Vienna].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Vienna to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Naples, Athens, Munich, Lyon, Vienna, Riga].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Athens.\n**Day 2-4:** Visit Athens for 3 days.\n**Day 4:** Fly from Athens to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Riga.\n**Day 10-12:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Barcelona**Porto**Seville**Madrid**Bucharest",
    "ground_truth_durations": "5**3**2**5**4**2",
    "num_cities": 6,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Porto",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You would like to meet your friends at Seville between day 8 and day 12 to tour together. You would like to visit Porto for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 15 and day 16. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 5 and day 7. You want to spend 5 days in London. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Bucharest, London and Madrid, Seville and Madrid, Madrid and Bucharest, Barcelona and Seville, London and Bucharest, Barcelona and Porto, Porto and Seville, Barcelona and Madrid, London and Barcelona, Porto and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You would like to meet your friends at Seville between day 8 and day 12 to tour together. You would like to visit Porto for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 15 and day 16. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 5 and day 7. You want to spend 5 days in London. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Bucharest, from London to Madrid, from Seville to Madrid, from Madrid to Bucharest, from Barcelona to Seville, from London to Bucharest, from Barcelona to Porto, from Porto to Seville, from Barcelona to Madrid, from London to Barcelona, from Porto to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 16 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Porto.\n**Day 7-8:** Visit Porto for 2 days.\n**Day 8:** Fly from Porto to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_781",
    "estimated_output_tokens": 2008,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Porto, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: London, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 5 - 7.\n* City: Seville, Fixed Schedule: Day 8 - 12.\n* City: Bucharest, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, London, Madrid] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 7).\n |- The departure day of Porto is Day 2. The arrival day of Barcelona is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Madrid] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Porto to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 5 - 7).\n   |- The departure day of Madrid is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Madrid to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 7).\n |- The departure day of London is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from London to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 8 - 12).\n   |- The departure day of Barcelona is Day 7. The arrival day of Seville is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 8 - 12).\n     |- The departure day of Porto is Day 8. The arrival day of Seville is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Barcelona, Porto].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Porto to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 15 - 16).\n       |- The departure day of Seville is Day 12. The arrival day of Bucharest is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [London, Barcelona, Porto, Seville].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Seville to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 15 - 16).\n         |- The departure day of Madrid is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Barcelona, Porto, Seville, Madrid].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Madrid to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [London, Barcelona, Porto, Seville, Madrid, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Porto.\n**Day 7-8:** Visit Porto for 2 days.\n**Day 8:** Fly from Porto to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Porto**Nice**Riga**Dublin**Dubrovnik",
    "ground_truth_durations": "5**3**2**2**3**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Nice",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. You would like to meet your friends at Nice between day 7 and day 8 to tour together. You want to spend 5 days in Lisbon. You plan to stay in Dublin for 3 days. From day 9 to day 11, there is a annual show you want to attend in Dublin. You want to spend 3 days in Porto. You have to attend a workshop in Porto between day 5 and day 7. You want to spend 2 days in Dubrovnik. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nDublin and Dubrovnik, Porto and Dublin, Lisbon and Riga, Lisbon and Porto, Lisbon and Dublin, Nice and Dublin, Porto and Nice, Riga and Dublin, Lisbon and Nice, Nice and Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Nice. You would like to meet your friends at Nice between day 7 and day 8 to tour together. You want to spend 5 days in Lisbon. You plan to stay in Dublin for 3 days. From day 9 to day 11, there is a annual show you want to attend in Dublin. You want to spend 3 days in Porto. You have to attend a workshop in Porto between day 5 and day 7. You want to spend 2 days in Dubrovnik. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Dublin to Dubrovnik, from Porto to Dublin, from Lisbon to Riga, from Lisbon to Porto, from Lisbon to Dublin, from Nice to Dublin, from Porto to Nice, from Riga to Dublin, from Lisbon to Nice, from Nice to Riga.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Dubrovnik.\n**Day 11-12:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_782",
    "estimated_output_tokens": 1542,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Lisbon, Duration: 5 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Dubrovnik, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 5 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 8.\n* City: Dublin, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Dubrovnik, Riga] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 7).\n |- The departure day of Lisbon is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lisbon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 7 - 8).\n   |- The departure day of Porto is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lisbon, Porto].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Porto to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 9 - 11).\n     |- The departure day of Nice is Day 8. The arrival day of Dublin is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Porto, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Riga] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Nice to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 9 - 11).\n       |- The departure day of Riga is Day 9. The arrival day of Dublin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lisbon, Porto, Nice, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lisbon, Porto, Nice, Riga, Dublin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Dublin to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Lisbon, Porto, Nice, Riga, Dublin, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Dubrovnik.\n**Day 11-12:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Prague**Barcelona**Dubrovnik**Vienna**Vilnius",
    "ground_truth_durations": "4**3**5**3**3**5",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Madrid",
        "Prague"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You have to attend a workshop in Prague between day 4 and day 6. You plan to stay in Dubrovnik for 3 days. You plan to stay in Vilnius for 5 days. You want to spend 4 days in Madrid. You are going to attend a wedding in Madrid between day 1 and day 4. You want to spend 5 days in Barcelona. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nMadrid and Vienna, Prague and Barcelona, Dubrovnik and Vienna, Madrid and Prague, Vienna and Vilnius, Barcelona and Dubrovnik, Madrid and Barcelona, Prague and Vienna, Barcelona and Vienna, Madrid and Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You have to attend a workshop in Prague between day 4 and day 6. You plan to stay in Dubrovnik for 3 days. You plan to stay in Vilnius for 5 days. You want to spend 4 days in Madrid. You are going to attend a wedding in Madrid between day 1 and day 4. You want to spend 5 days in Barcelona. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Vienna, from Prague to Barcelona, from Dubrovnik to Vienna, from Madrid to Prague, from Vienna to Vilnius, from Barcelona to Dubrovnik, from Madrid to Barcelona, from Prague to Vienna, from Barcelona to Vienna, from Madrid to Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_783",
    "estimated_output_tokens": 1538,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Dubrovnik, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 4 - 6.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Madrid is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vilnius, Barcelona, Vienna] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Prague, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vilnius, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Barcelona to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Prague, Barcelona, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Dubrovnik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Dubrovnik to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Prague, Barcelona, Dubrovnik, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Madrid, Prague, Barcelona, Dubrovnik, Vienna, Vilnius].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Vilnius.\n**Day 14-18:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Warsaw**Naples**Dubrovnik**Madrid**Lyon",
    "ground_truth_durations": "5**4**5**3**4**4",
    "num_cities": 6,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Madrid"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Berlin",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Warsaw. You are going to attend a wedding in Warsaw between day 5 and day 8. You plan to stay in Berlin for 5 days. You want to spend 4 days in Madrid. You want to spend 5 days in Naples. You plan to stay in Dubrovnik for 3 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nNaples and Madrid, Warsaw and Madrid, Berlin and Madrid, Naples and Dubrovnik, Warsaw and Naples, Madrid and Lyon, Dubrovnik and Madrid, Berlin and Warsaw, Berlin and Naples.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Warsaw. You are going to attend a wedding in Warsaw between day 5 and day 8. You plan to stay in Berlin for 5 days. You want to spend 4 days in Madrid. You want to spend 5 days in Naples. You plan to stay in Dubrovnik for 3 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Madrid, from Warsaw to Madrid, from Berlin to Madrid, from Naples to Dubrovnik, from Warsaw to Naples, from Madrid to Lyon, from Dubrovnik to Madrid, from Berlin to Warsaw, from Berlin to Naples.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 20 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Madrid.\n**Day 14-17:** Visit Madrid for 4 days.\n**Day 17:** Fly from Madrid to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_784",
    "estimated_output_tokens": 2358,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Berlin, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Naples, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 5 - 8.\n\nCities needing arrangement:\n* City: Berlin, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Naples, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Madrid, Naples, Dubrovnik, Lyon] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 8).\n |- The departure day of Berlin is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Warsaw].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Naples, Dubrovnik, Lyon] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Warsaw to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Berlin, Warsaw, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik, Lyon] and explore these options in order.\n       |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Madrid to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Madrid to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Madrid to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Berlin, Warsaw, Madrid, Lyon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lyon to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Lyon to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Warsaw to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, Warsaw, Naples].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Dubrovnik, Lyon] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Naples to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Berlin, Warsaw, Naples, Madrid].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Madrid to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Madrid to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Berlin, Warsaw, Naples, Madrid, Lyon].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Lyon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Naples to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Berlin, Warsaw, Naples, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Dubrovnik to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Berlin, Warsaw, Naples, Dubrovnik, Madrid].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Madrid to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Berlin, Warsaw, Naples, Dubrovnik, Madrid, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Madrid.\n**Day 14-17:** Visit Madrid for 4 days.\n**Day 17:** Fly from Madrid to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Warsaw**Milan**Santorini**Zurich**Dubrovnik",
    "ground_truth_durations": "5**4**5**2**3**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Milan",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Warsaw. You plan to visit relatives in Warsaw between day 5 and day 8. You plan to stay in Santorini for 2 days. You want to meet a friend in Santorini between day 12 and day 13. You would like to visit Zurich for 3 days. You would like to meet your friends at Zurich between day 13 and day 15 to tour together. You would like to visit Dubrovnik for 4 days. You plan to stay in Milan for 5 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Warsaw, Santorini and Zurich, Zurich and Dubrovnik, Milan and Santorini, Berlin and Zurich, Warsaw and Zurich, Warsaw and Milan, Berlin and Milan, Milan and Zurich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Warsaw. You plan to visit relatives in Warsaw between day 5 and day 8. You plan to stay in Santorini for 2 days. You want to meet a friend in Santorini between day 12 and day 13. You would like to visit Zurich for 3 days. You would like to meet your friends at Zurich between day 13 and day 15 to tour together. You would like to visit Dubrovnik for 4 days. You plan to stay in Milan for 5 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Warsaw, from Santorini to Zurich, from Zurich to Dubrovnik, from Milan to Santorini, from Berlin to Zurich, from Warsaw to Zurich, from Warsaw to Milan, from Berlin to Milan, from Milan to Zurich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Milan.\n**Day 8-12:** Visit Milan for 5 days.\n**Day 12:** Fly from Milan to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Zurich.\n**Day 13-15:** Visit Zurich for 3 days.\n**Day 15:** Fly from Zurich to Dubrovnik.\n**Day 15-18:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_785",
    "estimated_output_tokens": 2096,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Dubrovnik, Duration: 4 days.\n* City: Milan, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 5 - 8.\n* City: Santorini, Fixed Schedule: Day 12 - 13.\n* City: Zurich, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Milan, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Berlin] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 8).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Warsaw is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Berlin] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 8).\n |- The departure day of Milan is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Milan to Warsaw.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 8).\n |- The departure day of Berlin is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 12 - 13).\n   |- The departure day of Warsaw is Day 8. The arrival day of Santorini is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Warsaw].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Milan] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 13).\n     |- The departure day of Milan is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Zurich (Day 13 - 15).\n       |- The departure day of Santorini is Day 13. The arrival day of Zurich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Warsaw, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Santorini to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Berlin, Warsaw, Milan, Santorini, Zurich].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Zurich to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Berlin, Warsaw, Milan, Santorini, Zurich, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Milan.\n**Day 8-12:** Visit Milan for 5 days.\n**Day 12:** Fly from Milan to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Zurich.\n**Day 13-15:** Visit Zurich for 3 days.\n**Day 15:** Fly from Zurich to Dubrovnik.\n**Day 15-18:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Paris**Venice**Copenhagen**Porto**Valencia",
    "ground_truth_durations": "5**2**4**2**4**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Valencia"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Paris",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 1 and day 5. You want to spend 2 days in Paris. From day 5 to day 6, there is a annual show you want to attend in Paris. You plan to stay in Valencia for 2 days. You want to meet a friend in Valencia between day 13 and day 14. You would like to visit Porto for 4 days. You would like to visit Copenhagen for 2 days. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nParis and Valencia, Paris and Venice, Riga and Copenhagen, Riga and Paris, Porto and Valencia, Paris and Porto, Venice and Copenhagen, Copenhagen and Porto, Copenhagen and Valencia, Paris and Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 1 and day 5. You want to spend 2 days in Paris. From day 5 to day 6, there is a annual show you want to attend in Paris. You plan to stay in Valencia for 2 days. You want to meet a friend in Valencia between day 13 and day 14. You would like to visit Porto for 4 days. You would like to visit Copenhagen for 2 days. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Valencia, from Paris to Venice, from Riga to Copenhagen, from Riga to Paris, from Porto to Valencia, from Paris to Porto, from Venice to Copenhagen, from Copenhagen to Porto, from Copenhagen to Valencia, from Paris to Copenhagen.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Porto.\n**Day 10-13:** Visit Porto for 4 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_786",
    "estimated_output_tokens": 2359,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Porto, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 6).\n |- The departure day of Riga is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 13 - 14).\n   |- The departure day of Paris is Day 6. The arrival day of Valencia is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Copenhagen, Venice] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 13 - 14).\n     |- The departure day of Porto is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Paris, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Porto to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Porto to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 13 - 14).\n     |- The departure day of Copenhagen is Day 7. The arrival day of Valencia is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Paris, Copenhagen].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Venice] and explore these options in order.\n       |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Copenhagen to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 14).\n       |- The departure day of Porto is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Paris, Copenhagen, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Porto to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Copenhagen to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 13 - 14).\n     |- The departure day of Venice is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 14).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Paris, Venice, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Copenhagen to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 13 - 14).\n         |- The departure day of Porto is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Riga, Paris, Venice, Copenhagen, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Riga, Paris, Venice, Copenhagen, Porto, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Porto.\n**Day 10-13:** Visit Porto for 4 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Amsterdam**Vilnius**Berlin**Barcelona**Naples",
    "ground_truth_durations": "3**2**2**5**3**3",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You want to spend 2 days in Vilnius. You would like to visit Barcelona for 3 days. You want to spend 5 days in Berlin. You are going to attend a wedding in Berlin between day 5 and day 9. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 11 and day 13 to tour together. You would like to visit Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Vilnius, Amsterdam and Barcelona, Amsterdam and Naples, Berlin and Naples, Bucharest and Amsterdam, Berlin and Barcelona, Amsterdam and Berlin, Vilnius and Berlin, Bucharest and Naples, Bucharest and Barcelona, Barcelona and Naples.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You want to spend 2 days in Vilnius. You would like to visit Barcelona for 3 days. You want to spend 5 days in Berlin. You are going to attend a wedding in Berlin between day 5 and day 9. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 11 and day 13 to tour together. You would like to visit Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Vilnius, from Amsterdam to Barcelona, from Amsterdam to Naples, from Berlin to Naples, from Bucharest to Amsterdam, from Berlin to Barcelona, from Amsterdam to Berlin, from Vilnius to Berlin, from Bucharest to Naples, from Bucharest to Barcelona, from Barcelona to Naples.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Vilnius.\n**Day 4-5:** Visit Vilnius for 2 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Barcelona.\n**Day 9-11:** Visit Barcelona for 3 days.\n**Day 11:** Fly from Barcelona to Naples.\n**Day 11-13:** Visit Naples for 3 days.",
    "id": "trip_planning_example_787",
    "estimated_output_tokens": 3121,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Bucharest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 5 - 9.\n* City: Naples, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Barcelona, Bucharest] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Amsterdam is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Bucharest] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Amsterdam to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of Vilnius is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Amsterdam, Vilnius].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Bucharest] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Amsterdam to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of Barcelona is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Amsterdam, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Barcelona to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Barcelona to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Amsterdam to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Vilnius is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Barcelona, Bucharest] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Barcelona is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Bucharest] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Barcelona to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Bucharest is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Barcelona] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 5 - 9).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Amsterdam to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of Vilnius is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Amsterdam, Vilnius].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Vilnius to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 11 - 13).\n       |- The departure day of Berlin is Day 9. The arrival day of Naples is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Amsterdam, Vilnius, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 11 - 13).\n         |- The departure day of Barcelona is Day 11. The arrival day of Naples is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Bucharest, Amsterdam, Vilnius, Berlin, Barcelona].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Barcelona to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Bucharest, Amsterdam, Vilnius, Berlin, Barcelona, Naples].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Vilnius.\n**Day 4-5:** Visit Vilnius for 2 days.\n**Day 5:** Fly from Vilnius to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Barcelona.\n**Day 9-11:** Visit Barcelona for 3 days.\n**Day 11:** Fly from Barcelona to Naples.\n**Day 11-13:** Visit Naples for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Vienna**Nice**Frankfurt**Salzburg",
    "ground_truth_durations": "4**2**3**2**4**2",
    "num_cities": 6,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Vienna"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Vienna",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 8 and day 11 to tour together. You would like to visit Salzburg for 2 days. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 4 and day 5. You plan to stay in Madrid for 4 days. From day 1 to day 4, there is a annual show you want to attend in Madrid. You want to spend 3 days in Vienna. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nSeville and Vienna, Nice and Frankfurt, Madrid and Vienna, Vienna and Nice, Madrid and Frankfurt, Madrid and Nice, Frankfurt and Salzburg, Madrid and Seville, Vienna and Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 8 and day 11 to tour together. You would like to visit Salzburg for 2 days. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 4 and day 5. You plan to stay in Madrid for 4 days. From day 1 to day 4, there is a annual show you want to attend in Madrid. You want to spend 3 days in Vienna. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Vienna, from Nice to Frankfurt, from Madrid to Vienna, from Vienna to Nice, from Madrid to Frankfurt, from Madrid to Nice, from Frankfurt to Salzburg, from Madrid to Seville, from Vienna to Frankfurt.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 12 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Frankfurt.\n**Day 8-11:** Visit Frankfurt for 4 days.\n**Day 11:** Fly from Frankfurt to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_788",
    "estimated_output_tokens": 1574,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Salzburg, Duration: 2 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vienna, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Seville, Fixed Schedule: Day 4 - 5.\n* City: Frankfurt, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 5).\n |- The departure day of Madrid is Day 4. The arrival day of Seville is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 8 - 11).\n   |- The departure day of Seville is Day 5. The arrival day of Frankfurt is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Vienna, Nice] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Seville to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Seville to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 8 - 11).\n     |- The departure day of Vienna is Day 7. The arrival day of Frankfurt is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Seville, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Nice] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 8 - 11).\n       |- The departure day of Nice is Day 8. The arrival day of Frankfurt is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Madrid, Seville, Vienna, Nice].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Nice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Madrid, Seville, Vienna, Nice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Madrid, Seville, Vienna, Nice, Frankfurt, Salzburg].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Frankfurt.\n**Day 8-11:** Visit Frankfurt for 4 days.\n**Day 11:** Fly from Frankfurt to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Istanbul**Valencia**Krakow**Helsinki**Manchester",
    "ground_truth_durations": "2**3**3**2**5**5",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Helsinki",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You want to spend 3 days in Valencia. You plan to stay in Krakow for 2 days. You plan to stay in Hamburg for 2 days. You would like to meet your friends at Hamburg between day 1 and day 2 to tour together. You want to spend 5 days in Helsinki. You want to meet a friend in Helsinki between day 7 and day 11. You would like to visit Manchester for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Valencia, Hamburg and Istanbul, Istanbul and Krakow, Hamburg and Helsinki, Hamburg and Manchester, Valencia and Krakow, Krakow and Manchester, Istanbul and Helsinki, Krakow and Helsinki, Istanbul and Manchester, Helsinki and Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You want to spend 3 days in Valencia. You plan to stay in Krakow for 2 days. You plan to stay in Hamburg for 2 days. You would like to meet your friends at Hamburg between day 1 and day 2 to tour together. You want to spend 5 days in Helsinki. You want to meet a friend in Helsinki between day 7 and day 11. You would like to visit Manchester for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Valencia, from Hamburg to Istanbul, from Istanbul to Krakow, from Hamburg to Helsinki, from Hamburg to Manchester, from Valencia to Krakow, from Krakow to Manchester, from Istanbul to Helsinki, from Krakow to Helsinki, from Istanbul to Manchester, from Helsinki to Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Helsinki.\n**Day 7-11:** Visit Helsinki for 5 days.\n**Day 11:** Fly from Helsinki to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_789",
    "estimated_output_tokens": 1462,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Manchester, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 7 - 11).\n |- The departure day of Hamburg is Day 2. The arrival day of Helsinki is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Valencia, Krakow, Manchester] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 7 - 11).\n   |- The departure day of Istanbul is Day 4. The arrival day of Helsinki is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Krakow, Manchester] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 7 - 11).\n     |- The departure day of Valencia is Day 6. The arrival day of Helsinki is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Hamburg, Istanbul, Valencia].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Manchester] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Valencia to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 7 - 11).\n       |- The departure day of Krakow is Day 7. The arrival day of Helsinki is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Hamburg, Istanbul, Valencia, Krakow].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Helsinki.\n         |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Krakow to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Istanbul, Valencia, Krakow, Helsinki].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Helsinki to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Istanbul, Valencia, Krakow, Helsinki, Manchester].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Helsinki.\n**Day 7-11:** Visit Helsinki for 5 days.\n**Day 11:** Fly from Helsinki to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Valencia**Athens**Riga**Istanbul**Budapest",
    "ground_truth_durations": "3**5**5**2**3**4",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Rome",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You plan to stay in Budapest for 4 days. You would like to visit Riga for 2 days. You would like to visit Athens for 5 days. You plan to stay in Rome for 3 days. You would like to visit Valencia for 5 days. During day 3 and day 7, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nValencia and Istanbul, Athens and Istanbul, from Rome to Riga, from Athens to Riga, Riga and Istanbul, from Valencia to Athens, Rome and Athens, Istanbul and Budapest, Rome and Budapest, Rome and Istanbul, Rome and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Istanbul. You plan to stay in Budapest for 4 days. You would like to visit Riga for 2 days. You would like to visit Athens for 5 days. You plan to stay in Rome for 3 days. You would like to visit Valencia for 5 days. During day 3 and day 7, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nfrom Valencia to Istanbul, from Athens to Istanbul, from Rome to Riga, from Athens to Riga, from Riga to Istanbul, from Valencia to Athens, from Rome to Athens, from Istanbul to Budapest, from Rome to Budapest, from Rome to Istanbul, from Rome to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n**Day 12:** Fly from Riga to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Budapest.\n**Day 14-17:** Visit Budapest for 4 days.",
    "id": "trip_planning_example_790",
    "estimated_output_tokens": 3408,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 3 - 7.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Budapest, Riga, Athens, Rome] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Istanbul is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Budapest is Day 4. The arrival day of Valencia is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Riga is Day 2. The arrival day of Valencia is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest, Athens, Rome] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 3 - 7).\n   |- The departure day of Istanbul is Day 4. The arrival day of Valencia is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Athens is Day 5. The arrival day of Valencia is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Rome is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Rome to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest, Riga, Athens] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Valencia to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Valencia, Istanbul].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Riga, Athens] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Istanbul to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Valencia, Istanbul, Budapest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Athens] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Budapest to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Budapest to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Istanbul to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Istanbul to Athens.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Valencia to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest, Riga] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Athens to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Valencia, Athens, Istanbul].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Riga] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Istanbul to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Valencia, Athens, Istanbul, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Budapest to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Istanbul to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Athens to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Athens to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Valencia, Athens, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Riga to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Rome, Valencia, Athens, Riga, Istanbul].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Istanbul to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Rome, Valencia, Athens, Riga, Istanbul, Budapest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Athens.\n**Day 7-11:** Visit Athens for 5 days.\n**Day 11:** Fly from Athens to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n**Day 12:** Fly from Riga to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Budapest.\n**Day 14-17:** Visit Budapest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Naples**Lisbon**Krakow**Warsaw**Bucharest",
    "ground_truth_durations": "5**5**5**4**5**2",
    "num_cities": 6,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 13 and day 16. You want to spend 5 days in Lisbon. You want to meet a friend in Lisbon between day 9 and day 13. You would like to visit Warsaw for 5 days. You plan to stay in Bucharest for 2 days. You have to attend a workshop in Bucharest between day 20 and day 21. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nWarsaw and Bucharest, Naples and Warsaw, Naples and Bucharest, Naples and Lisbon, Santorini and Bucharest, Lisbon and Bucharest, Krakow and Warsaw, Santorini and Naples, Lisbon and Warsaw, Lisbon and Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 13 and day 16. You want to spend 5 days in Lisbon. You want to meet a friend in Lisbon between day 9 and day 13. You would like to visit Warsaw for 5 days. You plan to stay in Bucharest for 2 days. You have to attend a workshop in Bucharest between day 20 and day 21. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Bucharest, from Naples to Warsaw, from Naples to Bucharest, from Naples to Lisbon, from Santorini to Bucharest, from Lisbon to Bucharest, from Krakow to Warsaw, from Santorini to Naples, from Lisbon to Warsaw, from Lisbon to Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 21 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Naples.\n**Day 5-9:** Visit Naples for 5 days.\n**Day 9:** Fly from Naples to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-20:** Visit Warsaw for 5 days.\n**Day 20:** Fly from Warsaw to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_791",
    "estimated_output_tokens": 2350,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 5 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Warsaw, Duration: 5 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 9 - 13.\n* City: Krakow, Fixed Schedule: Day 13 - 16.\n* City: Bucharest, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Naples, Duration: 5 days.\n* City: Warsaw, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Warsaw, Santorini] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Naples is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Santorini] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Naples to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 13).\n   |- The departure day of Warsaw is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Warsaw to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Naples to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Warsaw is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Santorini] and explore these options in order.\n   |- Try arranging to visit Naples from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Santorini is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Warsaw] and explore these options in order.\n   |- Try arranging to visit Naples from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 13).\n   |- The departure day of Naples is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Santorini, Naples].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Naples to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 16).\n     |- The departure day of Lisbon is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, Naples, Lisbon].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Lisbon to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 20 - 21).\n       |- The departure day of Krakow is Day 16. The arrival day of Bucharest is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Santorini, Naples, Lisbon, Krakow].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Krakow to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 20 - 21).\n         |- The departure day of Warsaw is Day 20. The arrival day of Bucharest is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Santorini, Naples, Lisbon, Krakow, Warsaw].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- Yes. The city with an arrival day of Day 20 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Warsaw to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Santorini, Naples, Lisbon, Krakow, Warsaw, Bucharest].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Naples.\n**Day 5-9:** Visit Naples for 5 days.\n**Day 9:** Fly from Naples to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-20:** Visit Warsaw for 5 days.\n**Day 20:** Fly from Warsaw to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Warsaw**Madrid**Mykonos**Geneva**Dubrovnik",
    "ground_truth_durations": "3**5**2**2**4**3",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 4 days. You want to meet a friend in Geneva between day 9 and day 12. You want to spend 3 days in Stockholm. You plan to stay in Madrid for 2 days. You would like to visit Dubrovnik for 3 days. You plan to stay in Warsaw for 5 days. From day 3 to day 7, there is a annual show you want to attend in Warsaw. You want to spend 2 days in Mykonos. You would like to meet your friends at Mykonos between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nStockholm and Madrid, Madrid and Geneva, Stockholm and Warsaw, Warsaw and Madrid, Madrid and Dubrovnik, Stockholm and Geneva, Warsaw and Geneva, Mykonos and Geneva, Stockholm and Dubrovnik, Madrid and Mykonos, Geneva and Dubrovnik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 4 days. You want to meet a friend in Geneva between day 9 and day 12. You want to spend 3 days in Stockholm. You plan to stay in Madrid for 2 days. You would like to visit Dubrovnik for 3 days. You plan to stay in Warsaw for 5 days. From day 3 to day 7, there is a annual show you want to attend in Warsaw. You want to spend 2 days in Mykonos. You would like to meet your friends at Mykonos between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Madrid, from Madrid to Geneva, from Stockholm to Warsaw, from Warsaw to Madrid, from Madrid to Dubrovnik, from Stockholm to Geneva, from Warsaw to Geneva, from Mykonos to Geneva, from Stockholm to Dubrovnik, from Madrid to Mykonos, from Geneva to Dubrovnik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Warsaw.\n**Day 3-7:** Visit Warsaw for 5 days.\n**Day 7:** Fly from Warsaw to Madrid.\n**Day 7-8:** Visit Madrid for 2 days.\n**Day 8:** Fly from Madrid to Mykonos.\n**Day 8-9:** Visit Mykonos for 2 days.\n**Day 9:** Fly from Mykonos to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_792",
    "estimated_output_tokens": 1506,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Stockholm, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 3 - 7.\n* City: Mykonos, Fixed Schedule: Day 8 - 9.\n* City: Geneva, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Madrid, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 3 - 7).\n |- The departure day of Stockholm is Day 3. The arrival day of Warsaw is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 8 - 9).\n   |- The departure day of Warsaw is Day 7. The arrival day of Mykonos is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stockholm, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Warsaw to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 8 - 9).\n     |- The departure day of Madrid is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stockholm, Warsaw, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 9 - 12).\n       |- The departure day of Mykonos is Day 9. The arrival day of Geneva is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Stockholm, Warsaw, Madrid, Mykonos].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Mykonos to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stockholm, Warsaw, Madrid, Mykonos, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Geneva to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, Warsaw, Madrid, Mykonos, Geneva, Dubrovnik].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Warsaw.\n**Day 3-7:** Visit Warsaw for 5 days.\n**Day 7:** Fly from Warsaw to Madrid.\n**Day 7-8:** Visit Madrid for 2 days.\n**Day 8:** Fly from Madrid to Mykonos.\n**Day 8-9:** Visit Mykonos for 2 days.\n**Day 9:** Fly from Mykonos to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Lisbon**Bucharest**Riga**Paris**Stockholm",
    "ground_truth_durations": "2**2**5**3**3**4",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 3 and day 7. You want to spend 2 days in Lisbon. You want to spend 3 days in Paris. You have to attend a workshop in Paris between day 9 and day 11. You want to spend 4 days in Stockholm. You plan to stay in Riga for 3 days. You would like to visit Hamburg for 2 days. You plan to visit relatives in Hamburg between day 1 and day 2.\n\nHere are the cities that have direct flights:\nBucharest and Riga, Lisbon and Bucharest, Hamburg and Lisbon, Bucharest and Paris, Riga and Paris, Lisbon and Paris, from Riga to Hamburg, Paris and Stockholm, Riga and Stockholm, Hamburg and Bucharest, Lisbon and Stockholm, Lisbon and Riga, Hamburg and Stockholm, Hamburg and Paris.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Bucharest. You want to meet a friend in Bucharest between day 3 and day 7. You want to spend 2 days in Lisbon. You want to spend 3 days in Paris. You have to attend a workshop in Paris between day 9 and day 11. You want to spend 4 days in Stockholm. You plan to stay in Riga for 3 days. You would like to visit Hamburg for 2 days. You plan to visit relatives in Hamburg between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Riga, from Lisbon to Bucharest, from Hamburg to Lisbon, from Bucharest to Paris, from Riga to Paris, from Lisbon to Paris, from Riga to Hamburg, from Paris to Stockholm, from Riga to Stockholm, from Hamburg to Bucharest, from Lisbon to Stockholm, from Lisbon to Riga, from Hamburg to Stockholm, from Hamburg to Paris.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Bucharest.\n**Day 3-7:** Visit Bucharest for 5 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-9:** Visit Riga for 3 days.\n**Day 9:** Fly from Riga to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.",
    "id": "trip_planning_example_793",
    "estimated_output_tokens": 1533,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Lisbon, Duration: 2 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Stockholm, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n* City: Bucharest, Fixed Schedule: Day 3 - 7.\n* City: Paris, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Stockholm, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 7).\n |- The departure day of Hamburg is Day 2. The arrival day of Bucharest is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Stockholm, Riga] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Hamburg to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 3 - 7).\n   |- The departure day of Lisbon is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Hamburg, Lisbon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lisbon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 9 - 11).\n     |- The departure day of Bucharest is Day 7. The arrival day of Paris is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Lisbon, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Riga] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Bucharest to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 9 - 11).\n       |- The departure day of Riga is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Lisbon, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Lisbon, Bucharest, Riga, Paris].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Paris to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Hamburg, Lisbon, Bucharest, Riga, Paris, Stockholm].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Bucharest.\n**Day 3-7:** Visit Bucharest for 5 days.\n**Day 7:** Fly from Bucharest to Riga.\n**Day 7-9:** Visit Riga for 3 days.\n**Day 9:** Fly from Riga to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Krakow**Edinburgh**Athens**Munich**Lyon",
    "ground_truth_durations": "3**5**5**4**3**2",
    "num_cities": 6,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. During day 16 and day 17, you have to attend a conference in Lyon. You would like to visit Krakow for 5 days. You would like to meet your friends at Krakow between day 3 and day 7 to tour together. You want to spend 5 days in Edinburgh. You plan to visit relatives in Edinburgh between day 7 and day 11. You would like to visit Munich for 3 days. You want to spend 3 days in Copenhagen. You plan to stay in Athens for 4 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Athens, Copenhagen and Munich, Copenhagen and Athens, Copenhagen and Krakow, Krakow and Edinburgh, Athens and Munich, Krakow and Munich, Copenhagen and Edinburgh, Munich and Lyon, Edinburgh and Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. During day 16 and day 17, you have to attend a conference in Lyon. You would like to visit Krakow for 5 days. You would like to meet your friends at Krakow between day 3 and day 7 to tour together. You want to spend 5 days in Edinburgh. You plan to visit relatives in Edinburgh between day 7 and day 11. You would like to visit Munich for 3 days. You want to spend 3 days in Copenhagen. You plan to stay in Athens for 4 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Athens, from Copenhagen to Munich, from Copenhagen to Athens, from Copenhagen to Krakow, from Krakow to Edinburgh, from Athens to Munich, from Krakow to Munich, from Copenhagen to Edinburgh, from Munich to Lyon, from Edinburgh to Munich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 17 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Edinburgh.\n**Day 7-11:** Visit Edinburgh for 5 days.\n**Day 11:** Fly from Edinburgh to Athens.\n**Day 11-14:** Visit Athens for 4 days.\n**Day 14:** Fly from Athens to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_794",
    "estimated_output_tokens": 2015,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Munich, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 3 - 7.\n* City: Edinburgh, Fixed Schedule: Day 7 - 11.\n* City: Lyon, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Copenhagen, Athens] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 7).\n |- The departure day of Munich is Day 3. The arrival day of Krakow is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 7).\n |- The departure day of Copenhagen is Day 3. The arrival day of Krakow is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Edinburgh (Day 7 - 11).\n   |- The departure day of Krakow is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Krakow].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Krakow to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 16 - 17).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Lyon is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Krakow, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Athens] and explore these options in order.\n       |- Try arranging to visit Munich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Edinburgh to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 16 - 17).\n       |- The departure day of Munich is Day 13. The arrival day of Lyon is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Krakow, Edinburgh, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Munich to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Athens from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Edinburgh to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 16 - 17).\n       |- The departure day of Athens is Day 14. The arrival day of Lyon is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Copenhagen, Krakow, Edinburgh, Athens].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n         |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Athens to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 16 - 17).\n         |- The departure day of Munich is Day 16. The arrival day of Lyon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Copenhagen, Krakow, Edinburgh, Athens, Munich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Munich to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Krakow, Edinburgh, Athens, Munich, Lyon].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Edinburgh.\n**Day 7-11:** Visit Edinburgh for 5 days.\n**Day 11:** Fly from Edinburgh to Athens.\n**Day 11-14:** Visit Athens for 4 days.\n**Day 14:** Fly from Athens to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Helsinki**Oslo**Lyon**Vienna**Seville",
    "ground_truth_durations": "2**2**2**2**5**5",
    "num_cities": 6,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Vienna",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You plan to visit relatives in Edinburgh between day 1 and day 2. You plan to stay in Helsinki for 2 days. You want to spend 5 days in Seville. You want to spend 2 days in Oslo. You would like to meet your friends at Oslo between day 3 and day 4 to tour together. You would like to visit Vienna for 5 days. You have to attend a workshop in Vienna between day 5 and day 9. You want to spend 2 days in Lyon.\n\nHere are the cities that have direct flights:\nHelsinki and Oslo, Edinburgh and Oslo, Oslo and Lyon, Lyon and Vienna, Helsinki and Vienna, Edinburgh and Seville, Edinburgh and Helsinki, Oslo and Vienna, Vienna and Seville.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You plan to visit relatives in Edinburgh between day 1 and day 2. You plan to stay in Helsinki for 2 days. You want to spend 5 days in Seville. You want to spend 2 days in Oslo. You would like to meet your friends at Oslo between day 3 and day 4 to tour together. You would like to visit Vienna for 5 days. You have to attend a workshop in Vienna between day 5 and day 9. You want to spend 2 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Oslo, from Edinburgh to Oslo, from Oslo to Lyon, from Lyon to Vienna, from Helsinki to Vienna, from Edinburgh to Seville, from Edinburgh to Helsinki, from Oslo to Vienna, from Vienna to Seville.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 13 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Helsinki.\n**Day 2-3:** Visit Helsinki for 2 days.\n**Day 3:** Fly from Helsinki to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Seville.\n**Day 9-13:** Visit Seville for 5 days.",
    "id": "trip_planning_example_795",
    "estimated_output_tokens": 1509,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Lyon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Oslo, Fixed Schedule: Day 3 - 4.\n* City: Vienna, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 4).\n |- The departure day of Edinburgh is Day 2. The arrival day of Oslo is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Seville, Lyon] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 3 - 4).\n   |- The departure day of Helsinki is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Edinburgh, Helsinki].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 5 - 9).\n     |- The departure day of Oslo is Day 4. The arrival day of Vienna is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Edinburgh, Helsinki, Oslo].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Lyon] and explore these options in order.\n       |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Oslo to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Oslo to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 5 - 9).\n       |- The departure day of Lyon is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Edinburgh, Helsinki, Oslo, Lyon].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from Lyon to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Edinburgh, Helsinki, Oslo, Lyon, Vienna].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Vienna to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Edinburgh, Helsinki, Oslo, Lyon, Vienna, Seville].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Helsinki.\n**Day 2-3:** Visit Helsinki for 2 days.\n**Day 3:** Fly from Helsinki to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Rome**Dubrovnik**Manchester**Prague**Tallinn",
    "ground_truth_durations": "4**4**4**2**2**4",
    "num_cities": 6,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "London",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in London. During day 1 and day 4, you have to attend a conference in London. You would like to visit Rome for 4 days. You would like to visit Tallinn for 4 days. You plan to stay in Prague for 2 days. You want to spend 2 days in Manchester. From day 10 to day 11, there is a annual show you want to attend in Manchester. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nRome and Dubrovnik, Rome and Manchester, London and Rome, London and Prague, Dubrovnik and Manchester, Rome and Prague, Manchester and Prague, Prague and Tallinn, London and Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in London. During day 1 and day 4, you have to attend a conference in London. You would like to visit Rome for 4 days. You would like to visit Tallinn for 4 days. You plan to stay in Prague for 2 days. You want to spend 2 days in Manchester. From day 10 to day 11, there is a annual show you want to attend in Manchester. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Dubrovnik, from Rome to Manchester, from London to Rome, from London to Prague, from Dubrovnik to Manchester, from Rome to Prague, from Manchester to Prague, from Prague to Tallinn, from London to Manchester.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 15 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-15:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_796",
    "estimated_output_tokens": 1920,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 4.\n* City: Manchester, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 10 - 11).\n |- The departure day of London is Day 4. The arrival day of Manchester is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Tallinn, Prague, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 10 - 11).\n   |- The departure day of Rome is Day 7. The arrival day of Manchester is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 10 - 11).\n     |- The departure day of Prague is Day 8. The arrival day of Manchester is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Rome, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 10 - 11).\n       |- The departure day of Tallinn is Day 11. The arrival day of Manchester is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 10 - 11).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Manchester is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Rome, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dubrovnik to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Rome, Dubrovnik, Manchester].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Manchester to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Manchester to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [London, Rome, Dubrovnik, Manchester, Prague].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Prague to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [London, Rome, Dubrovnik, Manchester, Prague, Tallinn].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-15:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Dubrovnik**Rome**Mykonos**Amsterdam**Valencia",
    "ground_truth_durations": "5**4**3**5**2**5",
    "num_cities": 6,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. You would like to meet your friends at Rome between day 8 and day 10 to tour together. You would like to visit Athens for 5 days. You plan to stay in Mykonos for 5 days. From day 10 to day 14, there is a annual show you want to attend in Mykonos. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 5 and day 8. You want to spend 5 days in Valencia. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nRome and Mykonos, Dubrovnik and Rome, Dubrovnik and Amsterdam, Athens and Amsterdam, Athens and Dubrovnik, Rome and Valencia, Amsterdam and Valencia, Rome and Amsterdam, Athens and Rome, Athens and Mykonos, Mykonos and Amsterdam, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. You would like to meet your friends at Rome between day 8 and day 10 to tour together. You would like to visit Athens for 5 days. You plan to stay in Mykonos for 5 days. From day 10 to day 14, there is a annual show you want to attend in Mykonos. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 5 and day 8. You want to spend 5 days in Valencia. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Rome to Mykonos, from Dubrovnik to Rome, from Dubrovnik to Amsterdam, from Athens to Amsterdam, from Athens to Dubrovnik, from Rome to Valencia, from Amsterdam to Valencia, from Rome to Amsterdam, from Athens to Rome, from Athens to Mykonos, from Mykonos to Amsterdam, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 19 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Rome.\n**Day 8-10:** Visit Rome for 3 days.\n**Day 10:** Fly from Rome to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.\n**Day 14:** Fly from Mykonos to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_797",
    "estimated_output_tokens": 1527,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Athens, Duration: 5 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 5 - 8.\n* City: Rome, Fixed Schedule: Day 8 - 10.\n* City: Mykonos, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Valencia, Amsterdam] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 8).\n |- The departure day of Athens is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 8 - 10).\n   |- The departure day of Dubrovnik is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Dubrovnik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 14).\n     |- The departure day of Rome is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Athens, Dubrovnik, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Athens, Dubrovnik, Rome, Mykonos].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Mykonos to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Mykonos to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Dubrovnik, Rome, Mykonos, Amsterdam].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Amsterdam to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Athens, Dubrovnik, Rome, Mykonos, Amsterdam, Valencia].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Rome.\n**Day 8-10:** Visit Rome for 3 days.\n**Day 10:** Fly from Rome to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.\n**Day 14:** Fly from Mykonos to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Florence**Amsterdam**Copenhagen**Krakow**Oslo",
    "ground_truth_durations": "5**4**4**3**3**4",
    "num_cities": 6,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Oslo"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. You would like to meet your friends at London between day 1 and day 5 to tour together. You would like to visit Krakow for 3 days. During day 13 and day 15, you have to attend a conference in Krakow. You would like to visit Florence for 4 days. You want to spend 4 days in Oslo. You would like to visit Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 11 and day 13. You plan to stay in Amsterdam for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Oslo, London and Florence, Krakow and Oslo, Florence and Amsterdam, Amsterdam and Oslo, Copenhagen and Oslo, Amsterdam and Copenhagen, Amsterdam and Krakow, London and Copenhagen, London and Amsterdam, London and Krakow, Copenhagen and Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 5 days. You would like to meet your friends at London between day 1 and day 5 to tour together. You would like to visit Krakow for 3 days. During day 13 and day 15, you have to attend a conference in Krakow. You would like to visit Florence for 4 days. You want to spend 4 days in Oslo. You would like to visit Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 11 and day 13. You plan to stay in Amsterdam for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Oslo, from London to Florence, from Krakow to Oslo, from Florence to Amsterdam, from Amsterdam to Oslo, from Copenhagen to Oslo, from Amsterdam to Copenhagen, from Amsterdam to Krakow, from London to Copenhagen, from London to Amsterdam, from London to Krakow, from Copenhagen to Krakow.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 18 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Amsterdam.\n**Day 8-11:** Visit Amsterdam for 4 days.\n**Day 11:** Fly from Amsterdam to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.\n**Day 15:** Fly from Krakow to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_798",
    "estimated_output_tokens": 1506,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Florence, Duration: 4 days.\n* City: Oslo, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Amsterdam, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Fixed Schedule: Day 11 - 13.\n* City: Krakow, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Oslo, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 11 - 13).\n |- The departure day of London is Day 5. The arrival day of Copenhagen is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Oslo, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from London to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 11 - 13).\n   |- The departure day of Florence is Day 8. The arrival day of Copenhagen is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [London, Florence].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Florence to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Florence to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 11 - 13).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Copenhagen is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [London, Florence, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Amsterdam to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 15).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Florence, Amsterdam, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Copenhagen to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Florence, Amsterdam, Copenhagen, Krakow].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Krakow to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [London, Florence, Amsterdam, Copenhagen, Krakow, Oslo].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Amsterdam.\n**Day 8-11:** Visit Amsterdam for 4 days.\n**Day 11:** Fly from Amsterdam to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.\n**Day 15:** Fly from Krakow to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Vilnius**Amsterdam**Lyon**London**Geneva",
    "ground_truth_durations": "2**4**5**3**3**2",
    "num_cities": 6,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 2,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Geneva"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You have to attend a workshop in London between day 11 and day 13. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 9 and day 11. You want to spend 5 days in Amsterdam. You would like to visit Zurich for 2 days. You would like to visit Geneva for 2 days. You would like to visit Vilnius for 4 days. During day 2 and day 5, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nLondon and Geneva, Lyon and London, Zurich and Amsterdam, Zurich and Vilnius, Amsterdam and Lyon, Amsterdam and Geneva, Amsterdam and London, Zurich and London, Vilnius and Amsterdam, Zurich and Geneva.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 6 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You have to attend a workshop in London between day 11 and day 13. You plan to stay in Lyon for 3 days. You plan to visit relatives in Lyon between day 9 and day 11. You want to spend 5 days in Amsterdam. You would like to visit Zurich for 2 days. You would like to visit Geneva for 2 days. You would like to visit Vilnius for 4 days. During day 2 and day 5, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nfrom London to Geneva, from Lyon to London, from Zurich to Amsterdam, from Zurich to Vilnius, from Amsterdam to Lyon, from Amsterdam to Geneva, from Amsterdam to London, from Zurich to London, from Vilnius to Amsterdam, from Zurich to Geneva.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 6 European cities for 14 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to London.\n**Day 11-13:** Visit London for 3 days.\n**Day 13:** Fly from London to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_799",
    "estimated_output_tokens": 1606,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Amsterdam, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 2 - 5.\n* City: Lyon, Fixed Schedule: Day 9 - 11.\n* City: London, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Zurich, Geneva] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 5).\n |- The departure day of Amsterdam is Day 5. The arrival day of Vilnius is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 5).\n |- The departure day of Zurich is Day 2. The arrival day of Vilnius is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Zurich to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 9 - 11).\n   |- The departure day of Vilnius is Day 5. The arrival day of Lyon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Geneva] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Zurich, Vilnius, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Amsterdam to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: London (Day 11 - 13).\n       |- The departure day of Lyon is Day 11. The arrival day of London is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Vilnius, Amsterdam, Lyon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: London.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lyon to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Zurich, Vilnius, Amsterdam, Lyon, London].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from London to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Zurich, Vilnius, Amsterdam, Lyon, London, Geneva].\n            |- All 6 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to London.\n**Day 11-13:** Visit London for 3 days.\n**Day 13:** Fly from London to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Budapest**Rome**Athens**Copenhagen**Barcelona**Seville",
    "ground_truth_durations": "4**5**5**4**4**3**5",
    "num_cities": 7,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Rome"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Budapest",
        "Barcelona"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Hamburg",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You plan to stay in Copenhagen for 4 days. From day 15 to day 18, there is a annual show you want to attend in Copenhagen. You want to spend 5 days in Budapest. You are going to attend a wedding in Budapest between day 4 and day 8. You would like to visit Rome for 5 days. You plan to visit relatives in Rome between day 8 and day 12. You would like to visit Barcelona for 3 days. You plan to stay in Hamburg for 4 days. You plan to stay in Seville for 5 days.\n\nHere are the cities that have direct flights:\nHamburg and Copenhagen, Athens and Copenhagen, Budapest and Rome, Hamburg and Barcelona, Athens and Barcelona, Budapest and Barcelona, Rome and Barcelona, Rome and Copenhagen, Rome and Athens, Budapest and Copenhagen, Copenhagen and Barcelona, Rome and Seville, Hamburg and Athens, Barcelona and Seville, Hamburg and Rome, Hamburg and Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You plan to stay in Copenhagen for 4 days. From day 15 to day 18, there is a annual show you want to attend in Copenhagen. You want to spend 5 days in Budapest. You are going to attend a wedding in Budapest between day 4 and day 8. You would like to visit Rome for 5 days. You plan to visit relatives in Rome between day 8 and day 12. You would like to visit Barcelona for 3 days. You plan to stay in Hamburg for 4 days. You plan to stay in Seville for 5 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Copenhagen, from Athens to Copenhagen, from Budapest to Rome, from Hamburg to Barcelona, from Athens to Barcelona, from Budapest to Barcelona, from Rome to Barcelona, from Rome to Copenhagen, from Rome to Athens, from Budapest to Copenhagen, from Copenhagen to Barcelona, from Rome to Seville, from Hamburg to Athens, from Barcelona to Seville, from Hamburg to Rome, from Hamburg to Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 24 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Copenhagen.\n**Day 15-18:** Visit Copenhagen for 4 days.\n**Day 18:** Fly from Copenhagen to Barcelona.\n**Day 18-20:** Visit Barcelona for 3 days.\n**Day 20:** Fly from Barcelona to Seville.\n**Day 20-24:** Visit Seville for 5 days.",
    "id": "trip_planning_example_800",
    "estimated_output_tokens": 2331,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Barcelona, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n* City: Seville, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 4 - 8.\n* City: Rome, Fixed Schedule: Day 8 - 12.\n* City: Copenhagen, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Barcelona, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Barcelona, Hamburg, Seville] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 8).\n |- The departure day of Athens is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 8).\n |- The departure day of Barcelona is Day 3. The arrival day of Budapest is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Hamburg, Seville] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Barcelona to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Barcelona to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Barcelona to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 4 - 8).\n   |- The departure day of Seville is Day 7. The arrival day of Budapest is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 8).\n |- The departure day of Hamburg is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 8 - 12).\n   |- The departure day of Budapest is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Budapest to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 15 - 18).\n     |- The departure day of Rome is Day 12. The arrival day of Copenhagen is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Hamburg, Budapest, Rome].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Barcelona, Seville] and explore these options in order.\n       |- Try arranging to visit Athens from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Rome to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Copenhagen (Day 15 - 18).\n       |- The departure day of Athens is Day 15. The arrival day of Copenhagen is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Hamburg, Budapest, Rome, Athens].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Athens to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Hamburg, Budapest, Rome, Athens, Copenhagen].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona, Seville] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Copenhagen to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Hamburg, Budapest, Rome, Athens, Copenhagen, Barcelona].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Barcelona to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Hamburg, Budapest, Rome, Athens, Copenhagen, Barcelona, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Copenhagen.\n**Day 15-18:** Visit Copenhagen for 4 days.\n**Day 18:** Fly from Copenhagen to Barcelona.\n**Day 18-20:** Visit Barcelona for 3 days.\n**Day 20:** Fly from Barcelona to Seville.\n**Day 20-24:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Dubrovnik**Stockholm**Hamburg**Bucharest**Istanbul**Porto",
    "ground_truth_durations": "4**5**3**5**2**5**5",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Hamburg",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 5 days. You plan to stay in Stockholm for 3 days. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 15 and day 19 to tour together. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Bucharest. You have to attend a workshop in Bucharest between day 14 and day 15. You would like to visit Geneva for 4 days. From day 1 to day 4, there is a annual show you want to attend in Geneva. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nGeneva and Istanbul, from Dubrovnik to Istanbul, Geneva and Dubrovnik, Stockholm and Hamburg, Hamburg and Istanbul, from Hamburg to Geneva, Istanbul and Porto, Geneva and Stockholm, Dubrovnik and Stockholm, Bucharest and Istanbul, Geneva and Porto, Stockholm and Istanbul, Hamburg and Porto, Hamburg and Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 5 days. You plan to stay in Stockholm for 3 days. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 15 and day 19 to tour together. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Bucharest. You have to attend a workshop in Bucharest between day 14 and day 15. You would like to visit Geneva for 4 days. From day 1 to day 4, there is a annual show you want to attend in Geneva. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Geneva to Istanbul, from Dubrovnik to Istanbul, from Geneva to Dubrovnik, from Stockholm to Hamburg, from Hamburg to Istanbul, from Hamburg to Geneva, from Istanbul to Porto, from Geneva to Stockholm, from Dubrovnik to Stockholm, from Bucharest to Istanbul, from Geneva to Porto, from Stockholm to Istanbul, from Hamburg to Porto, from Hamburg to Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Hamburg.\n**Day 10-14:** Visit Hamburg for 5 days.\n**Day 14:** Fly from Hamburg to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Istanbul.\n**Day 15-19:** Visit Istanbul for 5 days.\n**Day 19:** Fly from Istanbul to Porto.\n**Day 19-23:** Visit Porto for 5 days.",
    "id": "trip_planning_example_801",
    "estimated_output_tokens": 2680,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 5 days.\n* City: Stockholm, Duration: 3 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Dubrovnik, Duration: 5 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Fixed Schedule: Day 14 - 15.\n* City: Istanbul, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Stockholm, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 14 - 15).\n |- The departure day of Geneva is Day 4. The arrival day of Bucharest is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Stockholm, Dubrovnik, Porto] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 14 - 15).\n   |- The departure day of Stockholm is Day 6. The arrival day of Bucharest is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik, Porto] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 14 - 15).\n     |- The departure day of Hamburg is Day 10. The arrival day of Bucharest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Geneva, Stockholm, Hamburg].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Hamburg to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Hamburg to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 14 - 15).\n       |- The departure day of Porto is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Stockholm, Hamburg, Porto].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Porto to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 14 - 15).\n   |- The departure day of Dubrovnik is Day 8. The arrival day of Bucharest is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Geneva, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Stockholm, Porto] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Dubrovnik to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Dubrovnik to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 14 - 15).\n     |- The departure day of Stockholm is Day 10. The arrival day of Bucharest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Geneva, Dubrovnik, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Porto] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stockholm to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 14 - 15).\n       |- The departure day of Hamburg is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Dubrovnik, Stockholm, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Istanbul (Day 15 - 19).\n         |- The departure day of Bucharest is Day 15. The arrival day of Istanbul is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Dubrovnik, Stockholm, Hamburg, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Dubrovnik, Stockholm, Hamburg, Bucharest, Istanbul].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Istanbul to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Geneva, Dubrovnik, Stockholm, Hamburg, Bucharest, Istanbul, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Hamburg.\n**Day 10-14:** Visit Hamburg for 5 days.\n**Day 14:** Fly from Hamburg to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Istanbul.\n**Day 15-19:** Visit Istanbul for 5 days.\n**Day 19:** Fly from Istanbul to Porto.\n**Day 19-23:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Madrid**London**Hamburg**Lisbon**Riga**Tallinn",
    "ground_truth_durations": "3**3**4**4**4**2**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "London",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 4 days. You would like to meet your friends at London between day 5 and day 8 to tour together. You plan to stay in Florence for 3 days. During day 1 and day 3, you have to attend a conference in Florence. You plan to stay in Hamburg for 4 days. You plan to stay in Lisbon for 4 days. You plan to stay in Tallinn for 4 days. From day 15 to day 18, there is a annual show you want to attend in Tallinn. You would like to visit Riga for 2 days. You want to spend 3 days in Madrid.\n\nHere are the cities that have direct flights:\nMadrid and Lisbon, from Riga to Tallinn, Madrid and London, Florence and Lisbon, Florence and Madrid, from Riga to Hamburg, Florence and London, Madrid and Hamburg, Hamburg and Lisbon, London and Hamburg, Lisbon and Riga, London and Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit London for 4 days. You would like to meet your friends at London between day 5 and day 8 to tour together. You plan to stay in Florence for 3 days. During day 1 and day 3, you have to attend a conference in Florence. You plan to stay in Hamburg for 4 days. You plan to stay in Lisbon for 4 days. You plan to stay in Tallinn for 4 days. From day 15 to day 18, there is a annual show you want to attend in Tallinn. You would like to visit Riga for 2 days. You want to spend 3 days in Madrid.\n\nHere are the cities that have direct flights:\nfrom Madrid to Lisbon, from Riga to Tallinn, from Madrid to London, from Florence to Lisbon, from Florence to Madrid, from Riga to Hamburg, from Florence to London, from Madrid to Hamburg, from Hamburg to Lisbon, from London to Hamburg, from Lisbon to Riga, from London to Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Hamburg.\n**Day 8-11:** Visit Hamburg for 4 days.\n**Day 11:** Fly from Hamburg to Lisbon.\n**Day 11-14:** Visit Lisbon for 4 days.\n**Day 14:** Fly from Lisbon to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_802",
    "estimated_output_tokens": 1975,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Riga, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Florence is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Lisbon, Riga, Madrid] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 5 - 8).\n   |- The departure day of Lisbon is Day 6. The arrival day of London is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 5 - 8).\n   |- The departure day of Madrid is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n     |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 15 - 18).\n     |- The departure day of London is Day 8. The arrival day of Tallinn is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Madrid, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Lisbon, Riga] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from London to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 15 - 18).\n       |- The departure day of Hamburg is Day 11. The arrival day of Tallinn is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Madrid, London, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Riga] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Hamburg to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 15 - 18).\n         |- The departure day of Lisbon is Day 14. The arrival day of Tallinn is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Madrid, London, Hamburg, Lisbon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Lisbon to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 15 - 18).\n           |- The departure day of Riga is Day 15. The arrival day of Tallinn is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Florence, Madrid, London, Hamburg, Lisbon, Riga].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Riga to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Florence, Madrid, London, Hamburg, Lisbon, Riga, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Hamburg.\n**Day 8-11:** Visit Hamburg for 4 days.\n**Day 11:** Fly from Hamburg to Lisbon.\n**Day 11-14:** Visit Lisbon for 4 days.\n**Day 14:** Fly from Lisbon to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Venice**Dublin**Split**Stockholm**Riga**Manchester",
    "ground_truth_durations": "2**4**5**2**5**4**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 17,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Venice",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You want to spend 2 days in Split. You would like to visit Vienna for 2 days. From day 1 to day 2, there is a annual show you want to attend in Vienna. You would like to visit Venice for 4 days. You plan to stay in Dublin for 5 days. You plan to stay in Stockholm for 5 days. You want to meet a friend in Stockholm between day 10 and day 14. You would like to visit Manchester for 3 days. You have to attend a workshop in Manchester between day 17 and day 19.\n\nHere are the cities that have direct flights:\nVienna and Manchester, Dublin and Stockholm, Dublin and Riga, from Manchester to Split, Vienna and Stockholm, Vienna and Venice, Venice and Dublin, Vienna and Riga, Dublin and Manchester, Stockholm and Manchester, Stockholm and Riga, Dublin and Split, Vienna and Dublin, Vienna and Split, Split and Stockholm, Riga and Manchester, Venice and Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You want to spend 2 days in Split. You would like to visit Vienna for 2 days. From day 1 to day 2, there is a annual show you want to attend in Vienna. You would like to visit Venice for 4 days. You plan to stay in Dublin for 5 days. You plan to stay in Stockholm for 5 days. You want to meet a friend in Stockholm between day 10 and day 14. You would like to visit Manchester for 3 days. You have to attend a workshop in Manchester between day 17 and day 19.\n\nHere are the cities that have direct flights:\nfrom Vienna to Manchester, from Dublin to Stockholm, from Dublin to Riga, from Manchester to Split, from Vienna to Stockholm, from Vienna to Venice, from Venice to Dublin, from Vienna to Riga, from Dublin to Manchester, from Stockholm to Manchester, from Stockholm to Riga, from Dublin to Split, from Vienna to Dublin, from Vienna to Split, from Split to Stockholm, from Riga to Manchester, from Venice to Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_803",
    "estimated_output_tokens": 2662,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 5 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 10 - 14.\n* City: Manchester, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 10 - 14).\n |- The departure day of Vienna is Day 2. The arrival day of Stockholm is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Split, Venice, Dublin] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 10 - 14).\n   |- The departure day of Riga is Day 5. The arrival day of Stockholm is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Venice, Dublin] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Riga to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vienna to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 10 - 14).\n   |- The departure day of Split is Day 3. The arrival day of Stockholm is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vienna, Split].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Dublin] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Split to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Split to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Split to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 10 - 14).\n   |- The departure day of Venice is Day 5. The arrival day of Stockholm is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Split, Dublin] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 10 - 14).\n     |- The departure day of Dublin is Day 9. The arrival day of Stockholm is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vienna, Venice, Dublin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Split] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Dublin to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 10 - 14).\n       |- The departure day of Riga is Day 12. The arrival day of Stockholm is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dublin to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 10 - 14).\n       |- The departure day of Split is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Venice, Dublin, Split].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Split to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 17 - 19).\n         |- The departure day of Stockholm is Day 14. The arrival day of Manchester is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Venice, Dublin, Split, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Stockholm to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 17 - 19).\n           |- The departure day of Riga is Day 17. The arrival day of Manchester is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vienna, Venice, Dublin, Split, Stockholm, Riga].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Manchester.\n             |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Riga to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vienna, Venice, Dublin, Split, Stockholm, Riga, Manchester].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Edinburgh**Amsterdam**Porto**Lyon**Madrid**Mykonos",
    "ground_truth_durations": "5**2**2**3**3**5**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Madrid",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You plan to stay in Seville for 5 days. You are going to attend a wedding in Seville between day 1 and day 5. You would like to visit Madrid for 5 days. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 7 and day 9. You plan to stay in Amsterdam for 2 days. You want to meet a friend in Amsterdam between day 6 and day 7. You would like to visit Lyon for 3 days. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Lyon, Seville and Amsterdam, Amsterdam and Mykonos, Amsterdam and Porto, Lyon and Madrid, Edinburgh and Madrid, Seville and Madrid, Seville and Porto, Seville and Edinburgh, Edinburgh and Porto, Edinburgh and Amsterdam, Porto and Lyon, Amsterdam and Madrid, Porto and Madrid, Madrid and Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You plan to stay in Seville for 5 days. You are going to attend a wedding in Seville between day 1 and day 5. You would like to visit Madrid for 5 days. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 7 and day 9. You plan to stay in Amsterdam for 2 days. You want to meet a friend in Amsterdam between day 6 and day 7. You would like to visit Lyon for 3 days. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Lyon, from Seville to Amsterdam, from Amsterdam to Mykonos, from Amsterdam to Porto, from Lyon to Madrid, from Edinburgh to Madrid, from Seville to Madrid, from Seville to Porto, from Seville to Edinburgh, from Edinburgh to Porto, from Edinburgh to Amsterdam, from Porto to Lyon, from Amsterdam to Madrid, from Porto to Madrid, from Madrid to Mykonos.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Porto.\n**Day 7-9:** Visit Porto for 3 days.\n**Day 9:** Fly from Porto to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Madrid.\n**Day 11-15:** Visit Madrid for 5 days.\n**Day 15:** Fly from Madrid to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_804",
    "estimated_output_tokens": 2119,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Duration: 5 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Lyon, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 6 - 7.\n* City: Porto, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Madrid, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 6 - 7).\n |- The departure day of Seville is Day 5. The arrival day of Amsterdam is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Madrid, Lyon, Mykonos] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 6 - 7).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Amsterdam is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Edinburgh to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 7 - 9).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Porto is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Seville, Edinburgh, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Seville, Edinburgh, Amsterdam, Porto].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon, Mykonos] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Porto to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Seville, Edinburgh, Amsterdam, Porto, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Madrid to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Madrid to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Edinburgh, Amsterdam, Porto, Madrid, Mykonos].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Mykonos to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Porto to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Seville, Edinburgh, Amsterdam, Porto, Lyon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Mykonos] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Lyon to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Seville, Edinburgh, Amsterdam, Porto, Lyon, Madrid].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Madrid to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Seville, Edinburgh, Amsterdam, Porto, Lyon, Madrid, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Edinburgh.\n**Day 5-6:** Visit Edinburgh for 2 days.\n**Day 6:** Fly from Edinburgh to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Porto.\n**Day 7-9:** Visit Porto for 3 days.\n**Day 9:** Fly from Porto to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Madrid.\n**Day 11-15:** Visit Madrid for 5 days.\n**Day 15:** Fly from Madrid to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Copenhagen**Edinburgh**Stuttgart**Warsaw**Madrid**Nice",
    "ground_truth_durations": "3**3**3**4**3**3**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Tallinn. You plan to stay in Edinburgh for 3 days. From day 5 to day 7, there is a annual show you want to attend in Edinburgh. You want to spend 3 days in Copenhagen. You plan to stay in Stuttgart for 4 days. You plan to stay in Warsaw for 3 days. You want to spend 2 days in Nice. You plan to stay in Madrid for 3 days. You are going to attend a wedding in Madrid between day 12 and day 14.\n\nHere are the cities that have direct flights:\nWarsaw and Nice, Edinburgh and Nice, Edinburgh and Madrid, Copenhagen and Stuttgart, Copenhagen and Madrid, Madrid and Nice, Copenhagen and Edinburgh, Copenhagen and Warsaw, Tallinn and Warsaw, Copenhagen and Nice, Stuttgart and Warsaw, Tallinn and Copenhagen, Edinburgh and Stuttgart, Warsaw and Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Tallinn. You plan to stay in Edinburgh for 3 days. From day 5 to day 7, there is a annual show you want to attend in Edinburgh. You want to spend 3 days in Copenhagen. You plan to stay in Stuttgart for 4 days. You plan to stay in Warsaw for 3 days. You want to spend 2 days in Nice. You plan to stay in Madrid for 3 days. You are going to attend a wedding in Madrid between day 12 and day 14.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Nice, from Edinburgh to Nice, from Edinburgh to Madrid, from Copenhagen to Stuttgart, from Copenhagen to Madrid, from Madrid to Nice, from Copenhagen to Edinburgh, from Copenhagen to Warsaw, from Tallinn to Warsaw, from Copenhagen to Nice, from Stuttgart to Warsaw, from Tallinn to Copenhagen, from Edinburgh to Stuttgart, from Warsaw to Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Copenhagen.\n**Day 3-5:** Visit Copenhagen for 3 days.\n**Day 5:** Fly from Copenhagen to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-10:** Visit Stuttgart for 4 days.\n**Day 10:** Fly from Stuttgart to Warsaw.\n**Day 10-12:** Visit Warsaw for 3 days.\n**Day 12:** Fly from Warsaw to Madrid.\n**Day 12-14:** Visit Madrid for 3 days.\n**Day 14:** Fly from Madrid to Nice.\n**Day 14-15:** Visit Nice for 2 days.",
    "id": "trip_planning_example_805",
    "estimated_output_tokens": 1715,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Warsaw, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 5 - 7.\n* City: Madrid, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Warsaw, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Stuttgart, Warsaw, Nice] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 7).\n |- The departure day of Tallinn is Day 3. The arrival day of Edinburgh is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Stuttgart, Warsaw, Nice] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Edinburgh (Day 5 - 7).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 12 - 14).\n     |- The departure day of Edinburgh is Day 7. The arrival day of Madrid is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Copenhagen, Edinburgh].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Warsaw, Nice] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Edinburgh to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 12 - 14).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Madrid is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Copenhagen, Edinburgh, Stuttgart].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Nice] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stuttgart to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 14).\n         |- The departure day of Warsaw is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Tallinn, Copenhagen, Edinburgh, Stuttgart, Warsaw].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Warsaw to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Copenhagen, Edinburgh, Stuttgart, Warsaw, Madrid].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n             |- Try arranging to visit Nice from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Madrid to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Tallinn, Copenhagen, Edinburgh, Stuttgart, Warsaw, Madrid, Nice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Copenhagen.\n**Day 3-5:** Visit Copenhagen for 3 days.\n**Day 5:** Fly from Copenhagen to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-10:** Visit Stuttgart for 4 days.\n**Day 10:** Fly from Stuttgart to Warsaw.\n**Day 10-12:** Visit Warsaw for 3 days.\n**Day 12:** Fly from Warsaw to Madrid.\n**Day 12-14:** Visit Madrid for 3 days.\n**Day 14:** Fly from Madrid to Nice.\n**Day 14-15:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Riga**Brussels**Florence**London**Zurich**Geneva",
    "ground_truth_durations": "4**5**5**5**3**5**2",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Geneva"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Manchester",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Geneva. You plan to stay in Florence for 5 days. During day 12 and day 16, you have to attend a conference in Florence. You would like to visit Riga for 5 days. From day 4 to day 8, there is a annual show you want to attend in Riga. You would like to visit Zurich for 5 days. You have to attend a workshop in Zurich between day 18 and day 22. You would like to visit Manchester for 4 days. You plan to stay in Brussels for 5 days. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nLondon and Geneva, London and Zurich, Zurich and Geneva, Manchester and Brussels, Florence and London, Brussels and Zurich, Brussels and London, Manchester and Zurich, Brussels and Florence, Manchester and Geneva, Riga and Zurich, Brussels and Geneva, from Zurich to Florence, Riga and Brussels, Manchester and London, Manchester and Riga.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Geneva. You plan to stay in Florence for 5 days. During day 12 and day 16, you have to attend a conference in Florence. You would like to visit Riga for 5 days. From day 4 to day 8, there is a annual show you want to attend in Riga. You would like to visit Zurich for 5 days. You have to attend a workshop in Zurich between day 18 and day 22. You would like to visit Manchester for 4 days. You plan to stay in Brussels for 5 days. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nfrom London to Geneva, from London to Zurich, from Zurich to Geneva, from Manchester to Brussels, from Florence to London, from Brussels to Zurich, from Brussels to London, from Manchester to Zurich, from Brussels to Florence, from Manchester to Geneva, from Riga to Zurich, from Brussels to Geneva, from Zurich to Florence, from Riga to Brussels, from Manchester to London, from Manchester to Riga.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Riga.\n**Day 4-8:** Visit Riga for 5 days.\n**Day 8:** Fly from Riga to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Florence.\n**Day 12-16:** Visit Florence for 5 days.\n**Day 16:** Fly from Florence to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Geneva.\n**Day 22-23:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_806",
    "estimated_output_tokens": 2149,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 2 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Manchester, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 4 - 8.\n* City: Florence, Fixed Schedule: Day 12 - 16.\n* City: Zurich, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Geneva, Duration: 2 days.\n* City: Manchester, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Manchester, Brussels, London] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 8).\n |- The departure day of Geneva is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Brussels, London] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 8).\n |- The departure day of Manchester is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 12 - 16).\n   |- The departure day of Riga is Day 8. The arrival day of Florence is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Riga].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Brussels, London] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Riga to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Riga to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 12 - 16).\n     |- The departure day of Brussels is Day 12. The arrival day of Florence is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Manchester, Riga, Brussels].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Brussels to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Zurich (Day 18 - 22).\n       |- The departure day of Florence is Day 16. The arrival day of Zurich is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Manchester, Riga, Brussels, Florence].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, London] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Florence to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Florence to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Zurich (Day 18 - 22).\n         |- The departure day of London is Day 18. The arrival day of Zurich is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Manchester, Riga, Brussels, Florence, London].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Zurich.\n           |- Try arranging to visit Zurich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from London to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Manchester, Riga, Brussels, Florence, London, Zurich].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Zurich to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Manchester, Riga, Brussels, Florence, London, Zurich, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Riga.\n**Day 4-8:** Visit Riga for 5 days.\n**Day 8:** Fly from Riga to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Florence.\n**Day 12-16:** Visit Florence for 5 days.\n**Day 16:** Fly from Florence to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Geneva.\n**Day 22-23:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Rome**Mykonos**Vienna**Valencia**Copenhagen**Tallinn",
    "ground_truth_durations": "5**3**3**3**2**2**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Rome"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 5 days. You plan to stay in Valencia for 2 days. You would like to visit Copenhagen for 2 days. From day 12 to day 13, there is a annual show you want to attend in Copenhagen. You want to spend 3 days in Rome. You want to meet a friend in Rome between day 5 and day 7. You want to spend 3 days in Mykonos. You plan to visit relatives in Mykonos between day 7 and day 9. You would like to visit Tallinn for 4 days. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nMykonos and Vienna, Rome and Vienna, Rome and Copenhagen, Rome and Mykonos, Vienna and Valencia, Copenhagen and Tallinn, Rome and Valencia, Valencia and Copenhagen, Vienna and Copenhagen, Edinburgh and Rome, Edinburgh and Copenhagen.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 5 days. You plan to stay in Valencia for 2 days. You would like to visit Copenhagen for 2 days. From day 12 to day 13, there is a annual show you want to attend in Copenhagen. You want to spend 3 days in Rome. You want to meet a friend in Rome between day 5 and day 7. You want to spend 3 days in Mykonos. You plan to visit relatives in Mykonos between day 7 and day 9. You would like to visit Tallinn for 4 days. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Vienna, from Rome to Vienna, from Rome to Copenhagen, from Rome to Mykonos, from Vienna to Valencia, from Copenhagen to Tallinn, from Rome to Valencia, from Valencia to Copenhagen, from Vienna to Copenhagen, from Edinburgh to Rome, from Edinburgh to Copenhagen.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Mykonos.\n**Day 7-9:** Visit Mykonos for 3 days.\n**Day 9:** Fly from Mykonos to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Copenhagen.\n**Day 12-13:** Visit Copenhagen for 2 days.\n**Day 13:** Fly from Copenhagen to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_807",
    "estimated_output_tokens": 1845,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Tallinn, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 5 - 7.\n* City: Mykonos, Fixed Schedule: Day 7 - 9.\n* City: Copenhagen, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Valencia, Tallinn, Vienna] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 7).\n |- The departure day of Edinburgh is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 7 - 9).\n   |- The departure day of Rome is Day 7. The arrival day of Mykonos is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 12 - 13).\n     |- The departure day of Mykonos is Day 9. The arrival day of Copenhagen is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Edinburgh, Rome, Mykonos].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Vienna] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Mykonos to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Mykonos to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Mykonos to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 12 - 13).\n       |- The departure day of Vienna is Day 11. The arrival day of Copenhagen is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Rome, Mykonos, Vienna].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vienna to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 12 - 13).\n         |- The departure day of Valencia is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Edinburgh, Rome, Mykonos, Vienna, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Valencia to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Edinburgh, Rome, Mykonos, Vienna, Valencia, Copenhagen].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Copenhagen to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Edinburgh, Rome, Mykonos, Vienna, Valencia, Copenhagen, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Mykonos.\n**Day 7-9:** Visit Mykonos for 3 days.\n**Day 9:** Fly from Mykonos to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Copenhagen.\n**Day 12-13:** Visit Copenhagen for 2 days.\n**Day 13:** Fly from Copenhagen to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Prague**Lyon**Frankfurt**Berlin**Munich**Mykonos",
    "ground_truth_durations": "4**5**2**5**2**5**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Lyon",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. You would like to meet your friends at Prague between day 4 and day 8 to tour together. You plan to stay in Lyon for 2 days. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 14 and day 18. You plan to stay in Mykonos for 3 days. You plan to stay in Berlin for 2 days. You plan to stay in Bucharest for 4 days. From day 1 to day 4, there is a annual show you want to attend in Bucharest. You would like to visit Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nBucharest and Frankfurt, Frankfurt and Munich, Prague and Frankfurt, Lyon and Frankfurt, Bucharest and Lyon, Bucharest and Prague, Prague and Lyon, Berlin and Munich, Frankfurt and Berlin, Bucharest and Munich, Prague and Munich, Munich and Mykonos, Lyon and Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. You would like to meet your friends at Prague between day 4 and day 8 to tour together. You plan to stay in Lyon for 2 days. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 14 and day 18. You plan to stay in Mykonos for 3 days. You plan to stay in Berlin for 2 days. You plan to stay in Bucharest for 4 days. From day 1 to day 4, there is a annual show you want to attend in Bucharest. You would like to visit Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Frankfurt, from Frankfurt to Munich, from Prague to Frankfurt, from Lyon to Frankfurt, from Bucharest to Lyon, from Bucharest to Prague, from Prague to Lyon, from Berlin to Munich, from Frankfurt to Berlin, from Bucharest to Munich, from Prague to Munich, from Munich to Mykonos, from Lyon to Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-8:** Visit Prague for 5 days.\n**Day 8:** Fly from Prague to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Frankfurt.\n**Day 9-13:** Visit Frankfurt for 5 days.\n**Day 13:** Fly from Frankfurt to Berlin.\n**Day 13-14:** Visit Berlin for 2 days.\n**Day 14:** Fly from Berlin to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_808",
    "estimated_output_tokens": 1884,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Lyon, Duration: 2 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Mykonos, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 4 - 8.\n* City: Munich, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 8).\n |- The departure day of Bucharest is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Bucharest to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 14 - 18).\n   |- The departure day of Prague is Day 8. The arrival day of Munich is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Berlin, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 14 - 18).\n     |- The departure day of Lyon is Day 9. The arrival day of Munich is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Prague, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lyon to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lyon to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 14 - 18).\n       |- The departure day of Frankfurt is Day 13. The arrival day of Munich is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Bucharest, Prague, Lyon, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Frankfurt to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Frankfurt to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Munich (Day 14 - 18).\n         |- The departure day of Berlin is Day 14. The arrival day of Munich is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Prague, Lyon, Frankfurt, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Berlin to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Prague, Lyon, Frankfurt, Berlin, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Munich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Bucharest, Prague, Lyon, Frankfurt, Berlin, Munich, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Prague.\n**Day 4-8:** Visit Prague for 5 days.\n**Day 8:** Fly from Prague to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Frankfurt.\n**Day 9-13:** Visit Frankfurt for 5 days.\n**Day 13:** Fly from Frankfurt to Berlin.\n**Day 13-14:** Visit Berlin for 2 days.\n**Day 14:** Fly from Berlin to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Rome**Venice**Lyon**Porto**Manchester**Riga",
    "ground_truth_durations": "5**5**2**4**5**4**3",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Manchester",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 5 days. You want to spend 5 days in Porto. You would like to meet your friends at Porto between day 13 and day 17 to tour together. You would like to visit Venice for 2 days. From day 9 to day 10, there is a annual show you want to attend in Venice. You want to spend 5 days in Rome. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 20 and day 22. You plan to stay in Manchester for 4 days. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nMykonos and Rome, Venice and Manchester, Rome and Manchester, Porto and Manchester, Venice and Lyon, Lyon and Porto, Rome and Venice, from Rome to Riga, Rome and Lyon, Manchester and Riga.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 5 days. You want to spend 5 days in Porto. You would like to meet your friends at Porto between day 13 and day 17 to tour together. You would like to visit Venice for 2 days. From day 9 to day 10, there is a annual show you want to attend in Venice. You want to spend 5 days in Rome. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 20 and day 22. You plan to stay in Manchester for 4 days. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Rome, from Venice to Manchester, from Rome to Manchester, from Porto to Manchester, from Venice to Lyon, from Lyon to Porto, from Rome to Venice, from Rome to Riga, from Rome to Lyon, from Manchester to Riga.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Venice.\n**Day 9-10:** Visit Venice for 2 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Riga.\n**Day 20-22:** Visit Riga for 3 days.",
    "id": "trip_planning_example_809",
    "estimated_output_tokens": 2028,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Rome, Duration: 5 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Manchester, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 9 - 10.\n* City: Porto, Fixed Schedule: Day 13 - 17.\n* City: Riga, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Rome, Manchester, Lyon] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 9 - 10).\n |- The departure day of Mykonos is Day 5. The arrival day of Venice is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Manchester, Lyon] and explore these options in order.\n   |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 9 - 10).\n   |- The departure day of Rome is Day 9. The arrival day of Venice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Mykonos, Rome].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Rome to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 13 - 17).\n     |- The departure day of Venice is Day 10. The arrival day of Porto is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Rome, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 13 - 17).\n       |- The departure day of Manchester is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Rome, Venice, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Manchester to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 13 - 17).\n       |- The departure day of Lyon is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Rome, Venice, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lyon to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 20 - 22).\n         |- The departure day of Porto is Day 17. The arrival day of Riga is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Rome, Venice, Lyon, Porto].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Porto to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 20 - 22).\n           |- The departure day of Manchester is Day 20. The arrival day of Riga is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Mykonos, Rome, Venice, Lyon, Porto, Manchester].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Manchester to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Mykonos, Rome, Venice, Lyon, Porto, Manchester, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Venice.\n**Day 9-10:** Visit Venice for 2 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Riga.\n**Day 20-22:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Barcelona**Lyon**Nice**Stockholm**Athens**Vilnius",
    "ground_truth_durations": "3**2**2**5**5**5**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Nice"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. During day 1 and day 3, you have to attend a conference in Berlin. You plan to stay in Nice for 5 days. You would like to visit Athens for 5 days. You would like to visit Stockholm for 5 days. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 3 and day 4. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Lyon. You are going to attend a wedding in Lyon between day 4 and day 5.\n\nHere are the cities that have direct flights:\nLyon and Nice, Stockholm and Athens, Nice and Athens, Berlin and Athens, Berlin and Nice, Berlin and Barcelona, Berlin and Vilnius, Barcelona and Nice, Athens and Vilnius, Berlin and Stockholm, Nice and Stockholm, Barcelona and Athens, Barcelona and Stockholm, Barcelona and Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. During day 1 and day 3, you have to attend a conference in Berlin. You plan to stay in Nice for 5 days. You would like to visit Athens for 5 days. You would like to visit Stockholm for 5 days. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 3 and day 4. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Lyon. You are going to attend a wedding in Lyon between day 4 and day 5.\n\nHere are the cities that have direct flights:\nfrom Lyon to Nice, from Stockholm to Athens, from Nice to Athens, from Berlin to Athens, from Berlin to Nice, from Berlin to Barcelona, from Berlin to Vilnius, from Barcelona to Nice, from Athens to Vilnius, from Berlin to Stockholm, from Nice to Stockholm, from Barcelona to Athens, from Barcelona to Stockholm, from Barcelona to Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.\n**Day 13:** Fly from Stockholm to Athens.\n**Day 13-17:** Visit Athens for 5 days.\n**Day 17:** Fly from Athens to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_810",
    "estimated_output_tokens": 2064,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Vilnius, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n* City: Barcelona, Fixed Schedule: Day 3 - 4.\n* City: Lyon, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 4).\n |- The departure day of Berlin is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 5).\n   |- The departure day of Barcelona is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Berlin, Barcelona, Lyon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Athens, Stockholm, Vilnius] and explore these options in order.\n       |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lyon to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Barcelona, Lyon, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Stockholm, Vilnius] and explore these options in order.\n         |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Nice to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Barcelona, Lyon, Nice, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Vilnius] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Athens to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Athens to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Berlin, Barcelona, Lyon, Nice, Athens, Vilnius].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Vilnius to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Nice to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Barcelona, Lyon, Nice, Stockholm].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius] and explore these options in order.\n           |- Try arranging to visit Athens from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Stockholm to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Barcelona, Lyon, Nice, Stockholm, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Athens to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, Barcelona, Lyon, Nice, Stockholm, Athens, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Barcelona.\n**Day 3-4:** Visit Barcelona for 2 days.\n**Day 4:** Fly from Barcelona to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.\n**Day 13:** Fly from Stockholm to Athens.\n**Day 13-17:** Visit Athens for 5 days.\n**Day 17:** Fly from Athens to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Reykjavik**Lisbon**Krakow**Vilnius**Amsterdam**Dubrovnik",
    "ground_truth_durations": "3**3**5**3**2**2**2",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You would like to visit Vilnius for 2 days. You want to meet a friend in Vilnius between day 11 and day 12. You want to spend 5 days in Lisbon. You would like to meet your friends at Lisbon between day 5 and day 9 to tour together. You want to spend 3 days in Rome. You are going to attend a wedding in Rome between day 1 and day 3. You plan to stay in Reykjavik for 3 days. You plan to stay in Dubrovnik for 2 days. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nRome and Dubrovnik, Reykjavik and Amsterdam, Krakow and Amsterdam, from Krakow to Vilnius, Rome and Amsterdam, Amsterdam and Dubrovnik, Rome and Reykjavik, Rome and Lisbon, Lisbon and Amsterdam, Lisbon and Krakow, Vilnius and Amsterdam, Reykjavik and Lisbon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You would like to visit Vilnius for 2 days. You want to meet a friend in Vilnius between day 11 and day 12. You want to spend 5 days in Lisbon. You would like to meet your friends at Lisbon between day 5 and day 9 to tour together. You want to spend 3 days in Rome. You are going to attend a wedding in Rome between day 1 and day 3. You plan to stay in Reykjavik for 3 days. You plan to stay in Dubrovnik for 2 days. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Rome to Dubrovnik, from Reykjavik to Amsterdam, from Krakow to Amsterdam, from Krakow to Vilnius, from Rome to Amsterdam, from Amsterdam to Dubrovnik, from Rome to Reykjavik, from Rome to Lisbon, from Lisbon to Amsterdam, from Lisbon to Krakow, from Vilnius to Amsterdam, from Reykjavik to Lisbon.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Reykjavik.\n**Day 3-5:** Visit Reykjavik for 3 days.\n**Day 5:** Fly from Reykjavik to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Amsterdam.\n**Day 12-13:** Visit Amsterdam for 2 days.\n**Day 13:** Fly from Amsterdam to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_811",
    "estimated_output_tokens": 1881,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Reykjavik, Duration: 3 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 9).\n |- The departure day of Rome is Day 3. The arrival day of Lisbon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Reykjavik, Dubrovnik, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Rome to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Rome to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 5 - 9).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Rome, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Reykjavik to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 11 - 12).\n     |- The departure day of Lisbon is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Reykjavik, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Dubrovnik, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 12).\n       |- The departure day of Krakow is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Reykjavik, Lisbon, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Rome, Reykjavik, Lisbon, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Rome, Reykjavik, Lisbon, Krakow, Vilnius, Amsterdam].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Rome, Reykjavik, Lisbon, Krakow, Vilnius, Amsterdam, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Reykjavik.\n**Day 3-5:** Visit Reykjavik for 3 days.\n**Day 5:** Fly from Reykjavik to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Amsterdam.\n**Day 12-13:** Visit Amsterdam for 2 days.\n**Day 13:** Fly from Amsterdam to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Paris**Florence**Munich**Warsaw**Nice**Vienna",
    "ground_truth_durations": "3**5**3**5**3**5**2",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 13,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Vienna"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Porto",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 5 days. You plan to stay in Florence for 3 days. You would like to visit Vienna for 2 days. You plan to visit relatives in Vienna between day 19 and day 20. You plan to stay in Porto for 3 days. You have to attend a workshop in Porto between day 1 and day 3. You want to spend 5 days in Munich. You want to spend 5 days in Nice. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 13 and day 15.\n\nHere are the cities that have direct flights:\nFlorence and Vienna, Paris and Warsaw, Munich and Vienna, Porto and Vienna, Warsaw and Vienna, from Florence to Munich, Munich and Warsaw, Munich and Nice, Paris and Florence, Warsaw and Nice, Porto and Munich, Porto and Nice, Paris and Vienna, Nice and Vienna, Porto and Paris, Paris and Nice, Paris and Munich, Porto and Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 5 days. You plan to stay in Florence for 3 days. You would like to visit Vienna for 2 days. You plan to visit relatives in Vienna between day 19 and day 20. You plan to stay in Porto for 3 days. You have to attend a workshop in Porto between day 1 and day 3. You want to spend 5 days in Munich. You want to spend 5 days in Nice. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 13 and day 15.\n\nHere are the cities that have direct flights:\nfrom Florence to Vienna, from Paris to Warsaw, from Munich to Vienna, from Porto to Vienna, from Warsaw to Vienna, from Florence to Munich, from Munich to Warsaw, from Munich to Nice, from Paris to Florence, from Warsaw to Nice, from Porto to Munich, from Porto to Nice, from Paris to Vienna, from Nice to Vienna, from Porto to Paris, from Paris to Nice, from Paris to Munich, from Porto to Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Nice.\n**Day 15-19:** Visit Nice for 5 days.\n**Day 19:** Fly from Nice to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.",
    "id": "trip_planning_example_812",
    "estimated_output_tokens": 1737,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Munich, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 3.\n* City: Warsaw, Fixed Schedule: Day 13 - 15.\n* City: Vienna, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Paris, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 13 - 15).\n |- The departure day of Porto is Day 3. The arrival day of Warsaw is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Florence, Munich, Nice] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 13 - 15).\n   |- The departure day of Paris is Day 7. The arrival day of Warsaw is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Munich, Nice] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 13 - 15).\n     |- The departure day of Florence is Day 9. The arrival day of Warsaw is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Nice] and explore these options in order.\n       |- Try arranging to visit Munich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 13 - 15).\n       |- The departure day of Munich is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Paris, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Munich to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 19 - 20).\n         |- The departure day of Warsaw is Day 15. The arrival day of Vienna is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Paris, Florence, Munich, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n           |- Try arranging to visit Nice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vienna (Day 19 - 20).\n           |- The departure day of Nice is Day 19. The arrival day of Vienna is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Paris, Florence, Munich, Warsaw, Nice].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Nice to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Paris, Florence, Munich, Warsaw, Nice, Vienna].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Nice.\n**Day 15-19:** Visit Nice for 5 days.\n**Day 19:** Fly from Nice to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Frankfurt**Stuttgart**London**Santorini**Dublin**Seville",
    "ground_truth_durations": "3**5**3**2**2**3**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Santorini",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You would like to visit Vilnius for 3 days. You would like to visit Santorini for 2 days. You want to spend 2 days in London. You would like to meet your friends at London between day 9 and day 10 to tour together. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 7 and day 9. You want to spend 3 days in Dublin. You would like to visit Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Dublin, Frankfurt and London, London and Dublin, Vilnius and Frankfurt, Frankfurt and Stuttgart, Dublin and Seville, London and Santorini, Stuttgart and London, Santorini and Dublin.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You would like to visit Vilnius for 3 days. You would like to visit Santorini for 2 days. You want to spend 2 days in London. You would like to meet your friends at London between day 9 and day 10 to tour together. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 7 and day 9. You want to spend 3 days in Dublin. You would like to visit Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Dublin, from Frankfurt to London, from London to Dublin, from Vilnius to Frankfurt, from Frankfurt to Stuttgart, from Dublin to Seville, from London to Santorini, from Stuttgart to London, from Santorini to Dublin.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Stuttgart.\n**Day 7-9:** Visit Stuttgart for 3 days.\n**Day 9:** Fly from Stuttgart to London.\n**Day 9-10:** Visit London for 2 days.\n**Day 10:** Fly from London to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Seville.\n**Day 13-17:** Visit Seville for 5 days.",
    "id": "trip_planning_example_813",
    "estimated_output_tokens": 2353,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Dublin, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 7 - 9.\n* City: London, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Vilnius, Santorini, Dublin, Frankfurt] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 9).\n |- The departure day of Seville is Day 5. The arrival day of Stuttgart is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Santorini, Dublin, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Seville to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Seville to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 9).\n |- The departure day of Vilnius is Day 3. The arrival day of Stuttgart is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Santorini, Dublin, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vilnius to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 7 - 9).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 9 - 10).\n     |- The departure day of Stuttgart is Day 9. The arrival day of London is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Frankfurt, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: London.\n       |- Try arranging to visit London from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Stuttgart to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vilnius, Frankfurt, Stuttgart, London].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Santorini, Dublin] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from London to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from London to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vilnius, Frankfurt, Stuttgart, London, Santorini].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Dublin] and explore these options in order.\n           |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Santorini to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Santorini to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Vilnius, Frankfurt, Stuttgart, London, Santorini, Dublin].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Dublin to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Vilnius, Frankfurt, Stuttgart, London, Santorini, Dublin, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Stuttgart.\n**Day 7-9:** Visit Stuttgart for 3 days.\n**Day 9:** Fly from Stuttgart to London.\n**Day 9-10:** Visit London for 2 days.\n**Day 10:** Fly from London to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Helsinki**Amsterdam**Porto**Manchester**Berlin**Salzburg",
    "ground_truth_durations": "2**5**3**3**2**4**5",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Berlin"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Berlin",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 5 days. You have to attend a workshop in Helsinki between day 2 and day 6. You want to spend 5 days in Salzburg. You want to spend 3 days in Amsterdam. You plan to stay in Berlin for 4 days. You would like to visit Porto for 3 days. You want to spend 2 days in Riga. You plan to stay in Manchester for 2 days. During day 10 and day 11, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nRiga and Berlin, Riga and Helsinki, Helsinki and Manchester, Helsinki and Amsterdam, Amsterdam and Porto, Manchester and Berlin, Amsterdam and Manchester, Helsinki and Berlin, Riga and Amsterdam, Amsterdam and Berlin, Porto and Manchester, Porto and Berlin, Riga and Manchester, Berlin and Salzburg.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 5 days. You have to attend a workshop in Helsinki between day 2 and day 6. You want to spend 5 days in Salzburg. You want to spend 3 days in Amsterdam. You plan to stay in Berlin for 4 days. You would like to visit Porto for 3 days. You want to spend 2 days in Riga. You plan to stay in Manchester for 2 days. During day 10 and day 11, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nfrom Riga to Berlin, from Riga to Helsinki, from Helsinki to Manchester, from Helsinki to Amsterdam, from Amsterdam to Porto, from Manchester to Berlin, from Amsterdam to Manchester, from Helsinki to Berlin, from Riga to Amsterdam, from Amsterdam to Berlin, from Porto to Manchester, from Porto to Berlin, from Riga to Manchester, from Berlin to Salzburg.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Helsinki.\n**Day 2-6:** Visit Helsinki for 5 days.\n**Day 6:** Fly from Helsinki to Amsterdam.\n**Day 6-8:** Visit Amsterdam for 3 days.\n**Day 8:** Fly from Amsterdam to Porto.\n**Day 8-10:** Visit Porto for 3 days.\n**Day 10:** Fly from Porto to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Salzburg.\n**Day 14-18:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_814",
    "estimated_output_tokens": 2375,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Salzburg, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 2 - 6.\n* City: Manchester, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Amsterdam, Berlin, Porto, Riga] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Salzburg is Day 5. The arrival day of Helsinki is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Amsterdam is Day 3. The arrival day of Helsinki is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Berlin is Day 4. The arrival day of Helsinki is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Porto is Day 3. The arrival day of Helsinki is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Riga is Day 2. The arrival day of Helsinki is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Manchester (Day 10 - 11).\n   |- The departure day of Helsinki is Day 6. The arrival day of Manchester is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Amsterdam, Berlin, Porto] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 10 - 11).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Manchester is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Helsinki, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin, Porto] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Amsterdam to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 10 - 11).\n       |- The departure day of Berlin is Day 11. The arrival day of Manchester is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 10 - 11).\n       |- The departure day of Porto is Day 10. The arrival day of Manchester is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Helsinki, Amsterdam, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Porto to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Riga, Helsinki, Amsterdam, Porto, Manchester].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Manchester to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Manchester to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Riga, Helsinki, Amsterdam, Porto, Manchester, Berlin].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Berlin to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Riga, Helsinki, Amsterdam, Porto, Manchester, Berlin, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Helsinki.\n**Day 2-6:** Visit Helsinki for 5 days.\n**Day 6:** Fly from Helsinki to Amsterdam.\n**Day 6-8:** Visit Amsterdam for 3 days.\n**Day 8:** Fly from Amsterdam to Porto.\n**Day 8-10:** Visit Porto for 3 days.\n**Day 10:** Fly from Porto to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Salzburg.\n**Day 14-18:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Prague**Florence**Munich**Dubrovnik**Geneva**Santorini",
    "ground_truth_durations": "4**4**3**5**2**5**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Munich"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Munich",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 4 days. You would like to meet your friends at Prague between day 4 and day 7 to tour together. You plan to stay in Santorini for 3 days. You plan to stay in Munich for 5 days. You would like to visit Florence for 3 days. You are going to attend a wedding in Florence between day 7 and day 9. You plan to stay in Geneva for 5 days. You plan to stay in Dubrovnik for 2 days. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nHelsinki and Munich, Helsinki and Geneva, Prague and Florence, Helsinki and Dubrovnik, Munich and Geneva, from Florence to Munich, Prague and Geneva, Dubrovnik and Geneva, Prague and Munich, Geneva and Santorini, Helsinki and Prague, Munich and Dubrovnik.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 4 days. You would like to meet your friends at Prague between day 4 and day 7 to tour together. You plan to stay in Santorini for 3 days. You plan to stay in Munich for 5 days. You would like to visit Florence for 3 days. You are going to attend a wedding in Florence between day 7 and day 9. You plan to stay in Geneva for 5 days. You plan to stay in Dubrovnik for 2 days. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Munich, from Helsinki to Geneva, from Prague to Florence, from Helsinki to Dubrovnik, from Munich to Geneva, from Florence to Munich, from Prague to Geneva, from Dubrovnik to Geneva, from Prague to Munich, from Geneva to Santorini, from Helsinki to Prague, from Munich to Dubrovnik.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Geneva.\n**Day 14-18:** Visit Geneva for 5 days.\n**Day 18:** Fly from Geneva to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_815",
    "estimated_output_tokens": 3364,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Santorini, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Geneva, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 4 - 7.\n* City: Florence, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Geneva, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Munich, Geneva, Dubrovnik, Helsinki] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Santorini is Day 3. The arrival day of Prague is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Geneva, Dubrovnik, Helsinki] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Munich is Day 5. The arrival day of Prague is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Geneva is Day 5. The arrival day of Prague is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Prague is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Munich, Geneva, Helsinki] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 4 - 7).\n   |- The departure day of Geneva is Day 6. The arrival day of Prague is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Helsinki is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 7 - 9).\n   |- The departure day of Prague is Day 7. The arrival day of Florence is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Munich, Geneva, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Helsinki, Prague, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Munich to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Munich to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Helsinki, Prague, Florence, Munich, Geneva].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Geneva to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Helsinki, Prague, Florence, Munich, Geneva, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Santorini to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Geneva to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Munich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Helsinki, Prague, Florence, Munich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Dubrovnik to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Dubrovnik to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Helsinki, Prague, Florence, Munich, Dubrovnik, Geneva].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Geneva to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Helsinki, Prague, Florence, Munich, Dubrovnik, Geneva, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Helsinki and visit Helsinki for 4 days.\n**Day 4:** Fly from Helsinki to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-9:** Visit Florence for 3 days.\n**Day 9:** Fly from Florence to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Geneva.\n**Day 14-18:** Visit Geneva for 5 days.\n**Day 18:** Fly from Geneva to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Paris**Florence**London**Helsinki**Dubrovnik**Amsterdam",
    "ground_truth_durations": "2**4**5**4**2**3**5",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Helsinki"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Paris",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dubrovnik. You plan to stay in Amsterdam for 5 days. During day 15 and day 19, you have to attend a conference in Amsterdam. You plan to stay in London for 4 days. You would like to visit Porto for 2 days. You have to attend a workshop in Porto between day 1 and day 2. You want to spend 4 days in Paris. You plan to stay in Helsinki for 2 days. You plan to stay in Florence for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Helsinki, Paris and Amsterdam, Paris and Helsinki, Helsinki and Amsterdam, Porto and Amsterdam, London and Amsterdam, Paris and Florence, Florence and London, Porto and Paris, Florence and Amsterdam, Helsinki and Dubrovnik, Dubrovnik and Amsterdam, Paris and London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dubrovnik. You plan to stay in Amsterdam for 5 days. During day 15 and day 19, you have to attend a conference in Amsterdam. You plan to stay in London for 4 days. You would like to visit Porto for 2 days. You have to attend a workshop in Porto between day 1 and day 2. You want to spend 4 days in Paris. You plan to stay in Helsinki for 2 days. You plan to stay in Florence for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Helsinki, from Paris to Amsterdam, from Paris to Helsinki, from Helsinki to Amsterdam, from Porto to Amsterdam, from London to Amsterdam, from Paris to Florence, from Florence to London, from Porto to Paris, from Florence to Amsterdam, from Helsinki to Dubrovnik, from Dubrovnik to Amsterdam, from Paris to London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Paris.\n**Day 2-5:** Visit Paris for 4 days.\n**Day 5:** Fly from Paris to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Amsterdam.\n**Day 15-19:** Visit Amsterdam for 5 days.",
    "id": "trip_planning_example_816",
    "estimated_output_tokens": 3464,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: London, Duration: 4 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Paris, Duration: 4 days.\n* City: Helsinki, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: London, Duration: 4 days.\n* City: Paris, Duration: 4 days.\n* City: Helsinki, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 15 - 19).\n |- The departure day of Porto is Day 2. The arrival day of Amsterdam is Day 15. Day 2 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, London, Paris, Helsinki, Florence] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Porto to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Porto to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 15 - 19).\n   |- The departure day of Paris is Day 5. The arrival day of Amsterdam is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Paris].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, London, Helsinki, Florence] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Paris to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 15 - 19).\n     |- The departure day of London is Day 8. The arrival day of Amsterdam is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Paris, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki, Florence] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from London to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 15 - 19).\n       |- The departure day of Helsinki is Day 9. The arrival day of Amsterdam is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Paris, London, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Florence] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 15 - 19).\n         |- The departure day of Dubrovnik is Day 11. The arrival day of Amsterdam is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Paris, London, Helsinki, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Dubrovnik to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Paris to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 15 - 19).\n     |- The departure day of Helsinki is Day 6. The arrival day of Amsterdam is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Paris, Helsinki].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, London, Florence] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Helsinki to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 15 - 19).\n       |- The departure day of Dubrovnik is Day 8. The arrival day of Amsterdam is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Porto, Paris, Helsinki, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Florence] and explore these options in order.\n         |- Try arranging to visit London from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Dubrovnik to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Dubrovnik to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Helsinki to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Helsinki to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 15 - 19).\n     |- The departure day of Florence is Day 9. The arrival day of Amsterdam is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, London, Helsinki] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 15 - 19).\n       |- The departure day of London is Day 12. The arrival day of Amsterdam is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Porto, Paris, Florence, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from London to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 15 - 19).\n         |- The departure day of Helsinki is Day 13. The arrival day of Amsterdam is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Paris, Florence, London, Helsinki].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Helsinki to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Amsterdam (Day 15 - 19).\n           |- The departure day of Dubrovnik is Day 15. The arrival day of Amsterdam is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Porto, Paris, Florence, London, Helsinki, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Dubrovnik to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Porto, Paris, Florence, London, Helsinki, Dubrovnik, Amsterdam].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Paris.\n**Day 2-5:** Visit Paris for 4 days.\n**Day 5:** Fly from Paris to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Amsterdam.\n**Day 15-19:** Visit Amsterdam for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Milan**Paris**Tallinn**Barcelona**Valencia**Geneva",
    "ground_truth_durations": "2**4**2**5**4**4**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 16,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Paris",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You want to spend 2 days in Mykonos. You would like to visit Paris for 2 days. You want to spend 4 days in Milan. You plan to stay in Valencia for 4 days. You would like to visit Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 10 and day 13. You would like to visit Geneva for 3 days. You want to meet a friend in Geneva between day 16 and day 18.\n\nHere are the cities that have direct flights:\nMykonos and Geneva, Barcelona and Geneva, Milan and Barcelona, Paris and Valencia, Milan and Paris, Tallinn and Barcelona, Barcelona and Valencia, Paris and Geneva, Milan and Valencia, Valencia and Geneva, Paris and Tallinn, Mykonos and Milan, Paris and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You want to spend 2 days in Mykonos. You would like to visit Paris for 2 days. You want to spend 4 days in Milan. You plan to stay in Valencia for 4 days. You would like to visit Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 10 and day 13. You would like to visit Geneva for 3 days. You want to meet a friend in Geneva between day 16 and day 18.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Geneva, from Barcelona to Geneva, from Milan to Barcelona, from Paris to Valencia, from Milan to Paris, from Tallinn to Barcelona, from Barcelona to Valencia, from Paris to Geneva, from Milan to Valencia, from Valencia to Geneva, from Paris to Tallinn, from Mykonos to Milan, from Paris to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Geneva.\n**Day 16-18:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_817",
    "estimated_output_tokens": 2328,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Paris, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 10 - 13.\n* City: Geneva, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Paris, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Mykonos, Paris, Milan, Valencia] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 10 - 13).\n |- The departure day of Tallinn is Day 5. The arrival day of Barcelona is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Paris, Milan, Valencia] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 10 - 13).\n |- The departure day of Mykonos is Day 2. The arrival day of Barcelona is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris, Milan, Valencia] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 10 - 13).\n   |- The departure day of Milan is Day 5. The arrival day of Barcelona is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris, Valencia] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 10 - 13).\n     |- The departure day of Paris is Day 6. The arrival day of Barcelona is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Mykonos, Milan, Paris].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Paris to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 10 - 13).\n       |- The departure day of Tallinn is Day 10. The arrival day of Barcelona is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Milan, Paris, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Tallinn to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 16 - 18).\n         |- The departure day of Barcelona is Day 13. The arrival day of Geneva is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Milan, Paris, Tallinn, Barcelona].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Barcelona to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 16 - 18).\n           |- The departure day of Valencia is Day 16. The arrival day of Geneva is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Milan, Paris, Tallinn, Barcelona, Valencia].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Valencia to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Mykonos, Milan, Paris, Tallinn, Barcelona, Valencia, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Geneva.\n**Day 16-18:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Helsinki**Berlin**Vilnius**Paris**Lyon**Rome",
    "ground_truth_durations": "5**4**3**2**2**5**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Paris",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 10 and day 11. You plan to stay in Paris for 2 days. You plan to stay in Dubrovnik for 5 days. You want to spend 5 days in Lyon. From day 12 to day 16, there is a annual show you want to attend in Lyon. You would like to visit Rome for 2 days. You want to spend 3 days in Berlin.\n\nHere are the cities that have direct flights:\nVilnius and Paris, Dubrovnik and Rome, Helsinki and Rome, Berlin and Paris, Dubrovnik and Helsinki, Lyon and Rome, Paris and Lyon, Helsinki and Berlin, Helsinki and Paris, Berlin and Rome, Berlin and Vilnius, Helsinki and Vilnius, Paris and Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 10 and day 11. You plan to stay in Paris for 2 days. You plan to stay in Dubrovnik for 5 days. You want to spend 5 days in Lyon. From day 12 to day 16, there is a annual show you want to attend in Lyon. You would like to visit Rome for 2 days. You want to spend 3 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Paris, from Dubrovnik to Rome, from Helsinki to Rome, from Berlin to Paris, from Dubrovnik to Helsinki, from Lyon to Rome, from Paris to Lyon, from Helsinki to Berlin, from Helsinki to Paris, from Berlin to Rome, from Berlin to Vilnius, from Helsinki to Vilnius, from Paris to Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Berlin.\n**Day 8-10:** Visit Berlin for 3 days.\n**Day 10:** Fly from Berlin to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Lyon.\n**Day 12-16:** Visit Lyon for 5 days.\n**Day 16:** Fly from Lyon to Rome.\n**Day 16-17:** Visit Rome for 2 days.",
    "id": "trip_planning_example_818",
    "estimated_output_tokens": 5651,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Paris, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Rome, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 10 - 11.\n* City: Lyon, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Paris, Dubrovnik, Rome, Berlin] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 10 - 11).\n |- The departure day of Helsinki is Day 4. The arrival day of Vilnius is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Dubrovnik, Rome, Berlin] and explore these options in order.\n   |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Helsinki to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 10 - 11).\n   |- The departure day of Paris is Day 5. The arrival day of Vilnius is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Paris].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Berlin] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Paris to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 10 - 11).\n     |- The departure day of Rome is Day 6. The arrival day of Vilnius is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Helsinki, Paris, Rome].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Rome to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Paris to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Helsinki to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 10 - 11).\n   |- The departure day of Rome is Day 5. The arrival day of Vilnius is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Dubrovnik, Berlin] and explore these options in order.\n     |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Rome to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 10 - 11).\n   |- The departure day of Berlin is Day 6. The arrival day of Vilnius is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Berlin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Dubrovnik, Rome] and explore these options in order.\n     |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Berlin to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 10 - 11).\n     |- The departure day of Paris is Day 7. The arrival day of Vilnius is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Berlin, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Paris to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 10 - 11).\n       |- The departure day of Rome is Day 8. The arrival day of Vilnius is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Helsinki, Berlin, Paris, Rome].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Rome to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Berlin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Berlin to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 10 - 11).\n     |- The departure day of Rome is Day 7. The arrival day of Vilnius is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Berlin, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Paris from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 10 - 11).\n |- The departure day of Paris is Day 2. The arrival day of Vilnius is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik, Rome, Berlin] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 10 - 11).\n   |- The departure day of Rome is Day 3. The arrival day of Vilnius is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Rome].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik, Berlin] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Rome to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Rome to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Paris to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 10 - 11).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Vilnius is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Paris, Rome, Berlin] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 10 - 11).\n   |- The departure day of Helsinki is Day 8. The arrival day of Vilnius is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Helsinki].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Rome, Berlin] and explore these options in order.\n     |- Try arranging to visit Paris from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Helsinki to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 11).\n     |- The departure day of Paris is Day 9. The arrival day of Vilnius is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Helsinki, Paris].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Berlin] and explore these options in order.\n       |- Try arranging to visit Rome from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Paris to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 10 - 11).\n       |- The departure day of Rome is Day 10. The arrival day of Vilnius is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Helsinki, Paris, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Rome to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Paris to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Helsinki to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 11).\n     |- The departure day of Rome is Day 9. The arrival day of Vilnius is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Helsinki, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Berlin] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Rome to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Helsinki to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 11).\n     |- The departure day of Berlin is Day 10. The arrival day of Vilnius is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Helsinki, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 12 - 16).\n       |- The departure day of Vilnius is Day 11. The arrival day of Lyon is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Helsinki, Berlin, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Rome] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vilnius to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 12 - 16).\n         |- The departure day of Paris is Day 12. The arrival day of Lyon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Dubrovnik, Helsinki, Berlin, Vilnius, Paris].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Paris to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Helsinki, Berlin, Vilnius, Paris, Lyon].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n             |- Try arranging to visit Rome from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Lyon to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Helsinki, Berlin, Vilnius, Paris, Lyon, Rome].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Berlin.\n**Day 8-10:** Visit Berlin for 3 days.\n**Day 10:** Fly from Berlin to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Lyon.\n**Day 12-16:** Visit Lyon for 5 days.\n**Day 16:** Fly from Lyon to Rome.\n**Day 16-17:** Visit Rome for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Vilnius**Amsterdam**Santorini**Manchester**Krakow**Munich",
    "ground_truth_durations": "3**2**2**3**4**4**2",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Krakow",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 10 and day 13. You plan to stay in Istanbul for 3 days. You would like to visit Manchester for 4 days. You want to spend 2 days in Vilnius. You would like to meet your friends at Vilnius between day 3 and day 4 to tour together. You would like to visit Munich for 2 days. You would like to visit Santorini for 3 days. You plan to stay in Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Amsterdam, Manchester and Munich, Amsterdam and Krakow, Amsterdam and Santorini, Amsterdam and Munich, Istanbul and Vilnius, Istanbul and Manchester, Manchester and Krakow, Vilnius and Amsterdam, Amsterdam and Manchester, from Krakow to Vilnius, Istanbul and Krakow, Santorini and Manchester, Istanbul and Munich, from Vilnius to Munich, Krakow and Munich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 10 and day 13. You plan to stay in Istanbul for 3 days. You would like to visit Manchester for 4 days. You want to spend 2 days in Vilnius. You would like to meet your friends at Vilnius between day 3 and day 4 to tour together. You would like to visit Munich for 2 days. You would like to visit Santorini for 3 days. You plan to stay in Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Amsterdam, from Manchester to Munich, from Amsterdam to Krakow, from Amsterdam to Santorini, from Amsterdam to Munich, from Istanbul to Vilnius, from Istanbul to Manchester, from Manchester to Krakow, from Vilnius to Amsterdam, from Amsterdam to Manchester, from Krakow to Vilnius, from Istanbul to Krakow, from Santorini to Manchester, from Istanbul to Munich, from Vilnius to Munich, from Krakow to Munich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Vilnius.\n**Day 3-4:** Visit Vilnius for 2 days.\n**Day 4:** Fly from Vilnius to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Munich.\n**Day 13-14:** Visit Munich for 2 days.",
    "id": "trip_planning_example_819",
    "estimated_output_tokens": 3094,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Istanbul, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Munich, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 3 - 4.\n* City: Krakow, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n* City: Munich, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Manchester, Munich, Santorini, Amsterdam] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 3 - 4).\n |- The departure day of Istanbul is Day 3. The arrival day of Vilnius is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 10 - 13).\n   |- The departure day of Vilnius is Day 4. The arrival day of Krakow is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Vilnius].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Munich, Santorini, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vilnius to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 10 - 13).\n     |- The departure day of Munich is Day 5. The arrival day of Krakow is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Istanbul, Vilnius, Munich].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Munich to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Munich to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Munich to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Vilnius to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vilnius to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 10 - 13).\n     |- The departure day of Amsterdam is Day 5. The arrival day of Krakow is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Istanbul, Vilnius, Amsterdam].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Amsterdam to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 10 - 13).\n       |- The departure day of Manchester is Day 8. The arrival day of Krakow is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Istanbul, Vilnius, Amsterdam, Manchester].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Santorini] and explore these options in order.\n         |- Try arranging to visit Munich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Manchester to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 10 - 13).\n         |- The departure day of Munich is Day 9. The arrival day of Krakow is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Istanbul, Vilnius, Amsterdam, Manchester, Munich].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Munich to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Manchester to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Amsterdam to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 10 - 13).\n       |- The departure day of Munich is Day 6. The arrival day of Krakow is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Istanbul, Vilnius, Amsterdam, Munich].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Munich to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Munich to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 10 - 13).\n       |- The departure day of Santorini is Day 7. The arrival day of Krakow is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Istanbul, Vilnius, Amsterdam, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Munich] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Santorini to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 10 - 13).\n         |- The departure day of Manchester is Day 10. The arrival day of Krakow is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Istanbul, Vilnius, Amsterdam, Santorini, Manchester].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Manchester to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Istanbul, Vilnius, Amsterdam, Santorini, Manchester, Krakow].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n             |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Krakow to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Istanbul, Vilnius, Amsterdam, Santorini, Manchester, Krakow, Munich].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Vilnius.\n**Day 3-4:** Visit Vilnius for 2 days.\n**Day 4:** Fly from Vilnius to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Venice**Barcelona**Santorini**Geneva**Stockholm**Riga",
    "ground_truth_durations": "4**3**2**4**5**3**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 6,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Zurich",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Santorini",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You plan to stay in Riga for 2 days. You would like to visit Santorini for 4 days. During day 7 and day 10, you have to attend a conference in Santorini. You want to spend 5 days in Geneva. You want to spend 3 days in Stockholm. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 4 and day 6. You plan to stay in Barcelona for 2 days. You would like to meet your friends at Barcelona between day 6 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, Barcelona and Stockholm, Venice and Barcelona, Zurich and Barcelona, Barcelona and Santorini, Zurich and Riga, Venice and Santorini, Geneva and Stockholm, Zurich and Santorini, Zurich and Geneva, Stockholm and Riga, Barcelona and Geneva, Zurich and Venice, Zurich and Stockholm, Barcelona and Riga, Santorini and Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You plan to stay in Riga for 2 days. You would like to visit Santorini for 4 days. During day 7 and day 10, you have to attend a conference in Santorini. You want to spend 5 days in Geneva. You want to spend 3 days in Stockholm. You want to spend 3 days in Venice. You have to attend a workshop in Venice between day 4 and day 6. You plan to stay in Barcelona for 2 days. You would like to meet your friends at Barcelona between day 6 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, from Barcelona to Stockholm, from Venice to Barcelona, from Zurich to Barcelona, from Barcelona to Santorini, from Zurich to Riga, from Venice to Santorini, from Geneva to Stockholm, from Zurich to Santorini, from Zurich to Geneva, from Stockholm to Riga, from Barcelona to Geneva, from Zurich to Venice, from Zurich to Stockholm, from Barcelona to Riga, from Santorini to Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Venice.\n**Day 4-6:** Visit Venice for 3 days.\n**Day 6:** Fly from Venice to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Santorini.\n**Day 7-10:** Visit Santorini for 4 days.\n**Day 10:** Fly from Santorini to Geneva.\n**Day 10-14:** Visit Geneva for 5 days.\n**Day 14:** Fly from Geneva to Stockholm.\n**Day 14-16:** Visit Stockholm for 3 days.\n**Day 16:** Fly from Stockholm to Riga.\n**Day 16-17:** Visit Riga for 2 days.",
    "id": "trip_planning_example_820",
    "estimated_output_tokens": 1774,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Geneva, Duration: 5 days.\n* City: Stockholm, Duration: 3 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 6.\n* City: Barcelona, Fixed Schedule: Day 6 - 7.\n* City: Santorini, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Stockholm, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Riga, Geneva, Stockholm] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 6).\n |- The departure day of Zurich is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Barcelona (Day 6 - 7).\n   |- The departure day of Venice is Day 6. The arrival day of Barcelona is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 7 - 10).\n     |- The departure day of Barcelona is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Zurich, Venice, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Zurich, Venice, Barcelona, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Stockholm] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Zurich, Venice, Barcelona, Santorini, Geneva].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Stockholm] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Geneva to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Geneva to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Zurich, Venice, Barcelona, Santorini, Geneva, Stockholm].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Stockholm to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Zurich, Venice, Barcelona, Santorini, Geneva, Stockholm, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Venice.\n**Day 4-6:** Visit Venice for 3 days.\n**Day 6:** Fly from Venice to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Santorini.\n**Day 7-10:** Visit Santorini for 4 days.\n**Day 10:** Fly from Santorini to Geneva.\n**Day 10-14:** Visit Geneva for 5 days.\n**Day 14:** Fly from Geneva to Stockholm.\n**Day 14-16:** Visit Stockholm for 3 days.\n**Day 16:** Fly from Stockholm to Riga.\n**Day 16-17:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Helsinki**Venice**Lisbon**Bucharest**Riga**Vilnius",
    "ground_truth_durations": "4**2**3**2**2**3**3",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Lisbon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You would like to visit Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 11 and day 13. You plan to stay in Dubrovnik for 4 days. You plan to stay in Riga for 3 days. You would like to meet your friends at Riga between day 9 and day 11 to tour together. You want to spend 2 days in Helsinki. You want to spend 2 days in Lisbon. You want to spend 2 days in Bucharest. You plan to visit relatives in Bucharest between day 8 and day 9.\n\nHere are the cities that have direct flights:\nVenice and Lisbon, Bucharest and Riga, Helsinki and Vilnius, Lisbon and Riga, Dubrovnik and Helsinki, Helsinki and Venice, Helsinki and Lisbon, from Riga to Vilnius, Helsinki and Riga, Lisbon and Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You would like to visit Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 11 and day 13. You plan to stay in Dubrovnik for 4 days. You plan to stay in Riga for 3 days. You would like to meet your friends at Riga between day 9 and day 11 to tour together. You want to spend 2 days in Helsinki. You want to spend 2 days in Lisbon. You want to spend 2 days in Bucharest. You plan to visit relatives in Bucharest between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Venice to Lisbon, from Bucharest to Riga, from Helsinki to Vilnius, from Lisbon to Riga, from Dubrovnik to Helsinki, from Helsinki to Venice, from Helsinki to Lisbon, from Riga to Vilnius, from Helsinki to Riga, from Lisbon to Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Bucharest.\n**Day 8-9:** Visit Bucharest for 2 days.\n**Day 9:** Fly from Bucharest to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_821",
    "estimated_output_tokens": 2479,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Dubrovnik, Duration: 4 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Helsinki, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 8 - 9.\n* City: Riga, Fixed Schedule: Day 9 - 11.\n* City: Vilnius, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Helsinki, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Dubrovnik, Helsinki, Lisbon] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 8 - 9).\n |- The departure day of Venice is Day 3. The arrival day of Bucharest is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki, Lisbon] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Venice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 8 - 9).\n   |- The departure day of Lisbon is Day 4. The arrival day of Bucharest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Lisbon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lisbon to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 8 - 9).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Bucharest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, Lisbon] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 8 - 9).\n   |- The departure day of Helsinki is Day 5. The arrival day of Bucharest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Lisbon] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Helsinki to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 8 - 9).\n     |- The departure day of Venice is Day 7. The arrival day of Bucharest is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Helsinki, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Venice to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 8 - 9).\n       |- The departure day of Lisbon is Day 8. The arrival day of Bucharest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dubrovnik, Helsinki, Venice, Lisbon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Lisbon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 9 - 11).\n         |- The departure day of Bucharest is Day 9. The arrival day of Riga is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Dubrovnik, Helsinki, Venice, Lisbon, Bucharest].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 13).\n           |- The departure day of Riga is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Dubrovnik, Helsinki, Venice, Lisbon, Bucharest, Riga].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Riga to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Dubrovnik, Helsinki, Venice, Lisbon, Bucharest, Riga, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Bucharest.\n**Day 8-9:** Visit Bucharest for 2 days.\n**Day 9:** Fly from Bucharest to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Stockholm**Warsaw**Nice**Lyon**Paris**Seville",
    "ground_truth_durations": "5**2**3**2**5**5**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 5,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Warsaw",
        "Paris"
      ],
      [
        "Nice",
        "Paris"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Milan",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 5 days. You want to spend 5 days in Lyon. You are going to attend a wedding in Lyon between day 9 and day 13. You plan to stay in Paris for 5 days. You want to spend 3 days in Warsaw. You want to spend 4 days in Seville. From day 17 to day 20, there is a annual show you want to attend in Seville. You plan to stay in Nice for 2 days. You plan to stay in Stockholm for 2 days. You have to attend a workshop in Stockholm between day 5 and day 6.\n\nHere are the cities that have direct flights:\nStockholm and Paris, Milan and Stockholm, Warsaw and Nice, Nice and Lyon, Warsaw and Paris, Nice and Paris, Lyon and Paris, Milan and Paris, Milan and Warsaw, Stockholm and Nice, Paris and Seville, Stockholm and Warsaw, Milan and Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 5 days. You want to spend 5 days in Lyon. You are going to attend a wedding in Lyon between day 9 and day 13. You plan to stay in Paris for 5 days. You want to spend 3 days in Warsaw. You want to spend 4 days in Seville. From day 17 to day 20, there is a annual show you want to attend in Seville. You plan to stay in Nice for 2 days. You plan to stay in Stockholm for 2 days. You have to attend a workshop in Stockholm between day 5 and day 6.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Paris, from Milan to Stockholm, from Warsaw to Nice, from Nice to Lyon, from Warsaw to Paris, from Nice to Paris, from Lyon to Paris, from Milan to Paris, from Milan to Warsaw, from Stockholm to Nice, from Paris to Seville, from Stockholm to Warsaw, from Milan to Seville.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Stockholm.\n**Day 5-6:** Visit Stockholm for 2 days.\n**Day 6:** Fly from Stockholm to Warsaw.\n**Day 6-8:** Visit Warsaw for 3 days.\n**Day 8:** Fly from Warsaw to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Paris.\n**Day 13-17:** Visit Paris for 5 days.\n**Day 17:** Fly from Paris to Seville.\n**Day 17-20:** Visit Seville for 4 days.",
    "id": "trip_planning_example_822",
    "estimated_output_tokens": 1971,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Paris, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Nice, Duration: 2 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 5 - 6.\n* City: Lyon, Fixed Schedule: Day 9 - 13.\n* City: Seville, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Milan, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Paris, Warsaw, Nice] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 5 - 6).\n |- The departure day of Milan is Day 5. The arrival day of Stockholm is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 9 - 13).\n   |- The departure day of Stockholm is Day 6. The arrival day of Lyon is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Warsaw, Nice] and explore these options in order.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 9 - 13).\n     |- The departure day of Paris is Day 10. The arrival day of Lyon is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 9 - 13).\n     |- The departure day of Warsaw is Day 8. The arrival day of Lyon is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, Stockholm, Warsaw].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Nice] and explore these options in order.\n       |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Warsaw to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n       |- The departure day of Paris is Day 12. The arrival day of Lyon is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Warsaw to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n       |- The departure day of Nice is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Stockholm, Warsaw, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Nice to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 17 - 20).\n         |- The departure day of Lyon is Day 13. The arrival day of Seville is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Milan, Stockholm, Warsaw, Nice, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n           |- Try arranging to visit Paris from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Lyon to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 17 - 20).\n           |- The departure day of Paris is Day 17. The arrival day of Seville is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Milan, Stockholm, Warsaw, Nice, Lyon, Paris].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Paris to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Milan, Stockholm, Warsaw, Nice, Lyon, Paris, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Stockholm.\n**Day 5-6:** Visit Stockholm for 2 days.\n**Day 6:** Fly from Stockholm to Warsaw.\n**Day 6-8:** Visit Warsaw for 3 days.\n**Day 8:** Fly from Warsaw to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Paris.\n**Day 13-17:** Visit Paris for 5 days.\n**Day 17:** Fly from Paris to Seville.\n**Day 17-20:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Edinburgh**Milan**Reykjavik**Nice**Brussels**Valencia",
    "ground_truth_durations": "2**2**3**3**2**2**3",
    "num_cities": 7,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Milan",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 9 and day 11. You want to spend 3 days in Reykjavik. From day 5 to day 7, there is a annual show you want to attend in Reykjavik. You would like to visit Nice for 2 days. During day 7 and day 8, you have to attend a conference in Nice. You plan to stay in Venice for 2 days. You plan to stay in Edinburgh for 2 days. You plan to stay in Milan for 3 days. You would like to visit Brussels for 2 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Brussels, Venice and Nice, Milan and Valencia, Edinburgh and Milan, Milan and Reykjavik, Reykjavik and Nice, Brussels and Valencia, Venice and Brussels, Venice and Edinburgh, Edinburgh and Nice, Reykjavik and Brussels, Nice and Brussels, Milan and Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 11 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 9 and day 11. You want to spend 3 days in Reykjavik. From day 5 to day 7, there is a annual show you want to attend in Reykjavik. You would like to visit Nice for 2 days. During day 7 and day 8, you have to attend a conference in Nice. You plan to stay in Venice for 2 days. You plan to stay in Edinburgh for 2 days. You plan to stay in Milan for 3 days. You would like to visit Brussels for 2 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Brussels, from Venice to Nice, from Milan to Valencia, from Edinburgh to Milan, from Milan to Reykjavik, from Reykjavik to Nice, from Brussels to Valencia, from Venice to Brussels, from Venice to Edinburgh, from Edinburgh to Nice, from Reykjavik to Brussels, from Nice to Brussels, from Milan to Brussels.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 11 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Brussels.\n**Day 8-9:** Visit Brussels for 2 days.\n**Day 9:** Fly from Brussels to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_823",
    "estimated_output_tokens": 1798,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Venice, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 8.\n* City: Valencia, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Edinburgh, Milan, Brussels] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Venice is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Milan, Brussels] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Edinburgh is Day 3. The arrival day of Reykjavik is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Venice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Edinburgh to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 5 - 7).\n     |- The departure day of Milan is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Venice, Edinburgh, Milan].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Milan to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 7 - 8).\n       |- The departure day of Reykjavik is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Venice, Edinburgh, Milan, Reykjavik].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Reykjavik to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 9 - 11).\n         |- The departure day of Nice is Day 8. The arrival day of Valencia is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Venice, Edinburgh, Milan, Reykjavik, Nice].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Nice to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 9 - 11).\n           |- The departure day of Brussels is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Venice, Edinburgh, Milan, Reykjavik, Nice, Brussels].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n             |- Check for direct flight from Brussels to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Venice, Edinburgh, Milan, Reykjavik, Nice, Brussels, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Brussels.\n**Day 8-9:** Visit Brussels for 2 days.\n**Day 9:** Fly from Brussels to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Split**Lyon**Lisbon**Bucharest**Riga**Tallinn",
    "ground_truth_durations": "5**3**5**3**3**5**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Lyon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 5 days. From day 1 to day 5, there is a annual show you want to attend in Berlin. You would like to visit Split for 3 days. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 13 and day 15. You plan to stay in Riga for 5 days. You plan to stay in Lisbon for 3 days. You would like to visit Tallinn for 4 days. You plan to stay in Lyon for 5 days. You are going to attend a wedding in Lyon between day 7 and day 11.\n\nHere are the cities that have direct flights:\nLisbon and Bucharest, Berlin and Lisbon, Bucharest and Riga, Berlin and Riga, Split and Lyon, Lisbon and Riga, from Riga to Tallinn, Berlin and Split, Lyon and Lisbon, Berlin and Tallinn, Lyon and Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 5 days. From day 1 to day 5, there is a annual show you want to attend in Berlin. You would like to visit Split for 3 days. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 13 and day 15. You plan to stay in Riga for 5 days. You plan to stay in Lisbon for 3 days. You would like to visit Tallinn for 4 days. You plan to stay in Lyon for 5 days. You are going to attend a wedding in Lyon between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Bucharest, from Berlin to Lisbon, from Bucharest to Riga, from Berlin to Riga, from Split to Lyon, from Lisbon to Riga, from Riga to Tallinn, from Berlin to Split, from Lyon to Lisbon, from Berlin to Tallinn, from Lyon to Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_824",
    "estimated_output_tokens": 1744,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Split, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Riga, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Lyon, Fixed Schedule: Day 7 - 11.\n* City: Bucharest, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Riga, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 11).\n |- The departure day of Berlin is Day 5. The arrival day of Lyon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Riga, Lisbon, Tallinn] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 7 - 11).\n   |- The departure day of Split is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Split to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 13 - 15).\n     |- The departure day of Lyon is Day 11. The arrival day of Bucharest is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Berlin, Split, Lyon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Lisbon, Tallinn] and explore these options in order.\n       |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lyon to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lyon to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 13 - 15).\n       |- The departure day of Lisbon is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Split, Lyon, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Lisbon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Berlin, Split, Lyon, Lisbon, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Berlin, Split, Lyon, Lisbon, Bucharest, Riga].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Riga to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Berlin, Split, Lyon, Lisbon, Bucharest, Riga, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Istanbul**Bucharest**Madrid**Florence**Lisbon**Stuttgart",
    "ground_truth_durations": "4**2**3**3**4**2**3",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Istanbul",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You want to spend 4 days in Paris. You have to attend a workshop in Paris between day 1 and day 4. You want to spend 3 days in Stuttgart. You plan to stay in Lisbon for 2 days. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 7 and day 9. You plan to stay in Bucharest for 3 days. From day 5 to day 7, there is a annual show you want to attend in Bucharest. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nParis and Lisbon, Istanbul and Lisbon, Paris and Bucharest, Madrid and Florence, Istanbul and Stuttgart, Madrid and Lisbon, Bucharest and Madrid, Paris and Istanbul, Paris and Stuttgart, Florence and Lisbon, Bucharest and Lisbon, Lisbon and Stuttgart, Paris and Madrid, Istanbul and Bucharest, Paris and Florence, Istanbul and Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You want to spend 4 days in Paris. You have to attend a workshop in Paris between day 1 and day 4. You want to spend 3 days in Stuttgart. You plan to stay in Lisbon for 2 days. You would like to visit Madrid for 3 days. You are going to attend a wedding in Madrid between day 7 and day 9. You plan to stay in Bucharest for 3 days. From day 5 to day 7, there is a annual show you want to attend in Bucharest. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Lisbon, from Istanbul to Lisbon, from Paris to Bucharest, from Madrid to Florence, from Istanbul to Stuttgart, from Madrid to Lisbon, from Bucharest to Madrid, from Paris to Istanbul, from Paris to Stuttgart, from Florence to Lisbon, from Bucharest to Lisbon, from Lisbon to Stuttgart, from Paris to Madrid, from Istanbul to Bucharest, from Paris to Florence, from Istanbul to Madrid.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Lisbon.\n**Day 12-13:** Visit Lisbon for 2 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_825",
    "estimated_output_tokens": 2182,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Florence, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Madrid, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Paris is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Stuttgart, Lisbon, Florence] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Paris to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n   |- The departure day of Istanbul is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Istanbul to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 7 - 9).\n     |- The departure day of Bucharest is Day 7. The arrival day of Madrid is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Istanbul, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Bucharest to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Istanbul, Bucharest, Madrid].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Florence] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Madrid to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Madrid to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Paris, Istanbul, Bucharest, Madrid, Lisbon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Florence] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Lisbon to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Paris, Istanbul, Bucharest, Madrid, Lisbon, Stuttgart].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Stuttgart to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Lisbon to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Madrid to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Istanbul, Bucharest, Madrid, Florence].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Florence to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Florence to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Paris, Istanbul, Bucharest, Madrid, Florence, Lisbon].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Lisbon to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Istanbul, Bucharest, Madrid, Florence, Lisbon, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Madrid.\n**Day 7-9:** Visit Madrid for 3 days.\n**Day 9:** Fly from Madrid to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Lisbon.\n**Day 12-13:** Visit Lisbon for 2 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Geneva**Rome**Dubrovnik**Copenhagen**Vilnius**Amsterdam",
    "ground_truth_durations": "3**4**3**4**5**4**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 18,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Nice",
        "Rome"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Nice. You would like to visit Rome for 3 days. You plan to stay in Copenhagen for 5 days. You would like to visit Geneva for 4 days. You are going to attend a wedding in Geneva between day 3 and day 6. You would like to visit Dubrovnik for 4 days. You have to attend a workshop in Dubrovnik between day 8 and day 11. You would like to visit Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 18 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nGeneva and Copenhagen, Copenhagen and Vilnius, Dubrovnik and Amsterdam, Nice and Amsterdam, Geneva and Rome, Nice and Copenhagen, Rome and Amsterdam, Copenhagen and Amsterdam, Geneva and Amsterdam, Geneva and Dubrovnik, Rome and Copenhagen, Nice and Geneva, Rome and Dubrovnik, Dubrovnik and Copenhagen, Nice and Rome, Vilnius and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Nice. You would like to visit Rome for 3 days. You plan to stay in Copenhagen for 5 days. You would like to visit Geneva for 4 days. You are going to attend a wedding in Geneva between day 3 and day 6. You would like to visit Dubrovnik for 4 days. You have to attend a workshop in Dubrovnik between day 8 and day 11. You would like to visit Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 18 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nfrom Geneva to Copenhagen, from Copenhagen to Vilnius, from Dubrovnik to Amsterdam, from Nice to Amsterdam, from Geneva to Rome, from Nice to Copenhagen, from Rome to Amsterdam, from Copenhagen to Amsterdam, from Geneva to Amsterdam, from Geneva to Dubrovnik, from Rome to Copenhagen, from Nice to Geneva, from Rome to Dubrovnik, from Dubrovnik to Copenhagen, from Nice to Rome, from Vilnius to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Amsterdam.\n**Day 18-19:** Visit Amsterdam for 2 days.",
    "id": "trip_planning_example_826",
    "estimated_output_tokens": 2014,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 3 - 6.\n* City: Dubrovnik, Fixed Schedule: Day 8 - 11.\n* City: Amsterdam, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Nice, Rome, Copenhagen] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 3 - 6).\n |- The departure day of Vilnius is Day 4. The arrival day of Geneva is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 3 - 6).\n |- The departure day of Nice is Day 3. The arrival day of Geneva is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 8 - 11).\n   |- The departure day of Geneva is Day 6. The arrival day of Dubrovnik is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Rome, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 8 - 11).\n     |- The departure day of Rome is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Geneva, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 18 - 19).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Amsterdam is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Geneva, Rome, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dubrovnik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 18 - 19).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Amsterdam is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Nice, Geneva, Rome, Dubrovnik, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Copenhagen to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 18 - 19).\n           |- The departure day of Vilnius is Day 18. The arrival day of Amsterdam is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Nice, Geneva, Rome, Dubrovnik, Copenhagen, Vilnius].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Vilnius to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Nice, Geneva, Rome, Dubrovnik, Copenhagen, Vilnius, Amsterdam].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Amsterdam.\n**Day 18-19:** Visit Amsterdam for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Copenhagen**Santorini**Dublin**Lisbon**Milan**Vilnius",
    "ground_truth_durations": "4**4**5**4**4**3**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Milan",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You want to spend 4 days in Lisbon. You plan to stay in Vilnius for 4 days. You want to spend 5 days in Santorini. From day 7 to day 11, there is a annual show you want to attend in Santorini. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 1 and day 4 to tour together. You want to spend 4 days in Dublin. You plan to stay in Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 4 and day 7.\n\nHere are the cities that have direct flights:\nCopenhagen and Dublin, Dublin and Milan, Dublin and Lisbon, Lisbon and Milan, Frankfurt and Dublin, Frankfurt and Milan, Copenhagen and Vilnius, Frankfurt and Copenhagen, Copenhagen and Lisbon, Frankfurt and Lisbon, Copenhagen and Milan, Copenhagen and Santorini, Santorini and Dublin, Santorini and Milan, Frankfurt and Vilnius, Milan and Vilnius.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You want to spend 4 days in Lisbon. You plan to stay in Vilnius for 4 days. You want to spend 5 days in Santorini. From day 7 to day 11, there is a annual show you want to attend in Santorini. You want to spend 4 days in Frankfurt. You would like to meet your friends at Frankfurt between day 1 and day 4 to tour together. You want to spend 4 days in Dublin. You plan to stay in Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 4 and day 7.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Dublin, from Dublin to Milan, from Dublin to Lisbon, from Lisbon to Milan, from Frankfurt to Dublin, from Frankfurt to Milan, from Copenhagen to Vilnius, from Frankfurt to Copenhagen, from Copenhagen to Lisbon, from Frankfurt to Lisbon, from Copenhagen to Milan, from Copenhagen to Santorini, from Santorini to Dublin, from Santorini to Milan, from Frankfurt to Vilnius, from Milan to Vilnius.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Copenhagen.\n**Day 4-7:** Visit Copenhagen for 4 days.\n**Day 7:** Fly from Copenhagen to Santorini.\n**Day 7-11:** Visit Santorini for 5 days.\n**Day 11:** Fly from Santorini to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Lisbon.\n**Day 14-17:** Visit Lisbon for 4 days.\n**Day 17:** Fly from Lisbon to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_827",
    "estimated_output_tokens": 2772,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Fixed Schedule: Day 4 - 7.\n* City: Santorini, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 7).\n |- The departure day of Frankfurt is Day 4. The arrival day of Copenhagen is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Frankfurt, Copenhagen, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Lisbon, Vilnius, Dublin] and explore these options in order.\n       |- Try arranging to visit Milan from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Copenhagen, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Vilnius, Dublin] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Milan to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Milan to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Copenhagen, Santorini, Milan, Vilnius].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Dublin] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Vilnius to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Vilnius to Dublin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Milan to Dublin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Santorini to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Santorini to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Santorini to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Lisbon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Dublin to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin, Milan].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Vilnius] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Milan to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Milan to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin, Milan, Vilnius].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Vilnius to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Dublin to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin, Lisbon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius] and explore these options in order.\n           |- Try arranging to visit Milan from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Lisbon to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin, Lisbon, Milan].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Milan to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Frankfurt, Copenhagen, Santorini, Dublin, Lisbon, Milan, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Copenhagen.\n**Day 4-7:** Visit Copenhagen for 4 days.\n**Day 7:** Fly from Copenhagen to Santorini.\n**Day 7-11:** Visit Santorini for 5 days.\n**Day 11:** Fly from Santorini to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Lisbon.\n**Day 14-17:** Visit Lisbon for 4 days.\n**Day 17:** Fly from Lisbon to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Manchester**Stockholm**Tallinn**Vilnius**Munich**Lyon",
    "ground_truth_durations": "5**3**4**5**4**2**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Tallinn",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 5 days in Dubrovnik. You want to spend 3 days in Manchester. During day 5 and day 7, you have to attend a conference in Manchester. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 17 and day 18 to tour together. You want to spend 5 days in Tallinn. You would like to visit Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Stockholm and Munich, from Tallinn to Vilnius, Dubrovnik and Stockholm, Dubrovnik and Manchester, Dubrovnik and Munich, Manchester and Munich, Munich and Lyon, Stockholm and Tallinn, Manchester and Stockholm, Tallinn and Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 5 days in Dubrovnik. You want to spend 3 days in Manchester. During day 5 and day 7, you have to attend a conference in Manchester. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 17 and day 18 to tour together. You want to spend 5 days in Tallinn. You would like to visit Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Stockholm to Munich, from Tallinn to Vilnius, from Dubrovnik to Stockholm, from Dubrovnik to Manchester, from Dubrovnik to Munich, from Manchester to Munich, from Munich to Lyon, from Stockholm to Tallinn, from Manchester to Stockholm, from Tallinn to Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Lyon.\n**Day 18-20:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_828",
    "estimated_output_tokens": 2790,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Tallinn, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 5 - 7.\n* City: Munich, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Stockholm, Dubrovnik, Tallinn, Vilnius] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Lyon is Day 3. The arrival day of Manchester is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Tallinn, Vilnius] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Stockholm is Day 4. The arrival day of Manchester is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Tallinn, Vilnius] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 5 - 7).\n   |- The departure day of Tallinn is Day 8. The arrival day of Manchester is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Manchester is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dubrovnik to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 17 - 18).\n   |- The departure day of Manchester is Day 7. The arrival day of Munich is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Manchester].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Stockholm, Tallinn, Vilnius] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Manchester to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 17 - 18).\n     |- The departure day of Stockholm is Day 10. The arrival day of Munich is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Manchester, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Vilnius] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stockholm to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stockholm to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Munich (Day 17 - 18).\n       |- The departure day of Tallinn is Day 14. The arrival day of Munich is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dubrovnik, Manchester, Stockholm, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Tallinn to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Munich (Day 17 - 18).\n         |- The departure day of Vilnius is Day 17. The arrival day of Munich is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Dubrovnik, Manchester, Stockholm, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Vilnius to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dubrovnik, Manchester, Stockholm, Tallinn, Vilnius, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Munich to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Dubrovnik, Manchester, Stockholm, Tallinn, Vilnius, Munich, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Tallinn.\n**Day 10-14:** Visit Tallinn for 5 days.\n**Day 14:** Fly from Tallinn to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Lyon.\n**Day 18-20:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Oslo**Vilnius**Istanbul**Stockholm**Madrid**Seville",
    "ground_truth_durations": "3**4**2**3**2**4**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Stockholm",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You plan to visit relatives in Oslo between day 3 and day 6. You want to spend 5 days in Seville. From day 13 to day 17, there is a annual show you want to attend in Seville. You plan to stay in Vilnius for 2 days. You plan to stay in Stockholm for 2 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 1 and day 3 to tour together. You want to spend 3 days in Istanbul. You plan to stay in Madrid for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Istanbul, Istanbul and Madrid, Helsinki and Stockholm, Helsinki and Vilnius, Helsinki and Istanbul, Oslo and Madrid, Istanbul and Stockholm, Helsinki and Oslo, Oslo and Vilnius, Oslo and Stockholm, Helsinki and Madrid, Vilnius and Istanbul, Madrid and Seville, Stockholm and Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You plan to visit relatives in Oslo between day 3 and day 6. You want to spend 5 days in Seville. From day 13 to day 17, there is a annual show you want to attend in Seville. You plan to stay in Vilnius for 2 days. You plan to stay in Stockholm for 2 days. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 1 and day 3 to tour together. You want to spend 3 days in Istanbul. You plan to stay in Madrid for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Istanbul, from Istanbul to Madrid, from Helsinki to Stockholm, from Helsinki to Vilnius, from Helsinki to Istanbul, from Oslo to Madrid, from Istanbul to Stockholm, from Helsinki to Oslo, from Oslo to Vilnius, from Oslo to Stockholm, from Helsinki to Madrid, from Vilnius to Istanbul, from Madrid to Seville, from Stockholm to Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Istanbul.\n**Day 7-9:** Visit Istanbul for 3 days.\n**Day 9:** Fly from Istanbul to Stockholm.\n**Day 9-10:** Visit Stockholm for 2 days.\n**Day 10:** Fly from Stockholm to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-17:** Visit Seville for 5 days.",
    "id": "trip_planning_example_829",
    "estimated_output_tokens": 1834,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Vilnius, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 3 - 6.\n* City: Seville, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 6).\n |- The departure day of Helsinki is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Helsinki to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 13 - 17).\n   |- The departure day of Oslo is Day 6. The arrival day of Seville is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Stockholm, Istanbul, Madrid] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 13 - 17).\n     |- The departure day of Vilnius is Day 7. The arrival day of Seville is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Oslo, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Istanbul, Madrid] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vilnius to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vilnius to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 13 - 17).\n       |- The departure day of Istanbul is Day 9. The arrival day of Seville is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Oslo, Vilnius, Istanbul].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Madrid] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Istanbul to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 13 - 17).\n         |- The departure day of Stockholm is Day 10. The arrival day of Seville is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Helsinki, Oslo, Vilnius, Istanbul, Stockholm].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Stockholm to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 13 - 17).\n           |- The departure day of Madrid is Day 13. The arrival day of Seville is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Helsinki, Oslo, Vilnius, Istanbul, Stockholm, Madrid].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Madrid to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Helsinki, Oslo, Vilnius, Istanbul, Stockholm, Madrid, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Istanbul.\n**Day 7-9:** Visit Istanbul for 3 days.\n**Day 9:** Fly from Istanbul to Stockholm.\n**Day 9-10:** Visit Stockholm for 2 days.\n**Day 10:** Fly from Stockholm to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Manchester**Venice**Nice**Budapest**Warsaw**Riga",
    "ground_truth_durations": "3**4**2**5**5**3**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Manchester",
        "Venice"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Nice",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. During day 17 and day 19, you have to attend a conference in Riga. You plan to stay in Budapest for 5 days. You plan to visit relatives in Budapest between day 11 and day 15. You plan to stay in Seville for 3 days. You want to spend 5 days in Nice. You want to spend 4 days in Manchester. You want to spend 2 days in Venice. You plan to stay in Warsaw for 3 days. From day 15 to day 17, there is a annual show you want to attend in Warsaw.\n\nHere are the cities that have direct flights:\nWarsaw and Riga, Nice and Budapest, Manchester and Nice, Manchester and Warsaw, Budapest and Warsaw, Manchester and Budapest, Manchester and Venice, Manchester and Riga, Venice and Nice, Venice and Warsaw, Seville and Manchester, Nice and Riga, Nice and Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. During day 17 and day 19, you have to attend a conference in Riga. You plan to stay in Budapest for 5 days. You plan to visit relatives in Budapest between day 11 and day 15. You plan to stay in Seville for 3 days. You want to spend 5 days in Nice. You want to spend 4 days in Manchester. You want to spend 2 days in Venice. You plan to stay in Warsaw for 3 days. From day 15 to day 17, there is a annual show you want to attend in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Riga, from Nice to Budapest, from Manchester to Nice, from Manchester to Warsaw, from Budapest to Warsaw, from Manchester to Budapest, from Manchester to Venice, from Manchester to Riga, from Venice to Nice, from Venice to Warsaw, from Seville to Manchester, from Nice to Riga, from Nice to Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Manchester.\n**Day 3-6:** Visit Manchester for 4 days.\n**Day 6:** Fly from Manchester to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Budapest.\n**Day 11-15:** Visit Budapest for 5 days.\n**Day 15:** Fly from Budapest to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Riga.\n**Day 17-19:** Visit Riga for 3 days.",
    "id": "trip_planning_example_830",
    "estimated_output_tokens": 2055,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Seville, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 11 - 15.\n* City: Warsaw, Fixed Schedule: Day 15 - 17.\n* City: Riga, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Nice, Manchester, Venice] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 11 - 15).\n |- The departure day of Seville is Day 3. The arrival day of Budapest is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Manchester, Venice] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 11 - 15).\n   |- The departure day of Manchester is Day 6. The arrival day of Budapest is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Venice] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 11 - 15).\n     |- The departure day of Nice is Day 10. The arrival day of Budapest is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Manchester, Nice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n       |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Nice to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Manchester to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 11 - 15).\n     |- The departure day of Venice is Day 7. The arrival day of Budapest is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Seville, Manchester, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 11 - 15).\n       |- The departure day of Nice is Day 11. The arrival day of Budapest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Seville, Manchester, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Nice to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 15 - 17).\n         |- The departure day of Budapest is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Manchester, Venice, Nice, Budapest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Budapest to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Riga (Day 17 - 19).\n           |- The departure day of Warsaw is Day 17. The arrival day of Riga is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Manchester, Venice, Nice, Budapest, Warsaw].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Warsaw to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Seville, Manchester, Venice, Nice, Budapest, Warsaw, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Manchester.\n**Day 3-6:** Visit Manchester for 4 days.\n**Day 6:** Fly from Manchester to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Budapest.\n**Day 11-15:** Visit Budapest for 5 days.\n**Day 15:** Fly from Budapest to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Riga.\n**Day 17-19:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Stockholm**Berlin**Split**Lyon**Oslo**Dubrovnik",
    "ground_truth_durations": "3**2**2**2**4**5**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Stockholm",
        "Berlin"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You plan to stay in Stockholm for 2 days. You plan to stay in Berlin for 2 days. You would like to meet your friends at Berlin between day 4 and day 5 to tour together. You plan to stay in Brussels for 3 days. From day 1 to day 3, there is a annual show you want to attend in Brussels. You would like to visit Oslo for 5 days. You would like to visit Lyon for 4 days. You want to spend 2 days in Split.\n\nHere are the cities that have direct flights:\nLyon and Oslo, Brussels and Stockholm, Oslo and Dubrovnik, Berlin and Split, Stockholm and Dubrovnik, Brussels and Berlin, Split and Lyon, Stockholm and Split, Stockholm and Oslo, Brussels and Lyon, Brussels and Oslo, Stockholm and Berlin, Berlin and Oslo, Split and Oslo.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You plan to stay in Stockholm for 2 days. You plan to stay in Berlin for 2 days. You would like to meet your friends at Berlin between day 4 and day 5 to tour together. You plan to stay in Brussels for 3 days. From day 1 to day 3, there is a annual show you want to attend in Brussels. You would like to visit Oslo for 5 days. You would like to visit Lyon for 4 days. You want to spend 2 days in Split.\n\nHere are the cities that have direct flights:\nfrom Lyon to Oslo, from Brussels to Stockholm, from Oslo to Dubrovnik, from Berlin to Split, from Stockholm to Dubrovnik, from Brussels to Berlin, from Split to Lyon, from Stockholm to Split, from Stockholm to Oslo, from Brussels to Lyon, from Brussels to Oslo, from Stockholm to Berlin, from Berlin to Oslo, from Split to Oslo.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_831",
    "estimated_output_tokens": 2864,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Berlin, Fixed Schedule: Day 4 - 5.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 5).\n |- The departure day of Brussels is Day 3. The arrival day of Berlin is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stockholm, Oslo, Lyon, Split] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 4 - 5).\n   |- The departure day of Stockholm is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stockholm to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Brussels, Stockholm, Berlin].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo, Lyon, Split] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Berlin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Berlin to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Brussels, Stockholm, Berlin, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon, Split] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Stockholm, Berlin, Oslo, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Split] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dubrovnik to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dubrovnik to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Oslo to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Oslo to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Berlin to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Berlin to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Brussels, Stockholm, Berlin, Split].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo, Lyon] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Split to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Split to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Brussels, Stockholm, Berlin, Split, Oslo].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Brussels, Stockholm, Berlin, Split, Oslo, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Dubrovnik to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Oslo to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Split to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Brussels, Stockholm, Berlin, Split, Lyon].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Lyon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Lyon to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Brussels, Stockholm, Berlin, Split, Lyon, Oslo].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Oslo to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Stockholm, Berlin, Split, Lyon, Oslo, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Seville**Porto**Nice**Stockholm**Copenhagen**Vilnius",
    "ground_truth_durations": "5**2**5**3**3**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 14,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Milan",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 1 and day 5. You want to spend 2 days in Seville. You plan to stay in Vilnius for 4 days. You would like to visit Nice for 3 days. You want to meet a friend in Nice between day 10 and day 12. You would like to visit Stockholm for 3 days. You plan to stay in Porto for 5 days. You would like to visit Copenhagen for 4 days. From day 14 to day 17, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nMilan and Copenhagen, Porto and Copenhagen, Milan and Stockholm, Copenhagen and Vilnius, Porto and Nice, Nice and Stockholm, Milan and Porto, Nice and Copenhagen, Milan and Seville, Seville and Porto, Stockholm and Copenhagen, Milan and Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 1 and day 5. You want to spend 2 days in Seville. You plan to stay in Vilnius for 4 days. You would like to visit Nice for 3 days. You want to meet a friend in Nice between day 10 and day 12. You would like to visit Stockholm for 3 days. You plan to stay in Porto for 5 days. You would like to visit Copenhagen for 4 days. From day 14 to day 17, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Milan to Copenhagen, from Porto to Copenhagen, from Milan to Stockholm, from Copenhagen to Vilnius, from Porto to Nice, from Nice to Stockholm, from Milan to Porto, from Nice to Copenhagen, from Milan to Seville, from Seville to Porto, from Stockholm to Copenhagen, from Milan to Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Porto.\n**Day 6-10:** Visit Porto for 5 days.\n**Day 10:** Fly from Porto to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Stockholm.\n**Day 12-14:** Visit Stockholm for 3 days.\n**Day 14:** Fly from Stockholm to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_832",
    "estimated_output_tokens": 1887,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Seville, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Stockholm, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 5.\n* City: Nice, Fixed Schedule: Day 10 - 12.\n* City: Copenhagen, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 10 - 12).\n |- The departure day of Milan is Day 5. The arrival day of Nice is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Vilnius, Stockholm, Porto] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 10 - 12).\n   |- The departure day of Seville is Day 6. The arrival day of Nice is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Stockholm, Porto] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Seville to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 10 - 12).\n     |- The departure day of Porto is Day 10. The arrival day of Nice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Milan, Seville, Porto].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Porto to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 14 - 17).\n       |- The departure day of Nice is Day 12. The arrival day of Copenhagen is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Milan, Seville, Porto, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Stockholm] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Nice to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Copenhagen (Day 14 - 17).\n         |- The departure day of Stockholm is Day 14. The arrival day of Copenhagen is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Seville, Porto, Nice, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Stockholm to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Milan, Seville, Porto, Nice, Stockholm, Copenhagen].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Copenhagen to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Milan, Seville, Porto, Nice, Stockholm, Copenhagen, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Porto.\n**Day 6-10:** Visit Porto for 5 days.\n**Day 10:** Fly from Porto to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Stockholm.\n**Day 12-14:** Visit Stockholm for 3 days.\n**Day 14:** Fly from Stockholm to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Vilnius**Athens**Hamburg**Budapest**Bucharest**Lyon",
    "ground_truth_durations": "2**2**4**4**3**2**2",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Budapest"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Athens",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 2 days. You want to spend 4 days in Hamburg. You would like to visit Bucharest for 2 days. You want to spend 2 days in Krakow. You plan to stay in Athens for 4 days. You want to spend 2 days in Lyon. You would like to visit Budapest for 3 days.\n\nHere are the cities that have direct flights:\nVilnius and Athens, Bucharest and Lyon, Athens and Hamburg, Budapest and Bucharest, Hamburg and Budapest, Hamburg and Bucharest, from Krakow to Vilnius, Athens and Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 2 days. You want to spend 4 days in Hamburg. You would like to visit Bucharest for 2 days. You want to spend 2 days in Krakow. You plan to stay in Athens for 4 days. You want to spend 2 days in Lyon. You would like to visit Budapest for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Athens, from Bucharest to Lyon, from Athens to Hamburg, from Budapest to Bucharest, from Hamburg to Budapest, from Hamburg to Bucharest, from Krakow to Vilnius, from Athens to Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Vilnius.\n**Day 2-3:** Visit Vilnius for 2 days.\n**Day 3:** Fly from Vilnius to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Hamburg.\n**Day 6-9:** Visit Hamburg for 4 days.\n**Day 9:** Fly from Hamburg to Budapest.\n**Day 9-11:** Visit Budapest for 3 days.\n**Day 11:** Fly from Budapest to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_833",
    "estimated_output_tokens": 8146,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Bucharest, Krakow, Athens, Lyon, Budapest] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest, Krakow, Athens, Lyon, Budapest] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vilnius, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest, Krakow, Lyon, Budapest] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Athens, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Krakow, Lyon, Budapest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Hamburg to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vilnius, Athens, Hamburg, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Lyon, Budapest] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Vilnius, Athens, Hamburg, Bucharest, Lyon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Lyon to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Lyon to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Budapest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Budapest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Hamburg to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Hamburg to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Hamburg to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vilnius, Athens, Hamburg, Budapest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Krakow, Lyon] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Budapest to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vilnius, Athens, Hamburg, Budapest, Bucharest].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Lyon] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Bucharest to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Vilnius, Athens, Hamburg, Budapest, Bucharest, Lyon].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Lyon to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Budapest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Budapest to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Vilnius, Athens, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Krakow, Lyon, Budapest] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Bucharest to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Vilnius, Athens, Bucharest, Lyon].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Krakow, Budapest] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Lyon to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Lyon to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Lyon to Budapest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Bucharest to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Krakow, Athens, Lyon, Budapest] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Athens, Lyon, Budapest] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Bucharest to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Hamburg, Bucharest, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Athens, Budapest] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Lyon to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lyon to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Bucharest to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Hamburg to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Krakow, Athens, Lyon] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Budapest to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Budapest to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Budapest, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Athens, Lyon] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Bucharest to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Bucharest to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Bucharest to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Hamburg, Budapest, Bucharest, Lyon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Athens] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Lyon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Lyon to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Lyon to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Budapest to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Budapest to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Budapest to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Krakow, Athens, Lyon, Budapest] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Krakow, Athens, Budapest] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Lyon to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Lyon to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Bucharest, Athens, Lyon, Budapest] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest, Athens, Lyon, Budapest] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Vilnius to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Vilnius to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Krakow, Vilnius, Athens].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Bucharest, Lyon, Budapest] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Athens to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Krakow, Vilnius, Athens, Hamburg].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Budapest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Krakow, Vilnius, Athens, Hamburg, Bucharest].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Krakow, Vilnius, Athens, Hamburg, Bucharest, Lyon].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Lyon to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Budapest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Bucharest to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Hamburg to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Hamburg to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Krakow, Vilnius, Athens, Hamburg, Budapest].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Budapest to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Krakow, Vilnius, Athens, Hamburg, Budapest, Bucharest].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Krakow, Vilnius, Athens, Hamburg, Budapest, Bucharest, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Vilnius.\n**Day 2-3:** Visit Vilnius for 2 days.\n**Day 3:** Fly from Vilnius to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Hamburg.\n**Day 6-9:** Visit Hamburg for 4 days.\n**Day 9:** Fly from Hamburg to Budapest.\n**Day 9-11:** Visit Budapest for 3 days.\n**Day 11:** Fly from Budapest to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Helsinki**Dubrovnik**Geneva**Split**Paris**Riga",
    "ground_truth_durations": "3**2**4**2**5**5**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Geneva. During day 7 and day 8, you have to attend a conference in Geneva. You plan to stay in Split for 5 days. You want to spend 4 days in Dubrovnik. You have to attend a workshop in Dubrovnik between day 4 and day 7. You would like to visit Paris for 5 days. You would like to visit Helsinki for 2 days. You want to spend 5 days in Riga. You want to spend 3 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 3.\n\nHere are the cities that have direct flights:\nDubrovnik and Geneva, Paris and Riga, Helsinki and Geneva, Split and Paris, Helsinki and Split, Helsinki and Paris, Geneva and Split, Frankfurt and Helsinki, Helsinki and Riga, Geneva and Paris, Helsinki and Dubrovnik, Frankfurt and Riga, Frankfurt and Split, Frankfurt and Geneva, Frankfurt and Dubrovnik, Frankfurt and Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Geneva. During day 7 and day 8, you have to attend a conference in Geneva. You plan to stay in Split for 5 days. You want to spend 4 days in Dubrovnik. You have to attend a workshop in Dubrovnik between day 4 and day 7. You would like to visit Paris for 5 days. You would like to visit Helsinki for 2 days. You want to spend 5 days in Riga. You want to spend 3 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Geneva, from Paris to Riga, from Helsinki to Geneva, from Split to Paris, from Helsinki to Split, from Helsinki to Paris, from Geneva to Split, from Frankfurt to Helsinki, from Helsinki to Riga, from Geneva to Paris, from Helsinki to Dubrovnik, from Frankfurt to Riga, from Frankfurt to Split, from Frankfurt to Geneva, from Frankfurt to Dubrovnik, from Frankfurt to Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Split.\n**Day 8-12:** Visit Split for 5 days.\n**Day 12:** Fly from Split to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Riga.\n**Day 16-20:** Visit Riga for 5 days.",
    "id": "trip_planning_example_834",
    "estimated_output_tokens": 1907,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Split, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Paris, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Fixed Schedule: Day 4 - 7.\n* City: Geneva, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 7).\n |- The departure day of Frankfurt is Day 3. The arrival day of Dubrovnik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Paris, Helsinki, Riga] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 4 - 7).\n   |- The departure day of Split is Day 7. The arrival day of Dubrovnik is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 4 - 7).\n   |- The departure day of Paris is Day 7. The arrival day of Dubrovnik is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Frankfurt to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 4 - 7).\n   |- The departure day of Helsinki is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Helsinki to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 7 - 8).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Geneva is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Frankfurt, Helsinki, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Frankfurt, Helsinki, Dubrovnik, Geneva].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Paris, Riga] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Geneva to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Frankfurt, Helsinki, Dubrovnik, Geneva, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Riga] and explore these options in order.\n           |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Split to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Frankfurt, Helsinki, Dubrovnik, Geneva, Split, Paris].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Paris to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Frankfurt, Helsinki, Dubrovnik, Geneva, Split, Paris, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Split.\n**Day 8-12:** Visit Split for 5 days.\n**Day 12:** Fly from Split to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Riga.\n**Day 16-20:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Amsterdam**Venice**Nice**Stockholm**Krakow**Vilnius",
    "ground_truth_durations": "4**2**2**2**4**4**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Amsterdam",
        "Nice"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Nice",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You plan to stay in Venice for 2 days. During day 5 and day 6, you have to attend a conference in Venice. You would like to visit Nice for 2 days. You have to attend a workshop in Nice between day 6 and day 7. You want to spend 2 days in Amsterdam. You plan to visit relatives in Amsterdam between day 4 and day 5. You plan to stay in Vilnius for 5 days. You plan to stay in Krakow for 4 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nMykonos and Nice, Stockholm and Krakow, from Krakow to Vilnius, Venice and Nice, Amsterdam and Nice, Amsterdam and Stockholm, Amsterdam and Vilnius, Amsterdam and Venice, Mykonos and Amsterdam, Amsterdam and Krakow, Nice and Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You plan to stay in Venice for 2 days. During day 5 and day 6, you have to attend a conference in Venice. You would like to visit Nice for 2 days. You have to attend a workshop in Nice between day 6 and day 7. You want to spend 2 days in Amsterdam. You plan to visit relatives in Amsterdam between day 4 and day 5. You plan to stay in Vilnius for 5 days. You plan to stay in Krakow for 4 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Nice, from Stockholm to Krakow, from Krakow to Vilnius, from Venice to Nice, from Amsterdam to Nice, from Amsterdam to Stockholm, from Amsterdam to Vilnius, from Amsterdam to Venice, from Mykonos to Amsterdam, from Amsterdam to Krakow, from Nice to Stockholm.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Venice.\n**Day 5-6:** Visit Venice for 2 days.\n**Day 6:** Fly from Venice to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_835",
    "estimated_output_tokens": 1839,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 4 - 5.\n* City: Venice, Fixed Schedule: Day 5 - 6.\n* City: Nice, Fixed Schedule: Day 6 - 7.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Vilnius, Krakow, Stockholm] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 4 - 5).\n |- The departure day of Mykonos is Day 4. The arrival day of Amsterdam is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 6 - 7).\n     |- The departure day of Venice is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Mykonos, Amsterdam, Venice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Mykonos, Amsterdam, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Stockholm] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Nice to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Nice to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Mykonos, Amsterdam, Venice, Nice, Stockholm].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Stockholm to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Stockholm to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Mykonos, Amsterdam, Venice, Nice, Stockholm, Krakow].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Krakow to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Mykonos, Amsterdam, Venice, Nice, Stockholm, Krakow, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Venice.\n**Day 5-6:** Visit Venice for 2 days.\n**Day 6:** Fly from Venice to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Stockholm.\n**Day 7-10:** Visit Stockholm for 4 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Athens**Istanbul**Tallinn**Warsaw**Reykjavik**Stuttgart",
    "ground_truth_durations": "4**3**3**4**4**5**5",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You plan to stay in Warsaw for 4 days. You would like to visit Stuttgart for 5 days. You would like to visit Tallinn for 4 days. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 14 and day 18. You plan to stay in Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 1 and day 4. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nIstanbul and Warsaw, Tallinn and Warsaw, Warsaw and Stuttgart, Athens and Warsaw, from Dubrovnik to Istanbul, Istanbul and Stuttgart, Athens and Istanbul, Athens and Stuttgart, Dubrovnik and Athens, from Reykjavik to Athens, Warsaw and Reykjavik, from Reykjavik to Stuttgart, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You plan to stay in Warsaw for 4 days. You would like to visit Stuttgart for 5 days. You would like to visit Tallinn for 4 days. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 14 and day 18. You plan to stay in Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 1 and day 4. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Warsaw, from Tallinn to Warsaw, from Warsaw to Stuttgart, from Athens to Warsaw, from Dubrovnik to Istanbul, from Istanbul to Stuttgart, from Athens to Istanbul, from Athens to Stuttgart, from Dubrovnik to Athens, from Reykjavik to Athens, from Warsaw to Reykjavik, from Reykjavik to Stuttgart, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Athens.\n**Day 4-6:** Visit Athens for 3 days.\n**Day 6:** Fly from Athens to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Stuttgart.\n**Day 18-22:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_836",
    "estimated_output_tokens": 3541,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Warsaw, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Warsaw, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 14 - 18).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Reykjavik is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Warsaw, Stuttgart, Tallinn, Istanbul] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 14 - 18).\n   |- The departure day of Athens is Day 6. The arrival day of Reykjavik is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Stuttgart, Tallinn, Istanbul] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 14 - 18).\n     |- The departure day of Warsaw is Day 9. The arrival day of Reykjavik is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Athens, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Tallinn, Istanbul] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 14 - 18).\n       |- The departure day of Stuttgart is Day 13. The arrival day of Reykjavik is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dubrovnik, Athens, Warsaw, Stuttgart].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Stuttgart to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stuttgart to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 14 - 18).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Reykjavik is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Athens, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Istanbul] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Stuttgart to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Stuttgart to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stuttgart to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Athens to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 14 - 18).\n     |- The departure day of Istanbul is Day 8. The arrival day of Reykjavik is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Athens, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Stuttgart, Tallinn] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 14 - 18).\n       |- The departure day of Warsaw is Day 11. The arrival day of Reykjavik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Athens, Istanbul, Warsaw].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Tallinn] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Warsaw to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 18).\n         |- The departure day of Stuttgart is Day 15. The arrival day of Reykjavik is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Warsaw to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Istanbul to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 14 - 18).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Reykjavik is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Athens, Istanbul, Stuttgart].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stuttgart to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stuttgart to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 14 - 18).\n       |- The departure day of Tallinn is Day 11. The arrival day of Reykjavik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Athens, Istanbul, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Tallinn to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 18).\n         |- The departure day of Warsaw is Day 14. The arrival day of Reykjavik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Athens, Istanbul, Tallinn, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Warsaw to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dubrovnik, Athens, Istanbul, Tallinn, Warsaw, Reykjavik].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Reykjavik to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Dubrovnik, Athens, Istanbul, Tallinn, Warsaw, Reykjavik, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Athens.\n**Day 4-6:** Visit Athens for 3 days.\n**Day 6:** Fly from Athens to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Warsaw.\n**Day 11-14:** Visit Warsaw for 4 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Stuttgart.\n**Day 18-22:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Milan**Krakow**Valencia**Geneva**Dubrovnik**Amsterdam",
    "ground_truth_durations": "2**2**5**3**2**4**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 2 days. You want to spend 2 days in Geneva. You would like to visit Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 13 and day 16. You would like to visit Krakow for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Valencia for 3 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 2 and day 3.\n\nHere are the cities that have direct flights:\nValencia and Geneva, Valencia and Amsterdam, Milan and Amsterdam, Krakow and Valencia, Milan and Valencia, Geneva and Amsterdam, Mykonos and Milan, Geneva and Dubrovnik, Krakow and Amsterdam, Milan and Krakow, Dubrovnik and Amsterdam, Mykonos and Geneva, Mykonos and Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 2 days. You want to spend 2 days in Geneva. You would like to visit Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 13 and day 16. You would like to visit Krakow for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Valencia for 3 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 2 and day 3.\n\nHere are the cities that have direct flights:\nfrom Valencia to Geneva, from Valencia to Amsterdam, from Milan to Amsterdam, from Krakow to Valencia, from Milan to Valencia, from Geneva to Amsterdam, from Mykonos to Milan, from Geneva to Dubrovnik, from Krakow to Amsterdam, from Milan to Krakow, from Dubrovnik to Amsterdam, from Mykonos to Geneva, from Mykonos to Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Milan.\n**Day 2-3:** Visit Milan for 2 days.\n**Day 3:** Fly from Milan to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.\n**Day 9:** Fly from Valencia to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Dubrovnik.\n**Day 10-13:** Visit Dubrovnik for 4 days.\n**Day 13:** Fly from Dubrovnik to Amsterdam.\n**Day 13-16:** Visit Amsterdam for 4 days.",
    "id": "trip_planning_example_837",
    "estimated_output_tokens": 1952,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Krakow, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 2 - 3.\n* City: Amsterdam, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Krakow, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Geneva, Krakow, Dubrovnik, Valencia] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 2 - 3).\n |- The departure day of Mykonos is Day 2. The arrival day of Milan is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 13 - 16).\n   |- The departure day of Milan is Day 3. The arrival day of Amsterdam is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Mykonos, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Dubrovnik, Valencia] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 13 - 16).\n     |- The departure day of Krakow is Day 7. The arrival day of Amsterdam is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Mykonos, Milan, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Valencia] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Krakow to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 13 - 16).\n       |- The departure day of Valencia is Day 9. The arrival day of Amsterdam is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Mykonos, Milan, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Valencia to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 13 - 16).\n         |- The departure day of Geneva is Day 10. The arrival day of Amsterdam is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Mykonos, Milan, Krakow, Valencia, Geneva].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Geneva to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 13 - 16).\n           |- The departure day of Dubrovnik is Day 13. The arrival day of Amsterdam is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Mykonos, Milan, Krakow, Valencia, Geneva, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Dubrovnik to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Mykonos, Milan, Krakow, Valencia, Geneva, Dubrovnik, Amsterdam].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Milan.\n**Day 2-3:** Visit Milan for 2 days.\n**Day 3:** Fly from Milan to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.\n**Day 9:** Fly from Valencia to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Dubrovnik.\n**Day 10-13:** Visit Dubrovnik for 4 days.\n**Day 13:** Fly from Dubrovnik to Amsterdam.\n**Day 13-16:** Visit Amsterdam for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Oslo**Riga**Bucharest**Naples**London**Paris",
    "ground_truth_durations": "2**3**2**3**5**2**5",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "London"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Oslo",
        "Naples"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "London",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You want to spend 2 days in Riga. You want to spend 2 days in London. You plan to visit relatives in London between day 11 and day 12. You plan to stay in Oslo for 3 days. You plan to stay in Paris for 5 days. You would like to meet your friends at Paris between day 12 and day 16 to tour together. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You would like to visit Naples for 5 days.\n\nHere are the cities that have direct flights:\nNaples and London, Bucharest and Naples, Oslo and Paris, Riga and Paris, Venice and Paris, Oslo and Bucharest, Bucharest and London, Venice and Naples, Oslo and Riga, Riga and Bucharest, Oslo and London, Venice and Oslo, Oslo and Naples, Bucharest and Paris, Venice and London, Naples and Paris, London and Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You want to spend 2 days in Riga. You want to spend 2 days in London. You plan to visit relatives in London between day 11 and day 12. You plan to stay in Oslo for 3 days. You plan to stay in Paris for 5 days. You would like to meet your friends at Paris between day 12 and day 16 to tour together. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You would like to visit Naples for 5 days.\n\nHere are the cities that have direct flights:\nfrom Naples to London, from Bucharest to Naples, from Oslo to Paris, from Riga to Paris, from Venice to Paris, from Oslo to Bucharest, from Bucharest to London, from Venice to Naples, from Oslo to Riga, from Riga to Bucharest, from Oslo to London, from Venice to Oslo, from Oslo to Naples, from Bucharest to Paris, from Venice to London, from Naples to Paris, from London to Paris.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Paris.\n**Day 12-16:** Visit Paris for 5 days.",
    "id": "trip_planning_example_838",
    "estimated_output_tokens": 1822,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Oslo, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: London, Fixed Schedule: Day 11 - 12.\n* City: Paris, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Oslo, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Riga, Oslo, Naples] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Venice is Day 2. The arrival day of Bucharest is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Oslo, Naples] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 5 - 7).\n   |- The departure day of Oslo is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n     |- The departure day of Riga is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Venice, Oslo, Riga].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Riga to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 11 - 12).\n       |- The departure day of Bucharest is Day 7. The arrival day of London is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Venice, Oslo, Riga, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n         |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Bucharest to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 11 - 12).\n         |- The departure day of Naples is Day 11. The arrival day of London is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Oslo, Riga, Bucharest, Naples].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: London.\n           |- Try arranging to visit London from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Naples to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Paris (Day 12 - 16).\n           |- The departure day of London is Day 12. The arrival day of Paris is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Venice, Oslo, Riga, Bucharest, Naples, London].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Paris.\n             |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from London to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Venice, Oslo, Riga, Bucharest, Naples, London, Paris].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Istanbul**Naples**Bucharest**Vienna**Krakow**Lisbon",
    "ground_truth_durations": "2**5**3**5**2**5**5",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Istanbul",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You have to attend a workshop in Naples between day 6 and day 8. You want to spend 2 days in Edinburgh. During day 1 and day 2, you have to attend a conference in Edinburgh. You would like to visit Bucharest for 5 days. You want to spend 2 days in Vienna. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 17 and day 21. You would like to visit Krakow for 5 days. You plan to stay in Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Bucharest, Naples and Bucharest, Edinburgh and Krakow, Istanbul and Lisbon, Naples and Lisbon, Istanbul and Krakow, Edinburgh and Istanbul, Krakow and Lisbon, Bucharest and Lisbon, Vienna and Lisbon, Istanbul and Vienna, Vienna and Krakow, Bucharest and Vienna, Naples and Vienna, Istanbul and Naples.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You have to attend a workshop in Naples between day 6 and day 8. You want to spend 2 days in Edinburgh. During day 1 and day 2, you have to attend a conference in Edinburgh. You would like to visit Bucharest for 5 days. You want to spend 2 days in Vienna. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 17 and day 21. You would like to visit Krakow for 5 days. You plan to stay in Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Bucharest, from Naples to Bucharest, from Edinburgh to Krakow, from Istanbul to Lisbon, from Naples to Lisbon, from Istanbul to Krakow, from Edinburgh to Istanbul, from Krakow to Lisbon, from Bucharest to Lisbon, from Vienna to Lisbon, from Istanbul to Vienna, from Vienna to Krakow, from Bucharest to Vienna, from Naples to Vienna, from Istanbul to Naples.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Bucharest.\n**Day 8-12:** Visit Bucharest for 5 days.\n**Day 12:** Fly from Bucharest to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Krakow.\n**Day 13-17:** Visit Krakow for 5 days.\n**Day 17:** Fly from Krakow to Lisbon.\n**Day 17-21:** Visit Lisbon for 5 days.",
    "id": "trip_planning_example_839",
    "estimated_output_tokens": 2116,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Bucharest, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Krakow, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Naples, Fixed Schedule: Day 6 - 8.\n* City: Lisbon, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Krakow, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 6 - 8).\n |- The departure day of Edinburgh is Day 2. The arrival day of Naples is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna, Krakow, Istanbul] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 6 - 8).\n   |- The departure day of Krakow is Day 6. The arrival day of Naples is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 6 - 8).\n   |- The departure day of Istanbul is Day 6. The arrival day of Naples is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Istanbul to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 17 - 21).\n     |- The departure day of Naples is Day 8. The arrival day of Lisbon is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Istanbul, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna, Krakow] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Naples to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 17 - 21).\n       |- The departure day of Bucharest is Day 12. The arrival day of Lisbon is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Edinburgh, Istanbul, Naples, Bucharest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Krakow] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Bucharest to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 17 - 21).\n         |- The departure day of Vienna is Day 13. The arrival day of Lisbon is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Istanbul, Naples, Bucharest, Vienna].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vienna to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 17 - 21).\n           |- The departure day of Krakow is Day 17. The arrival day of Lisbon is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Edinburgh, Istanbul, Naples, Bucharest, Vienna, Krakow].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Krakow to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Edinburgh, Istanbul, Naples, Bucharest, Vienna, Krakow, Lisbon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Bucharest.\n**Day 8-12:** Visit Bucharest for 5 days.\n**Day 12:** Fly from Bucharest to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Krakow.\n**Day 13-17:** Visit Krakow for 5 days.\n**Day 17:** Fly from Krakow to Lisbon.\n**Day 17-21:** Visit Lisbon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Seville**Lisbon**Krakow**Oslo**Istanbul**Salzburg",
    "ground_truth_durations": "3**4**2**3**3**2**2",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Seville",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 3 days. You want to spend 3 days in Krakow. You want to meet a friend in Krakow between day 7 and day 9. You plan to stay in Istanbul for 2 days. You want to spend 4 days in Seville. You would like to visit Amsterdam for 3 days. You are going to attend a wedding in Amsterdam between day 1 and day 3. You want to spend 2 days in Lisbon. You plan to stay in Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Istanbul, Krakow and Oslo, Lisbon and Oslo, Amsterdam and Lisbon, Amsterdam and Krakow, Lisbon and Istanbul, Krakow and Istanbul, Amsterdam and Seville, Lisbon and Krakow, Istanbul and Salzburg, Oslo and Istanbul, Amsterdam and Oslo, Seville and Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 3 days. You want to spend 3 days in Krakow. You want to meet a friend in Krakow between day 7 and day 9. You plan to stay in Istanbul for 2 days. You want to spend 4 days in Seville. You would like to visit Amsterdam for 3 days. You are going to attend a wedding in Amsterdam between day 1 and day 3. You want to spend 2 days in Lisbon. You plan to stay in Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Istanbul, from Krakow to Oslo, from Lisbon to Oslo, from Amsterdam to Lisbon, from Amsterdam to Krakow, from Lisbon to Istanbul, from Krakow to Istanbul, from Amsterdam to Seville, from Lisbon to Krakow, from Istanbul to Salzburg, from Oslo to Istanbul, from Amsterdam to Oslo, from Seville to Lisbon.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Seville.\n**Day 3-6:** Visit Seville for 4 days.\n**Day 6:** Fly from Seville to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Salzburg.\n**Day 12-13:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_840",
    "estimated_output_tokens": 3415,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Istanbul, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 3.\n* City: Krakow, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Lisbon, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 9).\n |- The departure day of Amsterdam is Day 3. The arrival day of Krakow is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Istanbul, Seville, Lisbon, Salzburg] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Amsterdam to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 7 - 9).\n   |- The departure day of Oslo is Day 5. The arrival day of Krakow is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Seville, Lisbon, Salzburg] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 7 - 9).\n     |- The departure day of Istanbul is Day 6. The arrival day of Krakow is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Amsterdam, Oslo, Istanbul].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Lisbon, Salzburg] and explore these options in order.\n       |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Istanbul to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Istanbul to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Istanbul to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n       |- The departure day of Salzburg is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Amsterdam, Oslo, Istanbul, Salzburg].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Salzburg to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Oslo to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Amsterdam to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 7 - 9).\n   |- The departure day of Istanbul is Day 4. The arrival day of Krakow is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Amsterdam, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Seville, Lisbon, Salzburg] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 7 - 9).\n     |- The departure day of Salzburg is Day 5. The arrival day of Krakow is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Amsterdam, Istanbul, Salzburg].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Seville, Lisbon] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Salzburg to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Salzburg to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Salzburg to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 7 - 9).\n   |- The departure day of Seville is Day 6. The arrival day of Krakow is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Istanbul, Lisbon, Salzburg] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Seville to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n     |- The departure day of Lisbon is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Amsterdam, Seville, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Amsterdam, Seville, Lisbon, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Istanbul, Salzburg] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Krakow to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Amsterdam, Seville, Lisbon, Krakow, Oslo].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Oslo to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Amsterdam, Seville, Lisbon, Krakow, Oslo, Istanbul].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Istanbul to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Amsterdam, Seville, Lisbon, Krakow, Oslo, Istanbul, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Seville.\n**Day 3-6:** Visit Seville for 4 days.\n**Day 6:** Fly from Seville to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Salzburg.\n**Day 12-13:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Vilnius**Helsinki**Prague**Bucharest**Lisbon**Venice",
    "ground_truth_durations": "3**5**3**4**4**4**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. You plan to visit relatives in Vilnius between day 3 and day 7. You plan to stay in Lisbon for 4 days. During day 15 and day 18, you have to attend a conference in Lisbon. You would like to visit Bucharest for 4 days. You want to spend 3 days in Helsinki. You are going to attend a wedding in Helsinki between day 7 and day 9. You want to spend 3 days in Istanbul. You would like to visit Venice for 3 days. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nPrague and Lisbon, Istanbul and Helsinki, Lisbon and Venice, Prague and Bucharest, Istanbul and Venice, Istanbul and Lisbon, Helsinki and Venice, Istanbul and Vilnius, Bucharest and Lisbon, Istanbul and Prague, Vilnius and Helsinki, Helsinki and Lisbon, Istanbul and Bucharest, Helsinki and Prague.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 5 days. You plan to visit relatives in Vilnius between day 3 and day 7. You plan to stay in Lisbon for 4 days. During day 15 and day 18, you have to attend a conference in Lisbon. You would like to visit Bucharest for 4 days. You want to spend 3 days in Helsinki. You are going to attend a wedding in Helsinki between day 7 and day 9. You want to spend 3 days in Istanbul. You would like to visit Venice for 3 days. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Lisbon, from Istanbul to Helsinki, from Lisbon to Venice, from Prague to Bucharest, from Istanbul to Venice, from Istanbul to Lisbon, from Helsinki to Venice, from Istanbul to Vilnius, from Bucharest to Lisbon, from Istanbul to Prague, from Vilnius to Helsinki, from Helsinki to Lisbon, from Istanbul to Bucharest, from Helsinki to Prague.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Vilnius.\n**Day 3-7:** Visit Vilnius for 5 days.\n**Day 7:** Fly from Vilnius to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Prague.\n**Day 9-12:** Visit Prague for 4 days.\n**Day 12:** Fly from Prague to Bucharest.\n**Day 12-15:** Visit Bucharest for 4 days.\n**Day 15:** Fly from Bucharest to Lisbon.\n**Day 15-18:** Visit Lisbon for 4 days.\n**Day 18:** Fly from Lisbon to Venice.\n**Day 18-20:** Visit Venice for 3 days.",
    "id": "trip_planning_example_841",
    "estimated_output_tokens": 2226,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Bucharest, Duration: 4 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Istanbul, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 3 - 7.\n* City: Helsinki, Fixed Schedule: Day 7 - 9.\n* City: Lisbon, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Istanbul, Venice, Prague] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 3 - 7).\n |- The departure day of Bucharest is Day 4. The arrival day of Vilnius is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 3 - 7).\n |- The departure day of Istanbul is Day 3. The arrival day of Vilnius is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 7 - 9).\n   |- The departure day of Vilnius is Day 7. The arrival day of Helsinki is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Vilnius].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 15 - 18).\n     |- The departure day of Helsinki is Day 9. The arrival day of Lisbon is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Venice, Prague] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 15 - 18).\n       |- The departure day of Venice is Day 11. The arrival day of Lisbon is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Vilnius, Helsinki, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Prague] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Venice to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Venice to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 15 - 18).\n       |- The departure day of Prague is Day 12. The arrival day of Lisbon is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Vilnius, Helsinki, Prague].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Venice] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Prague to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 15 - 18).\n         |- The departure day of Bucharest is Day 15. The arrival day of Lisbon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Vilnius, Helsinki, Prague, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Bucharest to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Istanbul, Vilnius, Helsinki, Prague, Bucharest, Lisbon].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n             |- Try arranging to visit Venice from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Lisbon to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Istanbul, Vilnius, Helsinki, Prague, Bucharest, Lisbon, Venice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Vilnius.\n**Day 3-7:** Visit Vilnius for 5 days.\n**Day 7:** Fly from Vilnius to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Prague.\n**Day 9-12:** Visit Prague for 4 days.\n**Day 12:** Fly from Prague to Bucharest.\n**Day 12-15:** Visit Bucharest for 4 days.\n**Day 15:** Fly from Bucharest to Lisbon.\n**Day 15-18:** Visit Lisbon for 4 days.\n**Day 18:** Fly from Lisbon to Venice.\n**Day 18-20:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Bucharest**Valencia**Seville**Amsterdam**Split**Stuttgart",
    "ground_truth_durations": "2**4**5**3**5**3**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 15,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Athens"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 4 days in Bucharest. You would like to visit Athens for 2 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 9 and day 11. You would like to visit Amsterdam for 5 days. You want to spend 2 days in Stuttgart. You would like to visit Split for 3 days. From day 15 to day 17, there is a annual show you want to attend in Split.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, Valencia and Amsterdam, Bucharest and Valencia, Amsterdam and Stuttgart, Athens and Split, Athens and Bucharest, Valencia and Stuttgart, Athens and Amsterdam, Seville and Amsterdam, Valencia and Seville, Athens and Stuttgart, Split and Stuttgart, Amsterdam and Split, Bucharest and Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 4 days in Bucharest. You would like to visit Athens for 2 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 9 and day 11. You would like to visit Amsterdam for 5 days. You want to spend 2 days in Stuttgart. You would like to visit Split for 3 days. From day 15 to day 17, there is a annual show you want to attend in Split.\n\nHere are the cities that have direct flights:\nfrom Valencia to Athens, from Valencia to Amsterdam, from Bucharest to Valencia, from Amsterdam to Stuttgart, from Athens to Split, from Athens to Bucharest, from Valencia to Stuttgart, from Athens to Amsterdam, from Seville to Amsterdam, from Valencia to Seville, from Athens to Stuttgart, from Split to Stuttgart, from Amsterdam to Split, from Bucharest to Amsterdam.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Bucharest.\n**Day 2-5:** Visit Bucharest for 4 days.\n**Day 5:** Fly from Bucharest to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Seville.\n**Day 9-11:** Visit Seville for 3 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-15:** Visit Amsterdam for 5 days.\n**Day 15:** Fly from Amsterdam to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_842",
    "estimated_output_tokens": 5252,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Amsterdam, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 9 - 11.\n* City: Split, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Athens, Amsterdam, Stuttgart] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 11).\n |- The departure day of Valencia is Day 5. The arrival day of Seville is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Athens, Amsterdam, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 11).\n   |- The departure day of Athens is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 11).\n     |- The departure day of Bucharest is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Athens, Bucharest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Bucharest to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Seville is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Athens to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 11).\n     |- The departure day of Stuttgart is Day 7. The arrival day of Seville is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Athens, Stuttgart].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Stuttgart to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Stuttgart to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 11).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 11).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Athens, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stuttgart to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stuttgart to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 11).\n |- The departure day of Bucharest is Day 4. The arrival day of Seville is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Amsterdam, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Bucharest to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 11).\n   |- The departure day of Valencia is Day 8. The arrival day of Seville is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Amsterdam, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Valencia to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 9 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Valencia, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Athens to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Valencia to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 12. The arrival day of Seville is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Valencia to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 9 - 11).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Valencia, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stuttgart to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Bucharest to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 11).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Seville is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 9 - 11).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Amsterdam, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stuttgart to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Bucharest to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 11).\n |- The departure day of Athens is Day 2. The arrival day of Seville is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Amsterdam, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Athens to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 11).\n   |- The departure day of Bucharest is Day 5. The arrival day of Seville is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Amsterdam, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Bucharest to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 11).\n     |- The departure day of Valencia is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Bucharest, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 15 - 17).\n       |- The departure day of Seville is Day 11. The arrival day of Split is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Bucharest, Valencia, Seville].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Seville to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 15 - 17).\n         |- The departure day of Amsterdam is Day 15. The arrival day of Split is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Bucharest, Valencia, Seville, Amsterdam].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Split.\n           |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Amsterdam to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Athens, Bucharest, Valencia, Seville, Amsterdam, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Split to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Athens, Bucharest, Valencia, Seville, Amsterdam, Split, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Bucharest.\n**Day 2-5:** Visit Bucharest for 4 days.\n**Day 5:** Fly from Bucharest to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Seville.\n**Day 9-11:** Visit Seville for 3 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-15:** Visit Amsterdam for 5 days.\n**Day 15:** Fly from Amsterdam to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Milan**Berlin**Porto**Munich**Nice**Lyon",
    "ground_truth_durations": "5**3**5**2**2**4**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Milan",
        "Berlin"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to visit relatives in Munich between day 12 and day 13. You want to spend 4 days in Nice. You are going to attend a wedding in Nice between day 13 and day 16. You plan to stay in Milan for 3 days. You plan to stay in Berlin for 5 days. You plan to stay in Mykonos for 5 days. You would like to visit Porto for 2 days. You have to attend a workshop in Porto between day 11 and day 12. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nMykonos and Milan, Porto and Nice, Milan and Munich, Porto and Munich, Berlin and Porto, Milan and Porto, Milan and Berlin, Nice and Lyon, Munich and Nice, Mykonos and Nice, Mykonos and Munich, Berlin and Nice, Berlin and Munich, Munich and Lyon, Porto and Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to visit relatives in Munich between day 12 and day 13. You want to spend 4 days in Nice. You are going to attend a wedding in Nice between day 13 and day 16. You plan to stay in Milan for 3 days. You plan to stay in Berlin for 5 days. You plan to stay in Mykonos for 5 days. You would like to visit Porto for 2 days. You have to attend a workshop in Porto between day 11 and day 12. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Milan, from Porto to Nice, from Milan to Munich, from Porto to Munich, from Berlin to Porto, from Milan to Porto, from Milan to Berlin, from Nice to Lyon, from Munich to Nice, from Mykonos to Nice, from Mykonos to Munich, from Berlin to Nice, from Berlin to Munich, from Munich to Lyon, from Porto to Lyon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Porto.\n**Day 11-12:** Visit Porto for 2 days.\n**Day 12:** Fly from Porto to Munich.\n**Day 12-13:** Visit Munich for 2 days.\n**Day 13:** Fly from Munich to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Lyon.\n**Day 16-18:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_843",
    "estimated_output_tokens": 2681,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Milan, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 11 - 12.\n* City: Munich, Fixed Schedule: Day 12 - 13.\n* City: Nice, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Berlin, Mykonos, Lyon] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 12).\n |- The departure day of Milan is Day 3. The arrival day of Porto is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Lyon] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 11 - 12).\n   |- The departure day of Berlin is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 12).\n |- The departure day of Berlin is Day 5. The arrival day of Porto is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 12).\n |- The departure day of Mykonos is Day 5. The arrival day of Porto is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Berlin, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 12).\n   |- The departure day of Milan is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Lyon] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 12).\n     |- The departure day of Berlin is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Mykonos, Milan, Berlin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Berlin to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Munich (Day 12 - 13).\n       |- The departure day of Porto is Day 12. The arrival day of Munich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, Milan, Berlin, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 16).\n         |- The departure day of Munich is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Milan, Berlin, Porto, Munich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Munich to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Milan, Berlin, Porto, Munich, Nice].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Nice to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Mykonos, Milan, Berlin, Porto, Munich, Nice, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Porto.\n**Day 11-12:** Visit Porto for 2 days.\n**Day 12:** Fly from Porto to Munich.\n**Day 12-13:** Visit Munich for 2 days.\n**Day 13:** Fly from Munich to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Lyon.\n**Day 16-18:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Lyon**Vienna**Riga**Munich**Frankfurt**Salzburg",
    "ground_truth_durations": "5**2**4**5**2**2**5",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You want to spend 2 days in Frankfurt. You have to attend a workshop in Frankfurt between day 14 and day 15. You would like to visit Munich for 2 days. You are going to attend a wedding in Munich between day 13 and day 14. You plan to stay in Lyon for 2 days. During day 5 and day 6, you have to attend a conference in Lyon. You would like to visit Madrid for 5 days. You would like to visit Salzburg for 5 days. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nMunich and Frankfurt, from Riga to Munich, Madrid and Vienna, Lyon and Munich, Lyon and Vienna, Vienna and Munich, Riga and Frankfurt, Madrid and Munich, Vienna and Frankfurt, Madrid and Frankfurt, Frankfurt and Salzburg, Madrid and Lyon, Lyon and Frankfurt, Vienna and Riga.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You want to spend 2 days in Frankfurt. You have to attend a workshop in Frankfurt between day 14 and day 15. You would like to visit Munich for 2 days. You are going to attend a wedding in Munich between day 13 and day 14. You plan to stay in Lyon for 2 days. During day 5 and day 6, you have to attend a conference in Lyon. You would like to visit Madrid for 5 days. You would like to visit Salzburg for 5 days. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Munich to Frankfurt, from Riga to Munich, from Madrid to Vienna, from Lyon to Munich, from Lyon to Vienna, from Vienna to Munich, from Riga to Frankfurt, from Madrid to Munich, from Vienna to Frankfurt, from Madrid to Frankfurt, from Frankfurt to Salzburg, from Madrid to Lyon, from Lyon to Frankfurt, from Vienna to Riga.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Vienna.\n**Day 6-9:** Visit Vienna for 4 days.\n**Day 9:** Fly from Vienna to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Salzburg.\n**Day 15-19:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_844",
    "estimated_output_tokens": 2190,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Madrid, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 5 - 6.\n* City: Munich, Fixed Schedule: Day 13 - 14.\n* City: Frankfurt, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Madrid, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Madrid, Salzburg, Riga] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 6).\n |- The departure day of Vienna is Day 4. The arrival day of Lyon is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Salzburg, Riga] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 6).\n   |- The departure day of Riga is Day 8. The arrival day of Lyon is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 6).\n |- The departure day of Madrid is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 13 - 14).\n   |- The departure day of Lyon is Day 6. The arrival day of Munich is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Salzburg, Riga] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lyon to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 13 - 14).\n     |- The departure day of Vienna is Day 9. The arrival day of Munich is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Lyon, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Riga] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vienna to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vienna to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 13 - 14).\n       |- The departure day of Riga is Day 13. The arrival day of Munich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Lyon, Vienna, Riga].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Riga to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 14 - 15).\n         |- The departure day of Munich is Day 14. The arrival day of Frankfurt is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Lyon, Vienna, Riga, Munich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Munich to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Madrid, Lyon, Vienna, Riga, Munich, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Madrid, Lyon, Vienna, Riga, Munich, Frankfurt, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Vienna.\n**Day 6-9:** Visit Vienna for 4 days.\n**Day 9:** Fly from Vienna to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Salzburg.\n**Day 15-19:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Dublin**Istanbul**Vilnius**Copenhagen**Lisbon**Florence",
    "ground_truth_durations": "5**4**3**2**5**4**5",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Istanbul"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Dublin",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. You want to meet a friend in Dublin between day 5 and day 8. You want to spend 5 days in Florence. During day 18 and day 22, you have to attend a conference in Florence. You want to spend 5 days in Rome. You would like to visit Copenhagen for 5 days. You would like to visit Lisbon for 4 days. You would like to visit Vilnius for 2 days. You want to spend 3 days in Istanbul. You plan to visit relatives in Istanbul between day 8 and day 10.\n\nHere are the cities that have direct flights:\nDublin and Istanbul, Dublin and Lisbon, Rome and Lisbon, Rome and Copenhagen, Vilnius and Copenhagen, Lisbon and Florence, Dublin and Copenhagen, Istanbul and Copenhagen, Istanbul and Vilnius, Rome and Dublin, Copenhagen and Lisbon, Rome and Istanbul, Istanbul and Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. You want to meet a friend in Dublin between day 5 and day 8. You want to spend 5 days in Florence. During day 18 and day 22, you have to attend a conference in Florence. You want to spend 5 days in Rome. You would like to visit Copenhagen for 5 days. You would like to visit Lisbon for 4 days. You would like to visit Vilnius for 2 days. You want to spend 3 days in Istanbul. You plan to visit relatives in Istanbul between day 8 and day 10.\n\nHere are the cities that have direct flights:\nfrom Dublin to Istanbul, from Dublin to Lisbon, from Rome to Lisbon, from Rome to Copenhagen, from Vilnius to Copenhagen, from Lisbon to Florence, from Dublin to Copenhagen, from Istanbul to Copenhagen, from Istanbul to Vilnius, from Rome to Dublin, from Copenhagen to Lisbon, from Rome to Istanbul, from Istanbul to Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Dublin.\n**Day 5-8:** Visit Dublin for 4 days.\n**Day 8:** Fly from Dublin to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Lisbon.\n**Day 15-18:** Visit Lisbon for 4 days.\n**Day 18:** Fly from Lisbon to Florence.\n**Day 18-22:** Visit Florence for 5 days.",
    "id": "trip_planning_example_845",
    "estimated_output_tokens": 2608,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Rome, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 5 - 8.\n* City: Istanbul, Fixed Schedule: Day 8 - 10.\n* City: Florence, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Rome, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Copenhagen, Lisbon, Vilnius] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 5 - 8).\n |- The departure day of Rome is Day 5. The arrival day of Dublin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 8 - 10).\n   |- The departure day of Dublin is Day 8. The arrival day of Istanbul is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Dublin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Dublin to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 18 - 22).\n     |- The departure day of Istanbul is Day 10. The arrival day of Florence is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Dublin, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Vilnius] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Istanbul to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n       |- The departure day of Copenhagen is Day 14. The arrival day of Florence is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Dublin, Istanbul, Copenhagen].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Copenhagen to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 22).\n         |- The departure day of Lisbon is Day 17. The arrival day of Florence is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Rome, Dublin, Istanbul, Copenhagen, Lisbon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Lisbon to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Copenhagen to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n       |- The departure day of Lisbon is Day 13. The arrival day of Florence is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Dublin, Istanbul, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lisbon to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Istanbul to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n       |- The departure day of Vilnius is Day 11. The arrival day of Florence is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Dublin, Istanbul, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vilnius to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 18 - 22).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Florence is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Rome, Dublin, Istanbul, Vilnius, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Copenhagen to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 18 - 22).\n           |- The departure day of Lisbon is Day 18. The arrival day of Florence is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Rome, Dublin, Istanbul, Vilnius, Copenhagen, Lisbon].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Lisbon to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Rome, Dublin, Istanbul, Vilnius, Copenhagen, Lisbon, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Dublin.\n**Day 5-8:** Visit Dublin for 4 days.\n**Day 8:** Fly from Dublin to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Vilnius.\n**Day 10-11:** Visit Vilnius for 2 days.\n**Day 11:** Fly from Vilnius to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Lisbon.\n**Day 15-18:** Visit Lisbon for 4 days.\n**Day 18:** Fly from Lisbon to Florence.\n**Day 18-22:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Edinburgh**Krakow**Vilnius**Istanbul**Valencia",
    "ground_truth_durations": "5**3**4**4**2**5**5",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Berlin",
        "Edinburgh"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Berlin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Vilnius for 2 days. You would like to meet your friends at Vilnius between day 13 and day 14 to tour together. You plan to stay in Valencia for 5 days. You would like to visit Berlin for 5 days. You have to attend a workshop in Berlin between day 1 and day 5. You want to spend 5 days in Istanbul. You would like to visit Venice for 3 days. You plan to stay in Edinburgh for 4 days. During day 7 and day 10, you have to attend a conference in Edinburgh.\n\nHere are the cities that have direct flights:\nVilnius and Istanbul, Edinburgh and Krakow, Berlin and Istanbul, Berlin and Edinburgh, Berlin and Krakow, Venice and Istanbul, Venice and Edinburgh, Krakow and Istanbul, Krakow and Valencia, Edinburgh and Istanbul, from Krakow to Vilnius, Berlin and Venice, Istanbul and Valencia, Berlin and Vilnius, Berlin and Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Vilnius for 2 days. You would like to meet your friends at Vilnius between day 13 and day 14 to tour together. You plan to stay in Valencia for 5 days. You would like to visit Berlin for 5 days. You have to attend a workshop in Berlin between day 1 and day 5. You want to spend 5 days in Istanbul. You would like to visit Venice for 3 days. You plan to stay in Edinburgh for 4 days. During day 7 and day 10, you have to attend a conference in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Istanbul, from Edinburgh to Krakow, from Berlin to Istanbul, from Berlin to Edinburgh, from Berlin to Krakow, from Venice to Istanbul, from Venice to Edinburgh, from Krakow to Istanbul, from Krakow to Valencia, from Edinburgh to Istanbul, from Krakow to Vilnius, from Berlin to Venice, from Istanbul to Valencia, from Berlin to Vilnius, from Berlin to Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Valencia.\n**Day 18-22:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_846",
    "estimated_output_tokens": 2093,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Valencia, Duration: 5 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Edinburgh, Fixed Schedule: Day 7 - 10.\n* City: Vilnius, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 7 - 10).\n |- The departure day of Berlin is Day 5. The arrival day of Edinburgh is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia, Istanbul, Venice] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 10).\n   |- The departure day of Krakow is Day 8. The arrival day of Edinburgh is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 10).\n   |- The departure day of Valencia is Day 9. The arrival day of Edinburgh is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 10).\n   |- The departure day of Istanbul is Day 9. The arrival day of Edinburgh is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 10).\n   |- The departure day of Venice is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 13 - 14).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Vilnius is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Berlin, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia, Istanbul] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 13 - 14).\n       |- The departure day of Krakow is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Venice, Edinburgh, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, Venice, Edinburgh, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Istanbul] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vilnius to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vilnius to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Berlin, Venice, Edinburgh, Krakow, Vilnius, Istanbul].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Istanbul to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Berlin, Venice, Edinburgh, Krakow, Vilnius, Istanbul, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Valencia.\n**Day 18-22:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Venice**Berlin**Valencia**Rome**London**Florence",
    "ground_truth_durations": "2**2**2**5**5**2**3",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Rome"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "Berlin",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You want to meet a friend in Florence between day 13 and day 15. You plan to stay in Berlin for 2 days. You want to spend 5 days in Rome. During day 8 and day 12, you have to attend a conference in Rome. You would like to visit Valencia for 5 days. You would like to visit Edinburgh for 2 days. From day 1 to day 2, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Venice. You plan to stay in London for 2 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Venice, London and Florence, Venice and Rome, Berlin and Valencia, Edinburgh and London, Venice and Berlin, Edinburgh and Rome, Edinburgh and Berlin, Valencia and London, Berlin and Rome, Venice and London, Valencia and Rome, Rome and London, Berlin and London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You want to meet a friend in Florence between day 13 and day 15. You plan to stay in Berlin for 2 days. You want to spend 5 days in Rome. During day 8 and day 12, you have to attend a conference in Rome. You would like to visit Valencia for 5 days. You would like to visit Edinburgh for 2 days. From day 1 to day 2, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Venice. You plan to stay in London for 2 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Venice, from London to Florence, from Venice to Rome, from Berlin to Valencia, from Edinburgh to London, from Venice to Berlin, from Edinburgh to Rome, from Edinburgh to Berlin, from Valencia to London, from Berlin to Rome, from Venice to London, from Valencia to Rome, from Rome to London, from Berlin to London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to London.\n**Day 12-13:** Visit London for 2 days.\n**Day 13:** Fly from London to Florence.\n**Day 13-15:** Visit Florence for 3 days.",
    "id": "trip_planning_example_847",
    "estimated_output_tokens": 2848,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Berlin, Duration: 2 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Valencia, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 2 days.\n* City: London, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 8 - 12.\n* City: Florence, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Berlin, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 8 - 12).\n |- The departure day of Edinburgh is Day 2. The arrival day of Rome is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Venice, London] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 8 - 12).\n   |- The departure day of Berlin is Day 3. The arrival day of Rome is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Edinburgh, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, London] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Berlin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 8 - 12).\n     |- The departure day of Valencia is Day 7. The arrival day of Rome is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Edinburgh, Berlin, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, London] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 12).\n       |- The departure day of London is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Edinburgh, Berlin, Valencia, London].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from London to Rome.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Berlin to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Berlin to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 8 - 12).\n     |- The departure day of London is Day 4. The arrival day of Rome is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Edinburgh, Berlin, London].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Venice] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from London to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from London to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 8 - 12).\n   |- The departure day of Venice is Day 3. The arrival day of Rome is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Edinburgh, Venice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, London] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Venice to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 8 - 12).\n     |- The departure day of Berlin is Day 4. The arrival day of Rome is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Edinburgh, Venice, Berlin].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, London] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Berlin to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 8 - 12).\n       |- The departure day of Valencia is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Edinburgh, Venice, Berlin, Valencia].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Valencia to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 13 - 15).\n         |- The departure day of Rome is Day 12. The arrival day of Florence is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Edinburgh, Venice, Berlin, Valencia, Rome].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n           |- Try arranging to visit London from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Rome to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 13 - 15).\n           |- The departure day of London is Day 13. The arrival day of Florence is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Edinburgh, Venice, Berlin, Valencia, Rome, London].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from London to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Edinburgh, Venice, Berlin, Valencia, Rome, London, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to London.\n**Day 12-13:** Visit London for 2 days.\n**Day 13:** Fly from London to Florence.\n**Day 13-15:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Budapest**Prague**Valencia**Seville**Paris",
    "ground_truth_durations": "2**3**2**2**3**2**3",
    "num_cities": 7,
    "total_days": 11,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Seville"
      ],
      [
        "Budapest",
        "Prague"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Milan",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You plan to visit relatives in Porto between day 1 and day 2. You would like to visit Budapest for 2 days. You want to spend 3 days in Valencia. You are going to attend a wedding in Valencia between day 6 and day 8. You would like to visit Seville for 2 days. You would like to visit Paris for 3 days. You would like to meet your friends at Paris between day 9 and day 11 to tour together. You would like to visit Prague for 2 days. You plan to stay in Milan for 3 days.\n\nHere are the cities that have direct flights:\nValencia and Seville, Budapest and Prague, Porto and Valencia, Milan and Budapest, Seville and Paris, Valencia and Paris, Porto and Paris, Budapest and Paris, Milan and Valencia, Prague and Paris, Porto and Seville, Milan and Paris, Porto and Milan, Prague and Valencia, Milan and Seville, Milan and Prague.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 11 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You plan to visit relatives in Porto between day 1 and day 2. You would like to visit Budapest for 2 days. You want to spend 3 days in Valencia. You are going to attend a wedding in Valencia between day 6 and day 8. You would like to visit Seville for 2 days. You would like to visit Paris for 3 days. You would like to meet your friends at Paris between day 9 and day 11 to tour together. You would like to visit Prague for 2 days. You plan to stay in Milan for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Seville, from Budapest to Prague, from Porto to Valencia, from Milan to Budapest, from Seville to Paris, from Valencia to Paris, from Porto to Paris, from Budapest to Paris, from Milan to Valencia, from Prague to Paris, from Porto to Seville, from Milan to Paris, from Porto to Milan, from Prague to Valencia, from Milan to Seville, from Milan to Prague.\n\nFind a trip plan of visiting the cities for 11 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 11 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Valencia.\n**Day 6-8:** Visit Valencia for 3 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-11:** Visit Paris for 3 days.",
    "id": "trip_planning_example_848",
    "estimated_output_tokens": 2249,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Budapest, Duration: 2 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Seville, Duration: 2 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Prague, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Fixed Schedule: Day 6 - 8.\n* City: Paris, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Budapest, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 6 - 8).\n |- The departure day of Porto is Day 2. The arrival day of Valencia is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Seville, Prague, Milan] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 6 - 8).\n   |- The departure day of Seville is Day 3. The arrival day of Valencia is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Porto, Seville].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Prague, Milan] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Seville to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Seville to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Seville to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 6 - 8).\n   |- The departure day of Milan is Day 4. The arrival day of Valencia is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Seville, Prague] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 6 - 8).\n     |- The departure day of Budapest is Day 5. The arrival day of Valencia is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Porto, Milan, Budapest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Prague] and explore these options in order.\n       |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Budapest to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Budapest to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 6 - 8).\n       |- The departure day of Prague is Day 6. The arrival day of Valencia is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Porto, Milan, Budapest, Prague].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Prague to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 9 - 11).\n         |- The departure day of Valencia is Day 8. The arrival day of Paris is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Porto, Milan, Budapest, Prague, Valencia].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Valencia to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Paris (Day 9 - 11).\n           |- The departure day of Seville is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Porto, Milan, Budapest, Prague, Valencia, Seville].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n             |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n             |- Check for direct flight from Seville to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Porto, Milan, Budapest, Prague, Valencia, Seville, Paris].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Valencia.\n**Day 6-8:** Visit Valencia for 3 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Milan**Split**Oslo**Nice**Amsterdam**Santorini",
    "ground_truth_durations": "5**4**4**5**2**5**5",
    "num_cities": 7,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You want to spend 2 days in Nice. You plan to stay in Santorini for 5 days. From day 20 to day 24, there is a annual show you want to attend in Santorini. You plan to stay in Barcelona for 5 days. You have to attend a workshop in Barcelona between day 1 and day 5. You would like to visit Amsterdam for 5 days. You plan to stay in Split for 4 days. You are going to attend a wedding in Split between day 8 and day 11. You plan to stay in Milan for 4 days.\n\nHere are the cities that have direct flights:\nMilan and Oslo, Split and Oslo, Barcelona and Nice, Barcelona and Oslo, Barcelona and Amsterdam, Barcelona and Milan, Oslo and Amsterdam, Nice and Amsterdam, Amsterdam and Santorini, Milan and Amsterdam, Milan and Split, from Santorini to Oslo, Milan and Santorini, Barcelona and Split, Oslo and Nice, Split and Amsterdam, Barcelona and Santorini.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You want to spend 2 days in Nice. You plan to stay in Santorini for 5 days. From day 20 to day 24, there is a annual show you want to attend in Santorini. You plan to stay in Barcelona for 5 days. You have to attend a workshop in Barcelona between day 1 and day 5. You would like to visit Amsterdam for 5 days. You plan to stay in Split for 4 days. You are going to attend a wedding in Split between day 8 and day 11. You plan to stay in Milan for 4 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Oslo, from Split to Oslo, from Barcelona to Nice, from Barcelona to Oslo, from Barcelona to Amsterdam, from Barcelona to Milan, from Oslo to Amsterdam, from Nice to Amsterdam, from Amsterdam to Santorini, from Milan to Amsterdam, from Milan to Split, from Santorini to Oslo, from Milan to Santorini, from Barcelona to Split, from Oslo to Nice, from Split to Amsterdam, from Barcelona to Santorini.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 24 days:\n\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Split.\n**Day 8-11:** Visit Split for 4 days.\n**Day 11:** Fly from Split to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Nice.\n**Day 15-16:** Visit Nice for 2 days.\n**Day 16:** Fly from Nice to Amsterdam.\n**Day 16-20:** Visit Amsterdam for 5 days.\n**Day 20:** Fly from Amsterdam to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_849",
    "estimated_output_tokens": 2407,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Duration: 5 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Milan, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 5.\n* City: Split, Fixed Schedule: Day 8 - 11.\n* City: Santorini, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 8 - 11).\n |- The departure day of Barcelona is Day 5. The arrival day of Split is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Nice, Amsterdam, Milan] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 11).\n   |- The departure day of Oslo is Day 9. The arrival day of Split is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Barcelona to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 11).\n   |- The departure day of Nice is Day 6. The arrival day of Split is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Amsterdam, Milan] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Nice to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Nice to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 8 - 11).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Split is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Split is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Barcelona to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 11).\n   |- The departure day of Milan is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n     |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 20 - 24).\n     |- The departure day of Split is Day 11. The arrival day of Santorini is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Barcelona, Milan, Split].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Nice, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Split to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 20 - 24).\n       |- The departure day of Oslo is Day 15. The arrival day of Santorini is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Barcelona, Milan, Split, Oslo].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Nice from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Oslo to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 20 - 24).\n         |- The departure day of Nice is Day 16. The arrival day of Santorini is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Barcelona, Milan, Split, Oslo, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Santorini (Day 20 - 24).\n           |- The departure day of Amsterdam is Day 20. The arrival day of Santorini is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Barcelona, Milan, Split, Oslo, Nice, Amsterdam].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Amsterdam to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Barcelona, Milan, Split, Oslo, Nice, Amsterdam, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Split.\n**Day 8-11:** Visit Split for 4 days.\n**Day 11:** Fly from Split to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Nice.\n**Day 15-16:** Visit Nice for 2 days.\n**Day 16:** Fly from Nice to Amsterdam.\n**Day 16-20:** Visit Amsterdam for 5 days.\n**Day 20:** Fly from Amsterdam to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Frankfurt**Porto**Hamburg**Split**Athens**Santorini",
    "ground_truth_durations": "2**2**5**4**3**4**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Frankfurt",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Frankfurt for 2 days. From day 2 to day 3, there is a annual show you want to attend in Frankfurt. You plan to stay in Vilnius for 2 days. You want to spend 5 days in Porto. During day 3 and day 7, you have to attend a conference in Porto. You plan to stay in Athens for 4 days. You want to meet a friend in Athens between day 12 and day 15. You plan to stay in Santorini for 3 days. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nVilnius and Frankfurt, Porto and Hamburg, Hamburg and Athens, Frankfurt and Hamburg, Vilnius and Split, Hamburg and Split, Frankfurt and Porto, Frankfurt and Split, Vilnius and Athens, Athens and Santorini, Split and Athens, Frankfurt and Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Frankfurt for 2 days. From day 2 to day 3, there is a annual show you want to attend in Frankfurt. You plan to stay in Vilnius for 2 days. You want to spend 5 days in Porto. During day 3 and day 7, you have to attend a conference in Porto. You plan to stay in Athens for 4 days. You want to meet a friend in Athens between day 12 and day 15. You plan to stay in Santorini for 3 days. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Frankfurt, from Porto to Hamburg, from Hamburg to Athens, from Frankfurt to Hamburg, from Vilnius to Split, from Hamburg to Split, from Frankfurt to Porto, from Frankfurt to Split, from Vilnius to Athens, from Athens to Santorini, from Split to Athens, from Frankfurt to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Frankfurt.\n**Day 2-3:** Visit Frankfurt for 2 days.\n**Day 3:** Fly from Frankfurt to Porto.\n**Day 3-7:** Visit Porto for 5 days.\n**Day 7:** Fly from Porto to Hamburg.\n**Day 7-10:** Visit Hamburg for 4 days.\n**Day 10:** Fly from Hamburg to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_850",
    "estimated_output_tokens": 1959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Vilnius, Duration: 2 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 2 - 3.\n* City: Porto, Fixed Schedule: Day 3 - 7.\n* City: Athens, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Vilnius, Santorini, Hamburg] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 2 - 3).\n |- The departure day of Split is Day 3. The arrival day of Frankfurt is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 2 - 3).\n |- The departure day of Vilnius is Day 2. The arrival day of Frankfurt is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 3 - 7).\n   |- The departure day of Frankfurt is Day 3. The arrival day of Porto is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vilnius, Frankfurt].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Frankfurt to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 12 - 15).\n     |- The departure day of Porto is Day 7. The arrival day of Athens is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Frankfurt, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Hamburg] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Porto to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Porto to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Porto to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Athens (Day 12 - 15).\n       |- The departure day of Hamburg is Day 10. The arrival day of Athens is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vilnius, Frankfurt, Porto, Hamburg].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Santorini] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Hamburg to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Athens (Day 12 - 15).\n         |- The departure day of Split is Day 12. The arrival day of Athens is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Vilnius, Frankfurt, Porto, Hamburg, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Split to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vilnius, Frankfurt, Porto, Hamburg, Split, Athens].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Athens to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Vilnius, Frankfurt, Porto, Hamburg, Split, Athens, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Frankfurt.\n**Day 2-3:** Visit Frankfurt for 2 days.\n**Day 3:** Fly from Frankfurt to Porto.\n**Day 3-7:** Visit Porto for 5 days.\n**Day 7:** Fly from Porto to Hamburg.\n**Day 7-10:** Visit Hamburg for 4 days.\n**Day 10:** Fly from Hamburg to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Naples**London**Milan**Seville**Lisbon**Krakow",
    "ground_truth_durations": "4**3**2**3**4**5**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Milan"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Venice",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You plan to stay in Lisbon for 5 days. You plan to visit relatives in Lisbon between day 12 and day 16. You plan to stay in Naples for 3 days. During day 4 and day 6, you have to attend a conference in Naples. You want to spend 3 days in Krakow. You want to meet a friend in Krakow between day 16 and day 18. You want to spend 2 days in London. You plan to stay in Milan for 3 days. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Milan, Milan and Krakow, Naples and Lisbon, London and Lisbon, Lisbon and Krakow, Venice and Lisbon, London and Krakow, Naples and London, Venice and London, Milan and Seville, Milan and Lisbon, Naples and Milan, Seville and Lisbon, Venice and Naples.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You plan to stay in Lisbon for 5 days. You plan to visit relatives in Lisbon between day 12 and day 16. You plan to stay in Naples for 3 days. During day 4 and day 6, you have to attend a conference in Naples. You want to spend 3 days in Krakow. You want to meet a friend in Krakow between day 16 and day 18. You want to spend 2 days in London. You plan to stay in Milan for 3 days. You plan to stay in Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Milan, from Milan to Krakow, from Naples to Lisbon, from London to Lisbon, from Lisbon to Krakow, from Venice to Lisbon, from London to Krakow, from Naples to London, from Venice to London, from Milan to Seville, from Milan to Lisbon, from Naples to Milan, from Seville to Lisbon, from Venice to Naples.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Naples.\n**Day 4-6:** Visit Naples for 3 days.\n**Day 6:** Fly from Naples to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Milan.\n**Day 7-9:** Visit Milan for 3 days.\n**Day 9:** Fly from Milan to Seville.\n**Day 9-12:** Visit Seville for 4 days.\n**Day 12:** Fly from Seville to Lisbon.\n**Day 12-16:** Visit Lisbon for 5 days.\n**Day 16:** Fly from Lisbon to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_851",
    "estimated_output_tokens": 3059,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: London, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 4 - 6.\n* City: Lisbon, Fixed Schedule: Day 12 - 16.\n* City: Krakow, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: London, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, London, Milan, Venice] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of Seville is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of London is Day 2. The arrival day of Naples is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Milan, Venice] and explore these options in order.\n   |- Try arranging to visit Seville from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 4 - 6).\n   |- The departure day of Milan is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of Milan is Day 3. The arrival day of Naples is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, London, Venice] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 4 - 6).\n   |- The departure day of Seville is Day 6. The arrival day of Naples is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of Venice is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 12 - 16).\n   |- The departure day of Naples is Day 6. The arrival day of Lisbon is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, London, Milan] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Naples to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 12 - 16).\n     |- The departure day of London is Day 7. The arrival day of Lisbon is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Naples, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Milan] and explore these options in order.\n       |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from London to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from London to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 12 - 16).\n       |- The departure day of Milan is Day 9. The arrival day of Lisbon is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Naples, London, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Milan to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 12 - 16).\n         |- The departure day of Seville is Day 12. The arrival day of Lisbon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Naples, London, Milan, Seville].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Seville to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 16 - 18).\n           |- The departure day of Lisbon is Day 16. The arrival day of Krakow is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Naples, London, Milan, Seville, Lisbon].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Lisbon to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Naples, London, Milan, Seville, Lisbon, Krakow].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Naples.\n**Day 4-6:** Visit Naples for 3 days.\n**Day 6:** Fly from Naples to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Milan.\n**Day 7-9:** Visit Milan for 3 days.\n**Day 9:** Fly from Milan to Seville.\n**Day 9-12:** Visit Seville for 4 days.\n**Day 12:** Fly from Seville to Lisbon.\n**Day 12-16:** Visit Lisbon for 5 days.\n**Day 16:** Fly from Lisbon to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Geneva**Santorini**London**Helsinki**Dubrovnik**Stockholm",
    "ground_truth_durations": "2**5**5**2**4**4**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 5 days. You want to spend 2 days in Porto. You want to meet a friend in Porto between day 1 and day 2. You would like to visit Stockholm for 2 days. You have to attend a workshop in Stockholm between day 17 and day 18. You want to spend 5 days in Santorini. You want to spend 2 days in London. You want to spend 4 days in Helsinki. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nGeneva and Stockholm, Geneva and Santorini, London and Helsinki, from Stockholm to Santorini, London and Stockholm, Dubrovnik and Stockholm, Geneva and London, Santorini and London, Porto and Geneva, Helsinki and Stockholm, Geneva and Dubrovnik, Helsinki and Dubrovnik, Geneva and Helsinki.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 5 days. You want to spend 2 days in Porto. You want to meet a friend in Porto between day 1 and day 2. You would like to visit Stockholm for 2 days. You have to attend a workshop in Stockholm between day 17 and day 18. You want to spend 5 days in Santorini. You want to spend 2 days in London. You want to spend 4 days in Helsinki. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Stockholm, from Geneva to Santorini, from London to Helsinki, from Stockholm to Santorini, from London to Stockholm, from Dubrovnik to Stockholm, from Geneva to London, from Santorini to London, from Porto to Geneva, from Helsinki to Stockholm, from Geneva to Dubrovnik, from Helsinki to Dubrovnik, from Geneva to Helsinki.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Geneva.\n**Day 2-6:** Visit Geneva for 5 days.\n**Day 6:** Fly from Geneva to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to London.\n**Day 10-11:** Visit London for 2 days.\n**Day 11:** Fly from London to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n**Day 17:** Fly from Dubrovnik to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.",
    "id": "trip_planning_example_852",
    "estimated_output_tokens": 1796,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Santorini, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Geneva, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 17 - 18).\n |- The departure day of Porto is Day 2. The arrival day of Stockholm is Day 17. Day 2 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, London, Helsinki, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 17 - 18).\n   |- The departure day of Geneva is Day 6. The arrival day of Stockholm is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, London, Helsinki, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stockholm (Day 17 - 18).\n     |- The departure day of Santorini is Day 10. The arrival day of Stockholm is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Geneva, Santorini].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Helsinki, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit London from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Santorini to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 17 - 18).\n       |- The departure day of London is Day 11. The arrival day of Stockholm is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Geneva, Santorini, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stockholm (Day 17 - 18).\n         |- The departure day of Helsinki is Day 14. The arrival day of Stockholm is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Geneva, Santorini, London, Helsinki].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Helsinki to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 17 - 18).\n           |- The departure day of Dubrovnik is Day 17. The arrival day of Stockholm is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Geneva, Santorini, London, Helsinki, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Dubrovnik to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Porto, Geneva, Santorini, London, Helsinki, Dubrovnik, Stockholm].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Geneva.\n**Day 2-6:** Visit Geneva for 5 days.\n**Day 6:** Fly from Geneva to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to London.\n**Day 10-11:** Visit London for 2 days.\n**Day 11:** Fly from London to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n**Day 17:** Fly from Dubrovnik to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Rome**Budapest**Reykjavik**Lisbon**Krakow**Dublin",
    "ground_truth_durations": "5**4**3**3**4**4**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Rome",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Rome for 4 days. You have to attend a workshop in Rome between day 5 and day 8. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 10 and day 12. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 18 and day 20 to tour together. You would like to visit Budapest for 3 days. You want to spend 5 days in Bucharest. You plan to stay in Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nBudapest and Lisbon, Krakow and Dublin, Lisbon and Krakow, Lisbon and Dublin, Bucharest and Budapest, Rome and Reykjavik, Rome and Budapest, Reykjavik and Dublin, Bucharest and Lisbon, Bucharest and Dublin, Rome and Lisbon, Budapest and Reykjavik, Reykjavik and Lisbon, Bucharest and Rome, Budapest and Dublin, Rome and Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You plan to stay in Rome for 4 days. You have to attend a workshop in Rome between day 5 and day 8. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 10 and day 12. You want to spend 3 days in Dublin. You would like to meet your friends at Dublin between day 18 and day 20 to tour together. You would like to visit Budapest for 3 days. You want to spend 5 days in Bucharest. You plan to stay in Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Lisbon, from Krakow to Dublin, from Lisbon to Krakow, from Lisbon to Dublin, from Bucharest to Budapest, from Rome to Reykjavik, from Rome to Budapest, from Reykjavik to Dublin, from Bucharest to Lisbon, from Bucharest to Dublin, from Rome to Lisbon, from Budapest to Reykjavik, from Reykjavik to Lisbon, from Bucharest to Rome, from Budapest to Dublin, from Rome to Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Lisbon.\n**Day 12-15:** Visit Lisbon for 4 days.\n**Day 15:** Fly from Lisbon to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.\n**Day 18:** Fly from Krakow to Dublin.\n**Day 18-20:** Visit Dublin for 3 days.",
    "id": "trip_planning_example_853",
    "estimated_output_tokens": 2691,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Budapest, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Fixed Schedule: Day 10 - 12.\n* City: Dublin, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Budapest, Bucharest, Lisbon] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 8).\n |- The departure day of Krakow is Day 4. The arrival day of Rome is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Bucharest, Lisbon] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Krakow to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 8).\n |- The departure day of Budapest is Day 3. The arrival day of Rome is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Bucharest, Lisbon] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 5 - 8).\n   |- The departure day of Lisbon is Day 6. The arrival day of Rome is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 8).\n |- The departure day of Bucharest is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 10 - 12).\n   |- The departure day of Rome is Day 8. The arrival day of Reykjavik is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Lisbon] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Rome to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 10 - 12).\n     |- The departure day of Budapest is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Rome, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Budapest to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 18 - 20).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Dublin is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Rome, Budapest, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Lisbon] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Reykjavik to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Reykjavik to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 18 - 20).\n         |- The departure day of Lisbon is Day 15. The arrival day of Dublin is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Bucharest, Rome, Budapest, Reykjavik, Lisbon].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Lisbon to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 18 - 20).\n           |- The departure day of Krakow is Day 18. The arrival day of Dublin is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Rome, Budapest, Reykjavik, Lisbon, Krakow].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Krakow to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Bucharest, Rome, Budapest, Reykjavik, Lisbon, Krakow, Dublin].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Lisbon.\n**Day 12-15:** Visit Lisbon for 4 days.\n**Day 15:** Fly from Lisbon to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.\n**Day 18:** Fly from Krakow to Dublin.\n**Day 18-20:** Visit Dublin for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Stockholm**Santorini**Barcelona**Reykjavik**Stuttgart**Porto",
    "ground_truth_durations": "2**4**2**2**3**2**5",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. During day 5 and day 6, you have to attend a conference in Santorini. You would like to visit Porto for 5 days. You plan to stay in Reykjavik for 3 days. You would like to visit Stockholm for 4 days. You want to spend 2 days in Barcelona. You want to spend 2 days in Dubrovnik. You plan to stay in Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nStockholm and Stuttgart, Dubrovnik and Barcelona, Barcelona and Porto, Stuttgart and Porto, Santorini and Barcelona, Stockholm and Barcelona, from Reykjavik to Stuttgart, Dubrovnik and Stockholm, Stockholm and Reykjavik, from Stockholm to Santorini, Barcelona and Stuttgart, Barcelona and Reykjavik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. During day 5 and day 6, you have to attend a conference in Santorini. You would like to visit Porto for 5 days. You plan to stay in Reykjavik for 3 days. You would like to visit Stockholm for 4 days. You want to spend 2 days in Barcelona. You want to spend 2 days in Dubrovnik. You plan to stay in Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Stuttgart, from Dubrovnik to Barcelona, from Barcelona to Porto, from Stuttgart to Porto, from Santorini to Barcelona, from Stockholm to Barcelona, from Reykjavik to Stuttgart, from Dubrovnik to Stockholm, from Stockholm to Reykjavik, from Stockholm to Santorini, from Barcelona to Stuttgart, from Barcelona to Reykjavik.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to Porto.\n**Day 10-14:** Visit Porto for 5 days.",
    "id": "trip_planning_example_854",
    "estimated_output_tokens": 5909,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Porto, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Stockholm, Barcelona, Dubrovnik, Stuttgart] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Porto is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Porto to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Reykjavik is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Stockholm, Barcelona, Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 5 - 6).\n   |- The departure day of Stuttgart is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Stockholm, Barcelona, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stuttgart to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n     |- The departure day of Porto is Day 8. The arrival day of Santorini is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Stuttgart to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stuttgart to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stuttgart to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Stockholm is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Barcelona, Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Santorini is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n   |- The departure day of Barcelona is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Barcelona to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Barcelona is Day 2. The arrival day of Santorini is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Stockholm, Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Barcelona to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 5 - 6).\n   |- The departure day of Porto is Day 6. The arrival day of Santorini is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 5 - 6).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Stockholm, Dubrovnik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n     |- The departure day of Stuttgart is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Reykjavik, Stuttgart].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Stuttgart to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Barcelona to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 5 - 6).\n   |- The departure day of Stuttgart is Day 3. The arrival day of Santorini is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Stuttgart].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Stockholm, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Stuttgart to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 5 - 6).\n     |- The departure day of Porto is Day 7. The arrival day of Santorini is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stuttgart to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Stuttgart to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stuttgart to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Santorini is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Stockholm, Barcelona, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 5 - 6).\n   |- The departure day of Stockholm is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Barcelona, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Santorini to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Santorini to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Santorini to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dubrovnik, Stockholm, Santorini, Barcelona].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Barcelona to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Stockholm, Santorini, Barcelona, Porto].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Porto to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Porto to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Barcelona to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Dubrovnik, Stockholm, Santorini, Barcelona, Reykjavik].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Reykjavik to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Reykjavik to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Dubrovnik, Stockholm, Santorini, Barcelona, Reykjavik, Stuttgart].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n             |- Check for direct flight from Stuttgart to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Dubrovnik, Stockholm, Santorini, Barcelona, Reykjavik, Stuttgart, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to Porto.\n**Day 10-14:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Berlin**Budapest**Mykonos**Vienna**Brussels**Tallinn",
    "ground_truth_durations": "4**4**5**2**3**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Budapest",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 5 days. From day 7 to day 11, there is a annual show you want to attend in Budapest. You want to spend 4 days in Brussels. You want to spend 3 days in Vienna. You want to spend 4 days in Berlin. You would like to meet your friends at Berlin between day 4 and day 7 to tour together. You plan to stay in Tallinn for 4 days. You plan to stay in Warsaw for 4 days. You have to attend a workshop in Warsaw between day 1 and day 4. You want to spend 2 days in Mykonos.\n\nHere are the cities that have direct flights:\nWarsaw and Tallinn, Mykonos and Vienna, Warsaw and Brussels, Warsaw and Vienna, Brussels and Tallinn, Warsaw and Budapest, Vienna and Brussels, Berlin and Brussels, Budapest and Brussels, Berlin and Budapest, Warsaw and Berlin, Berlin and Vienna, Berlin and Tallinn, Budapest and Vienna, Budapest and Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 5 days. From day 7 to day 11, there is a annual show you want to attend in Budapest. You want to spend 4 days in Brussels. You want to spend 3 days in Vienna. You want to spend 4 days in Berlin. You would like to meet your friends at Berlin between day 4 and day 7 to tour together. You plan to stay in Tallinn for 4 days. You plan to stay in Warsaw for 4 days. You have to attend a workshop in Warsaw between day 1 and day 4. You want to spend 2 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Tallinn, from Mykonos to Vienna, from Warsaw to Brussels, from Warsaw to Vienna, from Brussels to Tallinn, from Warsaw to Budapest, from Vienna to Brussels, from Berlin to Brussels, from Budapest to Brussels, from Berlin to Budapest, from Warsaw to Berlin, from Berlin to Vienna, from Berlin to Tallinn, from Budapest to Vienna, from Budapest to Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Brussels.\n**Day 14-17:** Visit Brussels for 4 days.\n**Day 17:** Fly from Brussels to Tallinn.\n**Day 17-20:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_855",
    "estimated_output_tokens": 3028,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Brussels, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Tallinn, Duration: 4 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Fixed Schedule: Day 4 - 7.\n* City: Budapest, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 7).\n |- The departure day of Warsaw is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Warsaw to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 7 - 11).\n   |- The departure day of Berlin is Day 7. The arrival day of Budapest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Berlin, Budapest].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vienna, Tallinn, Mykonos] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Budapest to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Warsaw, Berlin, Budapest, Brussels].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Tallinn, Mykonos] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Brussels to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Brussels to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Warsaw, Berlin, Budapest, Brussels, Tallinn].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Tallinn to Vienna.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Tallinn to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Budapest to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Warsaw, Berlin, Budapest, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Tallinn, Mykonos] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Berlin, Budapest, Vienna, Brussels].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Mykonos] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Brussels to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Warsaw, Berlin, Budapest, Vienna, Brussels, Tallinn].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Tallinn to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Brussels to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vienna to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Budapest to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Warsaw, Berlin, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Vienna, Tallinn] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Mykonos to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Mykonos to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Warsaw, Berlin, Budapest, Mykonos, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Tallinn] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vienna to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Berlin, Budapest, Mykonos, Vienna, Brussels].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Brussels to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Warsaw, Berlin, Budapest, Mykonos, Vienna, Brussels, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Brussels.\n**Day 14-17:** Visit Brussels for 4 days.\n**Day 17:** Fly from Brussels to Tallinn.\n**Day 17-20:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Paris**Riga**Nice**Porto**Oslo**Tallinn",
    "ground_truth_durations": "4**3**2**5**5**3**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Nice"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Nice",
        "Porto"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Riga",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You plan to stay in Nice for 5 days. You would like to visit Porto for 5 days. You would like to visit Milan for 4 days. You plan to visit relatives in Milan between day 1 and day 4. You would like to visit Tallinn for 2 days. You want to spend 3 days in Oslo. You would like to meet your friends at Oslo between day 15 and day 17 to tour together. You want to spend 2 days in Riga. From day 6 to day 7, there is a annual show you want to attend in Riga.\n\nHere are the cities that have direct flights:\nParis and Nice, Paris and Porto, Paris and Oslo, Milan and Oslo, Riga and Nice, Nice and Oslo, Paris and Riga, Riga and Oslo, Paris and Tallinn, Milan and Riga, Oslo and Tallinn, Nice and Porto, Porto and Oslo, Milan and Paris, Milan and Porto, from Riga to Tallinn.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You plan to stay in Nice for 5 days. You would like to visit Porto for 5 days. You would like to visit Milan for 4 days. You plan to visit relatives in Milan between day 1 and day 4. You would like to visit Tallinn for 2 days. You want to spend 3 days in Oslo. You would like to meet your friends at Oslo between day 15 and day 17 to tour together. You want to spend 2 days in Riga. From day 6 to day 7, there is a annual show you want to attend in Riga.\n\nHere are the cities that have direct flights:\nfrom Paris to Nice, from Paris to Porto, from Paris to Oslo, from Milan to Oslo, from Riga to Nice, from Nice to Oslo, from Paris to Riga, from Riga to Oslo, from Paris to Tallinn, from Milan to Riga, from Oslo to Tallinn, from Nice to Porto, from Porto to Oslo, from Milan to Paris, from Milan to Porto, from Riga to Tallinn.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Paris.\n**Day 4-6:** Visit Paris for 3 days.\n**Day 6:** Fly from Paris to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_856",
    "estimated_output_tokens": 1730,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Tallinn, Duration: 2 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 4.\n* City: Riga, Fixed Schedule: Day 6 - 7.\n* City: Oslo, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 7).\n |- The departure day of Milan is Day 4. The arrival day of Riga is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Nice, Porto, Tallinn] and explore these options in order.\n   |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Milan to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 7).\n   |- The departure day of Paris is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 15 - 17).\n     |- The departure day of Riga is Day 7. The arrival day of Oslo is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Paris, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Porto, Tallinn] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 15 - 17).\n       |- The departure day of Nice is Day 11. The arrival day of Oslo is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Paris, Riga, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Tallinn] and explore these options in order.\n         |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Nice to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 15 - 17).\n         |- The departure day of Porto is Day 15. The arrival day of Oslo is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Milan, Paris, Riga, Nice, Porto].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Porto to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Milan, Paris, Riga, Nice, Porto, Oslo].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Oslo to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Milan, Paris, Riga, Nice, Porto, Oslo, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Paris.\n**Day 4-6:** Visit Paris for 3 days.\n**Day 6:** Fly from Paris to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Frankfurt**Naples**Mykonos**Geneva**Porto**Manchester",
    "ground_truth_durations": "5**2**5**3**3**2**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 5,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Hamburg",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 3 days in Geneva. You want to spend 3 days in Mykonos. You want to meet a friend in Mykonos between day 10 and day 12. You would like to visit Manchester for 4 days. You are going to attend a wedding in Manchester between day 15 and day 18. You would like to visit Hamburg for 5 days. You would like to visit Naples for 5 days. You plan to stay in Frankfurt for 2 days. From day 5 to day 6, there is a annual show you want to attend in Frankfurt.\n\nHere are the cities that have direct flights:\nHamburg and Frankfurt, Naples and Mykonos, Hamburg and Porto, from Hamburg to Geneva, Mykonos and Geneva, Frankfurt and Geneva, Frankfurt and Porto, Geneva and Porto, Geneva and Manchester, Naples and Manchester, Frankfurt and Naples, Frankfurt and Manchester, Naples and Geneva, Porto and Manchester, Hamburg and Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 3 days in Geneva. You want to spend 3 days in Mykonos. You want to meet a friend in Mykonos between day 10 and day 12. You would like to visit Manchester for 4 days. You are going to attend a wedding in Manchester between day 15 and day 18. You would like to visit Hamburg for 5 days. You would like to visit Naples for 5 days. You plan to stay in Frankfurt for 2 days. From day 5 to day 6, there is a annual show you want to attend in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Frankfurt, from Naples to Mykonos, from Hamburg to Porto, from Hamburg to Geneva, from Mykonos to Geneva, from Frankfurt to Geneva, from Frankfurt to Porto, from Geneva to Porto, from Geneva to Manchester, from Naples to Manchester, from Frankfurt to Naples, from Frankfurt to Manchester, from Naples to Geneva, from Porto to Manchester, from Hamburg to Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Mykonos.\n**Day 10-12:** Visit Mykonos for 3 days.\n**Day 12:** Fly from Mykonos to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Porto.\n**Day 14-15:** Visit Porto for 2 days.\n**Day 15:** Fly from Porto to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_857",
    "estimated_output_tokens": 3587,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Hamburg, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 5 - 6.\n* City: Mykonos, Fixed Schedule: Day 10 - 12.\n* City: Manchester, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Geneva, Hamburg, Naples] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 6).\n |- The departure day of Porto is Day 2. The arrival day of Frankfurt is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Naples] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 6).\n |- The departure day of Geneva is Day 3. The arrival day of Frankfurt is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Hamburg, Naples] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Geneva to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 5 - 6).\n   |- The departure day of Porto is Day 4. The arrival day of Frankfurt is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Naples] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 6).\n |- The departure day of Hamburg is Day 5. The arrival day of Frankfurt is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 12).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Mykonos is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Naples] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 10 - 12).\n     |- The departure day of Porto is Day 7. The arrival day of Mykonos is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Frankfurt, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Naples] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Porto to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Porto to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Frankfurt to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 10 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Frankfurt, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Naples] and explore these options in order.\n       |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 12).\n       |- The departure day of Porto is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Frankfurt, Geneva, Porto].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n         |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Porto to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 10 - 12).\n     |- The departure day of Naples is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Frankfurt, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 15 - 18).\n       |- The departure day of Mykonos is Day 12. The arrival day of Manchester is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Frankfurt, Naples, Mykonos].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Geneva] and explore these options in order.\n         |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Mykonos to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Mykonos to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 15 - 18).\n         |- The departure day of Geneva is Day 14. The arrival day of Manchester is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Frankfurt, Naples, Mykonos, Geneva].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 15 - 18).\n           |- The departure day of Porto is Day 15. The arrival day of Manchester is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Frankfurt, Naples, Mykonos, Geneva, Porto].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Manchester.\n             |- Try arranging to visit Manchester from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Porto to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Hamburg, Frankfurt, Naples, Mykonos, Geneva, Porto, Manchester].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Mykonos.\n**Day 10-12:** Visit Mykonos for 3 days.\n**Day 12:** Fly from Mykonos to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Porto.\n**Day 14-15:** Visit Porto for 2 days.\n**Day 15:** Fly from Porto to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Amsterdam**Florence**Munich**Venice**Edinburgh**Geneva",
    "ground_truth_durations": "2**3**3**3**2**5**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 2 days. You would like to visit Venice for 2 days. You plan to stay in Amsterdam for 3 days. From day 2 to day 4, there is a annual show you want to attend in Amsterdam. You want to spend 4 days in Geneva. You have to attend a workshop in Geneva between day 13 and day 16. You would like to visit Edinburgh for 5 days. You plan to stay in Munich for 3 days. You would like to visit Florence for 3 days. You want to meet a friend in Florence between day 4 and day 6.\n\nHere are the cities that have direct flights:\nMunich and Edinburgh, Bucharest and Amsterdam, Munich and Venice, Bucharest and Munich, Munich and Geneva, Amsterdam and Geneva, Amsterdam and Munich, Venice and Edinburgh, Amsterdam and Edinburgh, Amsterdam and Venice, from Florence to Munich, Edinburgh and Geneva, Amsterdam and Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 2 days. You would like to visit Venice for 2 days. You plan to stay in Amsterdam for 3 days. From day 2 to day 4, there is a annual show you want to attend in Amsterdam. You want to spend 4 days in Geneva. You have to attend a workshop in Geneva between day 13 and day 16. You would like to visit Edinburgh for 5 days. You plan to stay in Munich for 3 days. You would like to visit Florence for 3 days. You want to meet a friend in Florence between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Munich to Edinburgh, from Bucharest to Amsterdam, from Munich to Venice, from Bucharest to Munich, from Munich to Geneva, from Amsterdam to Geneva, from Amsterdam to Munich, from Venice to Edinburgh, from Amsterdam to Edinburgh, from Amsterdam to Venice, from Florence to Munich, from Edinburgh to Geneva, from Amsterdam to Florence.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Amsterdam.\n**Day 2-4:** Visit Amsterdam for 3 days.\n**Day 4:** Fly from Amsterdam to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-13:** Visit Edinburgh for 5 days.\n**Day 13:** Fly from Edinburgh to Geneva.\n**Day 13-16:** Visit Geneva for 4 days.",
    "id": "trip_planning_example_858",
    "estimated_output_tokens": 1847,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 2 - 4.\n* City: Florence, Fixed Schedule: Day 4 - 6.\n* City: Geneva, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Venice, Edinburgh, Munich] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 4).\n |- The departure day of Bucharest is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 6).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 13 - 16).\n     |- The departure day of Florence is Day 6. The arrival day of Geneva is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Edinburgh, Munich] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Florence to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Florence to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 13 - 16).\n       |- The departure day of Munich is Day 8. The arrival day of Geneva is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, Amsterdam, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Munich to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 13 - 16).\n         |- The departure day of Venice is Day 9. The arrival day of Geneva is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Bucharest, Amsterdam, Florence, Munich, Venice].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Venice to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 13 - 16).\n           |- The departure day of Edinburgh is Day 13. The arrival day of Geneva is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Bucharest, Amsterdam, Florence, Munich, Venice, Edinburgh].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Edinburgh to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Bucharest, Amsterdam, Florence, Munich, Venice, Edinburgh, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Amsterdam.\n**Day 2-4:** Visit Amsterdam for 3 days.\n**Day 4:** Fly from Amsterdam to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-13:** Visit Edinburgh for 5 days.\n**Day 13:** Fly from Edinburgh to Geneva.\n**Day 13-16:** Visit Geneva for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Madrid**Nice**Mykonos**Munich**Venice**Stuttgart",
    "ground_truth_durations": "4**2**5**2**4**5**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Munich"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Mykonos",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You plan to visit relatives in Madrid between day 4 and day 5. You want to spend 4 days in Istanbul. From day 1 to day 4, there is a annual show you want to attend in Istanbul. You would like to visit Munich for 4 days. You would like to visit Venice for 5 days. You plan to stay in Mykonos for 2 days. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 5 and day 9. You plan to stay in Stuttgart for 3 days.\n\nHere are the cities that have direct flights:\nNice and Munich, Istanbul and Venice, Nice and Mykonos, Madrid and Venice, Madrid and Munich, Nice and Venice, Madrid and Nice, Venice and Stuttgart, Istanbul and Munich, Madrid and Mykonos, Istanbul and Nice, Istanbul and Madrid, Munich and Venice, Istanbul and Stuttgart, Mykonos and Munich.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You plan to visit relatives in Madrid between day 4 and day 5. You want to spend 4 days in Istanbul. From day 1 to day 4, there is a annual show you want to attend in Istanbul. You would like to visit Munich for 4 days. You would like to visit Venice for 5 days. You plan to stay in Mykonos for 2 days. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 5 and day 9. You plan to stay in Stuttgart for 3 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Munich, from Istanbul to Venice, from Nice to Mykonos, from Madrid to Venice, from Madrid to Munich, from Nice to Venice, from Madrid to Nice, from Venice to Stuttgart, from Istanbul to Munich, from Madrid to Mykonos, from Istanbul to Nice, from Istanbul to Madrid, from Munich to Venice, from Istanbul to Stuttgart, from Mykonos to Munich.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Stuttgart.\n**Day 17-19:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_859",
    "estimated_output_tokens": 2910,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 4.\n* City: Madrid, Fixed Schedule: Day 4 - 5.\n* City: Nice, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 4 - 5).\n |- The departure day of Istanbul is Day 4. The arrival day of Madrid is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Istanbul to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 5 - 9).\n   |- The departure day of Madrid is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Madrid, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Venice, Mykonos, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Madrid, Nice, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Mykonos, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Venice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Istanbul, Madrid, Nice, Munich, Venice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Venice to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Venice to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Istanbul, Madrid, Nice, Munich, Venice, Stuttgart].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Munich to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Nice to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Istanbul, Madrid, Nice, Venice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Venice to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Venice to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Venice to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Madrid, Nice, Venice, Stuttgart].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n           |- Try arranging to visit Munich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Stuttgart to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Stuttgart to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Istanbul, Madrid, Nice, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Venice, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Mykonos to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Istanbul, Madrid, Nice, Mykonos, Munich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Munich to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Istanbul, Madrid, Nice, Mykonos, Munich, Venice].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Venice to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Istanbul, Madrid, Nice, Mykonos, Munich, Venice, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Nice.\n**Day 5-9:** Visit Nice for 5 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Stuttgart.\n**Day 17-19:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Zurich**Manchester**Lisbon**Lyon**Barcelona**Prague",
    "ground_truth_durations": "5**3**2**3**4**2**5",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Zurich",
        "Barcelona"
      ],
      [
        "Manchester",
        "Lisbon"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Manchester",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Lyon. You want to spend 3 days in Zurich. You would like to visit Lisbon for 3 days. You plan to stay in Mykonos for 5 days. You would like to visit Barcelona for 2 days. You have to attend a workshop in Barcelona between day 13 and day 14. You want to spend 5 days in Prague. From day 14 to day 18, there is a annual show you want to attend in Prague. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nLyon and Barcelona, Lisbon and Prague, Lisbon and Barcelona, Mykonos and Zurich, Zurich and Manchester, Barcelona and Prague, Lisbon and Lyon, Zurich and Prague, Zurich and Lisbon, Manchester and Prague, Zurich and Barcelona, Manchester and Lisbon, Lyon and Prague, Manchester and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Lyon. You want to spend 3 days in Zurich. You would like to visit Lisbon for 3 days. You plan to stay in Mykonos for 5 days. You would like to visit Barcelona for 2 days. You have to attend a workshop in Barcelona between day 13 and day 14. You want to spend 5 days in Prague. From day 14 to day 18, there is a annual show you want to attend in Prague. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Lyon to Barcelona, from Lisbon to Prague, from Lisbon to Barcelona, from Mykonos to Zurich, from Zurich to Manchester, from Barcelona to Prague, from Lisbon to Lyon, from Zurich to Prague, from Zurich to Lisbon, from Manchester to Prague, from Zurich to Barcelona, from Manchester to Lisbon, from Lyon to Prague, from Manchester to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.\n**Day 8:** Fly from Manchester to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Prague.\n**Day 14-18:** Visit Prague for 5 days.",
    "id": "trip_planning_example_860",
    "estimated_output_tokens": 5275,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Zurich, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Manchester, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 13 - 14.\n* City: Prague, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Zurich, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Zurich, Lisbon, Mykonos, Manchester] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 13 - 14).\n |- The departure day of Lyon is Day 4. The arrival day of Barcelona is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Lisbon, Mykonos, Manchester] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 13 - 14).\n |- The departure day of Zurich is Day 3. The arrival day of Barcelona is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Lisbon, Mykonos, Manchester] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Zurich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Zurich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 13 - 14).\n   |- The departure day of Lisbon is Day 5. The arrival day of Barcelona is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Manchester] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 13 - 14).\n     |- The departure day of Lyon is Day 8. The arrival day of Barcelona is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Lisbon, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Manchester] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Zurich to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 13 - 14).\n   |- The departure day of Manchester is Day 4. The arrival day of Barcelona is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Manchester].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Lisbon, Mykonos] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Manchester to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Barcelona (Day 13 - 14).\n     |- The departure day of Lisbon is Day 6. The arrival day of Barcelona is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Zurich, Manchester, Lisbon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Lisbon to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 13 - 14).\n       |- The departure day of Lyon is Day 9. The arrival day of Barcelona is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Zurich, Manchester, Lisbon, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Lyon to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lisbon to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Manchester to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 13 - 14).\n |- The departure day of Lisbon is Day 3. The arrival day of Barcelona is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Mykonos, Manchester] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 13 - 14).\n   |- The departure day of Lyon is Day 6. The arrival day of Barcelona is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Mykonos, Manchester] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lyon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lyon to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 13 - 14).\n |- The departure day of Mykonos is Day 5. The arrival day of Barcelona is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Lisbon, Manchester] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 13 - 14).\n   |- The departure day of Zurich is Day 7. The arrival day of Barcelona is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Lisbon, Manchester] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Barcelona (Day 13 - 14).\n     |- The departure day of Lisbon is Day 9. The arrival day of Barcelona is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Zurich, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lisbon to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Barcelona (Day 13 - 14).\n       |- The departure day of Lyon is Day 12. The arrival day of Barcelona is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, Zurich, Lisbon, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Lyon to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Barcelona (Day 13 - 14).\n     |- The departure day of Manchester is Day 8. The arrival day of Barcelona is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Zurich, Manchester].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Lisbon] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Manchester to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Barcelona (Day 13 - 14).\n       |- The departure day of Lisbon is Day 10. The arrival day of Barcelona is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Zurich, Manchester, Lisbon].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Lisbon to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Barcelona (Day 13 - 14).\n         |- The departure day of Lyon is Day 13. The arrival day of Barcelona is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Zurich, Manchester, Lisbon, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Barcelona.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lyon to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Prague (Day 14 - 18).\n           |- The departure day of Barcelona is Day 14. The arrival day of Prague is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Mykonos, Zurich, Manchester, Lisbon, Lyon, Barcelona].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Prague.\n             |- Try arranging to visit Prague from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Barcelona to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Mykonos, Zurich, Manchester, Lisbon, Lyon, Barcelona, Prague].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Manchester.\n**Day 7-8:** Visit Manchester for 2 days.\n**Day 8:** Fly from Manchester to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Prague.\n**Day 14-18:** Visit Prague for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Madrid**Santorini**Bucharest**Brussels**Stockholm**Stuttgart",
    "ground_truth_durations": "3**2**5**2**3**4**5",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Madrid"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Porto",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You plan to stay in Santorini for 5 days. You want to spend 2 days in Bucharest. You would like to meet your friends at Bucharest between day 8 and day 9 to tour together. You would like to visit Stuttgart for 5 days. You want to spend 3 days in Brussels. You want to spend 2 days in Madrid. You want to meet a friend in Madrid between day 3 and day 4. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 11 and day 14.\n\nHere are the cities that have direct flights:\nPorto and Madrid, Madrid and Stockholm, Santorini and Bucharest, Madrid and Brussels, Brussels and Stockholm, Bucharest and Brussels, Madrid and Bucharest, Porto and Brussels, Stockholm and Stuttgart, Madrid and Santorini, from Stockholm to Santorini, Porto and Stuttgart.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You plan to stay in Santorini for 5 days. You want to spend 2 days in Bucharest. You would like to meet your friends at Bucharest between day 8 and day 9 to tour together. You would like to visit Stuttgart for 5 days. You want to spend 3 days in Brussels. You want to spend 2 days in Madrid. You want to meet a friend in Madrid between day 3 and day 4. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Porto to Madrid, from Madrid to Stockholm, from Santorini to Bucharest, from Madrid to Brussels, from Brussels to Stockholm, from Bucharest to Brussels, from Madrid to Bucharest, from Porto to Brussels, from Stockholm to Stuttgart, from Madrid to Santorini, from Stockholm to Santorini, from Porto to Stuttgart.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Bucharest.\n**Day 8-9:** Visit Bucharest for 2 days.\n**Day 9:** Fly from Bucharest to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_861",
    "estimated_output_tokens": 1798,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Stuttgart, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 3 - 4.\n* City: Bucharest, Fixed Schedule: Day 8 - 9.\n* City: Stockholm, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Santorini, Stuttgart, Brussels] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 4).\n |- The departure day of Porto is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 8 - 9).\n   |- The departure day of Madrid is Day 4. The arrival day of Bucharest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Stuttgart, Brussels] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Madrid to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 8 - 9).\n     |- The departure day of Santorini is Day 8. The arrival day of Bucharest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Madrid, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Santorini to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 11 - 14).\n       |- The departure day of Bucharest is Day 9. The arrival day of Stockholm is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Madrid, Santorini, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Brussels] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Bucharest to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 11 - 14).\n         |- The departure day of Brussels is Day 11. The arrival day of Stockholm is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Madrid, Santorini, Bucharest, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Brussels to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Porto, Madrid, Santorini, Bucharest, Brussels, Stockholm].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Stockholm to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Porto, Madrid, Santorini, Bucharest, Brussels, Stockholm, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Bucharest.\n**Day 8-9:** Visit Bucharest for 2 days.\n**Day 9:** Fly from Bucharest to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Split**Geneva**Manchester**Barcelona**Hamburg**Salzburg",
    "ground_truth_durations": "4**3**3**5**2**2**3",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Split",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You plan to visit relatives in Manchester between day 8 and day 12. You would like to visit Split for 3 days. You are going to attend a wedding in Split between day 4 and day 6. You want to spend 4 days in Vilnius. You plan to stay in Salzburg for 3 days. You want to spend 2 days in Barcelona. You want to spend 2 days in Hamburg. From day 13 to day 14, there is a annual show you want to attend in Hamburg. You want to spend 3 days in Geneva.\n\nHere are the cities that have direct flights:\nGeneva and Barcelona, Barcelona and Hamburg, Geneva and Manchester, Split and Barcelona, Vilnius and Split, Split and Hamburg, Hamburg and Salzburg, from Hamburg to Geneva, from Manchester to Split, Manchester and Barcelona, Manchester and Hamburg, Split and Geneva.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You plan to visit relatives in Manchester between day 8 and day 12. You would like to visit Split for 3 days. You are going to attend a wedding in Split between day 4 and day 6. You want to spend 4 days in Vilnius. You plan to stay in Salzburg for 3 days. You want to spend 2 days in Barcelona. You want to spend 2 days in Hamburg. From day 13 to day 14, there is a annual show you want to attend in Hamburg. You want to spend 3 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Geneva to Barcelona, from Barcelona to Hamburg, from Geneva to Manchester, from Split to Barcelona, from Vilnius to Split, from Split to Hamburg, from Hamburg to Salzburg, from Hamburg to Geneva, from Manchester to Split, from Manchester to Barcelona, from Manchester to Hamburg, from Split to Geneva.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Manchester.\n**Day 8-12:** Visit Manchester for 5 days.\n**Day 12:** Fly from Manchester to Barcelona.\n**Day 12-13:** Visit Barcelona for 2 days.\n**Day 13:** Fly from Barcelona to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-16:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_862",
    "estimated_output_tokens": 2146,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Vilnius, Duration: 4 days.\n* City: Salzburg, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Geneva, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 6.\n* City: Manchester, Fixed Schedule: Day 8 - 12.\n* City: Hamburg, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Salzburg, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Barcelona, Geneva] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 6).\n |- The departure day of Vilnius is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 8 - 12).\n   |- The departure day of Split is Day 6. The arrival day of Manchester is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Barcelona, Geneva] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Split to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 8 - 12).\n     |- The departure day of Barcelona is Day 7. The arrival day of Manchester is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Split, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Geneva] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Barcelona to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Barcelona to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 8 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Split, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 14).\n       |- The departure day of Manchester is Day 12. The arrival day of Hamburg is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vilnius, Split, Geneva, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Barcelona] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Manchester to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Manchester to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 13 - 14).\n         |- The departure day of Barcelona is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Split, Geneva, Manchester, Barcelona].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Barcelona to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Vilnius, Split, Geneva, Manchester, Barcelona, Hamburg].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Hamburg to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Vilnius, Split, Geneva, Manchester, Barcelona, Hamburg, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Manchester.\n**Day 8-12:** Visit Manchester for 5 days.\n**Day 12:** Fly from Manchester to Barcelona.\n**Day 12-13:** Visit Barcelona for 2 days.\n**Day 13:** Fly from Barcelona to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-16:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Athens**Santorini**Dublin**Helsinki**Hamburg**Porto",
    "ground_truth_durations": "5**3**2**2**5**3**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Dublin"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Edinburgh",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 5 days. You would like to visit Dublin for 2 days. From day 8 to day 9, there is a annual show you want to attend in Dublin. You want to spend 3 days in Hamburg. You would like to visit Santorini for 2 days. You want to spend 5 days in Edinburgh. You have to attend a workshop in Edinburgh between day 1 and day 5. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 15 and day 17 to tour together. You would like to visit Athens for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Dublin, Dublin and Porto, Athens and Santorini, Hamburg and Porto, Edinburgh and Dublin, Edinburgh and Hamburg, Santorini and Dublin, Edinburgh and Athens, Dublin and Hamburg, Helsinki and Hamburg, Edinburgh and Porto, Dublin and Helsinki, Athens and Hamburg, Edinburgh and Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 5 days. You would like to visit Dublin for 2 days. From day 8 to day 9, there is a annual show you want to attend in Dublin. You want to spend 3 days in Hamburg. You would like to visit Santorini for 2 days. You want to spend 5 days in Edinburgh. You have to attend a workshop in Edinburgh between day 1 and day 5. You would like to visit Porto for 3 days. You would like to meet your friends at Porto between day 15 and day 17 to tour together. You would like to visit Athens for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Dublin, from Dublin to Porto, from Athens to Santorini, from Hamburg to Porto, from Edinburgh to Dublin, from Edinburgh to Hamburg, from Santorini to Dublin, from Edinburgh to Athens, from Dublin to Hamburg, from Helsinki to Hamburg, from Edinburgh to Porto, from Dublin to Helsinki, from Athens to Hamburg, from Edinburgh to Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Athens.\n**Day 5-7:** Visit Athens for 3 days.\n**Day 7:** Fly from Athens to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Porto.\n**Day 15-17:** Visit Porto for 3 days.",
    "id": "trip_planning_example_863",
    "estimated_output_tokens": 2444,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 5 days.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Hamburg, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Athens, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 5.\n* City: Dublin, Fixed Schedule: Day 8 - 9.\n* City: Porto, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 8 - 9).\n |- The departure day of Edinburgh is Day 5. The arrival day of Dublin is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Hamburg, Santorini, Athens] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 9).\n   |- The departure day of Helsinki is Day 9. The arrival day of Dublin is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 9).\n   |- The departure day of Hamburg is Day 7. The arrival day of Dublin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Hamburg].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Athens] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Hamburg to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Hamburg to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Hamburg to Athens.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Edinburgh to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 9).\n   |- The departure day of Athens is Day 7. The arrival day of Dublin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Hamburg, Santorini] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Athens to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Athens to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 8 - 9).\n     |- The departure day of Hamburg is Day 9. The arrival day of Dublin is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 8 - 9).\n     |- The departure day of Santorini is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Athens, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Santorini to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 15 - 17).\n       |- The departure day of Dublin is Day 9. The arrival day of Porto is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Athens, Santorini, Dublin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Hamburg] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Dublin to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 15 - 17).\n         |- The departure day of Helsinki is Day 13. The arrival day of Porto is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Athens, Santorini, Dublin, Helsinki].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Helsinki to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 15 - 17).\n           |- The departure day of Hamburg is Day 15. The arrival day of Porto is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Edinburgh, Athens, Santorini, Dublin, Helsinki, Hamburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Porto.\n             |- Try arranging to visit Porto from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Hamburg to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Edinburgh, Athens, Santorini, Dublin, Helsinki, Hamburg, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Athens.\n**Day 5-7:** Visit Athens for 3 days.\n**Day 7:** Fly from Athens to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Porto.\n**Day 15-17:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Budapest**Reykjavik**Vienna**Porto**Paris**Tallinn",
    "ground_truth_durations": "4**4**3**3**4**4**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Brussels",
        "Paris"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Brussels",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. From day 7 to day 9, there is a annual show you want to attend in Reykjavik. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You want to spend 4 days in Budapest. You would like to visit Vienna for 3 days. You want to spend 2 days in Tallinn. You plan to stay in Paris for 4 days. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nBrussels and Vienna, Brussels and Paris, Budapest and Reykjavik, Reykjavik and Vienna, Budapest and Vienna, Brussels and Tallinn, Vienna and Paris, Brussels and Budapest, Paris and Tallinn, Porto and Paris, Brussels and Porto, Reykjavik and Paris, Budapest and Paris, Vienna and Porto, Brussels and Reykjavik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. From day 7 to day 9, there is a annual show you want to attend in Reykjavik. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You want to spend 4 days in Budapest. You would like to visit Vienna for 3 days. You want to spend 2 days in Tallinn. You plan to stay in Paris for 4 days. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Brussels to Vienna, from Brussels to Paris, from Budapest to Reykjavik, from Reykjavik to Vienna, from Budapest to Vienna, from Brussels to Tallinn, from Vienna to Paris, from Brussels to Budapest, from Paris to Tallinn, from Porto to Paris, from Brussels to Porto, from Reykjavik to Paris, from Budapest to Paris, from Vienna to Porto, from Brussels to Reykjavik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Paris.\n**Day 14-17:** Visit Paris for 4 days.\n**Day 17:** Fly from Paris to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_864",
    "estimated_output_tokens": 2213,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Budapest, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 7 - 9).\n |- The departure day of Brussels is Day 4. The arrival day of Reykjavik is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Vienna, Tallinn, Paris, Porto] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Brussels to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 7 - 9).\n   |- The departure day of Budapest is Day 7. The arrival day of Reykjavik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Budapest to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Budapest, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Tallinn, Paris, Porto] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Reykjavik to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Budapest, Reykjavik, Vienna].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris, Porto] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vienna to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Vienna to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Budapest, Reykjavik, Vienna, Paris].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Paris to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Budapest, Reykjavik, Vienna, Paris, Tallinn].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Tallinn to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Paris to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Vienna to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Budapest, Reykjavik, Vienna, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Porto to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Porto to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Budapest, Reykjavik, Vienna, Porto, Paris].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Paris to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Brussels, Budapest, Reykjavik, Vienna, Porto, Paris, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Vienna.\n**Day 9-11:** Visit Vienna for 3 days.\n**Day 11:** Fly from Vienna to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Paris.\n**Day 14-17:** Visit Paris for 4 days.\n**Day 17:** Fly from Paris to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Paris**Stuttgart**London**Bucharest**Copenhagen**Vilnius",
    "ground_truth_durations": "2**2**2**2**3**3**4",
    "num_cities": 7,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Paris",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You would like to meet your friends at Paris between day 2 and day 3 to tour together. You would like to visit Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 3 and day 4. You plan to stay in Bucharest for 3 days. You would like to visit London for 2 days. You want to spend 4 days in Vilnius. You plan to stay in Zurich for 2 days. You have to attend a workshop in Zurich between day 1 and day 2. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nParis and Copenhagen, Zurich and Vilnius, Paris and Vilnius, Bucharest and Copenhagen, Paris and Bucharest, London and Copenhagen, Zurich and Copenhagen, Zurich and London, Zurich and Bucharest, Paris and Stuttgart, Stuttgart and London, London and Bucharest, Copenhagen and Vilnius, Zurich and Paris, Stuttgart and Copenhagen, Paris and London.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You would like to meet your friends at Paris between day 2 and day 3 to tour together. You would like to visit Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 3 and day 4. You plan to stay in Bucharest for 3 days. You would like to visit London for 2 days. You want to spend 4 days in Vilnius. You plan to stay in Zurich for 2 days. You have to attend a workshop in Zurich between day 1 and day 2. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Copenhagen, from Zurich to Vilnius, from Paris to Vilnius, from Bucharest to Copenhagen, from Paris to Bucharest, from London to Copenhagen, from Zurich to Copenhagen, from Zurich to London, from Zurich to Bucharest, from Paris to Stuttgart, from Stuttgart to London, from London to Bucharest, from Copenhagen to Vilnius, from Zurich to Paris, from Stuttgart to Copenhagen, from Paris to London.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 12 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Stuttgart.\n**Day 3-4:** Visit Stuttgart for 2 days.\n**Day 4:** Fly from Stuttgart to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_865",
    "estimated_output_tokens": 1735,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Bucharest, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 2.\n* City: Paris, Fixed Schedule: Day 2 - 3.\n* City: Stuttgart, Fixed Schedule: Day 3 - 4.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 3).\n |- The departure day of Zurich is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Zurich to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 3 - 4).\n   |- The departure day of Paris is Day 3. The arrival day of Stuttgart is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Zurich, Paris].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Paris to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Zurich, Paris, Stuttgart].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, London, Vilnius, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Stuttgart to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Stuttgart to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Zurich, Paris, Stuttgart, London].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Vilnius, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n         |- Check for direct flight from London to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 7. Current plan: [Zurich, Paris, Stuttgart, London, Bucharest].\n          |- Check whether the city with an arrival day of Day 7 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n           |- Check for direct flight from Bucharest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n           |- Check for direct flight from Bucharest to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Zurich, Paris, Stuttgart, London, Bucharest, Copenhagen].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n             |- Check for direct flight from Copenhagen to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Zurich, Paris, Stuttgart, London, Bucharest, Copenhagen, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Paris.\n**Day 2-3:** Visit Paris for 2 days.\n**Day 3:** Fly from Paris to Stuttgart.\n**Day 3-4:** Visit Stuttgart for 2 days.\n**Day 4:** Fly from Stuttgart to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Prague**Florence**Munich**Edinburgh**Geneva**Santorini",
    "ground_truth_durations": "5**4**3**3**3**3**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 3 days in Munich. You would like to visit Santorini for 2 days. You would like to visit Edinburgh for 3 days. You are going to attend a wedding in Edinburgh between day 12 and day 14. You would like to visit Riga for 5 days. You would like to visit Prague for 4 days. You want to meet a friend in Prague between day 5 and day 8. You would like to visit Florence for 3 days. You have to attend a workshop in Florence between day 8 and day 10.\n\nHere are the cities that have direct flights:\nRiga and Edinburgh, from Florence to Munich, Prague and Geneva, from Riga to Munich, Geneva and Santorini, Munich and Geneva, Prague and Florence, Prague and Munich, Munich and Edinburgh, Riga and Prague, Prague and Edinburgh, Edinburgh and Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 3 days in Munich. You would like to visit Santorini for 2 days. You would like to visit Edinburgh for 3 days. You are going to attend a wedding in Edinburgh between day 12 and day 14. You would like to visit Riga for 5 days. You would like to visit Prague for 4 days. You want to meet a friend in Prague between day 5 and day 8. You would like to visit Florence for 3 days. You have to attend a workshop in Florence between day 8 and day 10.\n\nHere are the cities that have direct flights:\nfrom Riga to Edinburgh, from Florence to Munich, from Prague to Geneva, from Riga to Munich, from Geneva to Santorini, from Munich to Geneva, from Prague to Florence, from Prague to Munich, from Munich to Edinburgh, from Riga to Prague, from Prague to Edinburgh, from Edinburgh to Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-10:** Visit Florence for 3 days.\n**Day 10:** Fly from Florence to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Edinburgh.\n**Day 12-14:** Visit Edinburgh for 3 days.\n**Day 14:** Fly from Edinburgh to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_866",
    "estimated_output_tokens": 3275,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Riga, Duration: 5 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 5 - 8.\n* City: Florence, Fixed Schedule: Day 8 - 10.\n* City: Edinburgh, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Munich, Santorini, Riga] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Geneva is Day 3. The arrival day of Prague is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Santorini, Riga] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Geneva to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 5 - 8).\n   |- The departure day of Santorini is Day 4. The arrival day of Prague is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Santorini].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Riga] and explore these options in order.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Santorini to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Munich is Day 3. The arrival day of Prague is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Riga] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Munich to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 5 - 8).\n   |- The departure day of Geneva is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Geneva to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Munich to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Santorini is Day 2. The arrival day of Prague is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Munich, Riga] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Riga is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 10).\n   |- The departure day of Prague is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Riga, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Edinburgh (Day 12 - 14).\n     |- The departure day of Florence is Day 10. The arrival day of Edinburgh is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Riga, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Florence to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Edinburgh (Day 12 - 14).\n       |- The departure day of Munich is Day 12. The arrival day of Edinburgh is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Riga, Prague, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Prague, Florence, Munich, Edinburgh].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Edinburgh to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Riga, Prague, Florence, Munich, Edinburgh, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Geneva to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Riga, Prague, Florence, Munich, Edinburgh, Geneva, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-10:** Visit Florence for 3 days.\n**Day 10:** Fly from Florence to Munich.\n**Day 10-12:** Visit Munich for 3 days.\n**Day 12:** Fly from Munich to Edinburgh.\n**Day 12-14:** Visit Edinburgh for 3 days.\n**Day 14:** Fly from Edinburgh to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Munich**Tallinn**Warsaw**Budapest**Milan**Santorini",
    "ground_truth_durations": "5**5**3**2**2**2**4",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Munich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Santorini. You want to spend 3 days in Tallinn. You would like to visit Milan for 2 days. You would like to visit Warsaw for 2 days. You plan to stay in Munich for 5 days. You would like to visit Lyon for 5 days. You would like to visit Budapest for 2 days. You are going to attend a wedding in Budapest between day 12 and day 13.\n\nHere are the cities that have direct flights:\nTallinn and Warsaw, Budapest and Milan, Munich and Milan, Munich and Budapest, Lyon and Munich, Munich and Warsaw, Warsaw and Budapest, Warsaw and Milan, Milan and Santorini, Munich and Tallinn.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Santorini. You want to spend 3 days in Tallinn. You would like to visit Milan for 2 days. You would like to visit Warsaw for 2 days. You plan to stay in Munich for 5 days. You would like to visit Lyon for 5 days. You would like to visit Budapest for 2 days. You are going to attend a wedding in Budapest between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Warsaw, from Budapest to Milan, from Munich to Milan, from Munich to Budapest, from Lyon to Munich, from Munich to Warsaw, from Warsaw to Budapest, from Warsaw to Milan, from Milan to Santorini, from Munich to Tallinn.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Warsaw.\n**Day 11-12:** Visit Warsaw for 2 days.\n**Day 12:** Fly from Warsaw to Budapest.\n**Day 12-13:** Visit Budapest for 2 days.\n**Day 13:** Fly from Budapest to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Santorini.\n**Day 14-17:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_867",
    "estimated_output_tokens": 9084,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Warsaw, Munich, Lyon] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Santorini is Day 4. The arrival day of Budapest is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Milan, Warsaw, Munich, Lyon] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Tallinn is Day 3. The arrival day of Budapest is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Warsaw, Munich, Lyon] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Tallinn to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 12 - 13).\n   |- The departure day of Warsaw is Day 4. The arrival day of Budapest is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Munich, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 12 - 13).\n     |- The departure day of Milan is Day 5. The arrival day of Budapest is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Munich, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 12 - 13).\n       |- The departure day of Santorini is Day 8. The arrival day of Budapest is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Warsaw, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Lyon] and explore these options in order.\n         |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Santorini to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Milan to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Milan to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Tallinn to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Tallinn to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Milan is Day 2. The arrival day of Budapest is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Warsaw, Munich, Lyon] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 12 - 13).\n   |- The departure day of Santorini is Day 5. The arrival day of Budapest is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw, Munich, Lyon] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Santorini to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Santorini to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Milan to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Warsaw is Day 2. The arrival day of Budapest is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Munich, Lyon] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 12 - 13).\n   |- The departure day of Milan is Day 3. The arrival day of Budapest is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Warsaw, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Munich, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 12 - 13).\n     |- The departure day of Santorini is Day 6. The arrival day of Budapest is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Warsaw, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Munich, Lyon] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Santorini to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Santorini to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Santorini to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Munich is Day 5. The arrival day of Budapest is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Warsaw, Lyon] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Munich to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Munich to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 12 - 13).\n   |- The departure day of Tallinn is Day 7. The arrival day of Budapest is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Tallinn].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Warsaw, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Tallinn to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Tallinn to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Tallinn to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 12 - 13).\n     |- The departure day of Warsaw is Day 8. The arrival day of Budapest is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Tallinn, Warsaw].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Warsaw to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Budapest (Day 12 - 13).\n       |- The departure day of Milan is Day 9. The arrival day of Budapest is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Munich, Tallinn, Warsaw, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Milan to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 12 - 13).\n         |- The departure day of Santorini is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Tallinn, Warsaw, Milan, Santorini].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Santorini to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Milan to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Warsaw to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 12 - 13).\n   |- The departure day of Milan is Day 6. The arrival day of Budapest is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Warsaw, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 12 - 13).\n     |- The departure day of Santorini is Day 9. The arrival day of Budapest is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw, Lyon] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Santorini to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Santorini to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Santorini to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 12 - 13).\n   |- The departure day of Warsaw is Day 6. The arrival day of Budapest is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Warsaw to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 12 - 13).\n     |- The departure day of Milan is Day 7. The arrival day of Budapest is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 12 - 13).\n       |- The departure day of Santorini is Day 10. The arrival day of Budapest is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Warsaw, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Santorini to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Warsaw to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Munich to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 12 - 13).\n |- The departure day of Lyon is Day 5. The arrival day of Budapest is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Warsaw, Munich] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lyon to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 12 - 13).\n   |- The departure day of Munich is Day 9. The arrival day of Budapest is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Lyon, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Milan, Warsaw] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 12 - 13).\n     |- The departure day of Tallinn is Day 11. The arrival day of Budapest is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lyon, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Warsaw] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Tallinn to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Tallinn to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Tallinn to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 12 - 13).\n       |- The departure day of Warsaw is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Munich, Tallinn, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Warsaw to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, Munich, Tallinn, Warsaw, Budapest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Milan] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Budapest to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Budapest to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Munich, Tallinn, Warsaw, Budapest, Milan].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Milan to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Munich, Tallinn, Warsaw, Budapest, Milan, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Warsaw.\n**Day 11-12:** Visit Warsaw for 2 days.\n**Day 12:** Fly from Warsaw to Budapest.\n**Day 12-13:** Visit Budapest for 2 days.\n**Day 13:** Fly from Budapest to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Santorini.\n**Day 14-17:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Vienna**Nice**Edinburgh**Brussels**Lyon**Split",
    "ground_truth_durations": "5**2**3**2**5**5**5",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Nice"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Copenhagen",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 3 days. You plan to visit relatives in Nice between day 6 and day 8. You want to spend 5 days in Split. You want to spend 5 days in Brussels. You plan to stay in Lyon for 5 days. You would like to visit Vienna for 2 days. You would like to meet your friends at Vienna between day 5 and day 6 to tour together. You plan to stay in Edinburgh for 2 days. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 1 and day 5.\n\nHere are the cities that have direct flights:\nVienna and Nice, Copenhagen and Brussels, Brussels and Lyon, Edinburgh and Brussels, Vienna and Brussels, Nice and Brussels, Lyon and Split, Nice and Lyon, Vienna and Lyon, Copenhagen and Vienna, Vienna and Split, Copenhagen and Nice, Copenhagen and Edinburgh, Nice and Edinburgh, Copenhagen and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 3 days. You plan to visit relatives in Nice between day 6 and day 8. You want to spend 5 days in Split. You want to spend 5 days in Brussels. You plan to stay in Lyon for 5 days. You would like to visit Vienna for 2 days. You would like to meet your friends at Vienna between day 5 and day 6 to tour together. You plan to stay in Edinburgh for 2 days. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Vienna to Nice, from Copenhagen to Brussels, from Brussels to Lyon, from Edinburgh to Brussels, from Vienna to Brussels, from Nice to Brussels, from Lyon to Split, from Nice to Lyon, from Vienna to Lyon, from Copenhagen to Vienna, from Vienna to Split, from Copenhagen to Nice, from Copenhagen to Edinburgh, from Nice to Edinburgh, from Copenhagen to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Nice.\n**Day 6-8:** Visit Nice for 3 days.\n**Day 8:** Fly from Nice to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.",
    "id": "trip_planning_example_868",
    "estimated_output_tokens": 2983,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Split, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Edinburgh, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Fixed Schedule: Day 5 - 6.\n* City: Nice, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 6).\n |- The departure day of Copenhagen is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Copenhagen to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 6 - 8).\n   |- The departure day of Vienna is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vienna to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Vienna, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Brussels, Lyon, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Vienna, Nice, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Lyon, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Copenhagen, Vienna, Nice, Brussels, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Split from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Lyon to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Copenhagen, Vienna, Nice, Brussels, Lyon, Split].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Split to Edinburgh.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lyon to Edinburgh.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Brussels to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Vienna, Nice, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Brussels, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Copenhagen, Vienna, Nice, Lyon, Split].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Split to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Split to Edinburgh.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Brussels from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Lyon to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Copenhagen, Vienna, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Brussels, Lyon] and explore these options in order.\n         |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Vienna, Nice, Edinburgh, Brussels].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Brussels to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Brussels to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Vienna, Nice, Edinburgh, Brussels, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Lyon to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Copenhagen, Vienna, Nice, Edinburgh, Brussels, Lyon, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Nice.\n**Day 6-8:** Visit Nice for 3 days.\n**Day 8:** Fly from Nice to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Oslo**Madrid**London**Valencia**Porto**Geneva",
    "ground_truth_durations": "2**2**2**2**5**5**2",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "London"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Oslo",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You plan to stay in Geneva for 2 days. From day 13 to day 14, there is a annual show you want to attend in Geneva. You would like to visit Porto for 5 days. You want to spend 2 days in London. You are going to attend a wedding in London between day 4 and day 5. You would like to visit Madrid for 2 days. You want to spend 2 days in Oslo. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nMadrid and London, Tallinn and Oslo, Porto and Geneva, Valencia and Porto, Madrid and Porto, Oslo and Madrid, London and Valencia, London and Geneva, Valencia and Geneva, Madrid and Valencia, Oslo and London, Oslo and Geneva, Madrid and Geneva, Oslo and Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You plan to stay in Geneva for 2 days. From day 13 to day 14, there is a annual show you want to attend in Geneva. You would like to visit Porto for 5 days. You want to spend 2 days in London. You are going to attend a wedding in London between day 4 and day 5. You would like to visit Madrid for 2 days. You want to spend 2 days in Oslo. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Madrid to London, from Tallinn to Oslo, from Porto to Geneva, from Valencia to Porto, from Madrid to Porto, from Oslo to Madrid, from London to Valencia, from London to Geneva, from Valencia to Geneva, from Madrid to Valencia, from Oslo to London, from Oslo to Geneva, from Madrid to Geneva, from Oslo to Porto.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Oslo.\n**Day 2-3:** Visit Oslo for 2 days.\n**Day 3:** Fly from Oslo to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_869",
    "estimated_output_tokens": 3690,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Porto, Duration: 5 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Madrid, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Porto, Madrid, Oslo, Tallinn] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Valencia is Day 5. The arrival day of London is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Porto is Day 5. The arrival day of London is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Madrid is Day 2. The arrival day of London is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Porto, Oslo, Tallinn] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 5).\n   |- The departure day of Valencia is Day 6. The arrival day of London is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 5).\n   |- The departure day of Porto is Day 6. The arrival day of London is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Oslo is Day 2. The arrival day of London is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Porto, Madrid, Tallinn] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Oslo to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 5).\n   |- The departure day of Porto is Day 6. The arrival day of London is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 5).\n   |- The departure day of Madrid is Day 3. The arrival day of London is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Oslo, Madrid].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Porto, Tallinn] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Madrid to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 4 - 5).\n     |- The departure day of Valencia is Day 7. The arrival day of London is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Madrid to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 4 - 5).\n     |- The departure day of Porto is Day 7. The arrival day of London is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Madrid to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Tallinn is Day 2. The arrival day of London is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Porto, Madrid, Oslo] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 5).\n   |- The departure day of Oslo is Day 3. The arrival day of London is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Tallinn, Oslo].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Oslo to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 4 - 5).\n     |- The departure day of Porto is Day 7. The arrival day of London is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Oslo to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 4 - 5).\n     |- The departure day of Madrid is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Tallinn, Oslo, Madrid].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n       |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Madrid to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 13 - 14).\n       |- The departure day of London is Day 5. The arrival day of Geneva is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Tallinn, Oslo, Madrid, London].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from London to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 13 - 14).\n         |- The departure day of Valencia is Day 9. The arrival day of Geneva is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Tallinn, Oslo, Madrid, London, Valencia].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Valencia to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 13 - 14).\n           |- The departure day of Porto is Day 13. The arrival day of Geneva is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Oslo, Madrid, London, Valencia, Porto].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Porto to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Tallinn, Oslo, Madrid, London, Valencia, Porto, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Oslo.\n**Day 2-3:** Visit Oslo for 2 days.\n**Day 3:** Fly from Oslo to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Geneva.\n**Day 13-14:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Split**Copenhagen**Dubrovnik**Istanbul**Munich**Naples",
    "ground_truth_durations": "4**2**2**3**2**2**4",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Munich"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Istanbul. You plan to stay in Munich for 2 days. During day 9 and day 10, you have to attend a conference in Munich. You plan to stay in London for 4 days. You would like to visit Naples for 4 days. You plan to visit relatives in Naples between day 10 and day 13. You plan to stay in Copenhagen for 2 days. You plan to stay in Split for 2 days. You would like to meet your friends at Split between day 4 and day 5 to tour together. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nLondon and Munich, London and Copenhagen, Split and Munich, Split and Copenhagen, Copenhagen and Munich, Copenhagen and Dubrovnik, Istanbul and Munich, Dubrovnik and Naples, London and Naples, Split and Naples, London and Istanbul, Copenhagen and Naples, from Dubrovnik to Istanbul, Istanbul and Naples, London and Split, Munich and Naples, Dubrovnik and Munich, Copenhagen and Istanbul.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Istanbul. You plan to stay in Munich for 2 days. During day 9 and day 10, you have to attend a conference in Munich. You plan to stay in London for 4 days. You would like to visit Naples for 4 days. You plan to visit relatives in Naples between day 10 and day 13. You plan to stay in Copenhagen for 2 days. You plan to stay in Split for 2 days. You would like to meet your friends at Split between day 4 and day 5 to tour together. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom London to Munich, from London to Copenhagen, from Split to Munich, from Split to Copenhagen, from Copenhagen to Munich, from Copenhagen to Dubrovnik, from Istanbul to Munich, from Dubrovnik to Naples, from London to Naples, from Split to Naples, from London to Istanbul, from Copenhagen to Naples, from Dubrovnik to Istanbul, from Istanbul to Naples, from London to Split, from Munich to Naples, from Dubrovnik to Munich, from Copenhagen to Istanbul.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-9:** Visit Istanbul for 2 days.\n**Day 9:** Fly from Istanbul to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Naples.\n**Day 10-13:** Visit Naples for 4 days.",
    "id": "trip_planning_example_870",
    "estimated_output_tokens": 2416,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: London, Duration: 4 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Copenhagen, Duration: 2 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 4 - 5.\n* City: Munich, Fixed Schedule: Day 9 - 10.\n* City: Naples, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: London, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, London, Copenhagen, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 5).\n |- The departure day of Istanbul is Day 2. The arrival day of Split is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Copenhagen, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 4 - 5).\n |- The departure day of London is Day 4. The arrival day of Split is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Split.\n   |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from London to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 9 - 10).\n   |- The departure day of Split is Day 5. The arrival day of Munich is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Split].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Copenhagen, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Split to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Split to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 9 - 10).\n     |- The departure day of Copenhagen is Day 6. The arrival day of Munich is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [London, Split, Copenhagen].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Copenhagen to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 9 - 10).\n       |- The departure day of Istanbul is Day 7. The arrival day of Munich is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [London, Split, Copenhagen, Istanbul].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Istanbul to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Copenhagen to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 9 - 10).\n       |- The departure day of Dubrovnik is Day 8. The arrival day of Munich is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [London, Split, Copenhagen, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Dubrovnik to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 9 - 10).\n         |- The departure day of Istanbul is Day 9. The arrival day of Munich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [London, Split, Copenhagen, Dubrovnik, Istanbul].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Istanbul to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 10 - 13).\n           |- The departure day of Munich is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [London, Split, Copenhagen, Dubrovnik, Istanbul, Munich].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n             |- Check for direct flight from Munich to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [London, Split, Copenhagen, Dubrovnik, Istanbul, Munich, Naples].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-9:** Visit Istanbul for 2 days.\n**Day 9:** Fly from Istanbul to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Stockholm**Riga**Bucharest**Warsaw**Reykjavik",
    "ground_truth_durations": "3**5**2**3**2**2**3",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Riga",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. During day 12 and day 14, you have to attend a conference in Reykjavik. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 7 and day 8. You want to spend 2 days in Bucharest. You want to spend 3 days in Riga. You would like to visit Warsaw for 2 days. You would like to visit Salzburg for 3 days. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nWarsaw and Reykjavik, Stockholm and Reykjavik, Bucharest and Warsaw, Istanbul and Riga, Salzburg and Istanbul, Stockholm and Riga, Stockholm and Warsaw, Istanbul and Stockholm, Riga and Bucharest, Istanbul and Warsaw, Istanbul and Bucharest, Riga and Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 3 days. During day 12 and day 14, you have to attend a conference in Reykjavik. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 7 and day 8. You want to spend 2 days in Bucharest. You want to spend 3 days in Riga. You would like to visit Warsaw for 2 days. You would like to visit Salzburg for 3 days. You want to spend 5 days in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Reykjavik, from Stockholm to Reykjavik, from Bucharest to Warsaw, from Istanbul to Riga, from Salzburg to Istanbul, from Stockholm to Riga, from Stockholm to Warsaw, from Istanbul to Stockholm, from Riga to Bucharest, from Istanbul to Warsaw, from Istanbul to Bucharest, from Riga to Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Warsaw.\n**Day 11-12:** Visit Warsaw for 2 days.\n**Day 12:** Fly from Warsaw to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_871",
    "estimated_output_tokens": 4408,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Bucharest, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Warsaw, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 7 - 8.\n* City: Reykjavik, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Warsaw, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Riga, Warsaw, Salzburg, Istanbul] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 7 - 8).\n |- The departure day of Bucharest is Day 2. The arrival day of Stockholm is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Warsaw, Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 7 - 8).\n   |- The departure day of Warsaw is Day 3. The arrival day of Stockholm is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Warsaw].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Salzburg, Istanbul] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Warsaw to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Warsaw to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Warsaw to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 7 - 8).\n |- The departure day of Riga is Day 3. The arrival day of Stockholm is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Warsaw, Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 7 - 8).\n   |- The departure day of Bucharest is Day 4. The arrival day of Stockholm is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Salzburg, Istanbul] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 7 - 8).\n     |- The departure day of Warsaw is Day 5. The arrival day of Stockholm is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Bucharest, Warsaw].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Istanbul] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Warsaw to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Warsaw to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Bucharest to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 7 - 8).\n   |- The departure day of Warsaw is Day 4. The arrival day of Stockholm is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Salzburg, Istanbul] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Warsaw to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Warsaw to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 7 - 8).\n |- The departure day of Warsaw is Day 2. The arrival day of Stockholm is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga, Salzburg, Istanbul] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 7 - 8).\n |- The departure day of Salzburg is Day 3. The arrival day of Stockholm is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga, Warsaw, Istanbul] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Salzburg to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 7 - 8).\n   |- The departure day of Istanbul is Day 7. The arrival day of Stockholm is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 12 - 14).\n     |- The departure day of Stockholm is Day 8. The arrival day of Reykjavik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Istanbul, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga, Warsaw] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stockholm to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Stockholm to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 12 - 14).\n       |- The departure day of Riga is Day 10. The arrival day of Reykjavik is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Istanbul, Stockholm, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Warsaw] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 12 - 14).\n         |- The departure day of Bucharest is Day 11. The arrival day of Reykjavik is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Salzburg, Istanbul, Stockholm, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Bucharest to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 12 - 14).\n           |- The departure day of Warsaw is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Salzburg, Istanbul, Stockholm, Riga, Bucharest, Warsaw].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Warsaw to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Salzburg, Istanbul, Stockholm, Riga, Bucharest, Warsaw, Reykjavik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Warsaw.\n**Day 11-12:** Visit Warsaw for 2 days.\n**Day 12:** Fly from Warsaw to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Budapest**Nice**Lyon**Split**Paris**Tallinn",
    "ground_truth_durations": "4**4**5**5**5**5**5",
    "num_cities": 7,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Paris"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Nice",
        "Paris"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Lyon",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You plan to stay in Split for 5 days. You plan to stay in Paris for 5 days. You would like to visit Budapest for 4 days. From day 4 to day 7, there is a annual show you want to attend in Budapest. You plan to stay in Stuttgart for 4 days. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 7 and day 11 to tour together. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nBudapest and Paris, Stuttgart and Split, Nice and Paris, Paris and Tallinn, Lyon and Paris, Budapest and Nice, Nice and Lyon, Split and Paris, Stuttgart and Budapest, Stuttgart and Paris, Lyon and Split.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You plan to stay in Split for 5 days. You plan to stay in Paris for 5 days. You would like to visit Budapest for 4 days. From day 4 to day 7, there is a annual show you want to attend in Budapest. You plan to stay in Stuttgart for 4 days. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 7 and day 11 to tour together. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Paris, from Stuttgart to Split, from Nice to Paris, from Paris to Tallinn, from Lyon to Paris, from Budapest to Nice, from Nice to Lyon, from Split to Paris, from Stuttgart to Budapest, from Stuttgart to Paris, from Lyon to Split.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 27 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Lyon.\n**Day 11-15:** Visit Lyon for 5 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-19:** Visit Split for 5 days.\n**Day 19:** Fly from Split to Paris.\n**Day 19-23:** Visit Paris for 5 days.\n**Day 23:** Fly from Paris to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_872",
    "estimated_output_tokens": 2668,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Stuttgart, Duration: 4 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Lyon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 4 - 7.\n* City: Nice, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Split, Paris, Stuttgart, Lyon] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 7).\n |- The departure day of Tallinn is Day 5. The arrival day of Budapest is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 7).\n |- The departure day of Split is Day 5. The arrival day of Budapest is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 7).\n |- The departure day of Paris is Day 5. The arrival day of Budapest is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 7).\n |- The departure day of Stuttgart is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 11).\n   |- The departure day of Budapest is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Budapest to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Budapest, Nice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Paris, Lyon] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Nice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Nice to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Nice to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Budapest, Nice, Paris].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Lyon] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Paris to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stuttgart, Budapest, Nice, Paris, Tallinn].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n           |- Try arranging to visit Split from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Tallinn to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Tallinn to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Paris to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Paris to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Nice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Budapest, Nice, Lyon].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Paris] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Lyon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Lyon to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Stuttgart, Budapest, Nice, Lyon, Split].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Split to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Split to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Stuttgart, Budapest, Nice, Lyon, Split, Paris].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n             |- Check for direct flight from Paris to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 27. Current plan: [Stuttgart, Budapest, Nice, Lyon, Split, Paris, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Lyon.\n**Day 11-15:** Visit Lyon for 5 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-19:** Visit Split for 5 days.\n**Day 19:** Fly from Split to Paris.\n**Day 19-23:** Visit Paris for 5 days.\n**Day 23:** Fly from Paris to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Porto**Lisbon**Prague**Split**Frankfurt**Dubrovnik",
    "ground_truth_durations": "5**3**2**5**4**2**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Split. You have to attend a workshop in Split between day 12 and day 15. You plan to stay in Dubrovnik for 5 days. You want to spend 5 days in Prague. You plan to stay in Frankfurt for 2 days. You want to spend 2 days in Lisbon. You would like to visit Istanbul for 5 days. During day 1 and day 5, you have to attend a conference in Istanbul. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nIstanbul and Porto, Split and Frankfurt, Prague and Frankfurt, Porto and Lisbon, Istanbul and Lisbon, Frankfurt and Dubrovnik, Porto and Frankfurt, from Dubrovnik to Istanbul, Istanbul and Prague, Lisbon and Frankfurt, Lisbon and Prague, Prague and Split, Istanbul and Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Split. You have to attend a workshop in Split between day 12 and day 15. You plan to stay in Dubrovnik for 5 days. You want to spend 5 days in Prague. You plan to stay in Frankfurt for 2 days. You want to spend 2 days in Lisbon. You would like to visit Istanbul for 5 days. During day 1 and day 5, you have to attend a conference in Istanbul. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Porto, from Split to Frankfurt, from Prague to Frankfurt, from Porto to Lisbon, from Istanbul to Lisbon, from Frankfurt to Dubrovnik, from Porto to Frankfurt, from Dubrovnik to Istanbul, from Istanbul to Prague, from Lisbon to Frankfurt, from Lisbon to Prague, from Prague to Split, from Istanbul to Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Prague.\n**Day 8-12:** Visit Prague for 5 days.\n**Day 12:** Fly from Prague to Split.\n**Day 12-15:** Visit Split for 4 days.\n**Day 15:** Fly from Split to Frankfurt.\n**Day 15-16:** Visit Frankfurt for 2 days.\n**Day 16:** Fly from Frankfurt to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_873",
    "estimated_output_tokens": 5605,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Dubrovnik, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 5.\n* City: Split, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 12 - 15).\n |- The departure day of Istanbul is Day 5. The arrival day of Split is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Frankfurt, Lisbon, Porto] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Istanbul to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 12 - 15).\n   |- The departure day of Prague is Day 9. The arrival day of Split is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Istanbul, Prague].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Lisbon, Porto] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Prague to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 12 - 15).\n     |- The departure day of Frankfurt is Day 10. The arrival day of Split is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Prague, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon, Porto] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 12 - 15).\n       |- The departure day of Dubrovnik is Day 14. The arrival day of Split is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Frankfurt to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Frankfurt to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Prague to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Prague to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Istanbul to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 12 - 15).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Split is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Lisbon, Porto] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 12 - 15).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Split is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Frankfurt, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Lisbon, Porto] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Dubrovnik to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dubrovnik to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Frankfurt to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Istanbul to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 12 - 15).\n   |- The departure day of Lisbon is Day 6. The arrival day of Split is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Frankfurt, Porto] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 12 - 15).\n     |- The departure day of Prague is Day 10. The arrival day of Split is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Lisbon, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Porto] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 12 - 15).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Split is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Lisbon, Prague, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Frankfurt to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 12 - 15).\n         |- The departure day of Dubrovnik is Day 15. The arrival day of Split is Day 12. Day 15 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Frankfurt to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 12 - 15).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Split is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Lisbon, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Porto] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 12 - 15).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Split is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Lisbon, Frankfurt, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Porto] and explore these options in order.\n         |- Try arranging to visit Prague from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Dubrovnik to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Frankfurt to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lisbon to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Istanbul to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 12 - 15).\n   |- The departure day of Porto is Day 7. The arrival day of Split is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Porto].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Frankfurt, Lisbon] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Porto to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 12 - 15).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Split is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Porto, Frankfurt].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Lisbon] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 12 - 15).\n       |- The departure day of Dubrovnik is Day 12. The arrival day of Split is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Porto, Frankfurt, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Split.\n         |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Dubrovnik to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Frankfurt to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Frankfurt to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Porto to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 12 - 15).\n     |- The departure day of Lisbon is Day 8. The arrival day of Split is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Porto, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lisbon to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lisbon to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 12 - 15).\n       |- The departure day of Prague is Day 12. The arrival day of Split is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Porto, Lisbon, Prague].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Split.\n         |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Prague to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Porto, Lisbon, Prague, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Split to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Split to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Porto, Lisbon, Prague, Split, Frankfurt].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Frankfurt to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Istanbul, Porto, Lisbon, Prague, Split, Frankfurt, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Prague.\n**Day 8-12:** Visit Prague for 5 days.\n**Day 12:** Fly from Prague to Split.\n**Day 12-15:** Visit Split for 4 days.\n**Day 15:** Fly from Split to Frankfurt.\n**Day 15-16:** Visit Frankfurt for 2 days.\n**Day 16:** Fly from Frankfurt to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Istanbul**Stockholm**Manchester**Porto**Barcelona**Florence",
    "ground_truth_durations": "4**2**4**2**2**4**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Bucharest",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You want to spend 4 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 4. You plan to stay in Porto for 2 days. You would like to meet your friends at Porto between day 9 and day 10 to tour together. You want to spend 2 days in Manchester. You want to spend 4 days in Florence. You would like to visit Stockholm for 4 days. You plan to stay in Istanbul for 2 days. From day 4 to day 5, there is a annual show you want to attend in Istanbul.\n\nHere are the cities that have direct flights:\nIstanbul and Stockholm, Istanbul and Porto, Stockholm and Barcelona, Porto and Barcelona, Bucharest and Barcelona, Istanbul and Manchester, Manchester and Porto, Barcelona and Florence, Bucharest and Manchester, Istanbul and Barcelona, Manchester and Barcelona, Stockholm and Manchester, Bucharest and Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You want to spend 4 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 4. You plan to stay in Porto for 2 days. You would like to meet your friends at Porto between day 9 and day 10 to tour together. You want to spend 2 days in Manchester. You want to spend 4 days in Florence. You would like to visit Stockholm for 4 days. You plan to stay in Istanbul for 2 days. From day 4 to day 5, there is a annual show you want to attend in Istanbul.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Stockholm, from Istanbul to Porto, from Stockholm to Barcelona, from Porto to Barcelona, from Bucharest to Barcelona, from Istanbul to Manchester, from Manchester to Porto, from Barcelona to Florence, from Bucharest to Manchester, from Istanbul to Barcelona, from Manchester to Barcelona, from Stockholm to Manchester, from Bucharest to Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Stockholm.\n**Day 5-8:** Visit Stockholm for 4 days.\n**Day 8:** Fly from Stockholm to Manchester.\n**Day 8-9:** Visit Manchester for 2 days.\n**Day 9:** Fly from Manchester to Porto.\n**Day 9-10:** Visit Porto for 2 days.\n**Day 10:** Fly from Porto to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Florence.\n**Day 13-16:** Visit Florence for 4 days.",
    "id": "trip_planning_example_874",
    "estimated_output_tokens": 2816,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Manchester, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 4 - 5.\n* City: Porto, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Bucharest is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 9 - 10).\n   |- The departure day of Istanbul is Day 5. The arrival day of Porto is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Florence, Stockholm] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 9 - 10).\n     |- The departure day of Barcelona is Day 8. The arrival day of Porto is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Istanbul, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Florence, Stockholm] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 9 - 10).\n       |- The departure day of Florence is Day 11. The arrival day of Porto is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Istanbul to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 9 - 10).\n     |- The departure day of Manchester is Day 6. The arrival day of Porto is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Istanbul, Manchester].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Florence, Stockholm] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 10).\n       |- The departure day of Barcelona is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Istanbul, Manchester, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Barcelona to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 9 - 10).\n     |- The departure day of Stockholm is Day 8. The arrival day of Porto is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Istanbul, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Florence] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stockholm to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 9 - 10).\n       |- The departure day of Barcelona is Day 11. The arrival day of Porto is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stockholm to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 9 - 10).\n       |- The departure day of Manchester is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Istanbul, Stockholm, Manchester].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Manchester to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Bucharest, Istanbul, Stockholm, Manchester, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona, Florence] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Porto to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Bucharest, Istanbul, Stockholm, Manchester, Porto, Barcelona].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Barcelona to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Bucharest, Istanbul, Stockholm, Manchester, Porto, Barcelona, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Stockholm.\n**Day 5-8:** Visit Stockholm for 4 days.\n**Day 8:** Fly from Stockholm to Manchester.\n**Day 8-9:** Visit Manchester for 2 days.\n**Day 9:** Fly from Manchester to Porto.\n**Day 9-10:** Visit Porto for 2 days.\n**Day 10:** Fly from Porto to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Florence.\n**Day 13-16:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Edinburgh**Krakow**Stuttgart**Split**Athens**Mykonos",
    "ground_truth_durations": "5**4**4**3**2**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Edinburgh",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You have to attend a workshop in Stuttgart between day 11 and day 13. You want to spend 4 days in Edinburgh. You want to spend 4 days in Athens. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 13 and day 14 to tour together. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 8 and day 11. You want to spend 5 days in Venice. You want to spend 4 days in Mykonos.\n\nHere are the cities that have direct flights:\nKrakow and Split, Split and Athens, Edinburgh and Krakow, Venice and Stuttgart, Krakow and Stuttgart, Edinburgh and Stuttgart, Stuttgart and Athens, Venice and Edinburgh, Athens and Mykonos, Venice and Athens, Stuttgart and Split, Edinburgh and Athens.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You have to attend a workshop in Stuttgart between day 11 and day 13. You want to spend 4 days in Edinburgh. You want to spend 4 days in Athens. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 13 and day 14 to tour together. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 8 and day 11. You want to spend 5 days in Venice. You want to spend 4 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Split to Athens, from Edinburgh to Krakow, from Venice to Stuttgart, from Krakow to Stuttgart, from Edinburgh to Stuttgart, from Stuttgart to Athens, from Venice to Edinburgh, from Athens to Mykonos, from Venice to Athens, from Stuttgart to Split, from Edinburgh to Athens.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Stuttgart.\n**Day 11-13:** Visit Stuttgart for 3 days.\n**Day 13:** Fly from Stuttgart to Split.\n**Day 13-14:** Visit Split for 2 days.\n**Day 14:** Fly from Split to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Mykonos.\n**Day 17-20:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_875",
    "estimated_output_tokens": 3002,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Edinburgh, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 11.\n* City: Stuttgart, Fixed Schedule: Day 11 - 13.\n* City: Split, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Athens, Venice, Mykonos] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Edinburgh is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Mykonos] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 11).\n   |- The departure day of Athens is Day 7. The arrival day of Krakow is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Mykonos] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Athens to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 8 - 11).\n     |- The departure day of Mykonos is Day 10. The arrival day of Krakow is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Athens is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Venice, Mykonos] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 11).\n   |- The departure day of Mykonos is Day 7. The arrival day of Krakow is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Athens, Mykonos].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Venice] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Mykonos to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Mykonos to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Venice is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Athens, Mykonos] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 8 - 11).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 11 - 13).\n     |- The departure day of Krakow is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Edinburgh, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 13 - 14).\n       |- The departure day of Stuttgart is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Venice, Edinburgh, Krakow, Stuttgart].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n         |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Edinburgh, Krakow, Stuttgart, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos] and explore these options in order.\n           |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Split to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Edinburgh, Krakow, Stuttgart, Split, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Athens to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Venice, Edinburgh, Krakow, Stuttgart, Split, Athens, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Stuttgart.\n**Day 11-13:** Visit Stuttgart for 3 days.\n**Day 13:** Fly from Stuttgart to Split.\n**Day 13-14:** Visit Split for 2 days.\n**Day 14:** Fly from Split to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Mykonos.\n**Day 17-20:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Naples**Venice**Oslo**Frankfurt**Barcelona**Seville",
    "ground_truth_durations": "5**3**3**5**2**2**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Oslo"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Barcelona"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Naples",
        "Barcelona"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Oslo",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Geneva",
        "Barcelona"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Venice",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. During day 1 and day 5, you have to attend a conference in Geneva. You want to spend 3 days in Venice. You would like to visit Seville for 4 days. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 13 and day 14 to tour together. You want to spend 3 days in Naples. You would like to visit Oslo for 5 days. You are going to attend a wedding in Oslo between day 9 and day 13. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nNaples and Oslo, Geneva and Frankfurt, Frankfurt and Barcelona, Venice and Barcelona, Naples and Barcelona, Oslo and Frankfurt, Naples and Frankfurt, Venice and Oslo, Oslo and Barcelona, Barcelona and Seville, Geneva and Naples, Geneva and Barcelona, Naples and Venice, Geneva and Oslo, Venice and Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. During day 1 and day 5, you have to attend a conference in Geneva. You want to spend 3 days in Venice. You would like to visit Seville for 4 days. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 13 and day 14 to tour together. You want to spend 3 days in Naples. You would like to visit Oslo for 5 days. You are going to attend a wedding in Oslo between day 9 and day 13. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Oslo, from Geneva to Frankfurt, from Frankfurt to Barcelona, from Venice to Barcelona, from Naples to Barcelona, from Oslo to Frankfurt, from Naples to Frankfurt, from Venice to Oslo, from Oslo to Barcelona, from Barcelona to Seville, from Geneva to Naples, from Geneva to Barcelona, from Naples to Venice, from Geneva to Oslo, from Venice to Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Frankfurt.\n**Day 13-14:** Visit Frankfurt for 2 days.\n**Day 14:** Fly from Frankfurt to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Seville.\n**Day 15-18:** Visit Seville for 4 days.",
    "id": "trip_planning_example_876",
    "estimated_output_tokens": 1817,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Venice, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Naples, Duration: 3 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 5.\n* City: Oslo, Fixed Schedule: Day 9 - 13.\n* City: Frankfurt, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 9 - 13).\n |- The departure day of Geneva is Day 5. The arrival day of Oslo is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Naples, Barcelona] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Geneva to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 9 - 13).\n   |- The departure day of Naples is Day 7. The arrival day of Oslo is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Barcelona] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Naples to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 9 - 13).\n     |- The departure day of Venice is Day 9. The arrival day of Oslo is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Naples, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 13 - 14).\n       |- The departure day of Oslo is Day 13. The arrival day of Frankfurt is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Geneva, Naples, Venice, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Oslo to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Geneva, Naples, Venice, Oslo, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona] and explore these options in order.\n           |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Frankfurt to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Frankfurt to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Geneva, Naples, Venice, Oslo, Frankfurt, Barcelona].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Barcelona to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Geneva, Naples, Venice, Oslo, Frankfurt, Barcelona, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Frankfurt.\n**Day 13-14:** Visit Frankfurt for 2 days.\n**Day 14:** Fly from Frankfurt to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Seville.\n**Day 15-18:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Vienna**Lyon**Dublin**Tallinn**Prague**Florence",
    "ground_truth_durations": "2**3**5**5**5**2**5",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Florence"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Hamburg",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Florence. You would like to visit Tallinn for 5 days. You plan to stay in Hamburg for 2 days. You have to attend a workshop in Hamburg between day 1 and day 2. You want to spend 5 days in Lyon. You plan to stay in Dublin for 5 days. You would like to meet your friends at Dublin between day 8 and day 12 to tour together. You want to spend 3 days in Vienna. You plan to stay in Prague for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Florence, Lyon and Dublin, Dublin and Tallinn, Lyon and Prague, Vienna and Lyon, Vienna and Dublin, Dublin and Prague, Prague and Florence, Hamburg and Dublin, Tallinn and Prague, Vienna and Prague, Hamburg and Vienna.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Florence. You would like to visit Tallinn for 5 days. You plan to stay in Hamburg for 2 days. You have to attend a workshop in Hamburg between day 1 and day 2. You want to spend 5 days in Lyon. You plan to stay in Dublin for 5 days. You would like to meet your friends at Dublin between day 8 and day 12 to tour together. You want to spend 3 days in Vienna. You plan to stay in Prague for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Florence, from Lyon to Dublin, from Dublin to Tallinn, from Lyon to Prague, from Vienna to Lyon, from Vienna to Dublin, from Dublin to Prague, from Prague to Florence, from Hamburg to Dublin, from Tallinn to Prague, from Vienna to Prague, from Hamburg to Vienna.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Vienna.\n**Day 2-4:** Visit Vienna for 3 days.\n**Day 4:** Fly from Vienna to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Dublin.\n**Day 8-12:** Visit Dublin for 5 days.\n**Day 12:** Fly from Dublin to Tallinn.\n**Day 12-16:** Visit Tallinn for 5 days.\n**Day 16:** Fly from Tallinn to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Florence.\n**Day 17-21:** Visit Florence for 5 days.",
    "id": "trip_planning_example_877",
    "estimated_output_tokens": 2173,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Lyon, Duration: 5 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Vienna, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Florence, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 8 - 12).\n |- The departure day of Hamburg is Day 2. The arrival day of Dublin is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Lyon, Vienna, Prague] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Dublin (Day 8 - 12).\n   |- The departure day of Vienna is Day 4. The arrival day of Dublin is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Lyon, Prague] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 8 - 12).\n     |- The departure day of Florence is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Vienna, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Dublin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 8 - 12).\n     |- The departure day of Lyon is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Vienna, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lyon to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Vienna, Lyon, Dublin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Prague] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Dublin to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Dublin to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Hamburg, Vienna, Lyon, Dublin, Tallinn].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Prague] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Tallinn to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Tallinn to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Hamburg, Vienna, Lyon, Dublin, Tallinn, Prague].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Prague to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Hamburg, Vienna, Lyon, Dublin, Tallinn, Prague, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Vienna.\n**Day 2-4:** Visit Vienna for 3 days.\n**Day 4:** Fly from Vienna to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Dublin.\n**Day 8-12:** Visit Dublin for 5 days.\n**Day 12:** Fly from Dublin to Tallinn.\n**Day 12-16:** Visit Tallinn for 5 days.\n**Day 16:** Fly from Tallinn to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Florence.\n**Day 17-21:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Zurich**Dubrovnik**Oslo**Manchester**Budapest**Mykonos",
    "ground_truth_durations": "5**4**4**3**4**4**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Zurich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 4 days. You want to meet a friend in Manchester between day 13 and day 16. You would like to visit Budapest for 4 days. You would like to visit Oslo for 3 days. You would like to visit Dubrovnik for 4 days. During day 8 and day 11, you have to attend a conference in Dubrovnik. You would like to visit Mykonos for 4 days. You plan to stay in Zurich for 4 days. From day 5 to day 8, there is a annual show you want to attend in Zurich. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Manchester, Porto and Manchester, Porto and Zurich, Dubrovnik and Manchester, Zurich and Oslo, Budapest and Mykonos, Porto and Oslo, Dubrovnik and Oslo, Manchester and Budapest, Oslo and Budapest, Zurich and Dubrovnik, Zurich and Manchester, Zurich and Budapest, Zurich and Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 4 days. You want to meet a friend in Manchester between day 13 and day 16. You would like to visit Budapest for 4 days. You would like to visit Oslo for 3 days. You would like to visit Dubrovnik for 4 days. During day 8 and day 11, you have to attend a conference in Dubrovnik. You would like to visit Mykonos for 4 days. You plan to stay in Zurich for 4 days. From day 5 to day 8, there is a annual show you want to attend in Zurich. You would like to visit Porto for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Manchester, from Porto to Manchester, from Porto to Zurich, from Dubrovnik to Manchester, from Zurich to Oslo, from Budapest to Mykonos, from Porto to Oslo, from Dubrovnik to Oslo, from Manchester to Budapest, from Oslo to Budapest, from Zurich to Dubrovnik, from Zurich to Manchester, from Zurich to Budapest, from Zurich to Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Manchester.\n**Day 13-16:** Visit Manchester for 4 days.\n**Day 16:** Fly from Manchester to Budapest.\n**Day 16-19:** Visit Budapest for 4 days.\n**Day 19:** Fly from Budapest to Mykonos.\n**Day 19-22:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_878",
    "estimated_output_tokens": 2960,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Budapest, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Mykonos, Duration: 4 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 5 - 8.\n* City: Dubrovnik, Fixed Schedule: Day 8 - 11.\n* City: Manchester, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Budapest, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Oslo, Mykonos, Porto] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 8).\n |- The departure day of Budapest is Day 4. The arrival day of Zurich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Mykonos, Porto] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Budapest to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Budapest to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 5 - 8).\n   |- The departure day of Mykonos is Day 7. The arrival day of Zurich is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Budapest to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 8).\n |- The departure day of Oslo is Day 3. The arrival day of Zurich is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Mykonos, Porto] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 5 - 8).\n   |- The departure day of Budapest is Day 6. The arrival day of Zurich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 8).\n |- The departure day of Mykonos is Day 4. The arrival day of Zurich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Oslo, Porto] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 8).\n |- The departure day of Porto is Day 5. The arrival day of Zurich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 11).\n   |- The departure day of Zurich is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 13 - 16).\n     |- The departure day of Dubrovnik is Day 11. The arrival day of Manchester is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Zurich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Oslo, Mykonos] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Dubrovnik to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Dubrovnik to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 13 - 16).\n       |- The departure day of Oslo is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Zurich, Dubrovnik, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Oslo to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Porto, Zurich, Dubrovnik, Oslo, Manchester].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Mykonos] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Manchester to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Zurich, Dubrovnik, Oslo, Manchester, Budapest].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Budapest to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Porto, Zurich, Dubrovnik, Oslo, Manchester, Budapest, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Manchester.\n**Day 13-16:** Visit Manchester for 4 days.\n**Day 16:** Fly from Manchester to Budapest.\n**Day 16-19:** Visit Budapest for 4 days.\n**Day 19:** Fly from Budapest to Mykonos.\n**Day 19-22:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Rome**Dubrovnik**Stockholm**Nice**Vienna**Seville",
    "ground_truth_durations": "2**3**4**5**4**2**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You would like to visit Dubrovnik for 4 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 15 and day 17. You plan to stay in Rome for 3 days. You are going to attend a wedding in Rome between day 2 and day 4. You want to spend 4 days in Nice. You want to meet a friend in Nice between day 11 and day 14. You plan to stay in Lyon for 2 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Stockholm, Rome and Stockholm, Vienna and Seville, Lyon and Vienna, Nice and Vienna, Lyon and Rome, Dubrovnik and Vienna, Rome and Seville, Stockholm and Nice, Lyon and Nice, Stockholm and Vienna, Rome and Nice, Rome and Dubrovnik, Rome and Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You would like to visit Dubrovnik for 4 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 15 and day 17. You plan to stay in Rome for 3 days. You are going to attend a wedding in Rome between day 2 and day 4. You want to spend 4 days in Nice. You want to meet a friend in Nice between day 11 and day 14. You plan to stay in Lyon for 2 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Stockholm, from Rome to Stockholm, from Vienna to Seville, from Lyon to Vienna, from Nice to Vienna, from Lyon to Rome, from Dubrovnik to Vienna, from Rome to Seville, from Stockholm to Nice, from Lyon to Nice, from Stockholm to Vienna, from Rome to Nice, from Rome to Dubrovnik, from Rome to Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Stockholm.\n**Day 7-11:** Visit Stockholm for 5 days.\n**Day 11:** Fly from Stockholm to Nice.\n**Day 11-14:** Visit Nice for 4 days.\n**Day 14:** Fly from Nice to Vienna.\n**Day 14-15:** Visit Vienna for 2 days.\n**Day 15:** Fly from Vienna to Seville.\n**Day 15-17:** Visit Seville for 3 days.",
    "id": "trip_planning_example_879",
    "estimated_output_tokens": 2528,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Lyon, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 2 - 4.\n* City: Nice, Fixed Schedule: Day 11 - 14.\n* City: Seville, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Lyon, Vienna] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Stockholm is Day 5. The arrival day of Rome is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Rome is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Lyon is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 11 - 14).\n   |- The departure day of Rome is Day 4. The arrival day of Nice is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Vienna] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Rome to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 11 - 14).\n     |- The departure day of Stockholm is Day 8. The arrival day of Nice is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Rome, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stockholm to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stockholm to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 11 - 14).\n       |- The departure day of Vienna is Day 9. The arrival day of Nice is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lyon, Rome, Stockholm, Vienna].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 11 - 14).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Nice is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Rome, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Vienna] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dubrovnik to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 11 - 14).\n       |- The departure day of Stockholm is Day 11. The arrival day of Nice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Rome, Dubrovnik, Stockholm].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stockholm to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 15 - 17).\n         |- The departure day of Nice is Day 14. The arrival day of Seville is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Rome, Dubrovnik, Stockholm, Nice].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Nice to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 15 - 17).\n           |- The departure day of Vienna is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Rome, Dubrovnik, Stockholm, Nice, Vienna].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Vienna to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Rome, Dubrovnik, Stockholm, Nice, Vienna, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Stockholm.\n**Day 7-11:** Visit Stockholm for 5 days.\n**Day 11:** Fly from Stockholm to Nice.\n**Day 11-14:** Visit Nice for 4 days.\n**Day 14:** Fly from Nice to Vienna.\n**Day 14-15:** Visit Vienna for 2 days.\n**Day 15:** Fly from Vienna to Seville.\n**Day 15-17:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Naples**Dublin**Berlin**Riga**Warsaw**Valencia",
    "ground_truth_durations": "4**2**5**4**5**3**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Naples",
        "Dublin"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Nice",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Nice. You have to attend a workshop in Nice between day 1 and day 4. You plan to stay in Riga for 5 days. During day 12 and day 16, you have to attend a conference in Riga. You want to spend 4 days in Berlin. You plan to stay in Naples for 2 days. You would like to visit Dublin for 5 days. You would like to meet your friends at Dublin between day 5 and day 9 to tour together. You would like to visit Warsaw for 3 days. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nBerlin and Warsaw, Dublin and Riga, Nice and Berlin, Riga and Warsaw, Berlin and Riga, Naples and Dublin, Warsaw and Valencia, Nice and Naples, Nice and Dublin, Berlin and Valencia, Nice and Warsaw, Dublin and Berlin, Dublin and Valencia, Naples and Warsaw, Naples and Berlin, Naples and Valencia, Nice and Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Nice. You have to attend a workshop in Nice between day 1 and day 4. You plan to stay in Riga for 5 days. During day 12 and day 16, you have to attend a conference in Riga. You want to spend 4 days in Berlin. You plan to stay in Naples for 2 days. You would like to visit Dublin for 5 days. You would like to meet your friends at Dublin between day 5 and day 9 to tour together. You would like to visit Warsaw for 3 days. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Warsaw, from Dublin to Riga, from Nice to Berlin, from Riga to Warsaw, from Berlin to Riga, from Naples to Dublin, from Warsaw to Valencia, from Nice to Naples, from Nice to Dublin, from Berlin to Valencia, from Nice to Warsaw, from Dublin to Berlin, from Dublin to Valencia, from Naples to Warsaw, from Naples to Berlin, from Naples to Valencia, from Nice to Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Valencia.\n**Day 18-20:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_880",
    "estimated_output_tokens": 1785,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Berlin, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Warsaw, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Fixed Schedule: Day 5 - 9.\n* City: Riga, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 5 - 9).\n |- The departure day of Nice is Day 4. The arrival day of Dublin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Warsaw, Valencia] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Nice to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 5 - 9).\n   |- The departure day of Berlin is Day 7. The arrival day of Dublin is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Nice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 5 - 9).\n   |- The departure day of Naples is Day 5. The arrival day of Dublin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Naples to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 16).\n     |- The departure day of Dublin is Day 9. The arrival day of Riga is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Naples, Dublin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Warsaw, Valencia] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Dublin to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 12 - 16).\n       |- The departure day of Berlin is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Nice, Naples, Dublin, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Nice, Naples, Dublin, Berlin, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Valencia] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Riga to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Nice, Naples, Dublin, Berlin, Riga, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Nice, Naples, Dublin, Berlin, Riga, Warsaw, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Nice and visit Nice for 4 days.\n**Day 4:** Fly from Nice to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Valencia.\n**Day 18-20:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Prague**Frankfurt**Munich**Mykonos**Zurich**Vilnius",
    "ground_truth_durations": "2**4**3**5**2**3**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Munich",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You would like to visit Zurich for 3 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 1 and day 2. You plan to stay in Prague for 4 days. During day 2 and day 5, you have to attend a conference in Prague. You plan to stay in Mykonos for 2 days. From day 11 to day 12, there is a annual show you want to attend in Mykonos. You would like to visit Vilnius for 2 days. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Vilnius, Mykonos and Zurich, Prague and Frankfurt, Valencia and Zurich, Frankfurt and Zurich, Frankfurt and Munich, from Vilnius to Munich, Valencia and Munich, Prague and Munich, Munich and Mykonos, Prague and Zurich, Valencia and Prague, Zurich and Vilnius, Valencia and Frankfurt, Munich and Zurich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You would like to visit Zurich for 3 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 1 and day 2. You plan to stay in Prague for 4 days. During day 2 and day 5, you have to attend a conference in Prague. You plan to stay in Mykonos for 2 days. From day 11 to day 12, there is a annual show you want to attend in Mykonos. You would like to visit Vilnius for 2 days. You plan to stay in Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Vilnius, from Mykonos to Zurich, from Prague to Frankfurt, from Valencia to Zurich, from Frankfurt to Zurich, from Frankfurt to Munich, from Vilnius to Munich, from Valencia to Munich, from Prague to Munich, from Munich to Mykonos, from Prague to Zurich, from Valencia to Prague, from Zurich to Vilnius, from Valencia to Frankfurt, from Munich to Zurich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Frankfurt.\n**Day 5-7:** Visit Frankfurt for 3 days.\n**Day 7:** Fly from Frankfurt to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_881",
    "estimated_output_tokens": 3057,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Vilnius, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 2.\n* City: Prague, Fixed Schedule: Day 2 - 5.\n* City: Mykonos, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 5).\n |- The departure day of Valencia is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 11 - 12).\n   |- The departure day of Prague is Day 5. The arrival day of Mykonos is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Zurich, Vilnius, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 11 - 12).\n     |- The departure day of Munich is Day 9. The arrival day of Mykonos is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Prague, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 11 - 12).\n       |- The departure day of Zurich is Day 11. The arrival day of Mykonos is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Prague, Munich, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Zurich to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 11 - 12).\n     |- The departure day of Zurich is Day 7. The arrival day of Mykonos is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Prague, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Vilnius, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Zurich to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Zurich to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 11 - 12).\n       |- The departure day of Vilnius is Day 8. The arrival day of Mykonos is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Valencia, Prague, Zurich, Vilnius].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Vilnius to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 11 - 12).\n         |- The departure day of Munich is Day 12. The arrival day of Mykonos is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Vilnius to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Zurich to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 11 - 12).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Mykonos is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Prague, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Zurich, Vilnius] and explore these options in order.\n       |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 11 - 12).\n       |- The departure day of Munich is Day 11. The arrival day of Mykonos is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Prague, Frankfurt, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Munich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Valencia, Prague, Frankfurt, Munich, Mykonos].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Mykonos to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Valencia, Prague, Frankfurt, Munich, Mykonos, Zurich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Zurich to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Valencia, Prague, Frankfurt, Munich, Mykonos, Zurich, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Frankfurt.\n**Day 5-7:** Visit Frankfurt for 3 days.\n**Day 7:** Fly from Frankfurt to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Athens**Riga**Copenhagen**Dubrovnik**Munich**Seville",
    "ground_truth_durations": "3**4**4**5**3**4**4",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 1 and day 3. You plan to stay in Munich for 4 days. You want to spend 4 days in Athens. You want to spend 3 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 13 and day 15. You want to spend 5 days in Copenhagen. You plan to stay in Seville for 4 days. You plan to stay in Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, Athens and Munich, Copenhagen and Dubrovnik, Athens and Dubrovnik, Reykjavik and Copenhagen, Munich and Seville, Riga and Copenhagen, from Athens to Riga, Athens and Copenhagen, Reykjavik and Munich, Copenhagen and Munich, Dubrovnik and Munich, from Riga to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 1 and day 3. You plan to stay in Munich for 4 days. You want to spend 4 days in Athens. You want to spend 3 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 13 and day 15. You want to spend 5 days in Copenhagen. You plan to stay in Seville for 4 days. You plan to stay in Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Athens, from Athens to Munich, from Copenhagen to Dubrovnik, from Athens to Dubrovnik, from Reykjavik to Copenhagen, from Munich to Seville, from Riga to Copenhagen, from Athens to Riga, from Athens to Copenhagen, from Reykjavik to Munich, from Copenhagen to Munich, from Dubrovnik to Munich, from Riga to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Munich.\n**Day 15-18:** Visit Munich for 4 days.\n**Day 18:** Fly from Munich to Seville.\n**Day 18-21:** Visit Seville for 4 days.",
    "id": "trip_planning_example_882",
    "estimated_output_tokens": 4156,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Munich, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Copenhagen, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 13 - 15).\n |- The departure day of Reykjavik is Day 3. The arrival day of Dubrovnik is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Athens, Copenhagen, Seville, Riga] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 13 - 15).\n   |- The departure day of Munich is Day 6. The arrival day of Dubrovnik is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Copenhagen, Seville, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 13 - 15).\n     |- The departure day of Seville is Day 9. The arrival day of Dubrovnik is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Munich, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Copenhagen, Riga] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Seville to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 13 - 15).\n   |- The departure day of Athens is Day 6. The arrival day of Dubrovnik is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Copenhagen, Seville, Riga] and explore these options in order.\n     |- Try arranging to visit Munich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 13 - 15).\n     |- The departure day of Munich is Day 9. The arrival day of Dubrovnik is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Athens, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Seville, Riga] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 13 - 15).\n       |- The departure day of Seville is Day 12. The arrival day of Dubrovnik is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Athens, Munich, Seville].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Seville to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Seville to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 13 - 15).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Dubrovnik is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Athens, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Seville, Riga] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 15).\n       |- The departure day of Munich is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Athens, Copenhagen, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Munich to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 13 - 15).\n     |- The departure day of Riga is Day 9. The arrival day of Dubrovnik is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Athens, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Copenhagen, Seville] and explore these options in order.\n       |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Riga to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 13 - 15).\n       |- The departure day of Munich is Day 12. The arrival day of Dubrovnik is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Athens, Riga, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Seville] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Munich to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 13 - 15).\n         |- The departure day of Seville is Day 15. The arrival day of Dubrovnik is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 13 - 15).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Athens, Riga, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Athens, Riga, Copenhagen, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Seville] and explore these options in order.\n           |- Try arranging to visit Munich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Dubrovnik to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Athens, Riga, Copenhagen, Dubrovnik, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Munich to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Reykjavik, Athens, Riga, Copenhagen, Dubrovnik, Munich, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Munich.\n**Day 15-18:** Visit Munich for 4 days.\n**Day 18:** Fly from Munich to Seville.\n**Day 18-21:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Warsaw**Riga**Brussels**Reykjavik**Rome**Dubrovnik",
    "ground_truth_durations": "4**2**4**3**2**3**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Brussels",
        "Rome"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Warsaw",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You plan to stay in Brussels for 3 days. You want to spend 4 days in Stuttgart. From day 1 to day 4, there is a annual show you want to attend in Stuttgart. You want to spend 2 days in Reykjavik. During day 10 and day 11, you have to attend a conference in Reykjavik. You want to spend 2 days in Warsaw. You would like to visit Rome for 3 days. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Rome, Warsaw and Riga, Brussels and Rome, Stuttgart and Warsaw, Riga and Brussels, Warsaw and Reykjavik, Rome and Dubrovnik, Stuttgart and Rome, from Rome to Riga, Brussels and Reykjavik, from Reykjavik to Stuttgart, Reykjavik and Rome, Warsaw and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 4 days. You plan to stay in Brussels for 3 days. You want to spend 4 days in Stuttgart. From day 1 to day 4, there is a annual show you want to attend in Stuttgart. You want to spend 2 days in Reykjavik. During day 10 and day 11, you have to attend a conference in Reykjavik. You want to spend 2 days in Warsaw. You would like to visit Rome for 3 days. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Rome, from Warsaw to Riga, from Brussels to Rome, from Stuttgart to Warsaw, from Riga to Brussels, from Warsaw to Reykjavik, from Rome to Dubrovnik, from Stuttgart to Rome, from Rome to Riga, from Brussels to Reykjavik, from Reykjavik to Stuttgart, from Reykjavik to Rome, from Warsaw to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Brussels.\n**Day 8-10:** Visit Brussels for 3 days.\n**Day 10:** Fly from Brussels to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_883",
    "estimated_output_tokens": 3608,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days.\n* City: Brussels, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Warsaw, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Brussels, Duration: 3 days.\n* City: Warsaw, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 10 - 11).\n |- The departure day of Stuttgart is Day 4. The arrival day of Reykjavik is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels, Warsaw, Rome, Riga] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stuttgart to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 10 - 11).\n   |- The departure day of Warsaw is Day 5. The arrival day of Reykjavik is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels, Rome, Riga] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Warsaw to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 10 - 11).\n     |- The departure day of Brussels is Day 7. The arrival day of Reykjavik is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, Warsaw, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Riga] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 11).\n       |- The departure day of Rome is Day 9. The arrival day of Reykjavik is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Stuttgart, Warsaw, Brussels, Rome].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Riga] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Rome to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 10 - 11).\n         |- The departure day of Dubrovnik is Day 12. The arrival day of Reykjavik is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Rome to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 10 - 11).\n         |- The departure day of Riga is Day 12. The arrival day of Reykjavik is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Brussels to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Warsaw to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 10 - 11).\n     |- The departure day of Rome is Day 7. The arrival day of Reykjavik is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, Warsaw, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels, Riga] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 11).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stuttgart, Warsaw, Rome, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Dubrovnik to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 11).\n       |- The departure day of Riga is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stuttgart, Warsaw, Rome, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Riga to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Warsaw to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 10 - 11).\n     |- The departure day of Riga is Day 8. The arrival day of Reykjavik is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Warsaw, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels, Rome] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Riga to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 10 - 11).\n       |- The departure day of Brussels is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stuttgart, Warsaw, Riga, Brussels].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Brussels to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Stuttgart, Warsaw, Riga, Brussels, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Reykjavik to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Reykjavik to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Stuttgart, Warsaw, Riga, Brussels, Reykjavik, Rome].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Rome to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Stuttgart, Warsaw, Riga, Brussels, Reykjavik, Rome, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Brussels.\n**Day 8-10:** Visit Brussels for 3 days.\n**Day 10:** Fly from Brussels to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Dublin**Edinburgh**Stuttgart**Hamburg**Oslo**Dubrovnik",
    "ground_truth_durations": "2**4**3**2**3**4**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 8 and day 10. You want to spend 4 days in Dubrovnik. You would like to visit Santorini for 2 days. You would like to visit Dublin for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Oslo for 4 days. You are going to attend a wedding in Oslo between day 10 and day 13. You plan to stay in Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nDublin and Oslo, Dublin and Hamburg, Hamburg and Oslo, Dublin and Edinburgh, from Santorini to Oslo, Edinburgh and Oslo, Oslo and Dubrovnik, Dublin and Dubrovnik, Edinburgh and Hamburg, Santorini and Dublin, Edinburgh and Stuttgart, Stuttgart and Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You plan to visit relatives in Hamburg between day 8 and day 10. You want to spend 4 days in Dubrovnik. You would like to visit Santorini for 2 days. You would like to visit Dublin for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Oslo for 4 days. You are going to attend a wedding in Oslo between day 10 and day 13. You plan to stay in Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Oslo, from Dublin to Hamburg, from Hamburg to Oslo, from Dublin to Edinburgh, from Santorini to Oslo, from Edinburgh to Oslo, from Oslo to Dubrovnik, from Dublin to Dubrovnik, from Edinburgh to Hamburg, from Santorini to Dublin, from Edinburgh to Stuttgart, from Stuttgart to Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Dublin.\n**Day 2-5:** Visit Dublin for 4 days.\n**Day 5:** Fly from Dublin to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Oslo.\n**Day 10-13:** Visit Oslo for 4 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_884",
    "estimated_output_tokens": 2519,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Dubrovnik, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Dublin, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 8 - 10.\n* City: Oslo, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Dublin, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Dublin, Edinburgh, Stuttgart] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 10).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Hamburg is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin, Edinburgh, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 8 - 10).\n |- The departure day of Santorini is Day 2. The arrival day of Hamburg is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Dublin, Edinburgh, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 8 - 10).\n   |- The departure day of Dublin is Day 5. The arrival day of Hamburg is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Edinburgh, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dublin to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 8 - 10).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Dublin, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dubrovnik to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 8 - 10).\n     |- The departure day of Edinburgh is Day 7. The arrival day of Hamburg is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Dublin, Edinburgh].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Edinburgh to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Edinburgh to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 8 - 10).\n       |- The departure day of Stuttgart is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Dublin, Edinburgh, Stuttgart].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stuttgart to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 10 - 13).\n         |- The departure day of Hamburg is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Santorini, Dublin, Edinburgh, Stuttgart, Hamburg].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Hamburg to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Dublin, Edinburgh, Stuttgart, Hamburg, Oslo].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Oslo to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Dublin, Edinburgh, Stuttgart, Hamburg, Oslo, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Dublin.\n**Day 2-5:** Visit Dublin for 4 days.\n**Day 5:** Fly from Dublin to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Oslo.\n**Day 10-13:** Visit Oslo for 4 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Krakow**Valencia**Naples**Warsaw**Hamburg**Salzburg",
    "ground_truth_durations": "2**2**2**4**2**4**2",
    "num_cities": 7,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Krakow",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 8 and day 11. You want to spend 2 days in Paris. You want to meet a friend in Paris between day 1 and day 2. You want to spend 2 days in Krakow. You would like to visit Naples for 4 days. You would like to meet your friends at Naples between day 4 and day 7 to tour together. You would like to visit Warsaw for 2 days. You plan to stay in Valencia for 2 days. You want to spend 2 days in Salzburg.\n\nHere are the cities that have direct flights:\nParis and Hamburg, Valencia and Warsaw, Paris and Valencia, Naples and Warsaw, Krakow and Warsaw, Valencia and Naples, Hamburg and Salzburg, Warsaw and Hamburg, Paris and Warsaw, Paris and Krakow, Paris and Naples, Krakow and Valencia.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 8 and day 11. You want to spend 2 days in Paris. You want to meet a friend in Paris between day 1 and day 2. You want to spend 2 days in Krakow. You would like to visit Naples for 4 days. You would like to meet your friends at Naples between day 4 and day 7 to tour together. You would like to visit Warsaw for 2 days. You plan to stay in Valencia for 2 days. You want to spend 2 days in Salzburg.\n\nHere are the cities that have direct flights:\nfrom Paris to Hamburg, from Valencia to Warsaw, from Paris to Valencia, from Naples to Warsaw, from Krakow to Warsaw, from Valencia to Naples, from Hamburg to Salzburg, from Warsaw to Hamburg, from Paris to Warsaw, from Paris to Krakow, from Paris to Naples, from Krakow to Valencia.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 12 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Krakow.\n**Day 2-3:** Visit Krakow for 2 days.\n**Day 3:** Fly from Krakow to Valencia.\n**Day 3-4:** Visit Valencia for 2 days.\n**Day 4:** Fly from Valencia to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Warsaw.\n**Day 7-8:** Visit Warsaw for 2 days.\n**Day 8:** Fly from Warsaw to Hamburg.\n**Day 8-11:** Visit Hamburg for 4 days.\n**Day 11:** Fly from Hamburg to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_885",
    "estimated_output_tokens": 1973,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Duration: 2 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Warsaw, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Naples, Fixed Schedule: Day 4 - 7.\n* City: Hamburg, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 7).\n |- The departure day of Paris is Day 2. The arrival day of Naples is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Warsaw, Valencia, Salzburg] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 4 - 7).\n   |- The departure day of Krakow is Day 3. The arrival day of Naples is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Krakow].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Valencia, Salzburg] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Krakow to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 4 - 7).\n     |- The departure day of Warsaw is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Paris, Krakow, Warsaw].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Warsaw to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Krakow to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 4 - 7).\n     |- The departure day of Valencia is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Paris, Krakow, Valencia].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Valencia to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 8 - 11).\n       |- The departure day of Naples is Day 7. The arrival day of Hamburg is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Paris, Krakow, Valencia, Naples].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Salzburg] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Naples to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 8 - 11).\n         |- The departure day of Warsaw is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Paris, Krakow, Valencia, Naples, Warsaw].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Warsaw to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Paris, Krakow, Valencia, Naples, Warsaw, Hamburg].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Hamburg to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Paris, Krakow, Valencia, Naples, Warsaw, Hamburg, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Krakow.\n**Day 2-3:** Visit Krakow for 2 days.\n**Day 3:** Fly from Krakow to Valencia.\n**Day 3-4:** Visit Valencia for 2 days.\n**Day 4:** Fly from Valencia to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Warsaw.\n**Day 7-8:** Visit Warsaw for 2 days.\n**Day 8:** Fly from Warsaw to Hamburg.\n**Day 8-11:** Visit Hamburg for 4 days.\n**Day 11:** Fly from Hamburg to Salzburg.\n**Day 11-12:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Lisbon**Reykjavik**Stuttgart**Porto**Berlin**Salzburg",
    "ground_truth_durations": "5**5**5**5**4**5**2",
    "num_cities": 7,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Berlin",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. During day 1 and day 5, you have to attend a conference in Riga. You plan to stay in Lisbon for 5 days. From day 5 to day 9, there is a annual show you want to attend in Lisbon. You plan to stay in Salzburg for 2 days. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 9 and day 13 to tour together. You want to spend 4 days in Porto. You would like to visit Stuttgart for 5 days. You want to spend 5 days in Berlin.\n\nHere are the cities that have direct flights:\nLisbon and Reykjavik, Porto and Berlin, Lisbon and Stuttgart, Riga and Lisbon, Reykjavik and Berlin, Lisbon and Berlin, Lisbon and Porto, Stuttgart and Berlin, from Reykjavik to Stuttgart, Riga and Berlin, Stuttgart and Porto, Berlin and Salzburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. During day 1 and day 5, you have to attend a conference in Riga. You plan to stay in Lisbon for 5 days. From day 5 to day 9, there is a annual show you want to attend in Lisbon. You plan to stay in Salzburg for 2 days. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 9 and day 13 to tour together. You want to spend 4 days in Porto. You would like to visit Stuttgart for 5 days. You want to spend 5 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Reykjavik, from Porto to Berlin, from Lisbon to Stuttgart, from Riga to Lisbon, from Reykjavik to Berlin, from Lisbon to Berlin, from Lisbon to Porto, from Stuttgart to Berlin, from Reykjavik to Stuttgart, from Riga to Berlin, from Stuttgart to Porto, from Berlin to Salzburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 25 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Porto.\n**Day 17-20:** Visit Porto for 4 days.\n**Day 20:** Fly from Porto to Berlin.\n**Day 20-24:** Visit Berlin for 5 days.\n**Day 24:** Fly from Berlin to Salzburg.\n**Day 24-25:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_886",
    "estimated_output_tokens": 1855,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Salzburg, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Porto, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Fixed Schedule: Day 5 - 9.\n* City: Reykjavik, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 9).\n |- The departure day of Riga is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Riga to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 9 - 13).\n   |- The departure day of Lisbon is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Riga, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Riga, Lisbon, Reykjavik].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Porto, Stuttgart, Berlin] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Reykjavik to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Reykjavik to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Riga, Lisbon, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Porto, Berlin] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Stuttgart to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Stuttgart to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Riga, Lisbon, Reykjavik, Stuttgart, Porto].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Porto to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n           |- Check for direct flight from Porto to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 24. Current plan: [Riga, Lisbon, Reykjavik, Stuttgart, Porto, Berlin].\n            |- Check whether the city with an arrival day of Day 24 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n             |- Check for direct flight from Berlin to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Riga, Lisbon, Reykjavik, Stuttgart, Porto, Berlin, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Porto.\n**Day 17-20:** Visit Porto for 4 days.\n**Day 20:** Fly from Porto to Berlin.\n**Day 20-24:** Visit Berlin for 5 days.\n**Day 24:** Fly from Berlin to Salzburg.\n**Day 24-25:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Riga**Paris**Seville**Manchester**Santorini**Bucharest",
    "ground_truth_durations": "2**3**5**3**3**2**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Paris"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Manchester for 3 days. You want to spend 2 days in Santorini. You want to spend 2 days in Zurich. You would like to visit Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 13 and day 16. You plan to stay in Paris for 5 days. You plan to stay in Riga for 3 days. You have to attend a workshop in Riga between day 2 and day 4.\n\nHere are the cities that have direct flights:\nRiga and Paris, Seville and Manchester, Riga and Manchester, Manchester and Bucharest, Zurich and Santorini, Manchester and Santorini, Paris and Manchester, Zurich and Manchester, Zurich and Riga, Paris and Bucharest, Zurich and Bucharest, Riga and Bucharest, Zurich and Paris, Santorini and Bucharest, Paris and Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Manchester for 3 days. You want to spend 2 days in Santorini. You want to spend 2 days in Zurich. You would like to visit Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 13 and day 16. You plan to stay in Paris for 5 days. You plan to stay in Riga for 3 days. You have to attend a workshop in Riga between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Riga to Paris, from Seville to Manchester, from Riga to Manchester, from Manchester to Bucharest, from Zurich to Santorini, from Manchester to Santorini, from Paris to Manchester, from Zurich to Manchester, from Zurich to Riga, from Paris to Bucharest, from Zurich to Bucharest, from Riga to Bucharest, from Zurich to Paris, from Santorini to Bucharest, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_887",
    "estimated_output_tokens": 3038,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Paris, Duration: 5 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 4.\n* City: Bucharest, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Manchester, Santorini, Zurich, Paris] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Seville is Day 3. The arrival day of Riga is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Manchester is Day 3. The arrival day of Riga is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Santorini is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Zurich is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Zurich to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 13 - 16).\n   |- The departure day of Riga is Day 4. The arrival day of Bucharest is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Santorini, Paris] and explore these options in order.\n     |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Riga to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Riga to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 13 - 16).\n     |- The departure day of Manchester is Day 6. The arrival day of Bucharest is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Zurich, Riga, Manchester].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Santorini, Paris] and explore these options in order.\n       |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Manchester to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Manchester to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 13 - 16).\n       |- The departure day of Santorini is Day 7. The arrival day of Bucharest is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Zurich, Riga, Manchester, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Paris] and explore these options in order.\n         |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Santorini to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Santorini to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Manchester to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Riga to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 13 - 16).\n     |- The departure day of Paris is Day 8. The arrival day of Bucharest is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Riga, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Santorini] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 13 - 16).\n       |- The departure day of Seville is Day 10. The arrival day of Bucharest is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Zurich, Riga, Paris, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Seville to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 13 - 16).\n         |- The departure day of Manchester is Day 12. The arrival day of Bucharest is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Zurich, Riga, Paris, Seville, Manchester].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Manchester to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 13 - 16).\n           |- The departure day of Santorini is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Zurich, Riga, Paris, Seville, Manchester, Santorini].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Santorini to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Zurich, Riga, Paris, Seville, Manchester, Santorini, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Venice**Santorini**Vienna**Krakow**Helsinki**Reykjavik",
    "ground_truth_durations": "4**2**3**5**4**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You would like to visit Vienna for 5 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Krakow for 4 days. You would like to meet your friends at Krakow between day 11 and day 14 to tour together. You want to spend 4 days in Munich. You plan to visit relatives in Munich between day 1 and day 4. You want to spend 3 days in Santorini. From day 5 to day 7, there is a annual show you want to attend in Santorini. You want to spend 2 days in Venice.\n\nHere are the cities that have direct flights:\nMunich and Helsinki, Vienna and Reykjavik, Helsinki and Reykjavik, Vienna and Krakow, Venice and Santorini, Munich and Venice, Venice and Helsinki, Venice and Vienna, Vienna and Helsinki, Santorini and Vienna, Krakow and Helsinki, Munich and Reykjavik, Munich and Krakow, Munich and Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. You would like to visit Vienna for 5 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Krakow for 4 days. You would like to meet your friends at Krakow between day 11 and day 14 to tour together. You want to spend 4 days in Munich. You plan to visit relatives in Munich between day 1 and day 4. You want to spend 3 days in Santorini. From day 5 to day 7, there is a annual show you want to attend in Santorini. You want to spend 2 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Munich to Helsinki, from Vienna to Reykjavik, from Helsinki to Reykjavik, from Vienna to Krakow, from Venice to Santorini, from Munich to Venice, from Venice to Helsinki, from Venice to Vienna, from Vienna to Helsinki, from Santorini to Vienna, from Krakow to Helsinki, from Munich to Reykjavik, from Munich to Krakow, from Munich to Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_888",
    "estimated_output_tokens": 2164,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Venice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Fixed Schedule: Day 5 - 7.\n* City: Krakow, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 7).\n |- The departure day of Munich is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vienna, Reykjavik, Venice] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 7).\n   |- The departure day of Helsinki is Day 7. The arrival day of Santorini is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 7).\n   |- The departure day of Vienna is Day 8. The arrival day of Santorini is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 7).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Santorini is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Munich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 7).\n   |- The departure day of Venice is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 11 - 14).\n     |- The departure day of Santorini is Day 7. The arrival day of Krakow is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Venice, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Vienna, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Santorini to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Santorini to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 11 - 14).\n       |- The departure day of Vienna is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Venice, Santorini, Vienna].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Vienna to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Munich, Venice, Santorini, Vienna, Krakow].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Krakow to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Munich, Venice, Santorini, Vienna, Krakow, Helsinki].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Helsinki to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Munich, Venice, Santorini, Vienna, Krakow, Helsinki, Reykjavik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Santorini.\n**Day 5-7:** Visit Santorini for 3 days.\n**Day 7:** Fly from Santorini to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Prague**Florence**Munich**Edinburgh**Milan**Naples",
    "ground_truth_durations": "3**2**5**2**2**2**4",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Lyon",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You would like to visit Florence for 5 days. You are going to attend a wedding in Florence between day 4 and day 8. You plan to stay in Edinburgh for 2 days. You want to meet a friend in Edinburgh between day 9 and day 10. You would like to visit Munich for 2 days. You want to spend 4 days in Naples. You want to spend 2 days in Prague. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nEdinburgh and Milan, from Florence to Munich, Munich and Milan, Prague and Munich, Munich and Edinburgh, Munich and Naples, Lyon and Prague, Milan and Naples, Prague and Florence, Prague and Edinburgh, Prague and Milan, Lyon and Munich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You would like to visit Florence for 5 days. You are going to attend a wedding in Florence between day 4 and day 8. You plan to stay in Edinburgh for 2 days. You want to meet a friend in Edinburgh between day 9 and day 10. You would like to visit Munich for 2 days. You want to spend 4 days in Naples. You want to spend 2 days in Prague. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Milan, from Florence to Munich, from Munich to Milan, from Prague to Munich, from Munich to Edinburgh, from Munich to Naples, from Lyon to Prague, from Milan to Naples, from Prague to Florence, from Prague to Edinburgh, from Prague to Milan, from Lyon to Munich.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Prague.\n**Day 3-4:** Visit Prague for 2 days.\n**Day 4:** Fly from Prague to Florence.\n**Day 4-8:** Visit Florence for 5 days.\n**Day 8:** Fly from Florence to Munich.\n**Day 8-9:** Visit Munich for 2 days.\n**Day 9:** Fly from Munich to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Naples.\n**Day 11-14:** Visit Naples for 4 days.",
    "id": "trip_planning_example_889",
    "estimated_output_tokens": 4911,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Munich, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 4 - 8.\n* City: Edinburgh, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Munich, Naples, Prague, Lyon] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Milan is Day 2. The arrival day of Florence is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Naples, Prague, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Milan to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Naples is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Milan to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Munich is Day 2. The arrival day of Florence is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Naples, Prague, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Milan is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Munich, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Prague, Lyon] and explore these options in order.\n     |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Milan to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n     |- The departure day of Naples is Day 6. The arrival day of Florence is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Naples is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Naples is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Naples to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Prague is Day 2. The arrival day of Florence is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Munich, Naples, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Milan is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Naples, Lyon] and explore these options in order.\n     |- Try arranging to visit Munich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Milan to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n     |- The departure day of Naples is Day 6. The arrival day of Florence is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Munich is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Munich].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Naples, Lyon] and explore these options in order.\n     |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Munich to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n     |- The departure day of Milan is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Prague, Munich, Milan].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Munich to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n     |- The departure day of Naples is Day 6. The arrival day of Florence is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Munich to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Lyon is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Munich, Naples, Prague] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n   |- The departure day of Munich is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n   |- The departure day of Prague is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 9 - 10).\n     |- The departure day of Florence is Day 8. The arrival day of Edinburgh is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Munich, Naples] and explore these options in order.\n       |- Try arranging to visit Milan from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Florence to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Edinburgh (Day 9 - 10).\n       |- The departure day of Munich is Day 9. The arrival day of Edinburgh is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lyon, Prague, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Munich to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Lyon, Prague, Florence, Munich, Edinburgh].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Naples] and explore these options in order.\n           |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Edinburgh to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Lyon, Prague, Florence, Munich, Edinburgh, Milan].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Milan to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Lyon, Prague, Florence, Munich, Edinburgh, Milan, Naples].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Prague.\n**Day 3-4:** Visit Prague for 2 days.\n**Day 4:** Fly from Prague to Florence.\n**Day 4-8:** Visit Florence for 5 days.\n**Day 8:** Fly from Florence to Munich.\n**Day 8-9:** Visit Munich for 2 days.\n**Day 9:** Fly from Munich to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Naples.\n**Day 11-14:** Visit Naples for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Berlin**Brussels**Lyon**Bucharest**Santorini",
    "ground_truth_durations": "2**2**4**3**4**5**5",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Brussels"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Munich",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 3 days. You are going to attend a wedding in Brussels between day 6 and day 8. You want to spend 4 days in Lyon. You have to attend a workshop in Lyon between day 8 and day 11. You would like to visit Florence for 2 days. You want to spend 5 days in Santorini. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Berlin. From day 3 to day 6, there is a annual show you want to attend in Berlin. You would like to visit Munich for 2 days.\n\nHere are the cities that have direct flights:\nFlorence and Brussels, Berlin and Brussels, from Florence to Munich, Brussels and Lyon, Munich and Lyon, Munich and Bucharest, Brussels and Bucharest, Bucharest and Santorini, Munich and Brussels, Lyon and Bucharest, Munich and Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 3 days. You are going to attend a wedding in Brussels between day 6 and day 8. You want to spend 4 days in Lyon. You have to attend a workshop in Lyon between day 8 and day 11. You would like to visit Florence for 2 days. You want to spend 5 days in Santorini. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Berlin. From day 3 to day 6, there is a annual show you want to attend in Berlin. You would like to visit Munich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Brussels, from Berlin to Brussels, from Florence to Munich, from Brussels to Lyon, from Munich to Lyon, from Munich to Bucharest, from Brussels to Bucharest, from Bucharest to Santorini, from Munich to Brussels, from Lyon to Bucharest, from Munich to Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-3:** Visit Munich for 2 days.\n**Day 3:** Fly from Munich to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_890",
    "estimated_output_tokens": 1846,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Florence, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Munich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 6.\n* City: Brussels, Fixed Schedule: Day 6 - 8.\n* City: Lyon, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Santorini, Bucharest, Munich] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Florence is Day 2. The arrival day of Berlin is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Bucharest, Munich] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 3 - 6).\n   |- The departure day of Munich is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Munich to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 6 - 8).\n     |- The departure day of Berlin is Day 6. The arrival day of Brussels is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Munich, Berlin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Berlin to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 8 - 11).\n       |- The departure day of Brussels is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Florence, Munich, Berlin, Brussels].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Brussels to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Munich, Berlin, Brussels, Lyon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Bucharest] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Lyon to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Florence, Munich, Berlin, Brussels, Lyon, Bucharest].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Bucharest to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Florence, Munich, Berlin, Brussels, Lyon, Bucharest, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-3:** Visit Munich for 2 days.\n**Day 3:** Fly from Munich to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Brussels.\n**Day 6-8:** Visit Brussels for 3 days.\n**Day 8:** Fly from Brussels to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Seville**Porto**Berlin**Stockholm**Santorini**Bucharest",
    "ground_truth_durations": "5**3**5**5**4**3**5",
    "num_cities": 7,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Seville",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You want to spend 5 days in Porto. You want to spend 3 days in Seville. You want to spend 4 days in Stockholm. You want to meet a friend in Stockholm between day 15 and day 18. You plan to stay in Edinburgh for 5 days. From day 1 to day 5, there is a annual show you want to attend in Edinburgh. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 20 and day 24. You want to spend 5 days in Berlin.\n\nHere are the cities that have direct flights:\nEdinburgh and Porto, Edinburgh and Seville, Berlin and Stockholm, Edinburgh and Stockholm, from Stockholm to Santorini, Edinburgh and Berlin, Porto and Berlin, Santorini and Bucharest, Seville and Porto.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You want to spend 5 days in Porto. You want to spend 3 days in Seville. You want to spend 4 days in Stockholm. You want to meet a friend in Stockholm between day 15 and day 18. You plan to stay in Edinburgh for 5 days. From day 1 to day 5, there is a annual show you want to attend in Edinburgh. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 20 and day 24. You want to spend 5 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Porto, from Edinburgh to Seville, from Berlin to Stockholm, from Edinburgh to Stockholm, from Stockholm to Santorini, from Edinburgh to Berlin, from Porto to Berlin, from Santorini to Bucharest, from Seville to Porto.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 24 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Seville.\n**Day 5-7:** Visit Seville for 3 days.\n**Day 7:** Fly from Seville to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.\n**Day 20:** Fly from Santorini to Bucharest.\n**Day 20-24:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_891",
    "estimated_output_tokens": 2563,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Berlin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 5.\n* City: Stockholm, Fixed Schedule: Day 15 - 18.\n* City: Bucharest, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 15 - 18).\n |- The departure day of Edinburgh is Day 5. The arrival day of Stockholm is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Porto, Seville, Berlin] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 15 - 18).\n   |- The departure day of Porto is Day 9. The arrival day of Stockholm is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Porto].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Berlin] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Porto to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Porto to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Porto to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 15 - 18).\n     |- The departure day of Berlin is Day 13. The arrival day of Stockholm is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Porto, Berlin].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Seville] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Berlin to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Berlin to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 15 - 18).\n   |- The departure day of Seville is Day 7. The arrival day of Stockholm is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Seville].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Porto, Berlin] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Seville to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Seville to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 15 - 18).\n     |- The departure day of Porto is Day 11. The arrival day of Stockholm is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Seville, Porto].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Berlin] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Porto to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Porto to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stockholm (Day 15 - 18).\n       |- The departure day of Berlin is Day 15. The arrival day of Stockholm is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Edinburgh, Seville, Porto, Berlin].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Berlin to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Bucharest (Day 20 - 24).\n         |- The departure day of Stockholm is Day 18. The arrival day of Bucharest is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Edinburgh, Seville, Porto, Berlin, Stockholm].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 20 - 24).\n           |- The departure day of Santorini is Day 20. The arrival day of Bucharest is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Edinburgh, Seville, Porto, Berlin, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Santorini to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Edinburgh, Seville, Porto, Berlin, Stockholm, Santorini, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Seville.\n**Day 5-7:** Visit Seville for 3 days.\n**Day 7:** Fly from Seville to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Santorini.\n**Day 18-20:** Visit Santorini for 3 days.\n**Day 20:** Fly from Santorini to Bucharest.\n**Day 20-24:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Porto**Lyon**Rome**Reykjavik**Stockholm**Krakow",
    "ground_truth_durations": "4**3**2**4**3**2**3",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Rome",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You want to spend 4 days in Hamburg. You plan to visit relatives in Hamburg between day 1 and day 4. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 6 and day 7. You want to spend 4 days in Rome. You plan to stay in Krakow for 3 days. You plan to stay in Stockholm for 2 days. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nHamburg and Porto, Stockholm and Krakow, Reykjavik and Stockholm, Hamburg and Stockholm, Rome and Stockholm, Porto and Lyon, Hamburg and Rome, Lyon and Rome, Rome and Reykjavik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You want to spend 4 days in Hamburg. You plan to visit relatives in Hamburg between day 1 and day 4. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 6 and day 7. You want to spend 4 days in Rome. You plan to stay in Krakow for 3 days. You plan to stay in Stockholm for 2 days. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Porto, from Stockholm to Krakow, from Reykjavik to Stockholm, from Hamburg to Stockholm, from Rome to Stockholm, from Porto to Lyon, from Hamburg to Rome, from Lyon to Rome, from Rome to Reykjavik.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Stockholm.\n**Day 12-13:** Visit Stockholm for 2 days.\n**Day 13:** Fly from Stockholm to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_892",
    "estimated_output_tokens": 2431,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Rome, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 6 - 7.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 6 - 7).\n |- The departure day of Hamburg is Day 4. The arrival day of Lyon is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome, Krakow, Stockholm, Porto] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Hamburg to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n   |- The departure day of Rome is Day 7. The arrival day of Lyon is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n   |- The departure day of Stockholm is Day 5. The arrival day of Lyon is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome, Krakow, Porto] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 6 - 7).\n     |- The departure day of Krakow is Day 7. The arrival day of Lyon is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 6 - 7).\n   |- The departure day of Porto is Day 6. The arrival day of Lyon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Porto to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Porto, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome, Krakow, Stockholm] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Porto, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Krakow, Stockholm] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Rome to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Porto, Lyon, Rome, Reykjavik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Stockholm] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Reykjavik to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Hamburg, Porto, Lyon, Rome, Reykjavik, Stockholm].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Stockholm to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Hamburg, Porto, Lyon, Rome, Reykjavik, Stockholm, Krakow].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Lyon.\n**Day 6-7:** Visit Lyon for 2 days.\n**Day 7:** Fly from Lyon to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Stockholm.\n**Day 12-13:** Visit Stockholm for 2 days.\n**Day 13:** Fly from Stockholm to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Brussels**Venice**Santorini**Naples**Nice**Porto",
    "ground_truth_durations": "2**4**4**2**5**4**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Naples"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Nice",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You want to spend 5 days in Naples. You want to spend 2 days in Santorini. You plan to stay in Brussels for 4 days. You are going to attend a wedding in Brussels between day 2 and day 5. You would like to visit Venice for 4 days. You would like to meet your friends at Venice between day 5 and day 8 to tour together. You would like to visit Krakow for 2 days. You want to spend 4 days in Nice. You plan to visit relatives in Nice between day 13 and day 16.\n\nHere are the cities that have direct flights:\nSantorini and Naples, Krakow and Brussels, Brussels and Venice, Venice and Nice, Brussels and Nice, Venice and Naples, Brussels and Naples, Naples and Nice, Brussels and Porto, Venice and Santorini, Nice and Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You want to spend 5 days in Naples. You want to spend 2 days in Santorini. You plan to stay in Brussels for 4 days. You are going to attend a wedding in Brussels between day 2 and day 5. You would like to visit Venice for 4 days. You would like to meet your friends at Venice between day 5 and day 8 to tour together. You would like to visit Krakow for 2 days. You want to spend 4 days in Nice. You plan to visit relatives in Nice between day 13 and day 16.\n\nHere are the cities that have direct flights:\nfrom Santorini to Naples, from Krakow to Brussels, from Brussels to Venice, from Venice to Nice, from Brussels to Nice, from Venice to Naples, from Brussels to Naples, from Naples to Nice, from Brussels to Porto, from Venice to Santorini, from Nice to Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Brussels.\n**Day 2-5:** Visit Brussels for 4 days.\n**Day 5:** Fly from Brussels to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Porto.\n**Day 16-20:** Visit Porto for 5 days.",
    "id": "trip_planning_example_893",
    "estimated_output_tokens": 2624,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Duration: 2 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 2 - 5.\n* City: Venice, Fixed Schedule: Day 5 - 8.\n* City: Nice, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Naples, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Naples, Santorini, Krakow] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 2 - 5).\n |- The departure day of Porto is Day 5. The arrival day of Brussels is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 2 - 5).\n |- The departure day of Naples is Day 5. The arrival day of Brussels is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 2 - 5).\n |- The departure day of Santorini is Day 2. The arrival day of Brussels is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 2 - 5).\n |- The departure day of Krakow is Day 2. The arrival day of Brussels is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 5 - 8).\n   |- The departure day of Brussels is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Brussels].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Brussels to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 16).\n     |- The departure day of Venice is Day 8. The arrival day of Nice is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Brussels, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Naples, Santorini] and explore these options in order.\n       |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 16).\n       |- The departure day of Naples is Day 12. The arrival day of Nice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Krakow, Brussels, Venice, Naples].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Santorini] and explore these options in order.\n         |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Naples to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Naples to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 16).\n       |- The departure day of Santorini is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Krakow, Brussels, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Naples] and explore these options in order.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Santorini to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Santorini to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 16).\n         |- The departure day of Naples is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Brussels, Venice, Santorini, Naples].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Naples to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Brussels, Venice, Santorini, Naples, Nice].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Nice to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Brussels, Venice, Santorini, Naples, Nice, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Brussels.\n**Day 2-5:** Visit Brussels for 4 days.\n**Day 5:** Fly from Brussels to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Porto.\n**Day 16-20:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Edinburgh**Geneva**Dubrovnik**Manchester**Warsaw**Frankfurt",
    "ground_truth_durations": "2**3**2**2**3**4**4",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Helsinki",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to meet your friends at Helsinki between day 1 and day 2 to tour together. You plan to stay in Warsaw for 4 days. During day 8 and day 11, you have to attend a conference in Warsaw. You want to spend 2 days in Dubrovnik. You would like to visit Frankfurt for 4 days. You are going to attend a wedding in Frankfurt between day 11 and day 14. You would like to visit Edinburgh for 3 days. You want to spend 2 days in Geneva. You would like to visit Manchester for 3 days.\n\nHere are the cities that have direct flights:\nGeneva and Dubrovnik, Geneva and Warsaw, Helsinki and Manchester, Helsinki and Frankfurt, Edinburgh and Frankfurt, Geneva and Manchester, Dubrovnik and Frankfurt, Manchester and Warsaw, Manchester and Frankfurt, Helsinki and Dubrovnik, Dubrovnik and Manchester, Geneva and Frankfurt, Warsaw and Frankfurt, Edinburgh and Geneva, Helsinki and Edinburgh, Helsinki and Geneva, Helsinki and Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 2 days. You would like to meet your friends at Helsinki between day 1 and day 2 to tour together. You plan to stay in Warsaw for 4 days. During day 8 and day 11, you have to attend a conference in Warsaw. You want to spend 2 days in Dubrovnik. You would like to visit Frankfurt for 4 days. You are going to attend a wedding in Frankfurt between day 11 and day 14. You would like to visit Edinburgh for 3 days. You want to spend 2 days in Geneva. You would like to visit Manchester for 3 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Dubrovnik, from Geneva to Warsaw, from Helsinki to Manchester, from Helsinki to Frankfurt, from Edinburgh to Frankfurt, from Geneva to Manchester, from Dubrovnik to Frankfurt, from Manchester to Warsaw, from Manchester to Frankfurt, from Helsinki to Dubrovnik, from Dubrovnik to Manchester, from Geneva to Frankfurt, from Warsaw to Frankfurt, from Edinburgh to Geneva, from Helsinki to Edinburgh, from Helsinki to Geneva, from Helsinki to Warsaw.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Geneva.\n**Day 4-5:** Visit Geneva for 2 days.\n**Day 5:** Fly from Geneva to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Manchester.\n**Day 6-8:** Visit Manchester for 3 days.\n**Day 8:** Fly from Manchester to Warsaw.\n**Day 8-11:** Visit Warsaw for 4 days.\n**Day 11:** Fly from Warsaw to Frankfurt.\n**Day 11-14:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_894",
    "estimated_output_tokens": 2436,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Dubrovnik, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Edinburgh, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Fixed Schedule: Day 8 - 11.\n* City: Frankfurt, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 8 - 11).\n |- The departure day of Helsinki is Day 2. The arrival day of Warsaw is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Edinburgh, Geneva, Manchester] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 8 - 11).\n   |- The departure day of Dubrovnik is Day 3. The arrival day of Warsaw is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Helsinki, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Geneva, Manchester] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Dubrovnik to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Dubrovnik to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Dubrovnik to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 8 - 11).\n     |- The departure day of Manchester is Day 5. The arrival day of Warsaw is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Helsinki, Dubrovnik, Manchester].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Geneva] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Manchester to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Manchester to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Helsinki to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 8 - 11).\n   |- The departure day of Edinburgh is Day 4. The arrival day of Warsaw is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Helsinki, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Manchester] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 8 - 11).\n     |- The departure day of Geneva is Day 5. The arrival day of Warsaw is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Helsinki, Edinburgh, Geneva].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Manchester] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Geneva to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 8 - 11).\n       |- The departure day of Dubrovnik is Day 6. The arrival day of Warsaw is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Helsinki, Edinburgh, Geneva, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Dubrovnik to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Warsaw (Day 8 - 11).\n         |- The departure day of Manchester is Day 8. The arrival day of Warsaw is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Helsinki, Edinburgh, Geneva, Dubrovnik, Manchester].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Manchester to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 11 - 14).\n           |- The departure day of Warsaw is Day 11. The arrival day of Frankfurt is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Helsinki, Edinburgh, Geneva, Dubrovnik, Manchester, Warsaw].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Frankfurt.\n             |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Warsaw to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Helsinki, Edinburgh, Geneva, Dubrovnik, Manchester, Warsaw, Frankfurt].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Geneva.\n**Day 4-5:** Visit Geneva for 2 days.\n**Day 5:** Fly from Geneva to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Manchester.\n**Day 6-8:** Visit Manchester for 3 days.\n**Day 8:** Fly from Manchester to Warsaw.\n**Day 8-11:** Visit Warsaw for 4 days.\n**Day 11:** Fly from Warsaw to Frankfurt.\n**Day 11-14:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Lisbon**Venice**Madrid**Santorini**London**Reykjavik",
    "ground_truth_durations": "2**4**3**5**3**3**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Madrid"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Lisbon"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Lisbon",
        "Madrid"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Venice",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You plan to visit relatives in Venice between day 5 and day 7. You would like to visit London for 3 days. You would like to visit Lisbon for 4 days. You plan to stay in Brussels for 2 days. During day 1 and day 2, you have to attend a conference in Brussels. You want to spend 3 days in Reykjavik. You plan to stay in Santorini for 3 days. You want to spend 5 days in Madrid. You are going to attend a wedding in Madrid between day 7 and day 11.\n\nHere are the cities that have direct flights:\nVenice and Madrid, Lisbon and Reykjavik, Brussels and Venice, Venice and Santorini, Lisbon and Venice, from Reykjavik to Madrid, Brussels and London, Madrid and London, Santorini and London, London and Reykjavik, Brussels and Lisbon, Lisbon and London, Lisbon and Madrid, Madrid and Santorini, Brussels and Reykjavik, Brussels and Madrid, Venice and London.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. You plan to visit relatives in Venice between day 5 and day 7. You would like to visit London for 3 days. You would like to visit Lisbon for 4 days. You plan to stay in Brussels for 2 days. During day 1 and day 2, you have to attend a conference in Brussels. You want to spend 3 days in Reykjavik. You plan to stay in Santorini for 3 days. You want to spend 5 days in Madrid. You are going to attend a wedding in Madrid between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Venice to Madrid, from Lisbon to Reykjavik, from Brussels to Venice, from Venice to Santorini, from Lisbon to Venice, from Reykjavik to Madrid, from Brussels to London, from Madrid to London, from Santorini to London, from London to Reykjavik, from Brussels to Lisbon, from Lisbon to London, from Lisbon to Madrid, from Madrid to Santorini, from Brussels to Reykjavik, from Brussels to Madrid, from Venice to London.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Santorini.\n**Day 11-13:** Visit Santorini for 3 days.\n**Day 13:** Fly from Santorini to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Reykjavik.\n**Day 15-17:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_895",
    "estimated_output_tokens": 2643,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: London, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 5 - 7.\n* City: Madrid, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 7).\n |- The departure day of Brussels is Day 2. The arrival day of Venice is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Lisbon, Reykjavik, Santorini] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 5 - 7).\n   |- The departure day of London is Day 4. The arrival day of Venice is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Reykjavik, Santorini] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from London to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 5 - 7).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Venice is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from London to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 5 - 7).\n   |- The departure day of Lisbon is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lisbon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 7 - 11).\n     |- The departure day of Venice is Day 7. The arrival day of Madrid is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Lisbon, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Venice to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Lisbon, Venice, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Santorini] and explore these options in order.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Lisbon, Venice, Madrid, London].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from London to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Lisbon, Venice, Madrid, London, Reykjavik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Reykjavik to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from London to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Lisbon, Venice, Madrid, Santorini].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Reykjavik] and explore these options in order.\n           |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Santorini to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Lisbon, Venice, Madrid, Santorini, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from London to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Lisbon, Venice, Madrid, Santorini, London, Reykjavik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Santorini.\n**Day 11-13:** Visit Santorini for 3 days.\n**Day 13:** Fly from Santorini to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Reykjavik.\n**Day 15-17:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Athens**Dubrovnik**Istanbul**Zurich**Lisbon**Stuttgart",
    "ground_truth_durations": "3**2**2**2**5**2**2",
    "num_cities": 7,
    "total_days": 12,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Santorini",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You would like to visit Santorini for 3 days. You would like to visit Istanbul for 2 days. You plan to visit relatives in Istanbul between day 5 and day 6. You want to spend 2 days in Athens. You would like to visit Dubrovnik for 2 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 6 and day 10 to tour together. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Lisbon, Santorini and Zurich, Dubrovnik and Zurich, Athens and Stuttgart, Athens and Zurich, Athens and Lisbon, Athens and Dubrovnik, from Dubrovnik to Istanbul, Zurich and Lisbon, Istanbul and Stuttgart, Istanbul and Zurich, Lisbon and Stuttgart, Athens and Istanbul, Santorini and Athens.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 12 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You would like to visit Santorini for 3 days. You would like to visit Istanbul for 2 days. You plan to visit relatives in Istanbul between day 5 and day 6. You want to spend 2 days in Athens. You would like to visit Dubrovnik for 2 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 6 and day 10 to tour together. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Lisbon, from Santorini to Zurich, from Dubrovnik to Zurich, from Athens to Stuttgart, from Athens to Zurich, from Athens to Lisbon, from Athens to Dubrovnik, from Dubrovnik to Istanbul, from Zurich to Lisbon, from Istanbul to Stuttgart, from Istanbul to Zurich, from Lisbon to Stuttgart, from Athens to Istanbul, from Santorini to Athens.\n\nFind a trip plan of visiting the cities for 12 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 12 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-5:** Visit Dubrovnik for 2 days.\n**Day 5:** Fly from Dubrovnik to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Stuttgart.\n**Day 11-12:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_896",
    "estimated_output_tokens": 2744,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Athens, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 6.\n* City: Zurich, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Santorini, Athens, Dubrovnik, Stuttgart] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Lisbon is Day 2. The arrival day of Istanbul is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Athens, Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lisbon to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lisbon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lisbon to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 5 - 6).\n   |- The departure day of Stuttgart is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Lisbon, Stuttgart].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Athens, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stuttgart to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stuttgart to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stuttgart to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Santorini is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Athens, Dubrovnik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 6).\n   |- The departure day of Athens is Day 4. The arrival day of Istanbul is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Dubrovnik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 6).\n     |- The departure day of Lisbon is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Athens, Lisbon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lisbon to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 6).\n     |- The departure day of Dubrovnik is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Athens, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Dubrovnik to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Zurich (Day 6 - 10).\n       |- The departure day of Istanbul is Day 6. The arrival day of Zurich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Santorini, Athens, Dubrovnik, Istanbul].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Istanbul to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Santorini, Athens, Dubrovnik, Istanbul, Zurich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Zurich to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Santorini, Athens, Dubrovnik, Istanbul, Zurich, Lisbon].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Lisbon to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Santorini, Athens, Dubrovnik, Istanbul, Zurich, Lisbon, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Dubrovnik.\n**Day 4-5:** Visit Dubrovnik for 2 days.\n**Day 5:** Fly from Dubrovnik to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Stuttgart.\n**Day 11-12:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Valencia**Seville**Milan**Budapest**Naples**Mykonos",
    "ground_truth_durations": "4**5**3**2**3**5**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Budapest"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Valencia",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You are going to attend a wedding in Mykonos between day 17 and day 19. You plan to stay in Milan for 2 days. From day 10 to day 11, there is a annual show you want to attend in Milan. You would like to visit Valencia for 5 days. You want to spend 3 days in Seville. You want to spend 3 days in Budapest. You plan to stay in Naples for 5 days. You have to attend a workshop in Naples between day 13 and day 17. You would like to visit Geneva for 4 days.\n\nHere are the cities that have direct flights:\nMilan and Budapest, Geneva and Naples, Geneva and Budapest, Budapest and Naples, Valencia and Milan, Seville and Milan, Geneva and Valencia, Milan and Mykonos, Valencia and Naples, Milan and Naples, Naples and Mykonos, Geneva and Mykonos, Budapest and Mykonos, Valencia and Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You are going to attend a wedding in Mykonos between day 17 and day 19. You plan to stay in Milan for 2 days. From day 10 to day 11, there is a annual show you want to attend in Milan. You would like to visit Valencia for 5 days. You want to spend 3 days in Seville. You want to spend 3 days in Budapest. You plan to stay in Naples for 5 days. You have to attend a workshop in Naples between day 13 and day 17. You would like to visit Geneva for 4 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Budapest, from Geneva to Naples, from Geneva to Budapest, from Budapest to Naples, from Valencia to Milan, from Seville to Milan, from Geneva to Valencia, from Milan to Mykonos, from Valencia to Naples, from Milan to Naples, from Naples to Mykonos, from Geneva to Mykonos, from Budapest to Mykonos, from Valencia to Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Budapest.\n**Day 11-13:** Visit Budapest for 3 days.\n**Day 13:** Fly from Budapest to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Mykonos.\n**Day 17-19:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_897",
    "estimated_output_tokens": 3072,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Valencia, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Geneva, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 10 - 11.\n* City: Naples, Fixed Schedule: Day 13 - 17.\n* City: Mykonos, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Seville, Budapest, Geneva] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 10 - 11).\n |- The departure day of Valencia is Day 5. The arrival day of Milan is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Budapest, Geneva] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 10 - 11).\n   |- The departure day of Seville is Day 7. The arrival day of Milan is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Seville].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Geneva] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Seville to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Seville to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 10 - 11).\n |- The departure day of Seville is Day 3. The arrival day of Milan is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Budapest, Geneva] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 10 - 11).\n |- The departure day of Budapest is Day 3. The arrival day of Milan is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Seville, Geneva] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 10 - 11).\n |- The departure day of Geneva is Day 4. The arrival day of Milan is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Seville, Budapest] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 10 - 11).\n   |- The departure day of Valencia is Day 8. The arrival day of Milan is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Geneva, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Budapest] and explore these options in order.\n     |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n     |- The departure day of Seville is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Geneva, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Seville to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 13 - 17).\n       |- The departure day of Milan is Day 11. The arrival day of Naples is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Valencia, Seville, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Milan to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 13 - 17).\n         |- The departure day of Budapest is Day 13. The arrival day of Naples is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Valencia, Seville, Milan, Budapest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Budapest to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 17 - 19).\n           |- The departure day of Naples is Day 17. The arrival day of Mykonos is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Geneva, Valencia, Seville, Milan, Budapest, Naples].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Mykonos.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Naples to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Geneva, Valencia, Seville, Milan, Budapest, Naples, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Budapest.\n**Day 11-13:** Visit Budapest for 3 days.\n**Day 13:** Fly from Budapest to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Mykonos.\n**Day 17-19:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**London**Copenhagen**Tallinn**Vilnius**Zurich**Mykonos",
    "ground_truth_durations": "5**2**3**3**5**5**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Hamburg",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You would like to visit London for 2 days. You would like to meet your friends at London between day 5 and day 6 to tour together. You plan to stay in Zurich for 5 days. You would like to visit Tallinn for 3 days. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Copenhagen. During day 6 and day 8, you have to attend a conference in Copenhagen. You would like to visit Hamburg for 5 days. You want to meet a friend in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, Copenhagen and Vilnius, Hamburg and Copenhagen, Hamburg and Zurich, London and Copenhagen, Zurich and Mykonos, London and Mykonos, London and Zurich, Vilnius and Zurich, Tallinn and Zurich, Copenhagen and Tallinn, Copenhagen and Zurich, Hamburg and London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You would like to visit London for 2 days. You would like to meet your friends at London between day 5 and day 6 to tour together. You plan to stay in Zurich for 5 days. You would like to visit Tallinn for 3 days. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Copenhagen. During day 6 and day 8, you have to attend a conference in Copenhagen. You would like to visit Hamburg for 5 days. You want to meet a friend in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, from Copenhagen to Vilnius, from Hamburg to Copenhagen, from Hamburg to Zurich, from London to Copenhagen, from Zurich to Mykonos, from London to Mykonos, from London to Zurich, from Vilnius to Zurich, from Tallinn to Zurich, from Copenhagen to Tallinn, from Copenhagen to Zurich, from Hamburg to London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Copenhagen.\n**Day 6-8:** Visit Copenhagen for 3 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.\n**Day 14:** Fly from Vilnius to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_898",
    "estimated_output_tokens": 2845,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Zurich, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 5 - 6.\n* City: Copenhagen, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 6).\n |- The departure day of Hamburg is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 6 - 8).\n   |- The departure day of London is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from London to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, London, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Tallinn, Vilnius] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Copenhagen to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, London, Copenhagen, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Vilnius] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Hamburg, London, Copenhagen, Zurich, Mykonos].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Mykonos to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Mykonos to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, London, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Vilnius] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Tallinn to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, London, Copenhagen, Tallinn, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Zurich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, London, Copenhagen, Tallinn, Zurich, Mykonos].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Mykonos to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Zurich to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, London, Copenhagen, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Vilnius to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vilnius to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Hamburg, London, Copenhagen, Tallinn, Vilnius, Zurich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Zurich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Hamburg, London, Copenhagen, Tallinn, Vilnius, Zurich, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Copenhagen.\n**Day 6-8:** Visit Copenhagen for 3 days.\n**Day 8:** Fly from Copenhagen to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-14:** Visit Vilnius for 5 days.\n**Day 14:** Fly from Vilnius to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**London**Split**Lyon**Nice**Edinburgh**Seville",
    "ground_truth_durations": "4**4**3**3**3**3**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lyon. During day 9 and day 11, you have to attend a conference in Lyon. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 15 and day 17. You plan to stay in London for 4 days. You want to spend 4 days in Istanbul. From day 1 to day 4, there is a annual show you want to attend in Istanbul. You plan to stay in Nice for 3 days. You would like to visit Edinburgh for 3 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nNice and Edinburgh, London and Lyon, Istanbul and Lyon, London and Split, Istanbul and Nice, London and Edinburgh, Istanbul and London, Istanbul and Edinburgh, Lyon and Nice, London and Nice, Split and Lyon, Edinburgh and Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lyon. During day 9 and day 11, you have to attend a conference in Lyon. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 15 and day 17. You plan to stay in London for 4 days. You want to spend 4 days in Istanbul. From day 1 to day 4, there is a annual show you want to attend in Istanbul. You plan to stay in Nice for 3 days. You would like to visit Edinburgh for 3 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nfrom Nice to Edinburgh, from London to Lyon, from Istanbul to Lyon, from London to Split, from Istanbul to Nice, from London to Edinburgh, from Istanbul to London, from Istanbul to Edinburgh, from Lyon to Nice, from London to Nice, from Split to Lyon, from Edinburgh to Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Split.\n**Day 7-9:** Visit Split for 3 days.\n**Day 9:** Fly from Split to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Nice.\n**Day 11-13:** Visit Nice for 3 days.\n**Day 13:** Fly from Nice to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Seville.\n**Day 15-17:** Visit Seville for 3 days.",
    "id": "trip_planning_example_899",
    "estimated_output_tokens": 2251,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: London, Duration: 4 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Nice, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 9 - 11.\n* City: Seville, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: London, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 9 - 11).\n |- The departure day of Istanbul is Day 4. The arrival day of Lyon is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Nice, Edinburgh, Split] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Istanbul to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 9 - 11).\n   |- The departure day of London is Day 7. The arrival day of Lyon is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh, Split] and explore these options in order.\n     |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 9 - 11).\n     |- The departure day of Nice is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, London, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Nice to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 9 - 11).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, London, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 9 - 11).\n     |- The departure day of Split is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, London, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 15 - 17).\n       |- The departure day of Lyon is Day 11. The arrival day of Seville is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, London, Split, Lyon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Nice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lyon to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 15 - 17).\n         |- The departure day of Nice is Day 13. The arrival day of Seville is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Istanbul, London, Split, Lyon, Nice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Nice to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 15 - 17).\n           |- The departure day of Edinburgh is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Istanbul, London, Split, Lyon, Nice, Edinburgh].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Edinburgh to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Istanbul, London, Split, Lyon, Nice, Edinburgh, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Split.\n**Day 7-9:** Visit Split for 3 days.\n**Day 9:** Fly from Split to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Nice.\n**Day 11-13:** Visit Nice for 3 days.\n**Day 13:** Fly from Nice to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Seville.\n**Day 15-17:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Oslo**Rome**Hamburg**Vienna**Porto**Valencia",
    "ground_truth_durations": "2**3**4**2**3**5**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Rome"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Oslo",
        "Rome"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Vienna",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You have to attend a workshop in Oslo between day 2 and day 4. You would like to visit Porto for 5 days. You plan to visit relatives in Porto between day 10 and day 14. You would like to visit Hamburg for 2 days. During day 7 and day 8, you have to attend a conference in Hamburg. You would like to visit Valencia for 2 days. You want to spend 3 days in Vienna. You want to spend 4 days in Rome. You would like to visit Berlin for 2 days.\n\nHere are the cities that have direct flights:\nBerlin and Rome, Berlin and Valencia, Hamburg and Vienna, Berlin and Porto, Oslo and Porto, Rome and Vienna, Berlin and Oslo, Rome and Hamburg, Porto and Valencia, Oslo and Vienna, Oslo and Hamburg, Rome and Valencia, Vienna and Valencia, Oslo and Rome, Hamburg and Porto, Berlin and Vienna, Vienna and Porto.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You have to attend a workshop in Oslo between day 2 and day 4. You would like to visit Porto for 5 days. You plan to visit relatives in Porto between day 10 and day 14. You would like to visit Hamburg for 2 days. During day 7 and day 8, you have to attend a conference in Hamburg. You would like to visit Valencia for 2 days. You want to spend 3 days in Vienna. You want to spend 4 days in Rome. You would like to visit Berlin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Rome, from Berlin to Valencia, from Hamburg to Vienna, from Berlin to Porto, from Oslo to Porto, from Rome to Vienna, from Berlin to Oslo, from Rome to Hamburg, from Porto to Valencia, from Oslo to Vienna, from Oslo to Hamburg, from Rome to Valencia, from Vienna to Valencia, from Oslo to Rome, from Hamburg to Porto, from Berlin to Vienna, from Vienna to Porto.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Vienna.\n**Day 8-10:** Visit Vienna for 3 days.\n**Day 10:** Fly from Vienna to Porto.\n**Day 10-14:** Visit Porto for 5 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.",
    "id": "trip_planning_example_900",
    "estimated_output_tokens": 2755,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Valencia, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 2 - 4.\n* City: Hamburg, Fixed Schedule: Day 7 - 8.\n* City: Porto, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Vienna, Rome, Berlin] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Valencia is Day 2. The arrival day of Oslo is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Oslo.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Vienna is Day 3. The arrival day of Oslo is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Rome is Day 4. The arrival day of Oslo is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 2 - 4).\n |- The departure day of Berlin is Day 2. The arrival day of Oslo is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 7 - 8).\n   |- The departure day of Oslo is Day 4. The arrival day of Hamburg is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna, Rome] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 7 - 8).\n     |- The departure day of Vienna is Day 6. The arrival day of Hamburg is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Oslo, Vienna].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Rome] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Vienna to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 7 - 8).\n       |- The departure day of Valencia is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Berlin, Oslo, Vienna, Valencia].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Valencia to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Rome from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Vienna to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Oslo to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 7 - 8).\n     |- The departure day of Rome is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Oslo, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 10 - 14).\n       |- The departure day of Hamburg is Day 8. The arrival day of Porto is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Berlin, Oslo, Rome, Hamburg].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Hamburg to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Hamburg to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 10 - 14).\n         |- The departure day of Vienna is Day 10. The arrival day of Porto is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Berlin, Oslo, Rome, Hamburg, Vienna].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Vienna to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Berlin, Oslo, Rome, Hamburg, Vienna, Porto].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Porto to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Berlin, Oslo, Rome, Hamburg, Vienna, Porto, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Oslo.\n**Day 2-4:** Visit Oslo for 3 days.\n**Day 4:** Fly from Oslo to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Vienna.\n**Day 8-10:** Visit Vienna for 3 days.\n**Day 10:** Fly from Vienna to Porto.\n**Day 10-14:** Visit Porto for 5 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Stuttgart**Paris**Prague**Lyon**Munich**Berlin",
    "ground_truth_durations": "5**2**5**2**3**2**4",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Munich"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Porto",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Prague. You would like to visit Lyon for 3 days. You are going to attend a wedding in Lyon between day 11 and day 13. You want to spend 5 days in Porto. You want to spend 4 days in Berlin. You want to meet a friend in Berlin between day 14 and day 17. You would like to visit Stuttgart for 2 days. During day 5 and day 6, you have to attend a conference in Stuttgart. You want to spend 2 days in Munich. You plan to stay in Paris for 5 days.\n\nHere are the cities that have direct flights:\nParis and Munich, Stuttgart and Berlin, Porto and Berlin, Stuttgart and Paris, Munich and Berlin, Prague and Munich, Prague and Lyon, Porto and Lyon, Paris and Lyon, Paris and Prague, Paris and Berlin, Porto and Munich, Lyon and Munich, Porto and Stuttgart, Porto and Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Prague. You would like to visit Lyon for 3 days. You are going to attend a wedding in Lyon between day 11 and day 13. You want to spend 5 days in Porto. You want to spend 4 days in Berlin. You want to meet a friend in Berlin between day 14 and day 17. You would like to visit Stuttgart for 2 days. During day 5 and day 6, you have to attend a conference in Stuttgart. You want to spend 2 days in Munich. You plan to stay in Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Munich, from Stuttgart to Berlin, from Porto to Berlin, from Stuttgart to Paris, from Munich to Berlin, from Prague to Munich, from Prague to Lyon, from Porto to Lyon, from Paris to Lyon, from Paris to Prague, from Paris to Berlin, from Porto to Munich, from Lyon to Munich, from Porto to Stuttgart, from Porto to Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Stuttgart.\n**Day 5-6:** Visit Stuttgart for 2 days.\n**Day 6:** Fly from Stuttgart to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Prague.\n**Day 10-11:** Visit Prague for 2 days.\n**Day 11:** Fly from Prague to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.\n**Day 13:** Fly from Lyon to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.",
    "id": "trip_planning_example_901",
    "estimated_output_tokens": 2427,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 2 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Porto, Duration: 5 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Munich, Duration: 2 days.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 6.\n* City: Lyon, Fixed Schedule: Day 11 - 13.\n* City: Berlin, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Porto, Munich, Paris] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 6).\n |- The departure day of Prague is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Munich, Paris] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 5 - 6).\n   |- The departure day of Munich is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Munich].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Paris] and explore these options in order.\n     |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Munich to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Munich to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 6).\n |- The departure day of Porto is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Porto to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 11 - 13).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Lyon is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Munich, Paris] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stuttgart to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 11 - 13).\n     |- The departure day of Paris is Day 10. The arrival day of Lyon is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Stuttgart, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Munich] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Paris to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 11 - 13).\n       |- The departure day of Prague is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Stuttgart, Paris, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Prague to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 14 - 17).\n         |- The departure day of Lyon is Day 13. The arrival day of Berlin is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Stuttgart, Paris, Prague, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n           |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lyon to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Berlin (Day 14 - 17).\n           |- The departure day of Munich is Day 14. The arrival day of Berlin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Porto, Stuttgart, Paris, Prague, Lyon, Munich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Berlin.\n             |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Munich to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Porto, Stuttgart, Paris, Prague, Lyon, Munich, Berlin].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Stuttgart.\n**Day 5-6:** Visit Stuttgart for 2 days.\n**Day 6:** Fly from Stuttgart to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Prague.\n**Day 10-11:** Visit Prague for 2 days.\n**Day 11:** Fly from Prague to Lyon.\n**Day 11-13:** Visit Lyon for 3 days.\n**Day 13:** Fly from Lyon to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Valencia**Milan**Santorini**Oslo**Reykjavik**Vienna",
    "ground_truth_durations": "2**2**4**5**5**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 17,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Milan",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 2 and day 3 to tour together. You plan to stay in Milan for 4 days. You want to spend 5 days in Oslo. You plan to stay in Santorini for 5 days. You would like to visit Berlin for 2 days. You would like to visit Reykjavik for 4 days. You would like to visit Vienna for 4 days. You have to attend a workshop in Vienna between day 17 and day 20.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, Valencia and Milan, Milan and Vienna, Berlin and Valencia, Berlin and Vienna, Berlin and Reykjavik, Oslo and Vienna, Santorini and Vienna, Milan and Santorini, Reykjavik and Vienna, Valencia and Vienna, Milan and Reykjavik, Oslo and Reykjavik, Berlin and Oslo, Berlin and Milan, Milan and Oslo.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 2 and day 3 to tour together. You plan to stay in Milan for 4 days. You want to spend 5 days in Oslo. You plan to stay in Santorini for 5 days. You would like to visit Berlin for 2 days. You would like to visit Reykjavik for 4 days. You would like to visit Vienna for 4 days. You have to attend a workshop in Vienna between day 17 and day 20.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, from Valencia to Milan, from Milan to Vienna, from Berlin to Valencia, from Berlin to Vienna, from Berlin to Reykjavik, from Oslo to Vienna, from Santorini to Vienna, from Milan to Santorini, from Reykjavik to Vienna, from Valencia to Vienna, from Milan to Reykjavik, from Oslo to Reykjavik, from Berlin to Oslo, from Berlin to Milan, from Milan to Oslo.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Milan.\n**Day 3-6:** Visit Milan for 4 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Reykjavik.\n**Day 14-17:** Visit Reykjavik for 4 days.\n**Day 17:** Fly from Reykjavik to Vienna.\n**Day 17-20:** Visit Vienna for 4 days.",
    "id": "trip_planning_example_902",
    "estimated_output_tokens": 2682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Milan, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 2 - 3.\n* City: Vienna, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Oslo, Santorini, Berlin, Reykjavik] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 2 - 3).\n |- The departure day of Milan is Day 4. The arrival day of Valencia is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 2 - 3).\n |- The departure day of Oslo is Day 5. The arrival day of Valencia is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 2 - 3).\n |- The departure day of Santorini is Day 5. The arrival day of Valencia is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 2 - 3).\n |- The departure day of Berlin is Day 2. The arrival day of Valencia is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Berlin to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vienna (Day 17 - 20).\n   |- The departure day of Valencia is Day 3. The arrival day of Vienna is Day 17. Day 3 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Berlin, Valencia].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Oslo, Santorini, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Valencia to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 17 - 20).\n     |- The departure day of Milan is Day 6. The arrival day of Vienna is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Valencia, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Santorini, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 17 - 20).\n       |- The departure day of Oslo is Day 10. The arrival day of Vienna is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Valencia, Milan, Oslo].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vienna (Day 17 - 20).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Vienna is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Valencia, Milan, Oslo, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 17 - 20).\n       |- The departure day of Santorini is Day 10. The arrival day of Vienna is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Valencia, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vienna (Day 17 - 20).\n         |- The departure day of Oslo is Day 14. The arrival day of Vienna is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, Valencia, Milan, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Oslo to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vienna (Day 17 - 20).\n           |- The departure day of Reykjavik is Day 17. The arrival day of Vienna is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Valencia, Milan, Santorini, Oslo, Reykjavik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Reykjavik to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, Valencia, Milan, Santorini, Oslo, Reykjavik, Vienna].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Milan.\n**Day 3-6:** Visit Milan for 4 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Reykjavik.\n**Day 14-17:** Visit Reykjavik for 4 days.\n**Day 17:** Fly from Reykjavik to Vienna.\n**Day 17-20:** Visit Vienna for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Vienna**Athens**Venice**Helsinki**Edinburgh**Porto",
    "ground_truth_durations": "5**4**4**3**5**2**3",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Venice",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to meet your friends at Dubrovnik between day 1 and day 5 to tour together. You would like to visit Helsinki for 5 days. You want to spend 4 days in Vienna. You would like to visit Venice for 3 days. You want to spend 2 days in Edinburgh. You want to spend 4 days in Athens. You are going to attend a wedding in Athens between day 8 and day 11. You would like to visit Porto for 3 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Vienna, Vienna and Venice, Edinburgh and Porto, Dubrovnik and Athens, Athens and Venice, Helsinki and Edinburgh, Venice and Edinburgh, Dubrovnik and Helsinki, Vienna and Porto, Vienna and Athens, Athens and Edinburgh, Vienna and Helsinki, Venice and Helsinki.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You would like to meet your friends at Dubrovnik between day 1 and day 5 to tour together. You would like to visit Helsinki for 5 days. You want to spend 4 days in Vienna. You would like to visit Venice for 3 days. You want to spend 2 days in Edinburgh. You want to spend 4 days in Athens. You are going to attend a wedding in Athens between day 8 and day 11. You would like to visit Porto for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Vienna, from Vienna to Venice, from Edinburgh to Porto, from Dubrovnik to Athens, from Athens to Venice, from Helsinki to Edinburgh, from Venice to Edinburgh, from Dubrovnik to Helsinki, from Vienna to Porto, from Vienna to Athens, from Athens to Edinburgh, from Vienna to Helsinki, from Venice to Helsinki.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Venice.\n**Day 11-13:** Visit Venice for 3 days.\n**Day 13:** Fly from Venice to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Edinburgh.\n**Day 17-18:** Visit Edinburgh for 2 days.\n**Day 18:** Fly from Edinburgh to Porto.\n**Day 18-20:** Visit Porto for 3 days.",
    "id": "trip_planning_example_903",
    "estimated_output_tokens": 1778,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Helsinki, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 8 - 11).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Athens is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vienna, Venice, Edinburgh, Porto] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 11).\n   |- The departure day of Helsinki is Day 9. The arrival day of Athens is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 11).\n   |- The departure day of Vienna is Day 8. The arrival day of Athens is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dubrovnik, Vienna, Athens].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Venice, Edinburgh, Porto] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Athens to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Athens to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Dubrovnik, Vienna, Athens, Venice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Edinburgh, Porto] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Venice to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Dubrovnik, Vienna, Athens, Venice, Helsinki].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Helsinki to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dubrovnik, Vienna, Athens, Venice, Helsinki, Edinburgh].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Edinburgh to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Dubrovnik, Vienna, Athens, Venice, Helsinki, Edinburgh, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Venice.\n**Day 11-13:** Visit Venice for 3 days.\n**Day 13:** Fly from Venice to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Edinburgh.\n**Day 17-18:** Visit Edinburgh for 2 days.\n**Day 18:** Fly from Edinburgh to Porto.\n**Day 18-20:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Geneva**Budapest**Istanbul**Bucharest**Brussels**Seville",
    "ground_truth_durations": "3**4**5**2**5**3**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Budapest",
        "Istanbul"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Geneva",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You plan to stay in Istanbul for 2 days. You plan to visit relatives in Istanbul between day 10 and day 11. You plan to stay in Seville for 4 days. You want to spend 3 days in Brussels. From day 15 to day 17, there is a annual show you want to attend in Brussels. You would like to visit Split for 3 days. You want to spend 4 days in Geneva. You want to spend 5 days in Budapest.\n\nHere are the cities that have direct flights:\nBudapest and Brussels, Geneva and Brussels, Istanbul and Brussels, Split and Geneva, Geneva and Budapest, Budapest and Bucharest, Budapest and Istanbul, Bucharest and Brussels, Brussels and Seville, Istanbul and Bucharest, Geneva and Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You plan to stay in Istanbul for 2 days. You plan to visit relatives in Istanbul between day 10 and day 11. You plan to stay in Seville for 4 days. You want to spend 3 days in Brussels. From day 15 to day 17, there is a annual show you want to attend in Brussels. You would like to visit Split for 3 days. You want to spend 4 days in Geneva. You want to spend 5 days in Budapest.\n\nHere are the cities that have direct flights:\nfrom Budapest to Brussels, from Geneva to Brussels, from Istanbul to Brussels, from Split to Geneva, from Geneva to Budapest, from Budapest to Bucharest, from Budapest to Istanbul, from Bucharest to Brussels, from Brussels to Seville, from Istanbul to Bucharest, from Geneva to Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Brussels.\n**Day 15-17:** Visit Brussels for 3 days.\n**Day 17:** Fly from Brussels to Seville.\n**Day 17-20:** Visit Seville for 4 days.",
    "id": "trip_planning_example_904",
    "estimated_output_tokens": 2711,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Seville, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Split, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 10 - 11.\n* City: Brussels, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Split, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Seville, Split, Geneva, Budapest] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 10 - 11).\n |- The departure day of Bucharest is Day 5. The arrival day of Istanbul is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Split, Geneva, Budapest] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 10 - 11).\n |- The departure day of Seville is Day 4. The arrival day of Istanbul is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Split, Geneva, Budapest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Seville to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 10 - 11).\n |- The departure day of Split is Day 3. The arrival day of Istanbul is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville, Geneva, Budapest] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 10 - 11).\n   |- The departure day of Geneva is Day 6. The arrival day of Istanbul is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville, Budapest] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 10 - 11).\n     |- The departure day of Budapest is Day 10. The arrival day of Istanbul is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Geneva, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Budapest to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 15 - 17).\n       |- The departure day of Istanbul is Day 11. The arrival day of Brussels is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Geneva, Budapest, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Istanbul to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Brussels (Day 15 - 17).\n         |- The departure day of Bucharest is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Split, Geneva, Budapest, Istanbul, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n           |- Try arranging to visit Brussels from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Bucharest to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Split, Geneva, Budapest, Istanbul, Bucharest, Brussels].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Brussels to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Split, Geneva, Budapest, Istanbul, Bucharest, Brussels, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Brussels.\n**Day 15-17:** Visit Brussels for 3 days.\n**Day 17:** Fly from Brussels to Seville.\n**Day 17-20:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Zurich**Dubrovnik**Geneva**Brussels**Reykjavik**Helsinki",
    "ground_truth_durations": "4**2**2**5**2**4**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 14,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 1 and day 4. You would like to visit Reykjavik for 4 days. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 6 and day 10. You would like to visit Zurich for 2 days. You want to spend 2 days in Brussels. You would like to visit Helsinki for 2 days. You want to meet a friend in Helsinki between day 14 and day 15.\n\nHere are the cities that have direct flights:\nZurich and Helsinki, Reykjavik and Helsinki, Brussels and Helsinki, Riga and Helsinki, Riga and Brussels, Brussels and Reykjavik, Geneva and Helsinki, Dubrovnik and Helsinki, Zurich and Brussels, Riga and Zurich, Geneva and Brussels, Zurich and Geneva, Zurich and Reykjavik, Zurich and Dubrovnik, Dubrovnik and Geneva.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dubrovnik. You plan to stay in Riga for 4 days. You have to attend a workshop in Riga between day 1 and day 4. You would like to visit Reykjavik for 4 days. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 6 and day 10. You would like to visit Zurich for 2 days. You want to spend 2 days in Brussels. You would like to visit Helsinki for 2 days. You want to meet a friend in Helsinki between day 14 and day 15.\n\nHere are the cities that have direct flights:\nfrom Zurich to Helsinki, from Reykjavik to Helsinki, from Brussels to Helsinki, from Riga to Helsinki, from Riga to Brussels, from Brussels to Reykjavik, from Geneva to Helsinki, from Dubrovnik to Helsinki, from Zurich to Brussels, from Riga to Zurich, from Geneva to Brussels, from Zurich to Geneva, from Zurich to Reykjavik, from Zurich to Dubrovnik, from Dubrovnik to Geneva.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Zurich.\n**Day 4-5:** Visit Zurich for 2 days.\n**Day 5:** Fly from Zurich to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Geneva.\n**Day 6-10:** Visit Geneva for 5 days.\n**Day 10:** Fly from Geneva to Brussels.\n**Day 10-11:** Visit Brussels for 2 days.\n**Day 11:** Fly from Brussels to Reykjavik.\n**Day 11-14:** Visit Reykjavik for 4 days.\n**Day 14:** Fly from Reykjavik to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.",
    "id": "trip_planning_example_905",
    "estimated_output_tokens": 1977,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 4 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Zurich, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 4.\n* City: Geneva, Fixed Schedule: Day 6 - 10.\n* City: Helsinki, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 6 - 10).\n |- The departure day of Riga is Day 4. The arrival day of Geneva is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik, Zurich, Brussels] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 6 - 10).\n   |- The departure day of Zurich is Day 5. The arrival day of Geneva is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik, Brussels] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 6 - 10).\n     |- The departure day of Dubrovnik is Day 6. The arrival day of Geneva is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Riga, Zurich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Dubrovnik to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 14 - 15).\n       |- The departure day of Geneva is Day 10. The arrival day of Helsinki is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Zurich, Dubrovnik, Geneva].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Geneva to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Geneva to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 14 - 15).\n         |- The departure day of Brussels is Day 11. The arrival day of Helsinki is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Riga, Zurich, Dubrovnik, Geneva, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Brussels to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 14 - 15).\n           |- The departure day of Reykjavik is Day 14. The arrival day of Helsinki is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Riga, Zurich, Dubrovnik, Geneva, Brussels, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Reykjavik to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Riga, Zurich, Dubrovnik, Geneva, Brussels, Reykjavik, Helsinki].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Zurich.\n**Day 4-5:** Visit Zurich for 2 days.\n**Day 5:** Fly from Zurich to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Geneva.\n**Day 6-10:** Visit Geneva for 5 days.\n**Day 10:** Fly from Geneva to Brussels.\n**Day 10-11:** Visit Brussels for 2 days.\n**Day 11:** Fly from Brussels to Reykjavik.\n**Day 11-14:** Visit Reykjavik for 4 days.\n**Day 14:** Fly from Reykjavik to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Brussels**Riga**Vilnius**Split**Paris**Venice",
    "ground_truth_durations": "4**3**2**5**5**5**3",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Paris"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Brussels",
        "Paris"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Brussels",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Venice. You want to spend 5 days in Split. You are going to attend a wedding in Split between day 11 and day 15. You would like to visit Riga for 2 days. During day 6 and day 7, you have to attend a conference in Riga. You plan to stay in Paris for 5 days. You want to spend 4 days in Geneva. You want to meet a friend in Geneva between day 1 and day 4. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nRiga and Paris, Paris and Venice, Geneva and Brussels, Brussels and Paris, Vilnius and Split, Split and Paris, Geneva and Paris, Geneva and Split, from Riga to Vilnius, Brussels and Riga, Vilnius and Paris, Brussels and Vilnius, Brussels and Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Venice. You want to spend 5 days in Split. You are going to attend a wedding in Split between day 11 and day 15. You would like to visit Riga for 2 days. During day 6 and day 7, you have to attend a conference in Riga. You plan to stay in Paris for 5 days. You want to spend 4 days in Geneva. You want to meet a friend in Geneva between day 1 and day 4. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Paris, from Paris to Venice, from Geneva to Brussels, from Brussels to Paris, from Vilnius to Split, from Split to Paris, from Geneva to Paris, from Geneva to Split, from Riga to Vilnius, from Brussels to Riga, from Vilnius to Paris, from Brussels to Vilnius, from Brussels to Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-11:** Visit Vilnius for 5 days.\n**Day 11:** Fly from Vilnius to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Paris.\n**Day 15-19:** Visit Paris for 5 days.\n**Day 19:** Fly from Paris to Venice.\n**Day 19-21:** Visit Venice for 3 days.",
    "id": "trip_planning_example_906",
    "estimated_output_tokens": 1971,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Paris, Duration: 5 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Riga, Fixed Schedule: Day 6 - 7.\n* City: Split, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 7).\n |- The departure day of Geneva is Day 4. The arrival day of Riga is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Paris, Brussels] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 7).\n   |- The departure day of Paris is Day 8. The arrival day of Riga is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 7).\n   |- The departure day of Brussels is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Brussels to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 11 - 15).\n     |- The departure day of Riga is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Brussels, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Paris] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 11 - 15).\n       |- The departure day of Vilnius is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Brussels, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Brussels, Riga, Vilnius, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Paris] and explore these options in order.\n           |- Try arranging to visit Venice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Split to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Brussels, Riga, Vilnius, Split, Paris].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n             |- Try arranging to visit Venice from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Paris to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Geneva, Brussels, Riga, Vilnius, Split, Paris, Venice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-11:** Visit Vilnius for 5 days.\n**Day 11:** Fly from Vilnius to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Paris.\n**Day 15-19:** Visit Paris for 5 days.\n**Day 19:** Fly from Paris to Venice.\n**Day 19-21:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Helsinki**Milan**Riga**Tallinn**Munich**Lyon",
    "ground_truth_durations": "4**5**2**3**2**3**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Riga"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Helsinki",
        "Munich"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Geneva",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You would like to visit Riga for 3 days. You want to spend 2 days in Milan. You plan to visit relatives in Milan between day 8 and day 9. You would like to visit Lyon for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Geneva for 4 days. During day 1 and day 4, you have to attend a conference in Geneva. You want to spend 3 days in Munich.\n\nHere are the cities that have direct flights:\nMilan and Riga, from Riga to Munich, from Riga to Tallinn, Helsinki and Milan, Helsinki and Riga, Milan and Munich, Helsinki and Tallinn, Munich and Lyon, Helsinki and Munich, Tallinn and Munich, Geneva and Munich, Geneva and Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Helsinki. You would like to visit Riga for 3 days. You want to spend 2 days in Milan. You plan to visit relatives in Milan between day 8 and day 9. You would like to visit Lyon for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Geneva for 4 days. During day 1 and day 4, you have to attend a conference in Geneva. You want to spend 3 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Milan to Riga, from Riga to Munich, from Riga to Tallinn, from Helsinki to Milan, from Helsinki to Riga, from Milan to Munich, from Helsinki to Tallinn, from Munich to Lyon, from Helsinki to Munich, from Tallinn to Munich, from Geneva to Munich, from Geneva to Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Helsinki.\n**Day 4-8:** Visit Helsinki for 5 days.\n**Day 8:** Fly from Helsinki to Milan.\n**Day 8-9:** Visit Milan for 2 days.\n**Day 9:** Fly from Milan to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Munich.\n**Day 12-14:** Visit Munich for 3 days.\n**Day 14:** Fly from Munich to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_907",
    "estimated_output_tokens": 1712,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Milan, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 8 - 9).\n |- The departure day of Geneva is Day 4. The arrival day of Milan is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga, Lyon, Tallinn, Munich] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 8 - 9).\n   |- The departure day of Helsinki is Day 8. The arrival day of Milan is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Geneva, Helsinki].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Helsinki to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Helsinki, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Lyon, Tallinn, Munich] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Milan to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Helsinki, Milan, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Munich] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Geneva, Helsinki, Milan, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Munich] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Tallinn to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Tallinn to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Geneva, Helsinki, Milan, Riga, Tallinn, Munich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Munich to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Geneva, Helsinki, Milan, Riga, Tallinn, Munich, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Helsinki.\n**Day 4-8:** Visit Helsinki for 5 days.\n**Day 8:** Fly from Helsinki to Milan.\n**Day 8-9:** Visit Milan for 2 days.\n**Day 9:** Fly from Milan to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Munich.\n**Day 12-14:** Visit Munich for 3 days.\n**Day 14:** Fly from Munich to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Bucharest**Lyon**Split**Krakow**Stockholm**Tallinn",
    "ground_truth_durations": "2**2**4**2**5**3**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 13,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Split",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to visit Stockholm for 3 days. You want to spend 2 days in Split. You plan to stay in Lyon for 4 days. You plan to visit relatives in Lyon between day 3 and day 6. You plan to stay in Krakow for 5 days. You want to spend 2 days in Naples. You would like to visit Tallinn for 4 days. You have to attend a workshop in Tallinn between day 13 and day 16.\n\nHere are the cities that have direct flights:\nStockholm and Tallinn, Krakow and Stockholm, Bucharest and Lyon, Naples and Split, Naples and Bucharest, Split and Krakow, Lyon and Split, Split and Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to visit Stockholm for 3 days. You want to spend 2 days in Split. You plan to stay in Lyon for 4 days. You plan to visit relatives in Lyon between day 3 and day 6. You plan to stay in Krakow for 5 days. You want to spend 2 days in Naples. You would like to visit Tallinn for 4 days. You have to attend a workshop in Tallinn between day 13 and day 16.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Tallinn, from Krakow to Stockholm, from Bucharest to Lyon, from Naples to Split, from Naples to Bucharest, from Split to Krakow, from Lyon to Split, from Split to Stockholm.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Bucharest.\n**Day 2-3:** Visit Bucharest for 2 days.\n**Day 3:** Fly from Bucharest to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Split.\n**Day 6-7:** Visit Split for 2 days.\n**Day 7:** Fly from Split to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Stockholm.\n**Day 11-13:** Visit Stockholm for 3 days.\n**Day 13:** Fly from Stockholm to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_908",
    "estimated_output_tokens": 3386,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Krakow, Duration: 5 days.\n* City: Naples, Duration: 2 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 3 - 6.\n* City: Tallinn, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Krakow, Duration: 5 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Stockholm, Split, Krakow, Naples] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Bucharest is Day 2. The arrival day of Lyon is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Split, Krakow, Naples] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Stockholm is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Split is Day 2. The arrival day of Lyon is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Stockholm, Krakow, Naples] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 3 - 6).\n   |- The departure day of Stockholm is Day 4. The arrival day of Lyon is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 3 - 6).\n   |- The departure day of Krakow is Day 6. The arrival day of Lyon is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Krakow is Day 5. The arrival day of Lyon is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 6).\n |- The departure day of Naples is Day 2. The arrival day of Lyon is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Stockholm, Split, Krakow] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 3 - 6).\n   |- The departure day of Bucharest is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Naples, Bucharest].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 13 - 16).\n     |- The departure day of Lyon is Day 6. The arrival day of Tallinn is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Bucharest, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Split, Krakow] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lyon to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 13 - 16).\n       |- The departure day of Split is Day 7. The arrival day of Tallinn is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Naples, Bucharest, Lyon, Split].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Krakow] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Split to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 13 - 16).\n         |- The departure day of Stockholm is Day 9. The arrival day of Tallinn is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Naples, Bucharest, Lyon, Split, Stockholm].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Stockholm to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Split to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 13 - 16).\n         |- The departure day of Krakow is Day 11. The arrival day of Tallinn is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Naples, Bucharest, Lyon, Split, Krakow].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Krakow to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 13 - 16).\n           |- The departure day of Stockholm is Day 13. The arrival day of Tallinn is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Naples, Bucharest, Lyon, Split, Krakow, Stockholm].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Stockholm to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Naples, Bucharest, Lyon, Split, Krakow, Stockholm, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Bucharest.\n**Day 2-3:** Visit Bucharest for 2 days.\n**Day 3:** Fly from Bucharest to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Split.\n**Day 6-7:** Visit Split for 2 days.\n**Day 7:** Fly from Split to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Stockholm.\n**Day 11-13:** Visit Stockholm for 3 days.\n**Day 13:** Fly from Stockholm to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Santorini**Athens**Brussels**Warsaw**Milan**Mykonos",
    "ground_truth_durations": "4**5**2**2**5**5**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Athens",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You plan to stay in Mykonos for 2 days. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 4 and day 8. You want to spend 5 days in Milan. From day 14 to day 18, there is a annual show you want to attend in Milan. You want to spend 5 days in Warsaw. You want to spend 4 days in Stockholm. You want to spend 2 days in Brussels. You plan to visit relatives in Brussels between day 9 and day 10.\n\nHere are the cities that have direct flights:\nStockholm and Milan, Athens and Brussels, Santorini and Athens, Stockholm and Brussels, Stockholm and Athens, from Stockholm to Santorini, Stockholm and Warsaw, Brussels and Warsaw, Warsaw and Milan, Athens and Mykonos, Athens and Milan, Santorini and Milan, Brussels and Milan, Milan and Mykonos, Athens and Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You plan to stay in Mykonos for 2 days. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 4 and day 8. You want to spend 5 days in Milan. From day 14 to day 18, there is a annual show you want to attend in Milan. You want to spend 5 days in Warsaw. You want to spend 4 days in Stockholm. You want to spend 2 days in Brussels. You plan to visit relatives in Brussels between day 9 and day 10.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Milan, from Athens to Brussels, from Santorini to Athens, from Stockholm to Brussels, from Stockholm to Athens, from Stockholm to Santorini, from Stockholm to Warsaw, from Brussels to Warsaw, from Warsaw to Milan, from Athens to Mykonos, from Athens to Milan, from Santorini to Milan, from Brussels to Milan, from Milan to Mykonos, from Athens to Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Brussels.\n**Day 9-10:** Visit Brussels for 2 days.\n**Day 10:** Fly from Brussels to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_909",
    "estimated_output_tokens": 2967,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Warsaw, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 4 - 8.\n* City: Brussels, Fixed Schedule: Day 9 - 10.\n* City: Milan, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Mykonos, Warsaw, Stockholm] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Athens is Day 2. The arrival day of Santorini is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Warsaw, Stockholm] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 4 - 8).\n   |- The departure day of Mykonos is Day 3. The arrival day of Santorini is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Athens, Mykonos].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Stockholm] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Mykonos to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Mykonos to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 4 - 8).\n   |- The departure day of Warsaw is Day 6. The arrival day of Santorini is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Athens to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Mykonos is Day 2. The arrival day of Santorini is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Warsaw, Stockholm] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Warsaw is Day 5. The arrival day of Santorini is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Stockholm is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 9 - 10).\n   |- The departure day of Santorini is Day 8. The arrival day of Brussels is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos, Warsaw] and explore these options in order.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Santorini to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 9 - 10).\n     |- The departure day of Athens is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Santorini, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 14 - 18).\n       |- The departure day of Brussels is Day 10. The arrival day of Milan is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Santorini, Athens, Brussels].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Warsaw] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Brussels to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n         |- The departure day of Warsaw is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stockholm, Santorini, Athens, Brussels, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Warsaw to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stockholm, Santorini, Athens, Brussels, Warsaw, Milan].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Milan to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Stockholm, Santorini, Athens, Brussels, Warsaw, Milan, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Brussels.\n**Day 9-10:** Visit Brussels for 2 days.\n**Day 10:** Fly from Brussels to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vilnius**Munich**Venice**Athens**Geneva**Valencia",
    "ground_truth_durations": "5**5**5**4**3**4**3",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Munich",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 1 and day 5. You plan to stay in Geneva for 4 days. You would like to visit Valencia for 3 days. You want to spend 5 days in Munich. You want to spend 4 days in Venice. You plan to stay in Athens for 3 days. During day 16 and day 18, you have to attend a conference in Athens. You want to spend 5 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Geneva and Valencia, from Riga to Munich, Venice and Athens, Munich and Valencia, Athens and Geneva, Vilnius and Athens, Munich and Geneva, from Athens to Riga, from Riga to Vilnius, from Valencia to Athens, Munich and Athens, Munich and Venice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 1 and day 5. You plan to stay in Geneva for 4 days. You would like to visit Valencia for 3 days. You want to spend 5 days in Munich. You want to spend 4 days in Venice. You plan to stay in Athens for 3 days. During day 16 and day 18, you have to attend a conference in Athens. You want to spend 5 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Geneva to Valencia, from Riga to Munich, from Venice to Athens, from Munich to Valencia, from Athens to Geneva, from Vilnius to Athens, from Munich to Geneva, from Athens to Riga, from Riga to Vilnius, from Valencia to Athens, from Munich to Athens, from Munich to Venice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Vilnius.\n**Day 5-9:** Visit Vilnius for 5 days.\n**Day 9:** Fly from Vilnius to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Venice.\n**Day 13-16:** Visit Venice for 4 days.\n**Day 16:** Fly from Venice to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Geneva.\n**Day 18-21:** Visit Geneva for 4 days.\n**Day 21:** Fly from Geneva to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_910",
    "estimated_output_tokens": 4100,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Geneva, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Vilnius, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Geneva, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 16 - 18).\n |- The departure day of Riga is Day 5. The arrival day of Athens is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Munich, Venice, Vilnius] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Riga to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Riga to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 16 - 18).\n   |- The departure day of Munich is Day 9. The arrival day of Athens is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Riga, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Venice, Vilnius] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 16 - 18).\n     |- The departure day of Geneva is Day 12. The arrival day of Athens is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Riga, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, Vilnius] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Geneva to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 16 - 18).\n       |- The departure day of Valencia is Day 14. The arrival day of Athens is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Riga, Munich, Geneva, Valencia].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius] and explore these options in order.\n         |- Try arranging to visit Venice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Valencia to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Valencia to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Geneva to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Munich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 16 - 18).\n     |- The departure day of Valencia is Day 11. The arrival day of Athens is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Munich, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Venice, Vilnius] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 16 - 18).\n     |- The departure day of Venice is Day 12. The arrival day of Athens is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Riga, Munich, Venice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Vilnius] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Venice to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Riga to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 16 - 18).\n   |- The departure day of Vilnius is Day 9. The arrival day of Athens is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Riga, Vilnius].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Munich, Venice] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Vilnius to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Vilnius to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 16 - 18).\n     |- The departure day of Munich is Day 13. The arrival day of Athens is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Riga, Vilnius, Munich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Venice] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Munich to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n       |- The departure day of Geneva is Day 16. The arrival day of Athens is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Riga, Vilnius, Munich, Geneva].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Athens.\n         |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Geneva to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Munich to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n       |- The departure day of Valencia is Day 15. The arrival day of Athens is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Riga, Vilnius, Munich, Valencia].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Venice] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Valencia to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Valencia to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Munich to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n       |- The departure day of Venice is Day 16. The arrival day of Athens is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Riga, Vilnius, Munich, Venice].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Athens.\n         |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Venice to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Riga, Vilnius, Munich, Venice, Athens].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Athens to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Riga, Vilnius, Munich, Venice, Athens, Geneva].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Geneva to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Riga, Vilnius, Munich, Venice, Athens, Geneva, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Riga and visit Riga for 5 days.\n**Day 5:** Fly from Riga to Vilnius.\n**Day 5-9:** Visit Vilnius for 5 days.\n**Day 9:** Fly from Vilnius to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Venice.\n**Day 13-16:** Visit Venice for 4 days.\n**Day 16:** Fly from Venice to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Geneva.\n**Day 18-21:** Visit Geneva for 4 days.\n**Day 21:** Fly from Geneva to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Istanbul**Krakow**Oslo**Dubrovnik**Copenhagen**Split",
    "ground_truth_durations": "5**5**3**3**5**2**5",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Split"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Stuttgart",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. From day 13 to day 17, there is a annual show you want to attend in Dubrovnik. You would like to visit Krakow for 3 days. You plan to stay in Stuttgart for 5 days. You want to spend 3 days in Oslo. You have to attend a workshop in Oslo between day 11 and day 13. You want to spend 2 days in Copenhagen. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 5 and day 9 to tour together. You plan to stay in Split for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Split, Stuttgart and Krakow, Oslo and Dubrovnik, Stuttgart and Copenhagen, Istanbul and Copenhagen, Krakow and Copenhagen, Copenhagen and Split, Krakow and Oslo, Stuttgart and Istanbul, from Dubrovnik to Istanbul, Dubrovnik and Copenhagen, Oslo and Copenhagen, Krakow and Split, Istanbul and Krakow, Istanbul and Oslo, Stuttgart and Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 5 days. From day 13 to day 17, there is a annual show you want to attend in Dubrovnik. You would like to visit Krakow for 3 days. You plan to stay in Stuttgart for 5 days. You want to spend 3 days in Oslo. You have to attend a workshop in Oslo between day 11 and day 13. You want to spend 2 days in Copenhagen. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 5 and day 9 to tour together. You plan to stay in Split for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Split, from Stuttgart to Krakow, from Oslo to Dubrovnik, from Stuttgart to Copenhagen, from Istanbul to Copenhagen, from Krakow to Copenhagen, from Copenhagen to Split, from Krakow to Oslo, from Stuttgart to Istanbul, from Dubrovnik to Istanbul, from Dubrovnik to Copenhagen, from Oslo to Copenhagen, from Krakow to Split, from Istanbul to Krakow, from Istanbul to Oslo, from Stuttgart to Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Copenhagen.\n**Day 17-18:** Visit Copenhagen for 2 days.\n**Day 18:** Fly from Copenhagen to Split.\n**Day 18-22:** Visit Split for 5 days.",
    "id": "trip_planning_example_911",
    "estimated_output_tokens": 2445,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Krakow, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Copenhagen, Duration: 2 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Split, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 9.\n* City: Oslo, Fixed Schedule: Day 11 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Split, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Stuttgart, Copenhagen, Split] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 9).\n |- The departure day of Krakow is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Copenhagen, Split] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Krakow to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 9).\n   |- The departure day of Copenhagen is Day 4. The arrival day of Istanbul is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Copenhagen].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Copenhagen to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Copenhagen to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 9).\n     |- The departure day of Split is Day 8. The arrival day of Istanbul is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 9).\n   |- The departure day of Split is Day 7. The arrival day of Istanbul is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 9).\n |- The departure day of Stuttgart is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 11 - 13).\n   |- The departure day of Istanbul is Day 9. The arrival day of Oslo is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Stuttgart, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Copenhagen, Split] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Istanbul to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 11 - 13).\n     |- The departure day of Krakow is Day 11. The arrival day of Oslo is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Istanbul, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Krakow to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 13 - 17).\n       |- The departure day of Oslo is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Istanbul, Krakow, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Stuttgart, Istanbul, Krakow, Oslo, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Split] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Dubrovnik to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stuttgart, Istanbul, Krakow, Oslo, Dubrovnik, Copenhagen].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Copenhagen to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Stuttgart, Istanbul, Krakow, Oslo, Dubrovnik, Copenhagen, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Copenhagen.\n**Day 17-18:** Visit Copenhagen for 2 days.\n**Day 18:** Fly from Copenhagen to Split.\n**Day 18-22:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**London**Prague**Lyon**Vienna**Riga**Manchester",
    "ground_truth_durations": "5**4**5**2**2**3**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Riga"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "London",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. During day 8 and day 12, you have to attend a conference in Prague. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 1 and day 5 to tour together. You plan to stay in London for 4 days. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 14 and day 16. You plan to stay in Vienna for 2 days. You plan to stay in Lyon for 2 days. You plan to stay in Manchester for 5 days.\n\nHere are the cities that have direct flights:\nPrague and Riga, London and Vienna, London and Lyon, Berlin and Manchester, Berlin and Riga, Vienna and Riga, Prague and Manchester, Prague and Lyon, Berlin and Vienna, Prague and Vienna, Riga and Manchester, Berlin and London, London and Prague, Lyon and Vienna, Vienna and Manchester, London and Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. During day 8 and day 12, you have to attend a conference in Prague. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 1 and day 5 to tour together. You plan to stay in London for 4 days. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 14 and day 16. You plan to stay in Vienna for 2 days. You plan to stay in Lyon for 2 days. You plan to stay in Manchester for 5 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Riga, from London to Vienna, from London to Lyon, from Berlin to Manchester, from Berlin to Riga, from Vienna to Riga, from Prague to Manchester, from Prague to Lyon, from Berlin to Vienna, from Prague to Vienna, from Riga to Manchester, from Berlin to London, from London to Prague, from Lyon to Vienna, from Vienna to Manchester, from London to Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Prague.\n**Day 8-12:** Visit Prague for 5 days.\n**Day 12:** Fly from Prague to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Manchester.\n**Day 16-20:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_912",
    "estimated_output_tokens": 2083,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: London, Duration: 4 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Vienna, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Prague, Fixed Schedule: Day 8 - 12.\n* City: Riga, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: London, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 8 - 12).\n |- The departure day of Berlin is Day 5. The arrival day of Prague is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Vienna, Lyon, Manchester] and explore these options in order.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 8 - 12).\n   |- The departure day of London is Day 8. The arrival day of Prague is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from London to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 14 - 16).\n     |- The departure day of Prague is Day 12. The arrival day of Riga is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, London, Prague].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Manchester] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 14 - 16).\n       |- The departure day of Vienna is Day 13. The arrival day of Riga is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, London, Prague, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vienna to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 14 - 16).\n         |- The departure day of Manchester is Day 17. The arrival day of Riga is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 14 - 16).\n       |- The departure day of Lyon is Day 13. The arrival day of Riga is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, London, Prague, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lyon to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 14 - 16).\n         |- The departure day of Vienna is Day 14. The arrival day of Riga is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, London, Prague, Lyon, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Berlin, London, Prague, Lyon, Vienna, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Riga to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, London, Prague, Lyon, Vienna, Riga, Manchester].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Prague.\n**Day 8-12:** Visit Prague for 5 days.\n**Day 12:** Fly from Prague to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Manchester.\n**Day 16-20:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Reykjavik**Milan**Santorini**Geneva**Split**Vilnius",
    "ground_truth_durations": "2**4**3**5**5**3**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Vilnius"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Milan",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 3 days. You plan to stay in Geneva for 5 days. You would like to visit Reykjavik for 4 days. You want to meet a friend in Reykjavik between day 2 and day 5. You would like to visit Santorini for 5 days. You are going to attend a wedding in Santorini between day 7 and day 11. You would like to visit Helsinki for 2 days. You would like to visit Vilnius for 4 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nSplit and Vilnius, Reykjavik and Milan, Helsinki and Reykjavik, Milan and Santorini, Milan and Split, Helsinki and Vilnius, Geneva and Split, Helsinki and Split, Helsinki and Geneva, Santorini and Geneva, Helsinki and Milan, Milan and Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 3 days. You plan to stay in Geneva for 5 days. You would like to visit Reykjavik for 4 days. You want to meet a friend in Reykjavik between day 2 and day 5. You would like to visit Santorini for 5 days. You are going to attend a wedding in Santorini between day 7 and day 11. You would like to visit Helsinki for 2 days. You would like to visit Vilnius for 4 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nfrom Split to Vilnius, from Reykjavik to Milan, from Helsinki to Reykjavik, from Milan to Santorini, from Milan to Split, from Helsinki to Vilnius, from Geneva to Split, from Helsinki to Split, from Helsinki to Geneva, from Santorini to Geneva, from Helsinki to Milan, from Milan to Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Reykjavik.\n**Day 2-5:** Visit Reykjavik for 4 days.\n**Day 5:** Fly from Reykjavik to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Santorini.\n**Day 7-11:** Visit Santorini for 5 days.\n**Day 11:** Fly from Santorini to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_913",
    "estimated_output_tokens": 2019,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Helsinki, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 2 - 5.\n* City: Santorini, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Geneva, Helsinki, Vilnius, Split] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 2 - 5).\n |- The departure day of Milan is Day 3. The arrival day of Reykjavik is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 2 - 5).\n |- The departure day of Geneva is Day 5. The arrival day of Reykjavik is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 2 - 5).\n |- The departure day of Helsinki is Day 2. The arrival day of Reykjavik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 7 - 11).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Santorini is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Geneva, Vilnius, Split] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Reykjavik to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 7 - 11).\n     |- The departure day of Milan is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Reykjavik, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Helsinki, Reykjavik, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Vilnius, Split] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Santorini to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Reykjavik, Milan, Santorini, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Split] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Geneva to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Geneva to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Helsinki, Reykjavik, Milan, Santorini, Geneva, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Split to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Helsinki, Reykjavik, Milan, Santorini, Geneva, Split, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Reykjavik.\n**Day 2-5:** Visit Reykjavik for 4 days.\n**Day 5:** Fly from Reykjavik to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Santorini.\n**Day 7-11:** Visit Santorini for 5 days.\n**Day 11:** Fly from Santorini to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Geneva**Copenhagen**Tallinn**Vilnius**Frankfurt**Salzburg",
    "ground_truth_durations": "5**5**4**2**5**5**5",
    "num_cities": 7,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Oslo",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You have to attend a workshop in Oslo between day 1 and day 5. You would like to visit Copenhagen for 4 days. You plan to stay in Vilnius for 5 days. You plan to visit relatives in Vilnius between day 13 and day 17. You would like to visit Salzburg for 5 days. You want to spend 2 days in Tallinn. You want to spend 5 days in Geneva. You want to spend 5 days in Frankfurt.\n\nHere are the cities that have direct flights:\nCopenhagen and Frankfurt, Oslo and Vilnius, Tallinn and Frankfurt, Vilnius and Frankfurt, Oslo and Geneva, from Tallinn to Vilnius, Copenhagen and Vilnius, Oslo and Tallinn, Oslo and Frankfurt, Geneva and Frankfurt, Geneva and Copenhagen, Frankfurt and Salzburg, Copenhagen and Tallinn, Oslo and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You have to attend a workshop in Oslo between day 1 and day 5. You would like to visit Copenhagen for 4 days. You plan to stay in Vilnius for 5 days. You plan to visit relatives in Vilnius between day 13 and day 17. You would like to visit Salzburg for 5 days. You want to spend 2 days in Tallinn. You want to spend 5 days in Geneva. You want to spend 5 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Frankfurt, from Oslo to Vilnius, from Tallinn to Frankfurt, from Vilnius to Frankfurt, from Oslo to Geneva, from Tallinn to Vilnius, from Copenhagen to Vilnius, from Oslo to Tallinn, from Oslo to Frankfurt, from Geneva to Frankfurt, from Geneva to Copenhagen, from Frankfurt to Salzburg, from Copenhagen to Tallinn, from Oslo to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 25 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Geneva.\n**Day 5-9:** Visit Geneva for 5 days.\n**Day 9:** Fly from Geneva to Copenhagen.\n**Day 9-12:** Visit Copenhagen for 4 days.\n**Day 12:** Fly from Copenhagen to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n**Day 17:** Fly from Vilnius to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.\n**Day 21:** Fly from Frankfurt to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_914",
    "estimated_output_tokens": 3990,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Duration: 4 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Salzburg, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 13 - 17).\n |- The departure day of Oslo is Day 5. The arrival day of Vilnius is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Tallinn, Geneva, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 13 - 17).\n   |- The departure day of Copenhagen is Day 8. The arrival day of Vilnius is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Copenhagen].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Tallinn, Geneva, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 13 - 17).\n     |- The departure day of Tallinn is Day 9. The arrival day of Vilnius is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Copenhagen, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Geneva, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 13 - 17).\n       |- The departure day of Frankfurt is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Oslo, Copenhagen, Tallinn, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Frankfurt to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 13 - 17).\n     |- The departure day of Frankfurt is Day 12. The arrival day of Vilnius is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Oslo, Copenhagen, Frankfurt].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Tallinn, Geneva] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Frankfurt to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 13 - 17).\n       |- The departure day of Salzburg is Day 16. The arrival day of Vilnius is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Frankfurt to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 13 - 17).\n   |- The departure day of Tallinn is Day 6. The arrival day of Vilnius is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Tallinn].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Geneva, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Tallinn to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Tallinn to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Tallinn to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Tallinn to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 13 - 17).\n     |- The departure day of Frankfurt is Day 10. The arrival day of Vilnius is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Oslo, Tallinn, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Geneva] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Frankfurt to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Frankfurt to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 13 - 17).\n       |- The departure day of Salzburg is Day 14. The arrival day of Vilnius is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Frankfurt to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 13 - 17).\n   |- The departure day of Geneva is Day 9. The arrival day of Vilnius is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Oslo, Geneva].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Salzburg, Tallinn, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Geneva to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 13 - 17).\n     |- The departure day of Copenhagen is Day 12. The arrival day of Vilnius is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Oslo, Geneva, Copenhagen].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Tallinn, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Copenhagen to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 13 - 17).\n       |- The departure day of Tallinn is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Oslo, Geneva, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Oslo, Geneva, Copenhagen, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vilnius to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vilnius to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Oslo, Geneva, Copenhagen, Tallinn, Vilnius, Frankfurt].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Oslo, Geneva, Copenhagen, Tallinn, Vilnius, Frankfurt, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Geneva.\n**Day 5-9:** Visit Geneva for 5 days.\n**Day 9:** Fly from Geneva to Copenhagen.\n**Day 9-12:** Visit Copenhagen for 4 days.\n**Day 12:** Fly from Copenhagen to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n**Day 17:** Fly from Vilnius to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.\n**Day 21:** Fly from Frankfurt to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Prague**Tallinn**Frankfurt**Bucharest**Zurich**Venice",
    "ground_truth_durations": "5**4**5**5**3**5**5",
    "num_cities": 7,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 22 and day 26. You want to spend 4 days in Prague. You want to spend 5 days in Frankfurt. From day 12 to day 16, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Zurich. You would like to visit Florence for 5 days. You want to spend 5 days in Tallinn. You would like to meet your friends at Tallinn between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nPrague and Tallinn, Prague and Zurich, Florence and Prague, Frankfurt and Bucharest, Frankfurt and Venice, Prague and Bucharest, Bucharest and Zurich, Tallinn and Frankfurt, from Zurich to Florence, Frankfurt and Zurich, Zurich and Venice, Florence and Frankfurt, Prague and Frankfurt, Tallinn and Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 22 and day 26. You want to spend 4 days in Prague. You want to spend 5 days in Frankfurt. From day 12 to day 16, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Zurich. You would like to visit Florence for 5 days. You want to spend 5 days in Tallinn. You would like to meet your friends at Tallinn between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Prague to Tallinn, from Prague to Zurich, from Florence to Prague, from Frankfurt to Bucharest, from Frankfurt to Venice, from Prague to Bucharest, from Bucharest to Zurich, from Tallinn to Frankfurt, from Zurich to Florence, from Frankfurt to Zurich, from Zurich to Venice, from Florence to Frankfurt, from Prague to Frankfurt, from Tallinn to Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 26 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Venice.\n**Day 22-26:** Visit Venice for 5 days.",
    "id": "trip_planning_example_915",
    "estimated_output_tokens": 3797,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Prague, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Zurich, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 8 - 12.\n* City: Frankfurt, Fixed Schedule: Day 12 - 16.\n* City: Venice, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Prague, Zurich, Florence] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 12).\n |- The departure day of Bucharest is Day 3. The arrival day of Tallinn is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Zurich, Florence] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 8 - 12).\n   |- The departure day of Zurich is Day 7. The arrival day of Tallinn is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Florence] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 8 - 12).\n     |- The departure day of Florence is Day 11. The arrival day of Tallinn is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 12).\n |- The departure day of Prague is Day 4. The arrival day of Tallinn is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich, Florence] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 12).\n   |- The departure day of Bucharest is Day 6. The arrival day of Tallinn is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Florence] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Bucharest to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 12).\n     |- The departure day of Zurich is Day 10. The arrival day of Tallinn is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Bucharest to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 12).\n   |- The departure day of Zurich is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 12).\n |- The departure day of Zurich is Day 5. The arrival day of Tallinn is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Prague, Florence] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Zurich to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Zurich to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 12).\n   |- The departure day of Florence is Day 9. The arrival day of Tallinn is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 12).\n |- The departure day of Florence is Day 5. The arrival day of Tallinn is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Prague, Zurich] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Florence to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 12).\n   |- The departure day of Prague is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Florence, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 12 - 16).\n     |- The departure day of Tallinn is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Florence, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n       |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Tallinn to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 22 - 26).\n       |- The departure day of Frankfurt is Day 16. The arrival day of Venice is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Florence, Prague, Tallinn, Frankfurt].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Frankfurt to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 22 - 26).\n         |- The departure day of Bucharest is Day 18. The arrival day of Venice is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Florence, Prague, Tallinn, Frankfurt, Bucharest].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Bucharest to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Venice (Day 22 - 26).\n           |- The departure day of Zurich is Day 22. The arrival day of Venice is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Florence, Prague, Tallinn, Frankfurt, Bucharest, Zurich].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Zurich to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Florence, Prague, Tallinn, Frankfurt, Bucharest, Zurich, Venice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Venice.\n**Day 22-26:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Rome**Riga**Zurich**Krakow**Split",
    "ground_truth_durations": "2**2**2**2**5**5**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Venice"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Krakow",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Zurich. You would like to visit Venice for 2 days. You want to meet a friend in Venice between day 2 and day 3. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 1 and day 2. You want to spend 5 days in Split. From day 13 to day 17, there is a annual show you want to attend in Split. You would like to visit Rome for 2 days. You would like to visit Riga for 2 days. You want to spend 5 days in Krakow.\n\nHere are the cities that have direct flights:\nBerlin and Venice, Venice and Rome, Zurich and Split, Rome and Zurich, Zurich and Krakow, Venice and Zurich, Berlin and Krakow, Riga and Zurich, Berlin and Split, Berlin and Rome, Berlin and Zurich, Rome and Split, from Rome to Riga, Berlin and Riga, Krakow and Split.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Zurich. You would like to visit Venice for 2 days. You want to meet a friend in Venice between day 2 and day 3. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 1 and day 2. You want to spend 5 days in Split. From day 13 to day 17, there is a annual show you want to attend in Split. You would like to visit Rome for 2 days. You would like to visit Riga for 2 days. You want to spend 5 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Berlin to Venice, from Venice to Rome, from Zurich to Split, from Rome to Zurich, from Zurich to Krakow, from Venice to Zurich, from Berlin to Krakow, from Riga to Zurich, from Berlin to Split, from Berlin to Rome, from Berlin to Zurich, from Rome to Split, from Rome to Riga, from Berlin to Riga, from Krakow to Split.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Zurich.\n**Day 5-9:** Visit Zurich for 5 days.\n**Day 9:** Fly from Zurich to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.\n**Day 13:** Fly from Krakow to Split.\n**Day 13-17:** Visit Split for 5 days.",
    "id": "trip_planning_example_916",
    "estimated_output_tokens": 2907,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Rome, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Krakow, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 2 - 3.\n* City: Split, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Krakow, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 3).\n |- The departure day of Berlin is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 13 - 17).\n   |- The departure day of Venice is Day 3. The arrival day of Split is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Rome, Riga, Krakow] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Venice to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 13 - 17).\n     |- The departure day of Zurich is Day 7. The arrival day of Split is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Venice, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Riga, Krakow] and explore these options in order.\n       |- Try arranging to visit Rome from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Zurich to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Zurich to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Zurich to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 13 - 17).\n       |- The departure day of Krakow is Day 11. The arrival day of Split is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Venice, Zurich, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Riga] and explore these options in order.\n         |- Try arranging to visit Rome from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Krakow to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Krakow to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Venice to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 13 - 17).\n     |- The departure day of Rome is Day 4. The arrival day of Split is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Berlin, Venice, Rome].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Riga, Krakow] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Rome to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 13 - 17).\n       |- The departure day of Zurich is Day 8. The arrival day of Split is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Berlin, Venice, Rome, Zurich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Krakow] and explore these options in order.\n         |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Zurich to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Zurich to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 13 - 17).\n         |- The departure day of Krakow is Day 12. The arrival day of Split is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Berlin, Venice, Rome, Zurich, Krakow].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Krakow to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Rome to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 13 - 17).\n       |- The departure day of Riga is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Berlin, Venice, Rome, Riga].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Krakow] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from Riga to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n         |- The departure day of Zurich is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Berlin, Venice, Rome, Riga, Zurich].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Zurich to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 17).\n           |- The departure day of Krakow is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Berlin, Venice, Rome, Riga, Zurich, Krakow].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n             |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Krakow to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Venice, Rome, Riga, Zurich, Krakow, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Zurich.\n**Day 5-9:** Visit Zurich for 5 days.\n**Day 9:** Fly from Zurich to Krakow.\n**Day 9-13:** Visit Krakow for 5 days.\n**Day 13:** Fly from Krakow to Split.\n**Day 13-17:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**London**Milan**Barcelona**Dubrovnik**Rome**Mykonos",
    "ground_truth_durations": "5**5**3**5**4**4**3",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Barcelona",
        "Rome"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Rome",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. During day 21 and day 23, you have to attend a conference in Mykonos. You would like to visit Dubrovnik for 4 days. You would like to visit Barcelona for 5 days. You would like to visit London for 5 days. You want to spend 3 days in Milan. From day 9 to day 11, there is a annual show you want to attend in Milan. You plan to stay in Rome for 4 days. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nHamburg and Milan, Barcelona and Rome, Barcelona and Dubrovnik, London and Mykonos, Milan and Barcelona, London and Barcelona, Hamburg and Barcelona, London and Milan, Hamburg and Rome, Dubrovnik and Rome, Hamburg and London, Milan and Mykonos, London and Rome, Rome and Mykonos.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. During day 21 and day 23, you have to attend a conference in Mykonos. You would like to visit Dubrovnik for 4 days. You would like to visit Barcelona for 5 days. You would like to visit London for 5 days. You want to spend 3 days in Milan. From day 9 to day 11, there is a annual show you want to attend in Milan. You plan to stay in Rome for 4 days. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Milan, from Barcelona to Rome, from Barcelona to Dubrovnik, from London to Mykonos, from Milan to Barcelona, from London to Barcelona, from Hamburg to Barcelona, from London to Milan, from Hamburg to Rome, from Dubrovnik to Rome, from Hamburg to London, from Milan to Mykonos, from London to Rome, from Rome to Mykonos.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Barcelona.\n**Day 11-15:** Visit Barcelona for 5 days.\n**Day 15:** Fly from Barcelona to Dubrovnik.\n**Day 15-18:** Visit Dubrovnik for 4 days.\n**Day 18:** Fly from Dubrovnik to Rome.\n**Day 18-21:** Visit Rome for 4 days.\n**Day 21:** Fly from Rome to Mykonos.\n**Day 21-23:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_917",
    "estimated_output_tokens": 2146,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Dubrovnik, Duration: 4 days.\n* City: Barcelona, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Rome, Duration: 4 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 5.\n* City: Milan, Fixed Schedule: Day 9 - 11.\n* City: Mykonos, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Barcelona, Duration: 5 days.\n* City: London, Duration: 5 days.\n* City: Rome, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 9 - 11).\n |- The departure day of Hamburg is Day 5. The arrival day of Milan is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Barcelona, London, Rome] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 9 - 11).\n   |- The departure day of Barcelona is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Barcelona to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 9 - 11).\n   |- The departure day of London is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 21 - 23).\n     |- The departure day of Milan is Day 11. The arrival day of Mykonos is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, London, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Barcelona, Rome] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Milan to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 21 - 23).\n       |- The departure day of Barcelona is Day 15. The arrival day of Mykonos is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Hamburg, London, Milan, Barcelona].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Barcelona to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 21 - 23).\n         |- The departure day of Dubrovnik is Day 18. The arrival day of Mykonos is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Hamburg, London, Milan, Barcelona, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n           |- Try arranging to visit Rome from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Dubrovnik to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 21 - 23).\n           |- The departure day of Rome is Day 21. The arrival day of Mykonos is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Hamburg, London, Milan, Barcelona, Dubrovnik, Rome].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Mykonos.\n             |- Try arranging to visit Mykonos from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Rome to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Hamburg, London, Milan, Barcelona, Dubrovnik, Rome, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Barcelona.\n**Day 11-15:** Visit Barcelona for 5 days.\n**Day 15:** Fly from Barcelona to Dubrovnik.\n**Day 15-18:** Visit Dubrovnik for 4 days.\n**Day 18:** Fly from Dubrovnik to Rome.\n**Day 18-21:** Visit Rome for 4 days.\n**Day 21:** Fly from Rome to Mykonos.\n**Day 21-23:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Lisbon**Lyon**Bucharest**Manchester**Oslo**Reykjavik",
    "ground_truth_durations": "5**4**3**2**5**3**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to meet your friends at Lyon between day 8 and day 10 to tour together. You want to spend 4 days in Lisbon. You want to spend 4 days in Reykjavik. You want to spend 5 days in Manchester. You would like to visit Bucharest for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 15 and day 17. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5.\n\nHere are the cities that have direct flights:\nLisbon and Manchester, Nice and Lyon, Bucharest and Oslo, Nice and Lisbon, Manchester and Oslo, Oslo and Reykjavik, Nice and Manchester, Lyon and Oslo, Bucharest and Manchester, Lyon and Bucharest, Lisbon and Oslo, Nice and Oslo, Lisbon and Lyon, Nice and Reykjavik, Lisbon and Reykjavik, Lisbon and Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to meet your friends at Lyon between day 8 and day 10 to tour together. You want to spend 4 days in Lisbon. You want to spend 4 days in Reykjavik. You want to spend 5 days in Manchester. You would like to visit Bucharest for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 15 and day 17. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Manchester, from Nice to Lyon, from Bucharest to Oslo, from Nice to Lisbon, from Manchester to Oslo, from Oslo to Reykjavik, from Nice to Manchester, from Lyon to Oslo, from Bucharest to Manchester, from Lyon to Bucharest, from Lisbon to Oslo, from Nice to Oslo, from Lisbon to Lyon, from Nice to Reykjavik, from Lisbon to Reykjavik, from Lisbon to Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Lyon.\n**Day 8-10:** Visit Lyon for 3 days.\n**Day 10:** Fly from Lyon to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_918",
    "estimated_output_tokens": 1892,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Lisbon, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Lyon, Fixed Schedule: Day 8 - 10.\n* City: Oslo, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 10).\n |- The departure day of Nice is Day 5. The arrival day of Lyon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Reykjavik, Manchester, Bucharest] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 10).\n   |- The departure day of Lisbon is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Lisbon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 15 - 17).\n     |- The departure day of Lyon is Day 10. The arrival day of Oslo is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Nice, Lisbon, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Bucharest] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Lyon to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Lyon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 15 - 17).\n       |- The departure day of Bucharest is Day 11. The arrival day of Oslo is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Lisbon, Lyon, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Bucharest to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Bucharest to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 15 - 17).\n         |- The departure day of Manchester is Day 15. The arrival day of Oslo is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Nice, Lisbon, Lyon, Bucharest, Manchester].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Manchester to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Nice, Lisbon, Lyon, Bucharest, Manchester, Oslo].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Oslo to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Nice, Lisbon, Lyon, Bucharest, Manchester, Oslo, Reykjavik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Lyon.\n**Day 8-10:** Visit Lyon for 3 days.\n**Day 10:** Fly from Lyon to Bucharest.\n**Day 10-11:** Visit Bucharest for 2 days.\n**Day 11:** Fly from Bucharest to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Rome**Riga**Vilnius**Milan**Lisbon**Oslo",
    "ground_truth_durations": "4**3**2**4**2**3**3",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Oslo"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Vienna",
        "Milan"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Milan",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. During day 1 and day 4, you have to attend a conference in Vienna. You want to spend 2 days in Milan. You plan to stay in Rome for 3 days. You would like to visit Riga for 2 days. You would like to visit Lisbon for 3 days. You plan to visit relatives in Lisbon between day 11 and day 13. You want to spend 4 days in Vilnius. You want to spend 3 days in Oslo. You want to meet a friend in Oslo between day 13 and day 15.\n\nHere are the cities that have direct flights:\nRiga and Oslo, Rome and Oslo, Vienna and Milan, Vienna and Vilnius, Vienna and Lisbon, Riga and Milan, Lisbon and Oslo, from Rome to Riga, Rome and Lisbon, Vienna and Riga, Vienna and Rome, Milan and Oslo, Vienna and Oslo, Vilnius and Oslo, from Riga to Vilnius, Vilnius and Milan, Riga and Lisbon, Milan and Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. During day 1 and day 4, you have to attend a conference in Vienna. You want to spend 2 days in Milan. You plan to stay in Rome for 3 days. You would like to visit Riga for 2 days. You would like to visit Lisbon for 3 days. You plan to visit relatives in Lisbon between day 11 and day 13. You want to spend 4 days in Vilnius. You want to spend 3 days in Oslo. You want to meet a friend in Oslo between day 13 and day 15.\n\nHere are the cities that have direct flights:\nfrom Riga to Oslo, from Rome to Oslo, from Vienna to Milan, from Vienna to Vilnius, from Vienna to Lisbon, from Riga to Milan, from Lisbon to Oslo, from Rome to Riga, from Rome to Lisbon, from Vienna to Riga, from Vienna to Rome, from Milan to Oslo, from Vienna to Oslo, from Vilnius to Oslo, from Riga to Vilnius, from Vilnius to Milan, from Riga to Lisbon, from Milan to Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-10:** Visit Vilnius for 4 days.\n**Day 10:** Fly from Vilnius to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.",
    "id": "trip_planning_example_919",
    "estimated_output_tokens": 2453,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Milan, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Vilnius, Duration: 4 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 11 - 13.\n* City: Oslo, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 11 - 13).\n |- The departure day of Vienna is Day 4. The arrival day of Lisbon is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Rome, Riga, Vilnius] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vienna to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 11 - 13).\n   |- The departure day of Milan is Day 5. The arrival day of Lisbon is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Riga, Vilnius] and explore these options in order.\n     |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vienna to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 11 - 13).\n   |- The departure day of Rome is Day 6. The arrival day of Lisbon is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Riga, Vilnius] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 11 - 13).\n     |- The departure day of Riga is Day 7. The arrival day of Lisbon is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Rome, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Riga to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 11 - 13).\n       |- The departure day of Milan is Day 8. The arrival day of Lisbon is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Vienna, Rome, Riga, Milan].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Milan to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 11 - 13).\n       |- The departure day of Vilnius is Day 10. The arrival day of Lisbon is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Rome, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vilnius to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 11 - 13).\n         |- The departure day of Milan is Day 11. The arrival day of Lisbon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vienna, Rome, Riga, Vilnius, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Milan to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 13 - 15).\n           |- The departure day of Lisbon is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Vienna, Rome, Riga, Vilnius, Milan, Lisbon].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Lisbon to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Vienna, Rome, Riga, Vilnius, Milan, Lisbon, Oslo].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-10:** Visit Vilnius for 4 days.\n**Day 10:** Fly from Vilnius to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Venice**Lisbon**Valencia**Bucharest**Munich**Dubrovnik",
    "ground_truth_durations": "4**2**4**4**5**3**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Brussels",
        "Munich"
      ],
      [
        "Brussels",
        "Lisbon"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Lisbon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Dubrovnik for 3 days. You plan to visit relatives in Dubrovnik between day 17 and day 19. You plan to stay in Valencia for 4 days. During day 8 and day 11, you have to attend a conference in Valencia. You want to spend 5 days in Bucharest. You plan to stay in Munich for 3 days. You plan to stay in Lisbon for 4 days. You want to spend 4 days in Brussels. You want to meet a friend in Brussels between day 1 and day 4.\n\nHere are the cities that have direct flights:\nValencia and Bucharest, Brussels and Venice, Bucharest and Munich, Venice and Munich, Valencia and Munich, Venice and Lisbon, Lisbon and Valencia, Brussels and Munich, Brussels and Lisbon, Brussels and Bucharest, Lisbon and Munich, Munich and Dubrovnik, Brussels and Valencia, Lisbon and Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Dubrovnik for 3 days. You plan to visit relatives in Dubrovnik between day 17 and day 19. You plan to stay in Valencia for 4 days. During day 8 and day 11, you have to attend a conference in Valencia. You want to spend 5 days in Bucharest. You plan to stay in Munich for 3 days. You plan to stay in Lisbon for 4 days. You want to spend 4 days in Brussels. You want to meet a friend in Brussels between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Valencia to Bucharest, from Brussels to Venice, from Bucharest to Munich, from Venice to Munich, from Valencia to Munich, from Venice to Lisbon, from Lisbon to Valencia, from Brussels to Munich, from Brussels to Lisbon, from Brussels to Bucharest, from Lisbon to Munich, from Munich to Dubrovnik, from Brussels to Valencia, from Lisbon to Bucharest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_920",
    "estimated_output_tokens": 2135,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Bucharest, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Fixed Schedule: Day 8 - 11.\n* City: Dubrovnik, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 11).\n |- The departure day of Brussels is Day 4. The arrival day of Valencia is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Bucharest, Munich, Lisbon] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 8 - 11).\n   |- The departure day of Venice is Day 5. The arrival day of Valencia is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich, Lisbon] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 11).\n     |- The departure day of Munich is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Venice, Munich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Munich to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Munich to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 11).\n     |- The departure day of Lisbon is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Brussels, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 17 - 19).\n       |- The departure day of Valencia is Day 11. The arrival day of Dubrovnik is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Venice, Lisbon, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 17 - 19).\n         |- The departure day of Bucharest is Day 15. The arrival day of Dubrovnik is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Brussels, Venice, Lisbon, Valencia, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n           |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Bucharest to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 17 - 19).\n           |- The departure day of Munich is Day 17. The arrival day of Dubrovnik is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Venice, Lisbon, Valencia, Bucharest, Munich].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Munich to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Brussels, Venice, Lisbon, Valencia, Bucharest, Munich, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-15:** Visit Bucharest for 5 days.\n**Day 15:** Fly from Bucharest to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Edinburgh**Venice**Santorini**Zurich**Warsaw**Vilnius",
    "ground_truth_durations": "4**2**5**2**4**3**5",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Zurich"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Edinburgh",
        "Zurich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Porto",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You want to spend 5 days in Vilnius. You plan to stay in Santorini for 2 days. You are going to attend a wedding in Santorini between day 9 and day 10. You would like to visit Porto for 4 days. You want to spend 3 days in Warsaw. From day 13 to day 15, there is a annual show you want to attend in Warsaw. You plan to stay in Zurich for 4 days. You want to meet a friend in Zurich between day 10 and day 13. You want to spend 5 days in Venice.\n\nHere are the cities that have direct flights:\nPorto and Zurich, Zurich and Warsaw, Zurich and Vilnius, Edinburgh and Venice, Porto and Edinburgh, Warsaw and Vilnius, Venice and Santorini, Venice and Warsaw, Santorini and Zurich, Edinburgh and Zurich, Venice and Zurich, Porto and Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You want to spend 5 days in Vilnius. You plan to stay in Santorini for 2 days. You are going to attend a wedding in Santorini between day 9 and day 10. You would like to visit Porto for 4 days. You want to spend 3 days in Warsaw. From day 13 to day 15, there is a annual show you want to attend in Warsaw. You plan to stay in Zurich for 4 days. You want to meet a friend in Zurich between day 10 and day 13. You want to spend 5 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Porto to Zurich, from Zurich to Warsaw, from Zurich to Vilnius, from Edinburgh to Venice, from Porto to Edinburgh, from Warsaw to Vilnius, from Venice to Santorini, from Venice to Warsaw, from Santorini to Zurich, from Edinburgh to Zurich, from Venice to Zurich, from Porto to Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Vilnius.\n**Day 15-19:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_921",
    "estimated_output_tokens": 2790,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Porto, Duration: 4 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 9 - 10.\n* City: Zurich, Fixed Schedule: Day 10 - 13.\n* City: Warsaw, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Porto, Venice] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 9 - 10).\n |- The departure day of Edinburgh is Day 2. The arrival day of Santorini is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto, Venice] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 9 - 10).\n   |- The departure day of Venice is Day 6. The arrival day of Santorini is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 9 - 10).\n |- The departure day of Vilnius is Day 5. The arrival day of Santorini is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto, Venice] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 9 - 10).\n |- The departure day of Porto is Day 4. The arrival day of Santorini is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Venice] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Porto to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 9 - 10).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Santorini is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Edinburgh to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 9 - 10).\n     |- The departure day of Venice is Day 9. The arrival day of Santorini is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Edinburgh, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Zurich (Day 10 - 13).\n       |- The departure day of Santorini is Day 10. The arrival day of Zurich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Porto, Edinburgh, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 13 - 15).\n         |- The departure day of Zurich is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Edinburgh, Venice, Santorini, Zurich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Zurich to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Porto, Edinburgh, Venice, Santorini, Zurich, Warsaw].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Warsaw to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Porto, Edinburgh, Venice, Santorini, Zurich, Warsaw, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Warsaw.\n**Day 13-15:** Visit Warsaw for 3 days.\n**Day 15:** Fly from Warsaw to Vilnius.\n**Day 15-19:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Frankfurt**Amsterdam**Reykjavik**Milan**Split**Hamburg",
    "ground_truth_durations": "5**2**2**4**5**2**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Frankfurt",
        "Amsterdam"
      ],
      [
        "Frankfurt",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You plan to visit relatives in Amsterdam between day 6 and day 7. You want to spend 5 days in Brussels. You plan to stay in Milan for 5 days. You would like to visit Reykjavik for 4 days. You plan to stay in Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 5 and day 6. You would like to visit Split for 2 days. You are going to attend a wedding in Split between day 14 and day 15. You want to spend 4 days in Hamburg.\n\nHere are the cities that have direct flights:\nReykjavik and Milan, Frankfurt and Amsterdam, Frankfurt and Reykjavik, Amsterdam and Milan, Amsterdam and Split, Frankfurt and Milan, Amsterdam and Hamburg, Frankfurt and Hamburg, Frankfurt and Split, from Brussels to Frankfurt, Split and Hamburg, Brussels and Reykjavik, Milan and Hamburg, Brussels and Hamburg, Milan and Split, Amsterdam and Reykjavik, Brussels and Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. You plan to visit relatives in Amsterdam between day 6 and day 7. You want to spend 5 days in Brussels. You plan to stay in Milan for 5 days. You would like to visit Reykjavik for 4 days. You plan to stay in Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 5 and day 6. You would like to visit Split for 2 days. You are going to attend a wedding in Split between day 14 and day 15. You want to spend 4 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Milan, from Frankfurt to Amsterdam, from Frankfurt to Reykjavik, from Amsterdam to Milan, from Amsterdam to Split, from Frankfurt to Milan, from Amsterdam to Hamburg, from Frankfurt to Hamburg, from Frankfurt to Split, from Brussels to Frankfurt, from Split to Hamburg, from Brussels to Reykjavik, from Milan to Hamburg, from Brussels to Hamburg, from Milan to Split, from Amsterdam to Reykjavik, from Brussels to Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Reykjavik.\n**Day 7-10:** Visit Reykjavik for 4 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Split.\n**Day 14-15:** Visit Split for 2 days.\n**Day 15:** Fly from Split to Hamburg.\n**Day 15-18:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_922",
    "estimated_output_tokens": 2268,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Brussels, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 5 - 6.\n* City: Amsterdam, Fixed Schedule: Day 6 - 7.\n* City: Split, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Brussels, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Milan, Reykjavik, Hamburg] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 5 - 6).\n |- The departure day of Brussels is Day 5. The arrival day of Frankfurt is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Brussels to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 6 - 7).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Amsterdam is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 14 - 15).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Split is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Frankfurt, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik, Hamburg] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Amsterdam to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 14 - 15).\n       |- The departure day of Milan is Day 11. The arrival day of Split is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Frankfurt, Amsterdam, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Milan to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Milan to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 14 - 15).\n         |- The departure day of Hamburg is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Frankfurt, Amsterdam, Milan, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n           |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Hamburg to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 14 - 15).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Split is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Frankfurt, Amsterdam, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Hamburg] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 14 - 15).\n         |- The departure day of Milan is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Frankfurt, Amsterdam, Reykjavik, Milan].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n           |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Milan to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Frankfurt, Amsterdam, Reykjavik, Milan, Split].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Split to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Brussels, Frankfurt, Amsterdam, Reykjavik, Milan, Split, Hamburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Frankfurt.\n**Day 5-6:** Visit Frankfurt for 2 days.\n**Day 6:** Fly from Frankfurt to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Reykjavik.\n**Day 7-10:** Visit Reykjavik for 4 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Split.\n**Day 14-15:** Visit Split for 2 days.\n**Day 15:** Fly from Split to Hamburg.\n**Day 15-18:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Barcelona**Istanbul**Geneva**Mykonos**Vienna**Stuttgart",
    "ground_truth_durations": "4**2**4**3**4**2**5",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Geneva",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You want to spend 4 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 1 and day 4. You plan to stay in Stuttgart for 5 days. You plan to stay in Vienna for 2 days. You would like to visit Mykonos for 4 days. You plan to stay in Barcelona for 2 days. From day 4 to day 5, there is a annual show you want to attend in Barcelona. You want to spend 3 days in Geneva. You would like to meet your friends at Geneva between day 8 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nBarcelona and Vienna, Amsterdam and Barcelona, Vienna and Stuttgart, Istanbul and Geneva, Istanbul and Vienna, Istanbul and Stuttgart, Barcelona and Stuttgart, Amsterdam and Mykonos, Barcelona and Geneva, Amsterdam and Istanbul, Amsterdam and Stuttgart, Amsterdam and Geneva, Barcelona and Istanbul, Amsterdam and Vienna, Geneva and Mykonos, Mykonos and Vienna, Geneva and Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Istanbul. You want to spend 4 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 1 and day 4. You plan to stay in Stuttgart for 5 days. You plan to stay in Vienna for 2 days. You would like to visit Mykonos for 4 days. You plan to stay in Barcelona for 2 days. From day 4 to day 5, there is a annual show you want to attend in Barcelona. You want to spend 3 days in Geneva. You would like to meet your friends at Geneva between day 8 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Vienna, from Amsterdam to Barcelona, from Vienna to Stuttgart, from Istanbul to Geneva, from Istanbul to Vienna, from Istanbul to Stuttgart, from Barcelona to Stuttgart, from Amsterdam to Mykonos, from Barcelona to Geneva, from Amsterdam to Istanbul, from Amsterdam to Stuttgart, from Amsterdam to Geneva, from Barcelona to Istanbul, from Amsterdam to Vienna, from Geneva to Mykonos, from Mykonos to Vienna, from Geneva to Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.\n**Day 13:** Fly from Mykonos to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_923",
    "estimated_output_tokens": 2209,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 4 - 5).\n |- The departure day of Amsterdam is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 8 - 10).\n   |- The departure day of Barcelona is Day 5. The arrival day of Geneva is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Stuttgart, Vienna, Mykonos] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Barcelona to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 8 - 10).\n     |- The departure day of Istanbul is Day 8. The arrival day of Geneva is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Barcelona, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Istanbul to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna, Mykonos] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Geneva to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Geneva to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva, Vienna].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Vienna to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva, Vienna, Stuttgart].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Stuttgart to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Vienna to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Geneva to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva, Mykonos].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Mykonos to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Mykonos to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva, Mykonos, Vienna].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Vienna to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Amsterdam, Barcelona, Istanbul, Geneva, Mykonos, Vienna, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Mykonos.\n**Day 10-13:** Visit Mykonos for 4 days.\n**Day 13:** Fly from Mykonos to Vienna.\n**Day 13-14:** Visit Vienna for 2 days.\n**Day 14:** Fly from Vienna to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Valencia**Dublin**Brussels**Venice**London**Florence",
    "ground_truth_durations": "2**2**3**2**4**4**4",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Florence"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Dublin",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 6 and day 9 to tour together. You plan to stay in Florence for 4 days. You plan to stay in Brussels for 2 days. From day 5 to day 6, there is a annual show you want to attend in Brussels. You plan to stay in Dublin for 3 days. You plan to stay in Valencia for 2 days. You want to spend 4 days in London. You are going to attend a wedding in London between day 9 and day 12. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Florence, Brussels and Venice, Brussels and London, Valencia and London, Stuttgart and Venice, Brussels and Florence, Valencia and Brussels, Valencia and Dublin, Dublin and Venice, Stuttgart and Valencia, Stuttgart and London, Venice and London, Dublin and Brussels, Dublin and London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 6 and day 9 to tour together. You plan to stay in Florence for 4 days. You plan to stay in Brussels for 2 days. From day 5 to day 6, there is a annual show you want to attend in Brussels. You plan to stay in Dublin for 3 days. You plan to stay in Valencia for 2 days. You want to spend 4 days in London. You are going to attend a wedding in London between day 9 and day 12. You would like to visit Stuttgart for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Florence, from Brussels to Venice, from Brussels to London, from Valencia to London, from Stuttgart to Venice, from Brussels to Florence, from Valencia to Brussels, from Valencia to Dublin, from Dublin to Venice, from Stuttgart to Valencia, from Stuttgart to London, from Venice to London, from Dublin to Brussels, from Dublin to London.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Brussels.\n**Day 5-6:** Visit Brussels for 2 days.\n**Day 6:** Fly from Brussels to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Florence.\n**Day 12-15:** Visit Florence for 4 days.",
    "id": "trip_planning_example_924",
    "estimated_output_tokens": 3120,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Florence, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Dublin, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 5 - 6.\n* City: Venice, Fixed Schedule: Day 6 - 9.\n* City: London, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Dublin, Valencia, Stuttgart] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 6).\n |- The departure day of Florence is Day 4. The arrival day of Brussels is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Valencia, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Brussels is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Valencia, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 6).\n |- The departure day of Valencia is Day 2. The arrival day of Brussels is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Dublin, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 5 - 6).\n   |- The departure day of Dublin is Day 4. The arrival day of Brussels is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Dublin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Dublin to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dublin to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 6).\n |- The departure day of Stuttgart is Day 2. The arrival day of Brussels is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Dublin, Valencia] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 5 - 6).\n   |- The departure day of Valencia is Day 3. The arrival day of Brussels is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stuttgart, Valencia].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Dublin] and explore these options in order.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Valencia to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Valencia to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 5 - 6).\n     |- The departure day of Dublin is Day 5. The arrival day of Brussels is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stuttgart, Valencia, Dublin].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Dublin to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 9).\n       |- The departure day of Brussels is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Stuttgart, Valencia, Dublin, Brussels].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Brussels to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 9 - 12).\n         |- The departure day of Venice is Day 9. The arrival day of London is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Stuttgart, Valencia, Dublin, Brussels, Venice].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: London.\n           |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Venice to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Stuttgart, Valencia, Dublin, Brussels, Venice, London].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from London to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Stuttgart, Valencia, Dublin, Brussels, Venice, London, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Valencia.\n**Day 2-3:** Visit Valencia for 2 days.\n**Day 3:** Fly from Valencia to Dublin.\n**Day 3-5:** Visit Dublin for 3 days.\n**Day 5:** Fly from Dublin to Brussels.\n**Day 5-6:** Visit Brussels for 2 days.\n**Day 6:** Fly from Brussels to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Florence.\n**Day 12-15:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Krakow**Vilnius**Split**Helsinki**Venice**Nice",
    "ground_truth_durations": "5**5**5**5**5**2**3",
    "num_cities": 7,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Krakow",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You plan to stay in Krakow for 5 days. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 13 and day 17. You plan to stay in Nice for 3 days. You are going to attend a wedding in Nice between day 22 and day 24. You plan to stay in Helsinki for 5 days. You would like to visit Venice for 2 days. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nKrakow and Split, Split and Helsinki, Venice and Nice, Helsinki and Nice, Vilnius and Helsinki, Valencia and Krakow, from Krakow to Vilnius, Vilnius and Split, Helsinki and Venice, Krakow and Helsinki.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You plan to stay in Krakow for 5 days. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 13 and day 17. You plan to stay in Nice for 3 days. You are going to attend a wedding in Nice between day 22 and day 24. You plan to stay in Helsinki for 5 days. You would like to visit Venice for 2 days. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Split to Helsinki, from Venice to Nice, from Helsinki to Nice, from Vilnius to Helsinki, from Valencia to Krakow, from Krakow to Vilnius, from Vilnius to Split, from Helsinki to Venice, from Krakow to Helsinki.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 24 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-17:** Visit Split for 5 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Venice.\n**Day 21-22:** Visit Venice for 2 days.\n**Day 22:** Fly from Venice to Nice.\n**Day 22-24:** Visit Nice for 3 days.",
    "id": "trip_planning_example_925",
    "estimated_output_tokens": 5419,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Helsinki, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 13 - 17.\n* City: Nice, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Helsinki, Venice, Valencia] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 17).\n |- The departure day of Vilnius is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Helsinki, Venice, Valencia] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n   |- The departure day of Helsinki is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vilnius, Helsinki].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Valencia] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Helsinki to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 17).\n     |- The departure day of Venice is Day 10. The arrival day of Split is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Helsinki, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 17).\n |- The departure day of Krakow is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Helsinki, Venice, Valencia] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n   |- The departure day of Vilnius is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Venice, Valencia] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 17).\n     |- The departure day of Helsinki is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Krakow, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n       |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Helsinki to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Vilnius to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n   |- The departure day of Helsinki is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Helsinki].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Valencia] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Helsinki to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 17).\n     |- The departure day of Venice is Day 10. The arrival day of Split is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Helsinki, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 17).\n |- The departure day of Helsinki is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Venice, Valencia] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n   |- The departure day of Venice is Day 6. The arrival day of Split is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Valencia] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 17).\n |- The departure day of Venice is Day 2. The arrival day of Split is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Helsinki, Valencia] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 13 - 17).\n |- The departure day of Valencia is Day 5. The arrival day of Split is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Helsinki, Venice] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 13 - 17).\n   |- The departure day of Krakow is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Helsinki, Venice] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 17).\n     |- The departure day of Vilnius is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Valencia, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n       |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Vilnius to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 22 - 24).\n       |- The departure day of Split is Day 17. The arrival day of Nice is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Valencia, Krakow, Vilnius, Split].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Venice] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Split to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Nice (Day 22 - 24).\n         |- The departure day of Helsinki is Day 21. The arrival day of Nice is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Valencia, Krakow, Vilnius, Split, Helsinki].\n          |- Check whether the city with an arrival day of Day 21 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n           |- Check for direct flight from Helsinki to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Nice (Day 22 - 24).\n           |- The departure day of Venice is Day 22. The arrival day of Nice is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Valencia, Krakow, Vilnius, Split, Helsinki, Venice].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Venice to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Valencia, Krakow, Vilnius, Split, Helsinki, Venice, Nice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-17:** Visit Split for 5 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Venice.\n**Day 21-22:** Visit Venice for 2 days.\n**Day 22:** Fly from Venice to Nice.\n**Day 22-24:** Visit Nice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Lisbon**Brussels**Oslo**Milan**Mykonos",
    "ground_truth_durations": "4**4**5**2**3**3**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. You want to meet a friend in Oslo between day 12 and day 14. You plan to stay in Lisbon for 5 days. You would like to visit Milan for 3 days. From day 14 to day 16, there is a annual show you want to attend in Milan. You would like to visit Salzburg for 4 days. You would like to visit Brussels for 2 days. You plan to stay in Mykonos for 5 days. During day 16 and day 20, you have to attend a conference in Mykonos. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nLisbon and Oslo, Lisbon and Brussels, from Brussels to Frankfurt, Frankfurt and Milan, Brussels and Oslo, Brussels and Milan, Lisbon and Milan, Oslo and Milan, Frankfurt and Oslo, Salzburg and Frankfurt, Milan and Mykonos, Frankfurt and Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. You want to meet a friend in Oslo between day 12 and day 14. You plan to stay in Lisbon for 5 days. You would like to visit Milan for 3 days. From day 14 to day 16, there is a annual show you want to attend in Milan. You would like to visit Salzburg for 4 days. You would like to visit Brussels for 2 days. You plan to stay in Mykonos for 5 days. During day 16 and day 20, you have to attend a conference in Mykonos. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Oslo, from Lisbon to Brussels, from Brussels to Frankfurt, from Frankfurt to Milan, from Brussels to Oslo, from Brussels to Milan, from Lisbon to Milan, from Oslo to Milan, from Frankfurt to Oslo, from Salzburg to Frankfurt, from Milan to Mykonos, from Frankfurt to Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Lisbon.\n**Day 7-11:** Visit Lisbon for 5 days.\n**Day 11:** Fly from Lisbon to Brussels.\n**Day 11-12:** Visit Brussels for 2 days.\n**Day 12:** Fly from Brussels to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Milan.\n**Day 14-16:** Visit Milan for 3 days.\n**Day 16:** Fly from Milan to Mykonos.\n**Day 16-20:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_926",
    "estimated_output_tokens": 2678,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Lisbon, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Salzburg, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 12 - 14.\n* City: Milan, Fixed Schedule: Day 14 - 16.\n* City: Mykonos, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Salzburg, Brussels, Frankfurt] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 12 - 14).\n |- The departure day of Lisbon is Day 5. The arrival day of Oslo is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Brussels, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lisbon to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 12 - 14).\n   |- The departure day of Brussels is Day 6. The arrival day of Oslo is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 12 - 14).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Oslo is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Brussels, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Frankfurt to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 12 - 14).\n |- The departure day of Salzburg is Day 4. The arrival day of Oslo is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Brussels, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Salzburg to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 12 - 14).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Oslo is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Brussels] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Frankfurt to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 12 - 14).\n     |- The departure day of Lisbon is Day 11. The arrival day of Oslo is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Salzburg, Frankfurt, Lisbon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Lisbon to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 12 - 14).\n       |- The departure day of Brussels is Day 12. The arrival day of Oslo is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Frankfurt, Lisbon, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Brussels to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 14 - 16).\n         |- The departure day of Oslo is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Frankfurt, Lisbon, Brussels, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Mykonos (Day 16 - 20).\n           |- The departure day of Milan is Day 16. The arrival day of Mykonos is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Salzburg, Frankfurt, Lisbon, Brussels, Oslo, Milan].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Mykonos.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Salzburg, Frankfurt, Lisbon, Brussels, Oslo, Milan, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Lisbon.\n**Day 7-11:** Visit Lisbon for 5 days.\n**Day 11:** Fly from Lisbon to Brussels.\n**Day 11-12:** Visit Brussels for 2 days.\n**Day 12:** Fly from Brussels to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Milan.\n**Day 14-16:** Visit Milan for 3 days.\n**Day 16:** Fly from Milan to Mykonos.\n**Day 16-20:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Budapest**Reykjavik**Copenhagen**Split**Hamburg**Salzburg",
    "ground_truth_durations": "5**4**2**2**4**4**4",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Budapest",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You would like to visit Copenhagen for 2 days. You want to spend 4 days in Hamburg. You would like to visit Vienna for 5 days. During day 1 and day 5, you have to attend a conference in Vienna. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 8 and day 9. You want to spend 4 days in Split. You would like to meet your friends at Split between day 10 and day 13 to tour together. You want to spend 4 days in Salzburg.\n\nHere are the cities that have direct flights:\nHamburg and Salzburg, Copenhagen and Split, Vienna and Copenhagen, Vienna and Split, Reykjavik and Copenhagen, Copenhagen and Hamburg, Budapest and Hamburg, Vienna and Hamburg, Budapest and Reykjavik, Vienna and Reykjavik, Vienna and Budapest, Split and Hamburg, Budapest and Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You would like to visit Copenhagen for 2 days. You want to spend 4 days in Hamburg. You would like to visit Vienna for 5 days. During day 1 and day 5, you have to attend a conference in Vienna. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 8 and day 9. You want to spend 4 days in Split. You would like to meet your friends at Split between day 10 and day 13 to tour together. You want to spend 4 days in Salzburg.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Salzburg, from Copenhagen to Split, from Vienna to Copenhagen, from Vienna to Split, from Reykjavik to Copenhagen, from Copenhagen to Hamburg, from Budapest to Hamburg, from Vienna to Hamburg, from Budapest to Reykjavik, from Vienna to Reykjavik, from Vienna to Budapest, from Split to Hamburg, from Budapest to Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Split.\n**Day 10-13:** Visit Split for 4 days.\n**Day 13:** Fly from Split to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.\n**Day 16:** Fly from Hamburg to Salzburg.\n**Day 16-19:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_927",
    "estimated_output_tokens": 1734,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Salzburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Fixed Schedule: Day 8 - 9.\n* City: Split, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Budapest, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 9).\n |- The departure day of Vienna is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Copenhagen, Hamburg, Salzburg] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 9).\n   |- The departure day of Budapest is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Budapest to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 10 - 13).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Split is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vienna, Budapest, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg, Salzburg] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Reykjavik to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 10 - 13).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Budapest, Reykjavik, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n         |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Copenhagen to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Budapest, Reykjavik, Copenhagen, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Split to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Vienna, Budapest, Reykjavik, Copenhagen, Split, Hamburg].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Hamburg to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vienna, Budapest, Reykjavik, Copenhagen, Split, Hamburg, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Split.\n**Day 10-13:** Visit Split for 4 days.\n**Day 13:** Fly from Split to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.\n**Day 16:** Fly from Hamburg to Salzburg.\n**Day 16-19:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Stockholm**Istanbul**Copenhagen**Porto**Hamburg**Bucharest",
    "ground_truth_durations": "3**2**2**3**4**3**2",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You want to spend 2 days in Bucharest. You plan to stay in Copenhagen for 3 days. You would like to visit Stockholm for 2 days. You would like to visit Hamburg for 3 days. From day 10 to day 12, there is a annual show you want to attend in Hamburg. You plan to stay in Porto for 4 days. During day 7 and day 10, you have to attend a conference in Porto. You plan to stay in Istanbul for 2 days. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nStockholm and Istanbul, Copenhagen and Porto, Stockholm and Hamburg, Split and Copenhagen, Split and Hamburg, Istanbul and Hamburg, Istanbul and Porto, Istanbul and Copenhagen, Copenhagen and Hamburg, Istanbul and Bucharest, Split and Stockholm, Stockholm and Copenhagen, Porto and Hamburg, Copenhagen and Bucharest, Hamburg and Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You want to spend 2 days in Bucharest. You plan to stay in Copenhagen for 3 days. You would like to visit Stockholm for 2 days. You would like to visit Hamburg for 3 days. From day 10 to day 12, there is a annual show you want to attend in Hamburg. You plan to stay in Porto for 4 days. During day 7 and day 10, you have to attend a conference in Porto. You plan to stay in Istanbul for 2 days. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Istanbul, from Copenhagen to Porto, from Stockholm to Hamburg, from Split to Copenhagen, from Split to Hamburg, from Istanbul to Hamburg, from Istanbul to Porto, from Istanbul to Copenhagen, from Copenhagen to Hamburg, from Istanbul to Bucharest, from Split to Stockholm, from Stockholm to Copenhagen, from Porto to Hamburg, from Copenhagen to Bucharest, from Hamburg to Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Hamburg.\n**Day 10-12:** Visit Hamburg for 3 days.\n**Day 12:** Fly from Hamburg to Bucharest.\n**Day 12-13:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_928",
    "estimated_output_tokens": 2125,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 4 - 5.\n* City: Porto, Fixed Schedule: Day 7 - 10.\n* City: Hamburg, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Bucharest, Copenhagen, Stockholm] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Split is Day 3. The arrival day of Istanbul is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 4 - 5).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Istanbul is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 4 - 5).\n   |- The departure day of Stockholm is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stockholm to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 7 - 10).\n     |- The departure day of Istanbul is Day 5. The arrival day of Porto is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Split, Stockholm, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Istanbul to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 7 - 10).\n       |- The departure day of Bucharest is Day 6. The arrival day of Porto is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Split, Stockholm, Istanbul, Bucharest].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Bucharest to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Istanbul to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 7 - 10).\n       |- The departure day of Copenhagen is Day 7. The arrival day of Porto is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Split, Stockholm, Istanbul, Copenhagen].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Copenhagen to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 10 - 12).\n         |- The departure day of Porto is Day 10. The arrival day of Hamburg is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Split, Stockholm, Istanbul, Copenhagen, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Porto to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Split, Stockholm, Istanbul, Copenhagen, Porto, Hamburg].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Hamburg to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Split, Stockholm, Istanbul, Copenhagen, Porto, Hamburg, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Hamburg.\n**Day 10-12:** Visit Hamburg for 3 days.\n**Day 12:** Fly from Hamburg to Bucharest.\n**Day 12-13:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Frankfurt**Stuttgart**Krakow**Brussels**Riga**Istanbul",
    "ground_truth_durations": "3**4**2**4**2**3**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Riga",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 2 days. From day 6 to day 7, there is a annual show you want to attend in Stuttgart. You want to spend 4 days in Frankfurt. You would like to visit Riga for 3 days. You plan to stay in Krakow for 4 days. You plan to stay in Brussels for 2 days. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 13 and day 17. You would like to visit Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nKrakow and Istanbul, from Istanbul to Tallinn, from Riga to Tallinn, Frankfurt and Stuttgart, Stuttgart and Istanbul, Tallinn and Brussels, Stuttgart and Krakow, Brussels and Istanbul, Brussels and Riga, Frankfurt and Riga, Tallinn and Frankfurt, Krakow and Brussels, from Brussels to Frankfurt, Frankfurt and Istanbul, Frankfurt and Krakow, Riga and Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 2 days. From day 6 to day 7, there is a annual show you want to attend in Stuttgart. You want to spend 4 days in Frankfurt. You would like to visit Riga for 3 days. You plan to stay in Krakow for 4 days. You plan to stay in Brussels for 2 days. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 13 and day 17. You would like to visit Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Istanbul, from Istanbul to Tallinn, from Riga to Tallinn, from Frankfurt to Stuttgart, from Stuttgart to Istanbul, from Tallinn to Brussels, from Stuttgart to Krakow, from Brussels to Istanbul, from Brussels to Riga, from Frankfurt to Riga, from Tallinn to Frankfurt, from Krakow to Brussels, from Brussels to Frankfurt, from Frankfurt to Istanbul, from Frankfurt to Krakow, from Riga to Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Frankfurt.\n**Day 3-6:** Visit Frankfurt for 4 days.\n**Day 6:** Fly from Frankfurt to Stuttgart.\n**Day 6-7:** Visit Stuttgart for 2 days.\n**Day 7:** Fly from Stuttgart to Krakow.\n**Day 7-10:** Visit Krakow for 4 days.\n**Day 10:** Fly from Krakow to Brussels.\n**Day 10-11:** Visit Brussels for 2 days.\n**Day 11:** Fly from Brussels to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Istanbul.\n**Day 13-17:** Visit Istanbul for 5 days.",
    "id": "trip_planning_example_929",
    "estimated_output_tokens": 5745,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Frankfurt, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 6 - 7.\n* City: Istanbul, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Riga, Krakow, Brussels, Tallinn] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 7).\n |- The departure day of Frankfurt is Day 4. The arrival day of Stuttgart is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Krakow, Brussels, Tallinn] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 7).\n   |- The departure day of Riga is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Riga to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 7).\n   |- The departure day of Krakow is Day 7. The arrival day of Stuttgart is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Frankfurt to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 7).\n |- The departure day of Riga is Day 3. The arrival day of Stuttgart is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Krakow, Brussels, Tallinn] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 6 - 7).\n   |- The departure day of Tallinn is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Krakow, Brussels] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Stuttgart is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Brussels is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Riga, Tallinn, Brussels].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Brussels to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 7).\n |- The departure day of Krakow is Day 4. The arrival day of Stuttgart is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga, Brussels, Tallinn] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Krakow to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 7).\n   |- The departure day of Brussels is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Brussels].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga, Tallinn] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Brussels to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Stuttgart is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Brussels to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Riga is Day 7. The arrival day of Stuttgart is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Brussels to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 7).\n |- The departure day of Brussels is Day 2. The arrival day of Stuttgart is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga, Krakow, Tallinn] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 6 - 7).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Krakow, Tallinn] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Frankfurt to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Riga is Day 7. The arrival day of Stuttgart is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 7).\n     |- The departure day of Krakow is Day 8. The arrival day of Stuttgart is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Frankfurt to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 6 - 7).\n   |- The departure day of Riga is Day 4. The arrival day of Stuttgart is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Krakow, Tallinn] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Riga to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Riga to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 7).\n     |- The departure day of Tallinn is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Brussels, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Tallinn to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 7).\n |- The departure day of Tallinn is Day 3. The arrival day of Stuttgart is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga, Krakow, Brussels] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 6 - 7).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 17).\n     |- The departure day of Stuttgart is Day 7. The arrival day of Istanbul is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Frankfurt, Stuttgart].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Krakow, Brussels] and explore these options in order.\n       |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stuttgart to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Stuttgart to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 13 - 17).\n       |- The departure day of Krakow is Day 10. The arrival day of Istanbul is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Frankfurt, Stuttgart, Krakow].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Brussels] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Krakow to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Krakow to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 13 - 17).\n         |- The departure day of Brussels is Day 11. The arrival day of Istanbul is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Tallinn, Frankfurt, Stuttgart, Krakow, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Brussels to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 13 - 17).\n           |- The departure day of Riga is Day 13. The arrival day of Istanbul is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Frankfurt, Stuttgart, Krakow, Brussels, Riga].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Riga to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Frankfurt, Stuttgart, Krakow, Brussels, Riga, Istanbul].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Frankfurt.\n**Day 3-6:** Visit Frankfurt for 4 days.\n**Day 6:** Fly from Frankfurt to Stuttgart.\n**Day 6-7:** Visit Stuttgart for 2 days.\n**Day 7:** Fly from Stuttgart to Krakow.\n**Day 7-10:** Visit Krakow for 4 days.\n**Day 10:** Fly from Krakow to Brussels.\n**Day 10-11:** Visit Brussels for 2 days.\n**Day 11:** Fly from Brussels to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Istanbul.\n**Day 13-17:** Visit Istanbul for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Lisbon**Prague**Munich**Nice**Berlin**Vilnius",
    "ground_truth_durations": "3**5**5**3**3**2**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Lisbon",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You plan to stay in Munich for 3 days. You plan to stay in Berlin for 2 days. You would like to meet your friends at Berlin between day 15 and day 16 to tour together. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Nice. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 1 and day 3. You want to spend 5 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Munich and Nice, Stuttgart and Berlin, Munich and Berlin, Stuttgart and Lisbon, Lisbon and Prague, Berlin and Vilnius, Prague and Munich, Lisbon and Munich, Lisbon and Nice, Nice and Berlin, Lisbon and Berlin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You plan to stay in Munich for 3 days. You plan to stay in Berlin for 2 days. You would like to meet your friends at Berlin between day 15 and day 16 to tour together. You plan to stay in Vilnius for 5 days. You want to spend 3 days in Nice. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 1 and day 3. You want to spend 5 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Munich to Nice, from Stuttgart to Berlin, from Munich to Berlin, from Stuttgart to Lisbon, from Lisbon to Prague, from Berlin to Vilnius, from Prague to Munich, from Lisbon to Munich, from Lisbon to Nice, from Nice to Berlin, from Lisbon to Berlin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Munich.\n**Day 11-13:** Visit Munich for 3 days.\n**Day 13:** Fly from Munich to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_930",
    "estimated_output_tokens": 1962,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Vilnius, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 3.\n* City: Berlin, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Lisbon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 15 - 16).\n |- The departure day of Stuttgart is Day 3. The arrival day of Berlin is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Munich, Vilnius, Nice, Lisbon] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 15 - 16).\n   |- The departure day of Lisbon is Day 7. The arrival day of Berlin is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Munich, Vilnius, Nice] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 15 - 16).\n     |- The departure day of Prague is Day 11. The arrival day of Berlin is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Lisbon, Prague].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Vilnius, Nice] and explore these options in order.\n       |- Try arranging to visit Munich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Prague to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 15 - 16).\n       |- The departure day of Munich is Day 13. The arrival day of Berlin is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Lisbon, Prague, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Nice] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Munich to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Munich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Berlin (Day 15 - 16).\n         |- The departure day of Nice is Day 15. The arrival day of Berlin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stuttgart, Lisbon, Prague, Munich, Nice].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Nice to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Stuttgart, Lisbon, Prague, Munich, Nice, Berlin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Berlin to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stuttgart, Lisbon, Prague, Munich, Nice, Berlin, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Munich.\n**Day 11-13:** Visit Munich for 3 days.\n**Day 13:** Fly from Munich to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Copenhagen**London**Milan**Seville**Paris**Oslo",
    "ground_truth_durations": "5**3**3**2**2**3**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Paris"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Paris"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Milan",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You are going to attend a wedding in Seville between day 10 and day 11. You want to spend 2 days in Milan. You plan to stay in London for 3 days. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 11 and day 13. You want to spend 5 days in Oslo. From day 13 to day 17, there is a annual show you want to attend in Oslo. You plan to stay in Copenhagen for 3 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nLondon and Paris, Seville and Paris, Copenhagen and Milan, Milan and Oslo, Copenhagen and London, Milan and Paris, Tallinn and Copenhagen, London and Oslo, Copenhagen and Paris, Tallinn and Oslo, Paris and Oslo, Tallinn and Paris, Copenhagen and Oslo, London and Milan, Milan and Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You are going to attend a wedding in Seville between day 10 and day 11. You want to spend 2 days in Milan. You plan to stay in London for 3 days. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 11 and day 13. You want to spend 5 days in Oslo. From day 13 to day 17, there is a annual show you want to attend in Oslo. You plan to stay in Copenhagen for 3 days. You want to spend 5 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom London to Paris, from Seville to Paris, from Copenhagen to Milan, from Milan to Oslo, from Copenhagen to London, from Milan to Paris, from Tallinn to Copenhagen, from London to Oslo, from Copenhagen to Paris, from Tallinn to Oslo, from Paris to Oslo, from Tallinn to Paris, from Copenhagen to Oslo, from London to Milan, from Milan to Seville.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Paris.\n**Day 11-13:** Visit Paris for 3 days.\n**Day 13:** Fly from Paris to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_931",
    "estimated_output_tokens": 4153,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Milan, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Copenhagen, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 10 - 11.\n* City: Paris, Fixed Schedule: Day 11 - 13.\n* City: Oslo, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, London, Copenhagen, Tallinn] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 10 - 11).\n |- The departure day of Milan is Day 2. The arrival day of Seville is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Copenhagen, Tallinn] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 10 - 11).\n |- The departure day of London is Day 3. The arrival day of Seville is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Copenhagen, Tallinn] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 10 - 11).\n   |- The departure day of Milan is Day 4. The arrival day of Seville is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 10 - 11).\n |- The departure day of Copenhagen is Day 3. The arrival day of Seville is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, London, Tallinn] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Copenhagen to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 10 - 11).\n   |- The departure day of Milan is Day 4. The arrival day of Seville is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Copenhagen, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Tallinn] and explore these options in order.\n     |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 10 - 11).\n   |- The departure day of London is Day 5. The arrival day of Seville is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from London to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 10 - 11).\n     |- The departure day of Milan is Day 6. The arrival day of Seville is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Copenhagen, London, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 10 - 11).\n |- The departure day of Tallinn is Day 5. The arrival day of Seville is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, London, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Tallinn to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 10 - 11).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Seville is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Tallinn, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, London] and explore these options in order.\n     |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 10 - 11).\n     |- The departure day of Milan is Day 8. The arrival day of Seville is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Copenhagen, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Milan to London.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Copenhagen to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 10 - 11).\n     |- The departure day of London is Day 9. The arrival day of Seville is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Tallinn, Copenhagen, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n       |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from London to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 10 - 11).\n       |- The departure day of Milan is Day 10. The arrival day of Seville is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Copenhagen, London, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Milan to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 11 - 13).\n         |- The departure day of Seville is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Tallinn, Copenhagen, London, Milan, Seville].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n           |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Seville to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 13 - 17).\n           |- The departure day of Paris is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Copenhagen, London, Milan, Seville, Paris].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Paris to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Copenhagen, London, Milan, Seville, Paris, Oslo].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Paris.\n**Day 11-13:** Visit Paris for 3 days.\n**Day 13:** Fly from Paris to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Amsterdam**Seville**Porto**Hamburg**Zurich**Naples",
    "ground_truth_durations": "2**4**3**4**2**2**5",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Naples"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Venice",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 5 and day 7. You would like to visit Naples for 5 days. You would like to visit Hamburg for 2 days. You want to spend 4 days in Amsterdam. You plan to stay in Porto for 4 days. You plan to stay in Venice for 2 days. You would like to meet your friends at Venice between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nVenice and Naples, Porto and Zurich, Seville and Porto, Hamburg and Zurich, Venice and Zurich, Amsterdam and Hamburg, Amsterdam and Porto, Venice and Amsterdam, Zurich and Naples, Amsterdam and Seville, Porto and Hamburg, Amsterdam and Naples, Amsterdam and Zurich, Venice and Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 5 and day 7. You would like to visit Naples for 5 days. You would like to visit Hamburg for 2 days. You want to spend 4 days in Amsterdam. You plan to stay in Porto for 4 days. You plan to stay in Venice for 2 days. You would like to meet your friends at Venice between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nfrom Venice to Naples, from Porto to Zurich, from Seville to Porto, from Hamburg to Zurich, from Venice to Zurich, from Amsterdam to Hamburg, from Amsterdam to Porto, from Venice to Amsterdam, from Zurich to Naples, from Amsterdam to Seville, from Porto to Hamburg, from Amsterdam to Naples, from Amsterdam to Zurich, from Venice to Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Seville.\n**Day 5-7:** Visit Seville for 3 days.\n**Day 7:** Fly from Seville to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Naples.\n**Day 12-16:** Visit Naples for 5 days.",
    "id": "trip_planning_example_932",
    "estimated_output_tokens": 3607,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 2 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Naples, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 2.\n* City: Seville, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Zurich, Duration: 2 days.\n* City: Naples, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 5 - 7).\n |- The departure day of Venice is Day 2. The arrival day of Seville is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Naples, Hamburg, Amsterdam, Porto] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 5 - 7).\n   |- The departure day of Zurich is Day 3. The arrival day of Seville is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Venice, Zurich].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Hamburg, Amsterdam, Porto] and explore these options in order.\n     |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Zurich to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 5 - 7).\n     |- The departure day of Naples is Day 7. The arrival day of Seville is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Zurich to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Zurich to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Zurich to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 5 - 7).\n   |- The departure day of Naples is Day 6. The arrival day of Seville is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 5 - 7).\n   |- The departure day of Hamburg is Day 3. The arrival day of Seville is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Venice, Hamburg].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Naples, Amsterdam, Porto] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Hamburg to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 5 - 7).\n     |- The departure day of Zurich is Day 4. The arrival day of Seville is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Venice, Hamburg, Zurich].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Amsterdam, Porto] and explore these options in order.\n       |- Try arranging to visit Naples from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Zurich to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 5 - 7).\n       |- The departure day of Naples is Day 8. The arrival day of Seville is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Zurich to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Zurich to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Hamburg to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Hamburg to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Hamburg to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 5 - 7).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Seville is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Amsterdam to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Amsterdam, Seville].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Naples, Hamburg, Porto] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Seville to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Seville to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Seville to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Seville to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Venice, Amsterdam, Seville, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Naples, Hamburg] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Porto to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Amsterdam, Seville, Porto, Zurich].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Hamburg] and explore these options in order.\n           |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Zurich to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Amsterdam, Seville, Porto, Zurich, Naples].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Naples to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Zurich to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Porto to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Amsterdam, Seville, Porto, Hamburg].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Naples] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Hamburg to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Venice, Amsterdam, Seville, Porto, Hamburg, Zurich].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Zurich to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Venice, Amsterdam, Seville, Porto, Hamburg, Zurich, Naples].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Seville.\n**Day 5-7:** Visit Seville for 3 days.\n**Day 7:** Fly from Seville to Porto.\n**Day 7-10:** Visit Porto for 4 days.\n**Day 10:** Fly from Porto to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Oslo**Tallinn**Vilnius**Vienna**Hamburg**Split",
    "ground_truth_durations": "3**4**3**5**4**2**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Dublin",
        "Vienna"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Oslo",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. During day 16 and day 17, you have to attend a conference in Split. You would like to visit Oslo for 4 days. From day 3 to day 6, there is a annual show you want to attend in Oslo. You want to spend 3 days in Tallinn. You want to spend 2 days in Hamburg. You would like to visit Vilnius for 5 days. You would like to visit Dublin for 3 days. You plan to visit relatives in Dublin between day 1 and day 3. You would like to visit Vienna for 4 days.\n\nHere are the cities that have direct flights:\nDublin and Hamburg, Dublin and Vienna, Dublin and Tallinn, Oslo and Vienna, Vilnius and Split, Vilnius and Vienna, Hamburg and Split, Oslo and Vilnius, Dublin and Oslo, Dublin and Split, Oslo and Split, Vienna and Split, Oslo and Hamburg, Vienna and Hamburg, from Tallinn to Vilnius, Oslo and Tallinn.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. During day 16 and day 17, you have to attend a conference in Split. You would like to visit Oslo for 4 days. From day 3 to day 6, there is a annual show you want to attend in Oslo. You want to spend 3 days in Tallinn. You want to spend 2 days in Hamburg. You would like to visit Vilnius for 5 days. You would like to visit Dublin for 3 days. You plan to visit relatives in Dublin between day 1 and day 3. You would like to visit Vienna for 4 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Hamburg, from Dublin to Vienna, from Dublin to Tallinn, from Oslo to Vienna, from Vilnius to Split, from Vilnius to Vienna, from Hamburg to Split, from Oslo to Vilnius, from Dublin to Oslo, from Dublin to Split, from Oslo to Split, from Vienna to Split, from Oslo to Hamburg, from Vienna to Hamburg, from Tallinn to Vilnius, from Oslo to Tallinn.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-15:** Visit Vienna for 4 days.\n**Day 15:** Fly from Vienna to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Split.\n**Day 16-17:** Visit Split for 2 days.",
    "id": "trip_planning_example_933",
    "estimated_output_tokens": 1878,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 3 - 6.\n* City: Split, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 16 - 17).\n   |- The departure day of Oslo is Day 6. The arrival day of Split is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg, Vilnius, Vienna] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 16 - 17).\n     |- The departure day of Tallinn is Day 8. The arrival day of Split is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Oslo, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius, Vienna] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 17).\n       |- The departure day of Vilnius is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dublin, Oslo, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Vienna] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vilnius to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Vilnius to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 16 - 17).\n         |- The departure day of Vienna is Day 15. The arrival day of Split is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Dublin, Oslo, Tallinn, Vilnius, Vienna].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 16 - 17).\n           |- The departure day of Hamburg is Day 16. The arrival day of Split is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dublin, Oslo, Tallinn, Vilnius, Vienna, Hamburg].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Split.\n             |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Hamburg to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dublin, Oslo, Tallinn, Vilnius, Vienna, Hamburg, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-15:** Visit Vienna for 4 days.\n**Day 15:** Fly from Vienna to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Split.\n**Day 16-17:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Rome**Riga**Brussels**Valencia**Geneva**Budapest",
    "ground_truth_durations": "3**2**4**5**2**5**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. You have to attend a workshop in Brussels between day 7 and day 11. You would like to visit Rome for 2 days. You want to spend 3 days in Dubrovnik. You would like to visit Geneva for 5 days. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 16 and day 17. You plan to stay in Riga for 4 days. You would like to meet your friends at Riga between day 4 and day 7 to tour together. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nBrussels and Valencia, Rome and Valencia, Brussels and Geneva, Rome and Geneva, Dubrovnik and Geneva, Valencia and Geneva, from Rome to Riga, Geneva and Budapest, Riga and Brussels, Rome and Budapest, Rome and Brussels, Brussels and Budapest, Dubrovnik and Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. You have to attend a workshop in Brussels between day 7 and day 11. You would like to visit Rome for 2 days. You want to spend 3 days in Dubrovnik. You would like to visit Geneva for 5 days. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 16 and day 17. You plan to stay in Riga for 4 days. You would like to meet your friends at Riga between day 4 and day 7 to tour together. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Valencia, from Rome to Valencia, from Brussels to Geneva, from Rome to Geneva, from Dubrovnik to Geneva, from Valencia to Geneva, from Rome to Riga, from Geneva to Budapest, from Riga to Brussels, from Rome to Budapest, from Rome to Brussels, from Brussels to Budapest, from Dubrovnik to Rome.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Brussels.\n**Day 7-11:** Visit Brussels for 5 days.\n**Day 11:** Fly from Brussels to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Budapest.\n**Day 16-17:** Visit Budapest for 2 days.",
    "id": "trip_planning_example_934",
    "estimated_output_tokens": 2790,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Rome, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 4 - 7.\n* City: Brussels, Fixed Schedule: Day 7 - 11.\n* City: Budapest, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Rome, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Dubrovnik, Geneva, Valencia] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 7).\n |- The departure day of Rome is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Valencia] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 7).\n   |- The departure day of Geneva is Day 6. The arrival day of Riga is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Rome to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 7).\n   |- The departure day of Valencia is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Rome, Valencia].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Valencia to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 7).\n     |- The departure day of Geneva is Day 7. The arrival day of Riga is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 7).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Geneva, Valencia] and explore these options in order.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 7).\n   |- The departure day of Rome is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dubrovnik, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 7 - 11).\n     |- The departure day of Riga is Day 7. The arrival day of Brussels is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Rome, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 16 - 17).\n       |- The departure day of Brussels is Day 11. The arrival day of Budapest is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Rome, Riga, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Brussels to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 16 - 17).\n         |- The departure day of Geneva is Day 15. The arrival day of Budapest is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Dubrovnik, Rome, Riga, Brussels, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Geneva to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Brussels to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 16 - 17).\n         |- The departure day of Valencia is Day 12. The arrival day of Budapest is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Dubrovnik, Rome, Riga, Brussels, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Valencia to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 16 - 17).\n           |- The departure day of Geneva is Day 16. The arrival day of Budapest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Rome, Riga, Brussels, Valencia, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Geneva to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Rome, Riga, Brussels, Valencia, Geneva, Budapest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Brussels.\n**Day 7-11:** Visit Brussels for 5 days.\n**Day 11:** Fly from Brussels to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Budapest.\n**Day 16-17:** Visit Budapest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Rome**Split**Zurich**Nice**Brussels**Tallinn",
    "ground_truth_durations": "5**5**4**3**3**3**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Nice",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. You want to spend 4 days in Split. You would like to visit Tallinn for 2 days. You have to attend a workshop in Tallinn between day 18 and day 19. You plan to stay in Rome for 5 days. You would like to meet your friends at Rome between day 5 and day 9 to tour together. You want to spend 5 days in Vienna. From day 1 to day 5, there is a annual show you want to attend in Vienna. You want to spend 3 days in Nice. You want to spend 3 days in Brussels.\n\nHere are the cities that have direct flights:\nZurich and Brussels, Vienna and Brussels, Split and Zurich, Vienna and Rome, Rome and Brussels, Vienna and Nice, Zurich and Tallinn, Zurich and Nice, Vienna and Zurich, Rome and Zurich, Rome and Nice, Vienna and Split, Brussels and Tallinn, Rome and Split, Nice and Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. You want to spend 4 days in Split. You would like to visit Tallinn for 2 days. You have to attend a workshop in Tallinn between day 18 and day 19. You plan to stay in Rome for 5 days. You would like to meet your friends at Rome between day 5 and day 9 to tour together. You want to spend 5 days in Vienna. From day 1 to day 5, there is a annual show you want to attend in Vienna. You want to spend 3 days in Nice. You want to spend 3 days in Brussels.\n\nHere are the cities that have direct flights:\nfrom Zurich to Brussels, from Vienna to Brussels, from Split to Zurich, from Vienna to Rome, from Rome to Brussels, from Vienna to Nice, from Zurich to Tallinn, from Zurich to Nice, from Vienna to Zurich, from Rome to Zurich, from Rome to Nice, from Vienna to Split, from Brussels to Tallinn, from Rome to Split, from Nice to Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Split.\n**Day 9-12:** Visit Split for 4 days.\n**Day 12:** Fly from Split to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Nice.\n**Day 14-16:** Visit Nice for 3 days.\n**Day 16:** Fly from Nice to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_935",
    "estimated_output_tokens": 2839,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Nice, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 9.\n* City: Tallinn, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 9).\n |- The departure day of Vienna is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 18 - 19).\n   |- The departure day of Rome is Day 9. The arrival day of Tallinn is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Rome].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Split, Nice, Brussels] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Rome to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 19).\n     |- The departure day of Zurich is Day 11. The arrival day of Tallinn is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vienna, Rome, Zurich].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Nice, Brussels] and explore these options in order.\n       |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Zurich to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Zurich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 18 - 19).\n       |- The departure day of Nice is Day 13. The arrival day of Tallinn is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vienna, Rome, Zurich, Nice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Brussels] and explore these options in order.\n         |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Nice to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 18 - 19).\n         |- The departure day of Brussels is Day 15. The arrival day of Tallinn is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vienna, Rome, Zurich, Nice, Brussels].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Brussels to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Zurich to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 18 - 19).\n       |- The departure day of Brussels is Day 13. The arrival day of Tallinn is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vienna, Rome, Zurich, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Nice] and explore these options in order.\n         |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Brussels to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Rome to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 19).\n     |- The departure day of Split is Day 12. The arrival day of Tallinn is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Rome, Split].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Nice, Brussels] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Split to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 18 - 19).\n       |- The departure day of Zurich is Day 14. The arrival day of Tallinn is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vienna, Rome, Split, Zurich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Brussels] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Zurich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 18 - 19).\n         |- The departure day of Nice is Day 16. The arrival day of Tallinn is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Vienna, Rome, Split, Zurich, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Nice to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 18 - 19).\n           |- The departure day of Brussels is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Vienna, Rome, Split, Zurich, Nice, Brussels].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Brussels to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vienna, Rome, Split, Zurich, Nice, Brussels, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Split.\n**Day 9-12:** Visit Split for 4 days.\n**Day 12:** Fly from Split to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Nice.\n**Day 14-16:** Visit Nice for 3 days.\n**Day 16:** Fly from Nice to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Budapest**Vienna**Stockholm**Dubrovnik**Athens**Riga",
    "ground_truth_durations": "5**3**5**2**4**4**4",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Riga"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. During day 5 and day 7, you have to attend a conference in Budapest. You want to spend 4 days in Riga. You want to spend 4 days in Dubrovnik. You would like to visit Athens for 4 days. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 11 and day 12. You plan to stay in Bucharest for 5 days. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nVienna and Riga, Stockholm and Riga, Dubrovnik and Athens, Vienna and Athens, Bucharest and Budapest, from Athens to Riga, Bucharest and Athens, Vienna and Dubrovnik, Budapest and Vienna, Bucharest and Vienna, Stockholm and Athens, Bucharest and Riga, Vienna and Stockholm, Stockholm and Dubrovnik.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. During day 5 and day 7, you have to attend a conference in Budapest. You want to spend 4 days in Riga. You want to spend 4 days in Dubrovnik. You would like to visit Athens for 4 days. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 11 and day 12. You plan to stay in Bucharest for 5 days. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Riga, from Stockholm to Riga, from Dubrovnik to Athens, from Vienna to Athens, from Bucharest to Budapest, from Athens to Riga, from Bucharest to Athens, from Vienna to Dubrovnik, from Budapest to Vienna, from Bucharest to Vienna, from Stockholm to Athens, from Bucharest to Riga, from Vienna to Stockholm, from Stockholm to Dubrovnik.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Stockholm.\n**Day 11-12:** Visit Stockholm for 2 days.\n**Day 12:** Fly from Stockholm to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Athens.\n**Day 15-18:** Visit Athens for 4 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-21:** Visit Riga for 4 days.",
    "id": "trip_planning_example_936",
    "estimated_output_tokens": 3503,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Riga, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Bucharest, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 5 - 7.\n* City: Stockholm, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Bucharest, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Athens, Bucharest, Vienna] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Riga is Day 4. The arrival day of Budapest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Athens, Bucharest, Vienna] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Budapest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Bucharest, Vienna] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 5 - 7).\n   |- The departure day of Athens is Day 7. The arrival day of Budapest is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Athens is Day 4. The arrival day of Budapest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Bucharest, Vienna] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 5 - 7).\n   |- The departure day of Riga is Day 7. The arrival day of Budapest is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Bucharest is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 11 - 12).\n   |- The departure day of Budapest is Day 7. The arrival day of Stockholm is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Athens, Vienna] and explore these options in order.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Budapest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 11 - 12).\n     |- The departure day of Vienna is Day 11. The arrival day of Stockholm is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Bucharest, Budapest, Vienna].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Vienna to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Budapest, Vienna, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Athens] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stockholm to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Bucharest, Budapest, Vienna, Stockholm, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Athens] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Athens.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Bucharest, Budapest, Vienna, Stockholm, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Athens] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Dubrovnik to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Dubrovnik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Budapest, Vienna, Stockholm, Dubrovnik, Athens].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Athens to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Bucharest, Budapest, Vienna, Stockholm, Dubrovnik, Athens, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Vienna.\n**Day 7-11:** Visit Vienna for 5 days.\n**Day 11:** Fly from Vienna to Stockholm.\n**Day 11-12:** Visit Stockholm for 2 days.\n**Day 12:** Fly from Stockholm to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Athens.\n**Day 15-18:** Visit Athens for 4 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-21:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Porto**Frankfurt**Dubrovnik**Stockholm**Santorini**Bucharest",
    "ground_truth_durations": "5**3**4**2**5**5**3",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You plan to stay in Bucharest for 3 days. You would like to meet your friends at Bucharest between day 19 and day 21 to tour together. You plan to stay in Santorini for 5 days. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 5 and day 7. You would like to visit Stockholm for 5 days. You plan to stay in Istanbul for 5 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nIstanbul and Bucharest, Istanbul and Stockholm, Istanbul and Porto, from Stockholm to Santorini, Frankfurt and Stockholm, Frankfurt and Bucharest, Santorini and Bucharest, Istanbul and Frankfurt, Dubrovnik and Stockholm, Frankfurt and Dubrovnik, Porto and Frankfurt, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You plan to stay in Bucharest for 3 days. You would like to meet your friends at Bucharest between day 19 and day 21 to tour together. You plan to stay in Santorini for 5 days. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 5 and day 7. You would like to visit Stockholm for 5 days. You plan to stay in Istanbul for 5 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Bucharest, from Istanbul to Stockholm, from Istanbul to Porto, from Stockholm to Santorini, from Frankfurt to Stockholm, from Frankfurt to Bucharest, from Santorini to Bucharest, from Istanbul to Frankfurt, from Dubrovnik to Stockholm, from Frankfurt to Dubrovnik, from Porto to Frankfurt, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Bucharest.\n**Day 19-21:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_937",
    "estimated_output_tokens": 3047,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Santorini, Duration: 5 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Stockholm, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 5 - 7.\n* City: Bucharest, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Stockholm, Istanbul, Frankfurt] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 7).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Porto is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm, Istanbul, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 5 - 7).\n   |- The departure day of Stockholm is Day 6. The arrival day of Porto is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 5 - 7).\n   |- The departure day of Istanbul is Day 6. The arrival day of Porto is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 7).\n |- The departure day of Santorini is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 7).\n |- The departure day of Stockholm is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Stockholm to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 5 - 7).\n |- The departure day of Istanbul is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Istanbul to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 19 - 21).\n   |- The departure day of Porto is Day 7. The arrival day of Bucharest is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Porto].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Stockholm, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Porto to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Porto to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 19 - 21).\n     |- The departure day of Frankfurt is Day 10. The arrival day of Bucharest is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Porto, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Stockholm] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 19 - 21).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Bucharest is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Porto, Frankfurt, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 19 - 21).\n         |- The departure day of Stockholm is Day 15. The arrival day of Bucharest is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Porto, Frankfurt, Dubrovnik, Stockholm].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Bucharest (Day 19 - 21).\n           |- The departure day of Santorini is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Istanbul, Porto, Frankfurt, Dubrovnik, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Istanbul, Porto, Frankfurt, Dubrovnik, Stockholm, Santorini, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Porto.\n**Day 5-7:** Visit Porto for 3 days.\n**Day 7:** Fly from Porto to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Bucharest.\n**Day 19-21:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Dubrovnik**Istanbul**Krakow**Valencia**London**Florence",
    "ground_truth_durations": "2**3**2**5**4**3**4",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Barcelona",
        "London"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Istanbul",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. During day 5 and day 9, you have to attend a conference in Krakow. You want to spend 4 days in Florence. You plan to visit relatives in Florence between day 14 and day 17. You want to spend 2 days in Istanbul. You plan to stay in Barcelona for 2 days. You want to meet a friend in Barcelona between day 1 and day 2. You would like to visit London for 3 days. You want to spend 3 days in Dubrovnik. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Krakow, Barcelona and London, London and Florence, Barcelona and Dubrovnik, Istanbul and Krakow, Barcelona and Istanbul, Barcelona and Florence, Barcelona and Valencia, Valencia and London, Istanbul and London, Krakow and London, from Dubrovnik to Istanbul, Krakow and Valencia, Istanbul and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 5 days. During day 5 and day 9, you have to attend a conference in Krakow. You want to spend 4 days in Florence. You plan to visit relatives in Florence between day 14 and day 17. You want to spend 2 days in Istanbul. You plan to stay in Barcelona for 2 days. You want to meet a friend in Barcelona between day 1 and day 2. You would like to visit London for 3 days. You want to spend 3 days in Dubrovnik. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Krakow, from Barcelona to London, from London to Florence, from Barcelona to Dubrovnik, from Istanbul to Krakow, from Barcelona to Istanbul, from Barcelona to Florence, from Barcelona to Valencia, from Valencia to London, from Istanbul to London, from Krakow to London, from Dubrovnik to Istanbul, from Krakow to Valencia, from Istanbul to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Florence.\n**Day 14-17:** Visit Florence for 4 days.",
    "id": "trip_planning_example_938",
    "estimated_output_tokens": 3039,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Istanbul, Duration: 2 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: London, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Krakow, Fixed Schedule: Day 5 - 9.\n* City: Florence, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Barcelona is Day 2. The arrival day of Krakow is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, London, Dubrovnik, Valencia] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 5 - 9).\n   |- The departure day of Istanbul is Day 3. The arrival day of Krakow is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Dubrovnik, Valencia] and explore these options in order.\n     |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Istanbul to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 5 - 9).\n     |- The departure day of London is Day 5. The arrival day of Krakow is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Istanbul, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from London to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Istanbul to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Istanbul to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 5 - 9).\n     |- The departure day of Valencia is Day 6. The arrival day of Krakow is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 5 - 9).\n   |- The departure day of London is Day 4. The arrival day of Krakow is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Valencia] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from London to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 5 - 9).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Krakow is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, London, Valencia] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 5 - 9).\n     |- The departure day of Istanbul is Day 5. The arrival day of Krakow is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Dubrovnik, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Istanbul to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 14 - 17).\n       |- The departure day of Krakow is Day 9. The arrival day of Florence is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Dubrovnik, Istanbul, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Valencia] and explore these options in order.\n         |- Try arranging to visit London from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Krakow to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 14 - 17).\n         |- The departure day of London is Day 11. The arrival day of Florence is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Barcelona, Dubrovnik, Istanbul, Krakow, London].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from London to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Krakow to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 14 - 17).\n         |- The departure day of Valencia is Day 12. The arrival day of Florence is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Barcelona, Dubrovnik, Istanbul, Krakow, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n           |- Try arranging to visit London from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Valencia to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 14 - 17).\n           |- The departure day of London is Day 14. The arrival day of Florence is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Barcelona, Dubrovnik, Istanbul, Krakow, Valencia, London].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from London to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Barcelona, Dubrovnik, Istanbul, Krakow, Valencia, London, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Florence.\n**Day 14-17:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Munich**Brussels**Manchester**Split**Zurich**Tallinn",
    "ground_truth_durations": "4**5**4**4**3**4**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Munich",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Brussels for 4 days. You plan to stay in Barcelona for 4 days. You want to meet a friend in Barcelona between day 1 and day 4. You would like to visit Munich for 5 days. During day 4 and day 8, you have to attend a conference in Munich. You want to spend 4 days in Manchester. You would like to visit Zurich for 4 days. You want to spend 3 days in Split. You would like to meet your friends at Split between day 14 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nBarcelona and Brussels, Brussels and Manchester, Munich and Tallinn, Barcelona and Zurich, Split and Zurich, from Manchester to Split, Barcelona and Split, Barcelona and Munich, Munich and Split, Barcelona and Manchester, Barcelona and Tallinn, Brussels and Tallinn, Zurich and Tallinn, Brussels and Zurich, Manchester and Zurich, Munich and Zurich, Munich and Manchester, Munich and Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Brussels for 4 days. You plan to stay in Barcelona for 4 days. You want to meet a friend in Barcelona between day 1 and day 4. You would like to visit Munich for 5 days. During day 4 and day 8, you have to attend a conference in Munich. You want to spend 4 days in Manchester. You would like to visit Zurich for 4 days. You want to spend 3 days in Split. You would like to meet your friends at Split between day 14 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Brussels, from Brussels to Manchester, from Munich to Tallinn, from Barcelona to Zurich, from Split to Zurich, from Manchester to Split, from Barcelona to Split, from Barcelona to Munich, from Munich to Split, from Barcelona to Manchester, from Barcelona to Tallinn, from Brussels to Tallinn, from Zurich to Tallinn, from Brussels to Zurich, from Manchester to Zurich, from Munich to Zurich, from Munich to Manchester, from Munich to Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Brussels.\n**Day 8-11:** Visit Brussels for 4 days.\n**Day 11:** Fly from Brussels to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-16:** Visit Split for 3 days.\n**Day 16:** Fly from Split to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_939",
    "estimated_output_tokens": 2340,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Brussels, Duration: 4 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Manchester, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 8.\n* City: Split, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Brussels, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 8).\n |- The departure day of Barcelona is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 14 - 16).\n   |- The departure day of Munich is Day 8. The arrival day of Split is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Brussels, Manchester, Zurich] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 14 - 16).\n     |- The departure day of Tallinn is Day 11. The arrival day of Split is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Barcelona, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Manchester, Zurich] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Tallinn to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Tallinn to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Tallinn to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 14 - 16).\n     |- The departure day of Brussels is Day 11. The arrival day of Split is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Barcelona, Munich, Brussels].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Zurich] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Brussels to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 14 - 16).\n       |- The departure day of Tallinn is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Barcelona, Munich, Brussels, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n         |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Tallinn to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Brussels to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 14 - 16).\n       |- The departure day of Manchester is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Barcelona, Munich, Brussels, Manchester].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n         |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Manchester to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Barcelona, Munich, Brussels, Manchester, Split].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Split to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Split to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Barcelona, Munich, Brussels, Manchester, Split, Zurich].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Zurich to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Barcelona, Munich, Brussels, Manchester, Split, Zurich, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Munich.\n**Day 4-8:** Visit Munich for 5 days.\n**Day 8:** Fly from Munich to Brussels.\n**Day 8-11:** Visit Brussels for 4 days.\n**Day 11:** Fly from Brussels to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-16:** Visit Split for 3 days.\n**Day 16:** Fly from Split to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Geneva**Helsinki**Naples**Stuttgart**Valencia**Frankfurt",
    "ground_truth_durations": "5**3**3**5**5**3**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Naples",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You are going to attend a wedding in Athens between day 1 and day 5. You would like to visit Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 19 and day 22. You would like to visit Stuttgart for 5 days. You want to meet a friend in Stuttgart between day 13 and day 17. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Naples. You would like to visit Valencia for 3 days. You would like to visit Geneva for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Frankfurt, Athens and Stuttgart, Valencia and Frankfurt, Geneva and Valencia, Helsinki and Naples, Geneva and Helsinki, from Valencia to Athens, Naples and Stuttgart, Stuttgart and Frankfurt, Geneva and Frankfurt, Naples and Valencia, Athens and Naples, Stuttgart and Valencia, Athens and Geneva, Athens and Frankfurt, Geneva and Naples, Naples and Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You are going to attend a wedding in Athens between day 1 and day 5. You would like to visit Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 19 and day 22. You would like to visit Stuttgart for 5 days. You want to meet a friend in Stuttgart between day 13 and day 17. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Naples. You would like to visit Valencia for 3 days. You would like to visit Geneva for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Frankfurt, from Athens to Stuttgart, from Valencia to Frankfurt, from Geneva to Valencia, from Helsinki to Naples, from Geneva to Helsinki, from Valencia to Athens, from Naples to Stuttgart, from Stuttgart to Frankfurt, from Geneva to Frankfurt, from Naples to Valencia, from Athens to Naples, from Stuttgart to Valencia, from Athens to Geneva, from Athens to Frankfurt, from Geneva to Naples, from Naples to Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Geneva.\n**Day 5-7:** Visit Geneva for 3 days.\n**Day 7:** Fly from Geneva to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_940",
    "estimated_output_tokens": 2435,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Helsinki, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 5.\n* City: Stuttgart, Fixed Schedule: Day 13 - 17.\n* City: Frankfurt, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 13 - 17).\n |- The departure day of Athens is Day 5. The arrival day of Stuttgart is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Naples, Valencia, Geneva] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Athens to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 13 - 17).\n   |- The departure day of Naples is Day 9. The arrival day of Stuttgart is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Athens, Naples].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Valencia, Geneva] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Naples to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Naples to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 13 - 17).\n     |- The departure day of Valencia is Day 11. The arrival day of Stuttgart is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Naples, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Naples to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 13 - 17).\n   |- The departure day of Geneva is Day 7. The arrival day of Stuttgart is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Athens, Geneva].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Naples, Valencia] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Geneva to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 13 - 17).\n     |- The departure day of Helsinki is Day 9. The arrival day of Stuttgart is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Geneva, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Valencia] and explore these options in order.\n       |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Helsinki to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 13 - 17).\n       |- The departure day of Naples is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Geneva, Helsinki, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 19 - 22).\n         |- The departure day of Stuttgart is Day 17. The arrival day of Frankfurt is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Athens, Geneva, Helsinki, Naples, Stuttgart].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Stuttgart to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Frankfurt (Day 19 - 22).\n           |- The departure day of Valencia is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Athens, Geneva, Helsinki, Naples, Stuttgart, Valencia].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n             |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Valencia to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Athens, Geneva, Helsinki, Naples, Stuttgart, Valencia, Frankfurt].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Geneva.\n**Day 5-7:** Visit Geneva for 3 days.\n**Day 7:** Fly from Geneva to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Naples.\n**Day 9-13:** Visit Naples for 5 days.\n**Day 13:** Fly from Naples to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Prague**Bucharest**Valencia**Seville**Amsterdam**Dubrovnik",
    "ground_truth_durations": "3**3**4**3**2**2**4",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Bucharest for 4 days. You would like to visit Dubrovnik for 4 days. You want to spend 3 days in Split. From day 1 to day 3, there is a annual show you want to attend in Split. You plan to stay in Amsterdam for 2 days. You plan to stay in Prague for 3 days. You would like to visit Seville for 2 days.\n\nHere are the cities that have direct flights:\nValencia and Amsterdam, Seville and Amsterdam, Split and Amsterdam, Amsterdam and Dubrovnik, Prague and Amsterdam, Split and Prague, Prague and Valencia, Bucharest and Amsterdam, Valencia and Seville, Prague and Bucharest, Bucharest and Valencia.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Bucharest for 4 days. You would like to visit Dubrovnik for 4 days. You want to spend 3 days in Split. From day 1 to day 3, there is a annual show you want to attend in Split. You plan to stay in Amsterdam for 2 days. You plan to stay in Prague for 3 days. You would like to visit Seville for 2 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Amsterdam, from Seville to Amsterdam, from Split to Amsterdam, from Amsterdam to Dubrovnik, from Prague to Amsterdam, from Split to Prague, from Prague to Valencia, from Bucharest to Amsterdam, from Valencia to Seville, from Prague to Bucharest, from Bucharest to Valencia.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-12:** Visit Amsterdam for 2 days.\n**Day 12:** Fly from Amsterdam to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_941",
    "estimated_output_tokens": 4610,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Dubrovnik, Amsterdam, Prague, Seville] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Dubrovnik, Prague, Seville] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Amsterdam, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Prague, Seville] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dubrovnik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dubrovnik to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Amsterdam to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Dubrovnik, Amsterdam, Seville] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Prague, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik, Amsterdam, Seville] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Split, Prague, Valencia, Amsterdam].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik, Seville] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Amsterdam to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Prague, Valencia, Amsterdam, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Dubrovnik to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Dubrovnik to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Amsterdam to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Split, Prague, Valencia, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Seville to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Seville to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Seville to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Split, Prague, Valencia, Seville, Amsterdam].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Amsterdam to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Amsterdam to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Split, Prague, Valencia, Seville, Amsterdam, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Dubrovnik to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Prague, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Amsterdam, Seville] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Bucharest to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Prague, Bucharest, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Seville] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Prague, Bucharest, Valencia, Amsterdam].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Seville] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Amsterdam to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Split, Prague, Bucharest, Valencia, Amsterdam, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Dubrovnik to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Amsterdam to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Prague, Bucharest, Valencia, Seville].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Seville to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Seville to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Split, Prague, Bucharest, Valencia, Seville, Amsterdam].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Split, Prague, Bucharest, Valencia, Seville, Amsterdam, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-12:** Visit Amsterdam for 2 days.\n**Day 12:** Fly from Amsterdam to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Vienna**Lisbon**Seville**Edinburgh**Venice**Munich",
    "ground_truth_durations": "4**2**2**3**5**2**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Lisbon",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You plan to stay in Venice for 2 days. From day 12 to day 13, there is a annual show you want to attend in Venice. You would like to visit Dubrovnik for 4 days. You want to spend 5 days in Edinburgh. You plan to stay in Vienna for 2 days. You plan to stay in Seville for 3 days. You would like to visit Munich for 5 days. You want to meet a friend in Munich between day 13 and day 17.\n\nHere are the cities that have direct flights:\nLisbon and Munich, Vienna and Munich, Dubrovnik and Munich, Edinburgh and Venice, Vienna and Lisbon, Seville and Munich, Vienna and Seville, Seville and Edinburgh, Venice and Munich, Edinburgh and Munich, Dubrovnik and Vienna, Vienna and Venice, Lisbon and Seville, Lisbon and Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You plan to stay in Venice for 2 days. From day 12 to day 13, there is a annual show you want to attend in Venice. You would like to visit Dubrovnik for 4 days. You want to spend 5 days in Edinburgh. You plan to stay in Vienna for 2 days. You plan to stay in Seville for 3 days. You would like to visit Munich for 5 days. You want to meet a friend in Munich between day 13 and day 17.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Munich, from Vienna to Munich, from Dubrovnik to Munich, from Edinburgh to Venice, from Vienna to Lisbon, from Seville to Munich, from Vienna to Seville, from Seville to Edinburgh, from Venice to Munich, from Edinburgh to Munich, from Dubrovnik to Vienna, from Vienna to Venice, from Lisbon to Seville, from Lisbon to Venice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Seville.\n**Day 6-8:** Visit Seville for 3 days.\n**Day 8:** Fly from Seville to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Venice.\n**Day 12-13:** Visit Venice for 2 days.\n**Day 13:** Fly from Venice to Munich.\n**Day 13-17:** Visit Munich for 5 days.",
    "id": "trip_planning_example_942",
    "estimated_output_tokens": 2899,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Dubrovnik, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 12 - 13.\n* City: Munich, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Dubrovnik, Edinburgh, Vienna, Seville] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 12 - 13).\n |- The departure day of Lisbon is Day 2. The arrival day of Venice is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Edinburgh, Vienna, Seville] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lisbon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lisbon to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 12 - 13).\n   |- The departure day of Seville is Day 4. The arrival day of Venice is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Seville].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Edinburgh, Vienna] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Seville to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Seville to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 12 - 13).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Venice is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Seville, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Edinburgh to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Edinburgh to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Seville to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 12 - 13).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Venice is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Edinburgh, Vienna, Seville] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 12 - 13).\n   |- The departure day of Vienna is Day 5. The arrival day of Venice is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Edinburgh, Seville] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vienna to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 12 - 13).\n     |- The departure day of Lisbon is Day 6. The arrival day of Venice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Vienna, Lisbon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lisbon to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lisbon to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 12 - 13).\n       |- The departure day of Seville is Day 8. The arrival day of Venice is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dubrovnik, Vienna, Lisbon, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Seville to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 12 - 13).\n         |- The departure day of Edinburgh is Day 12. The arrival day of Venice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Dubrovnik, Vienna, Lisbon, Seville, Edinburgh].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Edinburgh to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Munich (Day 13 - 17).\n           |- The departure day of Venice is Day 13. The arrival day of Munich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Dubrovnik, Vienna, Lisbon, Seville, Edinburgh, Venice].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Munich.\n             |- Try arranging to visit Munich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Venice to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Vienna, Lisbon, Seville, Edinburgh, Venice, Munich].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Seville.\n**Day 6-8:** Visit Seville for 3 days.\n**Day 8:** Fly from Seville to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Venice.\n**Day 12-13:** Visit Venice for 2 days.\n**Day 13:** Fly from Venice to Munich.\n**Day 13-17:** Visit Munich for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Vienna**Mykonos**Nice**Riga**Paris**Seville",
    "ground_truth_durations": "5**5**2**2**3**2**3",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Nice",
        "Paris"
      ],
      [
        "Vienna",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 1 and day 5 to tour together. You plan to stay in Paris for 2 days. You would like to visit Riga for 3 days. You would like to visit Seville for 3 days. You plan to stay in Mykonos for 2 days. You are going to attend a wedding in Mykonos between day 9 and day 10. You plan to stay in Nice for 2 days. You would like to visit Vienna for 5 days.\n\nHere are the cities that have direct flights:\nKrakow and Vienna, Paris and Seville, Mykonos and Nice, Vienna and Riga, Vienna and Nice, Nice and Riga, Riga and Paris, Krakow and Paris, Vienna and Mykonos, Vienna and Paris, Nice and Paris, Vienna and Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 1 and day 5 to tour together. You plan to stay in Paris for 2 days. You would like to visit Riga for 3 days. You would like to visit Seville for 3 days. You plan to stay in Mykonos for 2 days. You are going to attend a wedding in Mykonos between day 9 and day 10. You plan to stay in Nice for 2 days. You would like to visit Vienna for 5 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vienna, from Paris to Seville, from Mykonos to Nice, from Vienna to Riga, from Vienna to Nice, from Nice to Riga, from Riga to Paris, from Krakow to Paris, from Vienna to Mykonos, from Vienna to Paris, from Nice to Paris, from Vienna to Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Nice.\n**Day 10-11:** Visit Nice for 2 days.\n**Day 11:** Fly from Nice to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Seville.\n**Day 14-16:** Visit Seville for 3 days.",
    "id": "trip_planning_example_943",
    "estimated_output_tokens": 3144,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Paris, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Nice, Duration: 2 days.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 5.\n* City: Mykonos, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 9 - 10).\n |- The departure day of Krakow is Day 5. The arrival day of Mykonos is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Riga, Seville, Nice, Vienna] and explore these options in order.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 10).\n   |- The departure day of Paris is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Seville, Nice, Vienna] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 10).\n     |- The departure day of Seville is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Paris, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Nice, Vienna] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Seville to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Seville to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Seville to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Krakow to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 10).\n   |- The departure day of Vienna is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Krakow, Vienna].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Vienna, Mykonos].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Riga, Seville, Nice] and explore these options in order.\n       |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Mykonos to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Mykonos to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Mykonos to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Mykonos to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Vienna, Mykonos, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Riga, Seville] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Nice to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Krakow, Vienna, Mykonos, Nice, Paris].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Seville] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Paris to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Paris to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Krakow, Vienna, Mykonos, Nice, Paris, Seville].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Seville to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Nice to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Vienna, Mykonos, Nice, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Seville] and explore these options in order.\n           |- Try arranging to visit Paris from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Krakow, Vienna, Mykonos, Nice, Riga, Paris].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Paris to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Krakow, Vienna, Mykonos, Nice, Riga, Paris, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Vienna.\n**Day 5-9:** Visit Vienna for 5 days.\n**Day 9:** Fly from Vienna to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Nice.\n**Day 10-11:** Visit Nice for 2 days.\n**Day 11:** Fly from Nice to Riga.\n**Day 11-13:** Visit Riga for 3 days.\n**Day 13:** Fly from Riga to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Seville.\n**Day 14-16:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Valencia**Frankfurt**Manchester**Santorini**Milan**Mykonos",
    "ground_truth_durations": "4**3**2**5**3**2**3",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Milan"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Valencia",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Milan. During day 13 and day 14, you have to attend a conference in Milan. You would like to visit Valencia for 3 days. You would like to visit Frankfurt for 2 days. You plan to stay in Santorini for 3 days. You would like to meet your friends at Santorini between day 11 and day 13 to tour together. You would like to visit Mykonos for 3 days. You want to spend 5 days in Manchester. You would like to visit Rome for 4 days. You have to attend a workshop in Rome between day 1 and day 4.\n\nHere are the cities that have direct flights:\nManchester and Milan, Santorini and Milan, Rome and Frankfurt, Rome and Manchester, Frankfurt and Milan, Valencia and Frankfurt, Rome and Valencia, Rome and Santorini, Frankfurt and Manchester, Milan and Mykonos, Rome and Mykonos, Manchester and Santorini, Valencia and Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Milan. During day 13 and day 14, you have to attend a conference in Milan. You would like to visit Valencia for 3 days. You would like to visit Frankfurt for 2 days. You plan to stay in Santorini for 3 days. You would like to meet your friends at Santorini between day 11 and day 13 to tour together. You would like to visit Mykonos for 3 days. You want to spend 5 days in Manchester. You would like to visit Rome for 4 days. You have to attend a workshop in Rome between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Manchester to Milan, from Santorini to Milan, from Rome to Frankfurt, from Rome to Manchester, from Frankfurt to Milan, from Valencia to Frankfurt, from Rome to Valencia, from Rome to Santorini, from Frankfurt to Manchester, from Milan to Mykonos, from Rome to Mykonos, from Manchester to Santorini, from Valencia to Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Frankfurt.\n**Day 6-7:** Visit Frankfurt for 2 days.\n**Day 7:** Fly from Frankfurt to Manchester.\n**Day 7-11:** Visit Manchester for 5 days.\n**Day 11:** Fly from Manchester to Santorini.\n**Day 11-13:** Visit Santorini for 3 days.\n**Day 13:** Fly from Santorini to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_944",
    "estimated_output_tokens": 1814,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Valencia, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Mykonos, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Fixed Schedule: Day 11 - 13.\n* City: Milan, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 11 - 13).\n |- The departure day of Rome is Day 4. The arrival day of Santorini is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Frankfurt, Mykonos, Manchester] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 11 - 13).\n   |- The departure day of Valencia is Day 6. The arrival day of Santorini is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Mykonos, Manchester] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Valencia to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 11 - 13).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Santorini is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Rome, Valencia, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Manchester] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Frankfurt to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 11 - 13).\n       |- The departure day of Manchester is Day 11. The arrival day of Santorini is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Valencia, Frankfurt, Manchester].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 14).\n         |- The departure day of Santorini is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Valencia, Frankfurt, Manchester, Santorini].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Santorini to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Rome, Valencia, Frankfurt, Manchester, Santorini, Milan].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Milan to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Rome, Valencia, Frankfurt, Manchester, Santorini, Milan, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Valencia.\n**Day 4-6:** Visit Valencia for 3 days.\n**Day 6:** Fly from Valencia to Frankfurt.\n**Day 6-7:** Visit Frankfurt for 2 days.\n**Day 7:** Fly from Frankfurt to Manchester.\n**Day 7-11:** Visit Manchester for 5 days.\n**Day 11:** Fly from Manchester to Santorini.\n**Day 11-13:** Visit Santorini for 3 days.\n**Day 13:** Fly from Santorini to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Milan**Stuttgart**Amsterdam**Tallinn**Brussels**Bucharest",
    "ground_truth_durations": "3**2**2**4**3**3**4",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Brussels"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Amsterdam. You plan to stay in Stuttgart for 2 days. During day 4 and day 5, you have to attend a conference in Stuttgart. You would like to visit Bucharest for 4 days. You want to spend 3 days in Brussels. You would like to meet your friends at Brussels between day 10 and day 12 to tour together. You plan to stay in Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 2 days in Milan. You want to spend 3 days in Seville.\n\nHere are the cities that have direct flights:\nSeville and Brussels, Brussels and Bucharest, Seville and Milan, Amsterdam and Tallinn, Seville and Amsterdam, Milan and Amsterdam, Milan and Brussels, Tallinn and Brussels, Stuttgart and Amsterdam, Milan and Stuttgart, Amsterdam and Bucharest.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Amsterdam. You plan to stay in Stuttgart for 2 days. During day 4 and day 5, you have to attend a conference in Stuttgart. You would like to visit Bucharest for 4 days. You want to spend 3 days in Brussels. You would like to meet your friends at Brussels between day 10 and day 12 to tour together. You plan to stay in Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 2 days in Milan. You want to spend 3 days in Seville.\n\nHere are the cities that have direct flights:\nfrom Seville to Brussels, from Brussels to Bucharest, from Seville to Milan, from Amsterdam to Tallinn, from Seville to Amsterdam, from Milan to Amsterdam, from Milan to Brussels, from Tallinn to Brussels, from Stuttgart to Amsterdam, from Milan to Stuttgart, from Amsterdam to Bucharest.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Stuttgart.\n**Day 4-5:** Visit Stuttgart for 2 days.\n**Day 5:** Fly from Stuttgart to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Bucharest.\n**Day 12-15:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_945",
    "estimated_output_tokens": 2807,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Milan, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 4 - 5.\n* City: Tallinn, Fixed Schedule: Day 8 - 10.\n* City: Brussels, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Milan, Seville] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Amsterdam is Day 4. The arrival day of Stuttgart is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Bucharest is Day 4. The arrival day of Stuttgart is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Bucharest to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Milan is Day 2. The arrival day of Stuttgart is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Seville] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 4 - 5).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Stuttgart is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Seville is Day 3. The arrival day of Stuttgart is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Milan] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 4 - 5).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Stuttgart is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Seville to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 4 - 5).\n   |- The departure day of Milan is Day 4. The arrival day of Stuttgart is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Seville, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 10).\n     |- The departure day of Stuttgart is Day 5. The arrival day of Tallinn is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Seville, Milan, Stuttgart].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Stuttgart to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 10).\n       |- The departure day of Amsterdam is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Seville, Milan, Stuttgart, Amsterdam].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Amsterdam to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 10 - 12).\n         |- The departure day of Tallinn is Day 10. The arrival day of Brussels is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Seville, Milan, Stuttgart, Amsterdam, Tallinn].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Brussels.\n           |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Tallinn to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Seville, Milan, Stuttgart, Amsterdam, Tallinn, Brussels].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Brussels to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Seville, Milan, Stuttgart, Amsterdam, Tallinn, Brussels, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Stuttgart.\n**Day 4-5:** Visit Stuttgart for 2 days.\n**Day 5:** Fly from Stuttgart to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Bucharest.\n**Day 12-15:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Athens**Vilnius**Helsinki**Zurich**Madrid**Lyon",
    "ground_truth_durations": "4**5**4**4**5**2**2",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Madrid"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Athens",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Zurich for 5 days. You plan to stay in Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 1 and day 4. You want to spend 2 days in Lyon. From day 19 to day 20, there is a annual show you want to attend in Lyon. You plan to stay in Athens for 5 days. You would like to visit Madrid for 2 days. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 11 and day 14.\n\nHere are the cities that have direct flights:\nAthens and Madrid, Zurich and Madrid, Athens and Zurich, Vilnius and Zurich, Helsinki and Madrid, Helsinki and Zurich, Vilnius and Helsinki, Madrid and Lyon, Stuttgart and Athens, Athens and Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Zurich for 5 days. You plan to stay in Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 1 and day 4. You want to spend 2 days in Lyon. From day 19 to day 20, there is a annual show you want to attend in Lyon. You plan to stay in Athens for 5 days. You would like to visit Madrid for 2 days. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Athens to Madrid, from Zurich to Madrid, from Athens to Zurich, from Vilnius to Zurich, from Helsinki to Madrid, from Helsinki to Zurich, from Vilnius to Helsinki, from Madrid to Lyon, from Stuttgart to Athens, from Athens to Vilnius.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Madrid.\n**Day 18-19:** Visit Madrid for 2 days.\n**Day 19:** Fly from Madrid to Lyon.\n**Day 19-20:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_946",
    "estimated_output_tokens": 1867,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Athens, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Helsinki, Fixed Schedule: Day 11 - 14.\n* City: Lyon, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 11 - 14).\n |- The departure day of Stuttgart is Day 4. The arrival day of Helsinki is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Zurich, Athens, Madrid] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 11 - 14).\n   |- The departure day of Athens is Day 8. The arrival day of Helsinki is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Zurich, Madrid] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 11 - 14).\n     |- The departure day of Vilnius is Day 11. The arrival day of Helsinki is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Athens, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 19 - 20).\n       |- The departure day of Helsinki is Day 14. The arrival day of Lyon is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Athens, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Madrid] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 19 - 20).\n         |- The departure day of Zurich is Day 18. The arrival day of Lyon is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Athens, Vilnius, Helsinki, Zurich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Zurich to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Lyon (Day 19 - 20).\n           |- The departure day of Madrid is Day 19. The arrival day of Lyon is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stuttgart, Athens, Vilnius, Helsinki, Zurich, Madrid].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Lyon.\n             |- Try arranging to visit Lyon from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Madrid to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stuttgart, Athens, Vilnius, Helsinki, Zurich, Madrid, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Madrid.\n**Day 18-19:** Visit Madrid for 2 days.\n**Day 19:** Fly from Madrid to Lyon.\n**Day 19-20:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**London**Lyon**Rome**Dubrovnik**Vienna**Seville",
    "ground_truth_durations": "5**2**5**4**3**5**5",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Rome"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Budapest",
        "Rome"
      ],
      [
        "Budapest",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You want to spend 2 days in London. You plan to stay in Rome for 4 days. From day 10 to day 13, there is a annual show you want to attend in Rome. You want to spend 5 days in Budapest. You want to meet a friend in Budapest between day 1 and day 5. You plan to stay in Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 13 and day 15 to tour together. You plan to stay in Seville for 5 days. You want to spend 5 days in Vienna.\n\nHere are the cities that have direct flights:\nLondon and Rome, Rome and Vienna, Rome and Dubrovnik, London and Vienna, London and Lyon, Dubrovnik and Vienna, Lyon and Rome, Vienna and Seville, Budapest and Vienna, Rome and Seville, Lyon and Vienna, Budapest and Rome, Budapest and London.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You want to spend 2 days in London. You plan to stay in Rome for 4 days. From day 10 to day 13, there is a annual show you want to attend in Rome. You want to spend 5 days in Budapest. You want to meet a friend in Budapest between day 1 and day 5. You plan to stay in Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 13 and day 15 to tour together. You plan to stay in Seville for 5 days. You want to spend 5 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom London to Rome, from Rome to Vienna, from Rome to Dubrovnik, from London to Vienna, from London to Lyon, from Dubrovnik to Vienna, from Lyon to Rome, from Vienna to Seville, from Budapest to Vienna, from Rome to Seville, from Lyon to Vienna, from Budapest to Rome, from Budapest to London.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Lyon.\n**Day 6-10:** Visit Lyon for 5 days.\n**Day 10:** Fly from Lyon to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Vienna.\n**Day 15-19:** Visit Vienna for 5 days.\n**Day 19:** Fly from Vienna to Seville.\n**Day 19-23:** Visit Seville for 5 days.",
    "id": "trip_planning_example_947",
    "estimated_output_tokens": 1806,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Seville, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 10 - 13).\n |- The departure day of Budapest is Day 5. The arrival day of Rome is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, London, Seville, Vienna] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Budapest to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 10 - 13).\n   |- The departure day of London is Day 6. The arrival day of Rome is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Seville, Vienna] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 10 - 13).\n     |- The departure day of Lyon is Day 10. The arrival day of Rome is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, London, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 15).\n       |- The departure day of Rome is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, London, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Rome to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Budapest, London, Lyon, Rome, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Vienna] and explore these options in order.\n           |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Dubrovnik to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Dubrovnik to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Budapest, London, Lyon, Rome, Dubrovnik, Vienna].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vienna to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Budapest, London, Lyon, Rome, Dubrovnik, Vienna, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to London.\n**Day 5-6:** Visit London for 2 days.\n**Day 6:** Fly from London to Lyon.\n**Day 6-10:** Visit Lyon for 5 days.\n**Day 10:** Fly from Lyon to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Vienna.\n**Day 15-19:** Visit Vienna for 5 days.\n**Day 19:** Fly from Vienna to Seville.\n**Day 19-23:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Istanbul**Riga**Bucharest**Naples**Split",
    "ground_truth_durations": "4**2**5**3**3**5**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Riga",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. You would like to visit Bucharest for 3 days. You would like to visit Riga for 3 days. You want to spend 2 days in Split. You want to spend 4 days in Reykjavik. You would like to visit Stuttgart for 2 days. You would like to meet your friends at Stuttgart between day 4 and day 5 to tour together. You want to spend 5 days in Istanbul. You have to attend a workshop in Istanbul between day 5 and day 9.\n\nHere are the cities that have direct flights:\nBucharest and Naples, Stuttgart and Naples, Naples and Split, from Reykjavik to Stuttgart, Stuttgart and Split, Istanbul and Riga, Istanbul and Bucharest, Stuttgart and Istanbul, Istanbul and Naples, Riga and Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Naples. You would like to visit Bucharest for 3 days. You would like to visit Riga for 3 days. You want to spend 2 days in Split. You want to spend 4 days in Reykjavik. You would like to visit Stuttgart for 2 days. You would like to meet your friends at Stuttgart between day 4 and day 5 to tour together. You want to spend 5 days in Istanbul. You have to attend a workshop in Istanbul between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Naples, from Stuttgart to Naples, from Naples to Split, from Reykjavik to Stuttgart, from Stuttgart to Split, from Istanbul to Riga, from Istanbul to Bucharest, from Stuttgart to Istanbul, from Istanbul to Naples, from Riga to Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-5:** Visit Stuttgart for 2 days.\n**Day 5:** Fly from Stuttgart to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Split.\n**Day 17-18:** Visit Split for 2 days.",
    "id": "trip_planning_example_948",
    "estimated_output_tokens": 4477,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 4 - 5.\n* City: Istanbul, Fixed Schedule: Day 5 - 9.\n\nCities needing arrangement:\n* City: Naples, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Bucharest, Riga, Split, Reykjavik] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Naples is Day 5. The arrival day of Stuttgart is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Bucharest is Day 3. The arrival day of Stuttgart is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Riga, Split, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 4 - 5).\n   |- The departure day of Naples is Day 7. The arrival day of Stuttgart is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Riga is Day 3. The arrival day of Stuttgart is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Split, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 4 - 5).\n   |- The departure day of Bucharest is Day 5. The arrival day of Stuttgart is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Split is Day 2. The arrival day of Stuttgart is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Riga, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 5).\n |- The departure day of Reykjavik is Day 4. The arrival day of Stuttgart is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 9).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stuttgart to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Stuttgart, Istanbul].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Riga, Split] and explore these options in order.\n       |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Istanbul to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Istanbul, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga, Split] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Naples to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Stuttgart, Istanbul, Naples, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Istanbul to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Stuttgart, Istanbul, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Riga, Split] and explore these options in order.\n         |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Bucharest to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Stuttgart, Istanbul, Bucharest, Naples].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Split] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Naples to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Naples to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Stuttgart, Istanbul, Bucharest, Naples, Split].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Split to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Bucharest to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Bucharest to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Istanbul to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Stuttgart, Istanbul, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Split] and explore these options in order.\n         |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Istanbul, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Split] and explore these options in order.\n           |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Bucharest to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Stuttgart, Istanbul, Riga, Bucharest, Naples].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Naples to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Reykjavik, Stuttgart, Istanbul, Riga, Bucharest, Naples, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-5:** Visit Stuttgart for 2 days.\n**Day 5:** Fly from Stuttgart to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Split.\n**Day 17-18:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Istanbul**Tallinn**Brussels**Nice**London**Split",
    "ground_truth_durations": "3**4**4**5**5**2**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Nice"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Istanbul",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You plan to stay in Split for 2 days. You want to spend 3 days in Copenhagen. During day 1 and day 3, you have to attend a conference in Copenhagen. You plan to stay in Brussels for 5 days. You would like to visit London for 2 days. You want to spend 4 days in Tallinn. From day 6 to day 9, there is a annual show you want to attend in Tallinn. You would like to visit Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nIstanbul and Nice, London and Split, Brussels and London, Copenhagen and London, Nice and London, Tallinn and Brussels, Copenhagen and Tallinn, Copenhagen and Split, Copenhagen and Brussels, Copenhagen and Istanbul, from Istanbul to Tallinn, Brussels and Nice, Copenhagen and Nice, Istanbul and Brussels, Istanbul and London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You plan to stay in Split for 2 days. You want to spend 3 days in Copenhagen. During day 1 and day 3, you have to attend a conference in Copenhagen. You plan to stay in Brussels for 5 days. You would like to visit London for 2 days. You want to spend 4 days in Tallinn. From day 6 to day 9, there is a annual show you want to attend in Tallinn. You would like to visit Istanbul for 4 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Nice, from London to Split, from Brussels to London, from Copenhagen to London, from Nice to London, from Tallinn to Brussels, from Copenhagen to Tallinn, from Copenhagen to Split, from Copenhagen to Brussels, from Copenhagen to Istanbul, from Istanbul to Tallinn, from Brussels to Nice, from Copenhagen to Nice, from Istanbul to Brussels, from Istanbul to London.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to London.\n**Day 17-18:** Visit London for 2 days.\n**Day 18:** Fly from London to Split.\n**Day 18-19:** Visit Split for 2 days.",
    "id": "trip_planning_example_949",
    "estimated_output_tokens": 3071,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Istanbul, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Fixed Schedule: Day 6 - 9.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 9).\n |- The departure day of Copenhagen is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Split, Brussels, London, Istanbul] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 9).\n   |- The departure day of Nice is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Copenhagen to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 9).\n   |- The departure day of Split is Day 4. The arrival day of Tallinn is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Copenhagen, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Brussels, London, Istanbul] and explore these options in order.\n     |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Split to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Split to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 9).\n   |- The departure day of Brussels is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Copenhagen to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 9).\n   |- The departure day of London is Day 4. The arrival day of Tallinn is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Copenhagen, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Split, Brussels, Istanbul] and explore these options in order.\n     |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from London to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 9).\n     |- The departure day of Split is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Copenhagen, London, Split].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Brussels, Istanbul] and explore these options in order.\n       |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Split to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Split to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Split to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from London to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 9).\n   |- The departure day of Istanbul is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Split, Brussels, London] and explore these options in order.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Tallinn to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Istanbul, Tallinn, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Split, London] and explore these options in order.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Istanbul, Tallinn, Brussels, Nice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, London] and explore these options in order.\n           |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Nice to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Nice to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Istanbul, Tallinn, Brussels, Nice, London].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from London to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Copenhagen, Istanbul, Tallinn, Brussels, Nice, London, Split].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Tallinn.\n**Day 6-9:** Visit Tallinn for 4 days.\n**Day 9:** Fly from Tallinn to Brussels.\n**Day 9-13:** Visit Brussels for 5 days.\n**Day 13:** Fly from Brussels to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to London.\n**Day 17-18:** Visit London for 2 days.\n**Day 18:** Fly from London to Split.\n**Day 18-19:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Mykonos**Nice**Riga**Bucharest**Munich**Krakow",
    "ground_truth_durations": "4**3**3**3**4**4**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Riga"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Nice",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Rome",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 3 days. You are going to attend a wedding in Mykonos between day 4 and day 6. You plan to stay in Riga for 3 days. You plan to stay in Munich for 4 days. You plan to stay in Bucharest for 4 days. You would like to visit Rome for 4 days. During day 1 and day 4, you have to attend a conference in Rome. You would like to visit Nice for 3 days. You would like to visit Krakow for 2 days. From day 16 to day 17, there is a annual show you want to attend in Krakow.\n\nHere are the cities that have direct flights:\nNice and Riga, Bucharest and Munich, Mykonos and Munich, Riga and Bucharest, Rome and Nice, Rome and Munich, Mykonos and Nice, Rome and Mykonos, Munich and Krakow, Rome and Bucharest, Nice and Munich, from Riga to Munich, from Rome to Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 3 days. You are going to attend a wedding in Mykonos between day 4 and day 6. You plan to stay in Riga for 3 days. You plan to stay in Munich for 4 days. You plan to stay in Bucharest for 4 days. You would like to visit Rome for 4 days. During day 1 and day 4, you have to attend a conference in Rome. You would like to visit Nice for 3 days. You would like to visit Krakow for 2 days. From day 16 to day 17, there is a annual show you want to attend in Krakow.\n\nHere are the cities that have direct flights:\nfrom Nice to Riga, from Bucharest to Munich, from Mykonos to Munich, from Riga to Bucharest, from Rome to Nice, from Rome to Munich, from Mykonos to Nice, from Rome to Mykonos, from Munich to Krakow, from Rome to Bucharest, from Nice to Munich, from Riga to Munich, from Rome to Riga.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Mykonos.\n**Day 4-6:** Visit Mykonos for 3 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-8:** Visit Nice for 3 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Krakow.\n**Day 16-17:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_950",
    "estimated_output_tokens": 2550,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Riga, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Nice, Duration: 3 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Fixed Schedule: Day 4 - 6.\n* City: Krakow, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 6).\n |- The departure day of Rome is Day 4. The arrival day of Mykonos is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Mykonos.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 16 - 17).\n   |- The departure day of Mykonos is Day 6. The arrival day of Krakow is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Mykonos].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Munich, Bucharest, Nice] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Mykonos to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 16 - 17).\n     |- The departure day of Munich is Day 9. The arrival day of Krakow is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Mykonos, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest, Nice] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Mykonos to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 16 - 17).\n     |- The departure day of Nice is Day 8. The arrival day of Krakow is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Mykonos, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Munich, Bucharest] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Nice to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 16 - 17).\n       |- The departure day of Riga is Day 10. The arrival day of Krakow is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Rome, Mykonos, Nice, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Bucharest] and explore these options in order.\n         |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Riga to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 16 - 17).\n         |- The departure day of Munich is Day 13. The arrival day of Krakow is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Mykonos, Nice, Riga, Munich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Munich to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 16 - 17).\n         |- The departure day of Bucharest is Day 13. The arrival day of Krakow is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Mykonos, Nice, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n           |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Bucharest to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 16 - 17).\n           |- The departure day of Munich is Day 16. The arrival day of Krakow is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Rome, Mykonos, Nice, Riga, Bucharest, Munich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Munich to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Rome, Mykonos, Nice, Riga, Bucharest, Munich, Krakow].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Rome and visit Rome for 4 days.\n**Day 4:** Fly from Rome to Mykonos.\n**Day 4-6:** Visit Mykonos for 3 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-8:** Visit Nice for 3 days.\n**Day 8:** Fly from Nice to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Bucharest.\n**Day 10-13:** Visit Bucharest for 4 days.\n**Day 13:** Fly from Bucharest to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Krakow.\n**Day 16-17:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Reykjavik**Amsterdam**London**Bucharest**Manchester**Dubrovnik",
    "ground_truth_durations": "3**3**2**2**4**3**2",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "London"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You would like to meet your friends at Bucharest between day 7 and day 10 to tour together. You plan to stay in London for 2 days. You plan to stay in Amsterdam for 2 days. You are going to attend a wedding in Amsterdam between day 5 and day 6. You would like to visit Manchester for 3 days. You want to meet a friend in Manchester between day 10 and day 12. You plan to stay in Dubrovnik for 2 days. You would like to visit Reykjavik for 3 days. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nBrussels and London, Brussels and Manchester, Reykjavik and Amsterdam, Brussels and Reykjavik, Amsterdam and London, Amsterdam and Manchester, Manchester and Dubrovnik, Reykjavik and London, London and Manchester, London and Bucharest, Bucharest and Manchester, Amsterdam and Bucharest, Amsterdam and Dubrovnik, Brussels and Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You would like to meet your friends at Bucharest between day 7 and day 10 to tour together. You plan to stay in London for 2 days. You plan to stay in Amsterdam for 2 days. You are going to attend a wedding in Amsterdam between day 5 and day 6. You would like to visit Manchester for 3 days. You want to meet a friend in Manchester between day 10 and day 12. You plan to stay in Dubrovnik for 2 days. You would like to visit Reykjavik for 3 days. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to London, from Brussels to Manchester, from Reykjavik to Amsterdam, from Brussels to Reykjavik, from Amsterdam to London, from Amsterdam to Manchester, from Manchester to Dubrovnik, from Reykjavik to London, from London to Manchester, from London to Bucharest, from Bucharest to Manchester, from Amsterdam to Bucharest, from Amsterdam to Dubrovnik, from Brussels to Bucharest.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Reykjavik.\n**Day 3-5:** Visit Reykjavik for 3 days.\n**Day 5:** Fly from Reykjavik to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Dubrovnik.\n**Day 12-13:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_951",
    "estimated_output_tokens": 3498,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: London, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Dubrovnik, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 5 - 6.\n* City: Bucharest, Fixed Schedule: Day 7 - 10.\n* City: Manchester, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Dubrovnik, Reykjavik, Brussels] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 6).\n |- The departure day of London is Day 2. The arrival day of Amsterdam is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik, Brussels] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 6).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Amsterdam is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Brussels] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 6).\n |- The departure day of Reykjavik is Day 3. The arrival day of Amsterdam is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Dubrovnik, Brussels] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 6).\n   |- The departure day of London is Day 4. The arrival day of Amsterdam is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Reykjavik, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from London to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 6).\n |- The departure day of Brussels is Day 3. The arrival day of Amsterdam is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Dubrovnik, Reykjavik] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 6).\n   |- The departure day of London is Day 4. The arrival day of Amsterdam is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from London to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 6).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Reykjavik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 10).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Bucharest is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Brussels, Reykjavik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit London from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Amsterdam to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 7 - 10).\n       |- The departure day of London is Day 7. The arrival day of Bucharest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Brussels, Reykjavik, Amsterdam, London].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from London to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 10 - 12).\n         |- The departure day of Bucharest is Day 10. The arrival day of Manchester is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Brussels, Reykjavik, Amsterdam, London, Bucharest].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Bucharest to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Brussels, Reykjavik, Amsterdam, London, Bucharest, Manchester].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Manchester to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Brussels, Reykjavik, Amsterdam, London, Bucharest, Manchester, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Reykjavik.\n**Day 3-5:** Visit Reykjavik for 3 days.\n**Day 5:** Fly from Reykjavik to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Manchester.\n**Day 10-12:** Visit Manchester for 3 days.\n**Day 12:** Fly from Manchester to Dubrovnik.\n**Day 12-13:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Prague**Tallinn**Stockholm**Vienna**Rome**Budapest",
    "ground_truth_durations": "2**3**3**4**2**4**2",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Budapest"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Krakow",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 6 and day 9. You would like to visit Tallinn for 3 days. You would like to meet your friends at Tallinn between day 4 and day 6 to tour together. You want to spend 4 days in Rome. You are going to attend a wedding in Rome between day 10 and day 13. You would like to visit Budapest for 2 days. You want to spend 3 days in Prague. You plan to stay in Krakow for 2 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nPrague and Budapest, Vienna and Rome, Prague and Stockholm, Prague and Tallinn, Stockholm and Vienna, Tallinn and Stockholm, Vienna and Budapest, Krakow and Vienna, Prague and Vienna, Prague and Rome, Rome and Budapest, Krakow and Stockholm, Stockholm and Rome, Krakow and Prague.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 6 and day 9. You would like to visit Tallinn for 3 days. You would like to meet your friends at Tallinn between day 4 and day 6 to tour together. You want to spend 4 days in Rome. You are going to attend a wedding in Rome between day 10 and day 13. You would like to visit Budapest for 2 days. You want to spend 3 days in Prague. You plan to stay in Krakow for 2 days. You would like to visit Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Budapest, from Vienna to Rome, from Prague to Stockholm, from Prague to Tallinn, from Stockholm to Vienna, from Tallinn to Stockholm, from Vienna to Budapest, from Krakow to Vienna, from Prague to Vienna, from Prague to Rome, from Rome to Budapest, from Krakow to Stockholm, from Stockholm to Rome, from Krakow to Prague.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Tallinn.\n**Day 4-6:** Visit Tallinn for 3 days.\n**Day 6:** Fly from Tallinn to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.",
    "id": "trip_planning_example_952",
    "estimated_output_tokens": 2947,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Budapest, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 4 - 6.\n* City: Stockholm, Fixed Schedule: Day 6 - 9.\n* City: Rome, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Budapest, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Prague, Krakow, Vienna] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Budapest is Day 2. The arrival day of Tallinn is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Krakow, Vienna] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Budapest to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Budapest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Budapest to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Prague is Day 3. The arrival day of Tallinn is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Krakow, Vienna] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 4 - 6).\n   |- The departure day of Budapest is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Budapest to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 4 - 6).\n   |- The departure day of Vienna is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Krakow is Day 2. The arrival day of Tallinn is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Prague, Vienna] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 4 - 6).\n   |- The departure day of Prague is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 6 - 9).\n     |- The departure day of Tallinn is Day 6. The arrival day of Stockholm is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Krakow, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Tallinn to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 10 - 13).\n       |- The departure day of Stockholm is Day 9. The arrival day of Rome is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Krakow, Prague, Tallinn, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Vienna] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Stockholm to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Stockholm to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 10 - 13).\n         |- The departure day of Vienna is Day 10. The arrival day of Rome is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Krakow, Prague, Tallinn, Stockholm, Vienna].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Rome.\n           |- Try arranging to visit Rome from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Vienna to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Krakow, Prague, Tallinn, Stockholm, Vienna, Rome].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Rome to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Krakow, Prague, Tallinn, Stockholm, Vienna, Rome, Budapest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Tallinn.\n**Day 4-6:** Visit Tallinn for 3 days.\n**Day 6:** Fly from Tallinn to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Stuttgart**Stockholm**Barcelona**Florence**Frankfurt**Salzburg",
    "ground_truth_durations": "5**3**2**2**4**4**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Salzburg. You want to spend 2 days in Stockholm. You would like to visit Venice for 5 days. From day 1 to day 5, there is a annual show you want to attend in Venice. You plan to stay in Frankfurt for 4 days. You want to spend 4 days in Florence. You plan to stay in Barcelona for 2 days. You would like to visit Stuttgart for 3 days.\n\nHere are the cities that have direct flights:\nBarcelona and Frankfurt, Florence and Frankfurt, Stockholm and Barcelona, Barcelona and Florence, Venice and Barcelona, Stuttgart and Barcelona, Frankfurt and Salzburg, Stockholm and Frankfurt, Stuttgart and Stockholm, Stuttgart and Frankfurt, Venice and Stuttgart, Venice and Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Salzburg. You want to spend 2 days in Stockholm. You would like to visit Venice for 5 days. From day 1 to day 5, there is a annual show you want to attend in Venice. You plan to stay in Frankfurt for 4 days. You want to spend 4 days in Florence. You plan to stay in Barcelona for 2 days. You would like to visit Stuttgart for 3 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Frankfurt, from Florence to Frankfurt, from Stockholm to Barcelona, from Barcelona to Florence, from Venice to Barcelona, from Stuttgart to Barcelona, from Frankfurt to Salzburg, from Stockholm to Frankfurt, from Stuttgart to Stockholm, from Stuttgart to Frankfurt, from Venice to Stuttgart, from Venice to Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.\n**Day 7:** Fly from Stuttgart to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Barcelona.\n**Day 8-9:** Visit Barcelona for 2 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Salzburg.\n**Day 15-18:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_953",
    "estimated_output_tokens": 5450,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Frankfurt, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 5.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Frankfurt, Florence, Barcelona, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Florence, Barcelona, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Frankfurt, Salzburg].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Barcelona, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Salzburg to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Salzburg to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Salzburg to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Salzburg to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Frankfurt to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Frankfurt, Florence, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Barcelona, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Florence, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Frankfurt to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Venice, Barcelona, Frankfurt, Salzburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Salzburg to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Salzburg to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Salzburg to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Frankfurt to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Frankfurt to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Barcelona, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Frankfurt, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Florence to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Venice, Barcelona, Florence, Frankfurt].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Frankfurt to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Venice, Barcelona, Florence, Frankfurt, Salzburg].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Salzburg to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Salzburg to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Frankfurt to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Frankfurt to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Barcelona to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Frankfurt, Florence, Barcelona] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stuttgart to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stuttgart to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Stuttgart, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Florence, Barcelona] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stockholm to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stockholm to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Stuttgart, Stockholm, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Florence, Barcelona] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Stuttgart, Stockholm, Frankfurt, Salzburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Salzburg to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Salzburg to Barcelona.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Frankfurt to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stockholm to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stockholm to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Stuttgart, Stockholm, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Florence] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Barcelona to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Barcelona to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Stuttgart, Stockholm, Barcelona, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Florence] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Stuttgart, Stockholm, Barcelona, Frankfurt, Salzburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Salzburg to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Barcelona to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Stuttgart, Stockholm, Barcelona, Florence].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Florence to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Florence to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Stuttgart, Stockholm, Barcelona, Florence, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Stuttgart, Stockholm, Barcelona, Florence, Frankfurt, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.\n**Day 7:** Fly from Stuttgart to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Barcelona.\n**Day 8-9:** Visit Barcelona for 2 days.\n**Day 9:** Fly from Barcelona to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Salzburg.\n**Day 15-18:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Paris**Berlin**Munich**Stockholm**Riga**Hamburg",
    "ground_truth_durations": "3**5**3**3**5**4**4",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Munich"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Berlin",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 9 and day 11. You would like to visit Hamburg for 4 days. You want to spend 3 days in Lyon. You would like to visit Stockholm for 5 days. You would like to visit Berlin for 3 days. You have to attend a workshop in Berlin between day 7 and day 9. You would like to visit Riga for 4 days. During day 15 and day 18, you have to attend a conference in Riga. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Munich, Munich and Hamburg, Lyon and Munich, Berlin and Stockholm, Paris and Riga, Paris and Munich, Stockholm and Riga, Munich and Stockholm, Paris and Berlin, from Riga to Hamburg, Paris and Hamburg, Paris and Stockholm, Lyon and Paris, Stockholm and Hamburg, from Riga to Munich, Berlin and Riga.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 9 and day 11. You would like to visit Hamburg for 4 days. You want to spend 3 days in Lyon. You would like to visit Stockholm for 5 days. You would like to visit Berlin for 3 days. You have to attend a workshop in Berlin between day 7 and day 9. You would like to visit Riga for 4 days. During day 15 and day 18, you have to attend a conference in Riga. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Munich, from Munich to Hamburg, from Lyon to Munich, from Berlin to Stockholm, from Paris to Riga, from Paris to Munich, from Stockholm to Riga, from Munich to Stockholm, from Paris to Berlin, from Riga to Hamburg, from Paris to Hamburg, from Paris to Stockholm, from Lyon to Paris, from Stockholm to Hamburg, from Riga to Munich, from Berlin to Riga.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Munich.\n**Day 9-11:** Visit Munich for 3 days.\n**Day 11:** Fly from Munich to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Riga.\n**Day 15-18:** Visit Riga for 4 days.\n**Day 18:** Fly from Riga to Hamburg.\n**Day 18-21:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_954",
    "estimated_output_tokens": 2411,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Hamburg, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 7 - 9.\n* City: Munich, Fixed Schedule: Day 9 - 11.\n* City: Riga, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Stockholm, Paris] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 9).\n |- The departure day of Hamburg is Day 4. The arrival day of Berlin is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Stockholm, Paris] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Hamburg to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Hamburg to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 9).\n |- The departure day of Lyon is Day 3. The arrival day of Berlin is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Stockholm, Paris] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 7 - 9).\n   |- The departure day of Paris is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 9 - 11).\n     |- The departure day of Berlin is Day 9. The arrival day of Munich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 15 - 18).\n       |- The departure day of Munich is Day 11. The arrival day of Riga is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Paris, Berlin, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Stockholm] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Munich to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 18).\n         |- The departure day of Hamburg is Day 14. The arrival day of Riga is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Paris, Berlin, Munich, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Hamburg to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Munich to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 18).\n         |- The departure day of Stockholm is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Lyon, Paris, Berlin, Munich, Stockholm].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Stockholm to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Lyon, Paris, Berlin, Munich, Stockholm, Riga].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Riga to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lyon, Paris, Berlin, Munich, Stockholm, Riga, Hamburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Munich.\n**Day 9-11:** Visit Munich for 3 days.\n**Day 11:** Fly from Munich to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Riga.\n**Day 15-18:** Visit Riga for 4 days.\n**Day 18:** Fly from Riga to Hamburg.\n**Day 18-21:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Lyon**Venice**Munich**Zurich**London**Geneva",
    "ground_truth_durations": "4**5**5**4**5**2**2",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Geneva"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "Split",
        "London"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Lyon",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 4 days. You would like to visit London for 2 days. You want to meet a friend in London between day 19 and day 20. You want to spend 5 days in Venice. You plan to visit relatives in Venice between day 8 and day 12. You want to spend 4 days in Split. You want to spend 2 days in Geneva. You want to spend 5 days in Zurich. During day 15 and day 19, you have to attend a conference in Zurich. You plan to stay in Lyon for 5 days.\n\nHere are the cities that have direct flights:\nMunich and Geneva, Zurich and Geneva, Split and Lyon, Zurich and London, London and Geneva, Venice and London, Munich and London, Split and London, Munich and Zurich, Lyon and Munich, Split and Zurich, Lyon and Venice, Venice and Munich, Venice and Zurich, Split and Geneva, Split and Munich, Lyon and London.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 4 days. You would like to visit London for 2 days. You want to meet a friend in London between day 19 and day 20. You want to spend 5 days in Venice. You plan to visit relatives in Venice between day 8 and day 12. You want to spend 4 days in Split. You want to spend 2 days in Geneva. You want to spend 5 days in Zurich. During day 15 and day 19, you have to attend a conference in Zurich. You plan to stay in Lyon for 5 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Geneva, from Zurich to Geneva, from Split to Lyon, from Zurich to London, from London to Geneva, from Venice to London, from Munich to London, from Split to London, from Munich to Zurich, from Lyon to Munich, from Split to Zurich, from Lyon to Venice, from Venice to Munich, from Venice to Zurich, from Split to Geneva, from Split to Munich, from Lyon to London.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Venice.\n**Day 8-12:** Visit Venice for 5 days.\n**Day 12:** Fly from Venice to Munich.\n**Day 12-15:** Visit Munich for 4 days.\n**Day 15:** Fly from Munich to Zurich.\n**Day 15-19:** Visit Zurich for 5 days.\n**Day 19:** Fly from Zurich to London.\n**Day 19-20:** Visit London for 2 days.\n**Day 20:** Fly from London to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_955",
    "estimated_output_tokens": 3097,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 4 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Split, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Lyon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 12.\n* City: Zurich, Fixed Schedule: Day 15 - 19.\n* City: London, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Split, Geneva, Lyon] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 12).\n |- The departure day of Munich is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Lyon] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Munich to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 12).\n   |- The departure day of Geneva is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Geneva to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 12).\n |- The departure day of Split is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Geneva, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Split to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 12).\n   |- The departure day of Munich is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Lyon] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Munich to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 12).\n   |- The departure day of Geneva is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Lyon] and explore these options in order.\n     |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Geneva to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Split to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 12).\n   |- The departure day of Lyon is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Lyon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 15 - 19).\n     |- The departure day of Venice is Day 12. The arrival day of Zurich is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Split, Lyon, Venice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Geneva] and explore these options in order.\n       |- Try arranging to visit Munich from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Venice to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Zurich (Day 15 - 19).\n       |- The departure day of Munich is Day 15. The arrival day of Zurich is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Split, Lyon, Venice, Munich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Munich to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: London (Day 19 - 20).\n         |- The departure day of Zurich is Day 19. The arrival day of London is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Split, Lyon, Venice, Munich, Zurich].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- Yes. The city with an arrival day of Day 19 - is fixed: London.\n           |- Try arranging to visit London from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Zurich to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Split, Lyon, Venice, Munich, Zurich, London].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from London to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Split, Lyon, Venice, Munich, Zurich, London, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Venice.\n**Day 8-12:** Visit Venice for 5 days.\n**Day 12:** Fly from Venice to Munich.\n**Day 12-15:** Visit Munich for 4 days.\n**Day 15:** Fly from Munich to Zurich.\n**Day 15-19:** Visit Zurich for 5 days.\n**Day 19:** Fly from Zurich to London.\n**Day 19-20:** Visit London for 2 days.\n**Day 20:** Fly from London to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Madrid**Budapest**Reykjavik**Warsaw**Venice**Santorini",
    "ground_truth_durations": "2**3**2**5**5**3**2",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 13 and day 15. You want to spend 5 days in Warsaw. You would like to visit Santorini for 2 days. During day 15 and day 16, you have to attend a conference in Santorini. You would like to visit Madrid for 3 days. You want to spend 5 days in Reykjavik. You would like to visit Budapest for 2 days. You would like to visit Florence for 2 days. From day 1 to day 2, there is a annual show you want to attend in Florence.\n\nHere are the cities that have direct flights:\nMadrid and Santorini, Reykjavik and Warsaw, from Reykjavik to Madrid, Budapest and Warsaw, Venice and Santorini, Madrid and Venice, Madrid and Budapest, Florence and Madrid, Madrid and Warsaw, Budapest and Reykjavik, Warsaw and Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 13 and day 15. You want to spend 5 days in Warsaw. You would like to visit Santorini for 2 days. During day 15 and day 16, you have to attend a conference in Santorini. You would like to visit Madrid for 3 days. You want to spend 5 days in Reykjavik. You would like to visit Budapest for 2 days. You would like to visit Florence for 2 days. From day 1 to day 2, there is a annual show you want to attend in Florence.\n\nHere are the cities that have direct flights:\nfrom Madrid to Santorini, from Reykjavik to Warsaw, from Reykjavik to Madrid, from Budapest to Warsaw, from Venice to Santorini, from Madrid to Venice, from Madrid to Budapest, from Florence to Madrid, from Madrid to Warsaw, from Budapest to Reykjavik, from Warsaw to Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Madrid.\n**Day 2-4:** Visit Madrid for 3 days.\n**Day 4:** Fly from Madrid to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Warsaw.\n**Day 9-13:** Visit Warsaw for 5 days.\n**Day 13:** Fly from Warsaw to Venice.\n**Day 13-15:** Visit Venice for 3 days.\n**Day 15:** Fly from Venice to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_956",
    "estimated_output_tokens": 2478,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Warsaw, Duration: 5 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Madrid, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 13 - 15.\n* City: Santorini, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Madrid, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 13 - 15).\n |- The departure day of Florence is Day 2. The arrival day of Venice is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Madrid, Reykjavik, Budapest] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 13 - 15).\n   |- The departure day of Madrid is Day 4. The arrival day of Venice is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Reykjavik, Budapest] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Madrid to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 13 - 15).\n     |- The departure day of Warsaw is Day 8. The arrival day of Venice is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Madrid, Warsaw].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Budapest] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Warsaw to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Warsaw to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Madrid to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Madrid to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 13 - 15).\n     |- The departure day of Budapest is Day 5. The arrival day of Venice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Florence, Madrid, Budapest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Budapest to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 13 - 15).\n       |- The departure day of Warsaw is Day 9. The arrival day of Venice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Madrid, Budapest, Warsaw].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Warsaw to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Budapest to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 13 - 15).\n       |- The departure day of Reykjavik is Day 9. The arrival day of Venice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Madrid, Budapest, Reykjavik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 13 - 15).\n         |- The departure day of Warsaw is Day 13. The arrival day of Venice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Madrid, Budapest, Reykjavik, Warsaw].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Warsaw to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 15 - 16).\n           |- The departure day of Venice is Day 15. The arrival day of Santorini is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Florence, Madrid, Budapest, Reykjavik, Warsaw, Venice].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Venice to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Madrid, Budapest, Reykjavik, Warsaw, Venice, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Madrid.\n**Day 2-4:** Visit Madrid for 3 days.\n**Day 4:** Fly from Madrid to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Warsaw.\n**Day 9-13:** Visit Warsaw for 5 days.\n**Day 13:** Fly from Warsaw to Venice.\n**Day 13-15:** Visit Venice for 3 days.\n**Day 15:** Fly from Venice to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Naples**Oslo**Stockholm**Riga**Frankfurt**Salzburg",
    "ground_truth_durations": "5**3**3**3**5**5**4",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Valencia",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 4 days. You want to spend 5 days in Frankfurt. You want to spend 3 days in Naples. From day 5 to day 7, there is a annual show you want to attend in Naples. You plan to stay in Oslo for 3 days. You would like to visit Riga for 5 days. You plan to stay in Valencia for 5 days. You would like to visit Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 9 and day 11.\n\nHere are the cities that have direct flights:\nNaples and Frankfurt, Naples and Oslo, Stockholm and Frankfurt, Frankfurt and Salzburg, Oslo and Frankfurt, Stockholm and Riga, Riga and Frankfurt, Oslo and Riga, Oslo and Stockholm, Valencia and Naples, Valencia and Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 4 days. You want to spend 5 days in Frankfurt. You want to spend 3 days in Naples. From day 5 to day 7, there is a annual show you want to attend in Naples. You plan to stay in Oslo for 3 days. You would like to visit Riga for 5 days. You plan to stay in Valencia for 5 days. You would like to visit Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 9 and day 11.\n\nHere are the cities that have direct flights:\nfrom Naples to Frankfurt, from Naples to Oslo, from Stockholm to Frankfurt, from Frankfurt to Salzburg, from Oslo to Frankfurt, from Stockholm to Riga, from Riga to Frankfurt, from Oslo to Riga, from Oslo to Stockholm, from Valencia to Naples, from Valencia to Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Stockholm.\n**Day 9-11:** Visit Stockholm for 3 days.\n**Day 11:** Fly from Stockholm to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_957",
    "estimated_output_tokens": 3780,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Oslo, Duration: 3 days.\n* City: Riga, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 5 - 7.\n* City: Stockholm, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Riga, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Oslo, Riga, Valencia] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 7).\n |- The departure day of Salzburg is Day 4. The arrival day of Naples is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Oslo, Riga, Valencia] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Salzburg to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 7).\n |- The departure day of Frankfurt is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Frankfurt to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 7).\n |- The departure day of Oslo is Day 3. The arrival day of Naples is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Riga, Valencia] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 7).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Naples is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 7).\n   |- The departure day of Riga is Day 7. The arrival day of Naples is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 7).\n |- The departure day of Riga is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Riga to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 7).\n |- The departure day of Valencia is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 9 - 11).\n   |- The departure day of Naples is Day 7. The arrival day of Stockholm is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Oslo, Riga] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Naples to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Naples to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 9 - 11).\n     |- The departure day of Frankfurt is Day 11. The arrival day of Stockholm is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Naples to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 9 - 11).\n     |- The departure day of Oslo is Day 9. The arrival day of Stockholm is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Naples, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Oslo to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Naples, Oslo, Stockholm].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Riga] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stockholm to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Stockholm to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Naples, Oslo, Stockholm, Frankfurt].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Riga] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Valencia, Naples, Oslo, Stockholm, Frankfurt, Salzburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Salzburg to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Frankfurt to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Stockholm to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Naples, Oslo, Stockholm, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Riga to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Naples, Oslo, Stockholm, Riga, Frankfurt].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Valencia, Naples, Oslo, Stockholm, Riga, Frankfurt, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Stockholm.\n**Day 9-11:** Visit Stockholm for 3 days.\n**Day 11:** Fly from Stockholm to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Porto**Amsterdam**Mykonos**London**Zurich**Vilnius",
    "ground_truth_durations": "3**3**2**2**5**5**2",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "London"
      ],
      [
        "Mykonos",
        "London"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Frankfurt",
        "Amsterdam"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You plan to visit relatives in Zurich between day 11 and day 15. You would like to visit Vilnius for 2 days. You want to spend 3 days in Frankfurt. You want to spend 3 days in Porto. You are going to attend a wedding in Porto between day 3 and day 5. You would like to visit Mykonos for 2 days. You plan to stay in London for 5 days. You would like to meet your friends at London between day 7 and day 11 to tour together. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nAmsterdam and London, Mykonos and London, Frankfurt and London, Frankfurt and Amsterdam, Porto and Zurich, Frankfurt and Zurich, Zurich and Vilnius, Frankfurt and Porto, Porto and Amsterdam, Mykonos and Zurich, Amsterdam and Mykonos, Amsterdam and Vilnius, London and Zurich, Amsterdam and Zurich, Frankfurt and Vilnius.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You plan to visit relatives in Zurich between day 11 and day 15. You would like to visit Vilnius for 2 days. You want to spend 3 days in Frankfurt. You want to spend 3 days in Porto. You are going to attend a wedding in Porto between day 3 and day 5. You would like to visit Mykonos for 2 days. You plan to stay in London for 5 days. You would like to meet your friends at London between day 7 and day 11 to tour together. You want to spend 2 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to London, from Mykonos to London, from Frankfurt to London, from Frankfurt to Amsterdam, from Porto to Zurich, from Frankfurt to Zurich, from Zurich to Vilnius, from Frankfurt to Porto, from Porto to Amsterdam, from Mykonos to Zurich, from Amsterdam to Mykonos, from Amsterdam to Vilnius, from London to Zurich, from Amsterdam to Zurich, from Frankfurt to Vilnius.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Porto.\n**Day 3-5:** Visit Porto for 3 days.\n**Day 5:** Fly from Porto to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to London.\n**Day 7-11:** Visit London for 5 days.\n**Day 11:** Fly from London to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Vilnius.\n**Day 15-16:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_958",
    "estimated_output_tokens": 2481,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Vilnius, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Mykonos, Duration: 2 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 3 - 5.\n* City: London, Fixed Schedule: Day 7 - 11.\n* City: Zurich, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Mykonos, Amsterdam] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 5).\n |- The departure day of Vilnius is Day 2. The arrival day of Porto is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Mykonos, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Amsterdam.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 5).\n |- The departure day of Frankfurt is Day 3. The arrival day of Porto is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 7 - 11).\n   |- The departure day of Porto is Day 5. The arrival day of London is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Frankfurt, Porto].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Porto to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Porto to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Porto to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 7 - 11).\n     |- The departure day of Amsterdam is Day 6. The arrival day of London is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Frankfurt, Porto, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 7 - 11).\n       |- The departure day of Vilnius is Day 7. The arrival day of London is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Frankfurt, Porto, Amsterdam, Vilnius].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: London.\n         |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Vilnius to London.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Amsterdam to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 7 - 11).\n       |- The departure day of Mykonos is Day 7. The arrival day of London is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Frankfurt, Porto, Amsterdam, Mykonos].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: London.\n         |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Mykonos to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 11 - 15).\n         |- The departure day of London is Day 11. The arrival day of Zurich is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Frankfurt, Porto, Amsterdam, Mykonos, London].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Zurich.\n           |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from London to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Frankfurt, Porto, Amsterdam, Mykonos, London, Zurich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Zurich to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Frankfurt, Porto, Amsterdam, Mykonos, London, Zurich, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Porto.\n**Day 3-5:** Visit Porto for 3 days.\n**Day 5:** Fly from Porto to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to London.\n**Day 7-11:** Visit London for 5 days.\n**Day 11:** Fly from London to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Vilnius.\n**Day 15-16:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Amsterdam**Riga**Zurich**Valencia**Geneva",
    "ground_truth_durations": "5**3**5**2**2**3**3",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Zurich",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You plan to stay in Salzburg for 5 days. You plan to stay in Amsterdam for 5 days. You plan to visit relatives in Amsterdam between day 7 and day 11. You want to spend 2 days in Zurich. You want to spend 3 days in Istanbul. You plan to stay in Geneva for 3 days. You are going to attend a wedding in Geneva between day 15 and day 17. You would like to visit Riga for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Valencia, Amsterdam and Valencia, Amsterdam and Geneva, Salzburg and Istanbul, Istanbul and Zurich, Zurich and Valencia, Istanbul and Geneva, Riga and Zurich, Amsterdam and Zurich, Istanbul and Amsterdam, Valencia and Geneva, Istanbul and Riga, Amsterdam and Riga, Zurich and Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. You plan to stay in Salzburg for 5 days. You plan to stay in Amsterdam for 5 days. You plan to visit relatives in Amsterdam between day 7 and day 11. You want to spend 2 days in Zurich. You want to spend 3 days in Istanbul. You plan to stay in Geneva for 3 days. You are going to attend a wedding in Geneva between day 15 and day 17. You would like to visit Riga for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Valencia, from Amsterdam to Valencia, from Amsterdam to Geneva, from Salzburg to Istanbul, from Istanbul to Zurich, from Zurich to Valencia, from Istanbul to Geneva, from Riga to Zurich, from Amsterdam to Zurich, from Istanbul to Amsterdam, from Valencia to Geneva, from Istanbul to Riga, from Amsterdam to Riga, from Zurich to Geneva.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n**Day 12:** Fly from Riga to Zurich.\n**Day 12-13:** Visit Zurich for 2 days.\n**Day 13:** Fly from Zurich to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_959",
    "estimated_output_tokens": 3126,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Zurich, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 7 - 11.\n* City: Geneva, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Salzburg, Zurich, Istanbul, Riga] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 7 - 11).\n |- The departure day of Valencia is Day 3. The arrival day of Amsterdam is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Zurich, Istanbul, Riga] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 7 - 11).\n |- The departure day of Salzburg is Day 5. The arrival day of Amsterdam is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich, Istanbul, Riga] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 7 - 11).\n   |- The departure day of Istanbul is Day 7. The arrival day of Amsterdam is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Istanbul to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 15 - 17).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Geneva is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Salzburg, Istanbul, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich, Riga] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Amsterdam to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 15 - 17).\n       |- The departure day of Valencia is Day 13. The arrival day of Geneva is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Salzburg, Istanbul, Amsterdam, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Riga] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Valencia to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Valencia to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Amsterdam to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 15 - 17).\n       |- The departure day of Zurich is Day 12. The arrival day of Geneva is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Istanbul, Amsterdam, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Riga] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 15 - 17).\n         |- The departure day of Valencia is Day 14. The arrival day of Geneva is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Istanbul, Amsterdam, Zurich, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Valencia to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Amsterdam to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 15 - 17).\n       |- The departure day of Riga is Day 12. The arrival day of Geneva is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Istanbul, Amsterdam, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Riga to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Riga to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 15 - 17).\n         |- The departure day of Zurich is Day 13. The arrival day of Geneva is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Salzburg, Istanbul, Amsterdam, Riga, Zurich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Zurich to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 15 - 17).\n           |- The departure day of Valencia is Day 15. The arrival day of Geneva is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Salzburg, Istanbul, Amsterdam, Riga, Zurich, Valencia].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Valencia to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Salzburg, Istanbul, Amsterdam, Riga, Zurich, Valencia, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Riga.\n**Day 11-12:** Visit Riga for 2 days.\n**Day 12:** Fly from Riga to Zurich.\n**Day 12-13:** Visit Zurich for 2 days.\n**Day 13:** Fly from Zurich to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Venice**Munich**Tallinn**Vilnius**Brussels**Florence",
    "ground_truth_durations": "2**3**4**5**2**4**5",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Munich",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You have to attend a workshop in Munich between day 4 and day 7. You want to spend 2 days in Vilnius. You would like to visit London for 2 days. You would like to visit Venice for 3 days. During day 2 and day 4, you have to attend a conference in Venice. You would like to visit Brussels for 4 days. You would like to visit Tallinn for 5 days. You would like to visit Florence for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Tallinn to Vilnius, Vilnius and Brussels, Venice and Munich, Munich and Tallinn, London and Florence, London and Brussels, London and Venice, London and Munich, Brussels and Florence, Tallinn and Brussels, from Florence to Munich, Venice and Brussels, Munich and Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Munich. You have to attend a workshop in Munich between day 4 and day 7. You want to spend 2 days in Vilnius. You would like to visit London for 2 days. You would like to visit Venice for 3 days. During day 2 and day 4, you have to attend a conference in Venice. You would like to visit Brussels for 4 days. You would like to visit Tallinn for 5 days. You would like to visit Florence for 5 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Tallinn to Vilnius, from Vilnius to Brussels, from Venice to Munich, from Munich to Tallinn, from London to Florence, from London to Brussels, from London to Venice, from London to Munich, from Brussels to Florence, from Tallinn to Brussels, from Florence to Munich, from Venice to Brussels, from Munich to Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Brussels.\n**Day 12-15:** Visit Brussels for 4 days.\n**Day 15:** Fly from Brussels to Florence.\n**Day 15-19:** Visit Florence for 5 days.",
    "id": "trip_planning_example_960",
    "estimated_output_tokens": 2485,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Vilnius, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Brussels, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 2 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 7.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Brussels, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, London, Brussels, Tallinn, Florence] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of Vilnius is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of London is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Munich (Day 4 - 7).\n   |- The departure day of Venice is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [London, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Venice to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [London, Venice, Munich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Brussels, Tallinn, Florence] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Munich to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Venice, Munich, Brussels].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Florence] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Brussels to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Brussels to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Brussels to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [London, Venice, Munich, Brussels, Florence].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Florence to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Florence to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Munich to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Venice, Munich, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Brussels, Florence] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [London, Venice, Munich, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Florence] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [London, Venice, Munich, Tallinn, Vilnius, Brussels].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Brussels to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [London, Venice, Munich, Tallinn, Vilnius, Brussels, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Munich.\n**Day 4-7:** Visit Munich for 4 days.\n**Day 7:** Fly from Munich to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Brussels.\n**Day 12-15:** Visit Brussels for 4 days.\n**Day 15:** Fly from Brussels to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Santorini**Vienna**Copenhagen**Dubrovnik**Istanbul**Budapest",
    "ground_truth_durations": "2**4**2**5**3**3**2",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You have to attend a workshop in Vienna between day 5 and day 6. You want to spend 4 days in Santorini. You want to meet a friend in Santorini between day 2 and day 5. You would like to visit Istanbul for 3 days. You want to spend 5 days in Copenhagen. You would like to meet your friends at Copenhagen between day 6 and day 10 to tour together. You want to spend 3 days in Dubrovnik. You want to spend 2 days in Budapest. You would like to visit Venice for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Copenhagen, Santorini and Copenhagen, Copenhagen and Istanbul, Istanbul and Budapest, Vienna and Istanbul, Copenhagen and Budapest, from Dubrovnik to Istanbul, Vienna and Budapest, Venice and Santorini, Copenhagen and Dubrovnik, Santorini and Vienna, Venice and Istanbul, Vienna and Copenhagen, Vienna and Dubrovnik, Venice and Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 2 days. You have to attend a workshop in Vienna between day 5 and day 6. You want to spend 4 days in Santorini. You want to meet a friend in Santorini between day 2 and day 5. You would like to visit Istanbul for 3 days. You want to spend 5 days in Copenhagen. You would like to meet your friends at Copenhagen between day 6 and day 10 to tour together. You want to spend 3 days in Dubrovnik. You want to spend 2 days in Budapest. You would like to visit Venice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Copenhagen, from Santorini to Copenhagen, from Copenhagen to Istanbul, from Istanbul to Budapest, from Vienna to Istanbul, from Copenhagen to Budapest, from Dubrovnik to Istanbul, from Vienna to Budapest, from Venice to Santorini, from Copenhagen to Dubrovnik, from Santorini to Vienna, from Venice to Istanbul, from Vienna to Copenhagen, from Vienna to Dubrovnik, from Venice to Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Santorini.\n**Day 2-5:** Visit Santorini for 4 days.\n**Day 5:** Fly from Santorini to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.",
    "id": "trip_planning_example_961",
    "estimated_output_tokens": 2641,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Istanbul, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Dubrovnik, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 2 - 5.\n* City: Vienna, Fixed Schedule: Day 5 - 6.\n* City: Copenhagen, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Budapest, Venice] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 2 - 5).\n |- The departure day of Istanbul is Day 3. The arrival day of Santorini is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 2 - 5).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Santorini is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 2 - 5).\n |- The departure day of Budapest is Day 2. The arrival day of Santorini is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Budapest to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 2 - 5).\n |- The departure day of Venice is Day 2. The arrival day of Santorini is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vienna (Day 5 - 6).\n   |- The departure day of Santorini is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Santorini to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 6 - 10).\n     |- The departure day of Vienna is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Venice, Santorini, Vienna].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vienna to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Venice, Santorini, Vienna, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Budapest] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Santorini, Vienna, Copenhagen, Istanbul].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Budapest] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Istanbul to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Istanbul to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Venice, Santorini, Vienna, Copenhagen, Istanbul, Budapest].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Budapest to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Santorini, Vienna, Copenhagen, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Budapest] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Dubrovnik to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Venice, Santorini, Vienna, Copenhagen, Dubrovnik, Istanbul].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Istanbul to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Venice, Santorini, Vienna, Copenhagen, Dubrovnik, Istanbul, Budapest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Santorini.\n**Day 2-5:** Visit Santorini for 4 days.\n**Day 5:** Fly from Santorini to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Split**Copenhagen**Reykjavik**Stuttgart**Amsterdam**Mykonos",
    "ground_truth_durations": "3**5**3**3**4**3**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to visit Split for 5 days. You are going to attend a wedding in Split between day 3 and day 7. You plan to stay in Mykonos for 2 days. You plan to stay in Reykjavik for 3 days. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 11 and day 14 to tour together. You plan to stay in Copenhagen for 3 days. You plan to stay in Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nSplit and Stuttgart, Lyon and Split, from Reykjavik to Stuttgart, Reykjavik and Amsterdam, Split and Copenhagen, Amsterdam and Mykonos, Copenhagen and Stuttgart, Stuttgart and Amsterdam, Split and Amsterdam, Lyon and Amsterdam, Copenhagen and Reykjavik, Copenhagen and Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to visit Split for 5 days. You are going to attend a wedding in Split between day 3 and day 7. You plan to stay in Mykonos for 2 days. You plan to stay in Reykjavik for 3 days. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 11 and day 14 to tour together. You plan to stay in Copenhagen for 3 days. You plan to stay in Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nfrom Split to Stuttgart, from Lyon to Split, from Reykjavik to Stuttgart, from Reykjavik to Amsterdam, from Split to Copenhagen, from Amsterdam to Mykonos, from Copenhagen to Stuttgart, from Stuttgart to Amsterdam, from Split to Amsterdam, from Lyon to Amsterdam, from Copenhagen to Reykjavik, from Copenhagen to Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Split.\n**Day 3-7:** Visit Split for 5 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.\n**Day 14:** Fly from Stuttgart to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_962",
    "estimated_output_tokens": 1933,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Mykonos, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Copenhagen, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 3 - 7.\n* City: Stuttgart, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Reykjavik, Copenhagen, Amsterdam] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 3 - 7).\n |- The departure day of Lyon is Day 3. The arrival day of Split is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Split.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 11 - 14).\n   |- The departure day of Split is Day 7. The arrival day of Stuttgart is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Reykjavik, Copenhagen, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Split to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Split to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 11 - 14).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Stuttgart is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Split, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Reykjavik, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Copenhagen to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 11 - 14).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Split, Copenhagen, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Split, Copenhagen, Reykjavik, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stuttgart to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stuttgart to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Split, Copenhagen, Reykjavik, Stuttgart, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Amsterdam to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Split, Copenhagen, Reykjavik, Stuttgart, Amsterdam, Mykonos].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Split.\n**Day 3-7:** Visit Split for 5 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.\n**Day 14:** Fly from Stuttgart to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Edinburgh**Seville**Barcelona**Riga**Vilnius**Helsinki",
    "ground_truth_durations": "4**5**2**4**3**4**5",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Seville",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Riga. You want to spend 5 days in Helsinki. During day 17 and day 21, you have to attend a conference in Helsinki. You want to spend 2 days in Seville. You have to attend a workshop in Seville between day 8 and day 9. You plan to stay in Edinburgh for 5 days. You are going to attend a wedding in Edinburgh between day 4 and day 8. You would like to visit Barcelona for 4 days. You plan to stay in Munich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, Munich and Seville, Edinburgh and Seville, Edinburgh and Barcelona, from Vilnius to Munich, Munich and Helsinki, Vilnius and Helsinki, Barcelona and Helsinki, Riga and Helsinki, Edinburgh and Riga, Munich and Barcelona, Edinburgh and Helsinki, from Riga to Vilnius, Munich and Edinburgh, Barcelona and Riga, Seville and Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 3 days in Riga. You want to spend 5 days in Helsinki. During day 17 and day 21, you have to attend a conference in Helsinki. You want to spend 2 days in Seville. You have to attend a workshop in Seville between day 8 and day 9. You plan to stay in Edinburgh for 5 days. You are going to attend a wedding in Edinburgh between day 4 and day 8. You would like to visit Barcelona for 4 days. You plan to stay in Munich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Munich, from Munich to Seville, from Edinburgh to Seville, from Edinburgh to Barcelona, from Vilnius to Munich, from Munich to Helsinki, from Vilnius to Helsinki, from Barcelona to Helsinki, from Riga to Helsinki, from Edinburgh to Riga, from Munich to Barcelona, from Edinburgh to Helsinki, from Riga to Vilnius, from Munich to Edinburgh, from Barcelona to Riga, from Seville to Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Edinburgh.\n**Day 4-8:** Visit Edinburgh for 5 days.\n**Day 8:** Fly from Edinburgh to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.",
    "id": "trip_planning_example_963",
    "estimated_output_tokens": 2941,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Barcelona, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 4 - 8.\n* City: Seville, Fixed Schedule: Day 8 - 9.\n* City: Helsinki, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Barcelona, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Riga, Barcelona, Munich] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 8).\n |- The departure day of Vilnius is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 8).\n |- The departure day of Riga is Day 3. The arrival day of Edinburgh is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Munich] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Edinburgh (Day 4 - 8).\n   |- The departure day of Vilnius is Day 6. The arrival day of Edinburgh is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Edinburgh (Day 4 - 8).\n   |- The departure day of Munich is Day 6. The arrival day of Edinburgh is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 8).\n |- The departure day of Barcelona is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 8).\n |- The departure day of Munich is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 8 - 9).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Seville is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Munich, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Edinburgh to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 17 - 21).\n     |- The departure day of Seville is Day 9. The arrival day of Helsinki is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Edinburgh, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga, Barcelona] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Seville to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 17 - 21).\n       |- The departure day of Barcelona is Day 12. The arrival day of Helsinki is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Munich, Edinburgh, Seville, Barcelona].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Barcelona to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Barcelona to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Helsinki (Day 17 - 21).\n         |- The departure day of Riga is Day 14. The arrival day of Helsinki is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Munich, Edinburgh, Seville, Barcelona, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Riga to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Helsinki (Day 17 - 21).\n           |- The departure day of Vilnius is Day 17. The arrival day of Helsinki is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Munich, Edinburgh, Seville, Barcelona, Riga, Vilnius].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Vilnius to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Munich, Edinburgh, Seville, Barcelona, Riga, Vilnius, Helsinki].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Edinburgh.\n**Day 4-8:** Visit Edinburgh for 5 days.\n**Day 8:** Fly from Edinburgh to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Barcelona.\n**Day 9-12:** Visit Barcelona for 4 days.\n**Day 12:** Fly from Barcelona to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Berlin**Athens**Milan**Manchester**Prague**Lyon",
    "ground_truth_durations": "4**4**3**2**2**3**5",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Dublin",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You want to meet a friend in Athens between day 7 and day 9. You want to spend 5 days in Lyon. You want to spend 2 days in Manchester. You want to spend 3 days in Prague. You want to spend 2 days in Milan. During day 9 and day 10, you have to attend a conference in Milan. You want to spend 4 days in Berlin. You plan to stay in Dublin for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dublin.\n\nHere are the cities that have direct flights:\nDublin and Manchester, Athens and Milan, Dublin and Lyon, Athens and Prague, Prague and Lyon, Manchester and Prague, Berlin and Milan, Athens and Manchester, Dublin and Berlin, Dublin and Prague, Milan and Manchester, Berlin and Athens, Berlin and Manchester, Dublin and Milan, Milan and Prague, Dublin and Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You want to meet a friend in Athens between day 7 and day 9. You want to spend 5 days in Lyon. You want to spend 2 days in Manchester. You want to spend 3 days in Prague. You want to spend 2 days in Milan. During day 9 and day 10, you have to attend a conference in Milan. You want to spend 4 days in Berlin. You plan to stay in Dublin for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dublin.\n\nHere are the cities that have direct flights:\nfrom Dublin to Manchester, from Athens to Milan, from Dublin to Lyon, from Athens to Prague, from Prague to Lyon, from Manchester to Prague, from Berlin to Milan, from Athens to Manchester, from Dublin to Berlin, from Dublin to Prague, from Milan to Manchester, from Berlin to Athens, from Berlin to Manchester, from Dublin to Milan, from Milan to Prague, from Dublin to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Prague.\n**Day 11-13:** Visit Prague for 3 days.\n**Day 13:** Fly from Prague to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_964",
    "estimated_output_tokens": 2801,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Lyon, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Berlin, Duration: 4 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 4.\n* City: Athens, Fixed Schedule: Day 7 - 9.\n* City: Milan, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 7 - 9).\n |- The departure day of Dublin is Day 4. The arrival day of Athens is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Prague, Berlin] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dublin to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 7 - 9).\n   |- The departure day of Lyon is Day 8. The arrival day of Athens is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dublin to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 7 - 9).\n   |- The departure day of Manchester is Day 5. The arrival day of Athens is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Prague, Berlin] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Manchester to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 7 - 9).\n     |- The departure day of Prague is Day 7. The arrival day of Athens is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Manchester, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Prague to Athens.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Manchester to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dublin to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 7 - 9).\n   |- The departure day of Prague is Day 6. The arrival day of Athens is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Berlin] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Athens (Day 7 - 9).\n     |- The departure day of Lyon is Day 10. The arrival day of Athens is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dublin to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 7 - 9).\n   |- The departure day of Berlin is Day 7. The arrival day of Athens is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 9 - 10).\n     |- The departure day of Athens is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dublin, Berlin, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dublin, Berlin, Athens, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Prague] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Milan to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Milan to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dublin, Berlin, Athens, Milan, Manchester].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Prague] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Manchester to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Manchester to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Dublin, Berlin, Athens, Milan, Manchester, Prague].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Prague to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dublin, Berlin, Athens, Milan, Manchester, Prague, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Manchester.\n**Day 10-11:** Visit Manchester for 2 days.\n**Day 11:** Fly from Manchester to Prague.\n**Day 11-13:** Visit Prague for 3 days.\n**Day 13:** Fly from Prague to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Warsaw**Naples**Budapest**Hamburg**Porto**Lyon",
    "ground_truth_durations": "4**2**2**5**4**5**3",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 6,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Warsaw",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You want to spend 3 days in Lyon. You would like to visit Krakow for 4 days. You want to spend 2 days in Naples. You plan to stay in Hamburg for 4 days. You plan to stay in Warsaw for 2 days. During day 4 and day 5, you have to attend a conference in Warsaw. You would like to visit Budapest for 5 days. You are going to attend a wedding in Budapest between day 6 and day 10.\n\nHere are the cities that have direct flights:\nWarsaw and Porto, Budapest and Hamburg, Warsaw and Naples, Hamburg and Porto, Krakow and Warsaw, Warsaw and Budapest, Naples and Budapest, Porto and Lyon, Warsaw and Hamburg.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You want to spend 3 days in Lyon. You would like to visit Krakow for 4 days. You want to spend 2 days in Naples. You plan to stay in Hamburg for 4 days. You plan to stay in Warsaw for 2 days. During day 4 and day 5, you have to attend a conference in Warsaw. You would like to visit Budapest for 5 days. You are going to attend a wedding in Budapest between day 6 and day 10.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Porto, from Budapest to Hamburg, from Warsaw to Naples, from Hamburg to Porto, from Krakow to Warsaw, from Warsaw to Budapest, from Naples to Budapest, from Porto to Lyon, from Warsaw to Hamburg.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Naples.\n**Day 5-6:** Visit Naples for 2 days.\n**Day 6:** Fly from Naples to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Hamburg.\n**Day 10-13:** Visit Hamburg for 4 days.\n**Day 13:** Fly from Hamburg to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Lyon.\n**Day 17-19:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_965",
    "estimated_output_tokens": 2396,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 4 - 5.\n* City: Budapest, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Lyon, Krakow, Naples, Hamburg] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 5).\n |- The departure day of Porto is Day 5. The arrival day of Warsaw is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 5).\n |- The departure day of Lyon is Day 3. The arrival day of Warsaw is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Krakow, Naples, Hamburg] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 5).\n |- The departure day of Krakow is Day 4. The arrival day of Warsaw is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 6 - 10).\n   |- The departure day of Warsaw is Day 5. The arrival day of Budapest is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Lyon, Naples, Hamburg] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Warsaw to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 6 - 10).\n     |- The departure day of Porto is Day 9. The arrival day of Budapest is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Warsaw to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Warsaw to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 6 - 10).\n     |- The departure day of Naples is Day 6. The arrival day of Budapest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Krakow, Warsaw, Naples].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Naples to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Krakow, Warsaw, Naples, Budapest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Lyon, Hamburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Budapest to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Budapest to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Budapest to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Warsaw, Naples, Budapest, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Lyon] and explore these options in order.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Krakow, Warsaw, Naples, Budapest, Hamburg, Porto].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Porto to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Krakow, Warsaw, Naples, Budapest, Hamburg, Porto, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Naples.\n**Day 5-6:** Visit Naples for 2 days.\n**Day 6:** Fly from Naples to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Hamburg.\n**Day 10-13:** Visit Hamburg for 4 days.\n**Day 13:** Fly from Hamburg to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Lyon.\n**Day 17-19:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Brussels**Hamburg**Zurich**Mykonos**Nice",
    "ground_truth_durations": "5**2**5**2**2**5**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Zurich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Madrid. From day 1 to day 5, there is a annual show you want to attend in Madrid. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 6 and day 10 to tour together. You would like to visit Mykonos for 5 days. You would like to visit Zurich for 2 days. You want to spend 2 days in Seville. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 16 and day 17.\n\nHere are the cities that have direct flights:\nMadrid and Brussels, Madrid and Zurich, Hamburg and Nice, Brussels and Hamburg, Madrid and Hamburg, Seville and Brussels, Mykonos and Nice, Zurich and Nice, Madrid and Nice, Madrid and Seville, Madrid and Mykonos, Brussels and Nice, Hamburg and Zurich, Brussels and Zurich, Zurich and Mykonos.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Madrid. From day 1 to day 5, there is a annual show you want to attend in Madrid. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 6 and day 10 to tour together. You would like to visit Mykonos for 5 days. You would like to visit Zurich for 2 days. You want to spend 2 days in Seville. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 16 and day 17.\n\nHere are the cities that have direct flights:\nfrom Madrid to Brussels, from Madrid to Zurich, from Hamburg to Nice, from Brussels to Hamburg, from Madrid to Hamburg, from Seville to Brussels, from Mykonos to Nice, from Zurich to Nice, from Madrid to Nice, from Madrid to Seville, from Madrid to Mykonos, from Brussels to Nice, from Hamburg to Zurich, from Brussels to Zurich, from Zurich to Mykonos.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Brussels.\n**Day 6-10:** Visit Brussels for 5 days.\n**Day 10:** Fly from Brussels to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Mykonos.\n**Day 12-16:** Visit Mykonos for 5 days.\n**Day 16:** Fly from Mykonos to Nice.\n**Day 16-17:** Visit Nice for 2 days.",
    "id": "trip_planning_example_966",
    "estimated_output_tokens": 2776,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Mykonos, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Brussels, Fixed Schedule: Day 6 - 10.\n* City: Nice, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 6 - 10).\n |- The departure day of Madrid is Day 5. The arrival day of Brussels is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Seville, Hamburg] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Madrid to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 6 - 10).\n   |- The departure day of Mykonos is Day 9. The arrival day of Brussels is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 6 - 10).\n   |- The departure day of Zurich is Day 6. The arrival day of Brussels is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 6 - 10).\n   |- The departure day of Seville is Day 6. The arrival day of Brussels is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 16 - 17).\n     |- The departure day of Brussels is Day 10. The arrival day of Nice is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Seville, Brussels].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Hamburg] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Brussels to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Brussels to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 16 - 17).\n       |- The departure day of Zurich is Day 11. The arrival day of Nice is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Seville, Brussels, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Hamburg] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Zurich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 16 - 17).\n         |- The departure day of Mykonos is Day 15. The arrival day of Nice is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Madrid, Seville, Brussels, Zurich, Mykonos].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Mykonos to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Zurich to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Brussels to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 16 - 17).\n       |- The departure day of Hamburg is Day 11. The arrival day of Nice is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Seville, Brussels, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 16 - 17).\n         |- The departure day of Zurich is Day 12. The arrival day of Nice is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Madrid, Seville, Brussels, Hamburg, Zurich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Zurich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 16 - 17).\n           |- The departure day of Mykonos is Day 16. The arrival day of Nice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Seville, Brussels, Hamburg, Zurich, Mykonos].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Mykonos to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Madrid, Seville, Brussels, Hamburg, Zurich, Mykonos, Nice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Brussels.\n**Day 6-10:** Visit Brussels for 5 days.\n**Day 10:** Fly from Brussels to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Mykonos.\n**Day 12-16:** Visit Mykonos for 5 days.\n**Day 16:** Fly from Mykonos to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Lisbon**Reykjavik**Budapest**Mykonos**Athens**Riga",
    "ground_truth_durations": "4**3**2**2**3**4**2",
    "num_cities": 7,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Budapest",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. During day 7 and day 8, you have to attend a conference in Budapest. You want to spend 3 days in Mykonos. You would like to visit Lyon for 4 days. You want to meet a friend in Lyon between day 1 and day 4. You would like to visit Reykjavik for 2 days. From day 6 to day 7, there is a annual show you want to attend in Reykjavik. You plan to stay in Lisbon for 3 days. You plan to stay in Athens for 4 days. You would like to visit Riga for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Reykjavik, from Athens to Riga, Lisbon and Riga, Mykonos and Athens, Lisbon and Athens, from Reykjavik to Athens, Lyon and Lisbon, Lisbon and Budapest, Reykjavik and Budapest, Budapest and Mykonos.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 14 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. During day 7 and day 8, you have to attend a conference in Budapest. You want to spend 3 days in Mykonos. You would like to visit Lyon for 4 days. You want to meet a friend in Lyon between day 1 and day 4. You would like to visit Reykjavik for 2 days. From day 6 to day 7, there is a annual show you want to attend in Reykjavik. You plan to stay in Lisbon for 3 days. You plan to stay in Athens for 4 days. You would like to visit Riga for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Reykjavik, from Athens to Riga, from Lisbon to Riga, from Mykonos to Athens, from Lisbon to Athens, from Reykjavik to Athens, from Lyon to Lisbon, from Lisbon to Budapest, from Reykjavik to Budapest, from Budapest to Mykonos.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 14 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.\n**Day 10:** Fly from Mykonos to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-14:** Visit Riga for 2 days.",
    "id": "trip_planning_example_967",
    "estimated_output_tokens": 1771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Mykonos, Duration: 3 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Lisbon, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 6 - 7.\n* City: Budapest, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 7).\n |- The departure day of Lyon is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Lisbon, Athens, Riga] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 7).\n   |- The departure day of Lisbon is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 7 - 8).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Budapest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Lisbon, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Lyon, Lisbon, Reykjavik, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Riga] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Budapest to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Lyon, Lisbon, Reykjavik, Budapest, Mykonos].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Riga] and explore these options in order.\n           |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Mykonos to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Lyon, Lisbon, Reykjavik, Budapest, Mykonos, Athens].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Athens to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Lyon, Lisbon, Reykjavik, Budapest, Mykonos, Athens, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.\n**Day 10:** Fly from Mykonos to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Venice**Stuttgart**Valencia**Krakow**Helsinki**Riga",
    "ground_truth_durations": "3**5**2**5**3**3**4",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Nice",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 8 to day 12, there is a annual show you want to attend in Valencia. You plan to stay in Venice for 5 days. You would like to visit Helsinki for 3 days. You want to spend 3 days in Nice. You want to spend 4 days in Riga. You plan to visit relatives in Riga between day 16 and day 19. You plan to stay in Krakow for 3 days. You want to spend 2 days in Stuttgart.\n\nHere are the cities that have direct flights:\nStuttgart and Valencia, Valencia and Krakow, Krakow and Helsinki, Helsinki and Riga, Stuttgart and Krakow, Venice and Helsinki, Nice and Riga, Venice and Stuttgart, Nice and Helsinki, Nice and Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 8 to day 12, there is a annual show you want to attend in Valencia. You plan to stay in Venice for 5 days. You would like to visit Helsinki for 3 days. You want to spend 3 days in Nice. You want to spend 4 days in Riga. You plan to visit relatives in Riga between day 16 and day 19. You plan to stay in Krakow for 3 days. You want to spend 2 days in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Valencia, from Valencia to Krakow, from Krakow to Helsinki, from Helsinki to Riga, from Stuttgart to Krakow, from Venice to Helsinki, from Nice to Riga, from Venice to Stuttgart, from Nice to Helsinki, from Nice to Venice.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Helsinki.\n**Day 14-16:** Visit Helsinki for 3 days.\n**Day 16:** Fly from Helsinki to Riga.\n**Day 16-19:** Visit Riga for 4 days.",
    "id": "trip_planning_example_968",
    "estimated_output_tokens": 3567,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Venice, Duration: 5 days.\n* City: Helsinki, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Krakow, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 8 - 12.\n* City: Riga, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Helsinki, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Helsinki, Nice, Krakow, Stuttgart] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 12).\n |- The departure day of Venice is Day 5. The arrival day of Valencia is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Nice, Krakow, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 12).\n   |- The departure day of Helsinki is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Krakow, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Helsinki to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 12).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Valencia is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Nice, Krakow] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stuttgart to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stuttgart to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stuttgart to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 12).\n     |- The departure day of Krakow is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Stuttgart, Krakow].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Krakow to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 12).\n |- The departure day of Helsinki is Day 3. The arrival day of Valencia is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Nice, Krakow, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 12).\n |- The departure day of Nice is Day 3. The arrival day of Valencia is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, Krakow, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Nice to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 8 - 12).\n   |- The departure day of Venice is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Nice, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Krakow, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 12).\n     |- The departure day of Helsinki is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 12).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Venice, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Stuttgart to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 16 - 19).\n       |- The departure day of Valencia is Day 12. The arrival day of Riga is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Nice, Venice, Stuttgart, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Krakow] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 16 - 19).\n         |- The departure day of Krakow is Day 14. The arrival day of Riga is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Nice, Venice, Stuttgart, Valencia, Krakow].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Krakow to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 16 - 19).\n           |- The departure day of Helsinki is Day 16. The arrival day of Riga is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Nice, Venice, Stuttgart, Valencia, Krakow, Helsinki].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Helsinki to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Nice, Venice, Stuttgart, Valencia, Krakow, Helsinki, Riga].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Valencia.\n**Day 8-12:** Visit Valencia for 5 days.\n**Day 12:** Fly from Valencia to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Helsinki.\n**Day 14-16:** Visit Helsinki for 3 days.\n**Day 16:** Fly from Helsinki to Riga.\n**Day 16-19:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Vienna**Lisbon**Riga**Manchester**Dubrovnik**Dublin",
    "ground_truth_durations": "3**4**4**3**4**4**4",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 17,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Manchester",
        "Dublin"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Vienna",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 3 days. You would like to visit Manchester for 4 days. You plan to stay in Dubrovnik for 4 days. You plan to stay in Vienna for 4 days. You want to spend 4 days in Lisbon. You want to meet a friend in Lisbon between day 6 and day 9. You would like to visit Riga for 3 days. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 17 and day 20.\n\nHere are the cities that have direct flights:\nLisbon and Manchester, Manchester and Dublin, Vienna and Dubrovnik, Riga and Manchester, Lisbon and Dublin, Riga and Dublin, Dubrovnik and Dublin, Lisbon and Riga, Vienna and Manchester, Vienna and Lisbon, Manchester and Dubrovnik, Mykonos and Vienna, Vienna and Dublin, Vienna and Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 3 days. You would like to visit Manchester for 4 days. You plan to stay in Dubrovnik for 4 days. You plan to stay in Vienna for 4 days. You want to spend 4 days in Lisbon. You want to meet a friend in Lisbon between day 6 and day 9. You would like to visit Riga for 3 days. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 17 and day 20.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Manchester, from Manchester to Dublin, from Vienna to Dubrovnik, from Riga to Manchester, from Lisbon to Dublin, from Riga to Dublin, from Dubrovnik to Dublin, from Lisbon to Riga, from Vienna to Manchester, from Vienna to Lisbon, from Manchester to Dubrovnik, from Mykonos to Vienna, from Vienna to Dublin, from Vienna to Riga.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Lisbon.\n**Day 6-9:** Visit Lisbon for 4 days.\n**Day 9:** Fly from Lisbon to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n**Day 17:** Fly from Dubrovnik to Dublin.\n**Day 17-20:** Visit Dublin for 4 days.",
    "id": "trip_planning_example_969",
    "estimated_output_tokens": 2489,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Riga, Duration: 3 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 6 - 9.\n* City: Dublin, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Manchester, Dubrovnik, Vienna, Riga] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 6 - 9).\n |- The departure day of Mykonos is Day 3. The arrival day of Lisbon is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Vienna, Riga] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Mykonos to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Mykonos to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 6 - 9).\n   |- The departure day of Vienna is Day 6. The arrival day of Lisbon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 17 - 20).\n     |- The departure day of Lisbon is Day 9. The arrival day of Dublin is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Vienna, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Riga] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lisbon to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 17 - 20).\n       |- The departure day of Manchester is Day 12. The arrival day of Dublin is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, Vienna, Lisbon, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Riga] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Manchester to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 17 - 20).\n         |- The departure day of Dubrovnik is Day 15. The arrival day of Dublin is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Mykonos, Vienna, Lisbon, Manchester, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Dubrovnik to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Manchester to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lisbon to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 17 - 20).\n       |- The departure day of Riga is Day 11. The arrival day of Dublin is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Vienna, Lisbon, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Riga to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dublin (Day 17 - 20).\n         |- The departure day of Manchester is Day 14. The arrival day of Dublin is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, Vienna, Lisbon, Riga, Manchester].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Manchester to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 17 - 20).\n           |- The departure day of Dubrovnik is Day 17. The arrival day of Dublin is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Vienna, Lisbon, Riga, Manchester, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Dubrovnik to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Mykonos, Vienna, Lisbon, Riga, Manchester, Dubrovnik, Dublin].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Lisbon.\n**Day 6-9:** Visit Lisbon for 4 days.\n**Day 9:** Fly from Lisbon to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Dubrovnik.\n**Day 14-17:** Visit Dubrovnik for 4 days.\n**Day 17:** Fly from Dubrovnik to Dublin.\n**Day 17-20:** Visit Dublin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Bucharest**Lyon**Barcelona**Seville**Milan**Stuttgart",
    "ground_truth_durations": "3**2**2**2**5**3**5",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Riga",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You have to attend a workshop in Lyon between day 4 and day 5. You want to spend 3 days in Milan. You plan to stay in Barcelona for 2 days. You would like to visit Seville for 5 days. You want to meet a friend in Seville between day 6 and day 10. You would like to visit Stuttgart for 5 days. You would like to visit Riga for 3 days. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nBucharest and Barcelona, Seville and Milan, Barcelona and Seville, Lyon and Barcelona, Barcelona and Milan, Bucharest and Lyon, Barcelona and Stuttgart, Riga and Bucharest, Riga and Barcelona, Milan and Stuttgart, Riga and Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You have to attend a workshop in Lyon between day 4 and day 5. You want to spend 3 days in Milan. You plan to stay in Barcelona for 2 days. You would like to visit Seville for 5 days. You want to meet a friend in Seville between day 6 and day 10. You would like to visit Stuttgart for 5 days. You would like to visit Riga for 3 days. You want to spend 2 days in Bucharest.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Barcelona, from Seville to Milan, from Barcelona to Seville, from Lyon to Barcelona, from Barcelona to Milan, from Bucharest to Lyon, from Barcelona to Stuttgart, from Riga to Bucharest, from Riga to Barcelona, from Milan to Stuttgart, from Riga to Milan.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Bucharest.\n**Day 3-4:** Visit Bucharest for 2 days.\n**Day 4:** Fly from Bucharest to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Milan.\n**Day 10-12:** Visit Milan for 3 days.\n**Day 12:** Fly from Milan to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_970",
    "estimated_output_tokens": 3398,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Milan, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stuttgart, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 4 - 5.\n* City: Seville, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Barcelona, Stuttgart, Riga, Bucharest] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Milan is Day 3. The arrival day of Lyon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Stuttgart, Riga, Bucharest] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 5).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Lyon is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Barcelona is Day 2. The arrival day of Lyon is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Stuttgart, Riga, Bucharest] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 4 - 5).\n   |- The departure day of Milan is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Barcelona to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 4 - 5).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Lyon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Stuttgart is Day 5. The arrival day of Lyon is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Riga is Day 3. The arrival day of Lyon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Barcelona, Stuttgart, Bucharest] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 5).\n   |- The departure day of Milan is Day 5. The arrival day of Lyon is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 5).\n   |- The departure day of Barcelona is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 5).\n   |- The departure day of Bucharest is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 6 - 10).\n     |- The departure day of Lyon is Day 5. The arrival day of Seville is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Bucharest, Lyon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Barcelona, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Lyon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lyon to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 6 - 10).\n       |- The departure day of Barcelona is Day 6. The arrival day of Seville is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Riga, Bucharest, Lyon, Barcelona].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Barcelona to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Riga, Bucharest, Lyon, Barcelona, Seville].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Seville to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Riga, Bucharest, Lyon, Barcelona, Seville, Milan].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Milan to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Riga, Bucharest, Lyon, Barcelona, Seville, Milan, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Bucharest.\n**Day 3-4:** Visit Bucharest for 2 days.\n**Day 4:** Fly from Bucharest to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Milan.\n**Day 10-12:** Visit Milan for 3 days.\n**Day 12:** Fly from Milan to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Milan**Mykonos**Zurich**Florence**Madrid**Geneva",
    "ground_truth_durations": "5**3**5**5**4**4**2",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Dublin",
        "Madrid"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Dublin",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. You plan to stay in Geneva for 2 days. You would like to visit Mykonos for 5 days. You plan to stay in Milan for 3 days. You plan to visit relatives in Milan between day 5 and day 7. You want to spend 5 days in Zurich. You plan to stay in Florence for 4 days. During day 15 and day 18, you have to attend a conference in Florence. You plan to stay in Dublin for 5 days. You would like to meet your friends at Dublin between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nMykonos and Madrid, Zurich and Madrid, Dublin and Geneva, Mykonos and Geneva, Mykonos and Zurich, Milan and Zurich, Milan and Mykonos, Dublin and Madrid, Florence and Madrid, Zurich and Geneva, from Zurich to Florence, Milan and Madrid, Madrid and Geneva, Dublin and Milan, Dublin and Zurich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Madrid. You plan to stay in Geneva for 2 days. You would like to visit Mykonos for 5 days. You plan to stay in Milan for 3 days. You plan to visit relatives in Milan between day 5 and day 7. You want to spend 5 days in Zurich. You plan to stay in Florence for 4 days. During day 15 and day 18, you have to attend a conference in Florence. You plan to stay in Dublin for 5 days. You would like to meet your friends at Dublin between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Madrid, from Zurich to Madrid, from Dublin to Geneva, from Mykonos to Geneva, from Mykonos to Zurich, from Milan to Zurich, from Milan to Mykonos, from Dublin to Madrid, from Florence to Madrid, from Zurich to Geneva, from Zurich to Florence, from Milan to Madrid, from Madrid to Geneva, from Dublin to Milan, from Dublin to Zurich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Mykonos.\n**Day 7-11:** Visit Mykonos for 5 days.\n**Day 11:** Fly from Mykonos to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Madrid.\n**Day 18-21:** Visit Madrid for 4 days.\n**Day 21:** Fly from Madrid to Geneva.\n**Day 21-22:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_971",
    "estimated_output_tokens": 3188,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Zurich, Duration: 5 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 5.\n* City: Milan, Fixed Schedule: Day 5 - 7.\n* City: Florence, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Madrid, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 7).\n |- The departure day of Dublin is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dublin to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 15 - 18).\n   |- The departure day of Milan is Day 7. The arrival day of Florence is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dublin, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Geneva, Mykonos, Zurich] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 15 - 18).\n     |- The departure day of Madrid is Day 10. The arrival day of Florence is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Milan, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos, Zurich] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Madrid to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 15 - 18).\n       |- The departure day of Geneva is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dublin, Milan, Madrid, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Geneva to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Geneva to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 15 - 18).\n     |- The departure day of Mykonos is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dublin, Milan, Mykonos].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Geneva, Zurich] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Mykonos to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Madrid is Day 14. The arrival day of Florence is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dublin, Milan, Mykonos, Madrid].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Zurich] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Madrid to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 15 - 18).\n         |- The departure day of Geneva is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Dublin, Milan, Mykonos, Madrid, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Geneva to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Mykonos to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Geneva is Day 12. The arrival day of Florence is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dublin, Milan, Mykonos, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid, Zurich] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Geneva to Madrid.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Geneva to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Mykonos to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Zurich is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Dublin, Milan, Mykonos, Zurich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dublin, Milan, Mykonos, Zurich, Florence].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Geneva] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Florence to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Dublin, Milan, Mykonos, Zurich, Florence, Madrid].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Madrid to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Dublin, Milan, Mykonos, Zurich, Florence, Madrid, Geneva].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Mykonos.\n**Day 7-11:** Visit Mykonos for 5 days.\n**Day 11:** Fly from Mykonos to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Madrid.\n**Day 18-21:** Visit Madrid for 4 days.\n**Day 21:** Fly from Madrid to Geneva.\n**Day 21-22:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Madrid**Helsinki**Venice**Nice**Geneva**Valencia",
    "ground_truth_durations": "4**2**2**2**3**4**4",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Madrid",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You plan to stay in Geneva for 4 days. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 1 and day 4 to tour together. You want to spend 2 days in Venice. You plan to stay in Helsinki for 2 days. From day 5 to day 6, there is a annual show you want to attend in Helsinki. You would like to visit Madrid for 2 days. You would like to visit Nice for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Nice, Madrid and Nice, Helsinki and Geneva, Milan and Valencia, Milan and Helsinki, Madrid and Valencia, Madrid and Venice, Helsinki and Venice, Milan and Madrid, Madrid and Geneva, Nice and Geneva, Geneva and Valencia, Venice and Nice, Madrid and Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You plan to stay in Geneva for 4 days. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 1 and day 4 to tour together. You want to spend 2 days in Venice. You plan to stay in Helsinki for 2 days. From day 5 to day 6, there is a annual show you want to attend in Helsinki. You would like to visit Madrid for 2 days. You would like to visit Nice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Nice, from Madrid to Nice, from Helsinki to Geneva, from Milan to Valencia, from Milan to Helsinki, from Madrid to Valencia, from Madrid to Venice, from Helsinki to Venice, from Milan to Madrid, from Madrid to Geneva, from Nice to Geneva, from Geneva to Valencia, from Venice to Nice, from Madrid to Helsinki.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-15:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_972",
    "estimated_output_tokens": 2519,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Venice, Duration: 2 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Madrid, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 4.\n* City: Helsinki, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 5 - 6).\n |- The departure day of Milan is Day 4. The arrival day of Helsinki is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Geneva, Venice, Madrid, Nice] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 5 - 6).\n   |- The departure day of Valencia is Day 7. The arrival day of Helsinki is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Milan to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Milan to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 5 - 6).\n   |- The departure day of Madrid is Day 5. The arrival day of Helsinki is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Milan, Madrid, Helsinki].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Geneva, Venice, Nice] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Helsinki to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Helsinki to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Madrid, Helsinki, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, Nice] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Geneva to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Milan, Madrid, Helsinki, Geneva, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Nice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Valencia to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Valencia to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Geneva to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Geneva to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Helsinki to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Milan, Madrid, Helsinki, Venice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Geneva, Nice] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Venice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Venice to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Venice to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Milan, Madrid, Helsinki, Venice, Nice].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Geneva] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Nice to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Nice to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Milan, Madrid, Helsinki, Venice, Nice, Geneva].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Geneva to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Milan, Madrid, Helsinki, Venice, Nice, Geneva, Valencia].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Nice.\n**Day 7-9:** Visit Nice for 3 days.\n**Day 9:** Fly from Nice to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-15:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Edinburgh**Venice**Naples**Helsinki**Tallinn**Vilnius",
    "ground_truth_durations": "2**3**5**2**5**2**4",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Helsinki"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You want to meet a friend in Paris between day 1 and day 2. You want to spend 5 days in Venice. You plan to stay in Tallinn for 2 days. You plan to stay in Edinburgh for 3 days. You have to attend a workshop in Edinburgh between day 2 and day 4. You would like to visit Helsinki for 5 days. You want to spend 4 days in Vilnius. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nNaples and Helsinki, Venice and Helsinki, Paris and Helsinki, Paris and Vilnius, from Tallinn to Vilnius, Paris and Naples, Edinburgh and Venice, Paris and Venice, Paris and Tallinn, Helsinki and Tallinn, Venice and Naples, Helsinki and Vilnius, Paris and Edinburgh, Edinburgh and Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 2 days. You want to meet a friend in Paris between day 1 and day 2. You want to spend 5 days in Venice. You plan to stay in Tallinn for 2 days. You plan to stay in Edinburgh for 3 days. You have to attend a workshop in Edinburgh between day 2 and day 4. You would like to visit Helsinki for 5 days. You want to spend 4 days in Vilnius. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Helsinki, from Venice to Helsinki, from Paris to Helsinki, from Paris to Vilnius, from Tallinn to Vilnius, from Paris to Naples, from Edinburgh to Venice, from Paris to Venice, from Paris to Tallinn, from Helsinki to Tallinn, from Venice to Naples, from Helsinki to Vilnius, from Paris to Edinburgh, from Edinburgh to Helsinki.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_973",
    "estimated_output_tokens": 2703,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Helsinki, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Edinburgh, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 4).\n |- The departure day of Paris is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Paris to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Tallinn, Helsinki, Vilnius, Naples] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Paris, Edinburgh, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki, Vilnius, Naples] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Paris, Edinburgh, Venice, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Naples] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Paris, Edinburgh, Venice, Helsinki, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Naples] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Paris, Edinburgh, Venice, Helsinki, Tallinn, Vilnius].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Vilnius to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Tallinn to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Paris, Edinburgh, Venice, Helsinki, Vilnius].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vilnius to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vilnius to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Edinburgh, Venice, Naples].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki, Vilnius] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Naples to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Naples to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Paris, Edinburgh, Venice, Naples, Helsinki].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Helsinki to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Paris, Edinburgh, Venice, Naples, Helsinki, Tallinn].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Tallinn to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Paris, Edinburgh, Venice, Naples, Helsinki, Tallinn, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Berlin**Munich**Bucharest**Vienna**Athens**Santorini",
    "ground_truth_durations": "3**4**4**2**5**3**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 10,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Munich"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Krakow",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 3 days. You would like to visit Bucharest for 2 days. You plan to stay in Berlin for 4 days. You are going to attend a wedding in Berlin between day 3 and day 6. You want to spend 4 days in Munich. You would like to visit Santorini for 5 days. You plan to stay in Athens for 3 days. You would like to meet your friends at Athens between day 14 and day 16 to tour together. You want to spend 5 days in Vienna. You have to attend a workshop in Vienna between day 10 and day 14.\n\nHere are the cities that have direct flights:\nBerlin and Munich, Bucharest and Vienna, Berlin and Vienna, Vienna and Athens, Vienna and Santorini, Munich and Bucharest, Berlin and Athens, Bucharest and Athens, Krakow and Munich, Munich and Vienna, Krakow and Berlin, Bucharest and Santorini, Munich and Athens, Athens and Santorini, Krakow and Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 3 days. You would like to visit Bucharest for 2 days. You plan to stay in Berlin for 4 days. You are going to attend a wedding in Berlin between day 3 and day 6. You want to spend 4 days in Munich. You would like to visit Santorini for 5 days. You plan to stay in Athens for 3 days. You would like to meet your friends at Athens between day 14 and day 16 to tour together. You want to spend 5 days in Vienna. You have to attend a workshop in Vienna between day 10 and day 14.\n\nHere are the cities that have direct flights:\nfrom Berlin to Munich, from Bucharest to Vienna, from Berlin to Vienna, from Vienna to Athens, from Vienna to Santorini, from Munich to Bucharest, from Berlin to Athens, from Bucharest to Athens, from Krakow to Munich, from Munich to Vienna, from Krakow to Berlin, from Bucharest to Santorini, from Munich to Athens, from Athens to Santorini, from Krakow to Vienna.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Munich.\n**Day 6-9:** Visit Munich for 4 days.\n**Day 9:** Fly from Munich to Bucharest.\n**Day 9-10:** Visit Bucharest for 2 days.\n**Day 10:** Fly from Bucharest to Vienna.\n**Day 10-14:** Visit Vienna for 5 days.\n**Day 14:** Fly from Vienna to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Santorini.\n**Day 16-20:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_974",
    "estimated_output_tokens": 1804,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 6.\n* City: Vienna, Fixed Schedule: Day 10 - 14.\n* City: Athens, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Bucharest, Munich, Santorini] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Krakow is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 10 - 14).\n   |- The departure day of Berlin is Day 6. The arrival day of Vienna is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Berlin to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Berlin to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 10 - 14).\n     |- The departure day of Munich is Day 9. The arrival day of Vienna is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Krakow, Berlin, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Munich to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 10 - 14).\n       |- The departure day of Bucharest is Day 10. The arrival day of Vienna is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Krakow, Berlin, Munich, Bucharest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Bucharest to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Athens (Day 14 - 16).\n         |- The departure day of Vienna is Day 14. The arrival day of Athens is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Krakow, Berlin, Munich, Bucharest, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Berlin, Munich, Bucharest, Vienna, Athens].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Athens to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Berlin, Munich, Bucharest, Vienna, Athens, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Munich.\n**Day 6-9:** Visit Munich for 4 days.\n**Day 9:** Fly from Munich to Bucharest.\n**Day 9-10:** Visit Bucharest for 2 days.\n**Day 10:** Fly from Bucharest to Vienna.\n**Day 10-14:** Visit Vienna for 5 days.\n**Day 14:** Fly from Vienna to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Santorini.\n**Day 16-20:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Amsterdam**Mykonos**Zurich**Florence**Barcelona**Bucharest",
    "ground_truth_durations": "3**4**4**2**4**4**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 16,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Zurich",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You want to spend 4 days in Florence. You have to attend a workshop in Florence between day 10 and day 13. You would like to visit Zurich for 2 days. You would like to visit Barcelona for 4 days. You plan to stay in Amsterdam for 4 days. You want to spend 3 days in Seville. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 16 and day 18 to tour together.\n\nHere are the cities that have direct flights:\nAmsterdam and Bucharest, Florence and Barcelona, Amsterdam and Barcelona, Amsterdam and Mykonos, Mykonos and Zurich, Seville and Barcelona, Seville and Amsterdam, from Zurich to Florence, Zurich and Bucharest, Barcelona and Bucharest, Amsterdam and Zurich, Amsterdam and Florence, Zurich and Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You want to spend 4 days in Florence. You have to attend a workshop in Florence between day 10 and day 13. You would like to visit Zurich for 2 days. You would like to visit Barcelona for 4 days. You plan to stay in Amsterdam for 4 days. You want to spend 3 days in Seville. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 16 and day 18 to tour together.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Bucharest, from Florence to Barcelona, from Amsterdam to Barcelona, from Amsterdam to Mykonos, from Mykonos to Zurich, from Seville to Barcelona, from Seville to Amsterdam, from Zurich to Florence, from Zurich to Bucharest, from Barcelona to Bucharest, from Amsterdam to Zurich, from Amsterdam to Florence, from Zurich to Barcelona.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Mykonos.\n**Day 6-9:** Visit Mykonos for 4 days.\n**Day 9:** Fly from Mykonos to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Barcelona.\n**Day 13-16:** Visit Barcelona for 4 days.\n**Day 16:** Fly from Barcelona to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_975",
    "estimated_output_tokens": 6249,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Zurich, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 10 - 13.\n* City: Bucharest, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Barcelona, Amsterdam, Seville] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 10 - 13).\n |- The departure day of Mykonos is Day 4. The arrival day of Florence is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Barcelona, Amsterdam, Seville] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 10 - 13).\n   |- The departure day of Zurich is Day 5. The arrival day of Florence is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Amsterdam, Seville] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 10 - 13).\n     |- The departure day of Barcelona is Day 8. The arrival day of Florence is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Zurich, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Seville] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Barcelona to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Zurich to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 10 - 13).\n |- The departure day of Zurich is Day 2. The arrival day of Florence is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Barcelona, Amsterdam, Seville] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Zurich to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Zurich to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 10 - 13).\n   |- The departure day of Barcelona is Day 5. The arrival day of Florence is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Amsterdam, Seville] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Barcelona to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Barcelona to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Barcelona to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Zurich to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Zurich to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 10 - 13).\n |- The departure day of Barcelona is Day 4. The arrival day of Florence is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Amsterdam, Seville] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Barcelona to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Barcelona to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 10 - 13).\n |- The departure day of Amsterdam is Day 4. The arrival day of Florence is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Barcelona, Seville] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 10 - 13).\n   |- The departure day of Mykonos is Day 7. The arrival day of Florence is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Mykonos].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Barcelona, Seville] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Mykonos to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 10 - 13).\n     |- The departure day of Zurich is Day 8. The arrival day of Florence is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Mykonos, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Seville] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 10 - 13).\n       |- The departure day of Barcelona is Day 11. The arrival day of Florence is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Zurich to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Mykonos to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Mykonos to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 10 - 13).\n   |- The departure day of Zurich is Day 5. The arrival day of Florence is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Barcelona, Seville] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 10 - 13).\n     |- The departure day of Barcelona is Day 8. The arrival day of Florence is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Zurich, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Seville] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Barcelona to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Zurich to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 10 - 13).\n   |- The departure day of Barcelona is Day 7. The arrival day of Florence is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Seville] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Barcelona to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Barcelona to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Amsterdam to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 10 - 13).\n |- The departure day of Seville is Day 3. The arrival day of Florence is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Barcelona, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Seville to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 10 - 13).\n   |- The departure day of Barcelona is Day 6. The arrival day of Florence is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 10 - 13).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Florence is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Barcelona] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Amsterdam to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 10 - 13).\n     |- The departure day of Mykonos is Day 9. The arrival day of Florence is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Amsterdam, Mykonos].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Barcelona] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Mykonos to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 10 - 13).\n       |- The departure day of Zurich is Day 10. The arrival day of Florence is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Amsterdam, Mykonos, Zurich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 16 - 18).\n         |- The departure day of Florence is Day 13. The arrival day of Bucharest is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Seville, Amsterdam, Mykonos, Zurich, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Florence to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 16 - 18).\n           |- The departure day of Barcelona is Day 16. The arrival day of Bucharest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Amsterdam, Mykonos, Zurich, Florence, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Barcelona to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Seville, Amsterdam, Mykonos, Zurich, Florence, Barcelona, Bucharest].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Mykonos.\n**Day 6-9:** Visit Mykonos for 4 days.\n**Day 9:** Fly from Mykonos to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Barcelona.\n**Day 13-16:** Visit Barcelona for 4 days.\n**Day 16:** Fly from Barcelona to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Athens**Stockholm**Santorini**Venice**Amsterdam**Seville",
    "ground_truth_durations": "2**3**2**2**3**2**2",
    "num_cities": 7,
    "total_days": 10,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Venice",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Venice. You want to spend 2 days in Seville. You would like to visit Athens for 3 days. From day 2 to day 4, there is a annual show you want to attend in Athens. You plan to stay in Amsterdam for 2 days. You want to spend 2 days in Stockholm. You would like to visit Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, Athens and Amsterdam, Stuttgart and Stockholm, Stockholm and Amsterdam, Athens and Venice, Athens and Stockholm, Athens and Santorini, Santorini and Venice, Amsterdam and Seville, Stuttgart and Athens, Stuttgart and Venice, Stuttgart and Amsterdam, Santorini and Amsterdam, Venice and Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 10 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Venice. You want to spend 2 days in Seville. You would like to visit Athens for 3 days. From day 2 to day 4, there is a annual show you want to attend in Athens. You plan to stay in Amsterdam for 2 days. You want to spend 2 days in Stockholm. You would like to visit Stuttgart for 2 days. You are going to attend a wedding in Stuttgart between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Santorini, from Athens to Amsterdam, from Stuttgart to Stockholm, from Stockholm to Amsterdam, from Athens to Venice, from Athens to Stockholm, from Athens to Santorini, from Santorini to Venice, from Amsterdam to Seville, from Stuttgart to Athens, from Stuttgart to Venice, from Stuttgart to Amsterdam, from Santorini to Amsterdam, from Venice to Amsterdam.\n\nFind a trip plan of visiting the cities for 10 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 10 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Athens.\n**Day 2-4:** Visit Athens for 3 days.\n**Day 4:** Fly from Athens to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Seville.\n**Day 9-10:** Visit Seville for 2 days.",
    "id": "trip_planning_example_976",
    "estimated_output_tokens": 4783,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Amsterdam, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 2.\n* City: Athens, Fixed Schedule: Day 2 - 4.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 2 - 4).\n |- The departure day of Stuttgart is Day 2. The arrival day of Athens is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Venice, Seville, Amsterdam, Stockholm] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stuttgart, Athens, Santorini].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Amsterdam, Stockholm] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Santorini to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Stuttgart, Athens, Santorini, Venice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Amsterdam, Stockholm] and explore these options in order.\n         |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Venice to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Venice to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Stuttgart, Athens, Santorini, Venice, Amsterdam].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm] and explore these options in order.\n           |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Amsterdam to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Stuttgart, Athens, Santorini, Venice, Amsterdam, Seville].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n             |- Check for direct flight from Seville to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Amsterdam to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Venice to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Santorini to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Santorini to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Stuttgart, Athens, Santorini, Amsterdam].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Stockholm] and explore these options in order.\n         |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Amsterdam to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Amsterdam to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 7. Current plan: [Stuttgart, Athens, Santorini, Amsterdam, Seville].\n          |- Check whether the city with an arrival day of Day 7 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm] and explore these options in order.\n           |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n           |- Check for direct flight from Seville to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n           |- Check for direct flight from Seville to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Amsterdam to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Santorini to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Athens to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stuttgart, Athens, Venice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Amsterdam, Stockholm] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Stuttgart, Athens, Venice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Stockholm] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Amsterdam to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Amsterdam to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Stuttgart, Athens, Venice, Amsterdam, Seville].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Seville to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Seville to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Amsterdam to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stuttgart, Athens, Amsterdam].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Venice, Seville, Stockholm] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Amsterdam to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Amsterdam to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Stuttgart, Athens, Amsterdam, Seville].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Venice, Stockholm] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Seville to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Seville to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Seville to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Amsterdam to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Athens to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stuttgart, Athens, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Venice, Seville, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Stuttgart, Athens, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Stuttgart, Athens, Stockholm, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Venice to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Venice to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Stuttgart, Athens, Stockholm, Santorini, Venice, Amsterdam].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n             |- Check for direct flight from Amsterdam to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 10. Current plan: [Stuttgart, Athens, Stockholm, Santorini, Venice, Amsterdam, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Athens.\n**Day 2-4:** Visit Athens for 3 days.\n**Day 4:** Fly from Athens to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**London**Istanbul**Vienna**Riga**Tallinn**Copenhagen",
    "ground_truth_durations": "5**3**5**4**2**4**5",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Riga"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Barcelona",
        "London"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 2 days. You would like to visit Tallinn for 4 days. During day 15 and day 18, you have to attend a conference in Tallinn. You want to spend 3 days in London. You would like to visit Vienna for 4 days. You would like to visit Copenhagen for 5 days. You would like to visit Istanbul for 5 days. You have to attend a workshop in Istanbul between day 7 and day 11. You want to spend 5 days in Barcelona. You want to meet a friend in Barcelona between day 1 and day 5.\n\nHere are the cities that have direct flights:\nVienna and Riga, from Istanbul to Tallinn, London and Vienna, Barcelona and Istanbul, Barcelona and Riga, Istanbul and Riga, Vienna and Copenhagen, Istanbul and Vienna, Barcelona and London, Riga and Copenhagen, Tallinn and Copenhagen, London and Copenhagen, Barcelona and Vienna, from Riga to Tallinn, Barcelona and Copenhagen, Barcelona and Tallinn, London and Istanbul, Istanbul and Copenhagen.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 2 days. You would like to visit Tallinn for 4 days. During day 15 and day 18, you have to attend a conference in Tallinn. You want to spend 3 days in London. You would like to visit Vienna for 4 days. You would like to visit Copenhagen for 5 days. You would like to visit Istanbul for 5 days. You have to attend a workshop in Istanbul between day 7 and day 11. You want to spend 5 days in Barcelona. You want to meet a friend in Barcelona between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Vienna to Riga, from Istanbul to Tallinn, from London to Vienna, from Barcelona to Istanbul, from Barcelona to Riga, from Istanbul to Riga, from Vienna to Copenhagen, from Istanbul to Vienna, from Barcelona to London, from Riga to Copenhagen, from Tallinn to Copenhagen, from London to Copenhagen, from Barcelona to Vienna, from Riga to Tallinn, from Barcelona to Copenhagen, from Barcelona to Tallinn, from London to Istanbul, from Istanbul to Copenhagen.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.\n**Day 18:** Fly from Tallinn to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.",
    "id": "trip_planning_example_977",
    "estimated_output_tokens": 2531,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: London, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 7 - 11.\n* City: Tallinn, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 7 - 11).\n |- The departure day of Barcelona is Day 5. The arrival day of Istanbul is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, London, Vienna, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Barcelona to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 7 - 11).\n   |- The departure day of Riga is Day 6. The arrival day of Istanbul is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Vienna, Copenhagen] and explore these options in order.\n     |- Try arranging to visit London from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Riga to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Riga to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 7 - 11).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Istanbul is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Barcelona to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 7 - 11).\n   |- The departure day of London is Day 7. The arrival day of Istanbul is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 15 - 18).\n     |- The departure day of Istanbul is Day 11. The arrival day of Tallinn is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Barcelona, London, Istanbul].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vienna, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Istanbul to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 15 - 18).\n       |- The departure day of Riga is Day 12. The arrival day of Tallinn is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Barcelona, London, Istanbul, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Riga to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Riga to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 15 - 18).\n         |- The departure day of Copenhagen is Day 16. The arrival day of Tallinn is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Istanbul to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 15 - 18).\n       |- The departure day of Vienna is Day 14. The arrival day of Tallinn is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Barcelona, London, Istanbul, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Vienna to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 15 - 18).\n         |- The departure day of Riga is Day 15. The arrival day of Tallinn is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Barcelona, London, Istanbul, Vienna, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Barcelona, London, Istanbul, Vienna, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Tallinn to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Barcelona, London, Istanbul, Vienna, Riga, Tallinn, Copenhagen].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.\n**Day 18:** Fly from Tallinn to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Istanbul**Barcelona**Reykjavik**Lisbon**Madrid**Dubrovnik",
    "ground_truth_durations": "2**2**4**5**4**2**5",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Madrid"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 1 and day 2 to tour together. You would like to visit Barcelona for 4 days. You would like to visit Istanbul for 2 days. From day 2 to day 3, there is a annual show you want to attend in Istanbul. You plan to stay in Lisbon for 4 days. You plan to visit relatives in Lisbon between day 10 and day 13. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Madrid.\n\nHere are the cities that have direct flights:\nReykjavik and Lisbon, Munich and Barcelona, Munich and Dubrovnik, Munich and Reykjavik, Barcelona and Dubrovnik, from Reykjavik to Madrid, Munich and Istanbul, from Dubrovnik to Istanbul, Barcelona and Reykjavik, Barcelona and Madrid, Istanbul and Madrid, Munich and Madrid, Munich and Lisbon, Barcelona and Lisbon, Lisbon and Madrid, Istanbul and Barcelona, Madrid and Dubrovnik, Istanbul and Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 1 and day 2 to tour together. You would like to visit Barcelona for 4 days. You would like to visit Istanbul for 2 days. From day 2 to day 3, there is a annual show you want to attend in Istanbul. You plan to stay in Lisbon for 4 days. You plan to visit relatives in Lisbon between day 10 and day 13. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Madrid.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Lisbon, from Munich to Barcelona, from Munich to Dubrovnik, from Munich to Reykjavik, from Barcelona to Dubrovnik, from Reykjavik to Madrid, from Munich to Istanbul, from Dubrovnik to Istanbul, from Barcelona to Reykjavik, from Barcelona to Madrid, from Istanbul to Madrid, from Munich to Madrid, from Munich to Lisbon, from Barcelona to Lisbon, from Lisbon to Madrid, from Istanbul to Barcelona, from Madrid to Dubrovnik, from Istanbul to Lisbon.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Lisbon.\n**Day 10-13:** Visit Lisbon for 4 days.\n**Day 13:** Fly from Lisbon to Madrid.\n**Day 13-14:** Visit Madrid for 2 days.\n**Day 14:** Fly from Madrid to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_978",
    "estimated_output_tokens": 1838,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Barcelona, Duration: 4 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Fixed Schedule: Day 2 - 3.\n* City: Lisbon, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 3).\n |- The departure day of Munich is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 10 - 13).\n   |- The departure day of Istanbul is Day 3. The arrival day of Lisbon is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Munich, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Barcelona, Dubrovnik, Madrid] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Istanbul to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Istanbul to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 10 - 13).\n     |- The departure day of Barcelona is Day 6. The arrival day of Lisbon is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Munich, Istanbul, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Dubrovnik, Madrid] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Barcelona to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 10 - 13).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Lisbon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Istanbul, Barcelona, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Istanbul, Barcelona, Reykjavik, Lisbon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Madrid] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Lisbon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lisbon to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Munich, Istanbul, Barcelona, Reykjavik, Lisbon, Madrid].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Madrid to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Munich, Istanbul, Barcelona, Reykjavik, Lisbon, Madrid, Dubrovnik].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Reykjavik.\n**Day 6-10:** Visit Reykjavik for 5 days.\n**Day 10:** Fly from Reykjavik to Lisbon.\n**Day 10-13:** Visit Lisbon for 4 days.\n**Day 13:** Fly from Lisbon to Madrid.\n**Day 13-14:** Visit Madrid for 2 days.\n**Day 14:** Fly from Madrid to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Naples**Santorini**Rome**Lyon**Istanbul**Vilnius",
    "ground_truth_durations": "4**2**2**5**5**3**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Lyon"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Naples",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You are going to attend a wedding in Santorini between day 5 and day 6. You would like to visit Mykonos for 4 days. You want to spend 5 days in Lyon. You plan to stay in Naples for 2 days. You want to spend 5 days in Rome. From day 6 to day 10, there is a annual show you want to attend in Rome. You would like to visit Vilnius for 3 days. You plan to stay in Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nRome and Lyon, Naples and Rome, Rome and Istanbul, Santorini and Rome, Mykonos and Naples, Lyon and Istanbul, Mykonos and Rome, Naples and Santorini, Istanbul and Vilnius, Naples and Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You are going to attend a wedding in Santorini between day 5 and day 6. You would like to visit Mykonos for 4 days. You want to spend 5 days in Lyon. You plan to stay in Naples for 2 days. You want to spend 5 days in Rome. From day 6 to day 10, there is a annual show you want to attend in Rome. You would like to visit Vilnius for 3 days. You plan to stay in Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Lyon, from Naples to Rome, from Rome to Istanbul, from Santorini to Rome, from Mykonos to Naples, from Lyon to Istanbul, from Mykonos to Rome, from Naples to Santorini, from Istanbul to Vilnius, from Naples to Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Istanbul.\n**Day 14-16:** Visit Istanbul for 3 days.\n**Day 16:** Fly from Istanbul to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_979",
    "estimated_output_tokens": 1813,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Mykonos, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Naples, Duration: 2 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Vilnius, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 5 - 6.\n* City: Rome, Fixed Schedule: Day 6 - 10.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Naples, Duration: 2 days.\n* City: Vilnius, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Naples, Vilnius, Istanbul] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 5 - 6).\n |- The departure day of Mykonos is Day 4. The arrival day of Santorini is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Naples, Vilnius, Istanbul] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 5 - 6).\n   |- The departure day of Naples is Day 5. The arrival day of Santorini is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Naples to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 6 - 10).\n     |- The departure day of Santorini is Day 6. The arrival day of Rome is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Mykonos, Naples, Santorini].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Santorini to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Naples, Santorini, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Vilnius, Istanbul] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Rome to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, Naples, Santorini, Rome, Lyon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Lyon to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Lyon to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Naples, Santorini, Rome, Lyon, Istanbul].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Istanbul to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Mykonos, Naples, Santorini, Rome, Lyon, Istanbul, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-5:** Visit Naples for 2 days.\n**Day 5:** Fly from Naples to Santorini.\n**Day 5-6:** Visit Santorini for 2 days.\n**Day 6:** Fly from Santorini to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Istanbul.\n**Day 14-16:** Visit Istanbul for 3 days.\n**Day 16:** Fly from Istanbul to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Athens**Warsaw**Riga**Berlin**Manchester**Seville",
    "ground_truth_durations": "3**4**5**2**5**5**5",
    "num_cities": 7,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Berlin"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Manchester",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Manchester for 5 days. You have to attend a workshop in Manchester between day 15 and day 19. You would like to visit Berlin for 5 days. You want to spend 5 days in Warsaw. You are going to attend a wedding in Warsaw between day 6 and day 10. You want to spend 5 days in Seville. You plan to stay in Riga for 2 days. You want to meet a friend in Riga between day 10 and day 11.\n\nHere are the cities that have direct flights:\nRiga and Berlin, Warsaw and Berlin, Berlin and Manchester, Riga and Manchester, Athens and Manchester, Edinburgh and Seville, Warsaw and Riga, Athens and Warsaw, Edinburgh and Riga, Edinburgh and Athens, from Athens to Riga, Warsaw and Manchester, Edinburgh and Berlin, Athens and Berlin, Manchester and Seville.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Manchester for 5 days. You have to attend a workshop in Manchester between day 15 and day 19. You would like to visit Berlin for 5 days. You want to spend 5 days in Warsaw. You are going to attend a wedding in Warsaw between day 6 and day 10. You want to spend 5 days in Seville. You plan to stay in Riga for 2 days. You want to meet a friend in Riga between day 10 and day 11.\n\nHere are the cities that have direct flights:\nfrom Riga to Berlin, from Warsaw to Berlin, from Berlin to Manchester, from Riga to Manchester, from Athens to Manchester, from Edinburgh to Seville, from Warsaw to Riga, from Athens to Warsaw, from Edinburgh to Riga, from Edinburgh to Athens, from Athens to Riga, from Warsaw to Manchester, from Edinburgh to Berlin, from Athens to Berlin, from Manchester to Seville.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 23 days:\n\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Riga.\n**Day 10-11:** Visit Riga for 2 days.\n**Day 11:** Fly from Riga to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Seville.\n**Day 19-23:** Visit Seville for 5 days.",
    "id": "trip_planning_example_980",
    "estimated_output_tokens": 2138,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Berlin, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Seville, Duration: 5 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 6 - 10.\n* City: Riga, Fixed Schedule: Day 10 - 11.\n* City: Manchester, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Edinburgh, Berlin, Seville] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 10).\n |- The departure day of Athens is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin, Seville] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 6 - 10).\n   |- The departure day of Berlin is Day 8. The arrival day of Warsaw is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 10).\n |- The departure day of Edinburgh is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Berlin, Seville] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 10).\n   |- The departure day of Athens is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 10 - 11).\n     |- The departure day of Warsaw is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Edinburgh, Athens, Warsaw].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Warsaw to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 15 - 19).\n       |- The departure day of Riga is Day 11. The arrival day of Manchester is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Athens, Warsaw, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Seville] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Riga to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 15 - 19).\n         |- The departure day of Berlin is Day 15. The arrival day of Manchester is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Edinburgh, Athens, Warsaw, Riga, Berlin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Berlin to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Edinburgh, Athens, Warsaw, Riga, Berlin, Manchester].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Manchester to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Edinburgh, Athens, Warsaw, Riga, Berlin, Manchester, Seville].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Warsaw.\n**Day 6-10:** Visit Warsaw for 5 days.\n**Day 10:** Fly from Warsaw to Riga.\n**Day 10-11:** Visit Riga for 2 days.\n**Day 11:** Fly from Riga to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Seville.\n**Day 19-23:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Vienna**Paris**Valencia**Stuttgart**Warsaw**Tallinn",
    "ground_truth_durations": "5**4**3**4**2**3**5",
    "num_cities": 7,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Paris",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 8 and day 10. You would like to visit Vienna for 4 days. From day 5 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Santorini for 5 days. You plan to stay in Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 13 and day 14. You would like to visit Warsaw for 3 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nSantorini and Vienna, Paris and Stuttgart, Valencia and Warsaw, Vienna and Warsaw, Vienna and Stuttgart, Valencia and Stuttgart, Warsaw and Tallinn, Vienna and Valencia, Stuttgart and Warsaw, Vienna and Paris, Paris and Warsaw, Paris and Tallinn, Paris and Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 5 days. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 8 and day 10. You would like to visit Vienna for 4 days. From day 5 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Santorini for 5 days. You plan to stay in Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 13 and day 14. You would like to visit Warsaw for 3 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Vienna, from Paris to Stuttgart, from Valencia to Warsaw, from Vienna to Warsaw, from Vienna to Stuttgart, from Valencia to Stuttgart, from Warsaw to Tallinn, from Vienna to Valencia, from Stuttgart to Warsaw, from Vienna to Paris, from Paris to Warsaw, from Paris to Tallinn, from Paris to Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 20 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_981",
    "estimated_output_tokens": 2490,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Santorini, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Warsaw, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 5 - 8.\n* City: Paris, Fixed Schedule: Day 8 - 10.\n* City: Stuttgart, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Santorini, Warsaw, Valencia] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 8).\n |- The departure day of Tallinn is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 8).\n |- The departure day of Santorini is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 8 - 10).\n   |- The departure day of Vienna is Day 8. The arrival day of Paris is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Santorini, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Vienna to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 13 - 14).\n     |- The departure day of Paris is Day 10. The arrival day of Stuttgart is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Vienna, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw, Valencia] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Paris to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 13 - 14).\n       |- The departure day of Tallinn is Day 14. The arrival day of Stuttgart is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Paris to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 13 - 14).\n       |- The departure day of Warsaw is Day 12. The arrival day of Stuttgart is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, Vienna, Paris, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Warsaw to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 13 - 14).\n         |- The departure day of Tallinn is Day 16. The arrival day of Stuttgart is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Warsaw to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 13 - 14).\n       |- The departure day of Valencia is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Santorini, Vienna, Paris, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Valencia to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Vienna, Paris, Valencia, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stuttgart to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stuttgart to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Vienna, Paris, Valencia, Stuttgart, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Santorini, Vienna, Paris, Valencia, Stuttgart, Warsaw, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**London**Lyon**Rome**Helsinki**Dublin**Porto",
    "ground_truth_durations": "2**2**2**5**5**5**3",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "London",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You want to spend 5 days in Helsinki. You would like to visit Lyon for 2 days. You are going to attend a wedding in Lyon between day 3 and day 4. You plan to stay in Rome for 5 days. You have to attend a workshop in Rome between day 4 and day 8. You plan to stay in Krakow for 2 days. You would like to visit Dublin for 5 days. During day 12 and day 16, you have to attend a conference in Dublin. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nRome and Helsinki, Lyon and Rome, Krakow and Helsinki, Lyon and Dublin, Krakow and London, London and Lyon, Helsinki and Dublin, London and Dublin, Krakow and Dublin, Lyon and Porto, London and Helsinki, Rome and Dublin, Dublin and Porto, London and Rome.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 3 days. You want to spend 5 days in Helsinki. You would like to visit Lyon for 2 days. You are going to attend a wedding in Lyon between day 3 and day 4. You plan to stay in Rome for 5 days. You have to attend a workshop in Rome between day 4 and day 8. You plan to stay in Krakow for 2 days. You would like to visit Dublin for 5 days. During day 12 and day 16, you have to attend a conference in Dublin. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nfrom Rome to Helsinki, from Lyon to Rome, from Krakow to Helsinki, from Lyon to Dublin, from Krakow to London, from London to Lyon, from Helsinki to Dublin, from London to Dublin, from Krakow to Dublin, from Lyon to Porto, from London to Helsinki, from Rome to Dublin, from Dublin to Porto, from London to Rome.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Lyon.\n**Day 3-4:** Visit Lyon for 2 days.\n**Day 4:** Fly from Lyon to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Helsinki.\n**Day 8-12:** Visit Helsinki for 5 days.\n**Day 12:** Fly from Helsinki to Dublin.\n**Day 12-16:** Visit Dublin for 5 days.\n**Day 16:** Fly from Dublin to Porto.\n**Day 16-18:** Visit Porto for 3 days.",
    "id": "trip_planning_example_982",
    "estimated_output_tokens": 2277,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Krakow, Duration: 2 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: London, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 3 - 4.\n* City: Rome, Fixed Schedule: Day 4 - 8.\n* City: Dublin, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Helsinki, Krakow, London] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 4).\n |- The departure day of Porto is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 4).\n |- The departure day of Helsinki is Day 5. The arrival day of Lyon is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 3 - 4).\n |- The departure day of Krakow is Day 2. The arrival day of Lyon is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki, London] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Krakow to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 3 - 4).\n   |- The departure day of Helsinki is Day 6. The arrival day of Lyon is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 3 - 4).\n   |- The departure day of London is Day 3. The arrival day of Lyon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Krakow, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from London to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 4 - 8).\n     |- The departure day of Lyon is Day 4. The arrival day of Rome is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Krakow, London, Lyon].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 12 - 16).\n       |- The departure day of Rome is Day 8. The arrival day of Dublin is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Krakow, London, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki] and explore these options in order.\n         |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Rome to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Rome to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 12 - 16).\n         |- The departure day of Helsinki is Day 12. The arrival day of Dublin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Krakow, London, Lyon, Rome, Helsinki].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Dublin.\n           |- Try arranging to visit Dublin from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Helsinki to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, London, Lyon, Rome, Helsinki, Dublin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Dublin to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Krakow, London, Lyon, Rome, Helsinki, Dublin, Porto].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Lyon.\n**Day 3-4:** Visit Lyon for 2 days.\n**Day 4:** Fly from Lyon to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Helsinki.\n**Day 8-12:** Visit Helsinki for 5 days.\n**Day 12:** Fly from Helsinki to Dublin.\n**Day 12-16:** Visit Dublin for 5 days.\n**Day 16:** Fly from Dublin to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Manchester**Stuttgart**Istanbul**Salzburg**Berlin**Vilnius",
    "ground_truth_durations": "2**5**3**4**4**4**5",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Istanbul",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 6 and day 8. You plan to stay in Manchester for 5 days. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 17 and day 21. You would like to visit Seville for 2 days. You plan to stay in Salzburg for 4 days. You would like to visit Istanbul for 4 days. From day 8 to day 11, there is a annual show you want to attend in Istanbul. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nBerlin and Vilnius, Manchester and Berlin, Manchester and Stuttgart, Seville and Manchester, Salzburg and Berlin, Stuttgart and Istanbul, Istanbul and Vilnius, Manchester and Istanbul, Istanbul and Salzburg, Stuttgart and Berlin, Istanbul and Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 6 and day 8. You plan to stay in Manchester for 5 days. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 17 and day 21. You would like to visit Seville for 2 days. You plan to stay in Salzburg for 4 days. You would like to visit Istanbul for 4 days. From day 8 to day 11, there is a annual show you want to attend in Istanbul. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Vilnius, from Manchester to Berlin, from Manchester to Stuttgart, from Seville to Manchester, from Salzburg to Berlin, from Stuttgart to Istanbul, from Istanbul to Vilnius, from Manchester to Istanbul, from Istanbul to Salzburg, from Stuttgart to Berlin, from Istanbul to Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Manchester.\n**Day 2-6:** Visit Manchester for 5 days.\n**Day 6:** Fly from Manchester to Stuttgart.\n**Day 6-8:** Visit Stuttgart for 3 days.\n**Day 8:** Fly from Stuttgart to Istanbul.\n**Day 8-11:** Visit Istanbul for 4 days.\n**Day 11:** Fly from Istanbul to Salzburg.\n**Day 11-14:** Visit Salzburg for 4 days.\n**Day 14:** Fly from Salzburg to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Vilnius.\n**Day 17-21:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_983",
    "estimated_output_tokens": 2199,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Manchester, Duration: 5 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Seville, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 6 - 8.\n* City: Istanbul, Fixed Schedule: Day 8 - 11.\n* City: Vilnius, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Manchester, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Seville, Salzburg, Berlin] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 8).\n |- The departure day of Manchester is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Salzburg, Berlin] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Manchester to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 8).\n   |- The departure day of Berlin is Day 8. The arrival day of Stuttgart is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 8).\n |- The departure day of Seville is Day 2. The arrival day of Stuttgart is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Salzburg, Berlin] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 6 - 8).\n   |- The departure day of Manchester is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Manchester to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 8 - 11).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Istanbul is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Seville, Manchester, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Stuttgart to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 17 - 21).\n       |- The departure day of Istanbul is Day 11. The arrival day of Vilnius is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Seville, Manchester, Stuttgart, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Istanbul to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 17 - 21).\n         |- The departure day of Salzburg is Day 14. The arrival day of Vilnius is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Manchester, Stuttgart, Istanbul, Salzburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Salzburg to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 17 - 21).\n           |- The departure day of Berlin is Day 17. The arrival day of Vilnius is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Manchester, Stuttgart, Istanbul, Salzburg, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Berlin to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Seville, Manchester, Stuttgart, Istanbul, Salzburg, Berlin, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Manchester.\n**Day 2-6:** Visit Manchester for 5 days.\n**Day 6:** Fly from Manchester to Stuttgart.\n**Day 6-8:** Visit Stuttgart for 3 days.\n**Day 8:** Fly from Stuttgart to Istanbul.\n**Day 8-11:** Visit Istanbul for 4 days.\n**Day 11:** Fly from Istanbul to Salzburg.\n**Day 11-14:** Visit Salzburg for 4 days.\n**Day 14:** Fly from Salzburg to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Vilnius.\n**Day 17-21:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Bucharest**Istanbul**Stuttgart**Stockholm**Oslo**Brussels",
    "ground_truth_durations": "2**3**2**3**2**5**2",
    "num_cities": 7,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You want to meet a friend in Oslo between day 8 and day 12. You want to spend 3 days in Bucharest. You want to spend 3 days in Stuttgart. During day 5 and day 7, you have to attend a conference in Stuttgart. You want to spend 2 days in Istanbul. You want to spend 2 days in Brussels. You want to spend 2 days in Santorini. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nStockholm and Brussels, Istanbul and Brussels, Stuttgart and Stockholm, Istanbul and Stockholm, Bucharest and Brussels, from Santorini to Oslo, Stockholm and Oslo, Bucharest and Oslo, Santorini and Bucharest, Bucharest and Istanbul, Istanbul and Oslo, Oslo and Brussels, from Stockholm to Santorini, Istanbul and Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You want to meet a friend in Oslo between day 8 and day 12. You want to spend 3 days in Bucharest. You want to spend 3 days in Stuttgart. During day 5 and day 7, you have to attend a conference in Stuttgart. You want to spend 2 days in Istanbul. You want to spend 2 days in Brussels. You want to spend 2 days in Santorini. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Brussels, from Istanbul to Brussels, from Stuttgart to Stockholm, from Istanbul to Stockholm, from Bucharest to Brussels, from Santorini to Oslo, from Stockholm to Oslo, from Bucharest to Oslo, from Santorini to Bucharest, from Bucharest to Istanbul, from Istanbul to Oslo, from Oslo to Brussels, from Stockholm to Santorini, from Istanbul to Stuttgart.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 13 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Bucharest.\n**Day 2-4:** Visit Bucharest for 3 days.\n**Day 4:** Fly from Bucharest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.\n**Day 7:** Fly from Stuttgart to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Brussels.\n**Day 12-13:** Visit Brussels for 2 days.",
    "id": "trip_planning_example_984",
    "estimated_output_tokens": 5242,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Istanbul, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 5 - 7.\n* City: Oslo, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Istanbul, Brussels, Santorini, Stockholm] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 7).\n |- The departure day of Bucharest is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Brussels, Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 7).\n   |- The departure day of Istanbul is Day 4. The arrival day of Stuttgart is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 5 - 7).\n     |- The departure day of Brussels is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Istanbul, Brussels].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Brussels to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 5 - 7).\n     |- The departure day of Stockholm is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Istanbul, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stockholm to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 7).\n   |- The departure day of Brussels is Day 4. The arrival day of Stuttgart is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Brussels].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Brussels to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Brussels to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Brussels to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 7).\n |- The departure day of Istanbul is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Brussels, Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 5 - 7).\n   |- The departure day of Brussels is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Istanbul, Brussels].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Brussels to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Brussels to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Brussels to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 5 - 7).\n   |- The departure day of Stockholm is Day 3. The arrival day of Stuttgart is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Istanbul, Stockholm].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Brussels, Santorini] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stockholm to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stockholm to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 7).\n     |- The departure day of Brussels is Day 4. The arrival day of Stuttgart is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Istanbul, Stockholm, Brussels].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Brussels to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Brussels to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 5 - 7).\n     |- The departure day of Santorini is Day 4. The arrival day of Stuttgart is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Istanbul, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Brussels] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Santorini to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 5 - 7).\n       |- The departure day of Bucharest is Day 6. The arrival day of Stuttgart is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Santorini to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 7).\n |- The departure day of Brussels is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Istanbul, Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Brussels to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Brussels to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Brussels to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 5 - 7).\n |- The departure day of Santorini is Day 2. The arrival day of Stuttgart is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Istanbul, Brussels, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 5 - 7).\n   |- The departure day of Bucharest is Day 4. The arrival day of Stuttgart is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Brussels, Stockholm] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 5 - 7).\n     |- The departure day of Istanbul is Day 5. The arrival day of Stuttgart is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Bucharest, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Istanbul to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 8 - 12).\n       |- The departure day of Stuttgart is Day 7. The arrival day of Oslo is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Santorini, Bucharest, Istanbul, Stuttgart].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Stockholm] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Stuttgart to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Stuttgart to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 8 - 12).\n         |- The departure day of Stockholm is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Santorini, Bucharest, Istanbul, Stuttgart, Stockholm].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Stockholm to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Santorini, Bucharest, Istanbul, Stuttgart, Stockholm, Oslo].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Oslo to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Santorini, Bucharest, Istanbul, Stuttgart, Stockholm, Oslo, Brussels].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Bucharest.\n**Day 2-4:** Visit Bucharest for 3 days.\n**Day 4:** Fly from Bucharest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Stuttgart.\n**Day 5-7:** Visit Stuttgart for 3 days.\n**Day 7:** Fly from Stuttgart to Stockholm.\n**Day 7-8:** Visit Stockholm for 2 days.\n**Day 8:** Fly from Stockholm to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Brussels.\n**Day 12-13:** Visit Brussels for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Geneva**Porto**Valencia**Bucharest**Brussels**Tallinn",
    "ground_truth_durations": "2**2**4**3**3**4**4",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Porto",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You would like to visit Geneva for 2 days. You are going to attend a wedding in Geneva between day 2 and day 3. You want to spend 4 days in Tallinn. You plan to stay in Naples for 2 days. You want to meet a friend in Naples between day 1 and day 2. You plan to stay in Valencia for 3 days. You want to spend 4 days in Porto. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nNaples and Bucharest, Geneva and Porto, Bucharest and Brussels, Naples and Brussels, Naples and Valencia, Porto and Valencia, Brussels and Tallinn, Geneva and Valencia, Geneva and Brussels, Valencia and Bucharest, Naples and Geneva, Valencia and Brussels, Porto and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 3 days. You would like to visit Geneva for 2 days. You are going to attend a wedding in Geneva between day 2 and day 3. You want to spend 4 days in Tallinn. You plan to stay in Naples for 2 days. You want to meet a friend in Naples between day 1 and day 2. You plan to stay in Valencia for 3 days. You want to spend 4 days in Porto. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Bucharest, from Geneva to Porto, from Bucharest to Brussels, from Naples to Brussels, from Naples to Valencia, from Porto to Valencia, from Brussels to Tallinn, from Geneva to Valencia, from Geneva to Brussels, from Valencia to Bucharest, from Naples to Geneva, from Valencia to Brussels, from Porto to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Geneva.\n**Day 2-3:** Visit Geneva for 2 days.\n**Day 3:** Fly from Geneva to Porto.\n**Day 3-6:** Visit Porto for 4 days.\n**Day 6:** Fly from Porto to Valencia.\n**Day 6-8:** Visit Valencia for 3 days.\n**Day 8:** Fly from Valencia to Bucharest.\n**Day 8-10:** Visit Bucharest for 3 days.\n**Day 10:** Fly from Bucharest to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_985",
    "estimated_output_tokens": 3395,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 3 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Tallinn, Duration: 4 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n* City: Brussels, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 2.\n* City: Geneva, Fixed Schedule: Day 2 - 3.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n* City: Brussels, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 2 - 3).\n |- The departure day of Naples is Day 2. The arrival day of Geneva is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Naples to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Naples, Geneva].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Valencia, Porto, Brussels] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Geneva to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Naples, Geneva, Valencia].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Porto, Brussels] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Valencia to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Naples, Geneva, Valencia, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto, Brussels] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Geneva, Valencia, Bucharest, Brussels].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Brussels to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Naples, Geneva, Valencia, Bucharest, Brussels, Tallinn].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Tallinn to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Brussels to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Valencia to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Valencia to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Valencia to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Geneva, Valencia, Brussels].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Porto] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Brussels to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Brussels to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Naples, Geneva, Valencia, Brussels, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Porto] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Tallinn to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Tallinn to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Brussels to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Geneva, Porto].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Valencia, Brussels] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Porto to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Porto to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Porto to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Geneva, Porto, Valencia].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Brussels] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Geneva, Porto, Valencia, Bucharest].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Brussels] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Bucharest to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Bucharest to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Naples, Geneva, Porto, Valencia, Bucharest, Brussels].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Brussels to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Naples, Geneva, Porto, Valencia, Bucharest, Brussels, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Geneva.\n**Day 2-3:** Visit Geneva for 2 days.\n**Day 3:** Fly from Geneva to Porto.\n**Day 3-6:** Visit Porto for 4 days.\n**Day 6:** Fly from Porto to Valencia.\n**Day 6-8:** Visit Valencia for 3 days.\n**Day 8:** Fly from Valencia to Bucharest.\n**Day 8-10:** Visit Bucharest for 3 days.\n**Day 10:** Fly from Bucharest to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Tallinn.\n**Day 13-16:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Lyon**Brussels**Helsinki**Hamburg**Geneva**Santorini",
    "ground_truth_durations": "3**4**4**5**5**4**2",
    "num_cities": 7,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Brussels",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You are going to attend a wedding in Lisbon between day 1 and day 3. You want to spend 5 days in Hamburg. From day 13 to day 17, there is a annual show you want to attend in Hamburg. You plan to stay in Brussels for 4 days. You plan to stay in Geneva for 4 days. You want to spend 2 days in Santorini. You would like to visit Helsinki for 5 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nLisbon and Hamburg, Brussels and Geneva, Lisbon and Geneva, Helsinki and Geneva, Lisbon and Helsinki, Brussels and Helsinki, Lisbon and Lyon, Lyon and Brussels, Lisbon and Brussels, Geneva and Santorini, Helsinki and Hamburg, from Hamburg to Geneva, Brussels and Hamburg.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Lisbon. You are going to attend a wedding in Lisbon between day 1 and day 3. You want to spend 5 days in Hamburg. From day 13 to day 17, there is a annual show you want to attend in Hamburg. You plan to stay in Brussels for 4 days. You plan to stay in Geneva for 4 days. You want to spend 2 days in Santorini. You would like to visit Helsinki for 5 days. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Hamburg, from Brussels to Geneva, from Lisbon to Geneva, from Helsinki to Geneva, from Lisbon to Helsinki, from Brussels to Helsinki, from Lisbon to Lyon, from Lyon to Brussels, from Lisbon to Brussels, from Geneva to Santorini, from Helsinki to Hamburg, from Hamburg to Geneva, from Brussels to Hamburg.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 21 days:\n\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-9:** Visit Brussels for 4 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Hamburg.\n**Day 13-17:** Visit Hamburg for 5 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-21:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_986",
    "estimated_output_tokens": 5517,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Brussels, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 13 - 17).\n |- The departure day of Lisbon is Day 3. The arrival day of Hamburg is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Geneva, Santorini, Helsinki, Lyon] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 13 - 17).\n   |- The departure day of Brussels is Day 6. The arrival day of Hamburg is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Helsinki, Lyon] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 13 - 17).\n     |- The departure day of Geneva is Day 9. The arrival day of Hamburg is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Brussels, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Helsinki, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 17).\n       |- The departure day of Santorini is Day 10. The arrival day of Hamburg is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Brussels, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Lyon] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Brussels to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 13 - 17).\n     |- The departure day of Helsinki is Day 10. The arrival day of Hamburg is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Lyon] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Helsinki to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 13 - 17).\n       |- The departure day of Geneva is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Brussels, Helsinki, Geneva].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Geneva to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Helsinki to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Helsinki to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 13 - 17).\n   |- The departure day of Geneva is Day 6. The arrival day of Hamburg is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Helsinki, Lyon] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 13 - 17).\n     |- The departure day of Santorini is Day 7. The arrival day of Hamburg is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lisbon, Geneva, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Helsinki, Lyon] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Santorini to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Santorini to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Santorini to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 13 - 17).\n   |- The departure day of Helsinki is Day 7. The arrival day of Hamburg is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lisbon, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Geneva, Santorini, Lyon] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 13 - 17).\n     |- The departure day of Geneva is Day 10. The arrival day of Hamburg is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Helsinki, Geneva].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Lyon] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Geneva to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 13 - 17).\n       |- The departure day of Santorini is Day 11. The arrival day of Hamburg is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lisbon, Helsinki, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Lyon] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 13 - 17).\n   |- The departure day of Lyon is Day 6. The arrival day of Hamburg is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Geneva, Santorini, Helsinki] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lyon to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 13 - 17).\n     |- The departure day of Brussels is Day 9. The arrival day of Hamburg is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Lyon, Brussels].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Helsinki] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Brussels to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 17).\n       |- The departure day of Geneva is Day 12. The arrival day of Hamburg is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Lyon, Brussels, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Helsinki] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Geneva to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 13 - 17).\n         |- The departure day of Santorini is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lisbon, Lyon, Brussels, Geneva, Santorini].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Santorini to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Geneva to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Brussels to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Brussels to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 17).\n       |- The departure day of Helsinki is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Lyon, Brussels, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Helsinki to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lisbon, Lyon, Brussels, Helsinki, Hamburg].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Hamburg to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Lisbon, Lyon, Brussels, Helsinki, Hamburg, Geneva].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Geneva to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lisbon, Lyon, Brussels, Helsinki, Hamburg, Geneva, Santorini].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Brussels.\n**Day 6-9:** Visit Brussels for 4 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Hamburg.\n**Day 13-17:** Visit Hamburg for 5 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-21:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Istanbul**Venice**Santorini**Madrid**Valencia**Athens",
    "ground_truth_durations": "5**2**4**2**4**2**3",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Venice",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You plan to visit relatives in Santorini between day 9 and day 10. You want to spend 3 days in Athens. You would like to visit Valencia for 2 days. During day 13 and day 14, you have to attend a conference in Valencia. You want to spend 4 days in Venice. You plan to stay in Madrid for 4 days. You want to spend 5 days in Helsinki. You would like to visit Istanbul for 2 days. You have to attend a workshop in Istanbul between day 5 and day 6.\n\nHere are the cities that have direct flights:\nSantorini and Madrid, Venice and Santorini, Venice and Athens, Istanbul and Valencia, Helsinki and Venice, Helsinki and Madrid, Madrid and Valencia, Istanbul and Madrid, Santorini and Athens, Helsinki and Istanbul, Istanbul and Athens, Istanbul and Venice, from Valencia to Athens, Madrid and Athens, Venice and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You plan to visit relatives in Santorini between day 9 and day 10. You want to spend 3 days in Athens. You would like to visit Valencia for 2 days. During day 13 and day 14, you have to attend a conference in Valencia. You want to spend 4 days in Venice. You plan to stay in Madrid for 4 days. You want to spend 5 days in Helsinki. You would like to visit Istanbul for 2 days. You have to attend a workshop in Istanbul between day 5 and day 6.\n\nHere are the cities that have direct flights:\nfrom Santorini to Madrid, from Venice to Santorini, from Venice to Athens, from Istanbul to Valencia, from Helsinki to Venice, from Helsinki to Madrid, from Madrid to Valencia, from Istanbul to Madrid, from Santorini to Athens, from Helsinki to Istanbul, from Istanbul to Athens, from Istanbul to Venice, from Valencia to Athens, from Madrid to Athens, from Venice to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-16:** Visit Athens for 3 days.",
    "id": "trip_planning_example_987",
    "estimated_output_tokens": 3530,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Athens, Duration: 3 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Venice, Duration: 4 days.\n* City: Madrid, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 6.\n* City: Santorini, Fixed Schedule: Day 9 - 10.\n* City: Valencia, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Madrid, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Venice, Madrid, Helsinki] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Athens is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Madrid, Helsinki] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Venice is Day 4. The arrival day of Istanbul is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Madrid, Helsinki] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 6).\n   |- The departure day of Athens is Day 6. The arrival day of Istanbul is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 6).\n   |- The departure day of Madrid is Day 7. The arrival day of Istanbul is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Venice to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Madrid is Day 4. The arrival day of Istanbul is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Helsinki] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 6).\n   |- The departure day of Athens is Day 6. The arrival day of Istanbul is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Madrid to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Madrid to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Helsinki is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 9 - 10).\n   |- The departure day of Istanbul is Day 6. The arrival day of Santorini is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Madrid] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Istanbul to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 9 - 10).\n     |- The departure day of Athens is Day 8. The arrival day of Santorini is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Istanbul, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Madrid] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 9 - 10).\n     |- The departure day of Venice is Day 9. The arrival day of Santorini is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Istanbul, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 14).\n       |- The departure day of Santorini is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Helsinki, Istanbul, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Madrid] and explore these options in order.\n         |- Try arranging to visit Athens from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Santorini to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 13 - 14).\n         |- The departure day of Athens is Day 12. The arrival day of Valencia is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Helsinki, Istanbul, Venice, Santorini, Athens].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Athens to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Madrid from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 13 - 14).\n         |- The departure day of Madrid is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Istanbul, Venice, Santorini, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Madrid to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Istanbul, Venice, Santorini, Madrid, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n             |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Helsinki, Istanbul, Venice, Santorini, Madrid, Valencia, Athens].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Mykonos**Vienna**Reykjavik**Lisbon**Zurich**Tallinn",
    "ground_truth_durations": "3**3**3**2**5**3**4",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Vienna",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Athens. You want to spend 3 days in Zurich. You plan to stay in Reykjavik for 2 days. You plan to stay in Tallinn for 4 days. You would like to meet your friends at Tallinn between day 14 and day 17 to tour together. You plan to stay in Mykonos for 3 days. From day 3 to day 5, there is a annual show you want to attend in Mykonos. You want to spend 5 days in Lisbon. You are going to attend a wedding in Lisbon between day 8 and day 12. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Mykonos, Athens and Vienna, Vienna and Lisbon, Athens and Zurich, Reykjavik and Zurich, Athens and Lisbon, Zurich and Tallinn, Mykonos and Zurich, Vienna and Reykjavik, Lisbon and Zurich, Reykjavik and Lisbon, from Reykjavik to Athens, Mykonos and Vienna, Vienna and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Athens. You want to spend 3 days in Zurich. You plan to stay in Reykjavik for 2 days. You plan to stay in Tallinn for 4 days. You would like to meet your friends at Tallinn between day 14 and day 17 to tour together. You plan to stay in Mykonos for 3 days. From day 3 to day 5, there is a annual show you want to attend in Mykonos. You want to spend 5 days in Lisbon. You are going to attend a wedding in Lisbon between day 8 and day 12. You would like to visit Vienna for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Mykonos, from Athens to Vienna, from Vienna to Lisbon, from Athens to Zurich, from Reykjavik to Zurich, from Athens to Lisbon, from Zurich to Tallinn, from Mykonos to Zurich, from Vienna to Reykjavik, from Lisbon to Zurich, from Reykjavik to Lisbon, from Reykjavik to Athens, from Mykonos to Vienna, from Vienna to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Mykonos.\n**Day 3-5:** Visit Mykonos for 3 days.\n**Day 5:** Fly from Mykonos to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.\n**Day 8:** Fly from Reykjavik to Lisbon.\n**Day 8-12:** Visit Lisbon for 5 days.\n**Day 12:** Fly from Lisbon to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_988",
    "estimated_output_tokens": 2317,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Vienna, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 3 - 5.\n* City: Lisbon, Fixed Schedule: Day 8 - 12.\n* City: Tallinn, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Zurich, Reykjavik, Vienna] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 3 - 5).\n |- The departure day of Athens is Day 3. The arrival day of Mykonos is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Mykonos.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 8 - 12).\n   |- The departure day of Mykonos is Day 5. The arrival day of Lisbon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Mykonos].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Reykjavik, Vienna] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Mykonos to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 12).\n     |- The departure day of Zurich is Day 7. The arrival day of Lisbon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Athens, Mykonos, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vienna] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Zurich to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Zurich to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Mykonos to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Mykonos to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 12).\n     |- The departure day of Vienna is Day 7. The arrival day of Lisbon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Athens, Mykonos, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vienna to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 8 - 12).\n       |- The departure day of Zurich is Day 9. The arrival day of Lisbon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 8 - 12).\n       |- The departure day of Reykjavik is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Athens, Mykonos, Vienna, Reykjavik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 14 - 17).\n         |- The departure day of Lisbon is Day 12. The arrival day of Tallinn is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Athens, Mykonos, Vienna, Reykjavik, Lisbon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Lisbon to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 14 - 17).\n           |- The departure day of Zurich is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Athens, Mykonos, Vienna, Reykjavik, Lisbon, Zurich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Zurich to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Athens, Mykonos, Vienna, Reykjavik, Lisbon, Zurich, Tallinn].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Mykonos.\n**Day 3-5:** Visit Mykonos for 3 days.\n**Day 5:** Fly from Mykonos to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.\n**Day 8:** Fly from Reykjavik to Lisbon.\n**Day 8-12:** Visit Lisbon for 5 days.\n**Day 12:** Fly from Lisbon to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Helsinki**Krakow**Warsaw**Naples**Vienna**Florence",
    "ground_truth_durations": "5**4**4**5**3**5**2",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Vienna"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Warsaw. You would like to meet your friends at Warsaw between day 11 and day 15 to tour together. You would like to visit Florence for 2 days. You have to attend a workshop in Florence between day 21 and day 22. You want to spend 4 days in Helsinki. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 8 and day 11. You want to spend 5 days in Vienna. You would like to visit Tallinn for 5 days. You want to spend 3 days in Naples.\n\nHere are the cities that have direct flights:\nNaples and Vienna, Warsaw and Naples, Tallinn and Warsaw, Helsinki and Krakow, Helsinki and Warsaw, Warsaw and Vienna, Vienna and Florence, Helsinki and Vienna, Krakow and Vienna, Helsinki and Naples, Krakow and Warsaw, Tallinn and Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Warsaw. You would like to meet your friends at Warsaw between day 11 and day 15 to tour together. You would like to visit Florence for 2 days. You have to attend a workshop in Florence between day 21 and day 22. You want to spend 4 days in Helsinki. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 8 and day 11. You want to spend 5 days in Vienna. You would like to visit Tallinn for 5 days. You want to spend 3 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Naples to Vienna, from Warsaw to Naples, from Tallinn to Warsaw, from Helsinki to Krakow, from Helsinki to Warsaw, from Warsaw to Vienna, from Vienna to Florence, from Helsinki to Vienna, from Krakow to Vienna, from Helsinki to Naples, from Krakow to Warsaw, from Tallinn to Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Naples.\n**Day 15-17:** Visit Naples for 3 days.\n**Day 17:** Fly from Naples to Vienna.\n**Day 17-21:** Visit Vienna for 5 days.\n**Day 21:** Fly from Vienna to Florence.\n**Day 21-22:** Visit Florence for 2 days.",
    "id": "trip_planning_example_989",
    "estimated_output_tokens": 3264,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Helsinki, Duration: 4 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Vienna, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 8 - 11.\n* City: Warsaw, Fixed Schedule: Day 11 - 15.\n* City: Florence, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Vienna, Tallinn, Naples] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Helsinki is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Tallinn, Naples] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 11).\n   |- The departure day of Vienna is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Helsinki, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 11).\n   |- The departure day of Naples is Day 6. The arrival day of Krakow is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Tallinn] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 8 - 11).\n     |- The departure day of Vienna is Day 10. The arrival day of Krakow is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Vienna is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Tallinn, Naples] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vienna to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 11).\n |- The departure day of Tallinn is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vienna, Naples] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 8 - 11).\n   |- The departure day of Helsinki is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Tallinn, Helsinki].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 11 - 15).\n     |- The departure day of Krakow is Day 11. The arrival day of Warsaw is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Tallinn, Helsinki, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Krakow to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 21 - 22).\n       |- The departure day of Warsaw is Day 15. The arrival day of Florence is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Tallinn, Helsinki, Krakow, Warsaw].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Naples] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Warsaw to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 21 - 22).\n         |- The departure day of Vienna is Day 19. The arrival day of Florence is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Tallinn, Helsinki, Krakow, Warsaw, Vienna].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Vienna to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Warsaw to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 21 - 22).\n         |- The departure day of Naples is Day 17. The arrival day of Florence is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Tallinn, Helsinki, Krakow, Warsaw, Naples].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Naples to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 21 - 22).\n           |- The departure day of Vienna is Day 21. The arrival day of Florence is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Tallinn, Helsinki, Krakow, Warsaw, Naples, Vienna].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Vienna to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Tallinn, Helsinki, Krakow, Warsaw, Naples, Vienna, Florence].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Naples.\n**Day 15-17:** Visit Naples for 3 days.\n**Day 17:** Fly from Naples to Vienna.\n**Day 17-21:** Visit Vienna for 5 days.\n**Day 21:** Fly from Vienna to Florence.\n**Day 21-22:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Rome**Reykjavik**Berlin**Istanbul**Tallinn**Warsaw",
    "ground_truth_durations": "2**3**2**5**3**5**4",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Berlin",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You plan to stay in Reykjavik for 2 days. You would like to visit Berlin for 5 days. You plan to visit relatives in Berlin between day 5 and day 9. You plan to stay in Rome for 3 days. You would like to meet your friends at Rome between day 2 and day 4 to tour together. You plan to stay in Tallinn for 5 days. You plan to stay in Hamburg for 2 days. You plan to stay in Warsaw for 4 days. You have to attend a workshop in Warsaw between day 15 and day 18.\n\nHere are the cities that have direct flights:\nHamburg and Istanbul, Rome and Warsaw, Istanbul and Warsaw, Berlin and Warsaw, Reykjavik and Warsaw, Rome and Istanbul, Hamburg and Rome, Rome and Berlin, Tallinn and Warsaw, Reykjavik and Berlin, from Istanbul to Tallinn, Berlin and Tallinn, Rome and Reykjavik, Hamburg and Warsaw, Berlin and Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You plan to stay in Reykjavik for 2 days. You would like to visit Berlin for 5 days. You plan to visit relatives in Berlin between day 5 and day 9. You plan to stay in Rome for 3 days. You would like to meet your friends at Rome between day 2 and day 4 to tour together. You plan to stay in Tallinn for 5 days. You plan to stay in Hamburg for 2 days. You plan to stay in Warsaw for 4 days. You have to attend a workshop in Warsaw between day 15 and day 18.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Istanbul, from Rome to Warsaw, from Istanbul to Warsaw, from Berlin to Warsaw, from Reykjavik to Warsaw, from Rome to Istanbul, from Hamburg to Rome, from Rome to Berlin, from Tallinn to Warsaw, from Reykjavik to Berlin, from Istanbul to Tallinn, from Berlin to Tallinn, from Rome to Reykjavik, from Hamburg to Warsaw, from Berlin to Istanbul.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-15:** Visit Tallinn for 5 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_990",
    "estimated_output_tokens": 2391,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 2 - 4.\n* City: Berlin, Fixed Schedule: Day 5 - 9.\n* City: Warsaw, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik, Tallinn, Hamburg] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Istanbul is Day 3. The arrival day of Rome is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Reykjavik is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Tallinn is Day 5. The arrival day of Rome is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Hamburg is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of Rome is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik, Tallinn] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of Istanbul is Day 6. The arrival day of Berlin is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Hamburg, Rome, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 15 - 18).\n       |- The departure day of Berlin is Day 9. The arrival day of Warsaw is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Rome, Reykjavik, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 15 - 18).\n         |- The departure day of Istanbul is Day 11. The arrival day of Warsaw is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Rome, Reykjavik, Berlin, Istanbul].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Istanbul to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 15 - 18).\n           |- The departure day of Tallinn is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Rome, Reykjavik, Berlin, Istanbul, Tallinn].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Tallinn to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Hamburg, Rome, Reykjavik, Berlin, Istanbul, Tallinn, Warsaw].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-15:** Visit Tallinn for 5 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Lyon**Bucharest**Munich**Dubrovnik**Frankfurt**Salzburg",
    "ground_truth_durations": "2**4**2**3**4**2**5",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Bucharest",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You plan to stay in London for 2 days. You want to spend 5 days in Salzburg. You want to spend 4 days in Lyon. From day 2 to day 5, there is a annual show you want to attend in Lyon. You plan to stay in Bucharest for 2 days. You would like to meet your friends at Bucharest between day 5 and day 6 to tour together. You want to spend 3 days in Munich. During day 6 and day 8, you have to attend a conference in Munich. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Salzburg, Lyon and Munich, Lyon and Bucharest, London and Frankfurt, Munich and Frankfurt, Munich and Dubrovnik, London and Lyon, Bucharest and Frankfurt, London and Bucharest, Dubrovnik and Frankfurt, Lyon and Frankfurt, London and Munich, Bucharest and Munich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Frankfurt. You plan to stay in London for 2 days. You want to spend 5 days in Salzburg. You want to spend 4 days in Lyon. From day 2 to day 5, there is a annual show you want to attend in Lyon. You plan to stay in Bucharest for 2 days. You would like to meet your friends at Bucharest between day 5 and day 6 to tour together. You want to spend 3 days in Munich. During day 6 and day 8, you have to attend a conference in Munich. You plan to stay in Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Salzburg, from Lyon to Munich, from Lyon to Bucharest, from London to Frankfurt, from Munich to Frankfurt, from Munich to Dubrovnik, from London to Lyon, from Bucharest to Frankfurt, from London to Bucharest, from Dubrovnik to Frankfurt, from Lyon to Frankfurt, from London to Munich, from Bucharest to Munich.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Lyon.\n**Day 2-5:** Visit Lyon for 4 days.\n**Day 5:** Fly from Lyon to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Frankfurt.\n**Day 11-12:** Visit Frankfurt for 2 days.\n**Day 12:** Fly from Frankfurt to Salzburg.\n**Day 12-16:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_991",
    "estimated_output_tokens": 2430,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Salzburg, Duration: 5 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 2 - 5.\n* City: Bucharest, Fixed Schedule: Day 5 - 6.\n* City: Munich, Fixed Schedule: Day 6 - 8.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Salzburg, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, London, Salzburg, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 5).\n |- The departure day of Frankfurt is Day 2. The arrival day of Lyon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Frankfurt to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 5).\n |- The departure day of London is Day 2. The arrival day of Lyon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 5 - 6).\n   |- The departure day of Lyon is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Lyon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lyon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 6 - 8).\n     |- The departure day of Bucharest is Day 6. The arrival day of Munich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [London, Lyon, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Bucharest to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [London, Lyon, Bucharest, Munich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Munich to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [London, Lyon, Bucharest, Munich, Frankfurt].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [London, Lyon, Bucharest, Munich, Frankfurt, Salzburg].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Salzburg to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Munich to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Munich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [London, Lyon, Bucharest, Munich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Dubrovnik to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [London, Lyon, Bucharest, Munich, Dubrovnik, Frankfurt].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [London, Lyon, Bucharest, Munich, Dubrovnik, Frankfurt, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Lyon.\n**Day 2-5:** Visit Lyon for 4 days.\n**Day 5:** Fly from Lyon to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Munich.\n**Day 6-8:** Visit Munich for 3 days.\n**Day 8:** Fly from Munich to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Frankfurt.\n**Day 11-12:** Visit Frankfurt for 2 days.\n**Day 12:** Fly from Frankfurt to Salzburg.\n**Day 12-16:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Geneva**Helsinki**Vilnius**Vienna**Stuttgart",
    "ground_truth_durations": "4**5**4**3**2**4**2",
    "num_cities": 7,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 14,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Geneva",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You would like to visit Helsinki for 3 days. You plan to stay in Vilnius for 2 days. You want to meet a friend in Vilnius between day 13 and day 14. You would like to visit Salzburg for 4 days. You plan to stay in Hamburg for 5 days. You want to spend 2 days in Stuttgart. You would like to visit Vienna for 4 days. From day 14 to day 17, there is a annual show you want to attend in Vienna.\n\nHere are the cities that have direct flights:\nSalzburg and Hamburg, from Hamburg to Geneva, Hamburg and Vienna, Vienna and Stuttgart, Hamburg and Helsinki, Helsinki and Vilnius, Vilnius and Vienna, Geneva and Helsinki, Helsinki and Vienna, Hamburg and Stuttgart, Geneva and Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You would like to visit Helsinki for 3 days. You plan to stay in Vilnius for 2 days. You want to meet a friend in Vilnius between day 13 and day 14. You would like to visit Salzburg for 4 days. You plan to stay in Hamburg for 5 days. You want to spend 2 days in Stuttgart. You would like to visit Vienna for 4 days. From day 14 to day 17, there is a annual show you want to attend in Vienna.\n\nHere are the cities that have direct flights:\nfrom Salzburg to Hamburg, from Hamburg to Geneva, from Hamburg to Vienna, from Vienna to Stuttgart, from Hamburg to Helsinki, from Helsinki to Vilnius, from Vilnius to Vienna, from Geneva to Helsinki, from Helsinki to Vienna, from Hamburg to Stuttgart, from Geneva to Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 18 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Geneva.\n**Day 8-11:** Visit Geneva for 4 days.\n**Day 11:** Fly from Geneva to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Vienna.\n**Day 14-17:** Visit Vienna for 4 days.\n**Day 17:** Fly from Vienna to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_992",
    "estimated_output_tokens": 2947,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Salzburg, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 13 - 14.\n* City: Vienna, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Geneva, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Salzburg, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Helsinki, Salzburg, Hamburg, Stuttgart] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 13 - 14).\n |- The departure day of Geneva is Day 4. The arrival day of Vilnius is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Salzburg, Hamburg, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 13 - 14).\n   |- The departure day of Helsinki is Day 6. The arrival day of Vilnius is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Hamburg, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 13 - 14).\n |- The departure day of Helsinki is Day 3. The arrival day of Vilnius is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Salzburg, Hamburg, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Helsinki to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Helsinki to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 13 - 14).\n |- The departure day of Salzburg is Day 4. The arrival day of Vilnius is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Helsinki, Hamburg, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Salzburg to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Salzburg to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 13 - 14).\n   |- The departure day of Hamburg is Day 8. The arrival day of Vilnius is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Helsinki, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 13 - 14).\n     |- The departure day of Geneva is Day 11. The arrival day of Vilnius is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Salzburg, Hamburg, Geneva].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Geneva to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 13 - 14).\n       |- The departure day of Helsinki is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Salzburg, Hamburg, Geneva, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 14 - 17).\n         |- The departure day of Vilnius is Day 14. The arrival day of Vienna is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Hamburg, Geneva, Helsinki, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vilnius to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Salzburg, Hamburg, Geneva, Helsinki, Vilnius, Vienna].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Vienna to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Salzburg, Hamburg, Geneva, Helsinki, Vilnius, Vienna, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Geneva.\n**Day 8-11:** Visit Geneva for 4 days.\n**Day 11:** Fly from Geneva to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Vienna.\n**Day 14-17:** Visit Vienna for 4 days.\n**Day 17:** Fly from Vienna to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Amsterdam**Bucharest**Riga**Vilnius**Frankfurt**Stockholm",
    "ground_truth_durations": "2**2**4**2**5**3**3",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Frankfurt for 3 days. You want to spend 2 days in Amsterdam. You want to meet a friend in Amsterdam between day 2 and day 3. You would like to visit Vilnius for 5 days. You have to attend a workshop in Vilnius between day 7 and day 11. You want to spend 2 days in London. You want to spend 3 days in Stockholm. You are going to attend a wedding in Stockholm between day 13 and day 15. You would like to visit Bucharest for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Amsterdam, Vilnius and Frankfurt, from Riga to Vilnius, Riga and Stockholm, London and Bucharest, Amsterdam and Stockholm, Amsterdam and Frankfurt, Frankfurt and Stockholm, Bucharest and Riga, Amsterdam and Riga, Amsterdam and Bucharest, Riga and Frankfurt, Bucharest and Frankfurt, London and Frankfurt, London and Stockholm, Amsterdam and Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Frankfurt for 3 days. You want to spend 2 days in Amsterdam. You want to meet a friend in Amsterdam between day 2 and day 3. You would like to visit Vilnius for 5 days. You have to attend a workshop in Vilnius between day 7 and day 11. You want to spend 2 days in London. You want to spend 3 days in Stockholm. You are going to attend a wedding in Stockholm between day 13 and day 15. You would like to visit Bucharest for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Amsterdam, from Vilnius to Frankfurt, from Riga to Vilnius, from Riga to Stockholm, from London to Bucharest, from Amsterdam to Stockholm, from Amsterdam to Frankfurt, from Frankfurt to Stockholm, from Bucharest to Riga, from Amsterdam to Riga, from Amsterdam to Bucharest, from Riga to Frankfurt, from Bucharest to Frankfurt, from London to Frankfurt, from London to Stockholm, from Amsterdam to Vilnius.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Amsterdam.\n**Day 2-3:** Visit Amsterdam for 2 days.\n**Day 3:** Fly from Amsterdam to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-11:** Visit Vilnius for 5 days.\n**Day 11:** Fly from Vilnius to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Stockholm.\n**Day 13-15:** Visit Stockholm for 3 days.",
    "id": "trip_planning_example_993",
    "estimated_output_tokens": 2995,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: London, Duration: 2 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Bucharest, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 2 - 3.\n* City: Vilnius, Fixed Schedule: Day 7 - 11.\n* City: Stockholm, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Bucharest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Frankfurt, London, Bucharest] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 3).\n |- The departure day of Riga is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Amsterdam.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 3).\n |- The departure day of Frankfurt is Day 3. The arrival day of Amsterdam is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 3).\n |- The departure day of London is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 7 - 11).\n   |- The departure day of Amsterdam is Day 3. The arrival day of Vilnius is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [London, Amsterdam].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Bucharest] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 7 - 11).\n     |- The departure day of Riga is Day 4. The arrival day of Vilnius is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [London, Amsterdam, Riga].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Riga to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 7 - 11).\n       |- The departure day of Frankfurt is Day 6. The arrival day of Vilnius is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [London, Amsterdam, Riga, Frankfurt].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Frankfurt to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Riga to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Amsterdam to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 7 - 11).\n     |- The departure day of Frankfurt is Day 5. The arrival day of Vilnius is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [London, Amsterdam, Frankfurt].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest] and explore these options in order.\n       |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Frankfurt to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Frankfurt to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Amsterdam to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 7 - 11).\n     |- The departure day of Bucharest is Day 6. The arrival day of Vilnius is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [London, Amsterdam, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 7 - 11).\n       |- The departure day of Riga is Day 7. The arrival day of Vilnius is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [London, Amsterdam, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 13 - 15).\n         |- The departure day of Vilnius is Day 11. The arrival day of Stockholm is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [London, Amsterdam, Bucharest, Riga, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Vilnius to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stockholm (Day 13 - 15).\n           |- The departure day of Frankfurt is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [London, Amsterdam, Bucharest, Riga, Vilnius, Frankfurt].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Frankfurt to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [London, Amsterdam, Bucharest, Riga, Vilnius, Frankfurt, Stockholm].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Amsterdam.\n**Day 2-3:** Visit Amsterdam for 2 days.\n**Day 3:** Fly from Amsterdam to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Vilnius.\n**Day 7-11:** Visit Vilnius for 5 days.\n**Day 11:** Fly from Vilnius to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Stockholm.\n**Day 13-15:** Visit Stockholm for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Budapest**Geneva**Porto**Munich**Tallinn**Vilnius",
    "ground_truth_durations": "4**4**2**2**2**3**4",
    "num_cities": 7,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Porto",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Porto. You want to spend 2 days in Geneva. You would like to visit Munich for 2 days. You plan to stay in Tallinn for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Budapest for 4 days. You plan to stay in Reykjavik for 4 days. From day 1 to day 4, there is a annual show you want to attend in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Budapest and Munich, from Tallinn to Vilnius, Budapest and Geneva, Reykjavik and Munich, Reykjavik and Budapest, Geneva and Porto, Munich and Tallinn, Geneva and Munich, Porto and Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Porto. You want to spend 2 days in Geneva. You would like to visit Munich for 2 days. You plan to stay in Tallinn for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Budapest for 4 days. You plan to stay in Reykjavik for 4 days. From day 1 to day 4, there is a annual show you want to attend in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Budapest to Munich, from Tallinn to Vilnius, from Budapest to Geneva, from Reykjavik to Munich, from Reykjavik to Budapest, from Geneva to Porto, from Munich to Tallinn, from Geneva to Munich, from Porto to Munich.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 15 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_994",
    "estimated_output_tokens": 2881,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 4.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Munich, Tallinn, Vilnius, Budapest] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Tallinn, Vilnius, Budapest] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Reykjavik, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Vilnius, Budapest] and explore these options in order.\n       |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Munich, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Budapest] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vilnius to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Vilnius to Budapest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Geneva, Munich, Tallinn, Vilnius] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Budapest to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Budapest to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Budapest, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Munich, Tallinn, Vilnius] and explore these options in order.\n       |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Budapest, Geneva, Porto].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn, Vilnius] and explore these options in order.\n         |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Porto to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Budapest, Geneva, Porto, Munich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Munich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Reykjavik, Budapest, Geneva, Porto, Munich, Tallinn].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Tallinn to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Reykjavik, Budapest, Geneva, Porto, Munich, Tallinn, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Budapest.\n**Day 4-7:** Visit Budapest for 4 days.\n**Day 7:** Fly from Budapest to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Munich.\n**Day 9-10:** Visit Munich for 2 days.\n**Day 10:** Fly from Munich to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Oslo**Split**Copenhagen**Brussels**Venice**Stuttgart",
    "ground_truth_durations": "3**2**4**3**3**4**3",
    "num_cities": 7,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Barcelona",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 3 and day 4 to tour together. You want to spend 3 days in Stuttgart. You would like to visit Venice for 4 days. You plan to stay in Split for 4 days. You plan to stay in Barcelona for 3 days. From day 1 to day 3, there is a annual show you want to attend in Barcelona. You would like to visit Brussels for 3 days. You want to meet a friend in Brussels between day 9 and day 11. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nVenice and Stuttgart, Oslo and Brussels, Split and Copenhagen, Barcelona and Copenhagen, Barcelona and Venice, Brussels and Venice, Barcelona and Stuttgart, Copenhagen and Brussels, Oslo and Split, Oslo and Venice, Barcelona and Split, Oslo and Copenhagen, Barcelona and Oslo, Copenhagen and Stuttgart, Split and Stuttgart, Copenhagen and Venice, Barcelona and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 3 and day 4 to tour together. You want to spend 3 days in Stuttgart. You would like to visit Venice for 4 days. You plan to stay in Split for 4 days. You plan to stay in Barcelona for 3 days. From day 1 to day 3, there is a annual show you want to attend in Barcelona. You would like to visit Brussels for 3 days. You want to meet a friend in Brussels between day 9 and day 11. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Stuttgart, from Oslo to Brussels, from Split to Copenhagen, from Barcelona to Copenhagen, from Barcelona to Venice, from Brussels to Venice, from Barcelona to Stuttgart, from Copenhagen to Brussels, from Oslo to Split, from Oslo to Venice, from Barcelona to Split, from Oslo to Copenhagen, from Barcelona to Oslo, from Copenhagen to Stuttgart, from Split to Stuttgart, from Copenhagen to Venice, from Barcelona to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 16 days:\n\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Split.\n**Day 4-7:** Visit Split for 4 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_995",
    "estimated_output_tokens": 2614,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stuttgart, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 3 - 4.\n* City: Brussels, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 4).\n |- The departure day of Barcelona is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 9 - 11).\n   |- The departure day of Oslo is Day 4. The arrival day of Brussels is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Venice, Split, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Oslo to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 9 - 11).\n     |- The departure day of Venice is Day 7. The arrival day of Brussels is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Oslo, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 9 - 11).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Oslo, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stuttgart to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Venice to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Oslo to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 9 - 11).\n     |- The departure day of Split is Day 7. The arrival day of Brussels is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Oslo, Split].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Venice, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Split to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 9 - 11).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Oslo, Split, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stuttgart to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Split to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Split to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 9 - 11).\n       |- The departure day of Copenhagen is Day 9. The arrival day of Brussels is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Oslo, Split, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Copenhagen to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Barcelona, Oslo, Split, Copenhagen, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Venice] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Brussels to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Brussels to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Barcelona, Oslo, Split, Copenhagen, Brussels, Venice].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Venice to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Barcelona, Oslo, Split, Copenhagen, Brussels, Venice, Stuttgart].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Oslo.\n**Day 3-4:** Visit Oslo for 2 days.\n**Day 4:** Fly from Oslo to Split.\n**Day 4-7:** Visit Split for 4 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Zurich**Prague**Valencia**Bucharest**Riga**Nice",
    "ground_truth_durations": "3**5**3**5**5**5**2",
    "num_cities": 7,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Zurich",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You would like to visit Riga for 5 days. You want to spend 3 days in Prague. You plan to visit relatives in Prague between day 7 and day 9. You want to spend 3 days in Mykonos. You are going to attend a wedding in Mykonos between day 1 and day 3. You want to spend 5 days in Zurich. You would like to visit Bucharest for 5 days. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nMykonos and Nice, Mykonos and Zurich, Prague and Bucharest, Valencia and Bucharest, Zurich and Prague, Riga and Nice, Zurich and Riga, Zurich and Bucharest, Zurich and Valencia, Bucharest and Riga, Prague and Riga, Prague and Valencia, Zurich and Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You would like to visit Riga for 5 days. You want to spend 3 days in Prague. You plan to visit relatives in Prague between day 7 and day 9. You want to spend 3 days in Mykonos. You are going to attend a wedding in Mykonos between day 1 and day 3. You want to spend 5 days in Zurich. You would like to visit Bucharest for 5 days. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Nice, from Mykonos to Zurich, from Prague to Bucharest, from Valencia to Bucharest, from Zurich to Prague, from Riga to Nice, from Zurich to Riga, from Zurich to Bucharest, from Zurich to Valencia, from Bucharest to Riga, from Prague to Riga, from Prague to Valencia, from Zurich to Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 22 days:\n\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Zurich.\n**Day 3-7:** Visit Zurich for 5 days.\n**Day 7:** Fly from Zurich to Prague.\n**Day 7-9:** Visit Prague for 3 days.\n**Day 9:** Fly from Prague to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.\n**Day 13:** Fly from Valencia to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Riga.\n**Day 17-21:** Visit Riga for 5 days.\n**Day 21:** Fly from Riga to Nice.\n**Day 21-22:** Visit Nice for 2 days.",
    "id": "trip_planning_example_996",
    "estimated_output_tokens": 1789,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Zurich, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 7 - 9).\n |- The departure day of Mykonos is Day 3. The arrival day of Prague is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Riga, Zurich, Bucharest, Nice] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 7 - 9).\n   |- The departure day of Zurich is Day 7. The arrival day of Prague is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Zurich, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Riga, Bucharest, Nice] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Zurich, Prague, Valencia].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest, Nice] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Valencia to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Zurich, Prague, Valencia, Bucharest].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Nice] and explore these options in order.\n           |- Try arranging to visit Riga from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Mykonos, Zurich, Prague, Valencia, Bucharest, Riga].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n             |- Try arranging to visit Nice from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Riga to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Mykonos, Zurich, Prague, Valencia, Bucharest, Riga, Nice].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Zurich.\n**Day 3-7:** Visit Zurich for 5 days.\n**Day 7:** Fly from Zurich to Prague.\n**Day 7-9:** Visit Prague for 3 days.\n**Day 9:** Fly from Prague to Valencia.\n**Day 9-13:** Visit Valencia for 5 days.\n**Day 13:** Fly from Valencia to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Riga.\n**Day 17-21:** Visit Riga for 5 days.\n**Day 21:** Fly from Riga to Nice.\n**Day 21-22:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Munich**Prague**Reykjavik**Warsaw**Hamburg**Salzburg",
    "ground_truth_durations": "5**3**5**5**5**4**4",
    "num_cities": 7,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Munich",
        "Prague"
      ],
      [
        "Munich",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. From day 11 to day 15, there is a annual show you want to attend in Reykjavik. You plan to stay in Munich for 3 days. You are going to attend a wedding in Munich between day 5 and day 7. You want to spend 5 days in Venice. You would like to visit Salzburg for 4 days. You have to attend a workshop in Salzburg between day 22 and day 25. You plan to stay in Prague for 5 days. You want to spend 4 days in Hamburg. You want to spend 5 days in Warsaw.\n\nHere are the cities that have direct flights:\nMunich and Warsaw, Prague and Warsaw, Warsaw and Hamburg, Venice and Munich, Prague and Reykjavik, Venice and Warsaw, Venice and Hamburg, Munich and Reykjavik, Hamburg and Salzburg, Reykjavik and Warsaw, Munich and Prague, Munich and Hamburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. From day 11 to day 15, there is a annual show you want to attend in Reykjavik. You plan to stay in Munich for 3 days. You are going to attend a wedding in Munich between day 5 and day 7. You want to spend 5 days in Venice. You would like to visit Salzburg for 4 days. You have to attend a workshop in Salzburg between day 22 and day 25. You plan to stay in Prague for 5 days. You want to spend 4 days in Hamburg. You want to spend 5 days in Warsaw.\n\nHere are the cities that have direct flights:\nfrom Munich to Warsaw, from Prague to Warsaw, from Warsaw to Hamburg, from Venice to Munich, from Prague to Reykjavik, from Venice to Warsaw, from Venice to Hamburg, from Munich to Reykjavik, from Hamburg to Salzburg, from Reykjavik to Warsaw, from Munich to Prague, from Munich to Hamburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 25 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-19:** Visit Warsaw for 5 days.\n**Day 19:** Fly from Warsaw to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_997",
    "estimated_output_tokens": 1855,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Venice, Duration: 5 days.\n* City: Salzburg, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Prague, Duration: 5 days.\n* City: Hamburg, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 5 - 7.\n* City: Reykjavik, Fixed Schedule: Day 11 - 15.\n* City: Salzburg, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Hamburg, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Prague, Hamburg, Warsaw] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 7).\n |- The departure day of Venice is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 11 - 15).\n   |- The departure day of Munich is Day 7. The arrival day of Reykjavik is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Hamburg, Warsaw] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Munich to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 11 - 15).\n     |- The departure day of Prague is Day 11. The arrival day of Reykjavik is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Munich, Prague].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 22 - 25).\n       |- The departure day of Reykjavik is Day 15. The arrival day of Salzburg is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Venice, Munich, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Warsaw] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Reykjavik to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Salzburg (Day 22 - 25).\n         |- The departure day of Warsaw is Day 19. The arrival day of Salzburg is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Venice, Munich, Prague, Reykjavik, Warsaw].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Warsaw to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Salzburg (Day 22 - 25).\n           |- The departure day of Hamburg is Day 22. The arrival day of Salzburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Venice, Munich, Prague, Reykjavik, Warsaw, Hamburg].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Salzburg.\n             |- Try arranging to visit Salzburg from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Hamburg to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Venice, Munich, Prague, Reykjavik, Warsaw, Hamburg, Salzburg].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Prague.\n**Day 7-11:** Visit Prague for 5 days.\n**Day 11:** Fly from Prague to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-19:** Visit Warsaw for 5 days.\n**Day 19:** Fly from Warsaw to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Oslo**Dubrovnik**Geneva**Frankfurt**Tallinn**Vilnius",
    "ground_truth_durations": "5**4**4**5**2**3**2",
    "num_cities": 7,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Oslo",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. During day 11 and day 15, you have to attend a conference in Geneva. You want to spend 2 days in Frankfurt. You plan to stay in Reykjavik for 5 days. You plan to stay in Oslo for 4 days. You would like to meet your friends at Oslo between day 5 and day 8 to tour together. You plan to stay in Vilnius for 2 days. You plan to stay in Tallinn for 3 days. You want to spend 4 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nOslo and Frankfurt, from Tallinn to Vilnius, Reykjavik and Oslo, Dubrovnik and Frankfurt, Oslo and Vilnius, Oslo and Tallinn, Frankfurt and Vilnius, Geneva and Frankfurt, Frankfurt and Tallinn, Oslo and Dubrovnik, Reykjavik and Frankfurt, Dubrovnik and Geneva, Oslo and Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. During day 11 and day 15, you have to attend a conference in Geneva. You want to spend 2 days in Frankfurt. You plan to stay in Reykjavik for 5 days. You plan to stay in Oslo for 4 days. You would like to meet your friends at Oslo between day 5 and day 8 to tour together. You plan to stay in Vilnius for 2 days. You plan to stay in Tallinn for 3 days. You want to spend 4 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Oslo to Frankfurt, from Tallinn to Vilnius, from Reykjavik to Oslo, from Dubrovnik to Frankfurt, from Oslo to Vilnius, from Oslo to Tallinn, from Frankfurt to Vilnius, from Geneva to Frankfurt, from Frankfurt to Tallinn, from Oslo to Dubrovnik, from Reykjavik to Frankfurt, from Dubrovnik to Geneva, from Oslo to Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 19 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Frankfurt.\n**Day 15-16:** Visit Frankfurt for 2 days.\n**Day 16:** Fly from Frankfurt to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_998",
    "estimated_output_tokens": 5079,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Frankfurt, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 5 - 8.\n* City: Geneva, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Reykjavik, Vilnius, Tallinn, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 8).\n |- The departure day of Frankfurt is Day 2. The arrival day of Oslo is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Tallinn, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Frankfurt to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Frankfurt to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 8).\n   |- The departure day of Vilnius is Day 3. The arrival day of Oslo is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Frankfurt, Vilnius].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Tallinn, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Vilnius to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vilnius to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Vilnius to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 8).\n   |- The departure day of Tallinn is Day 4. The arrival day of Oslo is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 5 - 8).\n     |- The departure day of Vilnius is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Frankfurt, Tallinn, Vilnius].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Vilnius to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Tallinn to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Frankfurt to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 8).\n |- The departure day of Reykjavik is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 11 - 15).\n   |- The departure day of Oslo is Day 8. The arrival day of Geneva is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Vilnius, Tallinn, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Oslo to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 11 - 15).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Geneva is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Oslo, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Frankfurt to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 11 - 15).\n       |- The departure day of Vilnius is Day 10. The arrival day of Geneva is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Oslo, Frankfurt, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Vilnius to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Vilnius to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 11 - 15).\n       |- The departure day of Tallinn is Day 11. The arrival day of Geneva is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Oslo, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Oslo to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 11 - 15).\n     |- The departure day of Vilnius is Day 9. The arrival day of Geneva is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Oslo, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vilnius to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Vilnius to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vilnius to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Oslo to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 11 - 15).\n     |- The departure day of Tallinn is Day 10. The arrival day of Geneva is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Oslo, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Vilnius, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Tallinn to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 11 - 15).\n       |- The departure day of Vilnius is Day 11. The arrival day of Geneva is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Oslo, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Tallinn to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Oslo to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 11 - 15).\n     |- The departure day of Dubrovnik is Day 11. The arrival day of Geneva is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Oslo, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dubrovnik to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Reykjavik, Oslo, Dubrovnik, Geneva].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Geneva to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Reykjavik, Oslo, Dubrovnik, Geneva, Frankfurt].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Frankfurt to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Oslo, Dubrovnik, Geneva, Frankfurt, Vilnius].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Vilnius to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Frankfurt to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Oslo, Dubrovnik, Geneva, Frankfurt, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Tallinn to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Reykjavik, Oslo, Dubrovnik, Geneva, Frankfurt, Tallinn, Vilnius].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Geneva.\n**Day 11-15:** Visit Geneva for 5 days.\n**Day 15:** Fly from Geneva to Frankfurt.\n**Day 15-16:** Visit Frankfurt for 2 days.\n**Day 16:** Fly from Frankfurt to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Warsaw**Nice**Edinburgh**Hamburg**Bucharest**Lyon",
    "ground_truth_durations": "4**2**2**4**4**5**2",
    "num_cities": 7,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 9,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Nice"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You want to spend 2 days in Warsaw. You plan to stay in Bucharest for 5 days. You want to spend 2 days in Lyon. From day 16 to day 17, there is a annual show you want to attend in Lyon. You plan to stay in Naples for 4 days. During day 1 and day 4, you have to attend a conference in Naples. You want to spend 4 days in Edinburgh. You would like to visit Hamburg for 4 days. You would like to meet your friends at Hamburg between day 9 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nNaples and Nice, Edinburgh and Hamburg, Warsaw and Bucharest, Nice and Lyon, Naples and Bucharest, Nice and Edinburgh, Nice and Hamburg, Bucharest and Lyon, Naples and Warsaw, Hamburg and Bucharest, Warsaw and Hamburg, Warsaw and Nice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 7 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. You want to spend 2 days in Warsaw. You plan to stay in Bucharest for 5 days. You want to spend 2 days in Lyon. From day 16 to day 17, there is a annual show you want to attend in Lyon. You plan to stay in Naples for 4 days. During day 1 and day 4, you have to attend a conference in Naples. You want to spend 4 days in Edinburgh. You would like to visit Hamburg for 4 days. You would like to meet your friends at Hamburg between day 9 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Naples to Nice, from Edinburgh to Hamburg, from Warsaw to Bucharest, from Nice to Lyon, from Naples to Bucharest, from Nice to Edinburgh, from Nice to Hamburg, from Bucharest to Lyon, from Naples to Warsaw, from Hamburg to Bucharest, from Warsaw to Hamburg, from Warsaw to Nice.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 7 European cities for 17 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Edinburgh.\n**Day 6-9:** Visit Edinburgh for 4 days.\n**Day 9:** Fly from Edinburgh to Hamburg.\n**Day 9-12:** Visit Hamburg for 4 days.\n**Day 12:** Fly from Hamburg to Bucharest.\n**Day 12-16:** Visit Bucharest for 5 days.\n**Day 16:** Fly from Bucharest to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_999",
    "estimated_output_tokens": 2418,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Duration: 4 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Fixed Schedule: Day 9 - 12.\n* City: Lyon, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Edinburgh, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 9 - 12).\n |- The departure day of Naples is Day 4. The arrival day of Hamburg is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Bucharest, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Nice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Naples to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 9 - 12).\n   |- The departure day of Nice is Day 5. The arrival day of Hamburg is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Nice to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Nice to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Nice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 9 - 12).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Hamburg is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Nice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Edinburgh to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Naples to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 9 - 12).\n   |- The departure day of Warsaw is Day 5. The arrival day of Hamburg is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Bucharest, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Warsaw to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 9 - 12).\n     |- The departure day of Nice is Day 6. The arrival day of Hamburg is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Warsaw, Nice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Nice to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 9 - 12).\n       |- The departure day of Edinburgh is Day 9. The arrival day of Hamburg is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Warsaw, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Edinburgh to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 16 - 17).\n         |- The departure day of Hamburg is Day 12. The arrival day of Lyon is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Warsaw, Nice, Edinburgh, Hamburg].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Hamburg to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 16 - 17).\n           |- The departure day of Bucharest is Day 16. The arrival day of Lyon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, Warsaw, Nice, Edinburgh, Hamburg, Bucharest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Lyon.\n             |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Naples, Warsaw, Nice, Edinburgh, Hamburg, Bucharest, Lyon].\n              |- All 7 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Warsaw.\n**Day 4-5:** Visit Warsaw for 2 days.\n**Day 5:** Fly from Warsaw to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Edinburgh.\n**Day 6-9:** Visit Edinburgh for 4 days.\n**Day 9:** Fly from Edinburgh to Hamburg.\n**Day 9-12:** Visit Hamburg for 4 days.\n**Day 12:** Fly from Hamburg to Bucharest.\n**Day 12-16:** Visit Bucharest for 5 days.\n**Day 16:** Fly from Bucharest to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Paris**Riga**Copenhagen**Santorini**Bucharest**Hamburg**Stuttgart",
    "ground_truth_durations": "5**4**2**3**5**2**4**3",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Paris"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Paris",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You want to meet a friend in Stuttgart between day 19 and day 21. You would like to visit Bucharest for 2 days. You want to spend 3 days in Copenhagen. You have to attend a workshop in Copenhagen between day 9 and day 11. You plan to stay in Paris for 4 days. You want to spend 2 days in Riga. From day 8 to day 9, there is a annual show you want to attend in Riga. You want to spend 5 days in Santorini. You would like to visit Madrid for 5 days. During day 1 and day 5, you have to attend a conference in Madrid. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nRiga and Bucharest, Madrid and Copenhagen, Paris and Copenhagen, Paris and Stuttgart, Copenhagen and Stuttgart, Madrid and Paris, Bucharest and Hamburg, Madrid and Santorini, Madrid and Hamburg, Copenhagen and Bucharest, Riga and Copenhagen, Paris and Riga, Copenhagen and Hamburg, Paris and Hamburg, Madrid and Bucharest, Copenhagen and Santorini, Hamburg and Stuttgart, from Riga to Hamburg, Santorini and Bucharest, Paris and Bucharest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You want to meet a friend in Stuttgart between day 19 and day 21. You would like to visit Bucharest for 2 days. You want to spend 3 days in Copenhagen. You have to attend a workshop in Copenhagen between day 9 and day 11. You plan to stay in Paris for 4 days. You want to spend 2 days in Riga. From day 8 to day 9, there is a annual show you want to attend in Riga. You want to spend 5 days in Santorini. You would like to visit Madrid for 5 days. During day 1 and day 5, you have to attend a conference in Madrid. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Bucharest, from Madrid to Copenhagen, from Paris to Copenhagen, from Paris to Stuttgart, from Copenhagen to Stuttgart, from Madrid to Paris, from Bucharest to Hamburg, from Madrid to Santorini, from Madrid to Hamburg, from Copenhagen to Bucharest, from Riga to Copenhagen, from Paris to Riga, from Copenhagen to Hamburg, from Paris to Hamburg, from Madrid to Bucharest, from Copenhagen to Santorini, from Hamburg to Stuttgart, from Riga to Hamburg, from Santorini to Bucharest, from Paris to Bucharest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n**Day 16:** Fly from Bucharest to Hamburg.\n**Day 16-19:** Visit Hamburg for 4 days.\n**Day 19:** Fly from Hamburg to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1000",
    "estimated_output_tokens": 3028,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Bucharest, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Paris, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Santorini, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Riga, Fixed Schedule: Day 8 - 9.\n* City: Copenhagen, Fixed Schedule: Day 9 - 11.\n* City: Stuttgart, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 8 - 9).\n |- The departure day of Madrid is Day 5. The arrival day of Riga is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Paris, Santorini, Hamburg] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 8 - 9).\n   |- The departure day of Bucharest is Day 6. The arrival day of Riga is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Santorini, Hamburg] and explore these options in order.\n     |- Try arranging to visit Paris from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Bucharest to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Bucharest to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Bucharest to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 8 - 9).\n     |- The departure day of Hamburg is Day 9. The arrival day of Riga is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 8 - 9).\n   |- The departure day of Paris is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 9 - 11).\n     |- The departure day of Riga is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Paris, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 19 - 21).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Stuttgart is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Paris, Riga, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Hamburg] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Copenhagen to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 19 - 21).\n         |- The departure day of Bucharest is Day 12. The arrival day of Stuttgart is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Madrid, Paris, Riga, Copenhagen, Bucharest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Bucharest to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Bucharest to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 19 - 21).\n           |- The departure day of Hamburg is Day 15. The arrival day of Stuttgart is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Madrid, Paris, Riga, Copenhagen, Bucharest, Hamburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Hamburg to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Copenhagen to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 19 - 21).\n         |- The departure day of Santorini is Day 15. The arrival day of Stuttgart is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Madrid, Paris, Riga, Copenhagen, Santorini].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Santorini to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 19 - 21).\n           |- The departure day of Bucharest is Day 16. The arrival day of Stuttgart is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Paris, Riga, Copenhagen, Santorini, Bucharest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Bucharest to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 19 - 21).\n             |- The departure day of Hamburg is Day 19. The arrival day of Stuttgart is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Madrid, Paris, Riga, Copenhagen, Santorini, Bucharest, Hamburg].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Hamburg to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Madrid, Paris, Riga, Copenhagen, Santorini, Bucharest, Hamburg, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n**Day 16:** Fly from Bucharest to Hamburg.\n**Day 16-19:** Visit Hamburg for 4 days.\n**Day 19:** Fly from Hamburg to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Madrid**Venice**Edinburgh**Budapest**Frankfurt**Split**Krakow",
    "ground_truth_durations": "5**4**3**4**5**2**3**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Krakow"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Edinburgh",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You plan to stay in Split for 3 days. During day 18 and day 20, you have to attend a conference in Split. You want to spend 4 days in Madrid. From day 5 to day 8, there is a annual show you want to attend in Madrid. You want to spend 4 days in Krakow. You would like to visit Venice for 3 days. You would like to visit Edinburgh for 4 days. You want to spend 2 days in Frankfurt. You plan to stay in Budapest for 5 days. You want to meet a friend in Budapest between day 13 and day 17.\n\nHere are the cities that have direct flights:\nSplit and Krakow, Venice and Frankfurt, Venice and Edinburgh, Edinburgh and Frankfurt, Mykonos and Budapest, Budapest and Frankfurt, Madrid and Split, Frankfurt and Split, Frankfurt and Krakow, Madrid and Edinburgh, Madrid and Frankfurt, Edinburgh and Krakow, Madrid and Budapest, Mykonos and Madrid, Madrid and Venice, Edinburgh and Budapest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Mykonos. You plan to stay in Split for 3 days. During day 18 and day 20, you have to attend a conference in Split. You want to spend 4 days in Madrid. From day 5 to day 8, there is a annual show you want to attend in Madrid. You want to spend 4 days in Krakow. You would like to visit Venice for 3 days. You would like to visit Edinburgh for 4 days. You want to spend 2 days in Frankfurt. You plan to stay in Budapest for 5 days. You want to meet a friend in Budapest between day 13 and day 17.\n\nHere are the cities that have direct flights:\nfrom Split to Krakow, from Venice to Frankfurt, from Venice to Edinburgh, from Edinburgh to Frankfurt, from Mykonos to Budapest, from Budapest to Frankfurt, from Madrid to Split, from Frankfurt to Split, from Frankfurt to Krakow, from Madrid to Edinburgh, from Madrid to Frankfurt, from Edinburgh to Krakow, from Madrid to Budapest, from Mykonos to Madrid, from Madrid to Venice, from Edinburgh to Budapest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Edinburgh.\n**Day 10-13:** Visit Edinburgh for 4 days.\n**Day 13:** Fly from Edinburgh to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Frankfurt.\n**Day 17-18:** Visit Frankfurt for 2 days.\n**Day 18:** Fly from Frankfurt to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Krakow.\n**Day 20-23:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_1001",
    "estimated_output_tokens": 2138,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 5 - 8.\n* City: Budapest, Fixed Schedule: Day 13 - 17.\n* City: Split, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Krakow, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Krakow, Venice, Edinburgh, Frankfurt] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 8).\n |- The departure day of Mykonos is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 13 - 17).\n   |- The departure day of Madrid is Day 8. The arrival day of Budapest is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Mykonos, Madrid].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Edinburgh, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Madrid to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Budapest (Day 13 - 17).\n     |- The departure day of Venice is Day 10. The arrival day of Budapest is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Madrid, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Edinburgh, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 17).\n       |- The departure day of Edinburgh is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Madrid, Venice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Edinburgh to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 18 - 20).\n         |- The departure day of Budapest is Day 17. The arrival day of Split is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Madrid, Venice, Edinburgh, Budapest].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Budapest to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Budapest to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 18 - 20).\n           |- The departure day of Frankfurt is Day 18. The arrival day of Split is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Mykonos, Madrid, Venice, Edinburgh, Budapest, Frankfurt].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Split.\n             |- Try arranging to visit Split from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Frankfurt to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Mykonos, Madrid, Venice, Edinburgh, Budapest, Frankfurt, Split].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Split to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Mykonos, Madrid, Venice, Edinburgh, Budapest, Frankfurt, Split, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Edinburgh.\n**Day 10-13:** Visit Edinburgh for 4 days.\n**Day 13:** Fly from Edinburgh to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Frankfurt.\n**Day 17-18:** Visit Frankfurt for 2 days.\n**Day 18:** Fly from Frankfurt to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Krakow.\n**Day 20-23:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Oslo**Lisbon**Frankfurt**Valencia**Vienna**Brussels**Riga",
    "ground_truth_durations": "5**4**4**5**4**3**4**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You would like to visit Brussels for 4 days. From day 20 to day 23, there is a annual show you want to attend in Brussels. You would like to visit Vienna for 3 days. You would like to visit Lisbon for 4 days. You have to attend a workshop in Lisbon between day 8 and day 11. You plan to stay in Frankfurt for 5 days. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 1 and day 5. You would like to visit Riga for 3 days. You plan to stay in Valencia for 4 days. You are going to attend a wedding in Valencia between day 15 and day 18.\n\nHere are the cities that have direct flights:\nMadrid and Vienna, Vienna and Brussels, Lisbon and Vienna, Madrid and Valencia, Oslo and Brussels, Madrid and Oslo, Valencia and Vienna, Oslo and Riga, Valencia and Brussels, Lisbon and Frankfurt, Frankfurt and Riga, Vienna and Riga, Madrid and Brussels, from Brussels to Frankfurt, Madrid and Frankfurt, Oslo and Vienna, Oslo and Lisbon, Lisbon and Riga, Lisbon and Valencia, Madrid and Lisbon, Lisbon and Brussels, Brussels and Riga, Frankfurt and Vienna, Oslo and Frankfurt, Frankfurt and Valencia.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 4 days. You would like to visit Brussels for 4 days. From day 20 to day 23, there is a annual show you want to attend in Brussels. You would like to visit Vienna for 3 days. You would like to visit Lisbon for 4 days. You have to attend a workshop in Lisbon between day 8 and day 11. You plan to stay in Frankfurt for 5 days. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 1 and day 5. You would like to visit Riga for 3 days. You plan to stay in Valencia for 4 days. You are going to attend a wedding in Valencia between day 15 and day 18.\n\nHere are the cities that have direct flights:\nfrom Madrid to Vienna, from Vienna to Brussels, from Lisbon to Vienna, from Madrid to Valencia, from Oslo to Brussels, from Madrid to Oslo, from Valencia to Vienna, from Oslo to Riga, from Valencia to Brussels, from Lisbon to Frankfurt, from Frankfurt to Riga, from Vienna to Riga, from Madrid to Brussels, from Brussels to Frankfurt, from Madrid to Frankfurt, from Oslo to Vienna, from Oslo to Lisbon, from Lisbon to Riga, from Lisbon to Valencia, from Madrid to Lisbon, from Lisbon to Brussels, from Brussels to Riga, from Frankfurt to Vienna, from Oslo to Frankfurt, from Frankfurt to Valencia.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Vienna.\n**Day 18-20:** Visit Vienna for 3 days.\n**Day 20:** Fly from Vienna to Brussels.\n**Day 20-23:** Visit Brussels for 4 days.\n**Day 23:** Fly from Brussels to Riga.\n**Day 23-25:** Visit Riga for 3 days.",
    "id": "trip_planning_example_1002",
    "estimated_output_tokens": 2487,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 4 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Vienna, Duration: 3 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Frankfurt, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Riga, Duration: 3 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Fixed Schedule: Day 15 - 18.\n* City: Brussels, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Oslo, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 8 - 11).\n |- The departure day of Madrid is Day 5. The arrival day of Lisbon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Vienna, Frankfurt, Riga] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 11).\n   |- The departure day of Oslo is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Oslo to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 15 - 18).\n     |- The departure day of Lisbon is Day 11. The arrival day of Valencia is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Madrid, Oslo, Lisbon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Frankfurt, Riga] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lisbon to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 15 - 18).\n       |- The departure day of Vienna is Day 13. The arrival day of Valencia is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Oslo, Lisbon, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Frankfurt.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vienna to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 15 - 18).\n         |- The departure day of Riga is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Madrid, Oslo, Lisbon, Vienna, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lisbon to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 15 - 18).\n       |- The departure day of Frankfurt is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Madrid, Oslo, Lisbon, Frankfurt].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Brussels (Day 20 - 23).\n         |- The departure day of Valencia is Day 18. The arrival day of Brussels is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Madrid, Oslo, Lisbon, Frankfurt, Valencia].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Riga] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Valencia to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Brussels (Day 20 - 23).\n           |- The departure day of Vienna is Day 20. The arrival day of Brussels is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Madrid, Oslo, Lisbon, Frankfurt, Valencia, Vienna].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Vienna to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Madrid, Oslo, Lisbon, Frankfurt, Valencia, Vienna, Brussels].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Brussels to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Madrid, Oslo, Lisbon, Frankfurt, Valencia, Vienna, Brussels, Riga].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Vienna.\n**Day 18-20:** Visit Vienna for 3 days.\n**Day 20:** Fly from Vienna to Brussels.\n**Day 20-23:** Visit Brussels for 4 days.\n**Day 23:** Fly from Brussels to Riga.\n**Day 23-25:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Mykonos**Nice**Edinburgh**Frankfurt**Lyon**Vienna**Manchester",
    "ground_truth_durations": "2**5**2**3**5**2**3**2",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Nice",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 3 days. You plan to stay in Mykonos for 5 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Geneva. You have to attend a workshop in Geneva between day 1 and day 2. You would like to visit Frankfurt for 5 days. You plan to stay in Nice for 2 days. You want to spend 3 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 7 and day 9. You would like to visit Manchester for 2 days. You would like to meet your friends at Manchester between day 16 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nLyon and Vienna, Geneva and Frankfurt, Geneva and Mykonos, Frankfurt and Vienna, Mykonos and Nice, Geneva and Vienna, Mykonos and Vienna, Edinburgh and Frankfurt, Nice and Edinburgh, Frankfurt and Lyon, Nice and Lyon, Nice and Frankfurt, Frankfurt and Manchester, Vienna and Manchester, Geneva and Nice, Nice and Manchester, Geneva and Edinburgh, Geneva and Manchester, Nice and Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 3 days. You plan to stay in Mykonos for 5 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Geneva. You have to attend a workshop in Geneva between day 1 and day 2. You would like to visit Frankfurt for 5 days. You plan to stay in Nice for 2 days. You want to spend 3 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 7 and day 9. You would like to visit Manchester for 2 days. You would like to meet your friends at Manchester between day 16 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nfrom Lyon to Vienna, from Geneva to Frankfurt, from Geneva to Mykonos, from Frankfurt to Vienna, from Mykonos to Nice, from Geneva to Vienna, from Mykonos to Vienna, from Edinburgh to Frankfurt, from Nice to Edinburgh, from Frankfurt to Lyon, from Nice to Lyon, from Nice to Frankfurt, from Frankfurt to Manchester, from Vienna to Manchester, from Geneva to Nice, from Nice to Manchester, from Geneva to Edinburgh, from Geneva to Manchester, from Nice to Vienna.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Mykonos.\n**Day 2-6:** Visit Mykonos for 5 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Edinburgh.\n**Day 7-9:** Visit Edinburgh for 3 days.\n**Day 9:** Fly from Edinburgh to Frankfurt.\n**Day 9-13:** Visit Frankfurt for 5 days.\n**Day 13:** Fly from Frankfurt to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Vienna.\n**Day 14-16:** Visit Vienna for 3 days.\n**Day 16:** Fly from Vienna to Manchester.\n**Day 16-17:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1003",
    "estimated_output_tokens": 2990,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Frankfurt, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Edinburgh, Fixed Schedule: Day 7 - 9.\n* City: Manchester, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 7 - 9).\n |- The departure day of Geneva is Day 2. The arrival day of Edinburgh is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos, Lyon, Frankfurt, Nice] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 7 - 9).\n   |- The departure day of Vienna is Day 4. The arrival day of Edinburgh is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Vienna].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Frankfurt, Nice] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vienna to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vienna to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vienna to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 7 - 9).\n   |- The departure day of Mykonos is Day 6. The arrival day of Edinburgh is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Mykonos].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Frankfurt, Nice] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 7 - 9).\n     |- The departure day of Vienna is Day 8. The arrival day of Edinburgh is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Mykonos to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Mykonos to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Mykonos to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 7 - 9).\n     |- The departure day of Nice is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Mykonos, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 16 - 17).\n       |- The departure day of Edinburgh is Day 9. The arrival day of Manchester is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Geneva, Mykonos, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Edinburgh to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Edinburgh to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 16 - 17).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Manchester is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Mykonos, Nice, Edinburgh, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Frankfurt to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 16 - 17).\n           |- The departure day of Vienna is Day 15. The arrival day of Manchester is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Geneva, Mykonos, Nice, Edinburgh, Frankfurt, Vienna].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Vienna to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 16 - 17).\n           |- The departure day of Lyon is Day 14. The arrival day of Manchester is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Geneva, Mykonos, Nice, Edinburgh, Frankfurt, Lyon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Lyon to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 16 - 17).\n             |- The departure day of Vienna is Day 16. The arrival day of Manchester is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Geneva, Mykonos, Nice, Edinburgh, Frankfurt, Lyon, Vienna].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Vienna to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, Mykonos, Nice, Edinburgh, Frankfurt, Lyon, Vienna, Manchester].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Mykonos.\n**Day 2-6:** Visit Mykonos for 5 days.\n**Day 6:** Fly from Mykonos to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Edinburgh.\n**Day 7-9:** Visit Edinburgh for 3 days.\n**Day 9:** Fly from Edinburgh to Frankfurt.\n**Day 9-13:** Visit Frankfurt for 5 days.\n**Day 13:** Fly from Frankfurt to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Vienna.\n**Day 14-16:** Visit Vienna for 3 days.\n**Day 16:** Fly from Vienna to Manchester.\n**Day 16-17:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Hamburg**Manchester**Krakow**Paris**Riga**Vilnius",
    "ground_truth_durations": "4**4**3**4**2**2**2**4",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Paris"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Rome",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Reykjavik. You plan to stay in Hamburg for 3 days. You would like to visit Paris for 2 days. From day 13 to day 14, there is a annual show you want to attend in Paris. You want to spend 2 days in Krakow. You are going to attend a wedding in Krakow between day 12 and day 13. You would like to visit Riga for 2 days. You want to spend 4 days in Rome. You want to spend 4 days in Manchester. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nRome and Paris, Paris and Riga, Manchester and Paris, Krakow and Paris, Manchester and Krakow, from Riga to Hamburg, Rome and Hamburg, Hamburg and Manchester, from Krakow to Vilnius, from Riga to Vilnius, Paris and Vilnius, Hamburg and Paris, Manchester and Riga, from Rome to Riga, Reykjavik and Paris, Reykjavik and Rome, Rome and Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Reykjavik. You plan to stay in Hamburg for 3 days. You would like to visit Paris for 2 days. From day 13 to day 14, there is a annual show you want to attend in Paris. You want to spend 2 days in Krakow. You are going to attend a wedding in Krakow between day 12 and day 13. You would like to visit Riga for 2 days. You want to spend 4 days in Rome. You want to spend 4 days in Manchester. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Paris, from Paris to Riga, from Manchester to Paris, from Krakow to Paris, from Manchester to Krakow, from Riga to Hamburg, from Rome to Hamburg, from Hamburg to Manchester, from Krakow to Vilnius, from Riga to Vilnius, from Paris to Vilnius, from Hamburg to Paris, from Manchester to Riga, from Rome to Riga, from Reykjavik to Paris, from Reykjavik to Rome, from Rome to Manchester.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Krakow.\n**Day 12-13:** Visit Krakow for 2 days.\n**Day 13:** Fly from Krakow to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1004",
    "estimated_output_tokens": 2172,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Riga, Duration: 2 days.\n* City: Rome, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 12 - 13.\n* City: Paris, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Rome, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg, Riga, Rome, Manchester, Vilnius] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 12 - 13).\n |- The departure day of Reykjavik is Day 4. The arrival day of Krakow is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Riga, Rome, Manchester, Vilnius] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 12 - 13).\n   |- The departure day of Rome is Day 7. The arrival day of Krakow is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Riga, Manchester, Vilnius] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 12 - 13).\n     |- The departure day of Hamburg is Day 9. The arrival day of Krakow is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Rome, Hamburg].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Vilnius] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Hamburg to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Hamburg to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 12 - 13).\n       |- The departure day of Manchester is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Rome, Hamburg, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Manchester to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Paris (Day 13 - 14).\n         |- The departure day of Krakow is Day 13. The arrival day of Paris is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Rome, Hamburg, Manchester, Krakow].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Paris.\n           |- Try arranging to visit Paris from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Krakow to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Reykjavik, Rome, Hamburg, Manchester, Krakow, Paris].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Paris to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Reykjavik, Rome, Hamburg, Manchester, Krakow, Paris, Riga].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Riga to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Reykjavik, Rome, Hamburg, Manchester, Krakow, Paris, Riga, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Manchester.\n**Day 9-12:** Visit Manchester for 4 days.\n**Day 12:** Fly from Manchester to Krakow.\n**Day 12-13:** Visit Krakow for 2 days.\n**Day 13:** Fly from Krakow to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Riga.\n**Day 14-15:** Visit Riga for 2 days.\n**Day 15:** Fly from Riga to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Lyon**Rome**Athens**Copenhagen**Krakow**Amsterdam**Florence",
    "ground_truth_durations": "4**5**4**2**3**4**4**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 4 days. From day 1 to day 4, there is a annual show you want to attend in Porto. You want to spend 3 days in Copenhagen. You would like to visit Athens for 2 days. You would like to visit Krakow for 4 days. You would like to visit Lyon for 5 days. You are going to attend a wedding in Lyon between day 4 and day 8. You plan to stay in Florence for 4 days. You want to meet a friend in Florence between day 20 and day 23. You would like to visit Rome for 4 days. You plan to stay in Amsterdam for 4 days.\n\nHere are the cities that have direct flights:\nPorto and Copenhagen, Porto and Amsterdam, Porto and Lyon, Rome and Copenhagen, Lyon and Rome, Krakow and Amsterdam, Athens and Copenhagen, Lyon and Amsterdam, Copenhagen and Amsterdam, Athens and Amsterdam, Rome and Athens, Amsterdam and Florence, Rome and Amsterdam, Copenhagen and Krakow.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 4 days. From day 1 to day 4, there is a annual show you want to attend in Porto. You want to spend 3 days in Copenhagen. You would like to visit Athens for 2 days. You would like to visit Krakow for 4 days. You would like to visit Lyon for 5 days. You are going to attend a wedding in Lyon between day 4 and day 8. You plan to stay in Florence for 4 days. You want to meet a friend in Florence between day 20 and day 23. You would like to visit Rome for 4 days. You plan to stay in Amsterdam for 4 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Copenhagen, from Porto to Amsterdam, from Porto to Lyon, from Rome to Copenhagen, from Lyon to Rome, from Krakow to Amsterdam, from Athens to Copenhagen, from Lyon to Amsterdam, from Copenhagen to Amsterdam, from Athens to Amsterdam, from Rome to Athens, from Amsterdam to Florence, from Rome to Amsterdam, from Copenhagen to Krakow.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Athens.\n**Day 11-12:** Visit Athens for 2 days.\n**Day 12:** Fly from Athens to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Amsterdam.\n**Day 17-20:** Visit Amsterdam for 4 days.\n**Day 20:** Fly from Amsterdam to Florence.\n**Day 20-23:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1005",
    "estimated_output_tokens": 3244,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Rome, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 4 - 8.\n* City: Florence, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Rome, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 8).\n |- The departure day of Porto is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Porto to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 20 - 23).\n   |- The departure day of Lyon is Day 8. The arrival day of Florence is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Athens, Krakow, Rome, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Lyon to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Lyon to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Lyon to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 20 - 23).\n     |- The departure day of Rome is Day 11. The arrival day of Florence is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Lyon, Rome].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Athens, Krakow, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Rome to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 20 - 23).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Florence is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Lyon, Rome, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Krakow, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Copenhagen to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Copenhagen to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 20 - 23).\n         |- The departure day of Krakow is Day 16. The arrival day of Florence is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Porto, Lyon, Rome, Copenhagen, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Athens from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Krakow to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Krakow to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 20 - 23).\n           |- The departure day of Amsterdam is Day 19. The arrival day of Florence is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Lyon, Rome, Copenhagen, Krakow, Amsterdam].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n             |- Try arranging to visit Athens from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Amsterdam to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Copenhagen to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 20 - 23).\n         |- The departure day of Amsterdam is Day 16. The arrival day of Florence is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Porto, Lyon, Rome, Copenhagen, Amsterdam].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Krakow] and explore these options in order.\n           |- Try arranging to visit Athens from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Amsterdam to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Amsterdam to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Athens from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Rome to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 20 - 23).\n       |- The departure day of Athens is Day 12. The arrival day of Florence is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Porto, Lyon, Rome, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Krakow, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Athens to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 20 - 23).\n         |- The departure day of Copenhagen is Day 14. The arrival day of Florence is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Lyon, Rome, Athens, Copenhagen].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Copenhagen to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 20 - 23).\n           |- The departure day of Krakow is Day 17. The arrival day of Florence is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Lyon, Rome, Athens, Copenhagen, Krakow].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Krakow to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 20 - 23).\n             |- The departure day of Amsterdam is Day 20. The arrival day of Florence is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Lyon, Rome, Athens, Copenhagen, Krakow, Amsterdam].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Amsterdam to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Porto, Lyon, Rome, Athens, Copenhagen, Krakow, Amsterdam, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Athens.\n**Day 11-12:** Visit Athens for 2 days.\n**Day 12:** Fly from Athens to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Amsterdam.\n**Day 17-20:** Visit Amsterdam for 4 days.\n**Day 20:** Fly from Amsterdam to Florence.\n**Day 20-23:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Rome**Riga**Tallinn**Vilnius**Copenhagen**Budapest**Stuttgart",
    "ground_truth_durations": "5**3**5**2**2**2**5**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You want to spend 2 days in Copenhagen. You want to spend 2 days in Vilnius. You want to spend 5 days in Riga. You want to spend 3 days in Rome. You plan to stay in Budapest for 5 days. You plan to visit relatives in Budapest between day 14 and day 18. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in London. From day 1 to day 5, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, Riga and Copenhagen, from Riga to Vilnius, Rome and Budapest, London and Budapest, London and Rome, Copenhagen and Stuttgart, Budapest and Stuttgart, London and Copenhagen, Rome and Stuttgart, from Rome to Riga, London and Stuttgart, Tallinn and Copenhagen, from Tallinn to Vilnius, Rome and Copenhagen, Vilnius and Copenhagen, Copenhagen and Budapest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You want to spend 2 days in Copenhagen. You want to spend 2 days in Vilnius. You want to spend 5 days in Riga. You want to spend 3 days in Rome. You plan to stay in Budapest for 5 days. You plan to visit relatives in Budapest between day 14 and day 18. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in London. From day 1 to day 5, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, from Riga to Copenhagen, from Riga to Vilnius, from Rome to Budapest, from London to Budapest, from London to Rome, from Copenhagen to Stuttgart, from Budapest to Stuttgart, from London to Copenhagen, from Rome to Stuttgart, from Rome to Riga, from London to Stuttgart, from Tallinn to Copenhagen, from Tallinn to Vilnius, from Rome to Copenhagen, from Vilnius to Copenhagen, from Copenhagen to Budapest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.\n**Day 13:** Fly from Vilnius to Copenhagen.\n**Day 13-14:** Visit Copenhagen for 2 days.\n**Day 14:** Fly from Copenhagen to Budapest.\n**Day 14-18:** Visit Budapest for 5 days.\n**Day 18:** Fly from Budapest to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1006",
    "estimated_output_tokens": 4182,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Stuttgart, Duration: 3 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n* City: Budapest, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 14 - 18).\n |- The departure day of London is Day 5. The arrival day of Budapest is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Vilnius, Riga, Rome, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 14 - 18).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Budapest is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Riga, Rome, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Copenhagen to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Copenhagen to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 14 - 18).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Budapest is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Copenhagen, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Riga, Rome] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Stuttgart to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Stuttgart to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from London to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 14 - 18).\n   |- The departure day of Rome is Day 7. The arrival day of Budapest is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Vilnius, Riga, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 14 - 18).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Budapest is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Rome, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Riga, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Budapest (Day 14 - 18).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Budapest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Rome, Copenhagen, Stuttgart].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Riga] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stuttgart to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stuttgart to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stuttgart to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 14 - 18).\n     |- The departure day of Riga is Day 11. The arrival day of Budapest is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [London, Rome, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Vilnius, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 14 - 18).\n       |- The departure day of Tallinn is Day 12. The arrival day of Budapest is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [London, Rome, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Tallinn to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 14 - 18).\n         |- The departure day of Copenhagen is Day 13. The arrival day of Budapest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Rome, Riga, Tallinn, Copenhagen].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Copenhagen to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Copenhagen to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Budapest (Day 14 - 18).\n           |- The departure day of Stuttgart is Day 15. The arrival day of Budapest is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 14 - 18).\n         |- The departure day of Vilnius is Day 13. The arrival day of Budapest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Rome, Riga, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Vilnius to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Budapest (Day 14 - 18).\n           |- The departure day of Copenhagen is Day 14. The arrival day of Budapest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [London, Rome, Riga, Tallinn, Vilnius, Copenhagen].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Copenhagen to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [London, Rome, Riga, Tallinn, Vilnius, Copenhagen, Budapest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Budapest to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [London, Rome, Riga, Tallinn, Vilnius, Copenhagen, Budapest, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Riga.\n**Day 7-11:** Visit Riga for 5 days.\n**Day 11:** Fly from Riga to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-13:** Visit Vilnius for 2 days.\n**Day 13:** Fly from Vilnius to Copenhagen.\n**Day 13-14:** Visit Copenhagen for 2 days.\n**Day 14:** Fly from Copenhagen to Budapest.\n**Day 14-18:** Visit Budapest for 5 days.\n**Day 18:** Fly from Budapest to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Krakow**Prague**Florence**Barcelona**Lyon**Oslo**Reykjavik",
    "ground_truth_durations": "3**3**4**5**3**4**4**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Prague",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You would like to meet your friends at Reykjavik between day 20 and day 24 to tour together. You would like to visit Lyon for 4 days. You would like to visit Stockholm for 3 days. From day 1 to day 3, there is a annual show you want to attend in Stockholm. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 3 and day 5. You plan to stay in Florence for 5 days. You plan to stay in Oslo for 4 days. You would like to visit Prague for 4 days. During day 5 and day 8, you have to attend a conference in Prague. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Stockholm and Prague, Krakow and Prague, Krakow and Barcelona, Stockholm and Krakow, Stockholm and Oslo, Barcelona and Reykjavik, Oslo and Reykjavik, Florence and Barcelona, Prague and Oslo, Lyon and Oslo, Stockholm and Barcelona, Krakow and Oslo, Barcelona and Oslo, Barcelona and Lyon, Stockholm and Reykjavik, Prague and Barcelona, Prague and Florence, Prague and Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You would like to meet your friends at Reykjavik between day 20 and day 24 to tour together. You would like to visit Lyon for 4 days. You would like to visit Stockholm for 3 days. From day 1 to day 3, there is a annual show you want to attend in Stockholm. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 3 and day 5. You plan to stay in Florence for 5 days. You plan to stay in Oslo for 4 days. You would like to visit Prague for 4 days. During day 5 and day 8, you have to attend a conference in Prague. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Stockholm to Prague, from Krakow to Prague, from Krakow to Barcelona, from Stockholm to Krakow, from Stockholm to Oslo, from Barcelona to Reykjavik, from Oslo to Reykjavik, from Florence to Barcelona, from Prague to Oslo, from Lyon to Oslo, from Stockholm to Barcelona, from Krakow to Oslo, from Barcelona to Oslo, from Barcelona to Lyon, from Stockholm to Reykjavik, from Prague to Barcelona, from Prague to Florence, from Prague to Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Krakow.\n**Day 3-5:** Visit Krakow for 3 days.\n**Day 5:** Fly from Krakow to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-12:** Visit Florence for 5 days.\n**Day 12:** Fly from Florence to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Lyon.\n**Day 14-17:** Visit Lyon for 4 days.\n**Day 17:** Fly from Lyon to Oslo.\n**Day 17-20:** Visit Oslo for 4 days.\n**Day 20:** Fly from Oslo to Reykjavik.\n**Day 20-24:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_1007",
    "estimated_output_tokens": 2785,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Lyon, Duration: 4 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Florence, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n* City: Krakow, Fixed Schedule: Day 3 - 5.\n* City: Prague, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 5).\n |- The departure day of Stockholm is Day 3. The arrival day of Krakow is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 5 - 8).\n   |- The departure day of Krakow is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Krakow].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 20 - 24).\n     |- The departure day of Prague is Day 8. The arrival day of Reykjavik is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stockholm, Krakow, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Florence, Oslo, Barcelona] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 20 - 24).\n       |- The departure day of Lyon is Day 11. The arrival day of Reykjavik is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stockholm, Krakow, Prague, Lyon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Oslo, Barcelona] and explore these options in order.\n         |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lyon to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Lyon to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 20 - 24).\n         |- The departure day of Oslo is Day 14. The arrival day of Reykjavik is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stockholm, Krakow, Prague, Lyon, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Oslo to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Barcelona.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lyon to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 20 - 24).\n       |- The departure day of Florence is Day 12. The arrival day of Reykjavik is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stockholm, Krakow, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Oslo, Barcelona] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Florence to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Florence to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Florence to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Reykjavik (Day 20 - 24).\n         |- The departure day of Barcelona is Day 14. The arrival day of Reykjavik is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stockholm, Krakow, Prague, Florence, Barcelona].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Oslo] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Barcelona to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 20 - 24).\n           |- The departure day of Lyon is Day 17. The arrival day of Reykjavik is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Stockholm, Krakow, Prague, Florence, Barcelona, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Reykjavik (Day 20 - 24).\n             |- The departure day of Oslo is Day 20. The arrival day of Reykjavik is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stockholm, Krakow, Prague, Florence, Barcelona, Lyon, Oslo].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Reykjavik.\n               |- Try arranging to visit Reykjavik from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Oslo to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Stockholm, Krakow, Prague, Florence, Barcelona, Lyon, Oslo, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Krakow.\n**Day 3-5:** Visit Krakow for 3 days.\n**Day 5:** Fly from Krakow to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-12:** Visit Florence for 5 days.\n**Day 12:** Fly from Florence to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Lyon.\n**Day 14-17:** Visit Lyon for 4 days.\n**Day 17:** Fly from Lyon to Oslo.\n**Day 17-20:** Visit Oslo for 4 days.\n**Day 20:** Fly from Oslo to Reykjavik.\n**Day 20-24:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Barcelona**Tallinn**Amsterdam**Naples**Athens**Vilnius**Munich",
    "ground_truth_durations": "4**2**4**2**3**5**4**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. During day 15 and day 18, you have to attend a conference in Vilnius. You plan to stay in Amsterdam for 2 days. You plan to visit relatives in Amsterdam between day 8 and day 9. You want to spend 2 days in Munich. You plan to stay in Lisbon for 4 days. You would like to meet your friends at Lisbon between day 1 and day 4 to tour together. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 11 and day 15. You would like to visit Naples for 3 days. You would like to visit Tallinn for 4 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Vilnius, Barcelona and Tallinn, from Tallinn to Vilnius, Barcelona and Athens, Amsterdam and Munich, Tallinn and Amsterdam, Naples and Munich, Lisbon and Amsterdam, Athens and Vilnius, Naples and Athens, from Vilnius to Munich, Lisbon and Munich, Lisbon and Athens, Lisbon and Naples, Athens and Munich, Amsterdam and Naples, Lisbon and Barcelona, Barcelona and Munich, Barcelona and Naples, Tallinn and Munich, Amsterdam and Athens, Barcelona and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. During day 15 and day 18, you have to attend a conference in Vilnius. You plan to stay in Amsterdam for 2 days. You plan to visit relatives in Amsterdam between day 8 and day 9. You want to spend 2 days in Munich. You plan to stay in Lisbon for 4 days. You would like to meet your friends at Lisbon between day 1 and day 4 to tour together. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 11 and day 15. You would like to visit Naples for 3 days. You would like to visit Tallinn for 4 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Vilnius, from Barcelona to Tallinn, from Tallinn to Vilnius, from Barcelona to Athens, from Amsterdam to Munich, from Tallinn to Amsterdam, from Naples to Munich, from Lisbon to Amsterdam, from Athens to Vilnius, from Naples to Athens, from Vilnius to Munich, from Lisbon to Munich, from Lisbon to Athens, from Lisbon to Naples, from Athens to Munich, from Amsterdam to Naples, from Lisbon to Barcelona, from Barcelona to Munich, from Barcelona to Naples, from Tallinn to Munich, from Amsterdam to Athens, from Barcelona to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Tallinn.\n**Day 5-8:** Visit Tallinn for 4 days.\n**Day 8:** Fly from Tallinn to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Munich.\n**Day 18-19:** Visit Munich for 2 days.",
    "id": "trip_planning_example_1008",
    "estimated_output_tokens": 4110,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Munich, Duration: 2 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Naples, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Fixed Schedule: Day 8 - 9.\n* City: Athens, Fixed Schedule: Day 11 - 15.\n* City: Vilnius, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Naples, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 8 - 9).\n |- The departure day of Lisbon is Day 4. The arrival day of Amsterdam is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Naples, Tallinn, Barcelona] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lisbon to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 8 - 9).\n   |- The departure day of Munich is Day 5. The arrival day of Amsterdam is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lisbon, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Tallinn, Barcelona] and explore these options in order.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lisbon to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 8 - 9).\n   |- The departure day of Naples is Day 6. The arrival day of Amsterdam is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn, Barcelona] and explore these options in order.\n     |- Try arranging to visit Munich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 8 - 9).\n     |- The departure day of Munich is Day 7. The arrival day of Amsterdam is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lisbon, Naples, Munich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Munich to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Munich to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Naples to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lisbon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lisbon to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 8 - 9).\n   |- The departure day of Barcelona is Day 5. The arrival day of Amsterdam is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lisbon, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Naples, Tallinn] and explore these options in order.\n     |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Barcelona to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 8 - 9).\n     |- The departure day of Munich is Day 6. The arrival day of Amsterdam is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lisbon, Barcelona, Munich].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Tallinn] and explore these options in order.\n       |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Munich to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Munich to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Barcelona to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 8 - 9).\n     |- The departure day of Naples is Day 7. The arrival day of Amsterdam is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lisbon, Barcelona, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn] and explore these options in order.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Naples to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 8 - 9).\n       |- The departure day of Munich is Day 8. The arrival day of Amsterdam is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Lisbon, Barcelona, Naples, Munich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Munich to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Naples to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Barcelona to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 8 - 9).\n     |- The departure day of Tallinn is Day 8. The arrival day of Amsterdam is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Barcelona, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Amsterdam.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 11 - 15).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Athens is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Naples] and explore these options in order.\n         |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Amsterdam to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 11 - 15).\n         |- The departure day of Munich is Day 10. The arrival day of Athens is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam, Munich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Munich to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 11 - 15).\n         |- The departure day of Naples is Day 11. The arrival day of Athens is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam, Naples].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Naples to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 15 - 18).\n           |- The departure day of Athens is Day 15. The arrival day of Vilnius is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam, Naples, Athens].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Athens to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam, Naples, Athens, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n               |- Try arranging to visit Munich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Vilnius to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Lisbon, Barcelona, Tallinn, Amsterdam, Naples, Athens, Vilnius, Munich].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Tallinn.\n**Day 5-8:** Visit Tallinn for 4 days.\n**Day 8:** Fly from Tallinn to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Munich.\n**Day 18-19:** Visit Munich for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Manchester**Istanbul**Riga**Bucharest**Vienna**Florence",
    "ground_truth_durations": "4**5**5**2**4**4**2**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You want to spend 5 days in Manchester. You would like to visit Bucharest for 4 days. You have to attend a workshop in Bucharest between day 16 and day 19. You want to spend 4 days in Florence. You would like to visit Vienna for 2 days. You plan to stay in Istanbul for 2 days. From day 12 to day 13, there is a annual show you want to attend in Istanbul. You plan to stay in Reykjavik for 4 days. You would like to visit Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nBucharest and Vienna, Reykjavik and Vienna, Manchester and Vienna, Manchester and Riga, Riga and Vienna, Istanbul and Vienna, Vienna and Florence, Stuttgart and Vienna, Riga and Bucharest, Istanbul and Riga, Stuttgart and Istanbul, from Reykjavik to Stuttgart, Istanbul and Bucharest, Manchester and Istanbul, Manchester and Bucharest, Stuttgart and Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 4 days. You want to spend 5 days in Manchester. You would like to visit Bucharest for 4 days. You have to attend a workshop in Bucharest between day 16 and day 19. You want to spend 4 days in Florence. You would like to visit Vienna for 2 days. You plan to stay in Istanbul for 2 days. From day 12 to day 13, there is a annual show you want to attend in Istanbul. You plan to stay in Reykjavik for 4 days. You would like to visit Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Vienna, from Reykjavik to Vienna, from Manchester to Vienna, from Manchester to Riga, from Riga to Vienna, from Istanbul to Vienna, from Vienna to Florence, from Stuttgart to Vienna, from Riga to Bucharest, from Istanbul to Riga, from Stuttgart to Istanbul, from Reykjavik to Stuttgart, from Istanbul to Bucharest, from Manchester to Istanbul, from Manchester to Bucharest, from Stuttgart to Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-8:** Visit Stuttgart for 5 days.\n**Day 8:** Fly from Stuttgart to Manchester.\n**Day 8-12:** Visit Manchester for 5 days.\n**Day 12:** Fly from Manchester to Istanbul.\n**Day 12-13:** Visit Istanbul for 2 days.\n**Day 13:** Fly from Istanbul to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Bucharest.\n**Day 16-19:** Visit Bucharest for 4 days.\n**Day 19:** Fly from Bucharest to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Florence.\n**Day 20-23:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1009",
    "estimated_output_tokens": 7337,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Florence, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 12 - 13.\n* City: Bucharest, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Manchester, Florence, Vienna, Reykjavik, Stuttgart] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 12 - 13).\n |- The departure day of Riga is Day 4. The arrival day of Istanbul is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Florence, Vienna, Reykjavik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 12 - 13).\n   |- The departure day of Vienna is Day 5. The arrival day of Istanbul is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Florence, Reykjavik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 12 - 13).\n     |- The departure day of Florence is Day 8. The arrival day of Istanbul is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Vienna, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Reykjavik, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Florence to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 12 - 13).\n |- The departure day of Manchester is Day 5. The arrival day of Istanbul is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Florence, Vienna, Reykjavik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 12 - 13).\n   |- The departure day of Riga is Day 8. The arrival day of Istanbul is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Riga].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Vienna, Reykjavik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Riga to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Riga to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 12 - 13).\n     |- The departure day of Vienna is Day 9. The arrival day of Istanbul is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Riga, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Reykjavik, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vienna to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 12 - 13).\n       |- The departure day of Florence is Day 12. The arrival day of Istanbul is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Manchester, Riga, Vienna, Florence].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Florence to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vienna to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Riga to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Riga to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Manchester to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 12 - 13).\n   |- The departure day of Vienna is Day 6. The arrival day of Istanbul is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Florence, Reykjavik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 12 - 13).\n     |- The departure day of Florence is Day 9. The arrival day of Istanbul is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Vienna, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Reykjavik, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Florence to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vienna to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Manchester to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 12 - 13).\n |- The departure day of Florence is Day 4. The arrival day of Istanbul is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Vienna, Reykjavik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 12 - 13).\n |- The departure day of Vienna is Day 2. The arrival day of Istanbul is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Florence, Reykjavik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 12 - 13).\n   |- The departure day of Florence is Day 5. The arrival day of Istanbul is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Reykjavik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Florence to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Florence to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 12 - 13).\n |- The departure day of Reykjavik is Day 4. The arrival day of Istanbul is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Florence, Vienna, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 12 - 13).\n   |- The departure day of Vienna is Day 5. The arrival day of Istanbul is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Florence, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 12 - 13).\n     |- The departure day of Florence is Day 8. The arrival day of Istanbul is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Vienna, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Florence to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 12 - 13).\n   |- The departure day of Stuttgart is Day 8. The arrival day of Istanbul is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Florence, Vienna] and explore these options in order.\n     |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stuttgart to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stuttgart to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 12 - 13).\n     |- The departure day of Manchester is Day 12. The arrival day of Istanbul is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Stuttgart, Manchester].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Manchester to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 16 - 19).\n       |- The departure day of Istanbul is Day 13. The arrival day of Bucharest is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Manchester, Istanbul].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Florence, Vienna] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Istanbul to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 16 - 19).\n         |- The departure day of Riga is Day 16. The arrival day of Bucharest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Reykjavik, Stuttgart, Manchester, Istanbul, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Riga to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Reykjavik, Stuttgart, Manchester, Istanbul, Riga, Bucharest].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Vienna] and explore these options in order.\n             |- Try arranging to visit Florence from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Bucharest to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Bucharest to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Reykjavik, Stuttgart, Manchester, Istanbul, Riga, Bucharest, Vienna].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Vienna to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Reykjavik, Stuttgart, Manchester, Istanbul, Riga, Bucharest, Vienna, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-8:** Visit Stuttgart for 5 days.\n**Day 8:** Fly from Stuttgart to Manchester.\n**Day 8-12:** Visit Manchester for 5 days.\n**Day 12:** Fly from Manchester to Istanbul.\n**Day 12-13:** Visit Istanbul for 2 days.\n**Day 13:** Fly from Istanbul to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Bucharest.\n**Day 16-19:** Visit Bucharest for 4 days.\n**Day 19:** Fly from Bucharest to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Florence.\n**Day 20-23:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Venice**Brussels**Edinburgh**London**Santorini**Vienna**Stuttgart",
    "ground_truth_durations": "2**4**3**3**2**2**3**2",
    "num_cities": 8,
    "total_days": 14,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Venice",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Naples for 2 days. You are going to attend a wedding in Naples between day 1 and day 2. You want to spend 3 days in Vienna. You would like to visit London for 2 days. You plan to stay in Brussels for 3 days. You would like to visit Venice for 4 days. You have to attend a workshop in Venice between day 2 and day 5. You want to spend 2 days in Santorini. You want to spend 3 days in Edinburgh. You want to meet a friend in Edinburgh between day 7 and day 9. You want to spend 2 days in Stuttgart. You plan to visit relatives in Stuttgart between day 13 and day 14.\n\nHere are the cities that have direct flights:\nBrussels and Vienna, Naples and Stuttgart, Venice and London, Venice and Edinburgh, Brussels and London, Naples and London, Brussels and Edinburgh, Naples and Venice, Venice and Stuttgart, Naples and Brussels, Santorini and Vienna, London and Vienna, Edinburgh and Stuttgart, Naples and Vienna, London and Santorini, Venice and Brussels, Naples and Santorini, Vienna and Stuttgart, London and Stuttgart, Venice and Vienna, Edinburgh and London, Venice and Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 14 days in total. You only take direct flights to commute between cities. You plan to stay in Naples for 2 days. You are going to attend a wedding in Naples between day 1 and day 2. You want to spend 3 days in Vienna. You would like to visit London for 2 days. You plan to stay in Brussels for 3 days. You would like to visit Venice for 4 days. You have to attend a workshop in Venice between day 2 and day 5. You want to spend 2 days in Santorini. You want to spend 3 days in Edinburgh. You want to meet a friend in Edinburgh between day 7 and day 9. You want to spend 2 days in Stuttgart. You plan to visit relatives in Stuttgart between day 13 and day 14.\n\nHere are the cities that have direct flights:\nfrom Brussels to Vienna, from Naples to Stuttgart, from Venice to London, from Venice to Edinburgh, from Brussels to London, from Naples to London, from Brussels to Edinburgh, from Naples to Venice, from Venice to Stuttgart, from Naples to Brussels, from Santorini to Vienna, from London to Vienna, from Edinburgh to Stuttgart, from Naples to Vienna, from London to Santorini, from Venice to Brussels, from Naples to Santorini, from Vienna to Stuttgart, from London to Stuttgart, from Venice to Vienna, from Edinburgh to London, from Venice to Santorini.\n\nFind a trip plan of visiting the cities for 14 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 14 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Brussels.\n**Day 5-7:** Visit Brussels for 3 days.\n**Day 7:** Fly from Brussels to Edinburgh.\n**Day 7-9:** Visit Edinburgh for 3 days.\n**Day 9:** Fly from Edinburgh to London.\n**Day 9-10:** Visit London for 2 days.\n**Day 10:** Fly from London to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_1010",
    "estimated_output_tokens": 3233,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Vienna, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Santorini, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 2 - 5.\n* City: Edinburgh, Fixed Schedule: Day 7 - 9.\n* City: Stuttgart, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 5).\n |- The departure day of Naples is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Naples to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 7 - 9).\n   |- The departure day of Venice is Day 5. The arrival day of Edinburgh is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, London, Brussels, Santorini] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 9).\n     |- The departure day of Vienna is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Venice, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vienna to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 9).\n     |- The departure day of London is Day 6. The arrival day of Edinburgh is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Venice, London].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Brussels, Santorini] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from London to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 7 - 9).\n       |- The departure day of Vienna is Day 8. The arrival day of Edinburgh is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Brussels from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from London to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from London to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 7 - 9).\n       |- The departure day of Santorini is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Naples, Venice, London, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Santorini to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 7 - 9).\n     |- The departure day of Brussels is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Venice, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 13 - 14).\n       |- The departure day of Edinburgh is Day 9. The arrival day of Stuttgart is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Venice, Brussels, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, London, Santorini] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Edinburgh to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Edinburgh to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 13 - 14).\n         |- The departure day of London is Day 10. The arrival day of Stuttgart is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Venice, Brussels, Edinburgh, London].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Santorini] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from London to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 13 - 14).\n           |- The departure day of Vienna is Day 12. The arrival day of Stuttgart is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Naples, Venice, Brussels, Edinburgh, London, Vienna].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Vienna to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from London to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 13 - 14).\n           |- The departure day of Santorini is Day 11. The arrival day of Stuttgart is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Naples, Venice, Brussels, Edinburgh, London, Santorini].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Santorini to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 13 - 14).\n             |- The departure day of Vienna is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Naples, Venice, Brussels, Edinburgh, London, Santorini, Vienna].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n               |- Check for direct flight from Vienna to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 14. Current plan: [Naples, Venice, Brussels, Edinburgh, London, Santorini, Vienna, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Brussels.\n**Day 5-7:** Visit Brussels for 3 days.\n**Day 7:** Fly from Brussels to Edinburgh.\n**Day 7-9:** Visit Edinburgh for 3 days.\n**Day 9:** Fly from Edinburgh to London.\n**Day 9-10:** Visit London for 2 days.\n**Day 10:** Fly from London to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Madrid**Venice**Nice**Mykonos**Munich**Lisbon**Bucharest",
    "ground_truth_durations": "3**5**5**5**4**3**4**4",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 23,
        "end_day": 26
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Nice"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Nice",
        "Munich"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Seville",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Seville. You want to spend 5 days in Venice. You want to spend 5 days in Madrid. During day 3 and day 7, you have to attend a conference in Madrid. You would like to visit Munich for 3 days. You want to meet a friend in Munich between day 18 and day 20. You want to spend 4 days in Mykonos. You have to attend a workshop in Mykonos between day 15 and day 18. You would like to visit Lisbon for 4 days. You would like to visit Nice for 5 days. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 23 and day 26.\n\nHere are the cities that have direct flights:\nVenice and Nice, Seville and Lisbon, Venice and Munich, Madrid and Nice, Munich and Bucharest, Madrid and Lisbon, Venice and Lisbon, Nice and Munich, Lisbon and Bucharest, Madrid and Munich, Nice and Lisbon, Madrid and Bucharest, Seville and Munich, Munich and Lisbon, Mykonos and Munich, Madrid and Venice, Nice and Mykonos, Madrid and Mykonos, Seville and Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Seville. You want to spend 5 days in Venice. You want to spend 5 days in Madrid. During day 3 and day 7, you have to attend a conference in Madrid. You would like to visit Munich for 3 days. You want to meet a friend in Munich between day 18 and day 20. You want to spend 4 days in Mykonos. You have to attend a workshop in Mykonos between day 15 and day 18. You would like to visit Lisbon for 4 days. You would like to visit Nice for 5 days. You plan to stay in Bucharest for 4 days. You are going to attend a wedding in Bucharest between day 23 and day 26.\n\nHere are the cities that have direct flights:\nfrom Venice to Nice, from Seville to Lisbon, from Venice to Munich, from Madrid to Nice, from Munich to Bucharest, from Madrid to Lisbon, from Venice to Lisbon, from Nice to Munich, from Lisbon to Bucharest, from Madrid to Munich, from Nice to Lisbon, from Madrid to Bucharest, from Seville to Munich, from Munich to Lisbon, from Mykonos to Munich, from Madrid to Venice, from Nice to Mykonos, from Madrid to Mykonos, from Seville to Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Nice.\n**Day 11-15:** Visit Nice for 5 days.\n**Day 15:** Fly from Nice to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n**Day 18:** Fly from Mykonos to Munich.\n**Day 18-20:** Visit Munich for 3 days.\n**Day 20:** Fly from Munich to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Bucharest.\n**Day 23-26:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_1011",
    "estimated_output_tokens": 2316,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Lisbon, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 3 - 7.\n* City: Mykonos, Fixed Schedule: Day 15 - 18.\n* City: Munich, Fixed Schedule: Day 18 - 20.\n* City: Bucharest, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Lisbon, Duration: 4 days.\n* City: Nice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Venice, Lisbon, Nice] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 7).\n |- The departure day of Seville is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 15 - 18).\n   |- The departure day of Madrid is Day 7. The arrival day of Mykonos is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Seville, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Lisbon, Nice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 15 - 18).\n     |- The departure day of Venice is Day 11. The arrival day of Mykonos is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Madrid, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Nice] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Venice to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 15 - 18).\n       |- The departure day of Lisbon is Day 14. The arrival day of Mykonos is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Seville, Madrid, Venice, Lisbon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lisbon to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 15 - 18).\n       |- The departure day of Nice is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Madrid, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Nice to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Munich (Day 18 - 20).\n         |- The departure day of Mykonos is Day 18. The arrival day of Munich is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Seville, Madrid, Venice, Nice, Mykonos].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Mykonos to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 23 - 26).\n           |- The departure day of Munich is Day 20. The arrival day of Bucharest is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Seville, Madrid, Venice, Nice, Mykonos, Munich].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Munich to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Bucharest (Day 23 - 26).\n             |- The departure day of Lisbon is Day 23. The arrival day of Bucharest is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Seville, Madrid, Venice, Nice, Mykonos, Munich, Lisbon].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Lisbon to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Seville, Madrid, Venice, Nice, Mykonos, Munich, Lisbon, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Nice.\n**Day 11-15:** Visit Nice for 5 days.\n**Day 15:** Fly from Nice to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n**Day 18:** Fly from Mykonos to Munich.\n**Day 18-20:** Visit Munich for 3 days.\n**Day 20:** Fly from Munich to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Bucharest.\n**Day 23-26:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Istanbul**Tallinn**Oslo**Vilnius**Milan**Budapest**Lisbon",
    "ground_truth_durations": "4**4**2**3**4**2**2**3",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "London",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You have to attend a workshop in Lisbon between day 15 and day 17. You plan to stay in Milan for 2 days. You want to spend 2 days in Budapest. You would like to meet your friends at Budapest between day 14 and day 15 to tour together. You would like to visit London for 4 days. From day 1 to day 4, there is a annual show you want to attend in London. You would like to visit Vilnius for 4 days. You want to spend 3 days in Oslo. During day 8 and day 10, you have to attend a conference in Oslo. You want to spend 4 days in Istanbul. You would like to visit Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nOslo and Lisbon, London and Oslo, Milan and Budapest, Oslo and Budapest, Istanbul and Oslo, Istanbul and Milan, Istanbul and Budapest, London and Istanbul, London and Lisbon, Istanbul and Lisbon, Istanbul and Vilnius, Milan and Lisbon, from Tallinn to Vilnius, London and Milan, Budapest and Lisbon, from Istanbul to Tallinn, Tallinn and Oslo, Vilnius and Milan, Oslo and Milan, Oslo and Vilnius, London and Budapest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 3 days. You have to attend a workshop in Lisbon between day 15 and day 17. You plan to stay in Milan for 2 days. You want to spend 2 days in Budapest. You would like to meet your friends at Budapest between day 14 and day 15 to tour together. You would like to visit London for 4 days. From day 1 to day 4, there is a annual show you want to attend in London. You would like to visit Vilnius for 4 days. You want to spend 3 days in Oslo. During day 8 and day 10, you have to attend a conference in Oslo. You want to spend 4 days in Istanbul. You would like to visit Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Lisbon, from London to Oslo, from Milan to Budapest, from Oslo to Budapest, from Istanbul to Oslo, from Istanbul to Milan, from Istanbul to Budapest, from London to Istanbul, from London to Lisbon, from Istanbul to Lisbon, from Istanbul to Vilnius, from Milan to Lisbon, from Tallinn to Vilnius, from London to Milan, from Budapest to Lisbon, from Istanbul to Tallinn, from Tallinn to Oslo, from Vilnius to Milan, from Oslo to Milan, from Oslo to Vilnius, from London to Budapest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Vilnius.\n**Day 10-13:** Visit Vilnius for 4 days.\n**Day 13:** Fly from Vilnius to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Lisbon.\n**Day 15-17:** Visit Lisbon for 3 days.",
    "id": "trip_planning_example_1012",
    "estimated_output_tokens": 3073,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Milan, Duration: 2 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: London, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 4 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Istanbul, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Fixed Schedule: Day 8 - 10.\n* City: Budapest, Fixed Schedule: Day 14 - 15.\n* City: Lisbon, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 8 - 10).\n |- The departure day of London is Day 4. The arrival day of Oslo is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Istanbul, Tallinn] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 8 - 10).\n   |- The departure day of Milan is Day 5. The arrival day of Oslo is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul, Tallinn] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 8 - 10).\n   |- The departure day of Istanbul is Day 7. The arrival day of Oslo is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Tallinn] and explore these options in order.\n     |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 8 - 10).\n     |- The departure day of Milan is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Istanbul, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Milan to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 8 - 10).\n     |- The departure day of Vilnius is Day 10. The arrival day of Oslo is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 8 - 10).\n     |- The departure day of Tallinn is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Tallinn to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Budapest (Day 14 - 15).\n       |- The departure day of Oslo is Day 10. The arrival day of Budapest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Istanbul, Tallinn, Oslo].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Oslo to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 14 - 15).\n         |- The departure day of Milan is Day 11. The arrival day of Budapest is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [London, Istanbul, Tallinn, Oslo, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Milan to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Oslo to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 14 - 15).\n         |- The departure day of Vilnius is Day 13. The arrival day of Budapest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Istanbul, Tallinn, Oslo, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n           |- Try arranging to visit Milan from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Vilnius to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Budapest (Day 14 - 15).\n           |- The departure day of Milan is Day 14. The arrival day of Budapest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [London, Istanbul, Tallinn, Oslo, Vilnius, Milan].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Milan to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lisbon (Day 15 - 17).\n             |- The departure day of Budapest is Day 15. The arrival day of Lisbon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [London, Istanbul, Tallinn, Oslo, Vilnius, Milan, Budapest].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Lisbon.\n               |- Try arranging to visit Lisbon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Budapest to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [London, Istanbul, Tallinn, Oslo, Vilnius, Milan, Budapest, Lisbon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Istanbul.\n**Day 4-7:** Visit Istanbul for 4 days.\n**Day 7:** Fly from Istanbul to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Vilnius.\n**Day 10-13:** Visit Vilnius for 4 days.\n**Day 13:** Fly from Vilnius to Milan.\n**Day 13-14:** Visit Milan for 2 days.\n**Day 14:** Fly from Milan to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Lisbon.\n**Day 15-17:** Visit Lisbon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Istanbul**Krakow**Frankfurt**Madrid**Seville**Vienna**Lisbon",
    "ground_truth_durations": "5**5**4**5**5**2**3**4",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Madrid"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Vienna",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Seville. You want to spend 4 days in Lisbon. You have to attend a workshop in Lisbon between day 23 and day 26. You plan to stay in Krakow for 4 days. You want to spend 5 days in Istanbul. From day 5 to day 9, there is a annual show you want to attend in Istanbul. You would like to visit Vienna for 3 days. You would like to meet your friends at Vienna between day 21 and day 23 to tour together. You would like to visit Prague for 5 days. You plan to visit relatives in Prague between day 1 and day 5. You would like to visit Madrid for 5 days. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Lisbon, Istanbul and Krakow, Krakow and Frankfurt, Prague and Madrid, Seville and Vienna, Istanbul and Madrid, Istanbul and Vienna, Madrid and Lisbon, Prague and Istanbul, Prague and Lisbon, Madrid and Seville, Frankfurt and Lisbon, Krakow and Lisbon, Seville and Lisbon, Prague and Frankfurt, Madrid and Vienna, Frankfurt and Vienna, Frankfurt and Madrid, Istanbul and Frankfurt, Prague and Krakow, Prague and Vienna, Krakow and Vienna, Vienna and Lisbon.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Seville. You want to spend 4 days in Lisbon. You have to attend a workshop in Lisbon between day 23 and day 26. You plan to stay in Krakow for 4 days. You want to spend 5 days in Istanbul. From day 5 to day 9, there is a annual show you want to attend in Istanbul. You would like to visit Vienna for 3 days. You would like to meet your friends at Vienna between day 21 and day 23 to tour together. You would like to visit Prague for 5 days. You plan to visit relatives in Prague between day 1 and day 5. You would like to visit Madrid for 5 days. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Lisbon, from Istanbul to Krakow, from Krakow to Frankfurt, from Prague to Madrid, from Seville to Vienna, from Istanbul to Madrid, from Istanbul to Vienna, from Madrid to Lisbon, from Prague to Istanbul, from Prague to Lisbon, from Madrid to Seville, from Frankfurt to Lisbon, from Krakow to Lisbon, from Seville to Lisbon, from Prague to Frankfurt, from Madrid to Vienna, from Frankfurt to Vienna, from Frankfurt to Madrid, from Istanbul to Frankfurt, from Prague to Krakow, from Prague to Vienna, from Krakow to Vienna, from Vienna to Lisbon.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Krakow.\n**Day 9-12:** Visit Krakow for 4 days.\n**Day 12:** Fly from Krakow to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Seville.\n**Day 20-21:** Visit Seville for 2 days.\n**Day 21:** Fly from Seville to Vienna.\n**Day 21-23:** Visit Vienna for 3 days.\n**Day 23:** Fly from Vienna to Lisbon.\n**Day 23-26:** Visit Lisbon for 4 days.",
    "id": "trip_planning_example_1013",
    "estimated_output_tokens": 2214,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Krakow, Duration: 4 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 5 - 9.\n* City: Vienna, Fixed Schedule: Day 21 - 23.\n* City: Lisbon, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Madrid, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 9).\n |- The departure day of Prague is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Prague to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 21 - 23).\n   |- The departure day of Istanbul is Day 9. The arrival day of Vienna is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Prague, Istanbul].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Krakow, Madrid, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Istanbul to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Istanbul to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 21 - 23).\n     |- The departure day of Krakow is Day 12. The arrival day of Vienna is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Prague, Istanbul, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Madrid, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Krakow to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Krakow to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Krakow to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vienna (Day 21 - 23).\n       |- The departure day of Frankfurt is Day 16. The arrival day of Vienna is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Prague, Istanbul, Krakow, Frankfurt].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Madrid] and explore these options in order.\n         |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Frankfurt to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Frankfurt to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vienna (Day 21 - 23).\n         |- The departure day of Madrid is Day 20. The arrival day of Vienna is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Prague, Istanbul, Krakow, Frankfurt, Madrid].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Madrid to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vienna (Day 21 - 23).\n           |- The departure day of Seville is Day 21. The arrival day of Vienna is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Prague, Istanbul, Krakow, Frankfurt, Madrid, Seville].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Seville to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Lisbon (Day 23 - 26).\n             |- The departure day of Vienna is Day 23. The arrival day of Lisbon is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Prague, Istanbul, Krakow, Frankfurt, Madrid, Seville, Vienna].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Lisbon.\n               |- Try arranging to visit Lisbon from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Vienna to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Prague, Istanbul, Krakow, Frankfurt, Madrid, Seville, Vienna, Lisbon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Istanbul.\n**Day 5-9:** Visit Istanbul for 5 days.\n**Day 9:** Fly from Istanbul to Krakow.\n**Day 9-12:** Visit Krakow for 4 days.\n**Day 12:** Fly from Krakow to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Seville.\n**Day 20-21:** Visit Seville for 2 days.\n**Day 21:** Fly from Seville to Vienna.\n**Day 21-23:** Visit Vienna for 3 days.\n**Day 23:** Fly from Vienna to Lisbon.\n**Day 23-26:** Visit Lisbon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Lisbon**Prague**Budapest**Dublin**Edinburgh**Helsinki**Vilnius",
    "ground_truth_durations": "2**2**3**3**5**5**4**5",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Budapest",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. You would like to visit Dublin for 5 days. You are going to attend a wedding in Dublin between day 7 and day 11. You plan to stay in Edinburgh for 5 days. You would like to visit Vilnius for 5 days. You want to spend 3 days in Budapest. You would like to meet your friends at Budapest between day 5 and day 7 to tour together. You want to spend 3 days in Prague. You want to meet a friend in Prague between day 3 and day 5. You want to spend 2 days in Vienna. You plan to visit relatives in Vienna between day 1 and day 2. You want to spend 2 days in Lisbon.\n\nHere are the cities that have direct flights:\nLisbon and Helsinki, Budapest and Helsinki, Vienna and Helsinki, Vienna and Budapest, Lisbon and Budapest, Prague and Helsinki, Prague and Edinburgh, Dublin and Helsinki, Vienna and Lisbon, Vienna and Dublin, Prague and Dublin, Budapest and Dublin, Prague and Budapest, Dublin and Edinburgh, Lisbon and Prague, Vienna and Vilnius, Helsinki and Vilnius, Budapest and Edinburgh, Lisbon and Dublin, Vienna and Prague, Edinburgh and Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. You would like to visit Dublin for 5 days. You are going to attend a wedding in Dublin between day 7 and day 11. You plan to stay in Edinburgh for 5 days. You would like to visit Vilnius for 5 days. You want to spend 3 days in Budapest. You would like to meet your friends at Budapest between day 5 and day 7 to tour together. You want to spend 3 days in Prague. You want to meet a friend in Prague between day 3 and day 5. You want to spend 2 days in Vienna. You plan to visit relatives in Vienna between day 1 and day 2. You want to spend 2 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Helsinki, from Budapest to Helsinki, from Vienna to Helsinki, from Vienna to Budapest, from Lisbon to Budapest, from Prague to Helsinki, from Prague to Edinburgh, from Dublin to Helsinki, from Vienna to Lisbon, from Vienna to Dublin, from Prague to Dublin, from Budapest to Dublin, from Prague to Budapest, from Dublin to Edinburgh, from Lisbon to Prague, from Vienna to Vilnius, from Helsinki to Vilnius, from Budapest to Edinburgh, from Lisbon to Dublin, from Vienna to Prague, from Edinburgh to Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Dublin.\n**Day 7-11:** Visit Dublin for 5 days.\n**Day 11:** Fly from Dublin to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-18:** Visit Helsinki for 4 days.\n**Day 18:** Fly from Helsinki to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1014",
    "estimated_output_tokens": 2646,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Edinburgh, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n* City: Prague, Fixed Schedule: Day 3 - 5.\n* City: Budapest, Fixed Schedule: Day 5 - 7.\n* City: Dublin, Fixed Schedule: Day 7 - 11.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 5).\n |- The departure day of Vienna is Day 2. The arrival day of Prague is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Edinburgh, Vilnius, Lisbon] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 5).\n   |- The departure day of Helsinki is Day 5. The arrival day of Prague is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 5).\n   |- The departure day of Vilnius is Day 6. The arrival day of Prague is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vienna to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 5).\n   |- The departure day of Lisbon is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vienna, Lisbon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lisbon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 5 - 7).\n     |- The departure day of Prague is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Vienna, Lisbon, Prague].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Prague to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 7 - 11).\n       |- The departure day of Budapest is Day 7. The arrival day of Dublin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Vienna, Lisbon, Prague, Budapest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Budapest to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Edinburgh, Vilnius] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Dublin to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin, Helsinki].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Helsinki to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Helsinki to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin, Helsinki, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n               |- Try arranging to visit Edinburgh from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Vilnius to Edinburgh.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Dublin to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin, Edinburgh].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Edinburgh to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin, Edinburgh, Helsinki].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Helsinki to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Vienna, Lisbon, Prague, Budapest, Dublin, Edinburgh, Helsinki, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Lisbon.\n**Day 2-3:** Visit Lisbon for 2 days.\n**Day 3:** Fly from Lisbon to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Dublin.\n**Day 7-11:** Visit Dublin for 5 days.\n**Day 11:** Fly from Dublin to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-18:** Visit Helsinki for 4 days.\n**Day 18:** Fly from Helsinki to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Riga**Vilnius**Munich**Lyon**Madrid**Lisbon**Krakow",
    "ground_truth_durations": "2**5**5**5**3**4**5**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 16,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Lyon"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You want to spend 5 days in Lisbon. You want to spend 3 days in Krakow. You want to spend 3 days in Lyon. You plan to stay in Rome for 2 days. You would like to visit Vilnius for 5 days. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 2 and day 6. You plan to stay in Madrid for 4 days. You plan to visit relatives in Madrid between day 16 and day 19.\n\nHere are the cities that have direct flights:\nRome and Lyon, from Vilnius to Munich, Lyon and Lisbon, Lyon and Madrid, Riga and Lisbon, Rome and Madrid, Munich and Madrid, Rome and Lisbon, Munich and Lisbon, Munich and Lyon, from Riga to Vilnius, from Riga to Munich, Munich and Krakow, from Krakow to Vilnius, Madrid and Lisbon, Lisbon and Krakow, from Rome to Riga, Rome and Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You want to spend 5 days in Lisbon. You want to spend 3 days in Krakow. You want to spend 3 days in Lyon. You plan to stay in Rome for 2 days. You would like to visit Vilnius for 5 days. You would like to visit Riga for 5 days. You are going to attend a wedding in Riga between day 2 and day 6. You plan to stay in Madrid for 4 days. You plan to visit relatives in Madrid between day 16 and day 19.\n\nHere are the cities that have direct flights:\nfrom Rome to Lyon, from Vilnius to Munich, from Lyon to Lisbon, from Lyon to Madrid, from Riga to Lisbon, from Rome to Madrid, from Munich to Madrid, from Rome to Lisbon, from Munich to Lisbon, from Munich to Lyon, from Riga to Vilnius, from Riga to Munich, from Munich to Krakow, from Krakow to Vilnius, from Madrid to Lisbon, from Lisbon to Krakow, from Rome to Riga, from Rome to Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-2:** Arriving in Rome and visit Rome for 2 days.\n**Day 2:** Fly from Rome to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Munich.\n**Day 10-14:** Visit Munich for 5 days.\n**Day 14:** Fly from Munich to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.\n**Day 16:** Fly from Lyon to Madrid.\n**Day 16-19:** Visit Madrid for 4 days.\n**Day 19:** Fly from Madrid to Lisbon.\n**Day 19-23:** Visit Lisbon for 5 days.\n**Day 23:** Fly from Lisbon to Krakow.\n**Day 23-25:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_1015",
    "estimated_output_tokens": 5855,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 6.\n* City: Madrid, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Lisbon, Krakow, Lyon, Rome, Vilnius] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 6).\n |- The departure day of Munich is Day 5. The arrival day of Riga is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 6).\n |- The departure day of Lisbon is Day 5. The arrival day of Riga is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 6).\n |- The departure day of Krakow is Day 3. The arrival day of Riga is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 6).\n |- The departure day of Lyon is Day 3. The arrival day of Riga is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 6).\n |- The departure day of Rome is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 16 - 19).\n   |- The departure day of Riga is Day 6. The arrival day of Madrid is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Lisbon, Krakow, Lyon, Vilnius] and explore these options in order.\n     |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 16 - 19).\n     |- The departure day of Munich is Day 10. The arrival day of Madrid is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Riga, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow, Lyon, Vilnius] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 16 - 19).\n       |- The departure day of Lisbon is Day 14. The arrival day of Madrid is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Riga, Munich, Lisbon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Lyon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Lisbon to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Madrid (Day 16 - 19).\n         |- The departure day of Krakow is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Munich, Lisbon, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Krakow to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Lisbon to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lisbon to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 16 - 19).\n       |- The departure day of Krakow is Day 12. The arrival day of Madrid is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Riga, Munich, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Lyon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Krakow to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Madrid (Day 16 - 19).\n         |- The departure day of Vilnius is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Munich, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Vilnius to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 16 - 19).\n       |- The departure day of Lyon is Day 12. The arrival day of Madrid is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Riga, Munich, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow, Vilnius] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Madrid (Day 16 - 19).\n         |- The departure day of Lisbon is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Munich, Lyon, Lisbon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Lisbon to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Lyon to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 16 - 19).\n     |- The departure day of Lisbon is Day 10. The arrival day of Madrid is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Riga, Lisbon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Krakow, Lyon, Vilnius] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lisbon to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Lisbon to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 16 - 19).\n       |- The departure day of Krakow is Day 12. The arrival day of Madrid is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Riga, Lisbon, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Lyon, Vilnius] and explore these options in order.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Krakow to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Madrid (Day 16 - 19).\n         |- The departure day of Vilnius is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Lisbon, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Vilnius to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Lisbon to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lisbon to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Riga to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Riga to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 16 - 19).\n     |- The departure day of Vilnius is Day 10. The arrival day of Madrid is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Riga, Vilnius].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Lisbon, Krakow, Lyon] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 16 - 19).\n       |- The departure day of Munich is Day 14. The arrival day of Madrid is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Riga, Vilnius, Munich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow, Lyon] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Munich to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Madrid (Day 16 - 19).\n         |- The departure day of Lisbon is Day 18. The arrival day of Madrid is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Madrid (Day 16 - 19).\n         |- The departure day of Krakow is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Vilnius, Munich, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Krakow to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Madrid (Day 16 - 19).\n         |- The departure day of Lyon is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Riga, Vilnius, Munich, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Lyon to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Rome, Riga, Vilnius, Munich, Lyon, Madrid].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Madrid to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Rome, Riga, Vilnius, Munich, Lyon, Madrid, Lisbon].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Lisbon to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Rome, Riga, Vilnius, Munich, Lyon, Madrid, Lisbon, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Rome and visit Rome for 2 days.\n**Day 2:** Fly from Rome to Riga.\n**Day 2-6:** Visit Riga for 5 days.\n**Day 6:** Fly from Riga to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Munich.\n**Day 10-14:** Visit Munich for 5 days.\n**Day 14:** Fly from Munich to Lyon.\n**Day 14-16:** Visit Lyon for 3 days.\n**Day 16:** Fly from Lyon to Madrid.\n**Day 16-19:** Visit Madrid for 4 days.\n**Day 19:** Fly from Madrid to Lisbon.\n**Day 19-23:** Visit Lisbon for 5 days.\n**Day 23:** Fly from Lisbon to Krakow.\n**Day 23-25:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Geneva**Istanbul**Helsinki**Warsaw**Stuttgart**Valencia**Bucharest",
    "ground_truth_durations": "5**4**5**2**5**2**2**4",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Mykonos",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 17 and day 18. You would like to visit Bucharest for 4 days. You plan to stay in Mykonos for 5 days. You plan to visit relatives in Mykonos between day 1 and day 5. You plan to stay in Valencia for 2 days. You plan to stay in Helsinki for 2 days. During day 12 and day 13, you have to attend a conference in Helsinki. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 8 and day 12 to tour together. You would like to visit Geneva for 4 days. You would like to visit Warsaw for 5 days.\n\nHere are the cities that have direct flights:\nValencia and Bucharest, Geneva and Helsinki, Istanbul and Helsinki, Warsaw and Stuttgart, Geneva and Valencia, Helsinki and Warsaw, Warsaw and Bucharest, Istanbul and Stuttgart, Stuttgart and Valencia, Istanbul and Valencia, Istanbul and Warsaw, Geneva and Warsaw, Istanbul and Bucharest, Warsaw and Valencia, Geneva and Istanbul, Mykonos and Geneva.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 17 and day 18. You would like to visit Bucharest for 4 days. You plan to stay in Mykonos for 5 days. You plan to visit relatives in Mykonos between day 1 and day 5. You plan to stay in Valencia for 2 days. You plan to stay in Helsinki for 2 days. During day 12 and day 13, you have to attend a conference in Helsinki. You want to spend 5 days in Istanbul. You would like to meet your friends at Istanbul between day 8 and day 12 to tour together. You would like to visit Geneva for 4 days. You would like to visit Warsaw for 5 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Bucharest, from Geneva to Helsinki, from Istanbul to Helsinki, from Warsaw to Stuttgart, from Geneva to Valencia, from Helsinki to Warsaw, from Warsaw to Bucharest, from Istanbul to Stuttgart, from Stuttgart to Valencia, from Istanbul to Valencia, from Istanbul to Warsaw, from Geneva to Warsaw, from Istanbul to Bucharest, from Warsaw to Valencia, from Geneva to Istanbul, from Mykonos to Geneva.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.\n**Day 17:** Fly from Warsaw to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.\n**Day 18:** Fly from Stuttgart to Valencia.\n**Day 18-19:** Visit Valencia for 2 days.\n**Day 19:** Fly from Valencia to Bucharest.\n**Day 19-22:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_1016",
    "estimated_output_tokens": 2201,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Bucharest, Duration: 4 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 2 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Geneva, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 8 - 12.\n* City: Helsinki, Fixed Schedule: Day 12 - 13.\n* City: Stuttgart, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 8 - 12).\n |- The departure day of Mykonos is Day 5. The arrival day of Istanbul is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Valencia, Geneva, Warsaw] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 8 - 12).\n   |- The departure day of Geneva is Day 8. The arrival day of Istanbul is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Mykonos, Geneva].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Geneva to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 12 - 13).\n     |- The departure day of Istanbul is Day 12. The arrival day of Helsinki is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Mykonos, Geneva, Istanbul].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Istanbul to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 17 - 18).\n       |- The departure day of Helsinki is Day 13. The arrival day of Stuttgart is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Geneva, Istanbul, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Valencia, Warsaw] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Helsinki to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Helsinki to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 17 - 18).\n         |- The departure day of Warsaw is Day 17. The arrival day of Stuttgart is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Geneva, Istanbul, Helsinki, Warsaw].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Warsaw to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Mykonos, Geneva, Istanbul, Helsinki, Warsaw, Stuttgart].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Valencia] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Stuttgart to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Mykonos, Geneva, Istanbul, Helsinki, Warsaw, Stuttgart, Valencia].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Valencia to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Mykonos, Geneva, Istanbul, Helsinki, Warsaw, Stuttgart, Valencia, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Geneva.\n**Day 5-8:** Visit Geneva for 4 days.\n**Day 8:** Fly from Geneva to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Warsaw.\n**Day 13-17:** Visit Warsaw for 5 days.\n**Day 17:** Fly from Warsaw to Stuttgart.\n**Day 17-18:** Visit Stuttgart for 2 days.\n**Day 18:** Fly from Stuttgart to Valencia.\n**Day 18-19:** Visit Valencia for 2 days.\n**Day 19:** Fly from Valencia to Bucharest.\n**Day 19-22:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Venice**Naples**Vienna**Florence**Madrid**Budapest**Warsaw",
    "ground_truth_durations": "2**5**4**2**3**4**2**3",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Naples",
        "Madrid"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Munich",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 4 days. You have to attend a workshop in Madrid between day 12 and day 15. You want to spend 2 days in Munich. From day 1 to day 2, there is a annual show you want to attend in Munich. You want to spend 2 days in Budapest. You would like to visit Vienna for 2 days. You would like to visit Venice for 5 days. You plan to visit relatives in Venice between day 2 and day 6. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 16 and day 18. You want to spend 3 days in Florence. You want to spend 4 days in Naples.\n\nHere are the cities that have direct flights:\nNaples and Warsaw, Madrid and Warsaw, Venice and Naples, Vienna and Warsaw, Naples and Vienna, Munich and Naples, Florence and Madrid, Madrid and Budapest, Vienna and Madrid, Naples and Budapest, Munich and Vienna, Venice and Warsaw, Venice and Madrid, Vienna and Florence, Munich and Budapest, Munich and Madrid, Naples and Madrid, Munich and Venice, Vienna and Budapest, Venice and Vienna, from Florence to Munich, Budapest and Warsaw, Munich and Warsaw.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 4 days. You have to attend a workshop in Madrid between day 12 and day 15. You want to spend 2 days in Munich. From day 1 to day 2, there is a annual show you want to attend in Munich. You want to spend 2 days in Budapest. You would like to visit Vienna for 2 days. You would like to visit Venice for 5 days. You plan to visit relatives in Venice between day 2 and day 6. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 16 and day 18. You want to spend 3 days in Florence. You want to spend 4 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Naples to Warsaw, from Madrid to Warsaw, from Venice to Naples, from Vienna to Warsaw, from Naples to Vienna, from Munich to Naples, from Florence to Madrid, from Madrid to Budapest, from Vienna to Madrid, from Naples to Budapest, from Munich to Vienna, from Venice to Warsaw, from Venice to Madrid, from Vienna to Florence, from Munich to Budapest, from Munich to Madrid, from Naples to Madrid, from Munich to Venice, from Vienna to Budapest, from Venice to Vienna, from Florence to Munich, from Budapest to Warsaw, from Munich to Warsaw.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Venice.\n**Day 2-6:** Visit Venice for 5 days.\n**Day 6:** Fly from Venice to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Florence.\n**Day 10-12:** Visit Florence for 3 days.\n**Day 12:** Fly from Florence to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1017",
    "estimated_output_tokens": 3533,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Budapest, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Florence, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 2 - 6.\n* City: Madrid, Fixed Schedule: Day 12 - 15.\n* City: Warsaw, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Budapest, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n* City: Florence, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 6).\n |- The departure day of Munich is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 12 - 15).\n   |- The departure day of Venice is Day 6. The arrival day of Madrid is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Vienna, Florence, Naples] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 12 - 15).\n     |- The departure day of Vienna is Day 7. The arrival day of Madrid is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Venice, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Florence, Naples] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 12 - 15).\n       |- The departure day of Budapest is Day 8. The arrival day of Madrid is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Munich, Venice, Vienna, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Naples] and explore these options in order.\n         |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Budapest to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Budapest to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vienna to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 12 - 15).\n       |- The departure day of Florence is Day 9. The arrival day of Madrid is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Munich, Venice, Vienna, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Naples] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Florence to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Florence to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vienna to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 12 - 15).\n     |- The departure day of Naples is Day 9. The arrival day of Madrid is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Vienna, Florence] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Naples to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 12 - 15).\n       |- The departure day of Budapest is Day 10. The arrival day of Madrid is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Venice, Naples, Budapest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Florence] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Budapest to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Budapest to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Naples to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 12 - 15).\n       |- The departure day of Vienna is Day 10. The arrival day of Madrid is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Venice, Naples, Vienna].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Florence] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vienna to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 15).\n         |- The departure day of Budapest is Day 11. The arrival day of Madrid is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Munich, Venice, Naples, Vienna, Budapest].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Budapest to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Vienna to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 15).\n         |- The departure day of Florence is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Venice, Naples, Vienna, Florence].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Florence to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 16 - 18).\n           |- The departure day of Madrid is Day 15. The arrival day of Warsaw is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Venice, Naples, Vienna, Florence, Madrid].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Madrid to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 16 - 18).\n             |- The departure day of Budapest is Day 16. The arrival day of Warsaw is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Munich, Venice, Naples, Vienna, Florence, Madrid, Budapest].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Budapest to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Munich, Venice, Naples, Vienna, Florence, Madrid, Budapest, Warsaw].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Venice.\n**Day 2-6:** Visit Venice for 5 days.\n**Day 6:** Fly from Venice to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Florence.\n**Day 10-12:** Visit Florence for 3 days.\n**Day 12:** Fly from Florence to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Milan**Santorini**Zurich**Vilnius**Split**Stuttgart**Porto",
    "ground_truth_durations": "2**2**5**3**2**5**5**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You want to spend 5 days in Santorini. During day 3 and day 7, you have to attend a conference in Santorini. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 10 and day 14. You would like to visit Reykjavik for 2 days. You would like to visit Porto for 2 days. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 7 and day 9. You would like to visit Milan for 2 days. You want to spend 2 days in Vilnius.\n\nHere are the cities that have direct flights:\nZurich and Vilnius, Milan and Split, Reykjavik and Zurich, Milan and Porto, Zurich and Split, Stuttgart and Porto, Vilnius and Split, Milan and Vilnius, Milan and Stuttgart, Split and Stuttgart, Milan and Santorini, Milan and Zurich, Santorini and Zurich, Zurich and Porto, from Reykjavik to Stuttgart, Reykjavik and Milan.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You want to spend 5 days in Santorini. During day 3 and day 7, you have to attend a conference in Santorini. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 10 and day 14. You would like to visit Reykjavik for 2 days. You would like to visit Porto for 2 days. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 7 and day 9. You would like to visit Milan for 2 days. You want to spend 2 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Zurich to Vilnius, from Milan to Split, from Reykjavik to Zurich, from Milan to Porto, from Zurich to Split, from Stuttgart to Porto, from Vilnius to Split, from Milan to Vilnius, from Milan to Stuttgart, from Split to Stuttgart, from Milan to Santorini, from Milan to Zurich, from Santorini to Zurich, from Zurich to Porto, from Reykjavik to Stuttgart, from Reykjavik to Milan.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Milan.\n**Day 2-3:** Visit Milan for 2 days.\n**Day 3:** Fly from Milan to Santorini.\n**Day 3-7:** Visit Santorini for 5 days.\n**Day 7:** Fly from Santorini to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Split.\n**Day 10-14:** Visit Split for 5 days.\n**Day 14:** Fly from Split to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.\n**Day 18:** Fly from Stuttgart to Porto.\n**Day 18-19:** Visit Porto for 2 days.",
    "id": "trip_planning_example_1018",
    "estimated_output_tokens": 2623,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Reykjavik, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Milan, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 3 - 7.\n* City: Zurich, Fixed Schedule: Day 7 - 9.\n* City: Split, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Milan, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Reykjavik, Porto, Milan, Vilnius] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 3 - 7).\n |- The departure day of Stuttgart is Day 5. The arrival day of Santorini is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 3 - 7).\n |- The departure day of Reykjavik is Day 2. The arrival day of Santorini is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Porto, Milan, Vilnius] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 3 - 7).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Santorini is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 3 - 7).\n   |- The departure day of Milan is Day 3. The arrival day of Santorini is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Reykjavik, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 7 - 9).\n     |- The departure day of Santorini is Day 7. The arrival day of Zurich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Reykjavik, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Santorini to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 10 - 14).\n       |- The departure day of Zurich is Day 9. The arrival day of Split is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Milan, Santorini, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Porto, Vilnius] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 10 - 14).\n         |- The departure day of Porto is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Milan, Santorini, Zurich, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n           |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Porto to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 10 - 14).\n         |- The departure day of Vilnius is Day 10. The arrival day of Split is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Milan, Santorini, Zurich, Vilnius].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Split.\n           |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Vilnius to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Reykjavik, Milan, Santorini, Zurich, Vilnius, Split].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Porto] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Split to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Reykjavik, Milan, Santorini, Zurich, Vilnius, Split, Stuttgart].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Stuttgart to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Reykjavik, Milan, Santorini, Zurich, Vilnius, Split, Stuttgart, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Milan.\n**Day 2-3:** Visit Milan for 2 days.\n**Day 3:** Fly from Milan to Santorini.\n**Day 3-7:** Visit Santorini for 5 days.\n**Day 7:** Fly from Santorini to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Split.\n**Day 10-14:** Visit Split for 5 days.\n**Day 14:** Fly from Split to Stuttgart.\n**Day 14-18:** Visit Stuttgart for 5 days.\n**Day 18:** Fly from Stuttgart to Porto.\n**Day 18-19:** Visit Porto for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Prague**Tallinn**Vilnius**Split**Rome**Hamburg**Geneva",
    "ground_truth_durations": "4**3**2**2**2**3**5**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Rome"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You want to spend 2 days in Vilnius. You want to spend 2 days in Geneva. You want to spend 2 days in Split. You plan to stay in Florence for 4 days. You want to spend 5 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 15. You would like to visit Tallinn for 2 days. You want to spend 3 days in Prague. You plan to visit relatives in Prague between day 4 and day 6.\n\nHere are the cities that have direct flights:\nSplit and Rome, from Tallinn to Vilnius, Split and Geneva, Prague and Rome, from Hamburg to Geneva, Florence and Prague, Rome and Geneva, Vilnius and Split, Prague and Tallinn, Prague and Geneva, Prague and Split, Split and Hamburg, Rome and Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You want to spend 2 days in Vilnius. You want to spend 2 days in Geneva. You want to spend 2 days in Split. You plan to stay in Florence for 4 days. You want to spend 5 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 15. You would like to visit Tallinn for 2 days. You want to spend 3 days in Prague. You plan to visit relatives in Prague between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Split to Rome, from Tallinn to Vilnius, from Split to Geneva, from Prague to Rome, from Hamburg to Geneva, from Florence to Prague, from Rome to Geneva, from Vilnius to Split, from Prague to Tallinn, from Prague to Geneva, from Prague to Split, from Split to Hamburg, from Rome to Hamburg.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Vilnius.\n**Day 7-8:** Visit Vilnius for 2 days.\n**Day 8:** Fly from Vilnius to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Rome.\n**Day 9-11:** Visit Rome for 3 days.\n**Day 11:** Fly from Rome to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_1019",
    "estimated_output_tokens": 7823,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Tallinn, Duration: 2 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 4 - 6.\n* City: Hamburg, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Vilnius, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Vilnius, Geneva, Split, Florence, Tallinn] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Rome is Day 3. The arrival day of Prague is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Split, Florence, Tallinn] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 4 - 6).\n   |- The departure day of Geneva is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Rome, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Rome to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Vilnius is Day 2. The arrival day of Prague is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Geneva, Split, Florence, Tallinn] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 4 - 6).\n   |- The departure day of Split is Day 3. The arrival day of Prague is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Geneva, Florence, Tallinn] and explore these options in order.\n     |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Split to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 4 - 6).\n     |- The departure day of Rome is Day 5. The arrival day of Prague is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Split to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 4 - 6).\n     |- The departure day of Geneva is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Vilnius, Split, Geneva].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Geneva to Prague.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Split to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Split to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Geneva is Day 2. The arrival day of Prague is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Split, Florence, Tallinn] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Split is Day 2. The arrival day of Prague is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Geneva, Florence, Tallinn] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 4 - 6).\n   |- The departure day of Rome is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 4 - 6).\n   |- The departure day of Geneva is Day 3. The arrival day of Prague is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Florence, Tallinn] and explore these options in order.\n     |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Geneva to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Geneva to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Florence is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 11 - 15).\n   |- The departure day of Prague is Day 6. The arrival day of Hamburg is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Geneva, Split, Tallinn] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Rome is Day 8. The arrival day of Hamburg is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Prague, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Split, Tallinn] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Rome to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Rome to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 11 - 15).\n       |- The departure day of Geneva is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Prague, Rome, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Split, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Geneva to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Geneva to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Rome to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Rome to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Geneva is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Prague, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Split, Tallinn] and explore these options in order.\n       |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Split is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Prague, Split].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Geneva, Tallinn] and explore these options in order.\n       |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Split to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 15).\n       |- The departure day of Rome is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Prague, Split, Rome].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Rome to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Rome to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 15).\n         |- The departure day of Geneva is Day 10. The arrival day of Hamburg is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Florence, Prague, Split, Rome, Geneva].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Geneva to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Geneva to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Rome to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Split to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Split to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 15).\n       |- The departure day of Geneva is Day 8. The arrival day of Hamburg is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Florence, Prague, Split, Geneva].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Geneva to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Geneva to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Split to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Tallinn is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Geneva, Split] and explore these options in order.\n       |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 15).\n       |- The departure day of Vilnius is Day 8. The arrival day of Hamburg is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Florence, Prague, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Geneva, Split] and explore these options in order.\n         |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Vilnius to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 11 - 15).\n         |- The departure day of Split is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Florence, Prague, Tallinn, Vilnius, Split].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Geneva] and explore these options in order.\n           |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Split to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 15).\n           |- The departure day of Rome is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Florence, Prague, Tallinn, Vilnius, Split, Rome].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n             |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Rome to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Florence, Prague, Tallinn, Vilnius, Split, Rome, Hamburg].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Hamburg to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Florence, Prague, Tallinn, Vilnius, Split, Rome, Hamburg, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Vilnius.\n**Day 7-8:** Visit Vilnius for 2 days.\n**Day 8:** Fly from Vilnius to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Rome.\n**Day 9-11:** Visit Rome for 3 days.\n**Day 11:** Fly from Rome to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Bucharest**Barcelona**Athens**Mykonos**Amsterdam**Helsinki**Naples",
    "ground_truth_durations": "2**4**5**3**4**3**5**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Naples"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Athens",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Naples. You are going to attend a wedding in Naples between day 20 and day 21. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 2 and day 5 to tour together. You want to spend 2 days in Santorini. You want to spend 4 days in Mykonos. You want to spend 3 days in Amsterdam. You have to attend a workshop in Amsterdam between day 14 and day 16. You want to spend 3 days in Athens. You would like to visit Helsinki for 5 days. You plan to stay in Barcelona for 5 days. You plan to visit relatives in Barcelona between day 5 and day 9.\n\nHere are the cities that have direct flights:\nSantorini and Naples, Amsterdam and Naples, Amsterdam and Helsinki, Bucharest and Barcelona, Helsinki and Naples, Bucharest and Amsterdam, Bucharest and Athens, Barcelona and Helsinki, Bucharest and Naples, Mykonos and Naples, Athens and Mykonos, Athens and Naples, Santorini and Bucharest, Mykonos and Amsterdam, Barcelona and Amsterdam, Barcelona and Athens, Barcelona and Naples, Santorini and Barcelona, Santorini and Amsterdam, Santorini and Athens, Athens and Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Naples. You are going to attend a wedding in Naples between day 20 and day 21. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 2 and day 5 to tour together. You want to spend 2 days in Santorini. You want to spend 4 days in Mykonos. You want to spend 3 days in Amsterdam. You have to attend a workshop in Amsterdam between day 14 and day 16. You want to spend 3 days in Athens. You would like to visit Helsinki for 5 days. You plan to stay in Barcelona for 5 days. You plan to visit relatives in Barcelona between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Santorini to Naples, from Amsterdam to Naples, from Amsterdam to Helsinki, from Bucharest to Barcelona, from Helsinki to Naples, from Bucharest to Amsterdam, from Bucharest to Athens, from Barcelona to Helsinki, from Bucharest to Naples, from Mykonos to Naples, from Athens to Mykonos, from Athens to Naples, from Santorini to Bucharest, from Mykonos to Amsterdam, from Barcelona to Amsterdam, from Barcelona to Athens, from Barcelona to Naples, from Santorini to Barcelona, from Santorini to Amsterdam, from Santorini to Athens, from Athens to Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Bucharest.\n**Day 2-5:** Visit Bucharest for 4 days.\n**Day 5:** Fly from Bucharest to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.\n**Day 14:** Fly from Mykonos to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Helsinki.\n**Day 16-20:** Visit Helsinki for 5 days.\n**Day 20:** Fly from Helsinki to Naples.\n**Day 20-21:** Visit Naples for 2 days.",
    "id": "trip_planning_example_1020",
    "estimated_output_tokens": 2120,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Santorini, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Athens, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 2 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 9.\n* City: Amsterdam, Fixed Schedule: Day 14 - 16.\n* City: Naples, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Mykonos, Athens, Helsinki] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 2 - 5).\n |- The departure day of Santorini is Day 2. The arrival day of Bucharest is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 5 - 9).\n   |- The departure day of Bucharest is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Bucharest to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 14 - 16).\n     |- The departure day of Barcelona is Day 9. The arrival day of Amsterdam is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, Bucharest, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Helsinki] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Barcelona to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Barcelona to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 14 - 16).\n       |- The departure day of Athens is Day 11. The arrival day of Amsterdam is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Bucharest, Barcelona, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Helsinki] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 14 - 16).\n         |- The departure day of Mykonos is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Bucharest, Barcelona, Athens, Mykonos].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Mykonos to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Naples (Day 20 - 21).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Naples is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Bucharest, Barcelona, Athens, Mykonos, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Amsterdam to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 20 - 21).\n             |- The departure day of Helsinki is Day 20. The arrival day of Naples is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Santorini, Bucharest, Barcelona, Athens, Mykonos, Amsterdam, Helsinki].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Naples.\n               |- Try arranging to visit Naples from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Helsinki to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Santorini, Bucharest, Barcelona, Athens, Mykonos, Amsterdam, Helsinki, Naples].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Bucharest.\n**Day 2-5:** Visit Bucharest for 4 days.\n**Day 5:** Fly from Bucharest to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Mykonos.\n**Day 11-14:** Visit Mykonos for 4 days.\n**Day 14:** Fly from Mykonos to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Helsinki.\n**Day 16-20:** Visit Helsinki for 5 days.\n**Day 20:** Fly from Helsinki to Naples.\n**Day 20-21:** Visit Naples for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Istanbul**Venice**Dublin**Valencia**Zurich**Florence",
    "ground_truth_durations": "2**4**3**5**3**5**4**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Valencia for 5 days. You plan to visit relatives in Valencia between day 13 and day 17. You plan to stay in Istanbul for 3 days. You want to spend 2 days in Tallinn. You have to attend a workshop in Tallinn between day 1 and day 2. You want to spend 3 days in Dublin. You would like to visit Zurich for 4 days. You plan to stay in Florence for 2 days. From day 20 to day 21, there is a annual show you want to attend in Florence. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Venice, Dublin and Zurich, Tallinn and Dublin, Vilnius and Zurich, Istanbul and Valencia, from Istanbul to Tallinn, Vilnius and Istanbul, Venice and Dublin, Dublin and Valencia, Tallinn and Zurich, Venice and Zurich, Istanbul and Dublin, Valencia and Zurich, from Tallinn to Vilnius, Istanbul and Zurich, from Zurich to Florence.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Valencia for 5 days. You plan to visit relatives in Valencia between day 13 and day 17. You plan to stay in Istanbul for 3 days. You want to spend 2 days in Tallinn. You have to attend a workshop in Tallinn between day 1 and day 2. You want to spend 3 days in Dublin. You would like to visit Zurich for 4 days. You plan to stay in Florence for 2 days. From day 20 to day 21, there is a annual show you want to attend in Florence. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Venice, from Dublin to Zurich, from Tallinn to Dublin, from Vilnius to Zurich, from Istanbul to Valencia, from Istanbul to Tallinn, from Vilnius to Istanbul, from Venice to Dublin, from Dublin to Valencia, from Tallinn to Zurich, from Venice to Zurich, from Istanbul to Dublin, from Valencia to Zurich, from Tallinn to Vilnius, from Istanbul to Zurich, from Zurich to Florence.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.\n**Day 17:** Fly from Valencia to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Florence.\n**Day 20-21:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1021",
    "estimated_output_tokens": 2874,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Fixed Schedule: Day 13 - 17.\n* City: Florence, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 13 - 17).\n |- The departure day of Tallinn is Day 2. The arrival day of Valencia is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Istanbul, Dublin, Zurich, Venice] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 13 - 17).\n   |- The departure day of Vilnius is Day 5. The arrival day of Valencia is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dublin, Zurich, Venice] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vilnius to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 13 - 17).\n     |- The departure day of Istanbul is Day 7. The arrival day of Valencia is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Vilnius, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Zurich, Venice] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Istanbul to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 17).\n       |- The departure day of Dublin is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Vilnius, Istanbul, Dublin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Venice] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Dublin to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 17).\n         |- The departure day of Zurich is Day 12. The arrival day of Valencia is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Tallinn, Vilnius, Istanbul, Dublin, Zurich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Zurich to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Dublin to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Istanbul to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 17).\n       |- The departure day of Zurich is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Vilnius, Istanbul, Zurich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Venice] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Zurich to Dublin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Zurich to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Istanbul to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 17).\n       |- The departure day of Venice is Day 11. The arrival day of Valencia is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Tallinn, Vilnius, Istanbul, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Zurich] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Venice to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 13 - 17).\n         |- The departure day of Dublin is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Vilnius, Istanbul, Venice, Dublin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Dublin to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 20 - 21).\n           |- The departure day of Valencia is Day 17. The arrival day of Florence is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Tallinn, Vilnius, Istanbul, Venice, Dublin, Valencia].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Valencia to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 20 - 21).\n             |- The departure day of Zurich is Day 20. The arrival day of Florence is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Tallinn, Vilnius, Istanbul, Venice, Dublin, Valencia, Zurich].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Zurich to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Tallinn, Vilnius, Istanbul, Venice, Dublin, Valencia, Zurich, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Istanbul.\n**Day 5-7:** Visit Istanbul for 3 days.\n**Day 7:** Fly from Istanbul to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Valencia.\n**Day 13-17:** Visit Valencia for 5 days.\n**Day 17:** Fly from Valencia to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Florence.\n**Day 20-21:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Stockholm**Hamburg**Split**Rome**Valencia**Brussels**Reykjavik",
    "ground_truth_durations": "5**5**5**4**2**5**5**2",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Split",
        "Rome"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. From day 13 to day 16, there is a annual show you want to attend in Split. You plan to stay in London for 5 days. You are going to attend a wedding in London between day 1 and day 5. You want to spend 5 days in Brussels. You want to spend 5 days in Stockholm. You plan to stay in Reykjavik for 2 days. You would like to visit Rome for 2 days. You plan to stay in Valencia for 5 days. You want to meet a friend in Valencia between day 17 and day 21. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 9 and day 13.\n\nHere are the cities that have direct flights:\nHamburg and Rome, Split and Rome, London and Rome, Stockholm and Brussels, Valencia and Brussels, Rome and Brussels, London and Hamburg, Stockholm and Hamburg, Brussels and Reykjavik, London and Split, Rome and Valencia, Hamburg and Split, London and Stockholm, London and Valencia, Stockholm and Rome, London and Brussels, London and Reykjavik, Stockholm and Split, Stockholm and Reykjavik, Rome and Reykjavik, Hamburg and Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. From day 13 to day 16, there is a annual show you want to attend in Split. You plan to stay in London for 5 days. You are going to attend a wedding in London between day 1 and day 5. You want to spend 5 days in Brussels. You want to spend 5 days in Stockholm. You plan to stay in Reykjavik for 2 days. You would like to visit Rome for 2 days. You plan to stay in Valencia for 5 days. You want to meet a friend in Valencia between day 17 and day 21. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 9 and day 13.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Rome, from Split to Rome, from London to Rome, from Stockholm to Brussels, from Valencia to Brussels, from Rome to Brussels, from London to Hamburg, from Stockholm to Hamburg, from Brussels to Reykjavik, from London to Split, from Rome to Valencia, from Hamburg to Split, from London to Stockholm, from London to Valencia, from Stockholm to Rome, from London to Brussels, from London to Reykjavik, from Stockholm to Split, from Stockholm to Reykjavik, from Rome to Reykjavik, from Hamburg to Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Stockholm.\n**Day 5-9:** Visit Stockholm for 5 days.\n**Day 9:** Fly from Stockholm to Hamburg.\n**Day 9-13:** Visit Hamburg for 5 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-16:** Visit Split for 4 days.\n**Day 16:** Fly from Split to Rome.\n**Day 16-17:** Visit Rome for 2 days.\n**Day 17:** Fly from Rome to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Brussels.\n**Day 21-25:** Visit Brussels for 5 days.\n**Day 25:** Fly from Brussels to Reykjavik.\n**Day 25-26:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1022",
    "estimated_output_tokens": 2292,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: London, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Brussels, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Fixed Schedule: Day 9 - 13.\n* City: Split, Fixed Schedule: Day 13 - 16.\n* City: Valencia, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Brussels, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 9 - 13).\n |- The departure day of London is Day 5. The arrival day of Hamburg is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Stockholm, Reykjavik, Rome] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 9 - 13).\n   |- The departure day of Brussels is Day 9. The arrival day of Hamburg is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [London, Brussels].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Brussels to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 9 - 13).\n   |- The departure day of Stockholm is Day 9. The arrival day of Hamburg is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [London, Stockholm].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Stockholm to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 16).\n     |- The departure day of Hamburg is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [London, Stockholm, Hamburg].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n       |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Hamburg to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 17 - 21).\n       |- The departure day of Split is Day 16. The arrival day of Valencia is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [London, Stockholm, Hamburg, Split].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Reykjavik, Rome] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Split to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Split to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Split to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Valencia (Day 17 - 21).\n         |- The departure day of Rome is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [London, Stockholm, Hamburg, Split, Rome].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Rome to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [London, Stockholm, Hamburg, Split, Rome, Valencia].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Valencia to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [London, Stockholm, Hamburg, Split, Rome, Valencia, Brussels].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Brussels to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [London, Stockholm, Hamburg, Split, Rome, Valencia, Brussels, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Stockholm.\n**Day 5-9:** Visit Stockholm for 5 days.\n**Day 9:** Fly from Stockholm to Hamburg.\n**Day 9-13:** Visit Hamburg for 5 days.\n**Day 13:** Fly from Hamburg to Split.\n**Day 13-16:** Visit Split for 4 days.\n**Day 16:** Fly from Split to Rome.\n**Day 16-17:** Visit Rome for 2 days.\n**Day 17:** Fly from Rome to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Brussels.\n**Day 21-25:** Visit Brussels for 5 days.\n**Day 25:** Fly from Brussels to Reykjavik.\n**Day 25-26:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Copenhagen**Zurich**Santorini**Manchester**Brussels**Hamburg**Split",
    "ground_truth_durations": "4**3**5**3**5**3**3**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You want to spend 3 days in Hamburg. You would like to visit Split for 5 days. During day 20 and day 24, you have to attend a conference in Split. You would like to visit Bucharest for 4 days. You want to meet a friend in Bucharest between day 1 and day 4. You plan to stay in Manchester for 5 days. You would like to visit Brussels for 3 days. You want to spend 5 days in Zurich. You have to attend a workshop in Zurich between day 6 and day 10. You plan to stay in Copenhagen for 3 days. From day 4 to day 6, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nZurich and Manchester, Zurich and Hamburg, Zurich and Brussels, Santorini and Manchester, Copenhagen and Manchester, Bucharest and Hamburg, Bucharest and Manchester, Bucharest and Copenhagen, Bucharest and Brussels, Manchester and Hamburg, Zurich and Santorini, Manchester and Brussels, Hamburg and Split, Brussels and Hamburg, from Manchester to Split, Copenhagen and Brussels, Zurich and Split, Copenhagen and Hamburg, Copenhagen and Split, Bucharest and Santorini, Bucharest and Zurich, Copenhagen and Zurich, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 3 days. You want to spend 3 days in Hamburg. You would like to visit Split for 5 days. During day 20 and day 24, you have to attend a conference in Split. You would like to visit Bucharest for 4 days. You want to meet a friend in Bucharest between day 1 and day 4. You plan to stay in Manchester for 5 days. You would like to visit Brussels for 3 days. You want to spend 5 days in Zurich. You have to attend a workshop in Zurich between day 6 and day 10. You plan to stay in Copenhagen for 3 days. From day 4 to day 6, there is a annual show you want to attend in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Zurich to Manchester, from Zurich to Hamburg, from Zurich to Brussels, from Santorini to Manchester, from Copenhagen to Manchester, from Bucharest to Hamburg, from Bucharest to Manchester, from Bucharest to Copenhagen, from Bucharest to Brussels, from Manchester to Hamburg, from Zurich to Santorini, from Manchester to Brussels, from Hamburg to Split, from Brussels to Hamburg, from Manchester to Split, from Copenhagen to Brussels, from Zurich to Split, from Copenhagen to Hamburg, from Copenhagen to Split, from Bucharest to Santorini, from Bucharest to Zurich, from Copenhagen to Zurich, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Copenhagen.\n**Day 4-6:** Visit Copenhagen for 3 days.\n**Day 6:** Fly from Copenhagen to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Manchester.\n**Day 12-16:** Visit Manchester for 5 days.\n**Day 16:** Fly from Manchester to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Hamburg.\n**Day 18-20:** Visit Hamburg for 3 days.\n**Day 20:** Fly from Hamburg to Split.\n**Day 20-24:** Visit Split for 5 days.",
    "id": "trip_planning_example_1023",
    "estimated_output_tokens": 2352,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Manchester, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Fixed Schedule: Day 4 - 6.\n* City: Zurich, Fixed Schedule: Day 6 - 10.\n* City: Split, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 6).\n |- The departure day of Bucharest is Day 4. The arrival day of Copenhagen is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 6 - 10).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Zurich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 20 - 24).\n     |- The departure day of Zurich is Day 10. The arrival day of Split is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Copenhagen, Zurich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Manchester, Brussels] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 20 - 24).\n       |- The departure day of Santorini is Day 12. The arrival day of Split is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Copenhagen, Zurich, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Manchester, Brussels] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Santorini to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 20 - 24).\n         |- The departure day of Manchester is Day 16. The arrival day of Split is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Bucharest, Copenhagen, Zurich, Santorini, Manchester].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Brussels] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Manchester to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 20 - 24).\n           |- The departure day of Hamburg is Day 18. The arrival day of Split is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Copenhagen, Zurich, Santorini, Manchester, Hamburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Hamburg to Brussels.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Brussels from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Manchester to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 20 - 24).\n           |- The departure day of Brussels is Day 18. The arrival day of Split is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Copenhagen, Zurich, Santorini, Manchester, Brussels].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Brussels to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Split (Day 20 - 24).\n             |- The departure day of Hamburg is Day 20. The arrival day of Split is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Bucharest, Copenhagen, Zurich, Santorini, Manchester, Brussels, Hamburg].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Split.\n               |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Hamburg to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Bucharest, Copenhagen, Zurich, Santorini, Manchester, Brussels, Hamburg, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Copenhagen.\n**Day 4-6:** Visit Copenhagen for 3 days.\n**Day 6:** Fly from Copenhagen to Zurich.\n**Day 6-10:** Visit Zurich for 5 days.\n**Day 10:** Fly from Zurich to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Manchester.\n**Day 12-16:** Visit Manchester for 5 days.\n**Day 16:** Fly from Manchester to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Hamburg.\n**Day 18-20:** Visit Hamburg for 3 days.\n**Day 20:** Fly from Hamburg to Split.\n**Day 20-24:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Mykonos**Nice**Reykjavik**Oslo**Krakow**Lisbon**Florence",
    "ground_truth_durations": "5**4**4**2**5**5**4**5",
    "num_cities": 8,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Rome",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 2 days. You plan to stay in Nice for 4 days. You plan to stay in Florence for 5 days. You plan to stay in Mykonos for 4 days. You want to spend 5 days in Oslo. You want to spend 5 days in Krakow. During day 16 and day 20, you have to attend a conference in Krakow. You plan to stay in Lisbon for 4 days. You have to attend a workshop in Lisbon between day 20 and day 23. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nReykjavik and Oslo, Oslo and Krakow, Reykjavik and Lisbon, Nice and Lisbon, Lisbon and Florence, Rome and Lisbon, Mykonos and Nice, Rome and Mykonos, Nice and Oslo, Oslo and Lisbon, Rome and Nice, Nice and Reykjavik, Rome and Oslo, Krakow and Lisbon, Rome and Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 2 days. You plan to stay in Nice for 4 days. You plan to stay in Florence for 5 days. You plan to stay in Mykonos for 4 days. You want to spend 5 days in Oslo. You want to spend 5 days in Krakow. During day 16 and day 20, you have to attend a conference in Krakow. You plan to stay in Lisbon for 4 days. You have to attend a workshop in Lisbon between day 20 and day 23. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Oslo, from Oslo to Krakow, from Reykjavik to Lisbon, from Nice to Lisbon, from Lisbon to Florence, from Rome to Lisbon, from Mykonos to Nice, from Rome to Mykonos, from Nice to Oslo, from Oslo to Lisbon, from Rome to Nice, from Nice to Reykjavik, from Rome to Oslo, from Krakow to Lisbon, from Rome to Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 27 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Mykonos.\n**Day 5-8:** Visit Mykonos for 4 days.\n**Day 8:** Fly from Mykonos to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Oslo.\n**Day 12-16:** Visit Oslo for 5 days.\n**Day 16:** Fly from Oslo to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.\n**Day 20:** Fly from Krakow to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1024",
    "estimated_output_tokens": 4278,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Fixed Schedule: Day 16 - 20.\n* City: Lisbon, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 16 - 20).\n |- The departure day of Rome is Day 5. The arrival day of Krakow is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Florence, Mykonos, Oslo] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Rome to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 16 - 20).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Krakow is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Florence, Mykonos, Oslo] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Reykjavik to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Reykjavik to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 16 - 20).\n     |- The departure day of Oslo is Day 10. The arrival day of Krakow is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Reykjavik, Oslo].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Florence, Mykonos] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Oslo to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Oslo to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Oslo to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 16 - 20).\n   |- The departure day of Nice is Day 8. The arrival day of Krakow is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence, Mykonos, Oslo] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 16 - 20).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Krakow is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Nice, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Mykonos, Oslo] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Reykjavik to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Reykjavik to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 16 - 20).\n       |- The departure day of Oslo is Day 13. The arrival day of Krakow is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Nice, Reykjavik, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Mykonos] and explore these options in order.\n         |- Try arranging to visit Florence from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Oslo to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Oslo to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Nice to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Nice to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Nice to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 16 - 20).\n     |- The departure day of Oslo is Day 12. The arrival day of Krakow is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Rome, Nice, Oslo].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence, Mykonos] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Oslo to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Oslo to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Rome to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 16 - 20).\n   |- The departure day of Mykonos is Day 8. The arrival day of Krakow is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Mykonos].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Florence, Oslo] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Mykonos to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Mykonos to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 16 - 20).\n     |- The departure day of Nice is Day 11. The arrival day of Krakow is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Mykonos, Nice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence, Oslo] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Nice to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 16 - 20).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Krakow is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Mykonos, Nice, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Oslo] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 16 - 20).\n         |- The departure day of Oslo is Day 16. The arrival day of Krakow is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Rome, Mykonos, Nice, Reykjavik, Oslo].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Oslo to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 20 - 23).\n           |- The departure day of Krakow is Day 20. The arrival day of Lisbon is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Rome, Mykonos, Nice, Reykjavik, Oslo, Krakow].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Krakow to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Rome, Mykonos, Nice, Reykjavik, Oslo, Krakow, Lisbon].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Lisbon to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Rome, Mykonos, Nice, Reykjavik, Oslo, Krakow, Lisbon, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Mykonos.\n**Day 5-8:** Visit Mykonos for 4 days.\n**Day 8:** Fly from Mykonos to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Oslo.\n**Day 12-16:** Visit Oslo for 5 days.\n**Day 16:** Fly from Oslo to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.\n**Day 20:** Fly from Krakow to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Valencia**Brussels**Vilnius**Helsinki**Nice**Barcelona",
    "ground_truth_durations": "3**5**4**4**2**5**4**4",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Brussels",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You want to spend 3 days in Florence. You plan to stay in Helsinki for 5 days. You want to spend 4 days in Brussels. You would like to visit Barcelona for 4 days. During day 21 and day 24, you have to attend a conference in Barcelona. You plan to stay in Nice for 4 days. You have to attend a workshop in Nice between day 18 and day 21. You would like to visit Vilnius for 2 days. You would like to visit Munich for 5 days.\n\nHere are the cities that have direct flights:\nNice and Barcelona, Brussels and Vilnius, Munich and Barcelona, Florence and Brussels, from Vilnius to Munich, Helsinki and Barcelona, Helsinki and Nice, Vilnius and Helsinki, Brussels and Nice, Valencia and Barcelona, Brussels and Helsinki, from Florence to Munich, Munich and Brussels, Munich and Helsinki, Valencia and Brussels, Florence and Barcelona, Munich and Nice, Munich and Valencia, Brussels and Barcelona.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 4 days. You want to spend 3 days in Florence. You plan to stay in Helsinki for 5 days. You want to spend 4 days in Brussels. You would like to visit Barcelona for 4 days. During day 21 and day 24, you have to attend a conference in Barcelona. You plan to stay in Nice for 4 days. You have to attend a workshop in Nice between day 18 and day 21. You would like to visit Vilnius for 2 days. You would like to visit Munich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Barcelona, from Brussels to Vilnius, from Munich to Barcelona, from Florence to Brussels, from Vilnius to Munich, from Helsinki to Barcelona, from Helsinki to Nice, from Vilnius to Helsinki, from Brussels to Nice, from Valencia to Barcelona, from Brussels to Helsinki, from Florence to Munich, from Munich to Brussels, from Munich to Helsinki, from Valencia to Brussels, from Florence to Barcelona, from Munich to Nice, from Munich to Valencia, from Brussels to Barcelona.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-7:** Visit Munich for 5 days.\n**Day 7:** Fly from Munich to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.\n**Day 10:** Fly from Valencia to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Helsinki.\n**Day 14-18:** Visit Helsinki for 5 days.\n**Day 18:** Fly from Helsinki to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Barcelona.\n**Day 21-24:** Visit Barcelona for 4 days.",
    "id": "trip_planning_example_1025",
    "estimated_output_tokens": 6610,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Brussels, Duration: 4 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Vilnius, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 18 - 21.\n* City: Barcelona, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Brussels, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Florence, Helsinki, Brussels, Vilnius, Munich] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 18 - 21).\n |- The departure day of Valencia is Day 4. The arrival day of Nice is Day 18. Day 4 is not later than (<=) Day 18. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Helsinki, Brussels, Vilnius, Munich] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 18 - 21).\n   |- The departure day of Brussels is Day 7. The arrival day of Nice is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Helsinki, Vilnius, Munich] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Brussels to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 18 - 21).\n     |- The departure day of Helsinki is Day 11. The arrival day of Nice is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Valencia, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Vilnius, Munich] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Helsinki to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Brussels to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 18 - 21).\n     |- The departure day of Vilnius is Day 8. The arrival day of Nice is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Brussels, Vilnius].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Helsinki, Munich] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vilnius to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 18 - 21).\n       |- The departure day of Helsinki is Day 12. The arrival day of Nice is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Brussels, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Munich] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Helsinki to Munich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 18 - 21).\n       |- The departure day of Munich is Day 12. The arrival day of Nice is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Brussels, Vilnius, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Helsinki] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 18 - 21).\n         |- The departure day of Helsinki is Day 16. The arrival day of Nice is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Valencia, Brussels, Vilnius, Munich, Helsinki].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Helsinki to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Brussels to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Munich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 18 - 21).\n |- The departure day of Florence is Day 3. The arrival day of Nice is Day 18. Day 3 is not later than (<=) Day 18. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki, Brussels, Vilnius, Munich] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 18 - 21).\n   |- The departure day of Brussels is Day 6. The arrival day of Nice is Day 18. Day 6 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki, Vilnius, Munich] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 18 - 21).\n     |- The departure day of Helsinki is Day 10. The arrival day of Nice is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Vilnius, Munich] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Helsinki to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Helsinki to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Brussels to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 18 - 21).\n     |- The departure day of Vilnius is Day 7. The arrival day of Nice is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Brussels, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki, Munich] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 18 - 21).\n       |- The departure day of Helsinki is Day 11. The arrival day of Nice is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Brussels, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Munich] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Helsinki to Munich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 18 - 21).\n       |- The departure day of Munich is Day 11. The arrival day of Nice is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Brussels, Vilnius, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Munich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 18 - 21).\n         |- The departure day of Valencia is Day 14. The arrival day of Nice is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Brussels, Vilnius, Munich, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Helsinki.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Munich to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 18 - 21).\n         |- The departure day of Helsinki is Day 15. The arrival day of Nice is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Florence, Brussels, Vilnius, Munich, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 18 - 21).\n   |- The departure day of Munich is Day 7. The arrival day of Nice is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki, Brussels, Vilnius] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Munich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 18 - 21).\n     |- The departure day of Valencia is Day 10. The arrival day of Nice is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Munich, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Vilnius] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Valencia to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Valencia to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 18 - 21).\n       |- The departure day of Brussels is Day 13. The arrival day of Nice is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Florence, Munich, Valencia, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 18 - 21).\n         |- The departure day of Helsinki is Day 17. The arrival day of Nice is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Florence, Munich, Valencia, Brussels, Helsinki].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Helsinki to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Brussels to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 18 - 21).\n         |- The departure day of Vilnius is Day 14. The arrival day of Nice is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Munich, Valencia, Brussels, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vilnius to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 18 - 21).\n           |- The departure day of Helsinki is Day 18. The arrival day of Nice is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Florence, Munich, Valencia, Brussels, Vilnius, Helsinki].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Helsinki to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Barcelona (Day 21 - 24).\n             |- The departure day of Nice is Day 21. The arrival day of Barcelona is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Munich, Valencia, Brussels, Vilnius, Helsinki, Nice].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Barcelona.\n               |- Try arranging to visit Barcelona from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Nice to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Florence, Munich, Valencia, Brussels, Vilnius, Helsinki, Nice, Barcelona].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-7:** Visit Munich for 5 days.\n**Day 7:** Fly from Munich to Valencia.\n**Day 7-10:** Visit Valencia for 4 days.\n**Day 10:** Fly from Valencia to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Vilnius.\n**Day 13-14:** Visit Vilnius for 2 days.\n**Day 14:** Fly from Vilnius to Helsinki.\n**Day 14-18:** Visit Helsinki for 5 days.\n**Day 18:** Fly from Helsinki to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Barcelona.\n**Day 21-24:** Visit Barcelona for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Zurich**Riga**Tallinn**Amsterdam**Lyon**Valencia**Stuttgart",
    "ground_truth_durations": "4**3**4**2**3**4**4**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 12,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You would like to visit Amsterdam for 3 days. You plan to visit relatives in Amsterdam between day 10 and day 12. You would like to visit Tallinn for 2 days. You would like to visit Stuttgart for 4 days. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 4 and day 6. You want to spend 4 days in Valencia. From day 15 to day 18, there is a annual show you want to attend in Valencia. You plan to stay in Riga for 4 days. You want to spend 4 days in Lyon. You would like to meet your friends at Lyon between day 12 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nAmsterdam and Valencia, Valencia and Stuttgart, Split and Stuttgart, Split and Lyon, Riga and Amsterdam, Amsterdam and Stuttgart, from Riga to Tallinn, Lyon and Valencia, Zurich and Riga, Amsterdam and Lyon, Zurich and Amsterdam, Zurich and Tallinn, Split and Amsterdam, Zurich and Valencia, Split and Zurich, Tallinn and Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 4 days. You would like to visit Amsterdam for 3 days. You plan to visit relatives in Amsterdam between day 10 and day 12. You would like to visit Tallinn for 2 days. You would like to visit Stuttgart for 4 days. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 4 and day 6. You want to spend 4 days in Valencia. From day 15 to day 18, there is a annual show you want to attend in Valencia. You plan to stay in Riga for 4 days. You want to spend 4 days in Lyon. You would like to meet your friends at Lyon between day 12 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Valencia, from Valencia to Stuttgart, from Split to Stuttgart, from Split to Lyon, from Riga to Amsterdam, from Amsterdam to Stuttgart, from Riga to Tallinn, from Lyon to Valencia, from Zurich to Riga, from Amsterdam to Lyon, from Zurich to Amsterdam, from Zurich to Tallinn, from Split to Amsterdam, from Zurich to Valencia, from Split to Zurich, from Tallinn to Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Zurich.\n**Day 4-6:** Visit Zurich for 3 days.\n**Day 6:** Fly from Zurich to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.\n**Day 15:** Fly from Lyon to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Stuttgart.\n**Day 18-21:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1026",
    "estimated_output_tokens": 2339,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Tallinn, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Riga, Duration: 4 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 4 - 6.\n* City: Amsterdam, Fixed Schedule: Day 10 - 12.\n* City: Lyon, Fixed Schedule: Day 12 - 15.\n* City: Valencia, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Split, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Tallinn, Stuttgart, Riga] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 4 - 6).\n |- The departure day of Split is Day 4. The arrival day of Zurich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Split to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 10 - 12).\n   |- The departure day of Zurich is Day 6. The arrival day of Amsterdam is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Stuttgart, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 10 - 12).\n     |- The departure day of Tallinn is Day 7. The arrival day of Amsterdam is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Zurich, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Riga] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Zurich to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Zurich to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 10 - 12).\n     |- The departure day of Riga is Day 9. The arrival day of Amsterdam is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Zurich, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 10 - 12).\n       |- The departure day of Tallinn is Day 10. The arrival day of Amsterdam is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Zurich, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Tallinn to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 12 - 15).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Lyon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Split, Zurich, Riga, Tallinn, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 15 - 18).\n           |- The departure day of Lyon is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Split, Zurich, Riga, Tallinn, Amsterdam, Lyon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Lyon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Split, Zurich, Riga, Tallinn, Amsterdam, Lyon, Valencia].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Valencia to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Split, Zurich, Riga, Tallinn, Amsterdam, Lyon, Valencia, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Zurich.\n**Day 4-6:** Visit Zurich for 3 days.\n**Day 6:** Fly from Zurich to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.\n**Day 15:** Fly from Lyon to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Stuttgart.\n**Day 18-21:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Istanbul**Amsterdam**Venice**Barcelona**Valencia**Paris**Vilnius",
    "ground_truth_durations": "3**4**2**2**4**4**3**2",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Venice",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Salzburg. During day 1 and day 3, you have to attend a conference in Salzburg. You want to spend 2 days in Venice. You are going to attend a wedding in Venice between day 7 and day 8. You want to spend 2 days in Vilnius. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Paris. You plan to stay in Amsterdam for 2 days. You want to meet a friend in Amsterdam between day 6 and day 7. You would like to visit Istanbul for 4 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nIstanbul and Valencia, Amsterdam and Vilnius, Amsterdam and Venice, Amsterdam and Valencia, Paris and Vilnius, Barcelona and Paris, Istanbul and Venice, Barcelona and Valencia, Valencia and Paris, Venice and Barcelona, Amsterdam and Barcelona, Amsterdam and Paris, Salzburg and Istanbul, Istanbul and Paris, Istanbul and Vilnius, Istanbul and Barcelona, Istanbul and Amsterdam, Venice and Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Salzburg. During day 1 and day 3, you have to attend a conference in Salzburg. You want to spend 2 days in Venice. You are going to attend a wedding in Venice between day 7 and day 8. You want to spend 2 days in Vilnius. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Paris. You plan to stay in Amsterdam for 2 days. You want to meet a friend in Amsterdam between day 6 and day 7. You would like to visit Istanbul for 4 days. You would like to visit Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Valencia, from Amsterdam to Vilnius, from Amsterdam to Venice, from Amsterdam to Valencia, from Paris to Vilnius, from Barcelona to Paris, from Istanbul to Venice, from Barcelona to Valencia, from Valencia to Paris, from Venice to Barcelona, from Amsterdam to Barcelona, from Amsterdam to Paris, from Salzburg to Istanbul, from Istanbul to Paris, from Istanbul to Vilnius, from Istanbul to Barcelona, from Istanbul to Amsterdam, from Venice to Paris.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Barcelona.\n**Day 8-11:** Visit Barcelona for 4 days.\n**Day 11:** Fly from Barcelona to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1027",
    "estimated_output_tokens": 2638,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Vilnius, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Paris, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Istanbul, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 6 - 7.\n* City: Venice, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Paris, Duration: 3 days.\n* City: Istanbul, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 6 - 7).\n |- The departure day of Salzburg is Day 3. The arrival day of Amsterdam is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Paris, Istanbul, Valencia] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Salzburg to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Salzburg to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Salzburg to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 6 - 7).\n   |- The departure day of Istanbul is Day 6. The arrival day of Amsterdam is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Salzburg, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Istanbul to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 7 - 8).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Salzburg, Istanbul, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Amsterdam to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Salzburg, Istanbul, Amsterdam, Venice].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Paris, Valencia] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Venice to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris, Valencia] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Barcelona to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Barcelona to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona, Paris].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Paris to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona, Paris, Vilnius].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Vilnius to Valencia.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Paris to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Barcelona to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Valencia to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Paris from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona, Valencia, Paris].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Paris to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Salzburg, Istanbul, Amsterdam, Venice, Barcelona, Valencia, Paris, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Amsterdam.\n**Day 6-7:** Visit Amsterdam for 2 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Barcelona.\n**Day 8-11:** Visit Barcelona for 4 days.\n**Day 11:** Fly from Barcelona to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Istanbul**Venice**Naples**Valencia**Madrid**Stockholm**Dubrovnik",
    "ground_truth_durations": "2**5**2**4**3**4**4**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Naples",
        "Madrid"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You want to spend 4 days in Madrid. You would like to visit Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 18 and day 21. You would like to visit Riga for 2 days. You want to spend 2 days in Venice. You plan to stay in Valencia for 3 days. During day 10 and day 12, you have to attend a conference in Valencia. You would like to visit Naples for 4 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nRiga and Istanbul, Madrid and Dubrovnik, Istanbul and Valencia, Venice and Madrid, Madrid and Stockholm, Istanbul and Stockholm, Istanbul and Naples, Istanbul and Madrid, Naples and Valencia, Valencia and Madrid, Naples and Dubrovnik, Riga and Stockholm, Venice and Naples, Naples and Madrid, Stockholm and Dubrovnik, from Dubrovnik to Istanbul, Istanbul and Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 5 days. You want to spend 4 days in Madrid. You would like to visit Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 18 and day 21. You would like to visit Riga for 2 days. You want to spend 2 days in Venice. You plan to stay in Valencia for 3 days. During day 10 and day 12, you have to attend a conference in Valencia. You would like to visit Naples for 4 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Riga to Istanbul, from Madrid to Dubrovnik, from Istanbul to Valencia, from Venice to Madrid, from Madrid to Stockholm, from Istanbul to Stockholm, from Istanbul to Naples, from Istanbul to Madrid, from Naples to Valencia, from Valencia to Madrid, from Naples to Dubrovnik, from Riga to Stockholm, from Venice to Naples, from Naples to Madrid, from Stockholm to Dubrovnik, from Dubrovnik to Istanbul, from Istanbul to Venice.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_1028",
    "estimated_output_tokens": 6220,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Naples, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 10 - 12.\n* City: Dubrovnik, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Madrid, Riga, Venice, Naples, Stockholm] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 12).\n |- The departure day of Istanbul is Day 5. The arrival day of Valencia is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Venice, Naples, Stockholm] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Istanbul to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 10 - 12).\n   |- The departure day of Madrid is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Madrid].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Naples, Stockholm] and explore these options in order.\n     |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Madrid to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Madrid to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Madrid to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Madrid to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 12).\n     |- The departure day of Stockholm is Day 11. The arrival day of Valencia is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Istanbul to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Istanbul to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 10 - 12).\n   |- The departure day of Venice is Day 6. The arrival day of Valencia is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Naples, Stockholm] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Madrid is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Naples, Stockholm] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Madrid to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 10 - 12).\n       |- The departure day of Stockholm is Day 12. The arrival day of Valencia is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Naples is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Stockholm] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Naples to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 10 - 12).\n       |- The departure day of Madrid is Day 12. The arrival day of Valencia is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Naples to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Naples to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Istanbul to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 10 - 12).\n   |- The departure day of Naples is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Naples].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Venice, Stockholm] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Naples to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 12).\n     |- The departure day of Madrid is Day 11. The arrival day of Valencia is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Naples to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Naples to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Naples to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Istanbul to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 10 - 12).\n   |- The departure day of Stockholm is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Stockholm].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Venice, Naples] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stockholm to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stockholm to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stockholm to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stockholm to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 12).\n |- The departure day of Madrid is Day 4. The arrival day of Valencia is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Venice, Naples, Stockholm] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Madrid to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Madrid to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Madrid to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 12).\n   |- The departure day of Stockholm is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Venice, Naples] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stockholm to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stockholm to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stockholm to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stockholm to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 12).\n |- The departure day of Riga is Day 2. The arrival day of Valencia is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Madrid, Venice, Naples, Stockholm] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 10 - 12).\n   |- The departure day of Istanbul is Day 6. The arrival day of Valencia is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Venice, Naples, Stockholm] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Madrid is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Istanbul, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Naples, Stockholm] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Madrid to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 10 - 12).\n       |- The departure day of Stockholm is Day 12. The arrival day of Valencia is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Istanbul to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Venice is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Istanbul, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Naples, Stockholm] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 12).\n       |- The departure day of Madrid is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Istanbul, Venice, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Madrid to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 12).\n       |- The departure day of Naples is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Istanbul, Venice, Naples].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 18 - 21).\n         |- The departure day of Valencia is Day 12. The arrival day of Dubrovnik is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Riga, Istanbul, Venice, Naples, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Stockholm] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Valencia to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 18 - 21).\n           |- The departure day of Madrid is Day 15. The arrival day of Dubrovnik is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Riga, Istanbul, Venice, Naples, Valencia, Madrid].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Madrid to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 18 - 21).\n             |- The departure day of Stockholm is Day 18. The arrival day of Dubrovnik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Riga, Istanbul, Venice, Naples, Valencia, Madrid, Stockholm].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Stockholm to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Riga, Istanbul, Venice, Naples, Valencia, Madrid, Stockholm, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Istanbul.\n**Day 2-6:** Visit Istanbul for 5 days.\n**Day 6:** Fly from Istanbul to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Berlin**Lisbon**Frankfurt**Lyon**Venice**Brussels**Hamburg",
    "ground_truth_durations": "2**4**3**3**2**4**2**4",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Venice"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Geneva",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 2 days. You are going to attend a wedding in Brussels between day 13 and day 14. You would like to visit Berlin for 4 days. During day 2 and day 5, you have to attend a conference in Berlin. You plan to stay in Frankfurt for 3 days. You plan to stay in Venice for 4 days. You would like to visit Lisbon for 3 days. You have to attend a workshop in Lisbon between day 5 and day 7. You would like to visit Geneva for 2 days. You plan to stay in Hamburg for 4 days. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 9 and day 10.\n\nHere are the cities that have direct flights:\nBerlin and Venice, Berlin and Brussels, Geneva and Brussels, Frankfurt and Hamburg, Venice and Brussels, Frankfurt and Lyon, Frankfurt and Venice, Berlin and Frankfurt, Venice and Hamburg, from Hamburg to Geneva, from Brussels to Frankfurt, Lyon and Brussels, Berlin and Lisbon, Geneva and Berlin, Lisbon and Lyon, Lisbon and Frankfurt, Geneva and Lisbon, Brussels and Hamburg, Lyon and Venice, Lisbon and Brussels, Lisbon and Venice, Lisbon and Hamburg, Geneva and Frankfurt.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 2 days. You are going to attend a wedding in Brussels between day 13 and day 14. You would like to visit Berlin for 4 days. During day 2 and day 5, you have to attend a conference in Berlin. You plan to stay in Frankfurt for 3 days. You plan to stay in Venice for 4 days. You would like to visit Lisbon for 3 days. You have to attend a workshop in Lisbon between day 5 and day 7. You would like to visit Geneva for 2 days. You plan to stay in Hamburg for 4 days. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 9 and day 10.\n\nHere are the cities that have direct flights:\nfrom Berlin to Venice, from Berlin to Brussels, from Geneva to Brussels, from Frankfurt to Hamburg, from Venice to Brussels, from Frankfurt to Lyon, from Frankfurt to Venice, from Berlin to Frankfurt, from Venice to Hamburg, from Hamburg to Geneva, from Brussels to Frankfurt, from Lyon to Brussels, from Berlin to Lisbon, from Geneva to Berlin, from Lisbon to Lyon, from Lisbon to Frankfurt, from Geneva to Lisbon, from Brussels to Hamburg, from Lyon to Venice, from Lisbon to Brussels, from Lisbon to Venice, from Lisbon to Hamburg, from Geneva to Frankfurt.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Brussels.\n**Day 13-14:** Visit Brussels for 2 days.\n**Day 14:** Fly from Brussels to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_1029",
    "estimated_output_tokens": 2176,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Frankfurt, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Geneva, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 2 - 5.\n* City: Lisbon, Fixed Schedule: Day 5 - 7.\n* City: Lyon, Fixed Schedule: Day 9 - 10.\n* City: Brussels, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Venice, Geneva, Hamburg] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 5).\n |- The departure day of Frankfurt is Day 3. The arrival day of Berlin is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 5).\n |- The departure day of Venice is Day 4. The arrival day of Berlin is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 5).\n |- The departure day of Geneva is Day 2. The arrival day of Berlin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 5 - 7).\n   |- The departure day of Berlin is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Berlin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 9 - 10).\n     |- The departure day of Lisbon is Day 7. The arrival day of Lyon is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Berlin, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Venice, Hamburg] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 9 - 10).\n       |- The departure day of Frankfurt is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Geneva, Berlin, Lisbon, Frankfurt].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Frankfurt to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 13 - 14).\n         |- The departure day of Lyon is Day 10. The arrival day of Brussels is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Geneva, Berlin, Lisbon, Frankfurt, Lyon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Hamburg] and explore these options in order.\n           |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Lyon to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 13 - 14).\n           |- The departure day of Venice is Day 13. The arrival day of Brussels is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Geneva, Berlin, Lisbon, Frankfurt, Lyon, Venice].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Venice to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Geneva, Berlin, Lisbon, Frankfurt, Lyon, Venice, Brussels].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Brussels to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, Berlin, Lisbon, Frankfurt, Lyon, Venice, Brussels, Hamburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Brussels.\n**Day 13-14:** Visit Brussels for 2 days.\n**Day 14:** Fly from Brussels to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Dublin**Lyon**Venice**Athens**Zurich**Barcelona**Oslo",
    "ground_truth_durations": "2**5**3**3**4**3**5**5",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 15,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Dublin",
        "Barcelona"
      ],
      [
        "Zurich",
        "Barcelona"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Dublin",
        "Athens"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Lyon",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. From day 8 to day 10, there is a annual show you want to attend in Venice. You want to spend 3 days in Zurich. You would like to meet your friends at Zurich between day 13 and day 15 to tour together. You plan to stay in Stockholm for 2 days. You plan to stay in Dublin for 5 days. You want to spend 4 days in Athens. You want to spend 3 days in Lyon. You would like to visit Oslo for 5 days. You want to meet a friend in Oslo between day 19 and day 23. You want to spend 5 days in Barcelona. You plan to visit relatives in Barcelona between day 15 and day 19.\n\nHere are the cities that have direct flights:\nStockholm and Dublin, Dublin and Barcelona, Zurich and Barcelona, Lyon and Barcelona, Dublin and Athens, Zurich and Oslo, Stockholm and Zurich, Dublin and Venice, Venice and Oslo, Venice and Athens, Stockholm and Athens, Dublin and Lyon, Athens and Oslo, Athens and Barcelona, Dublin and Oslo, Venice and Zurich, Lyon and Venice, Stockholm and Oslo, Venice and Barcelona, Dublin and Zurich, Barcelona and Oslo, Athens and Zurich, Stockholm and Barcelona, Lyon and Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Venice. From day 8 to day 10, there is a annual show you want to attend in Venice. You want to spend 3 days in Zurich. You would like to meet your friends at Zurich between day 13 and day 15 to tour together. You plan to stay in Stockholm for 2 days. You plan to stay in Dublin for 5 days. You want to spend 4 days in Athens. You want to spend 3 days in Lyon. You would like to visit Oslo for 5 days. You want to meet a friend in Oslo between day 19 and day 23. You want to spend 5 days in Barcelona. You plan to visit relatives in Barcelona between day 15 and day 19.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Dublin, from Dublin to Barcelona, from Zurich to Barcelona, from Lyon to Barcelona, from Dublin to Athens, from Zurich to Oslo, from Stockholm to Zurich, from Dublin to Venice, from Venice to Oslo, from Venice to Athens, from Stockholm to Athens, from Dublin to Lyon, from Athens to Oslo, from Athens to Barcelona, from Dublin to Oslo, from Venice to Zurich, from Lyon to Venice, from Stockholm to Oslo, from Venice to Barcelona, from Dublin to Zurich, from Barcelona to Oslo, from Athens to Zurich, from Stockholm to Barcelona, from Lyon to Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Zurich.\n**Day 13-15:** Visit Zurich for 3 days.\n**Day 15:** Fly from Zurich to Barcelona.\n**Day 15-19:** Visit Barcelona for 5 days.\n**Day 19:** Fly from Barcelona to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_1030",
    "estimated_output_tokens": 2106,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Stockholm, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 10.\n* City: Zurich, Fixed Schedule: Day 13 - 15.\n* City: Barcelona, Fixed Schedule: Day 15 - 19.\n* City: Oslo, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Dublin, Athens, Lyon] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 10).\n |- The departure day of Stockholm is Day 2. The arrival day of Venice is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Athens, Lyon] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 8 - 10).\n   |- The departure day of Dublin is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Lyon] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dublin to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Athens is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dublin to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Lyon is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stockholm, Dublin, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 13 - 15).\n       |- The departure day of Venice is Day 10. The arrival day of Zurich is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Dublin, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n         |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Venice to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Zurich (Day 13 - 15).\n         |- The departure day of Athens is Day 13. The arrival day of Zurich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, Dublin, Lyon, Venice, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Zurich.\n           |- Try arranging to visit Zurich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Athens to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Barcelona (Day 15 - 19).\n           |- The departure day of Zurich is Day 15. The arrival day of Barcelona is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Stockholm, Dublin, Lyon, Venice, Athens, Zurich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Barcelona.\n             |- Try arranging to visit Barcelona from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Zurich to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Oslo (Day 19 - 23).\n             |- The departure day of Barcelona is Day 19. The arrival day of Oslo is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Stockholm, Dublin, Lyon, Venice, Athens, Zurich, Barcelona].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Oslo.\n               |- Try arranging to visit Oslo from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Barcelona to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Stockholm, Dublin, Lyon, Venice, Athens, Zurich, Barcelona, Oslo].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Lyon.\n**Day 6-8:** Visit Lyon for 3 days.\n**Day 8:** Fly from Lyon to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Zurich.\n**Day 13-15:** Visit Zurich for 3 days.\n**Day 15:** Fly from Zurich to Barcelona.\n**Day 15-19:** Visit Barcelona for 5 days.\n**Day 19:** Fly from Barcelona to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Manchester**Budapest**Nice**Riga**Tallinn**Warsaw**Split",
    "ground_truth_durations": "3**4**4**5**4**5**5**5",
    "num_cities": 8,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 4 days. From day 6 to day 9, there is a annual show you want to attend in Budapest. You want to spend 4 days in Riga. You have to attend a workshop in Riga between day 13 and day 16. You would like to visit Split for 5 days. You would like to visit Nice for 5 days. You want to spend 5 days in Warsaw. You would like to visit Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 1 and day 3. You would like to visit Manchester for 4 days. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, Manchester and Budapest, Nice and Riga, Stuttgart and Split, Stuttgart and Warsaw, Manchester and Riga, Manchester and Warsaw, Budapest and Warsaw, Nice and Warsaw, Warsaw and Split, Stuttgart and Manchester, Manchester and Nice, Stuttgart and Budapest, from Riga to Tallinn, Budapest and Nice, Riga and Warsaw, Tallinn and Warsaw.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 4 days. From day 6 to day 9, there is a annual show you want to attend in Budapest. You want to spend 4 days in Riga. You have to attend a workshop in Riga between day 13 and day 16. You would like to visit Split for 5 days. You would like to visit Nice for 5 days. You want to spend 5 days in Warsaw. You would like to visit Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 1 and day 3. You would like to visit Manchester for 4 days. You would like to visit Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, from Manchester to Budapest, from Nice to Riga, from Stuttgart to Split, from Stuttgart to Warsaw, from Manchester to Riga, from Manchester to Warsaw, from Budapest to Warsaw, from Nice to Warsaw, from Warsaw to Split, from Stuttgart to Manchester, from Manchester to Nice, from Stuttgart to Budapest, from Riga to Tallinn, from Budapest to Nice, from Riga to Warsaw, from Tallinn to Warsaw.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 28 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Manchester.\n**Day 3-6:** Visit Manchester for 4 days.\n**Day 6:** Fly from Manchester to Budapest.\n**Day 6-9:** Visit Budapest for 4 days.\n**Day 9:** Fly from Budapest to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Split.\n**Day 24-28:** Visit Split for 5 days.",
    "id": "trip_planning_example_1031",
    "estimated_output_tokens": 2779,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Split, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Warsaw, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Manchester, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Fixed Schedule: Day 6 - 9.\n* City: Riga, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Warsaw, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 6 - 9).\n |- The departure day of Stuttgart is Day 3. The arrival day of Budapest is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Nice, Warsaw, Manchester, Tallinn] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 6 - 9).\n   |- The departure day of Split is Day 7. The arrival day of Budapest is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 6 - 9).\n   |- The departure day of Warsaw is Day 7. The arrival day of Budapest is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 6 - 9).\n   |- The departure day of Manchester is Day 6. The arrival day of Budapest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Manchester to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 13 - 16).\n     |- The departure day of Budapest is Day 9. The arrival day of Riga is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stuttgart, Manchester, Budapest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Nice, Warsaw, Tallinn] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 13 - 16).\n       |- The departure day of Nice is Day 13. The arrival day of Riga is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Manchester, Budapest, Nice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Warsaw, Tallinn] and explore these options in order.\n           |- Try arranging to visit Split from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Riga to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Riga to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga, Warsaw].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Tallinn] and explore these options in order.\n             |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Warsaw to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga, Warsaw, Split].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Split to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Warsaw] and explore these options in order.\n             |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Tallinn to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Tallinn to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga, Tallinn, Warsaw].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Warsaw to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Stuttgart, Manchester, Budapest, Nice, Riga, Tallinn, Warsaw, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Manchester.\n**Day 3-6:** Visit Manchester for 4 days.\n**Day 6:** Fly from Manchester to Budapest.\n**Day 6-9:** Visit Budapest for 4 days.\n**Day 9:** Fly from Budapest to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Split.\n**Day 24-28:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Rome**Venice**Santorini**Zurich**Krakow**Warsaw**Madrid",
    "ground_truth_durations": "5**4**2**3**3**4**3**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Warsaw",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 4 days. From day 18 to day 21, there is a annual show you want to attend in Madrid. You would like to visit Rome for 4 days. You want to spend 5 days in Dubrovnik. You want to spend 2 days in Venice. You plan to visit relatives in Venice between day 8 and day 9. You plan to stay in Zurich for 3 days. You want to spend 3 days in Warsaw. You would like to visit Krakow for 4 days. During day 13 and day 16, you have to attend a conference in Krakow. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Zurich, Rome and Santorini, Santorini and Madrid, Krakow and Warsaw, Dubrovnik and Rome, Venice and Madrid, Venice and Warsaw, Rome and Zurich, Venice and Santorini, Santorini and Zurich, Zurich and Madrid, Venice and Zurich, Zurich and Warsaw, Zurich and Krakow, Dubrovnik and Madrid, Rome and Venice, Rome and Warsaw, Rome and Madrid, Warsaw and Madrid.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 4 days. From day 18 to day 21, there is a annual show you want to attend in Madrid. You would like to visit Rome for 4 days. You want to spend 5 days in Dubrovnik. You want to spend 2 days in Venice. You plan to visit relatives in Venice between day 8 and day 9. You plan to stay in Zurich for 3 days. You want to spend 3 days in Warsaw. You would like to visit Krakow for 4 days. During day 13 and day 16, you have to attend a conference in Krakow. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Zurich, from Rome to Santorini, from Santorini to Madrid, from Krakow to Warsaw, from Dubrovnik to Rome, from Venice to Madrid, from Venice to Warsaw, from Rome to Zurich, from Venice to Santorini, from Santorini to Zurich, from Zurich to Madrid, from Venice to Zurich, from Zurich to Warsaw, from Zurich to Krakow, from Dubrovnik to Madrid, from Rome to Venice, from Rome to Warsaw, from Rome to Madrid, from Warsaw to Madrid.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Zurich.\n**Day 11-13:** Visit Zurich for 3 days.\n**Day 13:** Fly from Zurich to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Madrid.\n**Day 18-21:** Visit Madrid for 4 days.",
    "id": "trip_planning_example_1032",
    "estimated_output_tokens": 4672,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Rome, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Zurich, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Santorini, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 9.\n* City: Krakow, Fixed Schedule: Day 13 - 16.\n* City: Madrid, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Dubrovnik, Zurich, Warsaw, Santorini] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Rome is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Zurich, Warsaw, Santorini] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Rome to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 9).\n   |- The departure day of Zurich is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Warsaw, Santorini] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 9).\n     |- The departure day of Warsaw is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Zurich, Warsaw].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Warsaw to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 9).\n   |- The departure day of Warsaw is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Zurich, Santorini] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Warsaw to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 9).\n   |- The departure day of Santorini is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Santorini].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Zurich, Warsaw] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Santorini to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 9).\n     |- The departure day of Zurich is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Santorini, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Warsaw.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Zurich, Warsaw, Santorini] and explore these options in order.\n   |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Rome is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Rome to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 13 - 16).\n     |- The departure day of Venice is Day 9. The arrival day of Krakow is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Rome, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Warsaw, Santorini] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 16).\n       |- The departure day of Zurich is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Rome, Venice, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Santorini] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Zurich to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 16).\n         |- The departure day of Warsaw is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Rome, Venice, Zurich, Warsaw].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Warsaw to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Zurich to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 16).\n       |- The departure day of Warsaw is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Rome, Venice, Warsaw].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Warsaw to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Warsaw to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 16).\n       |- The departure day of Santorini is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Rome, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Warsaw] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Santorini to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 16).\n         |- The departure day of Zurich is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Rome, Venice, Santorini, Zurich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Zurich to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Madrid (Day 18 - 21).\n           |- The departure day of Krakow is Day 16. The arrival day of Madrid is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Rome, Venice, Santorini, Zurich, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Krakow to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Madrid (Day 18 - 21).\n             |- The departure day of Warsaw is Day 18. The arrival day of Madrid is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Dubrovnik, Rome, Venice, Santorini, Zurich, Krakow, Warsaw].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Madrid.\n               |- Try arranging to visit Madrid from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Warsaw to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Dubrovnik, Rome, Venice, Santorini, Zurich, Krakow, Warsaw, Madrid].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dubrovnik and visit Dubrovnik for 5 days.\n**Day 5:** Fly from Dubrovnik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Santorini.\n**Day 9-11:** Visit Santorini for 3 days.\n**Day 11:** Fly from Santorini to Zurich.\n**Day 11-13:** Visit Zurich for 3 days.\n**Day 13:** Fly from Zurich to Krakow.\n**Day 13-16:** Visit Krakow for 4 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Madrid.\n**Day 18-21:** Visit Madrid for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Lyon**Venice**Santorini**Naples**Dubrovnik**Amsterdam**Tallinn",
    "ground_truth_durations": "2**2**2**5**5**3**2**3",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 2 and day 3. You plan to stay in Naples for 5 days. You would like to visit Paris for 2 days. You plan to visit relatives in Paris between day 1 and day 2. You plan to stay in Tallinn for 3 days. You have to attend a workshop in Tallinn between day 15 and day 17. You want to spend 2 days in Amsterdam. You plan to stay in Santorini for 5 days. You would like to meet your friends at Santorini between day 4 and day 8 to tour together. You want to spend 2 days in Venice. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nNaples and Amsterdam, Venice and Naples, Naples and Dubrovnik, Santorini and Naples, Santorini and Amsterdam, Paris and Naples, Paris and Tallinn, Dubrovnik and Amsterdam, Paris and Lyon, Paris and Amsterdam, Venice and Santorini, Lyon and Venice, Paris and Venice, Amsterdam and Tallinn, Venice and Amsterdam, Lyon and Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 2 and day 3. You plan to stay in Naples for 5 days. You would like to visit Paris for 2 days. You plan to visit relatives in Paris between day 1 and day 2. You plan to stay in Tallinn for 3 days. You have to attend a workshop in Tallinn between day 15 and day 17. You want to spend 2 days in Amsterdam. You plan to stay in Santorini for 5 days. You would like to meet your friends at Santorini between day 4 and day 8 to tour together. You want to spend 2 days in Venice. You would like to visit Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Amsterdam, from Venice to Naples, from Naples to Dubrovnik, from Santorini to Naples, from Santorini to Amsterdam, from Paris to Naples, from Paris to Tallinn, from Dubrovnik to Amsterdam, from Paris to Lyon, from Paris to Amsterdam, from Venice to Santorini, from Lyon to Venice, from Paris to Venice, from Amsterdam to Tallinn, from Venice to Amsterdam, from Lyon to Amsterdam.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Venice.\n**Day 3-4:** Visit Venice for 2 days.\n**Day 4:** Fly from Venice to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Tallinn.\n**Day 15-17:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1033",
    "estimated_output_tokens": 2646,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Naples, Duration: 5 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Amsterdam, Duration: 2 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Venice, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Lyon, Fixed Schedule: Day 2 - 3.\n* City: Santorini, Fixed Schedule: Day 4 - 8.\n* City: Tallinn, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Naples, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 3).\n |- The departure day of Paris is Day 2. The arrival day of Lyon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 4 - 8).\n   |- The departure day of Lyon is Day 3. The arrival day of Santorini is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Amsterdam, Venice, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lyon to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 4 - 8).\n     |- The departure day of Amsterdam is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Paris, Lyon, Amsterdam].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 4 - 8).\n     |- The departure day of Venice is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Paris, Lyon, Venice].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 15 - 17).\n       |- The departure day of Santorini is Day 8. The arrival day of Tallinn is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Paris, Lyon, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Amsterdam, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Santorini to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 15 - 17).\n         |- The departure day of Naples is Day 12. The arrival day of Tallinn is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Lyon, Venice, Santorini, Naples].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Naples to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 15 - 17).\n           |- The departure day of Amsterdam is Day 13. The arrival day of Tallinn is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Paris, Lyon, Venice, Santorini, Naples, Amsterdam].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Naples to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 15 - 17).\n           |- The departure day of Dubrovnik is Day 14. The arrival day of Tallinn is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Paris, Lyon, Venice, Santorini, Naples, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Dubrovnik to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 15 - 17).\n             |- The departure day of Amsterdam is Day 15. The arrival day of Tallinn is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Lyon, Venice, Santorini, Naples, Dubrovnik, Amsterdam].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Amsterdam to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Paris, Lyon, Venice, Santorini, Naples, Dubrovnik, Amsterdam, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Venice.\n**Day 3-4:** Visit Venice for 2 days.\n**Day 4:** Fly from Venice to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Tallinn.\n**Day 15-17:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Milan**Zurich**Copenhagen**Porto**Seville**Brussels**Naples",
    "ground_truth_durations": "4**3**2**3**5**4**2**5",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Porto"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Copenhagen",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. From day 9 to day 13, there is a annual show you want to attend in Porto. You plan to stay in Milan for 3 days. You plan to visit relatives in Milan between day 4 and day 6. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 6 and day 7. You want to spend 4 days in Seville. You want to spend 2 days in Brussels. You would like to visit Paris for 4 days. During day 1 and day 4, you have to attend a conference in Paris. You want to spend 3 days in Copenhagen. You plan to stay in Naples for 5 days.\n\nHere are the cities that have direct flights:\nMilan and Porto, Paris and Naples, Paris and Milan, Copenhagen and Naples, Milan and Brussels, Zurich and Naples, Zurich and Porto, Milan and Copenhagen, Paris and Brussels, Paris and Copenhagen, Brussels and Naples, Porto and Brussels, Zurich and Copenhagen, Zurich and Brussels, Seville and Brussels, Milan and Seville, Copenhagen and Brussels, Paris and Porto, Paris and Zurich, Paris and Seville, Milan and Naples, Milan and Zurich, Porto and Seville, Copenhagen and Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. From day 9 to day 13, there is a annual show you want to attend in Porto. You plan to stay in Milan for 3 days. You plan to visit relatives in Milan between day 4 and day 6. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 6 and day 7. You want to spend 4 days in Seville. You want to spend 2 days in Brussels. You would like to visit Paris for 4 days. During day 1 and day 4, you have to attend a conference in Paris. You want to spend 3 days in Copenhagen. You plan to stay in Naples for 5 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Porto, from Paris to Naples, from Paris to Milan, from Copenhagen to Naples, from Milan to Brussels, from Zurich to Naples, from Zurich to Porto, from Milan to Copenhagen, from Paris to Brussels, from Paris to Copenhagen, from Brussels to Naples, from Porto to Brussels, from Zurich to Copenhagen, from Zurich to Brussels, from Seville to Brussels, from Milan to Seville, from Copenhagen to Brussels, from Paris to Porto, from Paris to Zurich, from Paris to Seville, from Milan to Naples, from Milan to Zurich, from Porto to Seville, from Copenhagen to Porto.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Brussels.\n**Day 16-17:** Visit Brussels for 2 days.\n**Day 17:** Fly from Brussels to Naples.\n**Day 17-21:** Visit Naples for 5 days.",
    "id": "trip_planning_example_1034",
    "estimated_output_tokens": 2357,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Seville, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 4.\n* City: Milan, Fixed Schedule: Day 4 - 6.\n* City: Zurich, Fixed Schedule: Day 6 - 7.\n* City: Porto, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Paris is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Paris to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 6 - 7).\n   |- The departure day of Milan is Day 6. The arrival day of Zurich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 9 - 13).\n     |- The departure day of Zurich is Day 7. The arrival day of Porto is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Milan, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Brussels, Copenhagen, Naples] and explore these options in order.\n       |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Zurich to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Zurich to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 9 - 13).\n       |- The departure day of Brussels is Day 8. The arrival day of Porto is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Paris, Milan, Zurich, Brussels].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Copenhagen, Naples] and explore these options in order.\n         |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Brussels to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Brussels to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Brussels to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 9 - 13).\n         |- The departure day of Naples is Day 12. The arrival day of Porto is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Zurich to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 9 - 13).\n       |- The departure day of Copenhagen is Day 9. The arrival day of Porto is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Milan, Zurich, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Copenhagen to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Paris, Milan, Zurich, Copenhagen, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Brussels, Naples] and explore these options in order.\n           |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Porto to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Paris, Milan, Zurich, Copenhagen, Porto, Seville].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels, Naples] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Seville to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Paris, Milan, Zurich, Copenhagen, Porto, Seville, Brussels].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n               |- Try arranging to visit Naples from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Brussels to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Paris, Milan, Zurich, Copenhagen, Porto, Seville, Brussels, Naples].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Paris and visit Paris for 4 days.\n**Day 4:** Fly from Paris to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Zurich.\n**Day 6-7:** Visit Zurich for 2 days.\n**Day 7:** Fly from Zurich to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Brussels.\n**Day 16-17:** Visit Brussels for 2 days.\n**Day 17:** Fly from Brussels to Naples.\n**Day 17-21:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Stuttgart**Budapest**Prague**Riga**Berlin**Venice**Santorini",
    "ground_truth_durations": "2**4**3**4**5**4**5**3",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Venice"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Budapest",
        "Prague"
      ],
      [
        "Riga",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You would like to meet your friends at Berlin between day 14 and day 17 to tour together. You plan to stay in Venice for 5 days. You plan to stay in Santorini for 3 days. You want to spend 3 days in Budapest. During day 5 and day 7, you have to attend a conference in Budapest. You would like to visit Riga for 5 days. You plan to stay in Paris for 2 days. You would like to visit Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 2 and day 5. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nParis and Venice, Budapest and Berlin, Stuttgart and Budapest, Paris and Riga, Paris and Prague, Paris and Stuttgart, Stuttgart and Venice, Prague and Riga, Venice and Santorini, Berlin and Venice, Stuttgart and Berlin, Paris and Berlin, Paris and Budapest, Budapest and Prague, Riga and Berlin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You would like to meet your friends at Berlin between day 14 and day 17 to tour together. You plan to stay in Venice for 5 days. You plan to stay in Santorini for 3 days. You want to spend 3 days in Budapest. During day 5 and day 7, you have to attend a conference in Budapest. You would like to visit Riga for 5 days. You plan to stay in Paris for 2 days. You would like to visit Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 2 and day 5. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Venice, from Budapest to Berlin, from Stuttgart to Budapest, from Paris to Riga, from Paris to Prague, from Paris to Stuttgart, from Stuttgart to Venice, from Prague to Riga, from Venice to Santorini, from Berlin to Venice, from Stuttgart to Berlin, from Paris to Berlin, from Paris to Budapest, from Budapest to Prague, from Riga to Berlin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Stuttgart.\n**Day 2-5:** Visit Stuttgart for 4 days.\n**Day 5:** Fly from Stuttgart to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Santorini.\n**Day 21-23:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1035",
    "estimated_output_tokens": 2526,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Venice, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Riga, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 2 - 5.\n* City: Budapest, Fixed Schedule: Day 5 - 7.\n* City: Berlin, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: Riga, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Santorini, Riga, Paris, Prague] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 5).\n |- The departure day of Venice is Day 5. The arrival day of Stuttgart is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 5).\n |- The departure day of Santorini is Day 3. The arrival day of Stuttgart is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 5).\n |- The departure day of Riga is Day 5. The arrival day of Stuttgart is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 2 - 5).\n |- The departure day of Paris is Day 2. The arrival day of Stuttgart is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 5 - 7).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stuttgart to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 14 - 17).\n     |- The departure day of Budapest is Day 7. The arrival day of Berlin is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Stuttgart, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Riga, Prague] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Budapest to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Budapest to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 14 - 17).\n       |- The departure day of Prague is Day 10. The arrival day of Berlin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Paris, Stuttgart, Budapest, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Riga] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Prague to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 14 - 17).\n         |- The departure day of Riga is Day 14. The arrival day of Berlin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Paris, Stuttgart, Budapest, Prague, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Riga to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Paris, Stuttgart, Budapest, Prague, Riga, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Santorini] and explore these options in order.\n             |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Berlin to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Paris, Stuttgart, Budapest, Prague, Riga, Berlin, Venice].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Venice to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Paris, Stuttgart, Budapest, Prague, Riga, Berlin, Venice, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Stuttgart.\n**Day 2-5:** Visit Stuttgart for 4 days.\n**Day 5:** Fly from Stuttgart to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Santorini.\n**Day 21-23:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Venice**Rome**Stockholm**Hamburg**Milan**Reykjavik",
    "ground_truth_durations": "5**4**4**4**4**5**3**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Frankfurt",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Frankfurt",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 4 days. You plan to stay in Hamburg for 5 days. You are going to attend a wedding in Hamburg between day 17 and day 21. You want to spend 3 days in Milan. You want to spend 4 days in Frankfurt. You plan to stay in Venice for 4 days. You want to meet a friend in Venice between day 8 and day 11. You plan to stay in Salzburg for 5 days. During day 1 and day 5, you have to attend a conference in Salzburg. You plan to stay in Reykjavik for 3 days. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Venice, Venice and Rome, Frankfurt and Hamburg, Hamburg and Milan, Frankfurt and Reykjavik, Stockholm and Hamburg, Rome and Hamburg, Stockholm and Reykjavik, Salzburg and Frankfurt, Venice and Hamburg, Rome and Stockholm, Frankfurt and Stockholm, Salzburg and Hamburg, Milan and Reykjavik, Stockholm and Milan, Rome and Reykjavik, Frankfurt and Milan, Frankfurt and Rome.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 4 days. You plan to stay in Hamburg for 5 days. You are going to attend a wedding in Hamburg between day 17 and day 21. You want to spend 3 days in Milan. You want to spend 4 days in Frankfurt. You plan to stay in Venice for 4 days. You want to meet a friend in Venice between day 8 and day 11. You plan to stay in Salzburg for 5 days. During day 1 and day 5, you have to attend a conference in Salzburg. You plan to stay in Reykjavik for 3 days. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Venice, from Venice to Rome, from Frankfurt to Hamburg, from Hamburg to Milan, from Frankfurt to Reykjavik, from Stockholm to Hamburg, from Rome to Hamburg, from Stockholm to Reykjavik, from Salzburg to Frankfurt, from Venice to Hamburg, from Rome to Stockholm, from Frankfurt to Stockholm, from Salzburg to Hamburg, from Milan to Reykjavik, from Stockholm to Milan, from Rome to Reykjavik, from Frankfurt to Milan, from Frankfurt to Rome.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-8:** Visit Frankfurt for 4 days.\n**Day 8:** Fly from Frankfurt to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Rome.\n**Day 11-14:** Visit Rome for 4 days.\n**Day 14:** Fly from Rome to Stockholm.\n**Day 14-17:** Visit Stockholm for 4 days.\n**Day 17:** Fly from Stockholm to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Milan.\n**Day 21-23:** Visit Milan for 3 days.\n**Day 23:** Fly from Milan to Reykjavik.\n**Day 23-25:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_1036",
    "estimated_output_tokens": 2428,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Milan, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 5.\n* City: Venice, Fixed Schedule: Day 8 - 11.\n* City: Hamburg, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 11).\n |- The departure day of Salzburg is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Milan, Frankfurt, Reykjavik, Stockholm] and explore these options in order.\n   |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Salzburg to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 11).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 17 - 21).\n     |- The departure day of Venice is Day 11. The arrival day of Hamburg is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Salzburg, Frankfurt, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Milan, Reykjavik, Stockholm] and explore these options in order.\n       |- Try arranging to visit Rome from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Venice to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Hamburg (Day 17 - 21).\n       |- The departure day of Rome is Day 14. The arrival day of Hamburg is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Salzburg, Frankfurt, Venice, Rome].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik, Stockholm] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Rome to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Rome to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 17 - 21).\n         |- The departure day of Reykjavik is Day 16. The arrival day of Hamburg is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Salzburg, Frankfurt, Venice, Rome, Reykjavik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Stockholm] and explore these options in order.\n           |- Try arranging to visit Milan from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Reykjavik to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Rome to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 17 - 21).\n         |- The departure day of Stockholm is Day 17. The arrival day of Hamburg is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Salzburg, Frankfurt, Venice, Rome, Stockholm].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Stockholm to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Salzburg, Frankfurt, Venice, Rome, Stockholm, Hamburg].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Milan from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Hamburg to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Salzburg, Frankfurt, Venice, Rome, Stockholm, Hamburg, Milan].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Milan to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Salzburg, Frankfurt, Venice, Rome, Stockholm, Hamburg, Milan, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-8:** Visit Frankfurt for 4 days.\n**Day 8:** Fly from Frankfurt to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Rome.\n**Day 11-14:** Visit Rome for 4 days.\n**Day 14:** Fly from Rome to Stockholm.\n**Day 14-17:** Visit Stockholm for 4 days.\n**Day 17:** Fly from Stockholm to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Milan.\n**Day 21-23:** Visit Milan for 3 days.\n**Day 23:** Fly from Milan to Reykjavik.\n**Day 23-25:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Warsaw**Venice**Lisbon**Frankfurt**Dubrovnik**Stockholm**Santorini",
    "ground_truth_durations": "5**4**4**5**3**2**4**5",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Warsaw",
        "Lisbon"
      ],
      [
        "Warsaw",
        "Stockholm"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 5 and day 8. You plan to stay in Tallinn for 5 days. You plan to stay in Santorini for 5 days. You plan to visit relatives in Santorini between day 21 and day 25. You plan to stay in Dubrovnik for 2 days. You would like to visit Lisbon for 5 days. You would like to visit Venice for 4 days. You have to attend a workshop in Venice between day 8 and day 11. You plan to stay in Frankfurt for 3 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nDubrovnik and Stockholm, Warsaw and Lisbon, Warsaw and Stockholm, Tallinn and Warsaw, Venice and Frankfurt, Lisbon and Stockholm, Lisbon and Frankfurt, Venice and Santorini, Venice and Lisbon, Warsaw and Venice, from Stockholm to Santorini, Frankfurt and Stockholm, Warsaw and Frankfurt, Tallinn and Frankfurt, Tallinn and Stockholm, Frankfurt and Dubrovnik.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 5 and day 8. You plan to stay in Tallinn for 5 days. You plan to stay in Santorini for 5 days. You plan to visit relatives in Santorini between day 21 and day 25. You plan to stay in Dubrovnik for 2 days. You would like to visit Lisbon for 5 days. You would like to visit Venice for 4 days. You have to attend a workshop in Venice between day 8 and day 11. You plan to stay in Frankfurt for 3 days. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Stockholm, from Warsaw to Lisbon, from Warsaw to Stockholm, from Tallinn to Warsaw, from Venice to Frankfurt, from Lisbon to Stockholm, from Lisbon to Frankfurt, from Venice to Santorini, from Venice to Lisbon, from Warsaw to Venice, from Stockholm to Santorini, from Frankfurt to Stockholm, from Warsaw to Frankfurt, from Tallinn to Frankfurt, from Tallinn to Stockholm, from Frankfurt to Dubrovnik.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-15:** Visit Lisbon for 5 days.\n**Day 15:** Fly from Lisbon to Frankfurt.\n**Day 15-17:** Visit Frankfurt for 3 days.\n**Day 17:** Fly from Frankfurt to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.\n**Day 21:** Fly from Stockholm to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1037",
    "estimated_output_tokens": 2174,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Duration: 5 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lisbon, Duration: 5 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Frankfurt, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 5 - 8.\n* City: Venice, Fixed Schedule: Day 8 - 11.\n* City: Santorini, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lisbon, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik, Lisbon, Frankfurt, Stockholm] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 8).\n |- The departure day of Tallinn is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 11).\n   |- The departure day of Warsaw is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Tallinn, Warsaw].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Warsaw to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n     |- The departure day of Venice is Day 11. The arrival day of Santorini is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Tallinn, Warsaw, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon, Frankfurt, Stockholm] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Venice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Venice to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 21 - 25).\n       |- The departure day of Lisbon is Day 15. The arrival day of Santorini is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Tallinn, Warsaw, Venice, Lisbon].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Stockholm] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Lisbon to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Lisbon to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 21 - 25).\n         |- The departure day of Frankfurt is Day 17. The arrival day of Santorini is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Tallinn, Warsaw, Venice, Lisbon, Frankfurt].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stockholm] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Santorini (Day 21 - 25).\n           |- The departure day of Dubrovnik is Day 18. The arrival day of Santorini is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Tallinn, Warsaw, Venice, Lisbon, Frankfurt, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Dubrovnik to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 21 - 25).\n             |- The departure day of Stockholm is Day 21. The arrival day of Santorini is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Tallinn, Warsaw, Venice, Lisbon, Frankfurt, Dubrovnik, Stockholm].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Santorini.\n               |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Stockholm to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Tallinn, Warsaw, Venice, Lisbon, Frankfurt, Dubrovnik, Stockholm, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Warsaw.\n**Day 5-8:** Visit Warsaw for 4 days.\n**Day 8:** Fly from Warsaw to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Lisbon.\n**Day 11-15:** Visit Lisbon for 5 days.\n**Day 15:** Fly from Lisbon to Frankfurt.\n**Day 15-17:** Visit Frankfurt for 3 days.\n**Day 17:** Fly from Frankfurt to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.\n**Day 21:** Fly from Stockholm to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Dublin**Santorini**Athens**Riga**Lisbon**Istanbul**Salzburg",
    "ground_truth_durations": "3**5**2**2**3**3**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Dublin",
        "Istanbul"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Dublin",
        "Athens"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Athens",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You plan to visit relatives in Riga between day 9 and day 11. You would like to visit Porto for 3 days. You want to spend 2 days in Istanbul. You plan to stay in Lisbon for 3 days. You want to spend 2 days in Salzburg. You want to meet a friend in Salzburg between day 14 and day 15. You want to spend 5 days in Dublin. You plan to stay in Athens for 2 days. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nDublin and Lisbon, Athens and Lisbon, Istanbul and Salzburg, Lisbon and Istanbul, Porto and Lisbon, Dublin and Riga, Dublin and Istanbul, Riga and Lisbon, from Athens to Riga, Dublin and Athens, Dublin and Santorini, Santorini and Athens, Riga and Istanbul, Porto and Dublin, Porto and Istanbul, Athens and Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You plan to visit relatives in Riga between day 9 and day 11. You would like to visit Porto for 3 days. You want to spend 2 days in Istanbul. You plan to stay in Lisbon for 3 days. You want to spend 2 days in Salzburg. You want to meet a friend in Salzburg between day 14 and day 15. You want to spend 5 days in Dublin. You plan to stay in Athens for 2 days. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Dublin to Lisbon, from Athens to Lisbon, from Istanbul to Salzburg, from Lisbon to Istanbul, from Porto to Lisbon, from Dublin to Riga, from Dublin to Istanbul, from Riga to Lisbon, from Athens to Riga, from Dublin to Athens, from Dublin to Santorini, from Santorini to Athens, from Riga to Istanbul, from Porto to Dublin, from Porto to Istanbul, from Athens to Istanbul.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Dublin.\n**Day 3-7:** Visit Dublin for 5 days.\n**Day 7:** Fly from Dublin to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.\n**Day 14:** Fly from Istanbul to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1038",
    "estimated_output_tokens": 4799,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Porto, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Salzburg, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Dublin, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 9 - 11.\n* City: Salzburg, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Dublin, Duration: 5 days.\n* City: Athens, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Istanbul, Lisbon, Dublin, Athens, Santorini] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 9 - 11).\n |- The departure day of Porto is Day 3. The arrival day of Riga is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Lisbon, Dublin, Athens, Santorini] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 9 - 11).\n   |- The departure day of Istanbul is Day 4. The arrival day of Riga is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Dublin, Athens, Santorini] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 9 - 11).\n   |- The departure day of Lisbon is Day 5. The arrival day of Riga is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dublin, Athens, Santorini] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 9 - 11).\n     |- The departure day of Istanbul is Day 6. The arrival day of Riga is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Lisbon, Istanbul].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Athens, Santorini] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Istanbul to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Istanbul to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Istanbul to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 9 - 11).\n   |- The departure day of Dublin is Day 7. The arrival day of Riga is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Lisbon, Athens, Santorini] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dublin to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 9 - 11).\n     |- The departure day of Istanbul is Day 8. The arrival day of Riga is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Dublin, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Athens, Santorini] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Istanbul to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Dublin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 9 - 11).\n     |- The departure day of Lisbon is Day 9. The arrival day of Riga is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Dublin, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dublin to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 9 - 11).\n     |- The departure day of Athens is Day 8. The arrival day of Riga is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Dublin, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Lisbon, Santorini] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 9 - 11).\n       |- The departure day of Istanbul is Day 9. The arrival day of Riga is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Dublin, Athens, Istanbul].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Istanbul to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Athens to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 9 - 11).\n       |- The departure day of Lisbon is Day 10. The arrival day of Riga is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Dublin to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 9 - 11).\n     |- The departure day of Santorini is Day 8. The arrival day of Riga is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Dublin, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Lisbon, Athens] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Santorini to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Santorini to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Santorini to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 9 - 11).\n       |- The departure day of Athens is Day 9. The arrival day of Riga is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Dublin, Santorini, Athens].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 14 - 15).\n         |- The departure day of Riga is Day 11. The arrival day of Salzburg is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Dublin, Santorini, Athens, Riga].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Lisbon] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Riga to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 14 - 15).\n           |- The departure day of Istanbul is Day 12. The arrival day of Salzburg is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Porto, Dublin, Santorini, Athens, Riga, Istanbul].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Istanbul to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Riga to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 14 - 15).\n           |- The departure day of Lisbon is Day 13. The arrival day of Salzburg is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Porto, Dublin, Santorini, Athens, Riga, Lisbon].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Lisbon to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 14 - 15).\n             |- The departure day of Istanbul is Day 14. The arrival day of Salzburg is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Porto, Dublin, Santorini, Athens, Riga, Lisbon, Istanbul].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Salzburg.\n               |- Try arranging to visit Salzburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Istanbul to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Porto, Dublin, Santorini, Athens, Riga, Lisbon, Istanbul, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Dublin.\n**Day 3-7:** Visit Dublin for 5 days.\n**Day 7:** Fly from Dublin to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-9:** Visit Athens for 2 days.\n**Day 9:** Fly from Athens to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.\n**Day 14:** Fly from Istanbul to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Dublin**Venice**Manchester**Warsaw**Reykjavik**Munich**Mykonos",
    "ground_truth_durations": "2**5**5**4**2**2**3**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Manchester"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Dublin",
        "Munich"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Venice",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 1 and day 2. You plan to stay in Venice for 5 days. You have to attend a workshop in Venice between day 6 and day 10. You would like to visit Mykonos for 4 days. You plan to stay in Munich for 3 days. You would like to visit Reykjavik for 2 days. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 13 and day 14. You want to spend 4 days in Manchester. You would like to meet your friends at Manchester between day 10 and day 13 to tour together. You would like to visit Dublin for 5 days.\n\nHere are the cities that have direct flights:\nVenice and Manchester, Munich and Mykonos, Dublin and Reykjavik, Venice and Munich, Dublin and Manchester, Reykjavik and Munich, Dublin and Venice, Manchester and Warsaw, Valencia and Warsaw, Dublin and Munich, Valencia and Dublin, Warsaw and Munich, Valencia and Munich, Manchester and Munich, Warsaw and Reykjavik, Venice and Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Valencia. You want to meet a friend in Valencia between day 1 and day 2. You plan to stay in Venice for 5 days. You have to attend a workshop in Venice between day 6 and day 10. You would like to visit Mykonos for 4 days. You plan to stay in Munich for 3 days. You would like to visit Reykjavik for 2 days. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 13 and day 14. You want to spend 4 days in Manchester. You would like to meet your friends at Manchester between day 10 and day 13 to tour together. You would like to visit Dublin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Manchester, from Munich to Mykonos, from Dublin to Reykjavik, from Venice to Munich, from Dublin to Manchester, from Reykjavik to Munich, from Dublin to Venice, from Manchester to Warsaw, from Valencia to Warsaw, from Dublin to Munich, from Valencia to Dublin, from Warsaw to Munich, from Valencia to Munich, from Manchester to Munich, from Warsaw to Reykjavik, from Venice to Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Manchester.\n**Day 10-13:** Visit Manchester for 4 days.\n**Day 13:** Fly from Manchester to Warsaw.\n**Day 13-14:** Visit Warsaw for 2 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-15:** Visit Reykjavik for 2 days.\n**Day 15:** Fly from Reykjavik to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Mykonos.\n**Day 17-20:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1039",
    "estimated_output_tokens": 3056,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Mykonos, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Dublin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 6 - 10.\n* City: Manchester, Fixed Schedule: Day 10 - 13.\n* City: Warsaw, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 10).\n |- The departure day of Valencia is Day 2. The arrival day of Venice is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Munich, Reykjavik, Dublin] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 6 - 10).\n   |- The departure day of Munich is Day 4. The arrival day of Venice is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Reykjavik, Dublin] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 6 - 10).\n     |- The departure day of Mykonos is Day 7. The arrival day of Venice is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 6 - 10).\n   |- The departure day of Dublin is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dublin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 10 - 13).\n     |- The departure day of Venice is Day 10. The arrival day of Manchester is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Valencia, Dublin, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 13 - 14).\n       |- The departure day of Manchester is Day 13. The arrival day of Warsaw is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Dublin, Venice, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Manchester to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Munich, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Warsaw to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Warsaw to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw, Munich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Munich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw, Munich, Mykonos].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Mykonos to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Munich to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Warsaw to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw, Reykjavik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Munich] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Reykjavik to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Reykjavik to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw, Reykjavik, Munich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Munich to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Valencia, Dublin, Venice, Manchester, Warsaw, Reykjavik, Munich, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Dublin.\n**Day 2-6:** Visit Dublin for 5 days.\n**Day 6:** Fly from Dublin to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Manchester.\n**Day 10-13:** Visit Manchester for 4 days.\n**Day 13:** Fly from Manchester to Warsaw.\n**Day 13-14:** Visit Warsaw for 2 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-15:** Visit Reykjavik for 2 days.\n**Day 15:** Fly from Reykjavik to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Mykonos.\n**Day 17-20:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Madrid**Venice**Manchester**Porto**Vienna**Zurich**Valencia",
    "ground_truth_durations": "3**3**5**5**2**5**4**4",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Madrid"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Venice",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You want to spend 5 days in Venice. You plan to stay in Valencia for 4 days. You would like to meet your friends at Valencia between day 21 and day 24 to tour together. You plan to stay in Florence for 3 days. You want to spend 3 days in Madrid. You want to spend 2 days in Porto. You want to meet a friend in Porto between day 13 and day 14. You would like to visit Vienna for 5 days. You plan to visit relatives in Vienna between day 14 and day 18. You would like to visit Manchester for 5 days.\n\nHere are the cities that have direct flights:\nFlorence and Madrid, Madrid and Vienna, Venice and Vienna, Porto and Valencia, Porto and Vienna, Porto and Zurich, Madrid and Valencia, Madrid and Zurich, Venice and Zurich, Madrid and Manchester, Madrid and Venice, Manchester and Porto, Vienna and Valencia, Manchester and Zurich, Madrid and Porto, Vienna and Zurich, Zurich and Valencia, Florence and Vienna, from Zurich to Florence, Manchester and Vienna, Venice and Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You want to spend 5 days in Venice. You plan to stay in Valencia for 4 days. You would like to meet your friends at Valencia between day 21 and day 24 to tour together. You plan to stay in Florence for 3 days. You want to spend 3 days in Madrid. You want to spend 2 days in Porto. You want to meet a friend in Porto between day 13 and day 14. You would like to visit Vienna for 5 days. You plan to visit relatives in Vienna between day 14 and day 18. You would like to visit Manchester for 5 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Madrid, from Madrid to Vienna, from Venice to Vienna, from Porto to Valencia, from Porto to Vienna, from Porto to Zurich, from Madrid to Valencia, from Madrid to Zurich, from Venice to Zurich, from Madrid to Manchester, from Madrid to Venice, from Manchester to Porto, from Vienna to Valencia, from Manchester to Zurich, from Madrid to Porto, from Vienna to Zurich, from Zurich to Valencia, from Florence to Vienna, from Zurich to Florence, from Manchester to Vienna, from Venice to Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Vienna.\n**Day 14-18:** Visit Vienna for 5 days.\n**Day 18:** Fly from Vienna to Zurich.\n**Day 18-21:** Visit Zurich for 4 days.\n**Day 21:** Fly from Zurich to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_1040",
    "estimated_output_tokens": 5932,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Florence, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Manchester, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 13 - 14.\n* City: Vienna, Fixed Schedule: Day 14 - 18.\n* City: Valencia, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Venice, Florence, Madrid, Manchester] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 13 - 14).\n |- The departure day of Zurich is Day 4. The arrival day of Porto is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Florence, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 13 - 14).\n   |- The departure day of Florence is Day 6. The arrival day of Porto is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Florence].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Madrid, Manchester] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Florence to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Florence to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 13 - 14).\n     |- The departure day of Madrid is Day 8. The arrival day of Porto is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Florence, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Manchester] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Madrid to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 13 - 14).\n       |- The departure day of Venice is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Zurich, Florence, Madrid, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Venice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 13 - 14).\n         |- The departure day of Manchester is Day 16. The arrival day of Porto is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Madrid to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 13 - 14).\n       |- The departure day of Manchester is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Zurich, Florence, Madrid, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Manchester to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Florence to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 13 - 14).\n |- The departure day of Venice is Day 5. The arrival day of Porto is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 13 - 14).\n   |- The departure day of Zurich is Day 8. The arrival day of Porto is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Venice, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Madrid, Manchester] and explore these options in order.\n     |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 13 - 14).\n     |- The departure day of Florence is Day 10. The arrival day of Porto is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Zurich, Florence].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Manchester] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Florence to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 13 - 14).\n       |- The departure day of Madrid is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Venice, Zurich, Florence, Madrid].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Madrid to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 13 - 14).\n         |- The departure day of Manchester is Day 16. The arrival day of Porto is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Florence to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Zurich to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Zurich to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 13 - 14).\n   |- The departure day of Manchester is Day 9. The arrival day of Porto is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, Manchester].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Madrid] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Manchester to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 13 - 14).\n     |- The departure day of Zurich is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Venice, Manchester, Zurich].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n       |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 13 - 14).\n       |- The departure day of Florence is Day 14. The arrival day of Porto is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Zurich to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Manchester to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Manchester to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 13 - 14).\n |- The departure day of Florence is Day 3. The arrival day of Porto is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Venice, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 13 - 14).\n   |- The departure day of Madrid is Day 5. The arrival day of Porto is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Venice, Manchester] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 13 - 14).\n     |- The departure day of Zurich is Day 8. The arrival day of Porto is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Madrid, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Manchester] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 13 - 14).\n     |- The departure day of Venice is Day 9. The arrival day of Porto is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Madrid, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Manchester] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 13 - 14).\n       |- The departure day of Zurich is Day 12. The arrival day of Porto is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Madrid, Venice, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Zurich to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 13 - 14).\n       |- The departure day of Manchester is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Florence, Madrid, Venice, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Manchester to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 14 - 18).\n         |- The departure day of Porto is Day 14. The arrival day of Vienna is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Madrid, Venice, Manchester, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Porto to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 21 - 24).\n           |- The departure day of Vienna is Day 18. The arrival day of Valencia is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Florence, Madrid, Venice, Manchester, Porto, Vienna].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Vienna to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Valencia (Day 21 - 24).\n             |- The departure day of Zurich is Day 21. The arrival day of Valencia is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Madrid, Venice, Manchester, Porto, Vienna, Zurich].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Zurich to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Florence, Madrid, Venice, Manchester, Porto, Vienna, Zurich, Valencia].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Madrid.\n**Day 3-5:** Visit Madrid for 3 days.\n**Day 5:** Fly from Madrid to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Vienna.\n**Day 14-18:** Visit Vienna for 5 days.\n**Day 18:** Fly from Vienna to Zurich.\n**Day 18-21:** Visit Zurich for 4 days.\n**Day 21:** Fly from Zurich to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Valencia**Zurich**Budapest**Reykjavik**Athens**Brussels**Florence",
    "ground_truth_durations": "2**3**3**3**2**5**2**3",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Brussels"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Budapest",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You would like to meet your friends at Athens between day 9 and day 13 to tour together. You would like to visit Zurich for 3 days. You plan to stay in Brussels for 2 days. You have to attend a workshop in Brussels between day 13 and day 14. You plan to stay in Budapest for 3 days. You would like to visit Lyon for 2 days. You would like to visit Florence for 3 days. During day 14 and day 16, you have to attend a conference in Florence. You plan to stay in Valencia for 3 days. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nAthens and Brussels, Zurich and Athens, Brussels and Florence, Budapest and Reykjavik, Zurich and Budapest, Zurich and Brussels, from Zurich to Florence, from Valencia to Athens, Valencia and Zurich, Reykjavik and Brussels, Lyon and Valencia, Lyon and Brussels, Zurich and Reykjavik, Valencia and Brussels, from Reykjavik to Athens, Budapest and Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You would like to meet your friends at Athens between day 9 and day 13 to tour together. You would like to visit Zurich for 3 days. You plan to stay in Brussels for 2 days. You have to attend a workshop in Brussels between day 13 and day 14. You plan to stay in Budapest for 3 days. You would like to visit Lyon for 2 days. You would like to visit Florence for 3 days. During day 14 and day 16, you have to attend a conference in Florence. You plan to stay in Valencia for 3 days. You want to spend 2 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Athens to Brussels, from Zurich to Athens, from Brussels to Florence, from Budapest to Reykjavik, from Zurich to Budapest, from Zurich to Brussels, from Zurich to Florence, from Valencia to Athens, from Valencia to Zurich, from Reykjavik to Brussels, from Lyon to Valencia, from Lyon to Brussels, from Zurich to Reykjavik, from Valencia to Brussels, from Reykjavik to Athens, from Budapest to Brussels.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Valencia.\n**Day 2-4:** Visit Valencia for 3 days.\n**Day 4:** Fly from Valencia to Zurich.\n**Day 4-6:** Visit Zurich for 3 days.\n**Day 6:** Fly from Zurich to Budapest.\n**Day 6-8:** Visit Budapest for 3 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Athens.\n**Day 9-13:** Visit Athens for 5 days.\n**Day 13:** Fly from Athens to Brussels.\n**Day 13-14:** Visit Brussels for 2 days.\n**Day 14:** Fly from Brussels to Florence.\n**Day 14-16:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1041",
    "estimated_output_tokens": 4161,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Zurich, Duration: 3 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Budapest, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 9 - 13.\n* City: Brussels, Fixed Schedule: Day 13 - 14.\n* City: Florence, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Budapest, Lyon, Valencia, Reykjavik] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 13).\n |- The departure day of Zurich is Day 3. The arrival day of Athens is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Lyon, Valencia, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Zurich to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 9 - 13).\n   |- The departure day of Budapest is Day 5. The arrival day of Athens is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Budapest to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 9 - 13).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Athens is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Zurich, Budapest, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Reykjavik to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Zurich to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 9 - 13).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Lyon, Valencia] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 13).\n |- The departure day of Budapest is Day 3. The arrival day of Athens is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon, Valencia, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Budapest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Budapest to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 9 - 13).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Budapest, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon, Valencia] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 13).\n |- The departure day of Lyon is Day 2. The arrival day of Athens is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Budapest, Valencia, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 9 - 13).\n   |- The departure day of Valencia is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Budapest, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 9 - 13).\n     |- The departure day of Zurich is Day 6. The arrival day of Athens is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Valencia, Zurich].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Zurich to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Athens (Day 9 - 13).\n       |- The departure day of Budapest is Day 8. The arrival day of Athens is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Lyon, Valencia, Zurich, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Budapest to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 9 - 13).\n         |- The departure day of Reykjavik is Day 9. The arrival day of Athens is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Lyon, Valencia, Zurich, Budapest, Reykjavik].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 13 - 14).\n           |- The departure day of Athens is Day 13. The arrival day of Brussels is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Lyon, Valencia, Zurich, Budapest, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Athens to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 14 - 16).\n             |- The departure day of Brussels is Day 14. The arrival day of Florence is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Lyon, Valencia, Zurich, Budapest, Reykjavik, Athens, Brussels].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Brussels to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Lyon, Valencia, Zurich, Budapest, Reykjavik, Athens, Brussels, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Valencia.\n**Day 2-4:** Visit Valencia for 3 days.\n**Day 4:** Fly from Valencia to Zurich.\n**Day 4-6:** Visit Zurich for 3 days.\n**Day 6:** Fly from Zurich to Budapest.\n**Day 6-8:** Visit Budapest for 3 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Athens.\n**Day 9-13:** Visit Athens for 5 days.\n**Day 13:** Fly from Athens to Brussels.\n**Day 13-14:** Visit Brussels for 2 days.\n**Day 14:** Fly from Brussels to Florence.\n**Day 14-16:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Reykjavik**Berlin**Frankfurt**Stuttgart**Hamburg**Geneva**Santorini",
    "ground_truth_durations": "5**5**3**3**3**3**4**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 11 and day 13. You would like to visit Santorini for 4 days. You plan to stay in Geneva for 4 days. You want to spend 5 days in Budapest. You would like to visit Stuttgart for 3 days. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 5 and day 9. You would like to visit Hamburg for 3 days. You plan to stay in Berlin for 3 days. During day 9 and day 11, you have to attend a conference in Berlin.\n\nHere are the cities that have direct flights:\nBerlin and Geneva, Berlin and Stuttgart, Budapest and Berlin, Budapest and Stuttgart, Frankfurt and Stuttgart, from Hamburg to Geneva, Reykjavik and Berlin, Budapest and Reykjavik, Berlin and Frankfurt, Frankfurt and Hamburg, from Reykjavik to Stuttgart, Reykjavik and Frankfurt, Budapest and Frankfurt, Frankfurt and Geneva, Budapest and Hamburg, Budapest and Geneva, Geneva and Santorini, Stuttgart and Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 11 and day 13. You would like to visit Santorini for 4 days. You plan to stay in Geneva for 4 days. You want to spend 5 days in Budapest. You would like to visit Stuttgart for 3 days. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 5 and day 9. You would like to visit Hamburg for 3 days. You plan to stay in Berlin for 3 days. During day 9 and day 11, you have to attend a conference in Berlin.\n\nHere are the cities that have direct flights:\nfrom Berlin to Geneva, from Berlin to Stuttgart, from Budapest to Berlin, from Budapest to Stuttgart, from Frankfurt to Stuttgart, from Hamburg to Geneva, from Reykjavik to Berlin, from Budapest to Reykjavik, from Berlin to Frankfurt, from Frankfurt to Hamburg, from Reykjavik to Stuttgart, from Reykjavik to Frankfurt, from Budapest to Frankfurt, from Frankfurt to Geneva, from Budapest to Hamburg, from Budapest to Geneva, from Geneva to Santorini, from Stuttgart to Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.\n**Day 15:** Fly from Stuttgart to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-23:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1042",
    "estimated_output_tokens": 3576,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Santorini, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Hamburg, Duration: 3 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 9.\n* City: Berlin, Fixed Schedule: Day 9 - 11.\n* City: Frankfurt, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Geneva, Budapest, Stuttgart, Hamburg] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 9).\n |- The departure day of Santorini is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Budapest, Stuttgart, Hamburg] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Santorini to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 9).\n |- The departure day of Geneva is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Budapest, Stuttgart, Hamburg] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 9).\n   |- The departure day of Santorini is Day 7. The arrival day of Reykjavik is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 9).\n |- The departure day of Budapest is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 9 - 11).\n   |- The departure day of Reykjavik is Day 9. The arrival day of Berlin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Budapest, Reykjavik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Reykjavik to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 11 - 13).\n     |- The departure day of Berlin is Day 11. The arrival day of Frankfurt is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Reykjavik, Berlin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Frankfurt.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Berlin to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva, Stuttgart, Hamburg] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Frankfurt to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Frankfurt to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Stuttgart, Hamburg] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Geneva to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Geneva, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Hamburg] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Geneva to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Geneva to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Frankfurt to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Stuttgart].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva, Hamburg] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Stuttgart to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Stuttgart to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Stuttgart to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Stuttgart, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Hamburg to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Hamburg to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Stuttgart, Hamburg, Geneva].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Geneva to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Budapest, Reykjavik, Berlin, Frankfurt, Stuttgart, Hamburg, Geneva, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Stuttgart.\n**Day 13-15:** Visit Stuttgart for 3 days.\n**Day 15:** Fly from Stuttgart to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-23:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Vienna**Krakow**Valencia**Porto**Dublin**Riga**Vilnius",
    "ground_truth_durations": "5**2**5**3**3**2**2**2",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vienna",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Vienna for 2 days. During day 5 and day 6, you have to attend a conference in Vienna. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 1 and day 5. You want to spend 5 days in Krakow. From day 6 to day 10, there is a annual show you want to attend in Krakow. You plan to stay in Vilnius for 2 days. You are going to attend a wedding in Vilnius between day 16 and day 17. You want to spend 2 days in Riga. You plan to stay in Dublin for 2 days. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nVienna and Dublin, Valencia and Dublin, Vienna and Krakow, from Riga to Vilnius, Vienna and Porto, Copenhagen and Valencia, Copenhagen and Vilnius, Copenhagen and Krakow, Porto and Dublin, Copenhagen and Riga, Dublin and Riga, Copenhagen and Vienna, Copenhagen and Dublin, Krakow and Dublin, Vienna and Riga, Vienna and Vilnius, Krakow and Valencia, Valencia and Porto, Copenhagen and Porto, from Krakow to Vilnius, Vienna and Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You would like to visit Vienna for 2 days. During day 5 and day 6, you have to attend a conference in Vienna. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 1 and day 5. You want to spend 5 days in Krakow. From day 6 to day 10, there is a annual show you want to attend in Krakow. You plan to stay in Vilnius for 2 days. You are going to attend a wedding in Vilnius between day 16 and day 17. You want to spend 2 days in Riga. You plan to stay in Dublin for 2 days. You want to spend 3 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Vienna to Dublin, from Valencia to Dublin, from Vienna to Krakow, from Riga to Vilnius, from Vienna to Porto, from Copenhagen to Valencia, from Copenhagen to Vilnius, from Copenhagen to Krakow, from Porto to Dublin, from Copenhagen to Riga, from Dublin to Riga, from Copenhagen to Vienna, from Copenhagen to Dublin, from Krakow to Dublin, from Vienna to Riga, from Vienna to Vilnius, from Krakow to Valencia, from Valencia to Porto, from Copenhagen to Porto, from Krakow to Vilnius, from Vienna to Valencia.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Krakow.\n**Day 6-10:** Visit Krakow for 5 days.\n**Day 10:** Fly from Krakow to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1043",
    "estimated_output_tokens": 2691,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Riga, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Fixed Schedule: Day 5 - 6.\n* City: Krakow, Fixed Schedule: Day 6 - 10.\n* City: Vilnius, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 6).\n |- The departure day of Copenhagen is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Copenhagen to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 6 - 10).\n   |- The departure day of Vienna is Day 6. The arrival day of Krakow is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vienna to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 16 - 17).\n     |- The departure day of Krakow is Day 10. The arrival day of Vilnius is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Vienna, Krakow].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Riga, Dublin, Porto] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 16 - 17).\n       |- The departure day of Valencia is Day 12. The arrival day of Vilnius is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Vienna, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Dublin, Porto] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Valencia to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Valencia to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 17).\n         |- The departure day of Dublin is Day 13. The arrival day of Vilnius is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Dublin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Porto] and explore these options in order.\n           |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dublin to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 16 - 17).\n           |- The departure day of Riga is Day 14. The arrival day of Vilnius is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Dublin, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Riga to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Dublin to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 17).\n         |- The departure day of Porto is Day 14. The arrival day of Vilnius is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Dublin] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Porto to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Porto to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 16 - 17).\n           |- The departure day of Dublin is Day 15. The arrival day of Vilnius is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Porto, Dublin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Dublin to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 16 - 17).\n             |- The departure day of Riga is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Porto, Dublin, Riga].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Riga to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Copenhagen, Vienna, Krakow, Valencia, Porto, Dublin, Riga, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Vienna.\n**Day 5-6:** Visit Vienna for 2 days.\n**Day 6:** Fly from Vienna to Krakow.\n**Day 6-10:** Visit Krakow for 5 days.\n**Day 10:** Fly from Krakow to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Dubrovnik**Madrid**Mykonos**Amsterdam**Athens**Brussels**Reykjavik",
    "ground_truth_durations": "2**4**5**3**2**4**5**4",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Amsterdam. During day 11 and day 12, you have to attend a conference in Amsterdam. You would like to visit Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 2 and day 5. You want to spend 5 days in Madrid. You plan to stay in Reykjavik for 4 days. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 12 and day 15. You would like to visit Brussels for 5 days. You would like to visit Stockholm for 2 days. You want to spend 3 days in Mykonos.\n\nHere are the cities that have direct flights:\nStockholm and Madrid, Madrid and Amsterdam, Stockholm and Reykjavik, Mykonos and Amsterdam, Amsterdam and Reykjavik, Dubrovnik and Madrid, Brussels and Reykjavik, Madrid and Athens, Stockholm and Athens, from Reykjavik to Athens, Amsterdam and Athens, Madrid and Brussels, Dubrovnik and Amsterdam, Stockholm and Dubrovnik, Athens and Brussels, Dubrovnik and Athens, from Reykjavik to Madrid, Madrid and Mykonos, Mykonos and Athens, Stockholm and Brussels, Stockholm and Amsterdam.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Amsterdam. During day 11 and day 12, you have to attend a conference in Amsterdam. You would like to visit Dubrovnik for 4 days. You are going to attend a wedding in Dubrovnik between day 2 and day 5. You want to spend 5 days in Madrid. You plan to stay in Reykjavik for 4 days. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 12 and day 15. You would like to visit Brussels for 5 days. You would like to visit Stockholm for 2 days. You want to spend 3 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Madrid, from Madrid to Amsterdam, from Stockholm to Reykjavik, from Mykonos to Amsterdam, from Amsterdam to Reykjavik, from Dubrovnik to Madrid, from Brussels to Reykjavik, from Madrid to Athens, from Stockholm to Athens, from Reykjavik to Athens, from Amsterdam to Athens, from Madrid to Brussels, from Dubrovnik to Amsterdam, from Stockholm to Dubrovnik, from Athens to Brussels, from Dubrovnik to Athens, from Reykjavik to Madrid, from Madrid to Mykonos, from Mykonos to Athens, from Stockholm to Brussels, from Stockholm to Amsterdam.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Amsterdam.\n**Day 11-12:** Visit Amsterdam for 2 days.\n**Day 12:** Fly from Amsterdam to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Reykjavik.\n**Day 19-22:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1044",
    "estimated_output_tokens": 2588,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Madrid, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Brussels, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 2 - 5.\n* City: Amsterdam, Fixed Schedule: Day 11 - 12.\n* City: Athens, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, Reykjavik, Brussels, Stockholm, Mykonos] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 5).\n |- The departure day of Madrid is Day 5. The arrival day of Dubrovnik is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 5).\n |- The departure day of Reykjavik is Day 4. The arrival day of Dubrovnik is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 5).\n |- The departure day of Brussels is Day 5. The arrival day of Dubrovnik is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 5).\n |- The departure day of Stockholm is Day 2. The arrival day of Dubrovnik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Amsterdam (Day 11 - 12).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Amsterdam is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Reykjavik, Brussels, Mykonos] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dubrovnik to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 11 - 12).\n     |- The departure day of Madrid is Day 9. The arrival day of Amsterdam is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Dubrovnik, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels, Mykonos] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Madrid to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 11 - 12).\n       |- The departure day of Brussels is Day 13. The arrival day of Amsterdam is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 11 - 12).\n       |- The departure day of Mykonos is Day 11. The arrival day of Amsterdam is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stockholm, Dubrovnik, Madrid, Mykonos].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Mykonos to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Athens (Day 12 - 15).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Athens is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stockholm, Dubrovnik, Madrid, Mykonos, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Stockholm, Dubrovnik, Madrid, Mykonos, Amsterdam, Athens].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Athens to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Brussels from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Athens to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Stockholm, Dubrovnik, Madrid, Mykonos, Amsterdam, Athens, Brussels].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Brussels to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Stockholm, Dubrovnik, Madrid, Mykonos, Amsterdam, Athens, Brussels, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Amsterdam.\n**Day 11-12:** Visit Amsterdam for 2 days.\n**Day 12:** Fly from Amsterdam to Athens.\n**Day 12-15:** Visit Athens for 4 days.\n**Day 15:** Fly from Athens to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Reykjavik.\n**Day 19-22:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Berlin**Milan**Seville**Porto**Stuttgart**London**Geneva",
    "ground_truth_durations": "3**2**4**2**2**2**3**5",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "London"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Milan",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You plan to stay in London for 3 days. You want to spend 2 days in Seville. You want to spend 2 days in Porto. You want to spend 5 days in Geneva. You would like to meet your friends at Geneva between day 12 and day 16 to tour together. You would like to visit Berlin for 2 days. You are going to attend a wedding in Berlin between day 3 and day 4. You would like to visit Stuttgart for 2 days. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 4 and day 7.\n\nHere are the cities that have direct flights:\nBerlin and London, London and Geneva, Riga and Milan, Milan and Stuttgart, Seville and Porto, Porto and Stuttgart, Stuttgart and London, Porto and Geneva, Milan and Porto, Berlin and Stuttgart, Milan and London, Berlin and Geneva, Berlin and Porto, Berlin and Milan, Riga and Berlin, Milan and Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 3 days. You plan to stay in London for 3 days. You want to spend 2 days in Seville. You want to spend 2 days in Porto. You want to spend 5 days in Geneva. You would like to meet your friends at Geneva between day 12 and day 16 to tour together. You would like to visit Berlin for 2 days. You are going to attend a wedding in Berlin between day 3 and day 4. You would like to visit Stuttgart for 2 days. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 4 and day 7.\n\nHere are the cities that have direct flights:\nfrom Berlin to London, from London to Geneva, from Riga to Milan, from Milan to Stuttgart, from Seville to Porto, from Porto to Stuttgart, from Stuttgart to London, from Porto to Geneva, from Milan to Porto, from Berlin to Stuttgart, from Milan to London, from Berlin to Geneva, from Berlin to Porto, from Berlin to Milan, from Riga to Berlin, from Milan to Seville.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to London.\n**Day 10-12:** Visit London for 3 days.\n**Day 12:** Fly from London to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.",
    "id": "trip_planning_example_1045",
    "estimated_output_tokens": 2459,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: London, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stuttgart, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 4.\n* City: Milan, Fixed Schedule: Day 4 - 7.\n* City: Geneva, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: London, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, London, Seville, Porto, Stuttgart] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 4).\n |- The departure day of Riga is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 7).\n   |- The departure day of Berlin is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Berlin to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 12 - 16).\n     |- The departure day of Milan is Day 7. The arrival day of Geneva is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Berlin, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Seville, Porto, Stuttgart] and explore these options in order.\n       |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 12 - 16).\n       |- The departure day of London is Day 9. The arrival day of Geneva is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Riga, Berlin, Milan, London].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Porto, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from London to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from London to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from London to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 12 - 16).\n       |- The departure day of Seville is Day 8. The arrival day of Geneva is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Riga, Berlin, Milan, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Porto, Stuttgart] and explore these options in order.\n         |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Seville to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Seville to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 12 - 16).\n         |- The departure day of Porto is Day 9. The arrival day of Geneva is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Riga, Berlin, Milan, Seville, Porto].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Stuttgart] and explore these options in order.\n           |- Try arranging to visit London from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Porto to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Porto to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 12 - 16).\n           |- The departure day of Stuttgart is Day 10. The arrival day of Geneva is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Riga, Berlin, Milan, Seville, Porto, Stuttgart].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n             |- Try arranging to visit London from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n             |- Check for direct flight from Stuttgart to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 12 - 16).\n             |- The departure day of London is Day 12. The arrival day of Geneva is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Riga, Berlin, Milan, Seville, Porto, Stuttgart, London].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- Yes. The city with an arrival day of Day 12 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from London to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Riga, Berlin, Milan, Seville, Porto, Stuttgart, London, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to London.\n**Day 10-12:** Visit London for 3 days.\n**Day 12:** Fly from London to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Madrid**Dublin**Frankfurt**Tallinn**Warsaw**Nice**Mykonos",
    "ground_truth_durations": "4**4**5**5**2**2**4**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Madrid"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Tallinn",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. From day 15 to day 16, there is a annual show you want to attend in Tallinn. You would like to visit Dublin for 5 days. You want to meet a friend in Dublin between day 7 and day 11. You plan to stay in Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 1 and day 4. You want to spend 5 days in Frankfurt. You would like to visit Warsaw for 2 days. You want to spend 4 days in Madrid. You would like to meet your friends at Madrid between day 4 and day 7 to tour together. You would like to visit Nice for 4 days. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Madrid, Dublin and Frankfurt, Frankfurt and Nice, Frankfurt and Tallinn, Lisbon and Frankfurt, Madrid and Warsaw, Lisbon and Nice, Madrid and Nice, Lisbon and Dublin, Madrid and Frankfurt, Nice and Mykonos, Lisbon and Warsaw, Dublin and Tallinn, Warsaw and Nice, Dublin and Nice, Madrid and Dublin, Frankfurt and Warsaw, Madrid and Mykonos, Tallinn and Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Tallinn. From day 15 to day 16, there is a annual show you want to attend in Tallinn. You would like to visit Dublin for 5 days. You want to meet a friend in Dublin between day 7 and day 11. You plan to stay in Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 1 and day 4. You want to spend 5 days in Frankfurt. You would like to visit Warsaw for 2 days. You want to spend 4 days in Madrid. You would like to meet your friends at Madrid between day 4 and day 7 to tour together. You would like to visit Nice for 4 days. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Madrid, from Dublin to Frankfurt, from Frankfurt to Nice, from Frankfurt to Tallinn, from Lisbon to Frankfurt, from Madrid to Warsaw, from Lisbon to Nice, from Madrid to Nice, from Lisbon to Dublin, from Madrid to Frankfurt, from Nice to Mykonos, from Lisbon to Warsaw, from Dublin to Tallinn, from Warsaw to Nice, from Dublin to Nice, from Madrid to Dublin, from Frankfurt to Warsaw, from Madrid to Mykonos, from Tallinn to Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Madrid.\n**Day 4-7:** Visit Madrid for 4 days.\n**Day 7:** Fly from Madrid to Dublin.\n**Day 7-11:** Visit Dublin for 5 days.\n**Day 11:** Fly from Dublin to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Warsaw.\n**Day 16-17:** Visit Warsaw for 2 days.\n**Day 17:** Fly from Warsaw to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to Mykonos.\n**Day 20-21:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1046",
    "estimated_output_tokens": 1931,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 4.\n* City: Madrid, Fixed Schedule: Day 4 - 7.\n* City: Dublin, Fixed Schedule: Day 7 - 11.\n* City: Tallinn, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 4 - 7).\n |- The departure day of Lisbon is Day 4. The arrival day of Madrid is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lisbon to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 7 - 11).\n   |- The departure day of Madrid is Day 7. The arrival day of Dublin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lisbon, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Madrid to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 15 - 16).\n     |- The departure day of Dublin is Day 11. The arrival day of Tallinn is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lisbon, Madrid, Dublin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Warsaw, Nice, Mykonos] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dublin to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 15 - 16).\n       |- The departure day of Frankfurt is Day 15. The arrival day of Tallinn is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Lisbon, Madrid, Dublin, Frankfurt].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Madrid, Dublin, Frankfurt, Tallinn].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Nice, Mykonos] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Tallinn to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lisbon, Madrid, Dublin, Frankfurt, Tallinn, Warsaw].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Mykonos] and explore these options in order.\n             |- Try arranging to visit Nice from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Warsaw to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lisbon, Madrid, Dublin, Frankfurt, Tallinn, Warsaw, Nice].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Nice to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Lisbon, Madrid, Dublin, Frankfurt, Tallinn, Warsaw, Nice, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Madrid.\n**Day 4-7:** Visit Madrid for 4 days.\n**Day 7:** Fly from Madrid to Dublin.\n**Day 7-11:** Visit Dublin for 5 days.\n**Day 11:** Fly from Dublin to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Warsaw.\n**Day 16-17:** Visit Warsaw for 2 days.\n**Day 17:** Fly from Warsaw to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to Mykonos.\n**Day 20-21:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Berlin**Rome**Madrid**Split**Zurich**Bucharest**Lisbon",
    "ground_truth_durations": "4**2**5**5**3**5**2**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 4,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Zurich",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Rome. During day 5 and day 9, you have to attend a conference in Rome. You plan to stay in Krakow for 4 days. You would like to visit Bucharest for 2 days. You are going to attend a wedding in Bucharest between day 19 and day 20. You plan to stay in Lisbon for 5 days. You would like to visit Split for 3 days. You plan to stay in Madrid for 5 days. You would like to meet your friends at Madrid between day 9 and day 13 to tour together. You would like to visit Zurich for 5 days. You want to spend 2 days in Berlin. You have to attend a workshop in Berlin between day 4 and day 5.\n\nHere are the cities that have direct flights:\nKrakow and Split, Split and Zurich, Berlin and Madrid, Berlin and Lisbon, Madrid and Lisbon, Madrid and Split, Zurich and Lisbon, Rome and Zurich, Berlin and Rome, Krakow and Lisbon, Rome and Split, Bucharest and Lisbon, Rome and Madrid, Berlin and Zurich, Krakow and Zurich, Rome and Lisbon, Rome and Bucharest, Berlin and Split, Krakow and Berlin, Madrid and Bucharest, Madrid and Zurich, Zurich and Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Rome. During day 5 and day 9, you have to attend a conference in Rome. You plan to stay in Krakow for 4 days. You would like to visit Bucharest for 2 days. You are going to attend a wedding in Bucharest between day 19 and day 20. You plan to stay in Lisbon for 5 days. You would like to visit Split for 3 days. You plan to stay in Madrid for 5 days. You would like to meet your friends at Madrid between day 9 and day 13 to tour together. You would like to visit Zurich for 5 days. You want to spend 2 days in Berlin. You have to attend a workshop in Berlin between day 4 and day 5.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Split to Zurich, from Berlin to Madrid, from Berlin to Lisbon, from Madrid to Lisbon, from Madrid to Split, from Zurich to Lisbon, from Rome to Zurich, from Berlin to Rome, from Krakow to Lisbon, from Rome to Split, from Bucharest to Lisbon, from Rome to Madrid, from Berlin to Zurich, from Krakow to Zurich, from Rome to Lisbon, from Rome to Bucharest, from Berlin to Split, from Krakow to Berlin, from Madrid to Bucharest, from Madrid to Zurich, from Zurich to Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Zurich.\n**Day 15-19:** Visit Zurich for 5 days.\n**Day 19:** Fly from Zurich to Bucharest.\n**Day 19-20:** Visit Bucharest for 2 days.\n**Day 20:** Fly from Bucharest to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.",
    "id": "trip_planning_example_1047",
    "estimated_output_tokens": 2350,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Duration: 4 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Lisbon, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Zurich, Duration: 5 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 4 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 9.\n* City: Madrid, Fixed Schedule: Day 9 - 13.\n* City: Bucharest, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Lisbon, Split, Zurich] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 4 - 5).\n |- The departure day of Krakow is Day 4. The arrival day of Berlin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 9).\n   |- The departure day of Berlin is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Berlin to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 9 - 13).\n     |- The departure day of Rome is Day 9. The arrival day of Madrid is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Krakow, Berlin, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Rome to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 19 - 20).\n       |- The departure day of Madrid is Day 13. The arrival day of Bucharest is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Berlin, Rome, Madrid].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Split, Zurich] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Madrid to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 19 - 20).\n         |- The departure day of Lisbon is Day 17. The arrival day of Bucharest is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Krakow, Berlin, Rome, Madrid, Lisbon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Zurich] and explore these options in order.\n           |- Try arranging to visit Split from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Lisbon to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Lisbon to Zurich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Madrid to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 19 - 20).\n         |- The departure day of Split is Day 15. The arrival day of Bucharest is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Krakow, Berlin, Rome, Madrid, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Zurich] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Split to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Split to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Bucharest (Day 19 - 20).\n           |- The departure day of Zurich is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Krakow, Berlin, Rome, Madrid, Split, Zurich].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Zurich to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Berlin, Rome, Madrid, Split, Zurich, Bucharest].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Bucharest to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Krakow, Berlin, Rome, Madrid, Split, Zurich, Bucharest, Lisbon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Zurich.\n**Day 15-19:** Visit Zurich for 5 days.\n**Day 19:** Fly from Zurich to Bucharest.\n**Day 19-20:** Visit Bucharest for 2 days.\n**Day 20:** Fly from Bucharest to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Barcelona**Istanbul**Stuttgart**Lisbon**Bucharest**Munich**Dubrovnik",
    "ground_truth_durations": "5**3**2**4**4**4**2**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 8 and day 11. You want to spend 4 days in Bucharest. You would like to visit Lisbon for 4 days. You would like to meet your friends at Lisbon between day 11 and day 14 to tour together. You would like to visit Madrid for 5 days. You have to attend a workshop in Madrid between day 1 and day 5. You would like to visit Munich for 2 days. You would like to visit Dubrovnik for 3 days. You want to spend 2 days in Istanbul. You would like to visit Barcelona for 3 days. From day 5 to day 7, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nMadrid and Bucharest, Istanbul and Bucharest, Barcelona and Bucharest, Istanbul and Munich, Istanbul and Lisbon, Stuttgart and Lisbon, Madrid and Munich, from Dubrovnik to Istanbul, Madrid and Dubrovnik, Barcelona and Stuttgart, Bucharest and Munich, Barcelona and Istanbul, Madrid and Lisbon, Munich and Dubrovnik, Istanbul and Stuttgart, Barcelona and Munich, Madrid and Barcelona, Barcelona and Lisbon, Lisbon and Munich, Barcelona and Dubrovnik, Madrid and Istanbul, Lisbon and Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 8 and day 11. You want to spend 4 days in Bucharest. You would like to visit Lisbon for 4 days. You would like to meet your friends at Lisbon between day 11 and day 14 to tour together. You would like to visit Madrid for 5 days. You have to attend a workshop in Madrid between day 1 and day 5. You would like to visit Munich for 2 days. You would like to visit Dubrovnik for 3 days. You want to spend 2 days in Istanbul. You would like to visit Barcelona for 3 days. From day 5 to day 7, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nfrom Madrid to Bucharest, from Istanbul to Bucharest, from Barcelona to Bucharest, from Istanbul to Munich, from Istanbul to Lisbon, from Stuttgart to Lisbon, from Madrid to Munich, from Dubrovnik to Istanbul, from Madrid to Dubrovnik, from Barcelona to Stuttgart, from Bucharest to Munich, from Barcelona to Istanbul, from Madrid to Lisbon, from Munich to Dubrovnik, from Istanbul to Stuttgart, from Barcelona to Munich, from Madrid to Barcelona, from Barcelona to Lisbon, from Lisbon to Munich, from Barcelona to Dubrovnik, from Madrid to Istanbul, from Lisbon to Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Stuttgart.\n**Day 8-11:** Visit Stuttgart for 4 days.\n**Day 11:** Fly from Stuttgart to Lisbon.\n**Day 11-14:** Visit Lisbon for 4 days.\n**Day 14:** Fly from Lisbon to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.\n**Day 17:** Fly from Bucharest to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1048",
    "estimated_output_tokens": 2405,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Bucharest, Duration: 4 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 7.\n* City: Stuttgart, Fixed Schedule: Day 8 - 11.\n* City: Lisbon, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Munich, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 7).\n |- The departure day of Madrid is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 8 - 11).\n   |- The departure day of Barcelona is Day 7. The arrival day of Stuttgart is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich, Dubrovnik, Istanbul] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Barcelona to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 8 - 11).\n     |- The departure day of Bucharest is Day 10. The arrival day of Stuttgart is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 8 - 11).\n     |- The departure day of Munich is Day 8. The arrival day of Stuttgart is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Barcelona, Munich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Munich to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Barcelona to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 8 - 11).\n     |- The departure day of Dubrovnik is Day 9. The arrival day of Stuttgart is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Barcelona to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 8 - 11).\n     |- The departure day of Istanbul is Day 8. The arrival day of Stuttgart is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Barcelona, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 11 - 14).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Lisbon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Barcelona, Istanbul, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stuttgart to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Barcelona, Istanbul, Stuttgart, Lisbon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Munich, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Lisbon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Madrid, Barcelona, Istanbul, Stuttgart, Lisbon, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Munich from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Bucharest to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Madrid, Barcelona, Istanbul, Stuttgart, Lisbon, Bucharest, Munich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Munich to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Madrid, Barcelona, Istanbul, Stuttgart, Lisbon, Bucharest, Munich, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Istanbul.\n**Day 7-8:** Visit Istanbul for 2 days.\n**Day 8:** Fly from Istanbul to Stuttgart.\n**Day 8-11:** Visit Stuttgart for 4 days.\n**Day 11:** Fly from Stuttgart to Lisbon.\n**Day 11-14:** Visit Lisbon for 4 days.\n**Day 14:** Fly from Lisbon to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.\n**Day 17:** Fly from Bucharest to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Prague**Florence**Lisbon**Berlin**Geneva**Valencia**Seville",
    "ground_truth_durations": "5**4**4**3**5**3**2**3",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Split",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You want to meet a friend in Berlin between day 13 and day 17. You plan to stay in Florence for 4 days. You would like to meet your friends at Florence between day 8 and day 11 to tour together. You want to spend 3 days in Lisbon. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 17 and day 19. You plan to stay in Prague for 4 days. You would like to visit Seville for 3 days. You want to spend 5 days in Split. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Seville, Berlin and Valencia, Geneva and Valencia, Lisbon and Geneva, Lisbon and Valencia, Prague and Valencia, Split and Geneva, Prague and Geneva, Lisbon and Berlin, Valencia and Seville, Split and Prague, Florence and Lisbon, Prague and Florence, Berlin and Geneva, Prague and Lisbon, Split and Berlin.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You want to meet a friend in Berlin between day 13 and day 17. You plan to stay in Florence for 4 days. You would like to meet your friends at Florence between day 8 and day 11 to tour together. You want to spend 3 days in Lisbon. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 17 and day 19. You plan to stay in Prague for 4 days. You would like to visit Seville for 3 days. You want to spend 5 days in Split. You would like to visit Valencia for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Seville, from Berlin to Valencia, from Geneva to Valencia, from Lisbon to Geneva, from Lisbon to Valencia, from Prague to Valencia, from Split to Geneva, from Prague to Geneva, from Lisbon to Berlin, from Valencia to Seville, from Split to Prague, from Florence to Lisbon, from Prague to Florence, from Berlin to Geneva, from Prague to Lisbon, from Split to Berlin.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Berlin.\n**Day 13-17:** Visit Berlin for 5 days.\n**Day 17:** Fly from Berlin to Geneva.\n**Day 17-19:** Visit Geneva for 3 days.\n**Day 19:** Fly from Geneva to Valencia.\n**Day 19-20:** Visit Valencia for 2 days.\n**Day 20:** Fly from Valencia to Seville.\n**Day 20-22:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1049",
    "estimated_output_tokens": 5483,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Lisbon, Duration: 3 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Prague, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 8 - 11.\n* City: Berlin, Fixed Schedule: Day 13 - 17.\n* City: Geneva, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Prague, Seville, Split, Valencia] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Lisbon is Day 3. The arrival day of Florence is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Seville, Split, Valencia] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 8 - 11).\n   |- The departure day of Seville is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lisbon, Seville].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Split, Valencia] and explore these options in order.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Seville to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Seville to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Seville to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 8 - 11).\n   |- The departure day of Valencia is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Seville, Split] and explore these options in order.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n     |- The departure day of Seville is Day 6. The arrival day of Florence is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lisbon, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Split] and explore these options in order.\n       |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Seville to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Seville to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Valencia to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Prague is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Seville, Split, Valencia] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Lisbon is Day 6. The arrival day of Florence is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Split, Valencia] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lisbon to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 8 - 11).\n     |- The departure day of Seville is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Lisbon, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Seville to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 8 - 11).\n     |- The departure day of Valencia is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Lisbon, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Split] and explore these options in order.\n       |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n       |- The departure day of Seville is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Valencia to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Prague to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Valencia is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Seville, Split] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Seville is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Split] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Seville to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Seville to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Seville is Day 3. The arrival day of Florence is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Prague, Split, Valencia] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Seville to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Split is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Prague, Seville, Valencia] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n   |- The departure day of Prague is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 13 - 17).\n     |- The departure day of Florence is Day 11. The arrival day of Berlin is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Seville, Valencia] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Florence to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 13 - 17).\n       |- The departure day of Lisbon is Day 13. The arrival day of Berlin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Prague, Florence, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 17 - 19).\n         |- The departure day of Berlin is Day 17. The arrival day of Geneva is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Split, Prague, Florence, Lisbon, Berlin].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Berlin to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Split, Prague, Florence, Lisbon, Berlin, Geneva].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Valencia] and explore these options in order.\n             |- Try arranging to visit Seville from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Geneva to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Geneva to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Split, Prague, Florence, Lisbon, Berlin, Geneva, Valencia].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Valencia to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Split, Prague, Florence, Lisbon, Berlin, Geneva, Valencia, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Berlin.\n**Day 13-17:** Visit Berlin for 5 days.\n**Day 17:** Fly from Berlin to Geneva.\n**Day 17-19:** Visit Geneva for 3 days.\n**Day 19:** Fly from Geneva to Valencia.\n**Day 19-20:** Visit Valencia for 2 days.\n**Day 20:** Fly from Valencia to Seville.\n**Day 20-22:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Geneva**Nice**Berlin**Reykjavik**Athens**Dublin**Seville",
    "ground_truth_durations": "3**2**4**5**3**3**5**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Nice"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Geneva",
        "Athens"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Athens",
        "Dublin"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Berlin",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You plan to stay in Nice for 4 days. You would like to visit Athens for 3 days. You are going to attend a wedding in Athens between day 13 and day 15. You plan to stay in Berlin for 5 days. You want to meet a friend in Berlin between day 7 and day 11. You want to spend 2 days in Geneva. You want to spend 5 days in Dublin. You have to attend a workshop in Dublin between day 15 and day 19. You plan to stay in Dubrovnik for 3 days. You would like to visit Seville for 2 days.\n\nHere are the cities that have direct flights:\nGeneva and Nice, Nice and Athens, Dublin and Seville, Geneva and Athens, Dubrovnik and Geneva, from Reykjavik to Athens, Geneva and Berlin, Berlin and Reykjavik, Dubrovnik and Dublin, Nice and Reykjavik, Nice and Dublin, Nice and Berlin, Berlin and Dublin, Athens and Dublin, Geneva and Dublin, Dubrovnik and Athens, Reykjavik and Dublin, Berlin and Athens.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 3 days. You plan to stay in Nice for 4 days. You would like to visit Athens for 3 days. You are going to attend a wedding in Athens between day 13 and day 15. You plan to stay in Berlin for 5 days. You want to meet a friend in Berlin between day 7 and day 11. You want to spend 2 days in Geneva. You want to spend 5 days in Dublin. You have to attend a workshop in Dublin between day 15 and day 19. You plan to stay in Dubrovnik for 3 days. You would like to visit Seville for 2 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Nice, from Nice to Athens, from Dublin to Seville, from Geneva to Athens, from Dubrovnik to Geneva, from Reykjavik to Athens, from Geneva to Berlin, from Berlin to Reykjavik, from Dubrovnik to Dublin, from Nice to Reykjavik, from Nice to Dublin, from Nice to Berlin, from Berlin to Dublin, from Athens to Dublin, from Geneva to Dublin, from Dubrovnik to Athens, from Reykjavik to Dublin, from Berlin to Athens.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Geneva.\n**Day 3-4:** Visit Geneva for 2 days.\n**Day 4:** Fly from Geneva to Nice.\n**Day 4-7:** Visit Nice for 4 days.\n**Day 7:** Fly from Nice to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.\n**Day 13:** Fly from Reykjavik to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Seville.\n**Day 19-20:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1050",
    "estimated_output_tokens": 4287,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days.\n* City: Nice, Duration: 4 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Geneva, Duration: 2 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Dubrovnik, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 7 - 11.\n* City: Athens, Fixed Schedule: Day 13 - 15.\n* City: Dublin, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Nice, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Geneva, Dubrovnik, Seville] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 11).\n |- The departure day of Reykjavik is Day 3. The arrival day of Berlin is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Geneva, Dubrovnik, Seville] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 11).\n |- The departure day of Nice is Day 4. The arrival day of Berlin is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva, Dubrovnik, Seville] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Nice to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 7 - 11).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Berlin is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Seville] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Nice to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Nice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Nice to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 11).\n |- The departure day of Geneva is Day 2. The arrival day of Berlin is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Dubrovnik, Seville] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 7 - 11).\n   |- The departure day of Nice is Day 5. The arrival day of Berlin is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Dubrovnik, Seville] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 7 - 11).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Nice, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Nice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Nice to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 7 - 11).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Berlin is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Geneva, Seville] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 7 - 11).\n   |- The departure day of Geneva is Day 4. The arrival day of Berlin is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dubrovnik, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Nice, Seville] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Geneva to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 7 - 11).\n     |- The departure day of Nice is Day 7. The arrival day of Berlin is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Geneva, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Nice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Athens (Day 13 - 15).\n       |- The departure day of Berlin is Day 11. The arrival day of Athens is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Geneva, Nice, Berlin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Berlin to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Athens (Day 13 - 15).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Athens is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Geneva, Nice, Berlin, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 15 - 19).\n           |- The departure day of Athens is Day 15. The arrival day of Dublin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dubrovnik, Geneva, Nice, Berlin, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Athens to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dubrovnik, Geneva, Nice, Berlin, Reykjavik, Athens, Dublin].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Dublin to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Dubrovnik, Geneva, Nice, Berlin, Reykjavik, Athens, Dublin, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Geneva.\n**Day 3-4:** Visit Geneva for 2 days.\n**Day 4:** Fly from Geneva to Nice.\n**Day 4-7:** Visit Nice for 4 days.\n**Day 7:** Fly from Nice to Berlin.\n**Day 7-11:** Visit Berlin for 5 days.\n**Day 11:** Fly from Berlin to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.\n**Day 13:** Fly from Reykjavik to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Seville.\n**Day 19-20:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Oslo**Venice**Barcelona**Geneva**Brussels**Tallinn",
    "ground_truth_durations": "5**5**3**2**5**3**3**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Barcelona"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Oslo",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You would like to visit Frankfurt for 5 days. You would like to visit Geneva for 3 days. You plan to visit relatives in Geneva between day 16 and day 18. You plan to stay in Tallinn for 2 days. You have to attend a workshop in Tallinn between day 20 and day 21. You want to spend 3 days in Brussels. You plan to stay in Oslo for 3 days. You would like to visit Barcelona for 5 days. During day 12 and day 16, you have to attend a conference in Barcelona. You want to spend 2 days in Venice. From day 11 to day 12, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, Barcelona and Tallinn, Oslo and Tallinn, Frankfurt and Geneva, Frankfurt and Barcelona, Frankfurt and Tallinn, Frankfurt and Oslo, Venice and Brussels, Barcelona and Brussels, Frankfurt and Venice, Geneva and Brussels, Barcelona and Geneva, Oslo and Geneva, Venice and Barcelona, Salzburg and Frankfurt, Oslo and Brussels, Brussels and Tallinn, Oslo and Venice, Oslo and Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You would like to visit Frankfurt for 5 days. You would like to visit Geneva for 3 days. You plan to visit relatives in Geneva between day 16 and day 18. You plan to stay in Tallinn for 2 days. You have to attend a workshop in Tallinn between day 20 and day 21. You want to spend 3 days in Brussels. You plan to stay in Oslo for 3 days. You would like to visit Barcelona for 5 days. During day 12 and day 16, you have to attend a conference in Barcelona. You want to spend 2 days in Venice. From day 11 to day 12, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, from Barcelona to Tallinn, from Oslo to Tallinn, from Frankfurt to Geneva, from Frankfurt to Barcelona, from Frankfurt to Tallinn, from Frankfurt to Oslo, from Venice to Brussels, from Barcelona to Brussels, from Frankfurt to Venice, from Geneva to Brussels, from Barcelona to Geneva, from Oslo to Geneva, from Venice to Barcelona, from Salzburg to Frankfurt, from Oslo to Brussels, from Brussels to Tallinn, from Oslo to Venice, from Oslo to Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Geneva.\n**Day 16-18:** Visit Geneva for 3 days.\n**Day 18:** Fly from Geneva to Brussels.\n**Day 18-20:** Visit Brussels for 3 days.\n**Day 20:** Fly from Brussels to Tallinn.\n**Day 20-21:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1051",
    "estimated_output_tokens": 2061,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Brussels, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 11 - 12.\n* City: Barcelona, Fixed Schedule: Day 12 - 16.\n* City: Geneva, Fixed Schedule: Day 16 - 18.\n* City: Tallinn, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Brussels, Oslo] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 11 - 12).\n |- The departure day of Salzburg is Day 5. The arrival day of Venice is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Brussels, Oslo] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 11 - 12).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Venice is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Oslo] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Frankfurt to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Frankfurt to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 11 - 12).\n     |- The departure day of Oslo is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Salzburg, Frankfurt, Oslo].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Barcelona (Day 12 - 16).\n       |- The departure day of Venice is Day 12. The arrival day of Barcelona is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Frankfurt, Oslo, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Venice to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 16 - 18).\n         |- The departure day of Barcelona is Day 16. The arrival day of Geneva is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Salzburg, Frankfurt, Oslo, Venice, Barcelona].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Barcelona to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 20 - 21).\n           |- The departure day of Geneva is Day 18. The arrival day of Tallinn is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Salzburg, Frankfurt, Oslo, Venice, Barcelona, Geneva].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Geneva to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Tallinn (Day 20 - 21).\n             |- The departure day of Brussels is Day 20. The arrival day of Tallinn is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Salzburg, Frankfurt, Oslo, Venice, Barcelona, Geneva, Brussels].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Brussels to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Salzburg, Frankfurt, Oslo, Venice, Barcelona, Geneva, Brussels, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Venice.\n**Day 11-12:** Visit Venice for 2 days.\n**Day 12:** Fly from Venice to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Geneva.\n**Day 16-18:** Visit Geneva for 3 days.\n**Day 18:** Fly from Geneva to Brussels.\n**Day 18-20:** Visit Brussels for 3 days.\n**Day 20:** Fly from Brussels to Tallinn.\n**Day 20-21:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Milan**London**Oslo**Helsinki**Vilnius**Berlin**Salzburg",
    "ground_truth_durations": "5**2**5**5**3**5**4**5",
    "num_cities": 8,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Milan",
        "Berlin"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Milan",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Berlin. You are going to attend a wedding in Berlin between day 20 and day 23. You plan to stay in Helsinki for 3 days. During day 14 and day 16, you have to attend a conference in Helsinki. You would like to visit Vilnius for 5 days. You plan to stay in Milan for 2 days. You would like to visit Oslo for 5 days. You plan to stay in London for 5 days. You would like to meet your friends at London between day 6 and day 10 to tour together. You would like to visit Salzburg for 5 days. You plan to stay in Seville for 5 days. You have to attend a workshop in Seville between day 1 and day 5.\n\nHere are the cities that have direct flights:\nOslo and Vilnius, Milan and Vilnius, Vilnius and Berlin, Milan and Helsinki, Helsinki and Vilnius, Oslo and Berlin, London and Berlin, Helsinki and Berlin, London and Helsinki, Milan and London, Seville and Milan, Berlin and Salzburg, London and Oslo, Milan and Berlin, Oslo and Helsinki, Milan and Oslo.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Berlin. You are going to attend a wedding in Berlin between day 20 and day 23. You plan to stay in Helsinki for 3 days. During day 14 and day 16, you have to attend a conference in Helsinki. You would like to visit Vilnius for 5 days. You plan to stay in Milan for 2 days. You would like to visit Oslo for 5 days. You plan to stay in London for 5 days. You would like to meet your friends at London between day 6 and day 10 to tour together. You would like to visit Salzburg for 5 days. You plan to stay in Seville for 5 days. You have to attend a workshop in Seville between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Oslo to Vilnius, from Milan to Vilnius, from Vilnius to Berlin, from Milan to Helsinki, from Helsinki to Vilnius, from Oslo to Berlin, from London to Berlin, from Helsinki to Berlin, from London to Helsinki, from Milan to London, from Seville to Milan, from Berlin to Salzburg, from London to Oslo, from Milan to Berlin, from Oslo to Helsinki, from Milan to Oslo.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 27 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Helsinki.\n**Day 14-16:** Visit Helsinki for 3 days.\n**Day 16:** Fly from Helsinki to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Berlin.\n**Day 20-23:** Visit Berlin for 4 days.\n**Day 23:** Fly from Berlin to Salzburg.\n**Day 23-27:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1052",
    "estimated_output_tokens": 2109,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Vilnius, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Salzburg, Duration: 5 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 6 - 10.\n* City: Helsinki, Fixed Schedule: Day 14 - 16.\n* City: Berlin, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 6 - 10).\n |- The departure day of Seville is Day 5. The arrival day of London is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Milan, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 6 - 10).\n   |- The departure day of Milan is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n     |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Milan to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 14 - 16).\n     |- The departure day of London is Day 10. The arrival day of Helsinki is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Milan, London].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Oslo, Salzburg] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from London to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from London to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 14 - 16).\n       |- The departure day of Oslo is Day 14. The arrival day of Helsinki is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Seville, Milan, London, Oslo].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Helsinki.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Oslo to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Berlin (Day 20 - 23).\n         |- The departure day of Helsinki is Day 16. The arrival day of Berlin is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Milan, London, Oslo, Helsinki].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Helsinki to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Berlin (Day 20 - 23).\n           |- The departure day of Vilnius is Day 20. The arrival day of Berlin is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Seville, Milan, London, Oslo, Helsinki, Vilnius].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Berlin.\n             |- Try arranging to visit Berlin from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Vilnius to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Seville, Milan, London, Oslo, Helsinki, Vilnius, Berlin].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Berlin to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Seville, Milan, London, Oslo, Helsinki, Vilnius, Berlin, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Helsinki.\n**Day 14-16:** Visit Helsinki for 3 days.\n**Day 16:** Fly from Helsinki to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Berlin.\n**Day 20-23:** Visit Berlin for 4 days.\n**Day 23:** Fly from Berlin to Salzburg.\n**Day 23-27:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Oslo**Brussels**Reykjavik**Helsinki**Dubrovnik**Amsterdam**Porto",
    "ground_truth_durations": "5**4**5**5**2**2**2**5",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. You plan to visit relatives in Brussels between day 8 and day 12. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 12 and day 16 to tour together. You would like to visit Bucharest for 5 days. During day 1 and day 5, you have to attend a conference in Bucharest. You would like to visit Helsinki for 2 days. You would like to visit Amsterdam for 2 days. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 17 and day 18. You plan to stay in Porto for 5 days. You plan to stay in Oslo for 4 days.\n\nHere are the cities that have direct flights:\nReykjavik and Helsinki, Oslo and Brussels, Brussels and Porto, Brussels and Reykjavik, Oslo and Reykjavik, Oslo and Helsinki, Dubrovnik and Amsterdam, Bucharest and Amsterdam, Oslo and Porto, Reykjavik and Amsterdam, Bucharest and Oslo, Amsterdam and Porto, Oslo and Amsterdam, Oslo and Dubrovnik, Brussels and Helsinki, Helsinki and Amsterdam, Helsinki and Dubrovnik, Bucharest and Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. You plan to visit relatives in Brussels between day 8 and day 12. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 12 and day 16 to tour together. You would like to visit Bucharest for 5 days. During day 1 and day 5, you have to attend a conference in Bucharest. You would like to visit Helsinki for 2 days. You would like to visit Amsterdam for 2 days. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 17 and day 18. You plan to stay in Porto for 5 days. You plan to stay in Oslo for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Helsinki, from Oslo to Brussels, from Brussels to Porto, from Brussels to Reykjavik, from Oslo to Reykjavik, from Oslo to Helsinki, from Dubrovnik to Amsterdam, from Bucharest to Amsterdam, from Oslo to Porto, from Reykjavik to Amsterdam, from Bucharest to Oslo, from Amsterdam to Porto, from Oslo to Amsterdam, from Oslo to Dubrovnik, from Brussels to Helsinki, from Helsinki to Amsterdam, from Helsinki to Dubrovnik, from Bucharest to Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Amsterdam.\n**Day 18-19:** Visit Amsterdam for 2 days.\n**Day 19:** Fly from Amsterdam to Porto.\n**Day 19-23:** Visit Porto for 5 days.",
    "id": "trip_planning_example_1053",
    "estimated_output_tokens": 2533,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Helsinki, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Porto, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 5.\n* City: Brussels, Fixed Schedule: Day 8 - 12.\n* City: Reykjavik, Fixed Schedule: Day 12 - 16.\n* City: Dubrovnik, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 8 - 12).\n |- The departure day of Bucharest is Day 5. The arrival day of Brussels is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Porto, Oslo] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Bucharest to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 8 - 12).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Brussels is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Porto, Oslo] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 8 - 12).\n     |- The departure day of Porto is Day 10. The arrival day of Brussels is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Amsterdam to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 8 - 12).\n   |- The departure day of Oslo is Day 8. The arrival day of Brussels is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Bucharest, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Oslo to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 12 - 16).\n     |- The departure day of Brussels is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Bucharest, Oslo, Brussels].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Brussels to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 17 - 18).\n       |- The departure day of Reykjavik is Day 16. The arrival day of Dubrovnik is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Bucharest, Oslo, Brussels, Reykjavik].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Porto] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 17 - 18).\n         |- The departure day of Helsinki is Day 17. The arrival day of Dubrovnik is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Bucharest, Oslo, Brussels, Reykjavik, Helsinki].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Helsinki to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Oslo, Brussels, Reykjavik, Helsinki, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Porto] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Dubrovnik to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Bucharest, Oslo, Brussels, Reykjavik, Helsinki, Dubrovnik, Amsterdam].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Amsterdam to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Bucharest, Oslo, Brussels, Reykjavik, Helsinki, Dubrovnik, Amsterdam, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Amsterdam.\n**Day 18-19:** Visit Amsterdam for 2 days.\n**Day 19:** Fly from Amsterdam to Porto.\n**Day 19-23:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Prague**London**Venice**Dublin**Dubrovnik**Istanbul**Salzburg",
    "ground_truth_durations": "4**2**3**5**2**5**3**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Dublin",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Krakow",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 16 and day 18 to tour together. You want to spend 5 days in Venice. You would like to visit London for 3 days. You want to spend 2 days in Prague. You plan to stay in Krakow for 4 days. From day 1 to day 4, there is a annual show you want to attend in Krakow. You plan to stay in Dublin for 2 days. You plan to stay in Salzburg for 2 days. You want to spend 5 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nPrague and Istanbul, Prague and London, from Dubrovnik to Istanbul, Dublin and Dubrovnik, London and Istanbul, Krakow and Istanbul, Dublin and Istanbul, Venice and Istanbul, Prague and Dublin, Krakow and Dublin, Istanbul and Salzburg, Venice and Dublin, London and Dublin, London and Venice, Krakow and London, Krakow and Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 16 and day 18 to tour together. You want to spend 5 days in Venice. You would like to visit London for 3 days. You want to spend 2 days in Prague. You plan to stay in Krakow for 4 days. From day 1 to day 4, there is a annual show you want to attend in Krakow. You plan to stay in Dublin for 2 days. You plan to stay in Salzburg for 2 days. You want to spend 5 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Prague to Istanbul, from Prague to London, from Dubrovnik to Istanbul, from Dublin to Dubrovnik, from London to Istanbul, from Krakow to Istanbul, from Dublin to Istanbul, from Venice to Istanbul, from Prague to Dublin, from Krakow to Dublin, from Istanbul to Salzburg, from Venice to Dublin, from London to Dublin, from London to Venice, from Krakow to London, from Krakow to Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.\n**Day 16:** Fly from Dubrovnik to Istanbul.\n**Day 16-18:** Visit Istanbul for 3 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-19:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1054",
    "estimated_output_tokens": 4245,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Venice, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 16 - 18).\n |- The departure day of Krakow is Day 4. The arrival day of Istanbul is Day 16. Day 4 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, London, Prague, Dublin, Salzburg, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 16 - 18).\n   |- The departure day of London is Day 6. The arrival day of Istanbul is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Dublin, Salzburg, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 16 - 18).\n     |- The departure day of Venice is Day 10. The arrival day of Istanbul is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, London, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Dublin, Salzburg, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 16 - 18).\n       |- The departure day of Dublin is Day 11. The arrival day of Istanbul is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, London, Venice, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Salzburg, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dublin to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dublin to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dublin to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 16 - 18).\n         |- The departure day of Dubrovnik is Day 15. The arrival day of Istanbul is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Krakow, London, Venice, Dublin, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Salzburg] and explore these options in order.\n           |- Try arranging to visit Prague from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Dubrovnik to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Dubrovnik to Salzburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from London to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from London to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 16 - 18).\n     |- The departure day of Dublin is Day 7. The arrival day of Istanbul is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, London, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Salzburg, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 16 - 18).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Istanbul is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, London, Dublin, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Salzburg] and explore these options in order.\n         |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dubrovnik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dubrovnik to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dubrovnik to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from London to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 16 - 18).\n   |- The departure day of Prague is Day 5. The arrival day of Istanbul is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, London, Dublin, Salzburg, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 16 - 18).\n     |- The departure day of London is Day 7. The arrival day of Istanbul is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Prague, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Dublin, Salzburg, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from London to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 16 - 18).\n       |- The departure day of Venice is Day 11. The arrival day of Istanbul is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Prague, London, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Salzburg, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Venice to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 16 - 18).\n         |- The departure day of Dublin is Day 12. The arrival day of Istanbul is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Krakow, Prague, London, Venice, Dublin].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Dublin to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Dublin to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 16 - 18).\n           |- The departure day of Dubrovnik is Day 16. The arrival day of Istanbul is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Prague, London, Venice, Dublin, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Dubrovnik to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Krakow, Prague, London, Venice, Dublin, Dubrovnik, Istanbul].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Istanbul to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Krakow, Prague, London, Venice, Dublin, Dubrovnik, Istanbul, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-16:** Visit Dubrovnik for 5 days.\n**Day 16:** Fly from Dubrovnik to Istanbul.\n**Day 16-18:** Visit Istanbul for 3 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-19:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Bucharest**Prague**Florence**Vienna**Copenhagen**Munich**Reykjavik",
    "ground_truth_durations": "4**3**3**2**4**3**2**4",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Munich"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Prague",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You have to attend a workshop in Munich between day 14 and day 15. You want to spend 4 days in Athens. You plan to visit relatives in Athens between day 1 and day 4. You want to spend 4 days in Vienna. You want to spend 4 days in Reykjavik. You want to spend 3 days in Copenhagen. You would like to meet your friends at Copenhagen between day 12 and day 14 to tour together. You plan to stay in Bucharest for 3 days. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 6 and day 8. You plan to stay in Florence for 2 days.\n\nHere are the cities that have direct flights:\nAthens and Munich, Bucharest and Munich, Prague and Copenhagen, Florence and Vienna, Bucharest and Copenhagen, Vienna and Munich, from Reykjavik to Athens, Prague and Florence, Athens and Prague, Prague and Reykjavik, Copenhagen and Reykjavik, Bucharest and Vienna, Athens and Bucharest, Munich and Reykjavik, Prague and Munich, Bucharest and Prague, from Florence to Munich, Vienna and Reykjavik, Athens and Copenhagen, Copenhagen and Munich, Athens and Vienna, Vienna and Copenhagen, Prague and Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You have to attend a workshop in Munich between day 14 and day 15. You want to spend 4 days in Athens. You plan to visit relatives in Athens between day 1 and day 4. You want to spend 4 days in Vienna. You want to spend 4 days in Reykjavik. You want to spend 3 days in Copenhagen. You would like to meet your friends at Copenhagen between day 12 and day 14 to tour together. You plan to stay in Bucharest for 3 days. You plan to stay in Prague for 3 days. You are going to attend a wedding in Prague between day 6 and day 8. You plan to stay in Florence for 2 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Munich, from Bucharest to Munich, from Prague to Copenhagen, from Florence to Vienna, from Bucharest to Copenhagen, from Vienna to Munich, from Reykjavik to Athens, from Prague to Florence, from Athens to Prague, from Prague to Reykjavik, from Copenhagen to Reykjavik, from Bucharest to Vienna, from Athens to Bucharest, from Munich to Reykjavik, from Prague to Munich, from Bucharest to Prague, from Florence to Munich, from Vienna to Reykjavik, from Athens to Copenhagen, from Copenhagen to Munich, from Athens to Vienna, from Vienna to Copenhagen, from Prague to Vienna.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Bucharest.\n**Day 4-6:** Visit Bucharest for 3 days.\n**Day 6:** Fly from Bucharest to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Munich.\n**Day 14-15:** Visit Munich for 2 days.\n**Day 15:** Fly from Munich to Reykjavik.\n**Day 15-18:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1055",
    "estimated_output_tokens": 2876,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vienna, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Bucharest, Duration: 3 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Florence, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 6 - 8.\n* City: Copenhagen, Fixed Schedule: Day 12 - 14.\n* City: Munich, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 8).\n |- The departure day of Athens is Day 4. The arrival day of Prague is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Reykjavik, Bucharest, Florence] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 8).\n   |- The departure day of Vienna is Day 7. The arrival day of Prague is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Athens to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Athens to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 8).\n   |- The departure day of Bucharest is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Bucharest to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 12 - 14).\n     |- The departure day of Prague is Day 8. The arrival day of Copenhagen is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Athens, Bucharest, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Reykjavik, Florence] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 12 - 14).\n       |- The departure day of Vienna is Day 11. The arrival day of Copenhagen is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Bucharest, Prague, Vienna].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Vienna to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 12 - 14).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Copenhagen is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vienna to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 12 - 14).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Copenhagen is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Bucharest, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Florence] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 12 - 14).\n       |- The departure day of Florence is Day 9. The arrival day of Copenhagen is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Athens, Bucharest, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Florence to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 12 - 14).\n         |- The departure day of Vienna is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Athens, Bucharest, Prague, Florence, Vienna].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Vienna to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Munich (Day 14 - 15).\n           |- The departure day of Copenhagen is Day 14. The arrival day of Munich is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Athens, Bucharest, Prague, Florence, Vienna, Copenhagen].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Munich.\n             |- Try arranging to visit Munich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Copenhagen to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Athens, Bucharest, Prague, Florence, Vienna, Copenhagen, Munich].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Munich to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Athens, Bucharest, Prague, Florence, Vienna, Copenhagen, Munich, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Bucharest.\n**Day 4-6:** Visit Bucharest for 3 days.\n**Day 6:** Fly from Bucharest to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Copenhagen.\n**Day 12-14:** Visit Copenhagen for 3 days.\n**Day 14:** Fly from Copenhagen to Munich.\n**Day 14-15:** Visit Munich for 2 days.\n**Day 15:** Fly from Munich to Reykjavik.\n**Day 15-18:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Reykjavik**Barcelona**Krakow**Split**Hamburg**Madrid**Dubrovnik",
    "ground_truth_durations": "2**3**4**5**5**3**4**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Krakow",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 4 days. You plan to visit relatives in Madrid between day 17 and day 20. You would like to visit Oslo for 2 days. You plan to stay in Split for 5 days. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 2 and day 4 to tour together. You want to spend 5 days in Krakow. You would like to visit Hamburg for 3 days. You plan to stay in Barcelona for 4 days. You have to attend a workshop in Barcelona between day 4 and day 7. You would like to visit Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Barcelona, Hamburg and Madrid, Split and Hamburg, Reykjavik and Barcelona, Barcelona and Krakow, Oslo and Madrid, Barcelona and Madrid, Oslo and Hamburg, Oslo and Reykjavik, from Reykjavik to Madrid, Barcelona and Dubrovnik, Oslo and Krakow, Split and Madrid, Oslo and Split, Madrid and Dubrovnik, Barcelona and Hamburg, Oslo and Dubrovnik, Barcelona and Split, Krakow and Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 4 days. You plan to visit relatives in Madrid between day 17 and day 20. You would like to visit Oslo for 2 days. You plan to stay in Split for 5 days. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 2 and day 4 to tour together. You want to spend 5 days in Krakow. You would like to visit Hamburg for 3 days. You plan to stay in Barcelona for 4 days. You have to attend a workshop in Barcelona between day 4 and day 7. You would like to visit Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Barcelona, from Hamburg to Madrid, from Split to Hamburg, from Reykjavik to Barcelona, from Barcelona to Krakow, from Oslo to Madrid, from Barcelona to Madrid, from Oslo to Hamburg, from Oslo to Reykjavik, from Reykjavik to Madrid, from Barcelona to Dubrovnik, from Oslo to Krakow, from Split to Madrid, from Oslo to Split, from Madrid to Dubrovnik, from Barcelona to Hamburg, from Oslo to Dubrovnik, from Barcelona to Split, from Krakow to Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Reykjavik.\n**Day 2-4:** Visit Reykjavik for 3 days.\n**Day 4:** Fly from Reykjavik to Barcelona.\n**Day 4-7:** Visit Barcelona for 4 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Madrid.\n**Day 17-20:** Visit Madrid for 4 days.\n**Day 20:** Fly from Madrid to Dubrovnik.\n**Day 20-23:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_1056",
    "estimated_output_tokens": 2685,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Oslo, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Krakow, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 2 - 4.\n* City: Barcelona, Fixed Schedule: Day 4 - 7.\n* City: Madrid, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Split, Krakow, Hamburg, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 2 - 4).\n |- The departure day of Oslo is Day 2. The arrival day of Reykjavik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Oslo to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 4 - 7).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 17 - 20).\n     |- The departure day of Barcelona is Day 7. The arrival day of Madrid is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Reykjavik, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Krakow, Hamburg, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Barcelona to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 17 - 20).\n       |- The departure day of Split is Day 11. The arrival day of Madrid is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Reykjavik, Barcelona, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Hamburg, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Split to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Split to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Madrid (Day 17 - 20).\n         |- The departure day of Hamburg is Day 13. The arrival day of Madrid is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Oslo, Reykjavik, Barcelona, Split, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Hamburg to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Barcelona to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 17 - 20).\n       |- The departure day of Krakow is Day 11. The arrival day of Madrid is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Reykjavik, Barcelona, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Hamburg, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Split from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Krakow to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Madrid (Day 17 - 20).\n         |- The departure day of Split is Day 15. The arrival day of Madrid is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Oslo, Reykjavik, Barcelona, Krakow, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Madrid (Day 17 - 20).\n           |- The departure day of Hamburg is Day 17. The arrival day of Madrid is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Oslo, Reykjavik, Barcelona, Krakow, Split, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Madrid.\n             |- Try arranging to visit Madrid from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Hamburg to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Oslo, Reykjavik, Barcelona, Krakow, Split, Hamburg, Madrid].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Madrid to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Oslo, Reykjavik, Barcelona, Krakow, Split, Hamburg, Madrid, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Reykjavik.\n**Day 2-4:** Visit Reykjavik for 3 days.\n**Day 4:** Fly from Reykjavik to Barcelona.\n**Day 4-7:** Visit Barcelona for 4 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Split.\n**Day 11-15:** Visit Split for 5 days.\n**Day 15:** Fly from Split to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Madrid.\n**Day 17-20:** Visit Madrid for 4 days.\n**Day 20:** Fly from Madrid to Dubrovnik.\n**Day 20-23:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Lisbon**Venice**Zurich**Tallinn**Warsaw**Krakow**Vilnius",
    "ground_truth_durations": "2**4**4**2**2**3**3**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You plan to stay in Venice for 4 days. You would like to visit Vilnius for 2 days. You plan to stay in Lisbon for 4 days. During day 2 and day 5, you have to attend a conference in Lisbon. You want to spend 2 days in Zurich. You would like to meet your friends at Zurich between day 8 and day 9 to tour together. You want to spend 2 days in Tallinn. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 12 and day 14. You plan to stay in Geneva for 2 days. You are going to attend a wedding in Geneva between day 1 and day 2.\n\nHere are the cities that have direct flights:\nZurich and Vilnius, from Tallinn to Vilnius, Zurich and Tallinn, Tallinn and Warsaw, Lisbon and Zurich, Lisbon and Krakow, Venice and Zurich, Warsaw and Krakow, Venice and Warsaw, Lisbon and Venice, Geneva and Warsaw, Zurich and Krakow, Geneva and Zurich, Geneva and Lisbon, Zurich and Warsaw, from Krakow to Vilnius, Warsaw and Vilnius, Lisbon and Warsaw.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You plan to stay in Venice for 4 days. You would like to visit Vilnius for 2 days. You plan to stay in Lisbon for 4 days. During day 2 and day 5, you have to attend a conference in Lisbon. You want to spend 2 days in Zurich. You would like to meet your friends at Zurich between day 8 and day 9 to tour together. You want to spend 2 days in Tallinn. You want to spend 3 days in Krakow. You plan to visit relatives in Krakow between day 12 and day 14. You plan to stay in Geneva for 2 days. You are going to attend a wedding in Geneva between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Zurich to Vilnius, from Tallinn to Vilnius, from Zurich to Tallinn, from Tallinn to Warsaw, from Lisbon to Zurich, from Lisbon to Krakow, from Venice to Zurich, from Warsaw to Krakow, from Venice to Warsaw, from Lisbon to Venice, from Geneva to Warsaw, from Zurich to Krakow, from Geneva to Zurich, from Geneva to Lisbon, from Zurich to Warsaw, from Krakow to Vilnius, from Warsaw to Vilnius, from Lisbon to Warsaw.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Zurich.\n**Day 8-9:** Visit Zurich for 2 days.\n**Day 9:** Fly from Zurich to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Warsaw.\n**Day 10-12:** Visit Warsaw for 3 days.\n**Day 12:** Fly from Warsaw to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1057",
    "estimated_output_tokens": 3446,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Tallinn, Duration: 2 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 2 - 5.\n* City: Zurich, Fixed Schedule: Day 8 - 9.\n* City: Krakow, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 5).\n |- The departure day of Geneva is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Zurich (Day 8 - 9).\n   |- The departure day of Lisbon is Day 5. The arrival day of Zurich is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Vilnius, Tallinn] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lisbon to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Zurich (Day 8 - 9).\n     |- The departure day of Warsaw is Day 7. The arrival day of Zurich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Lisbon, Warsaw].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Tallinn] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Warsaw to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 8 - 9).\n       |- The departure day of Vilnius is Day 8. The arrival day of Zurich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Geneva, Lisbon, Warsaw, Vilnius].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Vilnius to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Warsaw to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lisbon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Zurich (Day 8 - 9).\n     |- The departure day of Venice is Day 8. The arrival day of Zurich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Geneva, Lisbon, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 12 - 14).\n       |- The departure day of Zurich is Day 9. The arrival day of Krakow is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Geneva, Lisbon, Venice, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Zurich to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 12 - 14).\n         |- The departure day of Warsaw is Day 11. The arrival day of Krakow is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Geneva, Lisbon, Venice, Zurich, Warsaw].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Warsaw to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 12 - 14).\n           |- The departure day of Vilnius is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Geneva, Lisbon, Venice, Zurich, Warsaw, Vilnius].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Vilnius to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Warsaw to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 12 - 14).\n         |- The departure day of Vilnius is Day 10. The arrival day of Krakow is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Geneva, Lisbon, Venice, Zurich, Vilnius].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Vilnius to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Vilnius to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 12 - 14).\n         |- The departure day of Tallinn is Day 10. The arrival day of Krakow is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Geneva, Lisbon, Venice, Zurich, Tallinn].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Tallinn to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 12 - 14).\n           |- The departure day of Warsaw is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Geneva, Lisbon, Venice, Zurich, Tallinn, Warsaw].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Warsaw to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Geneva, Lisbon, Venice, Zurich, Tallinn, Warsaw, Krakow].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Krakow to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Geneva, Lisbon, Venice, Zurich, Tallinn, Warsaw, Krakow, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Zurich.\n**Day 8-9:** Visit Zurich for 2 days.\n**Day 9:** Fly from Zurich to Tallinn.\n**Day 9-10:** Visit Tallinn for 2 days.\n**Day 10:** Fly from Tallinn to Warsaw.\n**Day 10-12:** Visit Warsaw for 3 days.\n**Day 12:** Fly from Warsaw to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Madrid**Seville**Porto**Nice**Venice**Berlin**Salzburg",
    "ground_truth_durations": "4**3**4**4**3**5**4**5",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Berlin"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Seville",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 4 days. You would like to meet your friends at Florence between day 1 and day 4 to tour together. You plan to stay in Nice for 3 days. You want to meet a friend in Nice between day 12 and day 14. You plan to stay in Porto for 4 days. You would like to visit Salzburg for 5 days. You would like to visit Madrid for 3 days. You plan to visit relatives in Madrid between day 4 and day 6. You would like to visit Seville for 4 days. You want to spend 5 days in Venice. You plan to stay in Berlin for 4 days.\n\nHere are the cities that have direct flights:\nPorto and Berlin, Madrid and Nice, Porto and Nice, Florence and Madrid, Nice and Berlin, Madrid and Porto, Madrid and Berlin, Madrid and Venice, Venice and Berlin, Nice and Venice, Madrid and Seville, Berlin and Salzburg, Seville and Porto.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 4 days. You would like to meet your friends at Florence between day 1 and day 4 to tour together. You plan to stay in Nice for 3 days. You want to meet a friend in Nice between day 12 and day 14. You plan to stay in Porto for 4 days. You would like to visit Salzburg for 5 days. You would like to visit Madrid for 3 days. You plan to visit relatives in Madrid between day 4 and day 6. You would like to visit Seville for 4 days. You want to spend 5 days in Venice. You plan to stay in Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Berlin, from Madrid to Nice, from Porto to Nice, from Florence to Madrid, from Nice to Berlin, from Madrid to Porto, from Madrid to Berlin, from Madrid to Venice, from Venice to Berlin, from Nice to Venice, from Madrid to Seville, from Berlin to Salzburg, from Seville to Porto.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Seville.\n**Day 6-9:** Visit Seville for 4 days.\n**Day 9:** Fly from Seville to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Nice.\n**Day 12-14:** Visit Nice for 3 days.\n**Day 14:** Fly from Nice to Venice.\n**Day 14-18:** Visit Venice for 5 days.\n**Day 18:** Fly from Venice to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1058",
    "estimated_output_tokens": 2662,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Porto, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Seville, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Madrid, Fixed Schedule: Day 4 - 6.\n* City: Nice, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 4 - 6).\n |- The departure day of Florence is Day 4. The arrival day of Madrid is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 12 - 14).\n   |- The departure day of Madrid is Day 6. The arrival day of Nice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Salzburg, Seville, Venice, Berlin] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Madrid to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 14).\n     |- The departure day of Porto is Day 9. The arrival day of Nice is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Madrid, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Seville, Venice, Berlin] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Porto to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Porto to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 12 - 14).\n       |- The departure day of Berlin is Day 12. The arrival day of Nice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Madrid, Porto, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Berlin to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Madrid to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 14).\n     |- The departure day of Seville is Day 9. The arrival day of Nice is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Madrid, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Salzburg, Venice, Berlin] and explore these options in order.\n       |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 12 - 14).\n       |- The departure day of Porto is Day 12. The arrival day of Nice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Madrid, Seville, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Porto to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Madrid, Seville, Porto, Nice].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Venice, Berlin] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Nice to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Nice to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Florence, Madrid, Seville, Porto, Nice, Venice].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Venice to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Venice to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Madrid, Seville, Porto, Nice, Venice, Berlin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Berlin to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Florence, Madrid, Seville, Porto, Nice, Venice, Berlin, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Seville.\n**Day 6-9:** Visit Seville for 4 days.\n**Day 9:** Fly from Seville to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Nice.\n**Day 12-14:** Visit Nice for 3 days.\n**Day 14:** Fly from Nice to Venice.\n**Day 14-18:** Visit Venice for 5 days.\n**Day 18:** Fly from Venice to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Barcelona**Santorini**Oslo**Munich**Budapest**Frankfurt**Florence",
    "ground_truth_durations": "3**4**2**3**4**2**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Florence"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Munich"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Madrid",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. During day 7 and day 9, you have to attend a conference in Oslo. You want to spend 2 days in Santorini. You would like to meet your friends at Santorini between day 6 and day 7 to tour together. You would like to visit Munich for 4 days. You would like to visit Frankfurt for 2 days. You would like to visit Florence for 2 days. You plan to stay in Barcelona for 4 days. You would like to visit Madrid for 3 days. You plan to visit relatives in Madrid between day 1 and day 3. You would like to visit Budapest for 2 days. From day 12 to day 13, there is a annual show you want to attend in Budapest.\n\nHere are the cities that have direct flights:\nMadrid and Florence, Barcelona and Frankfurt, Frankfurt and Florence, Madrid and Barcelona, Barcelona and Munich, Budapest and Frankfurt, Oslo and Budapest, Madrid and Santorini, Madrid and Budapest, Barcelona and Oslo, from Florence to Munich, Munich and Budapest, Madrid and Oslo, from Santorini to Oslo, Oslo and Munich, Barcelona and Budapest, Oslo and Frankfurt, Madrid and Munich, Barcelona and Santorini, Munich and Frankfurt, Barcelona and Florence, Madrid and Frankfurt.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Oslo. During day 7 and day 9, you have to attend a conference in Oslo. You want to spend 2 days in Santorini. You would like to meet your friends at Santorini between day 6 and day 7 to tour together. You would like to visit Munich for 4 days. You would like to visit Frankfurt for 2 days. You would like to visit Florence for 2 days. You plan to stay in Barcelona for 4 days. You would like to visit Madrid for 3 days. You plan to visit relatives in Madrid between day 1 and day 3. You would like to visit Budapest for 2 days. From day 12 to day 13, there is a annual show you want to attend in Budapest.\n\nHere are the cities that have direct flights:\nfrom Madrid to Florence, from Barcelona to Frankfurt, from Frankfurt to Florence, from Madrid to Barcelona, from Barcelona to Munich, from Budapest to Frankfurt, from Oslo to Budapest, from Madrid to Santorini, from Madrid to Budapest, from Barcelona to Oslo, from Florence to Munich, from Munich to Budapest, from Madrid to Oslo, from Santorini to Oslo, from Oslo to Munich, from Barcelona to Budapest, from Oslo to Frankfurt, from Madrid to Munich, from Barcelona to Santorini, from Munich to Frankfurt, from Barcelona to Florence, from Madrid to Frankfurt.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Munich.\n**Day 9-12:** Visit Munich for 4 days.\n**Day 12:** Fly from Munich to Budapest.\n**Day 12-13:** Visit Budapest for 2 days.\n**Day 13:** Fly from Budapest to Frankfurt.\n**Day 13-14:** Visit Frankfurt for 2 days.\n**Day 14:** Fly from Frankfurt to Florence.\n**Day 14-15:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1059",
    "estimated_output_tokens": 3330,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Munich, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Fixed Schedule: Day 6 - 7.\n* City: Oslo, Fixed Schedule: Day 7 - 9.\n* City: Budapest, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 6 - 7).\n |- The departure day of Madrid is Day 3. The arrival day of Santorini is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Frankfurt, Florence, Barcelona] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Madrid to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 7).\n   |- The departure day of Munich is Day 6. The arrival day of Santorini is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Munich to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Madrid to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 7).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Santorini is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Florence, Barcelona] and explore these options in order.\n     |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 6 - 7).\n     |- The departure day of Florence is Day 5. The arrival day of Santorini is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Madrid, Frankfurt, Florence].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Barcelona] and explore these options in order.\n       |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 6 - 7).\n       |- The departure day of Munich is Day 8. The arrival day of Santorini is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Florence to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Madrid to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 7).\n   |- The departure day of Florence is Day 4. The arrival day of Santorini is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Florence].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Frankfurt, Barcelona] and explore these options in order.\n     |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Florence to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 6 - 7).\n     |- The departure day of Munich is Day 7. The arrival day of Santorini is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Florence to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Florence to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Madrid to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 7).\n   |- The departure day of Barcelona is Day 6. The arrival day of Santorini is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 7 - 9).\n     |- The departure day of Santorini is Day 7. The arrival day of Oslo is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Barcelona, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Santorini to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 12 - 13).\n       |- The departure day of Oslo is Day 9. The arrival day of Budapest is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Barcelona, Santorini, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Frankfurt, Florence] and explore these options in order.\n         |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Oslo to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 12 - 13).\n         |- The departure day of Munich is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Madrid, Barcelona, Santorini, Oslo, Munich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Munich to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Madrid, Barcelona, Santorini, Oslo, Munich, Budapest].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Florence] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Budapest to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Madrid, Barcelona, Santorini, Oslo, Munich, Budapest, Frankfurt].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Frankfurt to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Madrid, Barcelona, Santorini, Oslo, Munich, Budapest, Frankfurt, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Munich.\n**Day 9-12:** Visit Munich for 4 days.\n**Day 12:** Fly from Munich to Budapest.\n**Day 12-13:** Visit Budapest for 2 days.\n**Day 13:** Fly from Budapest to Frankfurt.\n**Day 13-14:** Visit Frankfurt for 2 days.\n**Day 14:** Fly from Frankfurt to Florence.\n**Day 14-15:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Valencia**Seville**Munich**Geneva**Istanbul**Vilnius",
    "ground_truth_durations": "4**4**5**3**3**5**4**4",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Valencia",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 4 days. During day 4 and day 7, you have to attend a conference in Stuttgart. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 19 and day 22. You would like to visit Vilnius for 4 days. You would like to visit Seville for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Valencia for 5 days. You plan to stay in Munich for 3 days. From day 13 to day 15, there is a annual show you want to attend in Munich. You plan to stay in Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 1 and day 4.\n\nHere are the cities that have direct flights:\nGeneva and Istanbul, Reykjavik and Munich, Stuttgart and Valencia, from Reykjavik to Stuttgart, Stuttgart and Istanbul, Munich and Geneva, Istanbul and Vilnius, Valencia and Seville, Valencia and Istanbul, from Vilnius to Munich, Seville and Munich, Munich and Istanbul, Valencia and Geneva, Valencia and Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 4 days. During day 4 and day 7, you have to attend a conference in Stuttgart. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 19 and day 22. You would like to visit Vilnius for 4 days. You would like to visit Seville for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Valencia for 5 days. You plan to stay in Munich for 3 days. From day 13 to day 15, there is a annual show you want to attend in Munich. You plan to stay in Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Geneva to Istanbul, from Reykjavik to Munich, from Stuttgart to Valencia, from Reykjavik to Stuttgart, from Stuttgart to Istanbul, from Munich to Geneva, from Istanbul to Vilnius, from Valencia to Seville, from Valencia to Istanbul, from Vilnius to Munich, from Seville to Munich, from Munich to Istanbul, from Valencia to Geneva, from Valencia to Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-7:** Visit Stuttgart for 4 days.\n**Day 7:** Fly from Stuttgart to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Munich.\n**Day 13-15:** Visit Munich for 3 days.\n**Day 15:** Fly from Munich to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Istanbul.\n**Day 19-22:** Visit Istanbul for 4 days.\n**Day 22:** Fly from Istanbul to Vilnius.\n**Day 22-25:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1060",
    "estimated_output_tokens": 2286,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Vilnius, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Fixed Schedule: Day 4 - 7.\n* City: Munich, Fixed Schedule: Day 13 - 15.\n* City: Istanbul, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 4 - 7).\n |- The departure day of Reykjavik is Day 4. The arrival day of Stuttgart is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 13 - 15).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Munich is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville, Geneva, Valencia] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stuttgart to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stuttgart to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 13 - 15).\n     |- The departure day of Valencia is Day 11. The arrival day of Munich is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Stuttgart, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville, Geneva] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Munich (Day 13 - 15).\n       |- The departure day of Seville is Day 13. The arrival day of Munich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Valencia, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Seville to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 19 - 22).\n         |- The departure day of Munich is Day 15. The arrival day of Istanbul is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Stuttgart, Valencia, Seville, Munich].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Munich to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Munich to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 19 - 22).\n           |- The departure day of Geneva is Day 19. The arrival day of Istanbul is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Reykjavik, Stuttgart, Valencia, Seville, Munich, Geneva].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Geneva to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Reykjavik, Stuttgart, Valencia, Seville, Munich, Geneva, Istanbul].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Istanbul to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Reykjavik, Stuttgart, Valencia, Seville, Munich, Geneva, Istanbul, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-7:** Visit Stuttgart for 4 days.\n**Day 7:** Fly from Stuttgart to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Munich.\n**Day 13-15:** Visit Munich for 3 days.\n**Day 15:** Fly from Munich to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Istanbul.\n**Day 19-22:** Visit Istanbul for 4 days.\n**Day 22:** Fly from Istanbul to Vilnius.\n**Day 22-25:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**London**Prague**Copenhagen**Porto**Oslo**Bucharest",
    "ground_truth_durations": "3**2**4**4**2**4**2**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "London",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You are going to attend a wedding in Oslo between day 14 and day 15. You want to spend 4 days in Porto. You have to attend a workshop in Porto between day 11 and day 14. You want to spend 3 days in Salzburg. You plan to stay in London for 4 days. You plan to visit relatives in London between day 4 and day 7. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 15 and day 16. You would like to visit Copenhagen for 2 days. You want to spend 2 days in Hamburg. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Bucharest, Hamburg and Porto, Oslo and Bucharest, Prague and Bucharest, Copenhagen and Oslo, London and Oslo, Prague and Copenhagen, Prague and Oslo, London and Copenhagen, London and Prague, Hamburg and London, Hamburg and Copenhagen, Porto and Oslo, Copenhagen and Porto, Salzburg and Hamburg, Hamburg and Oslo, Hamburg and Bucharest, London and Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You are going to attend a wedding in Oslo between day 14 and day 15. You want to spend 4 days in Porto. You have to attend a workshop in Porto between day 11 and day 14. You want to spend 3 days in Salzburg. You plan to stay in London for 4 days. You plan to visit relatives in London between day 4 and day 7. You plan to stay in Bucharest for 2 days. You want to meet a friend in Bucharest between day 15 and day 16. You would like to visit Copenhagen for 2 days. You want to spend 2 days in Hamburg. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Bucharest, from Hamburg to Porto, from Oslo to Bucharest, from Prague to Bucharest, from Copenhagen to Oslo, from London to Oslo, from Prague to Copenhagen, from Prague to Oslo, from London to Copenhagen, from London to Prague, from Hamburg to London, from Hamburg to Copenhagen, from Porto to Oslo, from Copenhagen to Porto, from Salzburg to Hamburg, from Hamburg to Oslo, from Hamburg to Bucharest, from London to Bucharest.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-4:** Visit Hamburg for 2 days.\n**Day 4:** Fly from Hamburg to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Copenhagen.\n**Day 10-11:** Visit Copenhagen for 2 days.\n**Day 11:** Fly from Copenhagen to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Oslo.\n**Day 14-15:** Visit Oslo for 2 days.\n**Day 15:** Fly from Oslo to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1061",
    "estimated_output_tokens": 2316,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Salzburg, Duration: 3 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Copenhagen, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 7.\n* City: Porto, Fixed Schedule: Day 11 - 14.\n* City: Oslo, Fixed Schedule: Day 14 - 15.\n* City: Bucharest, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Copenhagen, Hamburg, Prague] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 7).\n |- The departure day of Salzburg is Day 3. The arrival day of London is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg, Prague] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 4 - 7).\n   |- The departure day of Hamburg is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n     |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Hamburg to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 11 - 14).\n     |- The departure day of London is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Salzburg, Hamburg, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Prague] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from London to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 14).\n       |- The departure day of Copenhagen is Day 8. The arrival day of Porto is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Salzburg, Hamburg, London, Copenhagen].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n         |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Copenhagen to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from London to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 14).\n       |- The departure day of Prague is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Hamburg, London, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Prague to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 14).\n         |- The departure day of Copenhagen is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Salzburg, Hamburg, London, Prague, Copenhagen].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Copenhagen to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 14 - 15).\n           |- The departure day of Porto is Day 14. The arrival day of Oslo is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Salzburg, Hamburg, London, Prague, Copenhagen, Porto].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Porto to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 15 - 16).\n             |- The departure day of Oslo is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Salzburg, Hamburg, London, Prague, Copenhagen, Porto, Oslo].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Oslo to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Salzburg, Hamburg, London, Prague, Copenhagen, Porto, Oslo, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-4:** Visit Hamburg for 2 days.\n**Day 4:** Fly from Hamburg to London.\n**Day 4-7:** Visit London for 4 days.\n**Day 7:** Fly from London to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Copenhagen.\n**Day 10-11:** Visit Copenhagen for 2 days.\n**Day 11:** Fly from Copenhagen to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Oslo.\n**Day 14-15:** Visit Oslo for 2 days.\n**Day 15:** Fly from Oslo to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Barcelona**Venice**Athens**Mykonos**Vienna**Helsinki**Dubrovnik",
    "ground_truth_durations": "5**4**2**3**2**5**4**5",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 1 and day 5. You plan to stay in Dubrovnik for 5 days. During day 19 and day 23, you have to attend a conference in Dubrovnik. You want to spend 5 days in Vienna. You plan to stay in Barcelona for 4 days. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 16 and day 19. You would like to visit Mykonos for 2 days. You want to spend 2 days in Venice. You have to attend a workshop in Venice between day 8 and day 9.\n\nHere are the cities that have direct flights:\nMadrid and Mykonos, Venice and Vienna, Madrid and Athens, Madrid and Barcelona, Madrid and Dubrovnik, Barcelona and Vienna, Helsinki and Dubrovnik, Vienna and Dubrovnik, Vienna and Helsinki, Barcelona and Venice, Barcelona and Helsinki, Barcelona and Dubrovnik, Madrid and Helsinki, Athens and Vienna, Mykonos and Vienna, Venice and Athens, Barcelona and Athens, Athens and Mykonos, Madrid and Venice, Venice and Helsinki, Athens and Dubrovnik, Madrid and Vienna.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 1 and day 5. You plan to stay in Dubrovnik for 5 days. During day 19 and day 23, you have to attend a conference in Dubrovnik. You want to spend 5 days in Vienna. You plan to stay in Barcelona for 4 days. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 16 and day 19. You would like to visit Mykonos for 2 days. You want to spend 2 days in Venice. You have to attend a workshop in Venice between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Madrid to Mykonos, from Venice to Vienna, from Madrid to Athens, from Madrid to Barcelona, from Madrid to Dubrovnik, from Barcelona to Vienna, from Helsinki to Dubrovnik, from Vienna to Dubrovnik, from Vienna to Helsinki, from Barcelona to Venice, from Barcelona to Helsinki, from Barcelona to Dubrovnik, from Madrid to Helsinki, from Athens to Vienna, from Mykonos to Vienna, from Venice to Athens, from Barcelona to Athens, from Athens to Mykonos, from Madrid to Venice, from Venice to Helsinki, from Athens to Dubrovnik, from Madrid to Vienna.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Helsinki.\n**Day 16-19:** Visit Helsinki for 4 days.\n**Day 19:** Fly from Helsinki to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1062",
    "estimated_output_tokens": 3052,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Vienna, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Mykonos, Duration: 2 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Venice, Fixed Schedule: Day 8 - 9.\n* City: Helsinki, Fixed Schedule: Day 16 - 19.\n* City: Dubrovnik, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Madrid is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Vienna, Barcelona, Mykonos] and explore these options in order.\n   |- Try arranging to visit Athens from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Athens is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Barcelona, Mykonos] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Athens to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 9).\n     |- The departure day of Vienna is Day 11. The arrival day of Venice is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 8 - 9).\n     |- The departure day of Mykonos is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Athens, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Mykonos to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Madrid to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Vienna is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Barcelona is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Barcelona to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 16 - 19).\n     |- The departure day of Venice is Day 9. The arrival day of Helsinki is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Barcelona, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vienna, Mykonos] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 16 - 19).\n       |- The departure day of Athens is Day 11. The arrival day of Helsinki is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Madrid, Barcelona, Venice, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 16 - 19).\n         |- The departure day of Vienna is Day 15. The arrival day of Helsinki is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Madrid, Barcelona, Venice, Athens, Vienna].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Athens to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 16 - 19).\n         |- The departure day of Mykonos is Day 12. The arrival day of Helsinki is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Madrid, Barcelona, Venice, Athens, Mykonos].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Mykonos to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Helsinki (Day 16 - 19).\n           |- The departure day of Vienna is Day 16. The arrival day of Helsinki is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Barcelona, Venice, Athens, Mykonos, Vienna].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Vienna to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 23).\n             |- The departure day of Helsinki is Day 19. The arrival day of Dubrovnik is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Madrid, Barcelona, Venice, Athens, Mykonos, Vienna, Helsinki].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Helsinki to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Madrid, Barcelona, Venice, Athens, Mykonos, Vienna, Helsinki, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Helsinki.\n**Day 16-19:** Visit Helsinki for 4 days.\n**Day 19:** Fly from Helsinki to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Prague**Milan**Stockholm**Stuttgart**Manchester**Hamburg**Salzburg",
    "ground_truth_durations": "3**3**2**4**4**2**3**3",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Milan"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. During day 1 and day 3, you have to attend a conference in Paris. You would like to visit Prague for 3 days. You plan to visit relatives in Prague between day 3 and day 5. You would like to visit Salzburg for 3 days. You would like to visit Manchester for 2 days. You have to attend a workshop in Manchester between day 12 and day 13. You want to spend 4 days in Stockholm. You are going to attend a wedding in Stockholm between day 6 and day 9. You plan to stay in Stuttgart for 4 days. You plan to stay in Hamburg for 3 days. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nParis and Milan, Milan and Hamburg, Stuttgart and Manchester, Paris and Prague, Stockholm and Manchester, Prague and Manchester, Milan and Manchester, Prague and Milan, Stockholm and Hamburg, Milan and Stuttgart, Paris and Manchester, Stuttgart and Hamburg, Paris and Stockholm, Paris and Hamburg, Prague and Stockholm, Manchester and Hamburg, Milan and Stockholm, Paris and Stuttgart, Hamburg and Salzburg, Stockholm and Stuttgart.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. During day 1 and day 3, you have to attend a conference in Paris. You would like to visit Prague for 3 days. You plan to visit relatives in Prague between day 3 and day 5. You would like to visit Salzburg for 3 days. You would like to visit Manchester for 2 days. You have to attend a workshop in Manchester between day 12 and day 13. You want to spend 4 days in Stockholm. You are going to attend a wedding in Stockholm between day 6 and day 9. You plan to stay in Stuttgart for 4 days. You plan to stay in Hamburg for 3 days. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Paris to Milan, from Milan to Hamburg, from Stuttgart to Manchester, from Paris to Prague, from Stockholm to Manchester, from Prague to Manchester, from Milan to Manchester, from Prague to Milan, from Stockholm to Hamburg, from Milan to Stuttgart, from Paris to Manchester, from Stuttgart to Hamburg, from Paris to Stockholm, from Paris to Hamburg, from Prague to Stockholm, from Manchester to Hamburg, from Milan to Stockholm, from Paris to Stuttgart, from Hamburg to Salzburg, from Stockholm to Stuttgart.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Manchester.\n**Day 12-13:** Visit Manchester for 2 days.\n**Day 13:** Fly from Manchester to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1063",
    "estimated_output_tokens": 2157,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Salzburg, Duration: 3 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 3 - 5.\n* City: Stockholm, Fixed Schedule: Day 6 - 9.\n* City: Manchester, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 5).\n |- The departure day of Paris is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Paris to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 6 - 9).\n   |- The departure day of Prague is Day 5. The arrival day of Stockholm is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Stuttgart, Hamburg, Milan] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 6 - 9).\n     |- The departure day of Milan is Day 6. The arrival day of Stockholm is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Paris, Prague, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Milan to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 12 - 13).\n       |- The departure day of Stockholm is Day 9. The arrival day of Manchester is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Prague, Milan, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Stuttgart, Hamburg] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stockholm to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Stockholm to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 12 - 13).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Manchester is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Prague, Milan, Stockholm, Stuttgart].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Stuttgart to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Paris, Prague, Milan, Stockholm, Stuttgart, Manchester].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Hamburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Manchester to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Manchester to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Prague, Milan, Stockholm, Stuttgart, Manchester, Hamburg].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Hamburg to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Paris, Prague, Milan, Stockholm, Stuttgart, Manchester, Hamburg, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Manchester.\n**Day 12-13:** Visit Manchester for 2 days.\n**Day 13:** Fly from Manchester to Hamburg.\n**Day 13-15:** Visit Hamburg for 3 days.\n**Day 15:** Fly from Hamburg to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Lisbon**Valencia**Bucharest**Hamburg**Rome**Berlin**Tallinn",
    "ground_truth_durations": "2**5**2**5**5**5**4**5",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You want to spend 2 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 2. You would like to visit Valencia for 2 days. You plan to stay in Tallinn for 5 days. During day 22 and day 26, you have to attend a conference in Tallinn. You want to spend 5 days in Bucharest. You would like to visit Rome for 5 days. You plan to stay in Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 2 and day 6. You want to spend 5 days in Hamburg. You would like to meet your friends at Hamburg between day 11 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nBerlin and Tallinn, Bucharest and Hamburg, Frankfurt and Tallinn, Frankfurt and Valencia, Frankfurt and Lisbon, Valencia and Berlin, Frankfurt and Bucharest, Valencia and Bucharest, Lisbon and Hamburg, Frankfurt and Hamburg, Frankfurt and Berlin, Bucharest and Rome, Lisbon and Valencia, Rome and Berlin, Lisbon and Berlin, Frankfurt and Rome, Valencia and Rome, Lisbon and Rome, Lisbon and Bucharest, Hamburg and Rome.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You want to spend 2 days in Frankfurt. You plan to visit relatives in Frankfurt between day 1 and day 2. You would like to visit Valencia for 2 days. You plan to stay in Tallinn for 5 days. During day 22 and day 26, you have to attend a conference in Tallinn. You want to spend 5 days in Bucharest. You would like to visit Rome for 5 days. You plan to stay in Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 2 and day 6. You want to spend 5 days in Hamburg. You would like to meet your friends at Hamburg between day 11 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Berlin to Tallinn, from Bucharest to Hamburg, from Frankfurt to Tallinn, from Frankfurt to Valencia, from Frankfurt to Lisbon, from Valencia to Berlin, from Frankfurt to Bucharest, from Valencia to Bucharest, from Lisbon to Hamburg, from Frankfurt to Hamburg, from Frankfurt to Berlin, from Bucharest to Rome, from Lisbon to Valencia, from Rome to Berlin, from Lisbon to Berlin, from Frankfurt to Rome, from Valencia to Rome, from Lisbon to Rome, from Lisbon to Bucharest, from Hamburg to Rome.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Lisbon.\n**Day 2-6:** Visit Lisbon for 5 days.\n**Day 6:** Fly from Lisbon to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-11:** Visit Bucharest for 5 days.\n**Day 11:** Fly from Bucharest to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Rome.\n**Day 15-19:** Visit Rome for 5 days.\n**Day 19:** Fly from Rome to Berlin.\n**Day 19-22:** Visit Berlin for 4 days.\n**Day 22:** Fly from Berlin to Tallinn.\n**Day 22-26:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1064",
    "estimated_output_tokens": 2726,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Duration: 2 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Bucharest, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 2 - 6.\n* City: Hamburg, Fixed Schedule: Day 11 - 15.\n* City: Tallinn, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Frankfurt is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Frankfurt to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 11 - 15).\n   |- The departure day of Lisbon is Day 6. The arrival day of Hamburg is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Bucharest, Rome] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Berlin is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Lisbon, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Rome] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Berlin to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 11 - 15).\n     |- The departure day of Valencia is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Frankfurt, Lisbon, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Bucharest, Rome] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 15).\n       |- The departure day of Berlin is Day 10. The arrival day of Hamburg is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Frankfurt, Lisbon, Valencia, Berlin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Rome] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Berlin to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Berlin to Rome.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Valencia to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 15).\n       |- The departure day of Bucharest is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Lisbon, Valencia, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Bucharest to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 22 - 26).\n         |- The departure day of Hamburg is Day 15. The arrival day of Tallinn is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Frankfurt, Lisbon, Valencia, Bucharest, Hamburg].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Rome] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Hamburg to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Hamburg to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 22 - 26).\n           |- The departure day of Rome is Day 19. The arrival day of Tallinn is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Lisbon, Valencia, Bucharest, Hamburg, Rome].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Rome to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Tallinn (Day 22 - 26).\n             |- The departure day of Berlin is Day 22. The arrival day of Tallinn is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Frankfurt, Lisbon, Valencia, Bucharest, Hamburg, Rome, Berlin].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Berlin to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Frankfurt, Lisbon, Valencia, Bucharest, Hamburg, Rome, Berlin, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Frankfurt and visit Frankfurt for 2 days.\n**Day 2:** Fly from Frankfurt to Lisbon.\n**Day 2-6:** Visit Lisbon for 5 days.\n**Day 6:** Fly from Lisbon to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Bucharest.\n**Day 7-11:** Visit Bucharest for 5 days.\n**Day 11:** Fly from Bucharest to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Rome.\n**Day 15-19:** Visit Rome for 5 days.\n**Day 19:** Fly from Rome to Berlin.\n**Day 19-22:** Visit Berlin for 4 days.\n**Day 22:** Fly from Berlin to Tallinn.\n**Day 22-26:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Bucharest**Prague**Reykjavik**Stockholm**Dubrovnik**Vienna**Vilnius",
    "ground_truth_durations": "4**2**5**2**5**3**2**2",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You want to spend 3 days in Dubrovnik. During day 14 and day 16, you have to attend a conference in Dubrovnik. You want to spend 2 days in Reykjavik. You plan to stay in Lyon for 4 days. You would like to meet your friends at Lyon between day 1 and day 4 to tour together. You plan to stay in Prague for 5 days. You plan to visit relatives in Prague between day 5 and day 9. You would like to visit Vilnius for 2 days. You want to spend 2 days in Vienna. You want to spend 5 days in Stockholm.\n\nHere are the cities that have direct flights:\nPrague and Reykjavik, Reykjavik and Vienna, Vienna and Vilnius, Stockholm and Vienna, Prague and Stockholm, Bucharest and Prague, Dubrovnik and Vienna, Lyon and Vienna, Bucharest and Vienna, Reykjavik and Stockholm, Lyon and Prague, Prague and Vienna, Lyon and Bucharest, Stockholm and Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You want to spend 3 days in Dubrovnik. During day 14 and day 16, you have to attend a conference in Dubrovnik. You want to spend 2 days in Reykjavik. You plan to stay in Lyon for 4 days. You would like to meet your friends at Lyon between day 1 and day 4 to tour together. You plan to stay in Prague for 5 days. You plan to visit relatives in Prague between day 5 and day 9. You would like to visit Vilnius for 2 days. You want to spend 2 days in Vienna. You want to spend 5 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Prague to Reykjavik, from Reykjavik to Vienna, from Vienna to Vilnius, from Stockholm to Vienna, from Prague to Stockholm, from Bucharest to Prague, from Dubrovnik to Vienna, from Lyon to Vienna, from Bucharest to Vienna, from Reykjavik to Stockholm, from Lyon to Prague, from Prague to Vienna, from Lyon to Bucharest, from Stockholm to Dubrovnik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Bucharest.\n**Day 4-5:** Visit Bucharest for 2 days.\n**Day 5:** Fly from Bucharest to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Dubrovnik.\n**Day 14-16:** Visit Dubrovnik for 3 days.\n**Day 16:** Fly from Dubrovnik to Vienna.\n**Day 16-17:** Visit Vienna for 2 days.\n**Day 17:** Fly from Vienna to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1065",
    "estimated_output_tokens": 2699,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Reykjavik, Duration: 2 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 5 - 9.\n* City: Dubrovnik, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 9).\n |- The departure day of Lyon is Day 4. The arrival day of Prague is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Reykjavik, Vilnius, Vienna, Stockholm] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 5 - 9).\n   |- The departure day of Bucharest is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Bucharest to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 14 - 16).\n     |- The departure day of Prague is Day 9. The arrival day of Dubrovnik is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Bucharest, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Vienna, Stockholm] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 14 - 16).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Dubrovnik is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Bucharest, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna, Stockholm] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 14 - 16).\n         |- The departure day of Vienna is Day 11. The arrival day of Dubrovnik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Vienna].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Stockholm] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 14 - 16).\n           |- The departure day of Vilnius is Day 12. The arrival day of Dubrovnik is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Vienna, Vilnius].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Vilnius to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Vienna to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 14 - 16).\n         |- The departure day of Stockholm is Day 14. The arrival day of Dubrovnik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stockholm to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Stockholm, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Dubrovnik to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Dubrovnik to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Stockholm, Dubrovnik, Vienna].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Vienna to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Lyon, Bucharest, Prague, Reykjavik, Stockholm, Dubrovnik, Vienna, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Bucharest.\n**Day 4-5:** Visit Bucharest for 2 days.\n**Day 5:** Fly from Bucharest to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Dubrovnik.\n**Day 14-16:** Visit Dubrovnik for 3 days.\n**Day 16:** Fly from Dubrovnik to Vienna.\n**Day 16-17:** Visit Vienna for 2 days.\n**Day 17:** Fly from Vienna to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Split**Helsinki**Brussels**Bucharest**London**Mykonos**Madrid",
    "ground_truth_durations": "4**3**5**4**3**5**2**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "London"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Split",
        "London"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "London",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You plan to stay in Bucharest for 3 days. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 1 and day 4. You would like to visit Mykonos for 2 days. You want to spend 2 days in Madrid. During day 20 and day 21, you have to attend a conference in Madrid. You would like to visit Helsinki for 5 days. You would like to visit Split for 3 days. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nHelsinki and London, Split and Madrid, Helsinki and Madrid, London and Madrid, Brussels and London, Bucharest and London, Brussels and Bucharest, Bucharest and Madrid, Split and Helsinki, Mykonos and Madrid, Stuttgart and London, Helsinki and Brussels, Brussels and Madrid, Split and London, Stuttgart and Split, London and Mykonos.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You plan to stay in Bucharest for 3 days. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 1 and day 4. You would like to visit Mykonos for 2 days. You want to spend 2 days in Madrid. During day 20 and day 21, you have to attend a conference in Madrid. You would like to visit Helsinki for 5 days. You would like to visit Split for 3 days. You plan to stay in London for 5 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to London, from Split to Madrid, from Helsinki to Madrid, from London to Madrid, from Brussels to London, from Bucharest to London, from Brussels to Bucharest, from Bucharest to Madrid, from Split to Helsinki, from Mykonos to Madrid, from Stuttgart to London, from Helsinki to Brussels, from Brussels to Madrid, from Split to London, from Stuttgart to Split, from London to Mykonos.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-10:** Visit Helsinki for 5 days.\n**Day 10:** Fly from Helsinki to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to London.\n**Day 15-19:** Visit London for 5 days.\n**Day 19:** Fly from London to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.\n**Day 20:** Fly from Mykonos to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.",
    "id": "trip_planning_example_1066",
    "estimated_output_tokens": 2424,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 2 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Helsinki, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: London, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Madrid, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 20 - 21).\n |- The departure day of Stuttgart is Day 4. The arrival day of Madrid is Day 20. Day 4 is not later than (<=) Day 20. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Bucharest, Mykonos, Helsinki, Split, London] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stuttgart to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 20 - 21).\n   |- The departure day of Split is Day 6. The arrival day of Madrid is Day 20. Day 6 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Bucharest, Mykonos, Helsinki, London] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Split to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Split to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Split to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 20 - 21).\n     |- The departure day of Helsinki is Day 10. The arrival day of Madrid is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stuttgart, Split, Helsinki].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Bucharest, Mykonos, London] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Helsinki to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 20 - 21).\n       |- The departure day of Brussels is Day 13. The arrival day of Madrid is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Split, Helsinki, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Mykonos, London] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Madrid (Day 20 - 21).\n         |- The departure day of Bucharest is Day 15. The arrival day of Madrid is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stuttgart, Split, Helsinki, Brussels, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, London] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Bucharest to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Madrid (Day 20 - 21).\n           |- The departure day of London is Day 19. The arrival day of Madrid is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stuttgart, Split, Helsinki, Brussels, Bucharest, London].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from London to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Madrid (Day 20 - 21).\n             |- The departure day of Mykonos is Day 20. The arrival day of Madrid is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stuttgart, Split, Helsinki, Brussels, Bucharest, London, Mykonos].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Madrid.\n               |- Try arranging to visit Madrid from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Mykonos to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Stuttgart, Split, Helsinki, Brussels, Bucharest, London, Mykonos, Madrid].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-10:** Visit Helsinki for 5 days.\n**Day 10:** Fly from Helsinki to Brussels.\n**Day 10-13:** Visit Brussels for 4 days.\n**Day 13:** Fly from Brussels to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to London.\n**Day 15-19:** Visit London for 5 days.\n**Day 19:** Fly from London to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.\n**Day 20:** Fly from Mykonos to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Dubrovnik**Barcelona**Valencia**Milan**Split**Warsaw**Nice",
    "ground_truth_durations": "2**5**5**5**5**3**5**5",
    "num_cities": 8,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 2,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Milan"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Oslo",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You plan to stay in Barcelona for 5 days. You plan to stay in Warsaw for 5 days. You plan to stay in Valencia for 5 days. You want to spend 5 days in Milan. You are going to attend a wedding in Milan between day 14 and day 18. You plan to stay in Split for 3 days. During day 18 and day 20, you have to attend a conference in Split. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 1 and day 2. You want to spend 5 days in Dubrovnik. From day 2 to day 6, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nOslo and Milan, Milan and Split, Valencia and Warsaw, Warsaw and Nice, Valencia and Milan, Oslo and Barcelona, Barcelona and Milan, Barcelona and Nice, Milan and Warsaw, Oslo and Nice, Oslo and Split, Oslo and Warsaw, Barcelona and Warsaw, Barcelona and Valencia, Dubrovnik and Barcelona, Split and Warsaw, Barcelona and Split, Oslo and Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You plan to stay in Barcelona for 5 days. You plan to stay in Warsaw for 5 days. You plan to stay in Valencia for 5 days. You want to spend 5 days in Milan. You are going to attend a wedding in Milan between day 14 and day 18. You plan to stay in Split for 3 days. During day 18 and day 20, you have to attend a conference in Split. You want to spend 2 days in Oslo. You plan to visit relatives in Oslo between day 1 and day 2. You want to spend 5 days in Dubrovnik. From day 2 to day 6, there is a annual show you want to attend in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Oslo to Milan, from Milan to Split, from Valencia to Warsaw, from Warsaw to Nice, from Valencia to Milan, from Oslo to Barcelona, from Barcelona to Milan, from Barcelona to Nice, from Milan to Warsaw, from Oslo to Nice, from Oslo to Split, from Oslo to Warsaw, from Barcelona to Warsaw, from Barcelona to Valencia, from Dubrovnik to Barcelona, from Split to Warsaw, from Barcelona to Split, from Oslo to Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 28 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-6:** Visit Dubrovnik for 5 days.\n**Day 6:** Fly from Dubrovnik to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Nice.\n**Day 24-28:** Visit Nice for 5 days.",
    "id": "trip_planning_example_1067",
    "estimated_output_tokens": 2560,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Warsaw, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Fixed Schedule: Day 2 - 6.\n* City: Milan, Fixed Schedule: Day 14 - 18.\n* City: Split, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Warsaw, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 6).\n |- The departure day of Oslo is Day 2. The arrival day of Dubrovnik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Oslo to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 14 - 18).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Milan is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Barcelona, Warsaw, Valencia] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 14 - 18).\n     |- The departure day of Barcelona is Day 10. The arrival day of Milan is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Oslo, Dubrovnik, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Valencia] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n       |- The departure day of Nice is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Dubrovnik, Barcelona, Nice].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Nice to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n       |- The departure day of Warsaw is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Dubrovnik, Barcelona, Warsaw].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Warsaw to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n       |- The departure day of Valencia is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Dubrovnik, Barcelona, Valencia].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Valencia to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 18 - 20).\n         |- The departure day of Milan is Day 18. The arrival day of Split is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Oslo, Dubrovnik, Barcelona, Valencia, Milan].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Split.\n           |- Try arranging to visit Split from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Milan to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Oslo, Dubrovnik, Barcelona, Valencia, Milan, Split].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw] and explore these options in order.\n             |- Try arranging to visit Nice from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Split to Nice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Split to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Oslo, Dubrovnik, Barcelona, Valencia, Milan, Split, Warsaw].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n               |- Try arranging to visit Nice from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Warsaw to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Oslo, Dubrovnik, Barcelona, Valencia, Milan, Split, Warsaw, Nice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-6:** Visit Dubrovnik for 5 days.\n**Day 6:** Fly from Dubrovnik to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Nice.\n**Day 24-28:** Visit Nice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Athens**Santorini**Milan**Krakow**Edinburgh**Amsterdam**Seville",
    "ground_truth_durations": "5**4**4**2**5**5**4**2",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Milan"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Krakow",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 20 and day 23. You plan to stay in Krakow for 5 days. You are going to attend a wedding in Krakow between day 12 and day 16. You plan to stay in Santorini for 4 days. You have to attend a workshop in Santorini between day 8 and day 11. You want to spend 2 days in Seville. You want to spend 4 days in Athens. You would like to visit Edinburgh for 5 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nSantorini and Milan, Brussels and Athens, Athens and Edinburgh, Brussels and Milan, Athens and Santorini, Milan and Edinburgh, Santorini and Amsterdam, Milan and Krakow, Krakow and Amsterdam, Brussels and Edinburgh, Milan and Seville, Athens and Amsterdam, Edinburgh and Amsterdam, Athens and Milan, Brussels and Seville, Milan and Amsterdam, Brussels and Krakow, Amsterdam and Seville, Edinburgh and Seville, Krakow and Edinburgh.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 20 and day 23. You plan to stay in Krakow for 5 days. You are going to attend a wedding in Krakow between day 12 and day 16. You plan to stay in Santorini for 4 days. You have to attend a workshop in Santorini between day 8 and day 11. You want to spend 2 days in Seville. You want to spend 4 days in Athens. You would like to visit Edinburgh for 5 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Santorini to Milan, from Brussels to Athens, from Athens to Edinburgh, from Brussels to Milan, from Athens to Santorini, from Milan to Edinburgh, from Santorini to Amsterdam, from Milan to Krakow, from Krakow to Amsterdam, from Brussels to Edinburgh, from Milan to Seville, from Athens to Amsterdam, from Edinburgh to Amsterdam, from Athens to Milan, from Brussels to Seville, from Milan to Amsterdam, from Brussels to Krakow, from Amsterdam to Seville, from Edinburgh to Seville, from Krakow to Edinburgh.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Milan.\n**Day 11-12:** Visit Milan for 2 days.\n**Day 12:** Fly from Milan to Krakow.\n**Day 12-16:** Visit Krakow for 5 days.\n**Day 16:** Fly from Krakow to Edinburgh.\n**Day 16-20:** Visit Edinburgh for 5 days.\n**Day 20:** Fly from Edinburgh to Amsterdam.\n**Day 20-23:** Visit Amsterdam for 4 days.\n**Day 23:** Fly from Amsterdam to Seville.\n**Day 23-24:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1068",
    "estimated_output_tokens": 4885,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Seville, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 8 - 11.\n* City: Krakow, Fixed Schedule: Day 12 - 16.\n* City: Amsterdam, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Athens, Edinburgh, Brussels, Milan] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Seville is Day 2. The arrival day of Santorini is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Edinburgh, Brussels, Milan] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Seville to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Seville to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Athens is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh, Brussels, Milan] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Athens to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n   |- The departure day of Milan is Day 5. The arrival day of Santorini is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh, Brussels] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 11).\n     |- The departure day of Seville is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Athens, Milan, Seville].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Brussels] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Seville to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Seville to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 11).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Santorini is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Edinburgh is Day 5. The arrival day of Santorini is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Athens, Brussels, Milan] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Edinburgh to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 11).\n   |- The departure day of Seville is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Brussels, Milan] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Edinburgh to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Brussels is Day 5. The arrival day of Santorini is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Athens, Edinburgh, Milan] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Brussels to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 11).\n   |- The departure day of Seville is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Edinburgh, Milan] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Brussels to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 8 - 11).\n   |- The departure day of Athens is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 12 - 16).\n     |- The departure day of Santorini is Day 11. The arrival day of Krakow is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Athens, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh, Milan] and explore these options in order.\n       |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Santorini to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Santorini to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 12 - 16).\n       |- The departure day of Milan is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Brussels, Athens, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Milan to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 20 - 23).\n         |- The departure day of Krakow is Day 16. The arrival day of Amsterdam is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Brussels, Athens, Santorini, Milan, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Krakow to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Krakow to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Amsterdam (Day 20 - 23).\n           |- The departure day of Edinburgh is Day 20. The arrival day of Amsterdam is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Brussels, Athens, Santorini, Milan, Krakow, Edinburgh].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Edinburgh to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Brussels, Athens, Santorini, Milan, Krakow, Edinburgh, Amsterdam].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Amsterdam to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Brussels, Athens, Santorini, Milan, Krakow, Edinburgh, Amsterdam, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Milan.\n**Day 11-12:** Visit Milan for 2 days.\n**Day 12:** Fly from Milan to Krakow.\n**Day 12-16:** Visit Krakow for 5 days.\n**Day 16:** Fly from Krakow to Edinburgh.\n**Day 16-20:** Visit Edinburgh for 5 days.\n**Day 20:** Fly from Edinburgh to Amsterdam.\n**Day 20-23:** Visit Amsterdam for 4 days.\n**Day 23:** Fly from Amsterdam to Seville.\n**Day 23-24:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Paris**Florence**Lisbon**Berlin**Krakow**Warsaw**Venice",
    "ground_truth_durations": "5**3**4**2**4**3**5**3",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Krakow"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Bucharest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 10 and day 11. You want to spend 3 days in Venice. From day 20 to day 22, there is a annual show you want to attend in Venice. You want to spend 4 days in Berlin. During day 11 and day 14, you have to attend a conference in Berlin. You want to spend 5 days in Bucharest. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 7 and day 10. You want to spend 3 days in Paris. You want to spend 5 days in Warsaw. You would like to visit Krakow for 3 days.\n\nHere are the cities that have direct flights:\nParis and Krakow, Berlin and Warsaw, Florence and Lisbon, Lisbon and Krakow, Lisbon and Berlin, Berlin and Venice, Bucharest and Lisbon, Paris and Warsaw, Paris and Berlin, Paris and Florence, Paris and Venice, Bucharest and Paris, Berlin and Krakow, Krakow and Warsaw, Paris and Lisbon, Warsaw and Venice, Lisbon and Warsaw, Lisbon and Venice, Bucharest and Warsaw.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 10 and day 11. You want to spend 3 days in Venice. From day 20 to day 22, there is a annual show you want to attend in Venice. You want to spend 4 days in Berlin. During day 11 and day 14, you have to attend a conference in Berlin. You want to spend 5 days in Bucharest. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 7 and day 10. You want to spend 3 days in Paris. You want to spend 5 days in Warsaw. You would like to visit Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Krakow, from Berlin to Warsaw, from Florence to Lisbon, from Lisbon to Krakow, from Lisbon to Berlin, from Berlin to Venice, from Bucharest to Lisbon, from Paris to Warsaw, from Paris to Berlin, from Paris to Florence, from Paris to Venice, from Bucharest to Paris, from Berlin to Krakow, from Krakow to Warsaw, from Paris to Lisbon, from Warsaw to Venice, from Lisbon to Warsaw, from Lisbon to Venice, from Bucharest to Warsaw.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-10:** Visit Florence for 4 days.\n**Day 10:** Fly from Florence to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-20:** Visit Warsaw for 5 days.\n**Day 20:** Fly from Warsaw to Venice.\n**Day 20-22:** Visit Venice for 3 days.",
    "id": "trip_planning_example_1069",
    "estimated_output_tokens": 2290,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Bucharest, Duration: 5 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Paris, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 7 - 10.\n* City: Lisbon, Fixed Schedule: Day 10 - 11.\n* City: Berlin, Fixed Schedule: Day 11 - 14.\n* City: Venice, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Paris, Warsaw, Krakow] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 7 - 10).\n |- The departure day of Bucharest is Day 5. The arrival day of Florence is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Warsaw, Krakow] and explore these options in order.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 10).\n   |- The departure day of Paris is Day 7. The arrival day of Florence is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 10 - 11).\n     |- The departure day of Florence is Day 10. The arrival day of Lisbon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Paris, Florence].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Florence to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 14).\n       |- The departure day of Lisbon is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Bucharest, Paris, Florence, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Lisbon to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 20 - 22).\n         |- The departure day of Berlin is Day 14. The arrival day of Venice is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Paris, Florence, Lisbon, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Krakow] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Berlin to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Venice (Day 20 - 22).\n           |- The departure day of Warsaw is Day 18. The arrival day of Venice is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Paris, Florence, Lisbon, Berlin, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Berlin to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Venice (Day 20 - 22).\n           |- The departure day of Krakow is Day 16. The arrival day of Venice is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Bucharest, Paris, Florence, Lisbon, Berlin, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Krakow to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 20 - 22).\n             |- The departure day of Warsaw is Day 20. The arrival day of Venice is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Bucharest, Paris, Florence, Lisbon, Berlin, Krakow, Warsaw].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Venice.\n               |- Try arranging to visit Venice from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Warsaw to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Bucharest, Paris, Florence, Lisbon, Berlin, Krakow, Warsaw, Venice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Florence.\n**Day 7-10:** Visit Florence for 4 days.\n**Day 10:** Fly from Florence to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-20:** Visit Warsaw for 5 days.\n**Day 20:** Fly from Warsaw to Venice.\n**Day 20-22:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Milan**Madrid**Bucharest**Riga**Lisbon**Zurich**Geneva",
    "ground_truth_durations": "5**4**5**5**5**4**5**3",
    "num_cities": 8,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Riga",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You want to meet a friend in Riga between day 16 and day 20. You plan to stay in Geneva for 3 days. You would like to visit Bucharest for 5 days. You would like to visit Zurich for 5 days. You plan to visit relatives in Zurich between day 23 and day 27. You would like to visit Milan for 4 days. From day 5 to day 8, there is a annual show you want to attend in Milan. You would like to visit Berlin for 5 days. You would like to visit Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 20 and day 23. You would like to visit Madrid for 5 days.\n\nHere are the cities that have direct flights:\nLisbon and Zurich, Bucharest and Zurich, Milan and Zurich, Madrid and Zurich, Berlin and Zurich, Berlin and Lisbon, Berlin and Geneva, Milan and Lisbon, Zurich and Geneva, Bucharest and Riga, Berlin and Riga, Madrid and Bucharest, Lisbon and Geneva, Riga and Lisbon, Milan and Madrid, Madrid and Lisbon, Berlin and Milan, Bucharest and Lisbon, Milan and Riga, Madrid and Geneva, Berlin and Madrid, Riga and Zurich.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You want to meet a friend in Riga between day 16 and day 20. You plan to stay in Geneva for 3 days. You would like to visit Bucharest for 5 days. You would like to visit Zurich for 5 days. You plan to visit relatives in Zurich between day 23 and day 27. You would like to visit Milan for 4 days. From day 5 to day 8, there is a annual show you want to attend in Milan. You would like to visit Berlin for 5 days. You would like to visit Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 20 and day 23. You would like to visit Madrid for 5 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Zurich, from Bucharest to Zurich, from Milan to Zurich, from Madrid to Zurich, from Berlin to Zurich, from Berlin to Lisbon, from Berlin to Geneva, from Milan to Lisbon, from Zurich to Geneva, from Bucharest to Riga, from Berlin to Riga, from Madrid to Bucharest, from Lisbon to Geneva, from Riga to Lisbon, from Milan to Madrid, from Madrid to Lisbon, from Berlin to Milan, from Bucharest to Lisbon, from Milan to Riga, from Madrid to Geneva, from Berlin to Madrid, from Riga to Zurich.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 29 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Bucharest.\n**Day 12-16:** Visit Bucharest for 5 days.\n**Day 16:** Fly from Bucharest to Riga.\n**Day 16-20:** Visit Riga for 5 days.\n**Day 20:** Fly from Riga to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Zurich.\n**Day 23-27:** Visit Zurich for 5 days.\n**Day 27:** Fly from Zurich to Geneva.\n**Day 27-29:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_1070",
    "estimated_output_tokens": 2934,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Geneva, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Berlin, Duration: 5 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Madrid, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 5 - 8.\n* City: Riga, Fixed Schedule: Day 16 - 20.\n* City: Lisbon, Fixed Schedule: Day 20 - 23.\n* City: Zurich, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n* City: Madrid, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Bucharest, Berlin, Madrid] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 8).\n |- The departure day of Geneva is Day 3. The arrival day of Milan is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Berlin, Madrid] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 8).\n |- The departure day of Bucharest is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Bucharest to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 8).\n |- The departure day of Berlin is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 16 - 20).\n   |- The departure day of Milan is Day 8. The arrival day of Riga is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest, Madrid] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Milan to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 16 - 20).\n     |- The departure day of Madrid is Day 12. The arrival day of Riga is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, Milan, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Madrid to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 16 - 20).\n       |- The departure day of Geneva is Day 14. The arrival day of Riga is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Berlin, Milan, Madrid, Geneva].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Geneva to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Madrid to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 16 - 20).\n       |- The departure day of Bucharest is Day 16. The arrival day of Riga is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Berlin, Milan, Madrid, Bucharest].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Bucharest to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 20 - 23).\n         |- The departure day of Riga is Day 20. The arrival day of Lisbon is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Berlin, Milan, Madrid, Bucharest, Riga].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- Yes. The city with an arrival day of Day 20 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n           |- Check for direct flight from Riga to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Zurich (Day 23 - 27).\n           |- The departure day of Lisbon is Day 23. The arrival day of Zurich is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Berlin, Milan, Madrid, Bucharest, Riga, Lisbon].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- Yes. The city with an arrival day of Day 23 - is fixed: Zurich.\n             |- Try arranging to visit Zurich from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n             |- Check for direct flight from Lisbon to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 27. Current plan: [Berlin, Milan, Madrid, Bucharest, Riga, Lisbon, Zurich].\n              |- Check whether the city with an arrival day of Day 27 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n               |- Check for direct flight from Zurich to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Berlin, Milan, Madrid, Bucharest, Riga, Lisbon, Zurich, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Bucharest.\n**Day 12-16:** Visit Bucharest for 5 days.\n**Day 16:** Fly from Bucharest to Riga.\n**Day 16-20:** Visit Riga for 5 days.\n**Day 20:** Fly from Riga to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Zurich.\n**Day 23-27:** Visit Zurich for 5 days.\n**Day 27:** Fly from Zurich to Geneva.\n**Day 27-29:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Nice**Lisbon**Hamburg**Split**Lyon**Prague**Tallinn",
    "ground_truth_durations": "5**4**2**3**3**5**4**3",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Lyon"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Nice",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You would like to visit Prague for 4 days. You would like to visit Tallinn for 3 days. You are going to attend a wedding in Tallinn between day 20 and day 22. You want to spend 3 days in Split. You would like to visit Lyon for 5 days. You plan to stay in Hamburg for 3 days. You have to attend a workshop in Hamburg between day 9 and day 11. You want to spend 4 days in Nice. You plan to stay in Mykonos for 5 days. You plan to visit relatives in Mykonos between day 1 and day 5.\n\nHere are the cities that have direct flights:\nSplit and Lyon, Nice and Hamburg, Hamburg and Split, Lyon and Prague, Mykonos and Nice, Prague and Tallinn, Lisbon and Prague, Lisbon and Lyon, Lisbon and Hamburg, Nice and Lyon, Split and Prague, Nice and Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You would like to visit Prague for 4 days. You would like to visit Tallinn for 3 days. You are going to attend a wedding in Tallinn between day 20 and day 22. You want to spend 3 days in Split. You would like to visit Lyon for 5 days. You plan to stay in Hamburg for 3 days. You have to attend a workshop in Hamburg between day 9 and day 11. You want to spend 4 days in Nice. You plan to stay in Mykonos for 5 days. You plan to visit relatives in Mykonos between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Split to Lyon, from Nice to Hamburg, from Hamburg to Split, from Lyon to Prague, from Mykonos to Nice, from Prague to Tallinn, from Lisbon to Prague, from Lisbon to Lyon, from Lisbon to Hamburg, from Nice to Lyon, from Split to Prague, from Nice to Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-8:** Visit Nice for 4 days.\n**Day 8:** Fly from Nice to Lisbon.\n**Day 8-9:** Visit Lisbon for 2 days.\n**Day 9:** Fly from Lisbon to Hamburg.\n**Day 9-11:** Visit Hamburg for 3 days.\n**Day 11:** Fly from Hamburg to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Prague.\n**Day 17-20:** Visit Prague for 4 days.\n**Day 20:** Fly from Prague to Tallinn.\n**Day 20-22:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1071",
    "estimated_output_tokens": 2538,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Split, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Nice, Duration: 4 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Fixed Schedule: Day 9 - 11.\n* City: Tallinn, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Split, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Nice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 9 - 11).\n |- The departure day of Mykonos is Day 5. The arrival day of Hamburg is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Prague, Split, Lyon, Nice] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 9 - 11).\n   |- The departure day of Nice is Day 8. The arrival day of Hamburg is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Mykonos, Nice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Prague, Split, Lyon] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Nice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 9 - 11).\n     |- The departure day of Lisbon is Day 9. The arrival day of Hamburg is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Nice, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 20 - 22).\n       |- The departure day of Hamburg is Day 11. The arrival day of Tallinn is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Nice, Lisbon, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Split, Lyon] and explore these options in order.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Hamburg to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Hamburg to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 20 - 22).\n         |- The departure day of Split is Day 13. The arrival day of Tallinn is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Nice, Lisbon, Hamburg, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Lyon] and explore these options in order.\n           |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Split to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 20 - 22).\n           |- The departure day of Prague is Day 16. The arrival day of Tallinn is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Nice, Lisbon, Hamburg, Split, Prague].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Prague to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Split to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 20 - 22).\n           |- The departure day of Lyon is Day 17. The arrival day of Tallinn is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Nice, Lisbon, Hamburg, Split, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n             |- Try arranging to visit Prague from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 20 - 22).\n             |- The departure day of Prague is Day 20. The arrival day of Tallinn is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Mykonos, Nice, Lisbon, Hamburg, Split, Lyon, Prague].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Prague to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Mykonos, Nice, Lisbon, Hamburg, Split, Lyon, Prague, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Nice.\n**Day 5-8:** Visit Nice for 4 days.\n**Day 8:** Fly from Nice to Lisbon.\n**Day 8-9:** Visit Lisbon for 2 days.\n**Day 9:** Fly from Lisbon to Hamburg.\n**Day 9-11:** Visit Hamburg for 3 days.\n**Day 11:** Fly from Hamburg to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Prague.\n**Day 17-20:** Visit Prague for 4 days.\n**Day 20:** Fly from Prague to Tallinn.\n**Day 20-22:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Prague**Paris**Venice**Nice**Barcelona**Valencia**Bucharest",
    "ground_truth_durations": "2**3**4**3**5**2**2**5",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Stockholm",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. From day 9 to day 13, there is a annual show you want to attend in Nice. You plan to stay in Paris for 4 days. You would like to visit Valencia for 2 days. You want to spend 2 days in Barcelona. You want to meet a friend in Barcelona between day 13 and day 14. You want to spend 5 days in Bucharest. You have to attend a workshop in Bucharest between day 15 and day 19. You plan to stay in Venice for 3 days. You want to spend 3 days in Prague. You would like to meet your friends at Prague between day 2 and day 4 to tour together. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nStockholm and Paris, Paris and Venice, Paris and Barcelona, Paris and Nice, Barcelona and Bucharest, Prague and Paris, Nice and Barcelona, Paris and Bucharest, Valencia and Bucharest, Venice and Nice, Venice and Barcelona, Stockholm and Prague, Paris and Valencia, Prague and Valencia, Prague and Barcelona, Prague and Bucharest, Stockholm and Nice, Barcelona and Valencia, Stockholm and Barcelona.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. From day 9 to day 13, there is a annual show you want to attend in Nice. You plan to stay in Paris for 4 days. You would like to visit Valencia for 2 days. You want to spend 2 days in Barcelona. You want to meet a friend in Barcelona between day 13 and day 14. You want to spend 5 days in Bucharest. You have to attend a workshop in Bucharest between day 15 and day 19. You plan to stay in Venice for 3 days. You want to spend 3 days in Prague. You would like to meet your friends at Prague between day 2 and day 4 to tour together. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Paris, from Paris to Venice, from Paris to Barcelona, from Paris to Nice, from Barcelona to Bucharest, from Prague to Paris, from Nice to Barcelona, from Paris to Bucharest, from Valencia to Bucharest, from Venice to Nice, from Venice to Barcelona, from Stockholm to Prague, from Paris to Valencia, from Prague to Valencia, from Prague to Barcelona, from Prague to Bucharest, from Stockholm to Nice, from Barcelona to Valencia, from Stockholm to Barcelona.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_1072",
    "estimated_output_tokens": 2721,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Paris, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Venice, Duration: 3 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Stockholm, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 2 - 4.\n* City: Nice, Fixed Schedule: Day 9 - 13.\n* City: Barcelona, Fixed Schedule: Day 13 - 14.\n* City: Bucharest, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Paris, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Valencia, Venice, Stockholm] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Paris is Day 4. The arrival day of Prague is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Valencia is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Venice is Day 3. The arrival day of Prague is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Stockholm is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 9 - 13).\n   |- The departure day of Prague is Day 4. The arrival day of Nice is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Valencia, Venice] and explore these options in order.\n     |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Prague to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 9 - 13).\n     |- The departure day of Paris is Day 7. The arrival day of Nice is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Prague, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Venice] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Paris to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 9 - 13).\n       |- The departure day of Valencia is Day 8. The arrival day of Nice is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Stockholm, Prague, Paris, Valencia].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Valencia to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Paris to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 9 - 13).\n       |- The departure day of Venice is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Stockholm, Prague, Paris, Venice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Venice to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Barcelona (Day 13 - 14).\n         |- The departure day of Nice is Day 13. The arrival day of Barcelona is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, Prague, Paris, Venice, Nice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Barcelona.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Nice to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 15 - 19).\n           |- The departure day of Barcelona is Day 14. The arrival day of Bucharest is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, Prague, Paris, Venice, Nice, Barcelona].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Barcelona to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 15 - 19).\n             |- The departure day of Valencia is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Stockholm, Prague, Paris, Venice, Nice, Barcelona, Valencia].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Valencia to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Stockholm, Prague, Paris, Venice, Nice, Barcelona, Valencia, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Barcelona.\n**Day 13-14:** Visit Barcelona for 2 days.\n**Day 14:** Fly from Barcelona to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Venice**Naples**Rome**Edinburgh**Riga**Copenhagen**Warsaw",
    "ground_truth_durations": "4**2**3**3**4**3**5**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Rome"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Oslo",
        "Naples"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Venice",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 4 days. You would like to visit Venice for 2 days. You are going to attend a wedding in Venice between day 4 and day 5. You want to spend 4 days in Oslo. You want to meet a friend in Oslo between day 1 and day 4. You plan to stay in Rome for 3 days. You plan to stay in Copenhagen for 5 days. You want to spend 3 days in Warsaw. You have to attend a workshop in Warsaw between day 18 and day 20. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 12 and day 14. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nRome and Copenhagen, Oslo and Rome, Venice and Warsaw, Riga and Warsaw, Riga and Copenhagen, Naples and Copenhagen, Rome and Warsaw, Oslo and Warsaw, Oslo and Naples, Naples and Warsaw, Naples and Rome, Oslo and Edinburgh, Edinburgh and Copenhagen, Copenhagen and Warsaw, Oslo and Copenhagen, Venice and Naples, Oslo and Venice, Edinburgh and Riga, Venice and Edinburgh, Venice and Copenhagen, Rome and Edinburgh, Oslo and Riga, from Rome to Riga, Venice and Rome.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 4 days. You would like to visit Venice for 2 days. You are going to attend a wedding in Venice between day 4 and day 5. You want to spend 4 days in Oslo. You want to meet a friend in Oslo between day 1 and day 4. You plan to stay in Rome for 3 days. You plan to stay in Copenhagen for 5 days. You want to spend 3 days in Warsaw. You have to attend a workshop in Warsaw between day 18 and day 20. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 12 and day 14. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Copenhagen, from Oslo to Rome, from Venice to Warsaw, from Riga to Warsaw, from Riga to Copenhagen, from Naples to Copenhagen, from Rome to Warsaw, from Oslo to Warsaw, from Oslo to Naples, from Naples to Warsaw, from Naples to Rome, from Oslo to Edinburgh, from Edinburgh to Copenhagen, from Copenhagen to Warsaw, from Oslo to Copenhagen, from Venice to Naples, from Oslo to Venice, from Edinburgh to Riga, from Venice to Edinburgh, from Venice to Copenhagen, from Rome to Edinburgh, from Oslo to Riga, from Rome to Riga, from Venice to Rome.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Rome.\n**Day 7-9:** Visit Rome for 3 days.\n**Day 9:** Fly from Rome to Edinburgh.\n**Day 9-12:** Visit Edinburgh for 4 days.\n**Day 12:** Fly from Edinburgh to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Copenhagen.\n**Day 14-18:** Visit Copenhagen for 5 days.\n**Day 18:** Fly from Copenhagen to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1073",
    "estimated_output_tokens": 3917,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 4.\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Riga, Fixed Schedule: Day 12 - 14.\n* City: Warsaw, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Oslo is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Oslo to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 12 - 14).\n   |- The departure day of Venice is Day 5. The arrival day of Riga is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Rome, Copenhagen, Naples] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 14).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Riga is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Oslo, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Copenhagen, Naples] and explore these options in order.\n       |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Edinburgh to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 12 - 14).\n       |- The departure day of Copenhagen is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Oslo, Venice, Edinburgh, Copenhagen].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Copenhagen to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Edinburgh to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 14).\n     |- The departure day of Rome is Day 7. The arrival day of Riga is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Venice, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Copenhagen, Naples] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 14).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Riga is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Venice, Rome, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Naples] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Riga (Day 12 - 14).\n         |- The departure day of Copenhagen is Day 14. The arrival day of Riga is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Edinburgh to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 14).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Riga is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Venice, Rome, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Naples] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Copenhagen to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Copenhagen to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 14).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Riga is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Rome, Naples] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Copenhagen to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Copenhagen to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Copenhagen to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 14).\n     |- The departure day of Naples is Day 7. The arrival day of Riga is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Venice, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Rome, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Naples to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Naples to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 14).\n       |- The departure day of Rome is Day 9. The arrival day of Riga is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Venice, Naples, Rome].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Rome to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 12 - 14).\n         |- The departure day of Edinburgh is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Oslo, Venice, Naples, Rome, Edinburgh].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Edinburgh to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 18 - 20).\n           |- The departure day of Riga is Day 14. The arrival day of Warsaw is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Oslo, Venice, Naples, Rome, Edinburgh, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 18 - 20).\n             |- The departure day of Copenhagen is Day 18. The arrival day of Warsaw is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Venice, Naples, Rome, Edinburgh, Riga, Copenhagen].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Copenhagen to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Oslo, Venice, Naples, Rome, Edinburgh, Riga, Copenhagen, Warsaw].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Oslo and visit Oslo for 4 days.\n**Day 4:** Fly from Oslo to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Rome.\n**Day 7-9:** Visit Rome for 3 days.\n**Day 9:** Fly from Rome to Edinburgh.\n**Day 9-12:** Visit Edinburgh for 4 days.\n**Day 12:** Fly from Edinburgh to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Copenhagen.\n**Day 14-18:** Visit Copenhagen for 5 days.\n**Day 18:** Fly from Copenhagen to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Prague**Madrid**Porto**Stuttgart**Split**Zurich**Bucharest",
    "ground_truth_durations": "3**5**5**4**4**4**4**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 5 days. You would like to visit Vienna for 3 days. You have to attend a workshop in Vienna between day 1 and day 3. You plan to stay in Split for 4 days. From day 17 to day 20, there is a annual show you want to attend in Split. You would like to visit Porto for 4 days. You want to spend 5 days in Prague. You want to meet a friend in Prague between day 3 and day 7. You plan to stay in Zurich for 4 days. You would like to meet your friends at Zurich between day 20 and day 23 to tour together. You want to spend 3 days in Bucharest. You plan to stay in Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nVienna and Zurich, Madrid and Porto, Vienna and Stuttgart, Prague and Split, Split and Zurich, Madrid and Bucharest, Prague and Madrid, Vienna and Bucharest, Zurich and Bucharest, Madrid and Zurich, Stuttgart and Split, Prague and Bucharest, Vienna and Madrid, Vienna and Porto, Porto and Zurich, Prague and Zurich, Madrid and Split, Vienna and Split, Porto and Stuttgart, Vienna and Prague.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 5 days. You would like to visit Vienna for 3 days. You have to attend a workshop in Vienna between day 1 and day 3. You plan to stay in Split for 4 days. From day 17 to day 20, there is a annual show you want to attend in Split. You would like to visit Porto for 4 days. You want to spend 5 days in Prague. You want to meet a friend in Prague between day 3 and day 7. You plan to stay in Zurich for 4 days. You would like to meet your friends at Zurich between day 20 and day 23 to tour together. You want to spend 3 days in Bucharest. You plan to stay in Stuttgart for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Zurich, from Madrid to Porto, from Vienna to Stuttgart, from Prague to Split, from Split to Zurich, from Madrid to Bucharest, from Prague to Madrid, from Vienna to Bucharest, from Zurich to Bucharest, from Madrid to Zurich, from Stuttgart to Split, from Prague to Bucharest, from Vienna to Madrid, from Vienna to Porto, from Porto to Zurich, from Prague to Zurich, from Madrid to Split, from Vienna to Split, from Porto to Stuttgart, from Vienna to Prague.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Prague.\n**Day 3-7:** Visit Prague for 5 days.\n**Day 7:** Fly from Prague to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-20:** Visit Split for 4 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-23:** Visit Zurich for 4 days.\n**Day 23:** Fly from Zurich to Bucharest.\n**Day 23-25:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_1074",
    "estimated_output_tokens": 2017,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 5 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Porto, Duration: 4 days.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 3 - 7.\n* City: Split, Fixed Schedule: Day 17 - 20.\n* City: Zurich, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Madrid, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 7).\n |- The departure day of Vienna is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vienna to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 17 - 20).\n   |- The departure day of Prague is Day 7. The arrival day of Split is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vienna, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Porto, Bucharest, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Prague to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 17 - 20).\n     |- The departure day of Madrid is Day 11. The arrival day of Split is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vienna, Prague, Madrid].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Bucharest, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Madrid to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 17 - 20).\n       |- The departure day of Porto is Day 14. The arrival day of Split is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vienna, Prague, Madrid, Porto].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Porto to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Porto to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 17 - 20).\n         |- The departure day of Stuttgart is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vienna, Prague, Madrid, Porto, Stuttgart].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n           |- Try arranging to visit Split from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Stuttgart to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Zurich (Day 20 - 23).\n           |- The departure day of Split is Day 20. The arrival day of Zurich is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Vienna, Prague, Madrid, Porto, Stuttgart, Split].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Zurich.\n             |- Try arranging to visit Zurich from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Split to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Vienna, Prague, Madrid, Porto, Stuttgart, Split, Zurich].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Zurich to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Vienna, Prague, Madrid, Porto, Stuttgart, Split, Zurich, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vienna and visit Vienna for 3 days.\n**Day 3:** Fly from Vienna to Prague.\n**Day 3-7:** Visit Prague for 5 days.\n**Day 7:** Fly from Prague to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-20:** Visit Split for 4 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-23:** Visit Zurich for 4 days.\n**Day 23:** Fly from Zurich to Bucharest.\n**Day 23-25:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Edinburgh**Prague**Reykjavik**Vienna**Manchester**Split**Lyon",
    "ground_truth_durations": "5**4**4**5**4**2**5**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You would like to visit Lyon for 3 days. You plan to stay in Edinburgh for 4 days. From day 5 to day 8, there is a annual show you want to attend in Edinburgh. You want to spend 5 days in Reykjavik. You want to spend 5 days in Stuttgart. You would like to visit Manchester for 2 days. You want to spend 5 days in Split. You are going to attend a wedding in Split between day 19 and day 23. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, Stuttgart and Split, Stuttgart and Vienna, Prague and Manchester, Edinburgh and Prague, from Manchester to Split, Prague and Vienna, Vienna and Manchester, Prague and Split, Vienna and Lyon, Stuttgart and Edinburgh, Split and Lyon, Stuttgart and Manchester, Prague and Lyon, Reykjavik and Vienna, Prague and Reykjavik, Vienna and Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You would like to visit Lyon for 3 days. You plan to stay in Edinburgh for 4 days. From day 5 to day 8, there is a annual show you want to attend in Edinburgh. You want to spend 5 days in Reykjavik. You want to spend 5 days in Stuttgart. You would like to visit Manchester for 2 days. You want to spend 5 days in Split. You are going to attend a wedding in Split between day 19 and day 23. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, from Stuttgart to Split, from Stuttgart to Vienna, from Prague to Manchester, from Edinburgh to Prague, from Manchester to Split, from Prague to Vienna, from Vienna to Manchester, from Prague to Split, from Vienna to Lyon, from Stuttgart to Edinburgh, from Split to Lyon, from Stuttgart to Manchester, from Prague to Lyon, from Reykjavik to Vienna, from Prague to Reykjavik, from Vienna to Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Vienna.\n**Day 15-18:** Visit Vienna for 4 days.\n**Day 18:** Fly from Vienna to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Split.\n**Day 19-23:** Visit Split for 5 days.\n**Day 23:** Fly from Split to Lyon.\n**Day 23-25:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_1075",
    "estimated_output_tokens": 4986,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 5 - 8.\n* City: Split, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Lyon, Reykjavik, Stuttgart, Manchester, Prague] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 8).\n |- The departure day of Vienna is Day 4. The arrival day of Edinburgh is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Stuttgart, Manchester, Prague] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vienna to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 8).\n   |- The departure day of Lyon is Day 6. The arrival day of Edinburgh is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vienna to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 8).\n   |- The departure day of Manchester is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Manchester to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vienna to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 8).\n |- The departure day of Lyon is Day 3. The arrival day of Edinburgh is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Reykjavik, Stuttgart, Manchester, Prague] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 8).\n |- The departure day of Reykjavik is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 8).\n |- The departure day of Stuttgart is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 19 - 23).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Split is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Reykjavik, Manchester, Prague] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Edinburgh to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Edinburgh to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 19 - 23).\n     |- The departure day of Prague is Day 11. The arrival day of Split is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Edinburgh, Prague].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Reykjavik, Manchester] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Prague to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 19 - 23).\n       |- The departure day of Vienna is Day 14. The arrival day of Split is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Edinburgh, Prague, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Manchester] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vienna to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 19 - 23).\n         |- The departure day of Lyon is Day 16. The arrival day of Split is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stuttgart, Edinburgh, Prague, Vienna, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Lyon to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lyon to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Vienna to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Vienna to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 19 - 23).\n         |- The departure day of Manchester is Day 15. The arrival day of Split is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stuttgart, Edinburgh, Prague, Vienna, Manchester].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Manchester to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Manchester to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Prague to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 19 - 23).\n       |- The departure day of Lyon is Day 13. The arrival day of Split is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Edinburgh, Prague, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Reykjavik, Manchester] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Lyon to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lyon to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lyon to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 19 - 23).\n       |- The departure day of Reykjavik is Day 15. The arrival day of Split is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stuttgart, Edinburgh, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Lyon, Manchester] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Reykjavik to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 19 - 23).\n         |- The departure day of Vienna is Day 18. The arrival day of Split is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Edinburgh, Prague, Reykjavik, Vienna].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Vienna to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Split (Day 19 - 23).\n           |- The departure day of Lyon is Day 20. The arrival day of Split is Day 19. Day 20 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Manchester from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Vienna to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Split (Day 19 - 23).\n           |- The departure day of Manchester is Day 19. The arrival day of Split is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stuttgart, Edinburgh, Prague, Reykjavik, Vienna, Manchester].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Split.\n             |- Try arranging to visit Split from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Manchester to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Stuttgart, Edinburgh, Prague, Reykjavik, Vienna, Manchester, Split].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Split to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Stuttgart, Edinburgh, Prague, Reykjavik, Vienna, Manchester, Split, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Vienna.\n**Day 15-18:** Visit Vienna for 4 days.\n**Day 18:** Fly from Vienna to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Split.\n**Day 19-23:** Visit Split for 5 days.\n**Day 23:** Fly from Split to Lyon.\n**Day 23-25:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Prague**Istanbul**Vienna**Reykjavik**Dublin**Hamburg**Salzburg",
    "ground_truth_durations": "4**3**2**2**4**2**3**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You want to spend 4 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 8 and day 11. You plan to stay in Hamburg for 3 days. You want to spend 3 days in Prague. You want to meet a friend in Prague between day 4 and day 6. You plan to stay in Salzburg for 2 days. You would like to visit Lisbon for 4 days. You have to attend a workshop in Lisbon between day 1 and day 4. You would like to visit Dublin for 2 days. You plan to stay in Vienna for 2 days. You would like to meet your friends at Vienna between day 7 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nIstanbul and Hamburg, Istanbul and Salzburg, Prague and Vienna, Lisbon and Hamburg, Lisbon and Dublin, Vienna and Hamburg, Dublin and Hamburg, Lisbon and Reykjavik, Hamburg and Salzburg, Istanbul and Dublin, Lisbon and Vienna, Prague and Dublin, Prague and Istanbul, Vienna and Dublin, Prague and Reykjavik, Vienna and Reykjavik, Lisbon and Prague, Reykjavik and Dublin, Lisbon and Istanbul, Istanbul and Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You want to spend 4 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 8 and day 11. You plan to stay in Hamburg for 3 days. You want to spend 3 days in Prague. You want to meet a friend in Prague between day 4 and day 6. You plan to stay in Salzburg for 2 days. You would like to visit Lisbon for 4 days. You have to attend a workshop in Lisbon between day 1 and day 4. You would like to visit Dublin for 2 days. You plan to stay in Vienna for 2 days. You would like to meet your friends at Vienna between day 7 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Hamburg, from Istanbul to Salzburg, from Prague to Vienna, from Lisbon to Hamburg, from Lisbon to Dublin, from Vienna to Hamburg, from Dublin to Hamburg, from Lisbon to Reykjavik, from Hamburg to Salzburg, from Istanbul to Dublin, from Lisbon to Vienna, from Prague to Dublin, from Prague to Istanbul, from Vienna to Dublin, from Prague to Reykjavik, from Vienna to Reykjavik, from Lisbon to Prague, from Reykjavik to Dublin, from Lisbon to Istanbul, from Istanbul to Vienna.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1076",
    "estimated_output_tokens": 2049,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Hamburg, Duration: 3 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Salzburg, Duration: 2 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Duration: 2 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 4 - 6.\n* City: Vienna, Fixed Schedule: Day 7 - 8.\n* City: Reykjavik, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 6).\n |- The departure day of Lisbon is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lisbon to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 7 - 8).\n   |- The departure day of Prague is Day 6. The arrival day of Vienna is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Hamburg, Salzburg, Dublin] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 7 - 8).\n     |- The departure day of Istanbul is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lisbon, Prague, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Istanbul to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 8 - 11).\n       |- The departure day of Vienna is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Lisbon, Prague, Istanbul, Vienna].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Vienna to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lisbon, Prague, Istanbul, Vienna, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg, Dublin] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Reykjavik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Reykjavik to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Reykjavik to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Lisbon, Prague, Istanbul, Vienna, Reykjavik, Dublin].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Dublin to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Lisbon, Prague, Istanbul, Vienna, Reykjavik, Dublin, Hamburg].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Hamburg to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Lisbon, Prague, Istanbul, Vienna, Reykjavik, Dublin, Hamburg, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Dublin.\n**Day 11-12:** Visit Dublin for 2 days.\n**Day 12:** Fly from Dublin to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Porto**Edinburgh**Milan**Warsaw**Vienna**Munich**Tallinn",
    "ground_truth_durations": "4**5**5**3**5**2**5**5",
    "num_cities": 8,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Munich"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Porto",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vienna. You would like to meet your friends at Vienna between day 18 and day 19 to tour together. You plan to stay in Munich for 5 days. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 14 and day 18. You want to spend 5 days in Edinburgh. You plan to stay in Lyon for 4 days. You plan to stay in Tallinn for 5 days. During day 23 and day 27, you have to attend a conference in Tallinn. You would like to visit Milan for 3 days. You plan to stay in Porto for 5 days.\n\nHere are the cities that have direct flights:\nLyon and Munich, Milan and Warsaw, Lyon and Porto, Edinburgh and Milan, Vienna and Munich, Lyon and Vienna, Porto and Milan, Munich and Tallinn, Edinburgh and Munich, Porto and Warsaw, Warsaw and Vienna, Porto and Vienna, Milan and Munich, Warsaw and Tallinn, Porto and Munich, Milan and Vienna, Warsaw and Munich, Porto and Edinburgh.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vienna. You would like to meet your friends at Vienna between day 18 and day 19 to tour together. You plan to stay in Munich for 5 days. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 14 and day 18. You want to spend 5 days in Edinburgh. You plan to stay in Lyon for 4 days. You plan to stay in Tallinn for 5 days. During day 23 and day 27, you have to attend a conference in Tallinn. You would like to visit Milan for 3 days. You plan to stay in Porto for 5 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Munich, from Milan to Warsaw, from Lyon to Porto, from Edinburgh to Milan, from Vienna to Munich, from Lyon to Vienna, from Porto to Milan, from Munich to Tallinn, from Edinburgh to Munich, from Porto to Warsaw, from Warsaw to Vienna, from Porto to Vienna, from Milan to Munich, from Warsaw to Tallinn, from Porto to Munich, from Milan to Vienna, from Warsaw to Munich, from Porto to Edinburgh.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 27 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Porto.\n**Day 4-8:** Visit Porto for 5 days.\n**Day 8:** Fly from Porto to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Warsaw.\n**Day 14-18:** Visit Warsaw for 5 days.\n**Day 18:** Fly from Warsaw to Vienna.\n**Day 18-19:** Visit Vienna for 2 days.\n**Day 19:** Fly from Vienna to Munich.\n**Day 19-23:** Visit Munich for 5 days.\n**Day 23:** Fly from Munich to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1077",
    "estimated_output_tokens": 4505,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Munich, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Edinburgh, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Milan, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 14 - 18.\n* City: Vienna, Fixed Schedule: Day 18 - 19.\n* City: Tallinn, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Edinburgh, Lyon, Milan, Porto] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 18).\n |- The departure day of Munich is Day 5. The arrival day of Warsaw is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Lyon, Milan, Porto] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Munich to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Munich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Munich to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Munich to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 18).\n |- The departure day of Edinburgh is Day 5. The arrival day of Warsaw is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Lyon, Milan, Porto] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 14 - 18).\n   |- The departure day of Munich is Day 9. The arrival day of Warsaw is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Milan, Porto] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Munich to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 14 - 18).\n   |- The departure day of Milan is Day 7. The arrival day of Warsaw is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Lyon, Porto] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 14 - 18).\n     |- The departure day of Munich is Day 11. The arrival day of Warsaw is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Milan, Munich].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Porto] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Munich to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Munich to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 18).\n |- The departure day of Lyon is Day 4. The arrival day of Warsaw is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Edinburgh, Milan, Porto] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 14 - 18).\n   |- The departure day of Munich is Day 8. The arrival day of Warsaw is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Milan, Porto] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Munich to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 14 - 18).\n   |- The departure day of Porto is Day 8. The arrival day of Warsaw is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Porto].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Edinburgh, Milan] and explore these options in order.\n     |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Porto to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 14 - 18).\n     |- The departure day of Munich is Day 12. The arrival day of Warsaw is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Porto, Munich].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Milan] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Munich to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Munich to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Porto to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 14 - 18).\n     |- The departure day of Edinburgh is Day 12. The arrival day of Warsaw is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Porto, Edinburgh].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Milan] and explore these options in order.\n       |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Edinburgh to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 14 - 18).\n       |- The departure day of Munich is Day 16. The arrival day of Warsaw is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Edinburgh to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 14 - 18).\n       |- The departure day of Milan is Day 14. The arrival day of Warsaw is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lyon, Porto, Edinburgh, Milan].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Milan to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vienna (Day 18 - 19).\n         |- The departure day of Warsaw is Day 18. The arrival day of Vienna is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Lyon, Porto, Edinburgh, Milan, Warsaw].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Warsaw to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Tallinn (Day 23 - 27).\n           |- The departure day of Vienna is Day 19. The arrival day of Tallinn is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Lyon, Porto, Edinburgh, Milan, Warsaw, Vienna].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n             |- Try arranging to visit Munich from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vienna to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Tallinn (Day 23 - 27).\n             |- The departure day of Munich is Day 23. The arrival day of Tallinn is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Lyon, Porto, Edinburgh, Milan, Warsaw, Vienna, Munich].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Munich to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Lyon, Porto, Edinburgh, Milan, Warsaw, Vienna, Munich, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Porto.\n**Day 4-8:** Visit Porto for 5 days.\n**Day 8:** Fly from Porto to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Warsaw.\n**Day 14-18:** Visit Warsaw for 5 days.\n**Day 18:** Fly from Warsaw to Vienna.\n**Day 18-19:** Visit Vienna for 2 days.\n**Day 19:** Fly from Vienna to Munich.\n**Day 19-23:** Visit Munich for 5 days.\n**Day 23:** Fly from Munich to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Warsaw**Manchester**Seville**Dublin**Santorini**Geneva**Mykonos",
    "ground_truth_durations": "4**3**4**5**2**2**4**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 14,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Seville"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Manchester",
        "Dublin"
      ],
      [
        "Seville",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You would like to visit Geneva for 4 days. You would like to visit Manchester for 4 days. From day 6 to day 9, there is a annual show you want to attend in Manchester. You want to spend 2 days in Dublin. You have to attend a workshop in Dublin between day 13 and day 14. You would like to visit Mykonos for 4 days. You want to spend 4 days in Porto. You would like to visit Warsaw for 3 days. You plan to visit relatives in Warsaw between day 4 and day 6. You would like to visit Santorini for 2 days. You want to meet a friend in Santorini between day 14 and day 15.\n\nHere are the cities that have direct flights:\nManchester and Seville, Warsaw and Geneva, Manchester and Santorini, Porto and Seville, Manchester and Geneva, Porto and Manchester, Dublin and Santorini, Porto and Warsaw, Santorini and Geneva, Dublin and Geneva, Porto and Dublin, Warsaw and Manchester, Porto and Geneva, Geneva and Mykonos, Manchester and Dublin, Seville and Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Seville. You would like to visit Geneva for 4 days. You would like to visit Manchester for 4 days. From day 6 to day 9, there is a annual show you want to attend in Manchester. You want to spend 2 days in Dublin. You have to attend a workshop in Dublin between day 13 and day 14. You would like to visit Mykonos for 4 days. You want to spend 4 days in Porto. You would like to visit Warsaw for 3 days. You plan to visit relatives in Warsaw between day 4 and day 6. You would like to visit Santorini for 2 days. You want to meet a friend in Santorini between day 14 and day 15.\n\nHere are the cities that have direct flights:\nfrom Manchester to Seville, from Warsaw to Geneva, from Manchester to Santorini, from Porto to Seville, from Manchester to Geneva, from Porto to Manchester, from Dublin to Santorini, from Porto to Warsaw, from Santorini to Geneva, from Dublin to Geneva, from Porto to Dublin, from Warsaw to Manchester, from Porto to Geneva, from Geneva to Mykonos, from Manchester to Dublin, from Seville to Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Dublin.\n**Day 13-14:** Visit Dublin for 2 days.\n**Day 14:** Fly from Dublin to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Geneva.\n**Day 15-18:** Visit Geneva for 4 days.\n**Day 18:** Fly from Geneva to Mykonos.\n**Day 18-21:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1078",
    "estimated_output_tokens": 2592,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Mykonos, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 4 - 6.\n* City: Manchester, Fixed Schedule: Day 6 - 9.\n* City: Dublin, Fixed Schedule: Day 13 - 14.\n* City: Santorini, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Geneva, Mykonos, Porto] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 6).\n |- The departure day of Seville is Day 5. The arrival day of Warsaw is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 6).\n |- The departure day of Geneva is Day 4. The arrival day of Warsaw is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Warsaw.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 6).\n |- The departure day of Mykonos is Day 4. The arrival day of Warsaw is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Warsaw.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 4 - 6).\n |- The departure day of Porto is Day 4. The arrival day of Warsaw is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Porto to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 6 - 9).\n   |- The departure day of Warsaw is Day 6. The arrival day of Manchester is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Warsaw to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 13 - 14).\n     |- The departure day of Manchester is Day 9. The arrival day of Dublin is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Warsaw, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Geneva, Mykonos] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 13 - 14).\n       |- The departure day of Seville is Day 13. The arrival day of Dublin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Warsaw, Manchester, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Seville to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 14 - 15).\n         |- The departure day of Dublin is Day 14. The arrival day of Santorini is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Warsaw, Manchester, Seville, Dublin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Santorini.\n           |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Dublin to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Porto, Warsaw, Manchester, Seville, Dublin, Santorini].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Santorini to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Porto, Warsaw, Manchester, Seville, Dublin, Santorini, Geneva].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Geneva to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Porto, Warsaw, Manchester, Seville, Dublin, Santorini, Geneva, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Dublin.\n**Day 13-14:** Visit Dublin for 2 days.\n**Day 14:** Fly from Dublin to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Geneva.\n**Day 15-18:** Visit Geneva for 4 days.\n**Day 18:** Fly from Geneva to Mykonos.\n**Day 18-21:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Porto**Berlin**Naples**Valencia**Prague**Riga**Hamburg",
    "ground_truth_durations": "3**2**2**3**5**5**5**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Prague"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Oslo",
        "Naples"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Berlin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You have to attend a workshop in Porto between day 3 and day 4. You would like to visit Riga for 5 days. You would like to visit Prague for 5 days. You would like to visit Berlin for 2 days. You plan to stay in Hamburg for 2 days. You would like to visit Valencia for 5 days. You plan to stay in Oslo for 3 days. From day 1 to day 3, there is a annual show you want to attend in Oslo. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nOslo and Prague, Porto and Berlin, Berlin and Naples, from Riga to Hamburg, Porto and Hamburg, Prague and Riga, Oslo and Hamburg, Oslo and Berlin, Oslo and Porto, Naples and Valencia, Porto and Valencia, Berlin and Riga, Oslo and Riga, Oslo and Naples, Valencia and Prague, Berlin and Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You have to attend a workshop in Porto between day 3 and day 4. You would like to visit Riga for 5 days. You would like to visit Prague for 5 days. You would like to visit Berlin for 2 days. You plan to stay in Hamburg for 2 days. You would like to visit Valencia for 5 days. You plan to stay in Oslo for 3 days. From day 1 to day 3, there is a annual show you want to attend in Oslo. You plan to stay in Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Prague, from Porto to Berlin, from Berlin to Naples, from Riga to Hamburg, from Porto to Hamburg, from Prague to Riga, from Oslo to Hamburg, from Oslo to Berlin, from Oslo to Porto, from Naples to Valencia, from Porto to Valencia, from Berlin to Riga, from Oslo to Riga, from Oslo to Naples, from Valencia to Prague, from Berlin to Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Porto.\n**Day 3-4:** Visit Porto for 2 days.\n**Day 4:** Fly from Porto to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-15:** Visit Prague for 5 days.\n**Day 15:** Fly from Prague to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Hamburg.\n**Day 19-20:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_1079",
    "estimated_output_tokens": 3853,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Riga, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 3.\n* City: Porto, Fixed Schedule: Day 3 - 4.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 4).\n |- The departure day of Oslo is Day 3. The arrival day of Porto is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Berlin, Hamburg, Valencia, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Porto to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Oslo, Porto, Berlin].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Hamburg, Valencia, Naples] and explore these options in order.\n       |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Berlin to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Porto, Berlin, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Hamburg, Valencia, Naples] and explore these options in order.\n         |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Riga to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Oslo, Porto, Berlin, Riga, Hamburg].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Valencia, Naples] and explore these options in order.\n           |- Try arranging to visit Prague from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Hamburg to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Hamburg to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Hamburg to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Berlin to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Berlin to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Porto, Berlin, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Hamburg, Naples] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Oslo, Porto, Berlin, Valencia, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Hamburg, Naples] and explore these options in order.\n           |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Prague to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Oslo, Porto, Berlin, Valencia, Prague, Riga].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Naples] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Riga to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Porto, Berlin, Valencia, Prague, Riga, Hamburg].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n               |- Try arranging to visit Naples from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Hamburg to Naples.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Naples from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Riga to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Prague to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Prague to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Valencia to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Valencia to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Berlin to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Oslo, Porto, Berlin, Naples].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Hamburg, Valencia] and explore these options in order.\n         |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Naples to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Naples to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Naples to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Oslo, Porto, Berlin, Naples, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Hamburg] and explore these options in order.\n           |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Valencia to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Valencia to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Oslo, Porto, Berlin, Naples, Valencia, Prague].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Hamburg] and explore these options in order.\n             |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Prague to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Oslo, Porto, Berlin, Naples, Valencia, Prague, Riga].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Riga to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Oslo, Porto, Berlin, Naples, Valencia, Prague, Riga, Hamburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Porto.\n**Day 3-4:** Visit Porto for 2 days.\n**Day 4:** Fly from Porto to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Naples.\n**Day 5-7:** Visit Naples for 3 days.\n**Day 7:** Fly from Naples to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-15:** Visit Prague for 5 days.\n**Day 15:** Fly from Prague to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Hamburg.\n**Day 19-20:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Paris**Stuttgart**Copenhagen**Prague**Florence**Brussels**Geneva",
    "ground_truth_durations": "5**5**3**2**5**5**4**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 23,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Florence"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You want to spend 5 days in Helsinki. You are going to attend a wedding in Helsinki between day 1 and day 5. You plan to stay in Geneva for 3 days. You would like to meet your friends at Geneva between day 23 and day 25 to tour together. You want to spend 5 days in Prague. During day 12 and day 16, you have to attend a conference in Prague. You plan to stay in Brussels for 4 days. You want to spend 5 days in Paris. You want to spend 5 days in Florence. You want to spend 2 days in Copenhagen. You want to meet a friend in Copenhagen between day 11 and day 12.\n\nHere are the cities that have direct flights:\nPrague and Florence, Florence and Brussels, Paris and Geneva, Helsinki and Copenhagen, Prague and Brussels, Brussels and Geneva, Paris and Brussels, Helsinki and Brussels, Helsinki and Prague, Helsinki and Paris, Paris and Florence, Paris and Copenhagen, Prague and Geneva, Paris and Prague, Helsinki and Geneva, Copenhagen and Geneva, Copenhagen and Prague, Paris and Stuttgart, Stuttgart and Copenhagen, Copenhagen and Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You want to spend 5 days in Helsinki. You are going to attend a wedding in Helsinki between day 1 and day 5. You plan to stay in Geneva for 3 days. You would like to meet your friends at Geneva between day 23 and day 25 to tour together. You want to spend 5 days in Prague. During day 12 and day 16, you have to attend a conference in Prague. You plan to stay in Brussels for 4 days. You want to spend 5 days in Paris. You want to spend 5 days in Florence. You want to spend 2 days in Copenhagen. You want to meet a friend in Copenhagen between day 11 and day 12.\n\nHere are the cities that have direct flights:\nfrom Prague to Florence, from Florence to Brussels, from Paris to Geneva, from Helsinki to Copenhagen, from Prague to Brussels, from Brussels to Geneva, from Paris to Brussels, from Helsinki to Brussels, from Helsinki to Prague, from Helsinki to Paris, from Paris to Florence, from Paris to Copenhagen, from Prague to Geneva, from Paris to Prague, from Helsinki to Geneva, from Copenhagen to Geneva, from Copenhagen to Prague, from Paris to Stuttgart, from Stuttgart to Copenhagen, from Copenhagen to Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-12:** Visit Copenhagen for 2 days.\n**Day 12:** Fly from Copenhagen to Prague.\n**Day 12-16:** Visit Prague for 5 days.\n**Day 16:** Fly from Prague to Florence.\n**Day 16-20:** Visit Florence for 5 days.\n**Day 20:** Fly from Florence to Brussels.\n**Day 20-23:** Visit Brussels for 4 days.\n**Day 23:** Fly from Brussels to Geneva.\n**Day 23-25:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_1080",
    "estimated_output_tokens": 2648,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 23 - 25.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Brussels, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Fixed Schedule: Day 11 - 12.\n* City: Prague, Fixed Schedule: Day 12 - 16.\n* City: Geneva, Fixed Schedule: Day 23 - 25.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 11 - 12).\n |- The departure day of Helsinki is Day 5. The arrival day of Copenhagen is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Brussels, Paris, Florence] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Helsinki to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Helsinki to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 11 - 12).\n   |- The departure day of Brussels is Day 8. The arrival day of Copenhagen is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Helsinki, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Paris, Florence] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Brussels to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Brussels to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Brussels to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 11 - 12).\n   |- The departure day of Paris is Day 9. The arrival day of Copenhagen is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Helsinki, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Brussels, Florence] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Paris to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 11 - 12).\n     |- The departure day of Stuttgart is Day 11. The arrival day of Copenhagen is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Helsinki, Paris, Stuttgart].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Prague (Day 12 - 16).\n       |- The departure day of Copenhagen is Day 12. The arrival day of Prague is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Copenhagen to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 23 - 25).\n         |- The departure day of Prague is Day 16. The arrival day of Geneva is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen, Prague].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Florence] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Prague to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 23 - 25).\n           |- The departure day of Brussels is Day 19. The arrival day of Geneva is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen, Prague, Brussels].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Brussels to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Prague to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 23 - 25).\n           |- The departure day of Florence is Day 20. The arrival day of Geneva is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen, Prague, Florence].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Florence to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Geneva (Day 23 - 25).\n             |- The departure day of Brussels is Day 23. The arrival day of Geneva is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen, Prague, Florence, Brussels].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Brussels to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Helsinki, Paris, Stuttgart, Copenhagen, Prague, Florence, Brussels, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Copenhagen.\n**Day 11-12:** Visit Copenhagen for 2 days.\n**Day 12:** Fly from Copenhagen to Prague.\n**Day 12-16:** Visit Prague for 5 days.\n**Day 16:** Fly from Prague to Florence.\n**Day 16-20:** Visit Florence for 5 days.\n**Day 20:** Fly from Florence to Brussels.\n**Day 20-23:** Visit Brussels for 4 days.\n**Day 23:** Fly from Brussels to Geneva.\n**Day 23-25:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Budapest**Frankfurt**Dubrovnik**Stockholm**Lisbon**Brussels**Edinburgh",
    "ground_truth_durations": "3**2**4**5**4**2**4**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 3,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Budapest",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You want to spend 4 days in Frankfurt. You want to spend 3 days in Amsterdam. You want to meet a friend in Amsterdam between day 1 and day 3. You would like to visit Stockholm for 4 days. You want to spend 2 days in Edinburgh. From day 18 to day 19, there is a annual show you want to attend in Edinburgh. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Lisbon. You would like to meet your friends at Lisbon between day 14 and day 15 to tour together. You want to spend 2 days in Budapest. During day 3 and day 4, you have to attend a conference in Budapest.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, Amsterdam and Frankfurt, Stockholm and Lisbon, Budapest and Frankfurt, Budapest and Brussels, Frankfurt and Stockholm, Budapest and Edinburgh, Amsterdam and Budapest, Stockholm and Brussels, Lisbon and Brussels, Stockholm and Edinburgh, Budapest and Lisbon, Amsterdam and Edinburgh, Frankfurt and Edinburgh, Amsterdam and Stockholm, Frankfurt and Dubrovnik, Brussels and Edinburgh, Amsterdam and Dubrovnik, Dubrovnik and Stockholm, Amsterdam and Lisbon, Frankfurt and Lisbon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You want to spend 4 days in Frankfurt. You want to spend 3 days in Amsterdam. You want to meet a friend in Amsterdam between day 1 and day 3. You would like to visit Stockholm for 4 days. You want to spend 2 days in Edinburgh. From day 18 to day 19, there is a annual show you want to attend in Edinburgh. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Lisbon. You would like to meet your friends at Lisbon between day 14 and day 15 to tour together. You want to spend 2 days in Budapest. During day 3 and day 4, you have to attend a conference in Budapest.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, from Amsterdam to Frankfurt, from Stockholm to Lisbon, from Budapest to Frankfurt, from Budapest to Brussels, from Frankfurt to Stockholm, from Budapest to Edinburgh, from Amsterdam to Budapest, from Stockholm to Brussels, from Lisbon to Brussels, from Stockholm to Edinburgh, from Budapest to Lisbon, from Amsterdam to Edinburgh, from Frankfurt to Edinburgh, from Amsterdam to Stockholm, from Frankfurt to Dubrovnik, from Brussels to Edinburgh, from Amsterdam to Dubrovnik, from Dubrovnik to Stockholm, from Amsterdam to Lisbon, from Frankfurt to Lisbon.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.\n**Day 11:** Fly from Dubrovnik to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Edinburgh.\n**Day 18-19:** Visit Edinburgh for 2 days.",
    "id": "trip_planning_example_1081",
    "estimated_output_tokens": 3699,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Stockholm, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Dubrovnik, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Fixed Schedule: Day 3 - 4.\n* City: Lisbon, Fixed Schedule: Day 14 - 15.\n* City: Edinburgh, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 4).\n |- The departure day of Amsterdam is Day 3. The arrival day of Budapest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Amsterdam to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 14 - 15).\n   |- The departure day of Budapest is Day 4. The arrival day of Lisbon is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Amsterdam, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Stockholm, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Budapest to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 14 - 15).\n     |- The departure day of Brussels is Day 7. The arrival day of Lisbon is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Amsterdam, Budapest, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Stockholm, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Brussels to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 14 - 15).\n       |- The departure day of Frankfurt is Day 10. The arrival day of Lisbon is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Budapest, Brussels, Frankfurt].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Frankfurt to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 14 - 15).\n         |- The departure day of Stockholm is Day 13. The arrival day of Lisbon is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Amsterdam, Budapest, Brussels, Frankfurt, Stockholm].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Stockholm to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Frankfurt to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 14 - 15).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Lisbon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, Budapest, Brussels, Frankfurt, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Dubrovnik to Lisbon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Brussels to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Budapest to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 14 - 15).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Lisbon is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Amsterdam, Budapest, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Stockholm, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Frankfurt to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Frankfurt to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 14 - 15).\n       |- The departure day of Stockholm is Day 10. The arrival day of Lisbon is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Budapest, Frankfurt, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stockholm to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 14 - 15).\n         |- The departure day of Brussels is Day 13. The arrival day of Lisbon is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Amsterdam, Budapest, Frankfurt, Stockholm, Brussels].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Brussels to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 14 - 15).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Lisbon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Amsterdam, Budapest, Frankfurt, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Stockholm] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dubrovnik to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dubrovnik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 14 - 15).\n         |- The departure day of Stockholm is Day 14. The arrival day of Lisbon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, Budapest, Frankfurt, Dubrovnik, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stockholm to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Edinburgh (Day 18 - 19).\n           |- The departure day of Lisbon is Day 15. The arrival day of Edinburgh is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, Budapest, Frankfurt, Dubrovnik, Stockholm, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Lisbon to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Edinburgh (Day 18 - 19).\n             |- The departure day of Brussels is Day 18. The arrival day of Edinburgh is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Amsterdam, Budapest, Frankfurt, Dubrovnik, Stockholm, Lisbon, Brussels].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Edinburgh.\n               |- Try arranging to visit Edinburgh from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Brussels to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Amsterdam, Budapest, Frankfurt, Dubrovnik, Stockholm, Lisbon, Brussels, Edinburgh].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Dubrovnik.\n**Day 7-11:** Visit Dubrovnik for 5 days.\n**Day 11:** Fly from Dubrovnik to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Edinburgh.\n**Day 18-19:** Visit Edinburgh for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Munich**Seville**Lisbon**Athens**Nice**Istanbul**Salzburg",
    "ground_truth_durations": "3**4**4**5**3**3**2**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Seville"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Munich",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to meet your friends at Athens between day 13 and day 15 to tour together. You want to spend 4 days in Seville. You plan to stay in Munich for 4 days. You would like to visit Salzburg for 3 days. You are going to attend a wedding in Salzburg between day 18 and day 20. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Nice. You plan to stay in Istanbul for 2 days. You want to meet a friend in Istanbul between day 17 and day 18. You want to spend 5 days in Lisbon. You have to attend a workshop in Lisbon between day 9 and day 13.\n\nHere are the cities that have direct flights:\nMunich and Seville, Seville and Lisbon, Lisbon and Athens, Munich and Nice, from Istanbul to Tallinn, Munich and Athens, Istanbul and Salzburg, Lisbon and Nice, Tallinn and Munich, Athens and Istanbul, Munich and Istanbul, Lisbon and Istanbul, Nice and Istanbul, Athens and Nice, Munich and Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to meet your friends at Athens between day 13 and day 15 to tour together. You want to spend 4 days in Seville. You plan to stay in Munich for 4 days. You would like to visit Salzburg for 3 days. You are going to attend a wedding in Salzburg between day 18 and day 20. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Nice. You plan to stay in Istanbul for 2 days. You want to meet a friend in Istanbul between day 17 and day 18. You want to spend 5 days in Lisbon. You have to attend a workshop in Lisbon between day 9 and day 13.\n\nHere are the cities that have direct flights:\nfrom Munich to Seville, from Seville to Lisbon, from Lisbon to Athens, from Munich to Nice, from Istanbul to Tallinn, from Munich to Athens, from Istanbul to Salzburg, from Lisbon to Nice, from Tallinn to Munich, from Athens to Istanbul, from Munich to Istanbul, from Lisbon to Istanbul, from Nice to Istanbul, from Athens to Nice, from Munich to Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Seville.\n**Day 6-9:** Visit Seville for 4 days.\n**Day 9:** Fly from Seville to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Nice.\n**Day 15-17:** Visit Nice for 3 days.\n**Day 17:** Fly from Nice to Istanbul.\n**Day 17-18:** Visit Istanbul for 2 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-20:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1082",
    "estimated_output_tokens": 3307,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Seville, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Tallinn, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 9 - 13.\n* City: Athens, Fixed Schedule: Day 13 - 15.\n* City: Istanbul, Fixed Schedule: Day 17 - 18.\n* City: Salzburg, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Munich, Tallinn, Nice] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Seville is Day 4. The arrival day of Lisbon is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Tallinn, Nice] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Seville to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Munich is Day 4. The arrival day of Lisbon is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Tallinn, Nice] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Munich to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 13).\n   |- The departure day of Seville is Day 7. The arrival day of Lisbon is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Seville].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Nice] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Seville to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Seville to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Munich to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Munich to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 13).\n   |- The departure day of Nice is Day 6. The arrival day of Lisbon is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Tallinn] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Nice to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 13).\n |- The departure day of Tallinn is Day 3. The arrival day of Lisbon is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Munich, Nice] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 9 - 13).\n   |- The departure day of Munich is Day 6. The arrival day of Lisbon is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Nice] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 9 - 13).\n     |- The departure day of Seville is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Tallinn, Munich, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Seville to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 13 - 15).\n       |- The departure day of Lisbon is Day 13. The arrival day of Athens is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Tallinn, Munich, Seville, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Athens.\n         |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Lisbon to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 17 - 18).\n         |- The departure day of Athens is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Tallinn, Munich, Seville, Lisbon, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n           |- Try arranging to visit Nice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Athens to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 18).\n           |- The departure day of Nice is Day 17. The arrival day of Istanbul is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Tallinn, Munich, Seville, Lisbon, Athens, Nice].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Nice to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Salzburg (Day 18 - 20).\n             |- The departure day of Istanbul is Day 18. The arrival day of Salzburg is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Tallinn, Munich, Seville, Lisbon, Athens, Nice, Istanbul].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Salzburg.\n               |- Try arranging to visit Salzburg from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Istanbul to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Tallinn, Munich, Seville, Lisbon, Athens, Nice, Istanbul, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Munich.\n**Day 3-6:** Visit Munich for 4 days.\n**Day 6:** Fly from Munich to Seville.\n**Day 6-9:** Visit Seville for 4 days.\n**Day 9:** Fly from Seville to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Nice.\n**Day 15-17:** Visit Nice for 3 days.\n**Day 17:** Fly from Nice to Istanbul.\n**Day 17-18:** Visit Istanbul for 2 days.\n**Day 18:** Fly from Istanbul to Salzburg.\n**Day 18-20:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Warsaw**Geneva**Santorini**Oslo**Reykjavik**Lisbon**Krakow",
    "ground_truth_durations": "2**3**4**2**2**3**3**3",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Warsaw",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Warsaw",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 2 days. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 9 and day 11. You plan to stay in Geneva for 4 days. You plan to stay in Warsaw for 3 days. You are going to attend a wedding in Warsaw between day 2 and day 4. You would like to visit Lisbon for 3 days. You would like to visit Krakow for 3 days. You plan to stay in Santorini for 2 days. You would like to visit Bucharest for 2 days. You have to attend a workshop in Bucharest between day 1 and day 2.\n\nHere are the cities that have direct flights:\nLisbon and Krakow, Oslo and Lisbon, Oslo and Krakow, from Santorini to Oslo, Warsaw and Lisbon, Bucharest and Lisbon, Bucharest and Warsaw, Oslo and Reykjavik, Bucharest and Santorini, Warsaw and Reykjavik, Geneva and Santorini, Bucharest and Oslo, Warsaw and Krakow, Geneva and Oslo, Warsaw and Geneva, Geneva and Lisbon, Reykjavik and Lisbon, Warsaw and Oslo.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 2 days. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 9 and day 11. You plan to stay in Geneva for 4 days. You plan to stay in Warsaw for 3 days. You are going to attend a wedding in Warsaw between day 2 and day 4. You would like to visit Lisbon for 3 days. You would like to visit Krakow for 3 days. You plan to stay in Santorini for 2 days. You would like to visit Bucharest for 2 days. You have to attend a workshop in Bucharest between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Krakow, from Oslo to Lisbon, from Oslo to Krakow, from Santorini to Oslo, from Warsaw to Lisbon, from Bucharest to Lisbon, from Bucharest to Warsaw, from Oslo to Reykjavik, from Bucharest to Santorini, from Warsaw to Reykjavik, from Geneva to Santorini, from Bucharest to Oslo, from Warsaw to Krakow, from Geneva to Oslo, from Warsaw to Geneva, from Geneva to Lisbon, from Reykjavik to Lisbon, from Warsaw to Oslo.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Warsaw.\n**Day 2-4:** Visit Warsaw for 3 days.\n**Day 4:** Fly from Warsaw to Geneva.\n**Day 4-7:** Visit Geneva for 4 days.\n**Day 7:** Fly from Geneva to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_1083",
    "estimated_output_tokens": 4161,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Geneva, Duration: 4 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Lisbon, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Fixed Schedule: Day 2 - 4.\n* City: Reykjavik, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 2 - 4).\n |- The departure day of Bucharest is Day 2. The arrival day of Warsaw is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Warsaw.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 9 - 11).\n   |- The departure day of Warsaw is Day 4. The arrival day of Reykjavik is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Geneva, Lisbon, Krakow, Santorini] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Warsaw to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 9 - 11).\n     |- The departure day of Oslo is Day 5. The arrival day of Reykjavik is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Warsaw, Oslo].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Lisbon, Krakow, Santorini] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Oslo to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Oslo to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 9 - 11).\n       |- The departure day of Lisbon is Day 7. The arrival day of Reykjavik is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Warsaw, Oslo, Lisbon].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Santorini] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Lisbon to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Lisbon to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 11).\n         |- The departure day of Krakow is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Bucharest, Warsaw, Oslo, Lisbon, Krakow].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Krakow to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Lisbon to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Oslo to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 9 - 11).\n       |- The departure day of Krakow is Day 7. The arrival day of Reykjavik is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Warsaw, Oslo, Krakow].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Lisbon, Santorini] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Krakow to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Krakow to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Krakow to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 9 - 11).\n     |- The departure day of Geneva is Day 7. The arrival day of Reykjavik is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Warsaw, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Krakow, Santorini] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 11).\n       |- The departure day of Oslo is Day 8. The arrival day of Reykjavik is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, Warsaw, Geneva, Oslo].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow, Santorini] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 11).\n         |- The departure day of Lisbon is Day 10. The arrival day of Reykjavik is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 11).\n         |- The departure day of Krakow is Day 10. The arrival day of Reykjavik is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 11).\n       |- The departure day of Lisbon is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Warsaw, Geneva, Lisbon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lisbon to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 11).\n       |- The departure day of Santorini is Day 8. The arrival day of Reykjavik is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, Warsaw, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Krakow] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 11).\n         |- The departure day of Oslo is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Bucharest, Warsaw, Geneva, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Oslo to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Bucharest, Warsaw, Geneva, Santorini, Oslo, Reykjavik].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Krakow] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Reykjavik to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Bucharest, Warsaw, Geneva, Santorini, Oslo, Reykjavik, Lisbon].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n               |- Check for direct flight from Lisbon to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Bucharest, Warsaw, Geneva, Santorini, Oslo, Reykjavik, Lisbon, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Warsaw.\n**Day 2-4:** Visit Warsaw for 3 days.\n**Day 4:** Fly from Warsaw to Geneva.\n**Day 4-7:** Visit Geneva for 4 days.\n**Day 7:** Fly from Geneva to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Krakow.\n**Day 13-15:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lisbon**Seville**Paris**Venice**Copenhagen**Berlin**Salzburg",
    "ground_truth_durations": "3**5**5**5**4**3**3**3",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Berlin",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to visit relatives in Venice between day 15 and day 18. You plan to stay in Paris for 5 days. You want to spend 3 days in Valencia. During day 1 and day 3, you have to attend a conference in Valencia. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 3 and day 7. You want to spend 3 days in Berlin. You plan to stay in Seville for 5 days. You would like to visit Salzburg for 3 days. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nValencia and Lisbon, Lisbon and Venice, Paris and Venice, Valencia and Copenhagen, Paris and Copenhagen, Venice and Berlin, Lisbon and Berlin, Lisbon and Copenhagen, Venice and Copenhagen, Seville and Paris, Paris and Berlin, Valencia and Berlin, Copenhagen and Berlin, Lisbon and Paris, Valencia and Seville, Valencia and Paris, Lisbon and Seville, Berlin and Salzburg.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to visit relatives in Venice between day 15 and day 18. You plan to stay in Paris for 5 days. You want to spend 3 days in Valencia. During day 1 and day 3, you have to attend a conference in Valencia. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 3 and day 7. You want to spend 3 days in Berlin. You plan to stay in Seville for 5 days. You would like to visit Salzburg for 3 days. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Lisbon, from Lisbon to Venice, from Paris to Venice, from Valencia to Copenhagen, from Paris to Copenhagen, from Venice to Berlin, from Lisbon to Berlin, from Lisbon to Copenhagen, from Venice to Copenhagen, from Seville to Paris, from Paris to Berlin, from Valencia to Berlin, from Copenhagen to Berlin, from Lisbon to Paris, from Valencia to Seville, from Valencia to Paris, from Lisbon to Seville, from Berlin to Salzburg.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Seville.\n**Day 7-11:** Visit Seville for 5 days.\n**Day 11:** Fly from Seville to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Venice.\n**Day 15-18:** Visit Venice for 4 days.\n**Day 18:** Fly from Venice to Copenhagen.\n**Day 18-20:** Visit Copenhagen for 3 days.\n**Day 20:** Fly from Copenhagen to Berlin.\n**Day 20-22:** Visit Berlin for 3 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1084",
    "estimated_output_tokens": 4574,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Paris, Duration: 5 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Berlin, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Fixed Schedule: Day 3 - 7.\n* City: Venice, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Paris, Duration: 5 days.\n* City: Berlin, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 3 - 7).\n |- The departure day of Valencia is Day 3. The arrival day of Lisbon is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 15 - 18).\n   |- The departure day of Lisbon is Day 7. The arrival day of Venice is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Berlin, Seville, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Paris from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 15 - 18).\n     |- The departure day of Paris is Day 11. The arrival day of Venice is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Valencia, Lisbon, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Seville, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 15 - 18).\n       |- The departure day of Berlin is Day 13. The arrival day of Venice is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Lisbon, Paris, Berlin].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Salzburg, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Berlin to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 15 - 18).\n         |- The departure day of Salzburg is Day 15. The arrival day of Venice is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Lisbon, Paris, Berlin, Salzburg].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Salzburg to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Berlin to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Paris to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 15 - 18).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Venice is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Lisbon, Paris, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Seville, Salzburg] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Copenhagen to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 15 - 18).\n         |- The departure day of Berlin is Day 15. The arrival day of Venice is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Lisbon, Paris, Copenhagen, Berlin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Berlin to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Copenhagen to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Copenhagen to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Lisbon to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 15 - 18).\n     |- The departure day of Berlin is Day 9. The arrival day of Venice is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Lisbon, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Seville, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 15 - 18).\n       |- The departure day of Salzburg is Day 11. The arrival day of Venice is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Lisbon, Berlin, Salzburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Seville, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Salzburg to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Salzburg to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Salzburg to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 15 - 18).\n     |- The departure day of Seville is Day 11. The arrival day of Venice is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Valencia, Lisbon, Seville].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Berlin, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Seville to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 15 - 18).\n       |- The departure day of Paris is Day 15. The arrival day of Venice is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Valencia, Lisbon, Seville, Paris].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Paris to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Valencia, Lisbon, Seville, Paris, Venice].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Venice to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Valencia, Lisbon, Seville, Paris, Venice, Berlin].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Copenhagen] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Berlin to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Valencia, Lisbon, Seville, Paris, Venice, Berlin, Salzburg].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n               |- Try arranging to visit Copenhagen from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Salzburg to Copenhagen.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Copenhagen from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Berlin to Copenhagen.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Venice to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Venice to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Valencia, Lisbon, Seville, Paris, Venice, Copenhagen].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Copenhagen to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Valencia, Lisbon, Seville, Paris, Venice, Copenhagen, Berlin].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Berlin to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Valencia, Lisbon, Seville, Paris, Venice, Copenhagen, Berlin, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Seville.\n**Day 7-11:** Visit Seville for 5 days.\n**Day 11:** Fly from Seville to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Venice.\n**Day 15-18:** Visit Venice for 4 days.\n**Day 18:** Fly from Venice to Copenhagen.\n**Day 18-20:** Visit Copenhagen for 3 days.\n**Day 20:** Fly from Copenhagen to Berlin.\n**Day 20-22:** Visit Berlin for 3 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Dublin**Venice**Paris**Riga**Vilnius**Milan**Mykonos",
    "ground_truth_durations": "5**5**5**3**3**3**5**4",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Milan",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 19 and day 23. You would like to visit Paris for 3 days. You would like to visit Vilnius for 3 days. You plan to stay in Frankfurt for 5 days. From day 1 to day 5, there is a annual show you want to attend in Frankfurt. You want to spend 4 days in Mykonos. You would like to visit Dublin for 5 days. You plan to visit relatives in Dublin between day 5 and day 9. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Riga, Dublin and Riga, Frankfurt and Vilnius, Frankfurt and Venice, Vilnius and Milan, Venice and Paris, Riga and Milan, Frankfurt and Paris, Paris and Vilnius, Paris and Milan, Frankfurt and Dublin, Dublin and Venice, Frankfurt and Milan, Paris and Riga, Dublin and Paris, Dublin and Milan, from Riga to Vilnius, Milan and Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 19 and day 23. You would like to visit Paris for 3 days. You would like to visit Vilnius for 3 days. You plan to stay in Frankfurt for 5 days. From day 1 to day 5, there is a annual show you want to attend in Frankfurt. You want to spend 4 days in Mykonos. You would like to visit Dublin for 5 days. You plan to visit relatives in Dublin between day 5 and day 9. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Riga, from Dublin to Riga, from Frankfurt to Vilnius, from Frankfurt to Venice, from Vilnius to Milan, from Venice to Paris, from Riga to Milan, from Frankfurt to Paris, from Paris to Vilnius, from Paris to Milan, from Frankfurt to Dublin, from Dublin to Venice, from Frankfurt to Milan, from Paris to Riga, from Dublin to Paris, from Dublin to Milan, from Riga to Vilnius, from Milan to Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Vilnius.\n**Day 17-19:** Visit Vilnius for 3 days.\n**Day 19:** Fly from Vilnius to Milan.\n**Day 19-23:** Visit Milan for 5 days.\n**Day 23:** Fly from Milan to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1085",
    "estimated_output_tokens": 4243,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Paris, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Mykonos, Duration: 4 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 5.\n* City: Dublin, Fixed Schedule: Day 5 - 9.\n* City: Milan, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 5 - 9).\n |- The departure day of Frankfurt is Day 5. The arrival day of Dublin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Frankfurt to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 19 - 23).\n   |- The departure day of Dublin is Day 9. The arrival day of Milan is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Dublin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Paris, Vilnius, Mykonos, Venice] and explore these options in order.\n     |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Dublin to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 19 - 23).\n     |- The departure day of Riga is Day 11. The arrival day of Milan is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Frankfurt, Dublin, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Vilnius, Mykonos, Venice] and explore these options in order.\n       |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Riga to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 19 - 23).\n       |- The departure day of Vilnius is Day 13. The arrival day of Milan is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Dublin, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Mykonos, Venice] and explore these options in order.\n         |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vilnius to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vilnius to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Riga to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Dublin to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 19 - 23).\n     |- The departure day of Paris is Day 11. The arrival day of Milan is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Frankfurt, Dublin, Paris].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius, Mykonos, Venice] and explore these options in order.\n       |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 19 - 23).\n       |- The departure day of Riga is Day 13. The arrival day of Milan is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Dublin, Paris, Riga].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos, Venice] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Milan (Day 19 - 23).\n         |- The departure day of Vilnius is Day 15. The arrival day of Milan is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Frankfurt, Dublin, Paris, Riga, Vilnius].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Venice] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Vilnius to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Vilnius to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Riga to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Riga to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Paris to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 19 - 23).\n       |- The departure day of Vilnius is Day 13. The arrival day of Milan is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Dublin, Paris, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Mykonos, Venice] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vilnius to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vilnius to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Paris to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Paris to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Dublin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Dublin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Dublin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 19 - 23).\n     |- The departure day of Venice is Day 13. The arrival day of Milan is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Frankfurt, Dublin, Venice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Paris, Vilnius, Mykonos] and explore these options in order.\n       |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Venice to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Milan (Day 19 - 23).\n       |- The departure day of Paris is Day 15. The arrival day of Milan is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Frankfurt, Dublin, Venice, Paris].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Vilnius, Mykonos] and explore these options in order.\n         |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Paris to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Milan (Day 19 - 23).\n         |- The departure day of Riga is Day 17. The arrival day of Milan is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Frankfurt, Dublin, Venice, Paris, Riga].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Riga to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Milan (Day 19 - 23).\n           |- The departure day of Vilnius is Day 19. The arrival day of Milan is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Dublin, Venice, Paris, Riga, Vilnius].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Milan.\n             |- Try arranging to visit Milan from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vilnius to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Frankfurt, Dublin, Venice, Paris, Riga, Vilnius, Milan].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Milan to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Frankfurt, Dublin, Venice, Paris, Riga, Vilnius, Milan, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Vilnius.\n**Day 17-19:** Visit Vilnius for 3 days.\n**Day 19:** Fly from Vilnius to Milan.\n**Day 19-23:** Visit Milan for 5 days.\n**Day 23:** Fly from Milan to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Zurich**London**Venice**Madrid**Florence**Frankfurt**Salzburg",
    "ground_truth_durations": "5**3**3**5**4**4**4**3",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "London"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Budapest",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 3 days. You would like to meet your friends at Salzburg between day 22 and day 24 to tour together. You want to spend 3 days in London. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 9 and day 13. You would like to visit Florence for 4 days. You plan to stay in Madrid for 4 days. You have to attend a workshop in Madrid between day 13 and day 16. You plan to stay in Frankfurt for 4 days. You would like to visit Zurich for 3 days. You want to meet a friend in Zurich between day 5 and day 7. You would like to visit Budapest for 5 days.\n\nHere are the cities that have direct flights:\nZurich and London, Zurich and Frankfurt, Budapest and Madrid, Venice and Madrid, Madrid and Frankfurt, Venice and Frankfurt, Budapest and Zurich, Budapest and Frankfurt, Frankfurt and Salzburg, London and Florence, London and Madrid, Madrid and Florence, London and Frankfurt, Zurich and Venice, from Zurich to Florence, Florence and Frankfurt, London and Venice, Zurich and Madrid, Budapest and London.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 3 days. You would like to meet your friends at Salzburg between day 22 and day 24 to tour together. You want to spend 3 days in London. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 9 and day 13. You would like to visit Florence for 4 days. You plan to stay in Madrid for 4 days. You have to attend a workshop in Madrid between day 13 and day 16. You plan to stay in Frankfurt for 4 days. You would like to visit Zurich for 3 days. You want to meet a friend in Zurich between day 5 and day 7. You would like to visit Budapest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to London, from Zurich to Frankfurt, from Budapest to Madrid, from Venice to Madrid, from Madrid to Frankfurt, from Venice to Frankfurt, from Budapest to Zurich, from Budapest to Frankfurt, from Frankfurt to Salzburg, from London to Florence, from London to Madrid, from Madrid to Florence, from London to Frankfurt, from Zurich to Venice, from Zurich to Florence, from Florence to Frankfurt, from London to Venice, from Zurich to Madrid, from Budapest to London.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Madrid.\n**Day 13-16:** Visit Madrid for 4 days.\n**Day 16:** Fly from Madrid to Florence.\n**Day 16-19:** Visit Florence for 4 days.\n**Day 19:** Fly from Florence to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1086",
    "estimated_output_tokens": 3235,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: London, Duration: 3 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Florence, Duration: 4 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Frankfurt, Duration: 4 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Budapest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 5 - 7.\n* City: Venice, Fixed Schedule: Day 9 - 13.\n* City: Madrid, Fixed Schedule: Day 13 - 16.\n* City: Salzburg, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Florence, Frankfurt, Budapest] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 7).\n |- The departure day of London is Day 3. The arrival day of Zurich is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Frankfurt, Budapest] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 5 - 7).\n   |- The departure day of Florence is Day 6. The arrival day of Zurich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 5 - 7).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Zurich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 7).\n |- The departure day of Florence is Day 4. The arrival day of Zurich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Frankfurt, Budapest] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Zurich (Day 5 - 7).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Zurich is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 7).\n |- The departure day of Frankfurt is Day 4. The arrival day of Zurich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Florence, Budapest] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Frankfurt to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 7).\n |- The departure day of Budapest is Day 5. The arrival day of Zurich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 9 - 13).\n   |- The departure day of Zurich is Day 7. The arrival day of Venice is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Florence, Frankfurt] and explore these options in order.\n     |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 9 - 13).\n     |- The departure day of London is Day 9. The arrival day of Venice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Budapest, Zurich, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from London to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 13 - 16).\n       |- The departure day of Venice is Day 13. The arrival day of Madrid is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, Zurich, London, Venice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Venice to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 22 - 24).\n         |- The departure day of Madrid is Day 16. The arrival day of Salzburg is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Budapest, Zurich, London, Venice, Madrid].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Madrid to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Salzburg (Day 22 - 24).\n           |- The departure day of Florence is Day 19. The arrival day of Salzburg is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Budapest, Zurich, London, Venice, Madrid, Florence].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Florence to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Salzburg (Day 22 - 24).\n             |- The departure day of Frankfurt is Day 22. The arrival day of Salzburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Budapest, Zurich, London, Venice, Madrid, Florence, Frankfurt].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Salzburg.\n               |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Frankfurt to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Budapest, Zurich, London, Venice, Madrid, Florence, Frankfurt, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to London.\n**Day 7-9:** Visit London for 3 days.\n**Day 9:** Fly from London to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Madrid.\n**Day 13-16:** Visit Madrid for 4 days.\n**Day 16:** Fly from Madrid to Florence.\n**Day 16-19:** Visit Florence for 4 days.\n**Day 19:** Fly from Florence to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Porto**Stuttgart**Valencia**Bucharest**Barcelona**Helsinki**Dubrovnik",
    "ground_truth_durations": "4**3**5**2**2**5**2**5",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Valencia"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Barcelona",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 6 and day 10. You plan to stay in Valencia for 2 days. You would like to visit Dubrovnik for 5 days. You would like to visit Helsinki for 2 days. You plan to visit relatives in Helsinki between day 16 and day 17. You plan to stay in Porto for 3 days. You want to spend 5 days in Barcelona. You would like to visit Bucharest for 2 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4.\n\nHere are the cities that have direct flights:\nPorto and Valencia, Porto and Stuttgart, Lyon and Valencia, Lyon and Bucharest, Stuttgart and Valencia, Stuttgart and Barcelona, Porto and Barcelona, Barcelona and Dubrovnik, Lyon and Barcelona, Valencia and Barcelona, Bucharest and Barcelona, Valencia and Bucharest, Helsinki and Dubrovnik, Lyon and Porto, Barcelona and Helsinki.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 6 and day 10. You plan to stay in Valencia for 2 days. You would like to visit Dubrovnik for 5 days. You would like to visit Helsinki for 2 days. You plan to visit relatives in Helsinki between day 16 and day 17. You plan to stay in Porto for 3 days. You want to spend 5 days in Barcelona. You would like to visit Bucharest for 2 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Porto to Valencia, from Porto to Stuttgart, from Lyon to Valencia, from Lyon to Bucharest, from Stuttgart to Valencia, from Stuttgart to Barcelona, from Porto to Barcelona, from Barcelona to Dubrovnik, from Lyon to Barcelona, from Valencia to Barcelona, from Bucharest to Barcelona, from Valencia to Bucharest, from Helsinki to Dubrovnik, from Lyon to Porto, from Barcelona to Helsinki.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Stuttgart.\n**Day 6-10:** Visit Stuttgart for 5 days.\n**Day 10:** Fly from Stuttgart to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Dubrovnik.\n**Day 17-21:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1087",
    "estimated_output_tokens": 3203,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Valencia, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Porto, Duration: 3 days.\n* City: Barcelona, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Fixed Schedule: Day 6 - 10.\n* City: Helsinki, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Barcelona, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 6 - 10).\n |- The departure day of Lyon is Day 4. The arrival day of Stuttgart is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Porto, Barcelona, Bucharest] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 10).\n   |- The departure day of Valencia is Day 5. The arrival day of Stuttgart is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Barcelona, Bucharest] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 10).\n     |- The departure day of Barcelona is Day 9. The arrival day of Stuttgart is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Valencia to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 6 - 10).\n     |- The departure day of Bucharest is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Valencia, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Bucharest to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 10).\n   |- The departure day of Porto is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Porto to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 16 - 17).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Helsinki is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Porto, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Barcelona, Bucharest] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 16 - 17).\n       |- The departure day of Valencia is Day 11. The arrival day of Helsinki is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Porto, Stuttgart, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Barcelona, Bucharest] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 16 - 17).\n         |- The departure day of Barcelona is Day 15. The arrival day of Helsinki is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Lyon, Porto, Stuttgart, Valencia, Barcelona].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Bucharest] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Barcelona to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Helsinki (Day 16 - 17).\n           |- The departure day of Dubrovnik is Day 19. The arrival day of Helsinki is Day 16. Day 19 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Barcelona to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 16 - 17).\n         |- The departure day of Bucharest is Day 12. The arrival day of Helsinki is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lyon, Porto, Stuttgart, Valencia, Bucharest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Barcelona] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Bucharest to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Bucharest to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Helsinki (Day 16 - 17).\n           |- The departure day of Barcelona is Day 16. The arrival day of Helsinki is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Porto, Stuttgart, Valencia, Bucharest, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Barcelona to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Porto, Stuttgart, Valencia, Bucharest, Barcelona, Helsinki].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Helsinki to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Lyon, Porto, Stuttgart, Valencia, Bucharest, Barcelona, Helsinki, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Stuttgart.\n**Day 6-10:** Visit Stuttgart for 5 days.\n**Day 10:** Fly from Stuttgart to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Barcelona.\n**Day 12-16:** Visit Barcelona for 5 days.\n**Day 16:** Fly from Barcelona to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Dubrovnik.\n**Day 17-21:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stockholm**Tallinn**Oslo**Geneva**Split**Stuttgart**Porto",
    "ground_truth_durations": "2**3**5**5**2**3**5**3",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Geneva",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You want to spend 5 days in Stuttgart. You plan to stay in Reykjavik for 2 days. During day 1 and day 2, you have to attend a conference in Reykjavik. You plan to stay in Split for 3 days. You plan to stay in Geneva for 2 days. You plan to stay in Porto for 3 days. You have to attend a workshop in Porto between day 19 and day 21. You want to spend 5 days in Tallinn. You plan to stay in Stockholm for 3 days. You want to meet a friend in Stockholm between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, Stockholm and Tallinn, Stockholm and Oslo, Stuttgart and Porto, Oslo and Split, Stockholm and Stuttgart, Reykjavik and Oslo, Oslo and Geneva, Stockholm and Split, Reykjavik and Stockholm, Split and Stuttgart, Tallinn and Oslo, Stockholm and Geneva, Oslo and Porto, Geneva and Porto, Geneva and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You want to spend 5 days in Stuttgart. You plan to stay in Reykjavik for 2 days. During day 1 and day 2, you have to attend a conference in Reykjavik. You plan to stay in Split for 3 days. You plan to stay in Geneva for 2 days. You plan to stay in Porto for 3 days. You have to attend a workshop in Porto between day 19 and day 21. You want to spend 5 days in Tallinn. You plan to stay in Stockholm for 3 days. You want to meet a friend in Stockholm between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, from Stockholm to Tallinn, from Stockholm to Oslo, from Stuttgart to Porto, from Oslo to Split, from Stockholm to Stuttgart, from Reykjavik to Oslo, from Oslo to Geneva, from Stockholm to Split, from Reykjavik to Stockholm, from Split to Stuttgart, from Tallinn to Oslo, from Stockholm to Geneva, from Oslo to Porto, from Geneva to Porto, from Geneva to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Stockholm.\n**Day 2-4:** Visit Stockholm for 3 days.\n**Day 4:** Fly from Stockholm to Tallinn.\n**Day 4-8:** Visit Tallinn for 5 days.\n**Day 8:** Fly from Tallinn to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Porto.\n**Day 19-21:** Visit Porto for 3 days.",
    "id": "trip_planning_example_1088",
    "estimated_output_tokens": 6541,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Split, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Tallinn, Duration: 5 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Fixed Schedule: Day 2 - 4.\n* City: Porto, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 4).\n |- The departure day of Reykjavik is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 19 - 21).\n   |- The departure day of Stockholm is Day 4. The arrival day of Porto is Day 19. Day 4 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Reykjavik, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Split, Geneva, Tallinn] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stockholm to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 19 - 21).\n     |- The departure day of Oslo is Day 8. The arrival day of Porto is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Stockholm, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Geneva, Tallinn] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Oslo to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Oslo to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 19 - 21).\n       |- The departure day of Split is Day 10. The arrival day of Porto is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Stockholm, Oslo, Split].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Geneva, Tallinn] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Split to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 19 - 21).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Porto is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Stockholm, Oslo, Split, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Tallinn] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stuttgart to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stuttgart to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Split to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Split to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Oslo to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 19 - 21).\n       |- The departure day of Geneva is Day 9. The arrival day of Porto is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Stockholm, Oslo, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Tallinn] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Geneva to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Geneva to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 19 - 21).\n         |- The departure day of Split is Day 11. The arrival day of Porto is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Reykjavik, Stockholm, Oslo, Geneva, Split].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Tallinn] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Split to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 19 - 21).\n           |- The departure day of Stuttgart is Day 15. The arrival day of Porto is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Reykjavik, Stockholm, Oslo, Geneva, Split, Stuttgart].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Stuttgart to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Split to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Oslo to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stockholm to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 19 - 21).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Porto is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Stockholm, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Split, Geneva, Tallinn] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Stuttgart to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Stuttgart to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Stuttgart to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 19 - 21).\n     |- The departure day of Split is Day 6. The arrival day of Porto is Day 19. Day 6 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Reykjavik, Stockholm, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Geneva, Tallinn] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 19 - 21).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Porto is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Stockholm, Split, Stuttgart].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Geneva, Tallinn] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stuttgart to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stuttgart to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stuttgart to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Split to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stockholm to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 19 - 21).\n     |- The departure day of Geneva is Day 5. The arrival day of Porto is Day 19. Day 5 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Reykjavik, Stockholm, Geneva].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Split, Tallinn] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Geneva to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Geneva to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Geneva to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 19 - 21).\n       |- The departure day of Split is Day 7. The arrival day of Porto is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Reykjavik, Stockholm, Geneva, Split].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Tallinn] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Split to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Split to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 19 - 21).\n         |- The departure day of Stuttgart is Day 11. The arrival day of Porto is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Reykjavik, Stockholm, Geneva, Split, Stuttgart].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Tallinn] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Stuttgart to Oslo.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Stuttgart to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Split to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Geneva to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stockholm to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 19 - 21).\n     |- The departure day of Tallinn is Day 8. The arrival day of Porto is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Stockholm, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Stuttgart, Split, Geneva] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 19 - 21).\n       |- The departure day of Oslo is Day 12. The arrival day of Porto is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Geneva] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Oslo to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 19 - 21).\n         |- The departure day of Split is Day 14. The arrival day of Porto is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Geneva] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Split to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 19 - 21).\n           |- The departure day of Stuttgart is Day 18. The arrival day of Porto is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Split, Stuttgart].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Geneva.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Geneva from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Split to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 19 - 21).\n         |- The departure day of Geneva is Day 13. The arrival day of Porto is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Geneva].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Geneva to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Geneva to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 19 - 21).\n           |- The departure day of Split is Day 15. The arrival day of Porto is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Geneva, Split].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Split to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Porto (Day 19 - 21).\n             |- The departure day of Stuttgart is Day 19. The arrival day of Porto is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Geneva, Split, Stuttgart].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Stuttgart to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Reykjavik, Stockholm, Tallinn, Oslo, Geneva, Split, Stuttgart, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Stockholm.\n**Day 2-4:** Visit Stockholm for 3 days.\n**Day 4:** Fly from Stockholm to Tallinn.\n**Day 4-8:** Visit Tallinn for 5 days.\n**Day 8:** Fly from Tallinn to Oslo.\n**Day 8-12:** Visit Oslo for 5 days.\n**Day 12:** Fly from Oslo to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Porto.\n**Day 19-21:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Florence**Madrid**Seville**Rome**Istanbul**Berlin**Naples",
    "ground_truth_durations": "3**3**4**3**3**2**3**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Madrid"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Madrid",
        "Rome"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Madrid",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You want to spend 3 days in Rome. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 3 and day 5. You plan to stay in Madrid for 4 days. You want to spend 2 days in Naples. During day 15 and day 16, you have to attend a conference in Naples. You want to spend 3 days in Berlin. From day 13 to day 15, there is a annual show you want to attend in Berlin. You want to spend 2 days in Istanbul. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nFlorence and Madrid, Madrid and Naples, Rome and Istanbul, London and Florence, Madrid and Rome, Madrid and Istanbul, Istanbul and Berlin, Rome and Berlin, London and Berlin, Rome and Naples, Istanbul and Naples, London and Istanbul, Seville and Rome, Madrid and Seville, London and Madrid, Berlin and Naples, London and Rome, London and Naples, Madrid and Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You want to spend 3 days in Rome. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 3 and day 5. You plan to stay in Madrid for 4 days. You want to spend 2 days in Naples. During day 15 and day 16, you have to attend a conference in Naples. You want to spend 3 days in Berlin. From day 13 to day 15, there is a annual show you want to attend in Berlin. You want to spend 2 days in Istanbul. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Madrid, from Madrid to Naples, from Rome to Istanbul, from London to Florence, from Madrid to Rome, from Madrid to Istanbul, from Istanbul to Berlin, from Rome to Berlin, from London to Berlin, from Rome to Naples, from Istanbul to Naples, from London to Istanbul, from Seville to Rome, from Madrid to Seville, from London to Madrid, from Berlin to Naples, from London to Rome, from London to Naples, from Madrid to Berlin.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Florence.\n**Day 3-5:** Visit Florence for 3 days.\n**Day 5:** Fly from Florence to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Rome.\n**Day 10-12:** Visit Rome for 3 days.\n**Day 12:** Fly from Rome to Istanbul.\n**Day 12-13:** Visit Istanbul for 2 days.\n**Day 13:** Fly from Istanbul to Berlin.\n**Day 13-15:** Visit Berlin for 3 days.\n**Day 15:** Fly from Berlin to Naples.\n**Day 15-16:** Visit Naples for 2 days.",
    "id": "trip_planning_example_1089",
    "estimated_output_tokens": 3082,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Madrid, Duration: 4 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Istanbul, Duration: 2 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 3 - 5.\n* City: Berlin, Fixed Schedule: Day 13 - 15.\n* City: Naples, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n* City: Istanbul, Duration: 2 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Rome, Madrid, Istanbul, London] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 3 - 5).\n |- The departure day of Seville is Day 3. The arrival day of Florence is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 3 - 5).\n |- The departure day of Rome is Day 3. The arrival day of Florence is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Rome to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 3 - 5).\n |- The departure day of Madrid is Day 4. The arrival day of Florence is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 3 - 5).\n |- The departure day of Istanbul is Day 2. The arrival day of Florence is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Rome, Madrid, London] and explore these options in order.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 3 - 5).\n |- The departure day of London is Day 3. The arrival day of Florence is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 13 - 15).\n   |- The departure day of Florence is Day 5. The arrival day of Berlin is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Rome, Madrid, Istanbul] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 13 - 15).\n     |- The departure day of Madrid is Day 8. The arrival day of Berlin is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Florence, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Rome, Istanbul] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 13 - 15).\n       |- The departure day of Seville is Day 10. The arrival day of Berlin is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Florence, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Istanbul] and explore these options in order.\n         |- Try arranging to visit Rome from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Seville to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 13 - 15).\n         |- The departure day of Rome is Day 12. The arrival day of Berlin is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [London, Florence, Madrid, Seville, Rome].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Rome to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Berlin (Day 13 - 15).\n           |- The departure day of Istanbul is Day 13. The arrival day of Berlin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [London, Florence, Madrid, Seville, Rome, Istanbul].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Berlin.\n             |- Try arranging to visit Berlin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Istanbul to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Naples (Day 15 - 16).\n             |- The departure day of Berlin is Day 15. The arrival day of Naples is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [London, Florence, Madrid, Seville, Rome, Istanbul, Berlin].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Naples.\n               |- Try arranging to visit Naples from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Berlin to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [London, Florence, Madrid, Seville, Rome, Istanbul, Berlin, Naples].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Florence.\n**Day 3-5:** Visit Florence for 3 days.\n**Day 5:** Fly from Florence to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Seville.\n**Day 8-10:** Visit Seville for 3 days.\n**Day 10:** Fly from Seville to Rome.\n**Day 10-12:** Visit Rome for 3 days.\n**Day 12:** Fly from Rome to Istanbul.\n**Day 12-13:** Visit Istanbul for 2 days.\n**Day 13:** Fly from Istanbul to Berlin.\n**Day 13-15:** Visit Berlin for 3 days.\n**Day 15:** Fly from Berlin to Naples.\n**Day 15-16:** Visit Naples for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Valencia**Berlin**Budapest**Frankfurt**Hamburg**Stockholm**Santorini",
    "ground_truth_durations": "4**5**2**4**5**3**4**5",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 21,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 5 days. From day 12 to day 16, there is a annual show you want to attend in Frankfurt. You plan to stay in Seville for 4 days. You have to attend a workshop in Seville between day 1 and day 4. You would like to visit Stockholm for 4 days. You want to spend 3 days in Hamburg. You would like to visit Berlin for 2 days. You want to spend 5 days in Valencia. You want to spend 4 days in Budapest. You would like to visit Santorini for 5 days. You would like to meet your friends at Santorini between day 21 and day 25 to tour together.\n\nHere are the cities that have direct flights:\nValencia and Frankfurt, from Stockholm to Santorini, Frankfurt and Stockholm, Budapest and Frankfurt, Hamburg and Stockholm, Berlin and Stockholm, Berlin and Frankfurt, Seville and Valencia, Berlin and Budapest, Valencia and Berlin, Budapest and Hamburg, Frankfurt and Hamburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 5 days. From day 12 to day 16, there is a annual show you want to attend in Frankfurt. You plan to stay in Seville for 4 days. You have to attend a workshop in Seville between day 1 and day 4. You would like to visit Stockholm for 4 days. You want to spend 3 days in Hamburg. You would like to visit Berlin for 2 days. You want to spend 5 days in Valencia. You want to spend 4 days in Budapest. You would like to visit Santorini for 5 days. You would like to meet your friends at Santorini between day 21 and day 25 to tour together.\n\nHere are the cities that have direct flights:\nfrom Valencia to Frankfurt, from Stockholm to Santorini, from Frankfurt to Stockholm, from Budapest to Frankfurt, from Hamburg to Stockholm, from Berlin to Stockholm, from Berlin to Frankfurt, from Seville to Valencia, from Berlin to Budapest, from Valencia to Berlin, from Budapest to Hamburg, from Frankfurt to Hamburg.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Berlin.\n**Day 8-9:** Visit Berlin for 2 days.\n**Day 9:** Fly from Berlin to Budapest.\n**Day 9-12:** Visit Budapest for 4 days.\n**Day 12:** Fly from Budapest to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Hamburg.\n**Day 16-18:** Visit Hamburg for 3 days.\n**Day 18:** Fly from Hamburg to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.\n**Day 21:** Fly from Stockholm to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1090",
    "estimated_output_tokens": 2825,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stockholm, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Budapest, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Fixed Schedule: Day 12 - 16.\n* City: Santorini, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Berlin, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 12 - 16).\n |- The departure day of Seville is Day 4. The arrival day of Frankfurt is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Berlin, Valencia, Budapest] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Seville to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Seville to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 12 - 16).\n   |- The departure day of Valencia is Day 8. The arrival day of Frankfurt is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Seville, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Berlin, Budapest] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Valencia to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Valencia to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Valencia to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 12 - 16).\n     |- The departure day of Berlin is Day 9. The arrival day of Frankfurt is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Valencia, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Budapest] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 12 - 16).\n       |- The departure day of Stockholm is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Valencia, Berlin, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Stockholm to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 12 - 16).\n       |- The departure day of Budapest is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Valencia, Berlin, Budapest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Budapest to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Santorini (Day 21 - 25).\n         |- The departure day of Frankfurt is Day 16. The arrival day of Santorini is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Valencia, Berlin, Budapest, Frankfurt].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Frankfurt to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Santorini (Day 21 - 25).\n           |- The departure day of Stockholm is Day 19. The arrival day of Santorini is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Valencia, Berlin, Budapest, Frankfurt, Stockholm].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Stockholm to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Frankfurt to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Santorini (Day 21 - 25).\n           |- The departure day of Hamburg is Day 18. The arrival day of Santorini is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Seville, Valencia, Berlin, Budapest, Frankfurt, Hamburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Hamburg to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 21 - 25).\n             |- The departure day of Stockholm is Day 21. The arrival day of Santorini is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Seville, Valencia, Berlin, Budapest, Frankfurt, Hamburg, Stockholm].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Santorini.\n               |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Stockholm to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Seville, Valencia, Berlin, Budapest, Frankfurt, Hamburg, Stockholm, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Berlin.\n**Day 8-9:** Visit Berlin for 2 days.\n**Day 9:** Fly from Berlin to Budapest.\n**Day 9-12:** Visit Budapest for 4 days.\n**Day 12:** Fly from Budapest to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Hamburg.\n**Day 16-18:** Visit Hamburg for 3 days.\n**Day 18:** Fly from Hamburg to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.\n**Day 21:** Fly from Stockholm to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Venice**Vienna**Krakow**Dublin**Edinburgh**Madrid**Split",
    "ground_truth_durations": "5**4**5**2**2**3**5**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Split"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Dublin",
        "Madrid"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Vienna",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Split for 5 days. From day 20 to day 24, there is a annual show you want to attend in Split. You would like to visit Venice for 4 days. You plan to visit relatives in Venice between day 5 and day 8. You would like to visit Krakow for 2 days. You want to meet a friend in Krakow between day 12 and day 13. You want to spend 5 days in Madrid. You would like to visit Vienna for 5 days. You want to spend 3 days in Edinburgh. You have to attend a workshop in Edinburgh between day 14 and day 16. You want to spend 2 days in Dublin.\n\nHere are the cities that have direct flights:\nKrakow and Split, Dublin and Edinburgh, Lyon and Split, Venice and Edinburgh, Dublin and Split, Vienna and Dublin, Lyon and Vienna, Krakow and Dublin, Lyon and Dublin, Lyon and Madrid, Venice and Dublin, Dublin and Madrid, Lyon and Venice, Madrid and Split, Vienna and Split, Edinburgh and Madrid, Krakow and Edinburgh, Venice and Madrid, Vienna and Madrid, Venice and Vienna, Vienna and Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Split for 5 days. From day 20 to day 24, there is a annual show you want to attend in Split. You would like to visit Venice for 4 days. You plan to visit relatives in Venice between day 5 and day 8. You would like to visit Krakow for 2 days. You want to meet a friend in Krakow between day 12 and day 13. You want to spend 5 days in Madrid. You would like to visit Vienna for 5 days. You want to spend 3 days in Edinburgh. You have to attend a workshop in Edinburgh between day 14 and day 16. You want to spend 2 days in Dublin.\n\nHere are the cities that have direct flights:\nfrom Krakow to Split, from Dublin to Edinburgh, from Lyon to Split, from Venice to Edinburgh, from Dublin to Split, from Vienna to Dublin, from Lyon to Vienna, from Krakow to Dublin, from Lyon to Dublin, from Lyon to Madrid, from Venice to Dublin, from Dublin to Madrid, from Lyon to Venice, from Madrid to Split, from Vienna to Split, from Edinburgh to Madrid, from Krakow to Edinburgh, from Venice to Madrid, from Vienna to Madrid, from Venice to Vienna, from Vienna to Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Krakow.\n**Day 12-13:** Visit Krakow for 2 days.\n**Day 13:** Fly from Krakow to Dublin.\n**Day 13-14:** Visit Dublin for 2 days.\n**Day 14:** Fly from Dublin to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Split.\n**Day 20-24:** Visit Split for 5 days.",
    "id": "trip_planning_example_1091",
    "estimated_output_tokens": 2316,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Madrid, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Dublin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Fixed Schedule: Day 12 - 13.\n* City: Edinburgh, Fixed Schedule: Day 14 - 16.\n* City: Split, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Madrid, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Madrid, Vienna, Dublin] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 8).\n |- The departure day of Lyon is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 12 - 13).\n   |- The departure day of Venice is Day 8. The arrival day of Krakow is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Vienna, Dublin] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 12 - 13).\n     |- The departure day of Madrid is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Madrid to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Venice to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 12 - 13).\n     |- The departure day of Vienna is Day 12. The arrival day of Krakow is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Venice, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Vienna to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Edinburgh (Day 14 - 16).\n       |- The departure day of Krakow is Day 13. The arrival day of Edinburgh is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lyon, Venice, Vienna, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid, Dublin] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Krakow to Madrid.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Krakow to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Edinburgh (Day 14 - 16).\n         |- The departure day of Dublin is Day 14. The arrival day of Edinburgh is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Venice, Vienna, Krakow, Dublin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Dublin to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 20 - 24).\n           |- The departure day of Edinburgh is Day 16. The arrival day of Split is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Venice, Vienna, Krakow, Dublin, Edinburgh].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n             |- Try arranging to visit Madrid from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Edinburgh to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 20 - 24).\n             |- The departure day of Madrid is Day 20. The arrival day of Split is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lyon, Venice, Vienna, Krakow, Dublin, Edinburgh, Madrid].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Split.\n               |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Madrid to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Lyon, Venice, Vienna, Krakow, Dublin, Edinburgh, Madrid, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Krakow.\n**Day 12-13:** Visit Krakow for 2 days.\n**Day 13:** Fly from Krakow to Dublin.\n**Day 13-14:** Visit Dublin for 2 days.\n**Day 14:** Fly from Dublin to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Split.\n**Day 20-24:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Oslo**Prague**Krakow**Berlin**Paris**London**Mykonos",
    "ground_truth_durations": "4**4**2**3**2**5**3**2",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Paris"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "Oslo",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 4 days. You plan to stay in Berlin for 2 days. During day 10 and day 11, you have to attend a conference in Berlin. You want to spend 3 days in Krakow. You plan to stay in Mykonos for 2 days. You plan to stay in Prague for 2 days. You would like to visit Paris for 5 days. From day 11 to day 15, there is a annual show you want to attend in Paris. You would like to visit London for 3 days. You plan to visit relatives in London between day 15 and day 17. You would like to visit Oslo for 4 days.\n\nHere are the cities that have direct flights:\nPrague and Paris, Oslo and Prague, Hamburg and Paris, Krakow and Paris, London and Mykonos, Oslo and Berlin, Oslo and Krakow, Hamburg and London, Oslo and London, Hamburg and Oslo, Krakow and Berlin, Prague and London, Paris and London, Prague and Krakow, Krakow and London, Berlin and Paris, Berlin and London, Oslo and Paris.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 4 days. You plan to stay in Berlin for 2 days. During day 10 and day 11, you have to attend a conference in Berlin. You want to spend 3 days in Krakow. You plan to stay in Mykonos for 2 days. You plan to stay in Prague for 2 days. You would like to visit Paris for 5 days. From day 11 to day 15, there is a annual show you want to attend in Paris. You would like to visit London for 3 days. You plan to visit relatives in London between day 15 and day 17. You would like to visit Oslo for 4 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Paris, from Oslo to Prague, from Hamburg to Paris, from Krakow to Paris, from London to Mykonos, from Oslo to Berlin, from Oslo to Krakow, from Hamburg to London, from Oslo to London, from Hamburg to Oslo, from Krakow to Berlin, from Prague to London, from Paris to London, from Prague to Krakow, from Krakow to London, from Berlin to Paris, from Berlin to London, from Oslo to Paris.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Oslo.\n**Day 4-7:** Visit Oslo for 4 days.\n**Day 7:** Fly from Oslo to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.\n**Day 10:** Fly from Krakow to Berlin.\n**Day 10-11:** Visit Berlin for 2 days.\n**Day 11:** Fly from Berlin to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to London.\n**Day 15-17:** Visit London for 3 days.\n**Day 17:** Fly from London to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1092",
    "estimated_output_tokens": 2503,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Krakow, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: London, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Oslo, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 10 - 11.\n* City: Paris, Fixed Schedule: Day 11 - 15.\n* City: London, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Krakow, Mykonos, Prague, Oslo] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 10 - 11).\n |- The departure day of Hamburg is Day 4. The arrival day of Berlin is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Mykonos, Prague, Oslo] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Hamburg to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Hamburg to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 10 - 11).\n   |- The departure day of Oslo is Day 7. The arrival day of Berlin is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Oslo].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Mykonos, Prague] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Oslo to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 10 - 11).\n     |- The departure day of Krakow is Day 9. The arrival day of Berlin is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Oslo, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Prague] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Krakow to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Krakow to Prague.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Oslo to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Oslo to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 10 - 11).\n     |- The departure day of Prague is Day 8. The arrival day of Berlin is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Oslo, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Mykonos] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Prague to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 10 - 11).\n       |- The departure day of Krakow is Day 10. The arrival day of Berlin is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Oslo, Prague, Krakow].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Krakow to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 11 - 15).\n         |- The departure day of Berlin is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Oslo, Prague, Krakow, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n           |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Berlin to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: London (Day 15 - 17).\n           |- The departure day of Paris is Day 15. The arrival day of London is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Oslo, Prague, Krakow, Berlin, Paris].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: London.\n             |- Try arranging to visit London from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Paris to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Hamburg, Oslo, Prague, Krakow, Berlin, Paris, London].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from London to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Hamburg, Oslo, Prague, Krakow, Berlin, Paris, London, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Oslo.\n**Day 4-7:** Visit Oslo for 4 days.\n**Day 7:** Fly from Oslo to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.\n**Day 10:** Fly from Krakow to Berlin.\n**Day 10-11:** Visit Berlin for 2 days.\n**Day 11:** Fly from Berlin to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to London.\n**Day 15-17:** Visit London for 3 days.\n**Day 17:** Fly from London to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Athens**Mykonos**Budapest**Bucharest**Lyon**Frankfurt**Tallinn",
    "ground_truth_durations": "3**4**5**4**5**2**5**4",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Athens",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You plan to visit relatives in Budapest between day 10 and day 13. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 3 and day 6. You want to spend 5 days in Frankfurt. You would like to visit Lyon for 2 days. You plan to stay in Tallinn for 4 days. You want to spend 5 days in Mykonos. From day 6 to day 10, there is a annual show you want to attend in Mykonos. You plan to stay in Vilnius for 3 days. You would like to visit Bucharest for 5 days. You want to meet a friend in Bucharest between day 13 and day 17.\n\nHere are the cities that have direct flights:\nMykonos and Budapest, Vilnius and Athens, Budapest and Frankfurt, from Tallinn to Vilnius, Bucharest and Lyon, Bucharest and Frankfurt, Frankfurt and Tallinn, Vilnius and Frankfurt, Lyon and Frankfurt, Athens and Mykonos, Athens and Bucharest, Budapest and Bucharest, Athens and Frankfurt.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You plan to visit relatives in Budapest between day 10 and day 13. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 3 and day 6. You want to spend 5 days in Frankfurt. You would like to visit Lyon for 2 days. You plan to stay in Tallinn for 4 days. You want to spend 5 days in Mykonos. From day 6 to day 10, there is a annual show you want to attend in Mykonos. You plan to stay in Vilnius for 3 days. You would like to visit Bucharest for 5 days. You want to meet a friend in Bucharest between day 13 and day 17.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Budapest, from Vilnius to Athens, from Budapest to Frankfurt, from Tallinn to Vilnius, from Bucharest to Lyon, from Bucharest to Frankfurt, from Frankfurt to Tallinn, from Vilnius to Frankfurt, from Lyon to Frankfurt, from Athens to Mykonos, from Athens to Bucharest, from Budapest to Bucharest, from Athens to Frankfurt.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Budapest.\n**Day 10-13:** Visit Budapest for 4 days.\n**Day 13:** Fly from Budapest to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Lyon.\n**Day 17-18:** Visit Lyon for 2 days.\n**Day 18:** Fly from Lyon to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1093",
    "estimated_output_tokens": 3090,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Frankfurt, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Vilnius, Duration: 3 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 3 - 6.\n* City: Mykonos, Fixed Schedule: Day 6 - 10.\n* City: Budapest, Fixed Schedule: Day 10 - 13.\n* City: Bucharest, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Lyon, Tallinn, Vilnius] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 6).\n |- The departure day of Frankfurt is Day 5. The arrival day of Athens is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 6).\n |- The departure day of Lyon is Day 2. The arrival day of Athens is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn, Vilnius] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 6).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Athens is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 6).\n |- The departure day of Tallinn is Day 4. The arrival day of Athens is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 6).\n |- The departure day of Vilnius is Day 3. The arrival day of Athens is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 6 - 10).\n   |- The departure day of Athens is Day 6. The arrival day of Mykonos is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 10 - 13).\n     |- The departure day of Mykonos is Day 10. The arrival day of Budapest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Athens, Mykonos].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Mykonos to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 13 - 17).\n       |- The departure day of Budapest is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Athens, Mykonos, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Budapest to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon, Tallinn] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Bucharest to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest, Frankfurt].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Frankfurt to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Frankfurt to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest, Frankfurt, Tallinn].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Tallinn to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest, Lyon].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Lyon to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest, Lyon, Frankfurt].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Frankfurt to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Vilnius, Athens, Mykonos, Budapest, Bucharest, Lyon, Frankfurt, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Athens.\n**Day 3-6:** Visit Athens for 4 days.\n**Day 6:** Fly from Athens to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Budapest.\n**Day 10-13:** Visit Budapest for 4 days.\n**Day 13:** Fly from Budapest to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Lyon.\n**Day 17-18:** Visit Lyon for 2 days.\n**Day 18:** Fly from Lyon to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Krakow**Vienna**Riga**Hamburg**Barcelona**Edinburgh**Stockholm",
    "ground_truth_durations": "2**3**4**4**2**2**4**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 15,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You would like to visit Barcelona for 2 days. You plan to stay in Edinburgh for 4 days. You want to meet a friend in Edinburgh between day 12 and day 15. You would like to visit Krakow for 3 days. You plan to stay in Riga for 4 days. You would like to visit Hamburg for 2 days. During day 10 and day 11, you have to attend a conference in Hamburg. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 1 and day 2. You would like to visit Stockholm for 2 days. You plan to visit relatives in Stockholm between day 15 and day 16.\n\nHere are the cities that have direct flights:\nHamburg and Stockholm, Vienna and Stockholm, Paris and Edinburgh, Riga and Barcelona, Paris and Riga, Krakow and Barcelona, Edinburgh and Stockholm, Paris and Krakow, Krakow and Stockholm, Riga and Edinburgh, Barcelona and Stockholm, Paris and Stockholm, Krakow and Edinburgh, Vienna and Hamburg, Paris and Hamburg, Riga and Stockholm, Hamburg and Barcelona, Vienna and Barcelona, Krakow and Vienna, from Riga to Hamburg, Barcelona and Edinburgh, Paris and Barcelona, Hamburg and Edinburgh, Paris and Vienna, Vienna and Riga.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vienna. You would like to visit Barcelona for 2 days. You plan to stay in Edinburgh for 4 days. You want to meet a friend in Edinburgh between day 12 and day 15. You would like to visit Krakow for 3 days. You plan to stay in Riga for 4 days. You would like to visit Hamburg for 2 days. During day 10 and day 11, you have to attend a conference in Hamburg. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 1 and day 2. You would like to visit Stockholm for 2 days. You plan to visit relatives in Stockholm between day 15 and day 16.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Stockholm, from Vienna to Stockholm, from Paris to Edinburgh, from Riga to Barcelona, from Paris to Riga, from Krakow to Barcelona, from Edinburgh to Stockholm, from Paris to Krakow, from Krakow to Stockholm, from Riga to Edinburgh, from Barcelona to Stockholm, from Paris to Stockholm, from Krakow to Edinburgh, from Vienna to Hamburg, from Paris to Hamburg, from Riga to Stockholm, from Hamburg to Barcelona, from Vienna to Barcelona, from Krakow to Vienna, from Riga to Hamburg, from Barcelona to Edinburgh, from Paris to Barcelona, from Hamburg to Edinburgh, from Paris to Vienna, from Vienna to Riga.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Krakow.\n**Day 2-4:** Visit Krakow for 3 days.\n**Day 4:** Fly from Krakow to Vienna.\n**Day 4-7:** Visit Vienna for 4 days.\n**Day 7:** Fly from Vienna to Riga.\n**Day 7-10:** Visit Riga for 4 days.\n**Day 10:** Fly from Riga to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Barcelona.\n**Day 11-12:** Visit Barcelona for 2 days.\n**Day 12:** Fly from Barcelona to Edinburgh.\n**Day 12-15:** Visit Edinburgh for 4 days.\n**Day 15:** Fly from Edinburgh to Stockholm.\n**Day 15-16:** Visit Stockholm for 2 days.",
    "id": "trip_planning_example_1094",
    "estimated_output_tokens": 3720,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Krakow, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Fixed Schedule: Day 10 - 11.\n* City: Edinburgh, Fixed Schedule: Day 12 - 15.\n* City: Stockholm, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 10 - 11).\n |- The departure day of Paris is Day 2. The arrival day of Hamburg is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Barcelona, Krakow, Riga] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 10 - 11).\n   |- The departure day of Vienna is Day 5. The arrival day of Hamburg is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Krakow, Riga] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vienna to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 10 - 11).\n     |- The departure day of Barcelona is Day 6. The arrival day of Hamburg is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Paris, Vienna, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Riga] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Barcelona to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 10 - 11).\n     |- The departure day of Riga is Day 8. The arrival day of Hamburg is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Paris, Vienna, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Krakow] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Riga to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 10 - 11).\n       |- The departure day of Barcelona is Day 9. The arrival day of Hamburg is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Vienna, Riga, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Barcelona to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Riga to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 10 - 11).\n   |- The departure day of Barcelona is Day 3. The arrival day of Hamburg is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Barcelona].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Krakow, Riga] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Barcelona to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Barcelona to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Paris to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 10 - 11).\n   |- The departure day of Krakow is Day 4. The arrival day of Hamburg is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Krakow].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Barcelona, Riga] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Krakow to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 10 - 11).\n     |- The departure day of Vienna is Day 7. The arrival day of Hamburg is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Krakow, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Riga] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 10 - 11).\n       |- The departure day of Barcelona is Day 8. The arrival day of Hamburg is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Paris, Krakow, Vienna, Barcelona].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n         |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Barcelona to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vienna to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 10 - 11).\n       |- The departure day of Riga is Day 10. The arrival day of Hamburg is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Paris, Krakow, Vienna, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Riga to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Edinburgh (Day 12 - 15).\n         |- The departure day of Hamburg is Day 11. The arrival day of Edinburgh is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Paris, Krakow, Vienna, Riga, Hamburg].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Hamburg to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Edinburgh (Day 12 - 15).\n           |- The departure day of Barcelona is Day 12. The arrival day of Edinburgh is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Paris, Krakow, Vienna, Riga, Hamburg, Barcelona].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Edinburgh.\n             |- Try arranging to visit Edinburgh from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Barcelona to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 15 - 16).\n             |- The departure day of Edinburgh is Day 15. The arrival day of Stockholm is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Krakow, Vienna, Riga, Hamburg, Barcelona, Edinburgh].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Edinburgh to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Paris, Krakow, Vienna, Riga, Hamburg, Barcelona, Edinburgh, Stockholm].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Krakow.\n**Day 2-4:** Visit Krakow for 3 days.\n**Day 4:** Fly from Krakow to Vienna.\n**Day 4-7:** Visit Vienna for 4 days.\n**Day 7:** Fly from Vienna to Riga.\n**Day 7-10:** Visit Riga for 4 days.\n**Day 10:** Fly from Riga to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Barcelona.\n**Day 11-12:** Visit Barcelona for 2 days.\n**Day 12:** Fly from Barcelona to Edinburgh.\n**Day 12-15:** Visit Edinburgh for 4 days.\n**Day 15:** Fly from Edinburgh to Stockholm.\n**Day 15-16:** Visit Stockholm for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Lyon**Frankfurt**Hamburg**Copenhagen**Tallinn**Berlin**Riga",
    "ground_truth_durations": "2**2**2**2**5**3**5**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Copenhagen. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 1 and day 2. You would like to visit Tallinn for 3 days. You plan to stay in Berlin for 5 days. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Lyon. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 15 and day 16. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Riga, Prague and Lyon, Tallinn and Berlin, Lyon and Frankfurt, Prague and Frankfurt, Berlin and Riga, Frankfurt and Copenhagen, Prague and Tallinn, Copenhagen and Tallinn, from Riga to Hamburg, Prague and Copenhagen, Prague and Riga, Copenhagen and Berlin, from Riga to Tallinn, Frankfurt and Riga, Frankfurt and Hamburg, Hamburg and Copenhagen, Frankfurt and Berlin, Frankfurt and Tallinn.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Copenhagen. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 1 and day 2. You would like to visit Tallinn for 3 days. You plan to stay in Berlin for 5 days. You plan to stay in Hamburg for 2 days. You want to spend 2 days in Lyon. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 15 and day 16. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Riga, from Prague to Lyon, from Tallinn to Berlin, from Lyon to Frankfurt, from Prague to Frankfurt, from Berlin to Riga, from Frankfurt to Copenhagen, from Prague to Tallinn, from Copenhagen to Tallinn, from Riga to Hamburg, from Prague to Copenhagen, from Prague to Riga, from Copenhagen to Berlin, from Riga to Tallinn, from Frankfurt to Riga, from Frankfurt to Hamburg, from Hamburg to Copenhagen, from Frankfurt to Berlin, from Frankfurt to Tallinn.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Hamburg.\n**Day 4-5:** Visit Hamburg for 2 days.\n**Day 5:** Fly from Hamburg to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Riga.\n**Day 15-16:** Visit Riga for 2 days.",
    "id": "trip_planning_example_1095",
    "estimated_output_tokens": 6675,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Frankfurt, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 2.\n* City: Riga, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 15 - 16).\n |- The departure day of Prague is Day 2. The arrival day of Riga is Day 15. Day 2 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Berlin, Hamburg, Lyon, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 15 - 16).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Riga is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin, Hamburg, Lyon, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 15 - 16).\n     |- The departure day of Tallinn is Day 8. The arrival day of Riga is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Copenhagen, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Hamburg, Lyon, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 15 - 16).\n       |- The departure day of Berlin is Day 12. The arrival day of Riga is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Prague, Copenhagen, Tallinn, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Berlin to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Berlin to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Berlin to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 15 - 16).\n     |- The departure day of Berlin is Day 10. The arrival day of Riga is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Prague, Copenhagen, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg, Lyon, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 15 - 16).\n   |- The departure day of Tallinn is Day 4. The arrival day of Riga is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Berlin, Hamburg, Lyon, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 16).\n     |- The departure day of Berlin is Day 8. The arrival day of Riga is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Tallinn, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg, Lyon, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Berlin to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Berlin to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Berlin to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 15 - 16).\n   |- The departure day of Lyon is Day 3. The arrival day of Riga is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Berlin, Hamburg, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lyon to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lyon to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 15 - 16).\n     |- The departure day of Frankfurt is Day 4. The arrival day of Riga is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Prague, Lyon, Frankfurt].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Berlin, Hamburg] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Frankfurt to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 16).\n       |- The departure day of Copenhagen is Day 8. The arrival day of Riga is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Prague, Lyon, Frankfurt, Copenhagen].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin, Hamburg] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Copenhagen to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 15 - 16).\n         |- The departure day of Tallinn is Day 10. The arrival day of Riga is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Prague, Lyon, Frankfurt, Copenhagen, Tallinn].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Hamburg] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Tallinn to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Riga (Day 15 - 16).\n           |- The departure day of Berlin is Day 14. The arrival day of Riga is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Prague, Lyon, Frankfurt, Copenhagen, Tallinn, Berlin].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Berlin to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Tallinn to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Copenhagen to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 15 - 16).\n         |- The departure day of Berlin is Day 12. The arrival day of Riga is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Prague, Lyon, Frankfurt, Copenhagen, Berlin].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Berlin to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Berlin to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Copenhagen to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 16).\n       |- The departure day of Tallinn is Day 6. The arrival day of Riga is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Prague, Lyon, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Berlin, Hamburg] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Tallinn to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Tallinn to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 15 - 16).\n         |- The departure day of Berlin is Day 10. The arrival day of Riga is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Prague, Lyon, Frankfurt, Tallinn, Berlin].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Berlin to Copenhagen.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Berlin to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Tallinn to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Frankfurt to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 16).\n       |- The departure day of Berlin is Day 8. The arrival day of Riga is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Prague, Lyon, Frankfurt, Berlin].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Hamburg] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Berlin to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Berlin to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Berlin to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Frankfurt to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 16).\n       |- The departure day of Hamburg is Day 5. The arrival day of Riga is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Prague, Lyon, Frankfurt, Hamburg].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Berlin] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from Hamburg to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 15 - 16).\n         |- The departure day of Copenhagen is Day 9. The arrival day of Riga is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Prague, Lyon, Frankfurt, Hamburg, Copenhagen].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Copenhagen to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 15 - 16).\n           |- The departure day of Tallinn is Day 11. The arrival day of Riga is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Prague, Lyon, Frankfurt, Hamburg, Copenhagen, Tallinn].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Tallinn to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 16).\n             |- The departure day of Berlin is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Prague, Lyon, Frankfurt, Hamburg, Copenhagen, Tallinn, Berlin].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Berlin to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Prague, Lyon, Frankfurt, Hamburg, Copenhagen, Tallinn, Berlin, Riga].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Hamburg.\n**Day 4-5:** Visit Hamburg for 2 days.\n**Day 5:** Fly from Hamburg to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Berlin.\n**Day 11-15:** Visit Berlin for 5 days.\n**Day 15:** Fly from Berlin to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Riga**Barcelona**Seville**Amsterdam**Berlin**Warsaw**Stuttgart",
    "ground_truth_durations": "3**4**4**5**3**4**2**3",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 15 and day 18. You plan to stay in Amsterdam for 3 days. You want to meet a friend in Amsterdam between day 13 and day 15. You plan to stay in Warsaw for 2 days. You would like to meet your friends at Warsaw between day 18 and day 19 to tour together. You want to spend 4 days in Barcelona. You want to spend 3 days in Stuttgart. You would like to visit Riga for 4 days. You have to attend a workshop in Riga between day 3 and day 6. You plan to stay in Seville for 5 days. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nBerlin and Warsaw, Riga and Berlin, Copenhagen and Amsterdam, Barcelona and Amsterdam, Riga and Warsaw, Copenhagen and Warsaw, Copenhagen and Berlin, Riga and Amsterdam, Copenhagen and Barcelona, Riga and Barcelona, Berlin and Stuttgart, Warsaw and Stuttgart, Copenhagen and Stuttgart, Barcelona and Stuttgart, Amsterdam and Stuttgart, Barcelona and Warsaw, Copenhagen and Riga, Barcelona and Seville, Barcelona and Berlin, Amsterdam and Warsaw, Seville and Amsterdam, Amsterdam and Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 15 and day 18. You plan to stay in Amsterdam for 3 days. You want to meet a friend in Amsterdam between day 13 and day 15. You plan to stay in Warsaw for 2 days. You would like to meet your friends at Warsaw between day 18 and day 19 to tour together. You want to spend 4 days in Barcelona. You want to spend 3 days in Stuttgart. You would like to visit Riga for 4 days. You have to attend a workshop in Riga between day 3 and day 6. You plan to stay in Seville for 5 days. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Warsaw, from Riga to Berlin, from Copenhagen to Amsterdam, from Barcelona to Amsterdam, from Riga to Warsaw, from Copenhagen to Warsaw, from Copenhagen to Berlin, from Riga to Amsterdam, from Copenhagen to Barcelona, from Riga to Barcelona, from Berlin to Stuttgart, from Warsaw to Stuttgart, from Copenhagen to Stuttgart, from Barcelona to Stuttgart, from Amsterdam to Stuttgart, from Barcelona to Warsaw, from Copenhagen to Riga, from Barcelona to Seville, from Barcelona to Berlin, from Amsterdam to Warsaw, from Seville to Amsterdam, from Amsterdam to Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Riga.\n**Day 3-6:** Visit Riga for 4 days.\n**Day 6:** Fly from Riga to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Amsterdam.\n**Day 13-15:** Visit Amsterdam for 3 days.\n**Day 15:** Fly from Amsterdam to Berlin.\n**Day 15-18:** Visit Berlin for 4 days.\n**Day 18:** Fly from Berlin to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n**Day 19:** Fly from Warsaw to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1096",
    "estimated_output_tokens": 2726,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Barcelona, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Seville, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 3 - 6.\n* City: Amsterdam, Fixed Schedule: Day 13 - 15.\n* City: Berlin, Fixed Schedule: Day 15 - 18.\n* City: Warsaw, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Stuttgart, Seville, Copenhagen] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 6).\n |- The departure day of Barcelona is Day 4. The arrival day of Riga is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 6).\n |- The departure day of Stuttgart is Day 3. The arrival day of Riga is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 6).\n |- The departure day of Seville is Day 5. The arrival day of Riga is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 3 - 6).\n |- The departure day of Copenhagen is Day 3. The arrival day of Riga is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 13 - 15).\n   |- The departure day of Riga is Day 6. The arrival day of Amsterdam is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Stuttgart, Seville] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Riga to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 13 - 15).\n     |- The departure day of Barcelona is Day 9. The arrival day of Amsterdam is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Riga, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Seville] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Barcelona to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 13 - 15).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Amsterdam is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Riga, Barcelona, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Stuttgart to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Barcelona to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 13 - 15).\n       |- The departure day of Seville is Day 13. The arrival day of Amsterdam is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Riga, Barcelona, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Seville to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Berlin (Day 15 - 18).\n         |- The departure day of Amsterdam is Day 15. The arrival day of Berlin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Riga, Barcelona, Seville, Amsterdam].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Amsterdam to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 18 - 19).\n           |- The departure day of Berlin is Day 18. The arrival day of Warsaw is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Riga, Barcelona, Seville, Amsterdam, Berlin].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Warsaw.\n             |- Try arranging to visit Warsaw from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Berlin to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Copenhagen, Riga, Barcelona, Seville, Amsterdam, Berlin, Warsaw].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Warsaw to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Copenhagen, Riga, Barcelona, Seville, Amsterdam, Berlin, Warsaw, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Riga.\n**Day 3-6:** Visit Riga for 4 days.\n**Day 6:** Fly from Riga to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Amsterdam.\n**Day 13-15:** Visit Amsterdam for 3 days.\n**Day 15:** Fly from Amsterdam to Berlin.\n**Day 15-18:** Visit Berlin for 4 days.\n**Day 18:** Fly from Berlin to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n**Day 19:** Fly from Warsaw to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Riga**Oslo**Dubrovnik**Madrid**Lyon**London**Reykjavik",
    "ground_truth_durations": "4**2**3**2**2**5**3**4",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Warsaw",
        "London"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Riga. You want to meet a friend in Riga between day 4 and day 5. You plan to stay in Oslo for 3 days. You want to spend 5 days in Lyon. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 7 and day 8. You want to spend 2 days in Madrid. You want to spend 4 days in Warsaw. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nWarsaw and Reykjavik, Oslo and Madrid, Warsaw and Riga, Lyon and London, Madrid and London, Warsaw and London, from Reykjavik to Madrid, Warsaw and Oslo, Oslo and Dubrovnik, Oslo and Reykjavik, Riga and Oslo, Oslo and Lyon, Oslo and London, London and Reykjavik, Warsaw and Madrid, Madrid and Lyon, Dubrovnik and Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Riga. You want to meet a friend in Riga between day 4 and day 5. You plan to stay in Oslo for 3 days. You want to spend 5 days in Lyon. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 7 and day 8. You want to spend 2 days in Madrid. You want to spend 4 days in Warsaw. You would like to visit London for 3 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Reykjavik, from Oslo to Madrid, from Warsaw to Riga, from Lyon to London, from Madrid to London, from Warsaw to London, from Reykjavik to Madrid, from Warsaw to Oslo, from Oslo to Dubrovnik, from Oslo to Reykjavik, from Riga to Oslo, from Oslo to Lyon, from Oslo to London, from London to Reykjavik, from Warsaw to Madrid, from Madrid to Lyon, from Dubrovnik to Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Reykjavik.\n**Day 15-18:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1097",
    "estimated_output_tokens": 4153,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Oslo, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Madrid, Duration: 2 days.\n* City: Warsaw, Duration: 4 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Warsaw, Duration: 4 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Lyon, Madrid, Warsaw, London] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 5).\n |- The departure day of Reykjavik is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 5).\n |- The departure day of Oslo is Day 3. The arrival day of Riga is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lyon, Madrid, Warsaw, London] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 5).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Riga is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 5).\n   |- The departure day of Lyon is Day 7. The arrival day of Riga is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 5).\n   |- The departure day of Madrid is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Madrid to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 4 - 5).\n   |- The departure day of London is Day 5. The arrival day of Riga is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 5).\n |- The departure day of Lyon is Day 5. The arrival day of Riga is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 5).\n |- The departure day of Madrid is Day 2. The arrival day of Riga is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Lyon, Warsaw, London] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 5).\n   |- The departure day of Lyon is Day 6. The arrival day of Riga is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 4 - 5).\n   |- The departure day of London is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 4 - 5).\n |- The departure day of Warsaw is Day 4. The arrival day of Riga is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 8).\n   |- The departure day of Riga is Day 5. The arrival day of Dubrovnik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo, Lyon, Madrid, London] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Riga to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Riga to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 7 - 8).\n     |- The departure day of Oslo is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Warsaw, Riga, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Warsaw, Riga, Oslo, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lyon, Madrid, London] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Dubrovnik to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Dubrovnik to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Dubrovnik to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Warsaw, Riga, Oslo, Dubrovnik, Madrid].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lyon, London] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Madrid to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Madrid to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Warsaw, Riga, Oslo, Dubrovnik, Madrid, Lyon].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, London] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Lyon to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Lyon to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Warsaw, Riga, Oslo, Dubrovnik, Madrid, Lyon, London].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from London to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Warsaw, Riga, Oslo, Dubrovnik, Madrid, Lyon, London, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Riga.\n**Day 4-5:** Visit Riga for 2 days.\n**Day 5:** Fly from Riga to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Reykjavik.\n**Day 15-18:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Venice**Istanbul**Riga**Milan**Valencia**Brussels**Reykjavik",
    "ground_truth_durations": "4**5**3**5**5**3**5**4",
    "num_cities": 8,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Milan",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You plan to stay in Stuttgart for 4 days. You would like to visit Brussels for 5 days. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 18 and day 20. You want to spend 5 days in Milan. You plan to visit relatives in Milan between day 14 and day 18. You plan to stay in Riga for 5 days. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 8 and day 10 to tour together. You plan to stay in Venice for 5 days. You want to meet a friend in Venice between day 4 and day 8.\n\nHere are the cities that have direct flights:\nStuttgart and Milan, Istanbul and Riga, Milan and Valencia, Brussels and Reykjavik, Stuttgart and Venice, Istanbul and Milan, Riga and Brussels, Stuttgart and Istanbul, Venice and Istanbul, from Reykjavik to Stuttgart, Riga and Milan, Venice and Brussels, Istanbul and Brussels, Stuttgart and Valencia, Milan and Reykjavik, Valencia and Brussels, Istanbul and Valencia, Milan and Brussels.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You plan to stay in Stuttgart for 4 days. You would like to visit Brussels for 5 days. You want to spend 3 days in Valencia. You have to attend a workshop in Valencia between day 18 and day 20. You want to spend 5 days in Milan. You plan to visit relatives in Milan between day 14 and day 18. You plan to stay in Riga for 5 days. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 8 and day 10 to tour together. You plan to stay in Venice for 5 days. You want to meet a friend in Venice between day 4 and day 8.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Milan, from Istanbul to Riga, from Milan to Valencia, from Brussels to Reykjavik, from Stuttgart to Venice, from Istanbul to Milan, from Riga to Brussels, from Stuttgart to Istanbul, from Venice to Istanbul, from Reykjavik to Stuttgart, from Riga to Milan, from Venice to Brussels, from Istanbul to Brussels, from Stuttgart to Valencia, from Milan to Reykjavik, from Valencia to Brussels, from Istanbul to Valencia, from Milan to Brussels.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 27 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Valencia.\n**Day 18-20:** Visit Valencia for 3 days.\n**Day 20:** Fly from Valencia to Brussels.\n**Day 20-24:** Visit Brussels for 5 days.\n**Day 24:** Fly from Brussels to Reykjavik.\n**Day 24-27:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1098",
    "estimated_output_tokens": 2581,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Riga, Duration: 5 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 4 - 8.\n* City: Istanbul, Fixed Schedule: Day 8 - 10.\n* City: Milan, Fixed Schedule: Day 14 - 18.\n* City: Valencia, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Brussels, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Stuttgart, Brussels, Riga] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 8).\n |- The departure day of Reykjavik is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 8).\n |- The departure day of Stuttgart is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 8 - 10).\n   |- The departure day of Venice is Day 8. The arrival day of Istanbul is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 14 - 18).\n     |- The departure day of Istanbul is Day 10. The arrival day of Milan is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stuttgart, Venice, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels, Riga] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Istanbul to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n       |- The departure day of Brussels is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Venice, Istanbul, Brussels].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Brussels to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Istanbul to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 14 - 18).\n       |- The departure day of Riga is Day 14. The arrival day of Milan is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Venice, Istanbul, Riga].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Riga to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 18 - 20).\n         |- The departure day of Milan is Day 18. The arrival day of Valencia is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Venice, Istanbul, Riga, Milan].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Milan to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Venice, Istanbul, Riga, Milan, Valencia].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Valencia to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Brussels from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Valencia to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Stuttgart, Venice, Istanbul, Riga, Milan, Valencia, Brussels].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Brussels to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Stuttgart, Venice, Istanbul, Riga, Milan, Valencia, Brussels, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Milan.\n**Day 14-18:** Visit Milan for 5 days.\n**Day 18:** Fly from Milan to Valencia.\n**Day 18-20:** Visit Valencia for 3 days.\n**Day 20:** Fly from Valencia to Brussels.\n**Day 20-24:** Visit Brussels for 5 days.\n**Day 24:** Fly from Brussels to Reykjavik.\n**Day 24-27:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Tallinn**Copenhagen**Lisbon**Stuttgart**Vienna**Mykonos",
    "ground_truth_durations": "2**2**3**2**2**2**2**5",
    "num_cities": 8,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Istanbul",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 3 days. You plan to stay in Vienna for 2 days. You have to attend a workshop in Vienna between day 8 and day 9. You plan to stay in Dubrovnik for 2 days. You want to meet a friend in Dubrovnik between day 1 and day 2. You want to spend 2 days in Lisbon. You would like to visit Istanbul for 2 days. You want to spend 5 days in Mykonos. You want to spend 2 days in Stuttgart. During day 7 and day 8, you have to attend a conference in Stuttgart. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Mykonos, Istanbul and Copenhagen, Copenhagen and Lisbon, Tallinn and Copenhagen, from Dubrovnik to Istanbul, Lisbon and Stuttgart, Stuttgart and Vienna, Dubrovnik and Copenhagen, Istanbul and Lisbon, Lisbon and Vienna, from Istanbul to Tallinn, Copenhagen and Stuttgart, Copenhagen and Vienna, Istanbul and Stuttgart, Dubrovnik and Vienna, Istanbul and Vienna.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 3 days. You plan to stay in Vienna for 2 days. You have to attend a workshop in Vienna between day 8 and day 9. You plan to stay in Dubrovnik for 2 days. You want to meet a friend in Dubrovnik between day 1 and day 2. You want to spend 2 days in Lisbon. You would like to visit Istanbul for 2 days. You want to spend 5 days in Mykonos. You want to spend 2 days in Stuttgart. During day 7 and day 8, you have to attend a conference in Stuttgart. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Mykonos, from Istanbul to Copenhagen, from Copenhagen to Lisbon, from Tallinn to Copenhagen, from Dubrovnik to Istanbul, from Lisbon to Stuttgart, from Stuttgart to Vienna, from Dubrovnik to Copenhagen, from Istanbul to Lisbon, from Lisbon to Vienna, from Istanbul to Tallinn, from Copenhagen to Stuttgart, from Copenhagen to Vienna, from Istanbul to Stuttgart, from Dubrovnik to Vienna, from Istanbul to Vienna.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 13 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Tallinn.\n**Day 3-5:** Visit Tallinn for 3 days.\n**Day 5:** Fly from Tallinn to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Vienna.\n**Day 8-9:** Visit Vienna for 2 days.\n**Day 9:** Fly from Vienna to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1099",
    "estimated_output_tokens": 2221,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 2.\n* City: Stuttgart, Fixed Schedule: Day 7 - 8.\n* City: Vienna, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 7 - 8).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Stuttgart is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Lisbon, Istanbul, Mykonos, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 7 - 8).\n   |- The departure day of Istanbul is Day 3. The arrival day of Stuttgart is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Lisbon, Mykonos, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 7 - 8).\n     |- The departure day of Tallinn is Day 5. The arrival day of Stuttgart is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Dubrovnik, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Tallinn to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Tallinn to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Tallinn to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 7 - 8).\n       |- The departure day of Copenhagen is Day 6. The arrival day of Stuttgart is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Dubrovnik, Istanbul, Tallinn, Copenhagen].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Copenhagen to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 8).\n         |- The departure day of Lisbon is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 7. Current plan: [Dubrovnik, Istanbul, Tallinn, Copenhagen, Lisbon].\n          |- Check whether the city with an arrival day of Day 7 - is fixed.\n          |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n           |- Check for direct flight from Lisbon to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 8 - 9).\n           |- The departure day of Stuttgart is Day 8. The arrival day of Vienna is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 8. Current plan: [Dubrovnik, Istanbul, Tallinn, Copenhagen, Lisbon, Stuttgart].\n            |- Check whether the city with an arrival day of Day 8 - is fixed.\n            |- Yes. The city with an arrival day of Day 8 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n             |- Check for direct flight from Stuttgart to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 9. Current plan: [Dubrovnik, Istanbul, Tallinn, Copenhagen, Lisbon, Stuttgart, Vienna].\n              |- Check whether the city with an arrival day of Day 9 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n               |- Check for direct flight from Vienna to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 13. Current plan: [Dubrovnik, Istanbul, Tallinn, Copenhagen, Lisbon, Stuttgart, Vienna, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Tallinn.\n**Day 3-5:** Visit Tallinn for 3 days.\n**Day 5:** Fly from Tallinn to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Vienna.\n**Day 8-9:** Visit Vienna for 2 days.\n**Day 9:** Fly from Vienna to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Venice**Copenhagen**Vilnius**Warsaw**Amsterdam**Mykonos",
    "ground_truth_durations": "5**2**5**2**4**4**2**5",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Venice for 5 days. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 14 and day 17. You want to spend 5 days in Mykonos. You plan to stay in Salzburg for 5 days. You plan to stay in Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 17 and day 18 to tour together. You plan to stay in Hamburg for 2 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nWarsaw and Amsterdam, Hamburg and Venice, Hamburg and Warsaw, Venice and Warsaw, Hamburg and Amsterdam, Venice and Copenhagen, Vilnius and Amsterdam, Vilnius and Warsaw, Hamburg and Copenhagen, Salzburg and Hamburg, Copenhagen and Amsterdam, Copenhagen and Vilnius, Copenhagen and Warsaw, Venice and Amsterdam, Amsterdam and Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Venice for 5 days. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 14 and day 17. You want to spend 5 days in Mykonos. You plan to stay in Salzburg for 5 days. You plan to stay in Amsterdam for 2 days. You would like to meet your friends at Amsterdam between day 17 and day 18 to tour together. You plan to stay in Hamburg for 2 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Amsterdam, from Hamburg to Venice, from Hamburg to Warsaw, from Venice to Warsaw, from Hamburg to Amsterdam, from Venice to Copenhagen, from Vilnius to Amsterdam, from Vilnius to Warsaw, from Hamburg to Copenhagen, from Salzburg to Hamburg, from Copenhagen to Amsterdam, from Copenhagen to Vilnius, from Copenhagen to Warsaw, from Venice to Amsterdam, from Amsterdam to Mykonos.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-6:** Visit Hamburg for 2 days.\n**Day 6:** Fly from Hamburg to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Copenhagen.\n**Day 10-11:** Visit Copenhagen for 2 days.\n**Day 11:** Fly from Copenhagen to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Warsaw.\n**Day 14-17:** Visit Warsaw for 4 days.\n**Day 17:** Fly from Warsaw to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.\n**Day 18:** Fly from Amsterdam to Mykonos.\n**Day 18-22:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1100",
    "estimated_output_tokens": 4393,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Mykonos, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Hamburg, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 14 - 17.\n* City: Amsterdam, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Venice, Mykonos, Salzburg, Hamburg, Copenhagen] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 17).\n |- The departure day of Vilnius is Day 4. The arrival day of Warsaw is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Mykonos, Salzburg, Hamburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 17).\n |- The departure day of Venice is Day 5. The arrival day of Warsaw is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos, Salzburg, Hamburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 14 - 17).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Warsaw is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos, Salzburg, Hamburg] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Warsaw (Day 14 - 17).\n     |- The departure day of Vilnius is Day 9. The arrival day of Warsaw is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Copenhagen, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Salzburg, Hamburg] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vilnius to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 17).\n |- The departure day of Mykonos is Day 5. The arrival day of Warsaw is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Salzburg, Hamburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 14 - 17).\n |- The departure day of Salzburg is Day 5. The arrival day of Warsaw is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Mykonos, Hamburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 14 - 17).\n   |- The departure day of Hamburg is Day 6. The arrival day of Warsaw is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Venice, Mykonos, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Hamburg to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Warsaw (Day 14 - 17).\n     |- The departure day of Venice is Day 10. The arrival day of Warsaw is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Hamburg, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 14 - 17).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Warsaw is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Hamburg, Venice, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Copenhagen to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 14 - 17).\n         |- The departure day of Vilnius is Day 14. The arrival day of Warsaw is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Hamburg, Venice, Copenhagen, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vilnius to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 17 - 18).\n           |- The departure day of Warsaw is Day 17. The arrival day of Amsterdam is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Salzburg, Hamburg, Venice, Copenhagen, Vilnius, Warsaw].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Warsaw to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Salzburg, Hamburg, Venice, Copenhagen, Vilnius, Warsaw, Amsterdam].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Amsterdam to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Salzburg, Hamburg, Venice, Copenhagen, Vilnius, Warsaw, Amsterdam, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-6:** Visit Hamburg for 2 days.\n**Day 6:** Fly from Hamburg to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Copenhagen.\n**Day 10-11:** Visit Copenhagen for 2 days.\n**Day 11:** Fly from Copenhagen to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Warsaw.\n**Day 14-17:** Visit Warsaw for 4 days.\n**Day 17:** Fly from Warsaw to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.\n**Day 18:** Fly from Amsterdam to Mykonos.\n**Day 18-22:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Berlin**Lisbon**Budapest**Prague**Lyon**Venice**Santorini",
    "ground_truth_durations": "5**3**2**5**4**4**2**4",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Budapest",
        "Prague"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Venice",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You plan to stay in Lyon for 4 days. You plan to visit relatives in Lyon between day 15 and day 18. You want to spend 2 days in Venice. You plan to stay in Prague for 4 days. You would like to visit Edinburgh for 5 days. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 7 and day 8. You plan to stay in Santorini for 4 days. You want to spend 5 days in Budapest. You are going to attend a wedding in Budapest between day 8 and day 12.\n\nHere are the cities that have direct flights:\nLisbon and Lyon, Budapest and Prague, Berlin and Lisbon, Edinburgh and Prague, Edinburgh and Budapest, Lisbon and Venice, Berlin and Venice, Edinburgh and Berlin, Lisbon and Budapest, Prague and Lyon, Edinburgh and Venice, Lyon and Venice, Lisbon and Prague, Berlin and Budapest, Venice and Santorini.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 3 days. You plan to stay in Lyon for 4 days. You plan to visit relatives in Lyon between day 15 and day 18. You want to spend 2 days in Venice. You plan to stay in Prague for 4 days. You would like to visit Edinburgh for 5 days. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 7 and day 8. You plan to stay in Santorini for 4 days. You want to spend 5 days in Budapest. You are going to attend a wedding in Budapest between day 8 and day 12.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Lyon, from Budapest to Prague, from Berlin to Lisbon, from Edinburgh to Prague, from Edinburgh to Budapest, from Lisbon to Venice, from Berlin to Venice, from Edinburgh to Berlin, from Lisbon to Budapest, from Prague to Lyon, from Edinburgh to Venice, from Lyon to Venice, from Lisbon to Prague, from Berlin to Budapest, from Venice to Santorini.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Budapest.\n**Day 8-12:** Visit Budapest for 5 days.\n**Day 12:** Fly from Budapest to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Venice.\n**Day 18-19:** Visit Venice for 2 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1101",
    "estimated_output_tokens": 3999,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Venice, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Santorini, Duration: 4 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 7 - 8.\n* City: Budapest, Fixed Schedule: Day 8 - 12.\n* City: Lyon, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Venice, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Venice, Prague, Edinburgh, Santorini] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 7 - 8).\n |- The departure day of Berlin is Day 3. The arrival day of Lisbon is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Edinburgh, Santorini] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 7 - 8).\n   |- The departure day of Venice is Day 4. The arrival day of Lisbon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Edinburgh, Santorini] and explore these options in order.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Venice to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Venice to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 7 - 8).\n     |- The departure day of Santorini is Day 7. The arrival day of Lisbon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Venice, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Santorini to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 7 - 8).\n |- The departure day of Venice is Day 2. The arrival day of Lisbon is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Edinburgh, Santorini] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 7 - 8).\n   |- The departure day of Santorini is Day 5. The arrival day of Lisbon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Santorini to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Santorini to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 7 - 8).\n |- The departure day of Prague is Day 4. The arrival day of Lisbon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Venice, Edinburgh, Santorini] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Prague to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 7 - 8).\n |- The departure day of Edinburgh is Day 5. The arrival day of Lisbon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Venice, Prague, Santorini] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Edinburgh to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 7 - 8).\n   |- The departure day of Berlin is Day 7. The arrival day of Lisbon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Berlin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 8 - 12).\n     |- The departure day of Lisbon is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Berlin, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lisbon to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 15 - 18).\n       |- The departure day of Budapest is Day 12. The arrival day of Lyon is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Edinburgh, Berlin, Lisbon, Budapest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Budapest to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Budapest to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 15 - 18).\n         |- The departure day of Prague is Day 15. The arrival day of Lyon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Edinburgh, Berlin, Lisbon, Budapest, Prague].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Prague to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Edinburgh, Berlin, Lisbon, Budapest, Prague, Lyon].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Santorini] and explore these options in order.\n             |- Try arranging to visit Venice from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Lyon to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Edinburgh, Berlin, Lisbon, Budapest, Prague, Lyon, Venice].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Venice to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Edinburgh, Berlin, Lisbon, Budapest, Prague, Lyon, Venice, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Budapest.\n**Day 8-12:** Visit Budapest for 5 days.\n**Day 12:** Fly from Budapest to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Venice.\n**Day 18-19:** Visit Venice for 2 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-22:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Hamburg**Warsaw**Vilnius**Athens**Santorini**Amsterdam**Florence",
    "ground_truth_durations": "3**3**5**3**3**2**3**4",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Athens"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You plan to stay in Athens for 3 days. You would like to visit Florence for 4 days. From day 16 to day 19, there is a annual show you want to attend in Florence. You want to spend 3 days in Split. You want to meet a friend in Split between day 1 and day 3. You want to spend 2 days in Santorini. You plan to stay in Amsterdam for 3 days. You plan to stay in Warsaw for 5 days. You plan to visit relatives in Warsaw between day 5 and day 9. You plan to stay in Vilnius for 3 days. You have to attend a workshop in Vilnius between day 9 and day 11.\n\nHere are the cities that have direct flights:\nHamburg and Athens, Santorini and Amsterdam, Athens and Santorini, Split and Hamburg, Split and Warsaw, Vilnius and Amsterdam, Warsaw and Athens, Split and Vilnius, Hamburg and Amsterdam, Split and Athens, Vilnius and Athens, Warsaw and Vilnius, Hamburg and Warsaw, Athens and Amsterdam, Split and Amsterdam, Amsterdam and Florence, Warsaw and Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You plan to stay in Athens for 3 days. You would like to visit Florence for 4 days. From day 16 to day 19, there is a annual show you want to attend in Florence. You want to spend 3 days in Split. You want to meet a friend in Split between day 1 and day 3. You want to spend 2 days in Santorini. You plan to stay in Amsterdam for 3 days. You plan to stay in Warsaw for 5 days. You plan to visit relatives in Warsaw between day 5 and day 9. You plan to stay in Vilnius for 3 days. You have to attend a workshop in Vilnius between day 9 and day 11.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Athens, from Santorini to Amsterdam, from Athens to Santorini, from Split to Hamburg, from Split to Warsaw, from Vilnius to Amsterdam, from Warsaw to Athens, from Split to Vilnius, from Hamburg to Amsterdam, from Split to Athens, from Vilnius to Athens, from Warsaw to Vilnius, from Hamburg to Warsaw, from Athens to Amsterdam, from Split to Amsterdam, from Amsterdam to Florence, from Warsaw to Amsterdam.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Warsaw.\n**Day 5-9:** Visit Warsaw for 5 days.\n**Day 9:** Fly from Warsaw to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Santorini.\n**Day 13-14:** Visit Santorini for 2 days.\n**Day 14:** Fly from Santorini to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Florence.\n**Day 16-19:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1102",
    "estimated_output_tokens": 2049,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n* City: Warsaw, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Fixed Schedule: Day 9 - 11.\n* City: Florence, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 9).\n |- The departure day of Split is Day 3. The arrival day of Warsaw is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Athens, Santorini, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 5 - 9).\n   |- The departure day of Hamburg is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Hamburg to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 11).\n     |- The departure day of Warsaw is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Hamburg, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 16 - 19).\n       |- The departure day of Vilnius is Day 11. The arrival day of Florence is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Hamburg, Warsaw, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Santorini, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Vilnius to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 16 - 19).\n         |- The departure day of Athens is Day 13. The arrival day of Florence is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Split, Hamburg, Warsaw, Vilnius, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Athens to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 16 - 19).\n           |- The departure day of Santorini is Day 14. The arrival day of Florence is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Split, Hamburg, Warsaw, Vilnius, Athens, Santorini].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Santorini to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 16 - 19).\n             |- The departure day of Amsterdam is Day 16. The arrival day of Florence is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Split, Hamburg, Warsaw, Vilnius, Athens, Santorini, Amsterdam].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Amsterdam to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Split, Hamburg, Warsaw, Vilnius, Athens, Santorini, Amsterdam, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Warsaw.\n**Day 5-9:** Visit Warsaw for 5 days.\n**Day 9:** Fly from Warsaw to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Santorini.\n**Day 13-14:** Visit Santorini for 2 days.\n**Day 14:** Fly from Santorini to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Florence.\n**Day 16-19:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Naples**Dubrovnik**Athens**Prague**Krakow**Munich**Hamburg",
    "ground_truth_durations": "3**3**4**4**4**2**3**5",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Munich"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Dubrovnik. You plan to stay in Munich for 3 days. You would like to visit Hamburg for 5 days. You would like to visit Prague for 4 days. You have to attend a workshop in Prague between day 11 and day 14. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 8 and day 11. You would like to visit Naples for 3 days. You want to spend 2 days in Krakow. You plan to stay in Berlin for 3 days. You plan to visit relatives in Berlin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nPrague and Munich, Berlin and Krakow, Athens and Munich, Prague and Krakow, Berlin and Munich, Berlin and Athens, Athens and Prague, Krakow and Munich, Naples and Athens, Munich and Hamburg, Naples and Dubrovnik, Dubrovnik and Athens, Athens and Hamburg, Berlin and Naples, Naples and Munich, Dubrovnik and Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Dubrovnik. You plan to stay in Munich for 3 days. You would like to visit Hamburg for 5 days. You would like to visit Prague for 4 days. You have to attend a workshop in Prague between day 11 and day 14. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 8 and day 11. You would like to visit Naples for 3 days. You want to spend 2 days in Krakow. You plan to stay in Berlin for 3 days. You plan to visit relatives in Berlin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Prague to Munich, from Berlin to Krakow, from Athens to Munich, from Prague to Krakow, from Berlin to Munich, from Berlin to Athens, from Athens to Prague, from Krakow to Munich, from Naples to Athens, from Munich to Hamburg, from Naples to Dubrovnik, from Dubrovnik to Athens, from Athens to Hamburg, from Berlin to Naples, from Naples to Munich, from Dubrovnik to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Naples.\n**Day 3-5:** Visit Naples for 3 days.\n**Day 5:** Fly from Naples to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Krakow.\n**Day 14-15:** Visit Krakow for 2 days.\n**Day 15:** Fly from Krakow to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.",
    "id": "trip_planning_example_1103",
    "estimated_output_tokens": 2994,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Naples, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n* City: Athens, Fixed Schedule: Day 8 - 11.\n* City: Prague, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Krakow, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 8 - 11).\n |- The departure day of Berlin is Day 3. The arrival day of Athens is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Munich, Hamburg, Naples, Krakow] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 8 - 11).\n   |- The departure day of Munich is Day 5. The arrival day of Athens is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Naples, Krakow] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 11).\n     |- The departure day of Hamburg is Day 9. The arrival day of Athens is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 8 - 11).\n   |- The departure day of Naples is Day 5. The arrival day of Athens is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Munich, Hamburg, Krakow] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Naples to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 11).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Athens is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Naples, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 11 - 14).\n       |- The departure day of Athens is Day 11. The arrival day of Prague is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Naples, Dubrovnik, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Hamburg, Krakow] and explore these options in order.\n           |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague, Munich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Krakow] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Munich to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague, Munich, Hamburg].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Hamburg to Krakow.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Munich to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Prague to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Prague to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague, Krakow].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Hamburg] and explore these options in order.\n             |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Krakow to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague, Krakow, Munich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Munich to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Berlin, Naples, Dubrovnik, Athens, Prague, Krakow, Munich, Hamburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Naples.\n**Day 3-5:** Visit Naples for 3 days.\n**Day 5:** Fly from Naples to Dubrovnik.\n**Day 5-8:** Visit Dubrovnik for 4 days.\n**Day 8:** Fly from Dubrovnik to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Krakow.\n**Day 14-15:** Visit Krakow for 2 days.\n**Day 15:** Fly from Krakow to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Berlin**Athens**Naples**Paris**Seville**Rome**Lyon",
    "ground_truth_durations": "4**5**3**4**2**3**2**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Rome"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Athens",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You want to spend 2 days in Paris. You want to spend 5 days in Berlin. You would like to visit Krakow for 4 days. You have to attend a workshop in Krakow between day 1 and day 4. You would like to visit Rome for 2 days. You plan to visit relatives in Rome between day 16 and day 17. You plan to stay in Lyon for 4 days. From day 17 to day 20, there is a annual show you want to attend in Lyon. You would like to visit Naples for 4 days. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 8 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nSeville and Rome, Athens and Naples, Paris and Rome, Berlin and Athens, Berlin and Rome, Rome and Lyon, Naples and Rome, Athens and Paris, Paris and Seville, Naples and Paris, Paris and Lyon, Berlin and Paris, Krakow and Paris, Krakow and Berlin, Berlin and Naples, Athens and Rome.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You want to spend 2 days in Paris. You want to spend 5 days in Berlin. You would like to visit Krakow for 4 days. You have to attend a workshop in Krakow between day 1 and day 4. You would like to visit Rome for 2 days. You plan to visit relatives in Rome between day 16 and day 17. You plan to stay in Lyon for 4 days. From day 17 to day 20, there is a annual show you want to attend in Lyon. You would like to visit Naples for 4 days. You want to spend 3 days in Athens. You would like to meet your friends at Athens between day 8 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nfrom Seville to Rome, from Athens to Naples, from Paris to Rome, from Berlin to Athens, from Berlin to Rome, from Rome to Lyon, from Naples to Rome, from Athens to Paris, from Paris to Seville, from Naples to Paris, from Paris to Lyon, from Berlin to Paris, from Krakow to Paris, from Krakow to Berlin, from Berlin to Naples, from Athens to Rome.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Berlin.\n**Day 4-8:** Visit Berlin for 5 days.\n**Day 8:** Fly from Berlin to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Seville.\n**Day 14-16:** Visit Seville for 3 days.\n**Day 16:** Fly from Seville to Rome.\n**Day 16-17:** Visit Rome for 2 days.\n**Day 17:** Fly from Rome to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_1104",
    "estimated_output_tokens": 3305,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Naples, Duration: 4 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n* City: Athens, Fixed Schedule: Day 8 - 10.\n* City: Rome, Fixed Schedule: Day 16 - 17.\n* City: Lyon, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 8 - 10).\n |- The departure day of Krakow is Day 4. The arrival day of Athens is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Berlin, Naples] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Krakow to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 8 - 10).\n   |- The departure day of Paris is Day 5. The arrival day of Athens is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Paris].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Berlin, Naples] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 10).\n     |- The departure day of Seville is Day 7. The arrival day of Athens is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Paris, Seville].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Naples] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Seville to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Seville to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Paris to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Paris to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 8 - 10).\n   |- The departure day of Berlin is Day 8. The arrival day of Athens is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Berlin to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 16 - 17).\n     |- The departure day of Athens is Day 10. The arrival day of Rome is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Berlin, Athens].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Naples] and explore these options in order.\n       |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Athens to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Athens to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Rome (Day 16 - 17).\n       |- The departure day of Paris is Day 11. The arrival day of Rome is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Berlin, Athens, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Naples] and explore these options in order.\n         |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 16 - 17).\n         |- The departure day of Seville is Day 13. The arrival day of Rome is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Berlin, Athens, Paris, Seville].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n           |- Try arranging to visit Naples from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Seville to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Paris to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Athens to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Rome (Day 16 - 17).\n       |- The departure day of Naples is Day 13. The arrival day of Rome is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Berlin, Athens, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Paris] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Naples to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Rome (Day 16 - 17).\n         |- The departure day of Paris is Day 14. The arrival day of Rome is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Krakow, Berlin, Athens, Naples, Paris].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n           |- Try arranging to visit Seville from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Paris to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Rome (Day 16 - 17).\n           |- The departure day of Seville is Day 16. The arrival day of Rome is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Berlin, Athens, Naples, Paris, Seville].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Rome.\n             |- Try arranging to visit Rome from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Seville to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lyon (Day 17 - 20).\n             |- The departure day of Rome is Day 17. The arrival day of Lyon is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Krakow, Berlin, Athens, Naples, Paris, Seville, Rome].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Rome to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Krakow, Berlin, Athens, Naples, Paris, Seville, Rome, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Berlin.\n**Day 4-8:** Visit Berlin for 5 days.\n**Day 8:** Fly from Berlin to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Naples.\n**Day 10-13:** Visit Naples for 4 days.\n**Day 13:** Fly from Naples to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Seville.\n**Day 14-16:** Visit Seville for 3 days.\n**Day 16:** Fly from Seville to Rome.\n**Day 16-17:** Visit Rome for 2 days.\n**Day 17:** Fly from Rome to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Prague**Valencia**Seville**Rome**Naples**Frankfurt**Tallinn",
    "ground_truth_durations": "4**4**3**2**2**2**4**4",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Rome",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 4 days. You would like to visit Florence for 4 days. You want to meet a friend in Florence between day 1 and day 4. You want to spend 3 days in Valencia. You are going to attend a wedding in Valencia between day 7 and day 9. You plan to stay in Naples for 2 days. You would like to visit Rome for 2 days. You would like to visit Frankfurt for 4 days. You plan to stay in Seville for 2 days. You would like to visit Prague for 4 days.\n\nHere are the cities that have direct flights:\nPrague and Frankfurt, Valencia and Frankfurt, Frankfurt and Tallinn, Prague and Rome, Florence and Prague, Valencia and Rome, Prague and Tallinn, Valencia and Seville, Rome and Naples, Seville and Rome, Prague and Valencia, Naples and Frankfurt, Florence and Frankfurt, Valencia and Naples, Rome and Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 4 days. You would like to visit Florence for 4 days. You want to meet a friend in Florence between day 1 and day 4. You want to spend 3 days in Valencia. You are going to attend a wedding in Valencia between day 7 and day 9. You plan to stay in Naples for 2 days. You would like to visit Rome for 2 days. You would like to visit Frankfurt for 4 days. You plan to stay in Seville for 2 days. You would like to visit Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Frankfurt, from Valencia to Frankfurt, from Frankfurt to Tallinn, from Prague to Rome, from Florence to Prague, from Valencia to Rome, from Prague to Tallinn, from Valencia to Seville, from Rome to Naples, from Seville to Rome, from Prague to Valencia, from Naples to Frankfurt, from Florence to Frankfurt, from Valencia to Naples, from Rome to Frankfurt.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.\n**Day 9:** Fly from Valencia to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Rome.\n**Day 10-11:** Visit Rome for 2 days.\n**Day 11:** Fly from Rome to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1105",
    "estimated_output_tokens": 5620,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Naples, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 9).\n |- The departure day of Florence is Day 4. The arrival day of Valencia is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Rome, Frankfurt, Seville, Prague] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 7 - 9).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 7 - 9).\n   |- The departure day of Prague is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Prague, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Rome, Frankfurt, Seville] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Valencia to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Prague, Valencia, Naples].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Rome, Frankfurt, Seville] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Naples to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Naples to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Naples to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Prague, Valencia, Naples, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Rome, Seville] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Frankfurt to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Florence, Prague, Valencia, Naples, Frankfurt, Tallinn].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Seville] and explore these options in order.\n             |- Try arranging to visit Rome from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Tallinn to Rome.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Tallinn to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Rome from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Rome.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Naples to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Rome from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Prague, Valencia, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Frankfurt, Seville] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Rome to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Rome to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Prague, Valencia, Rome, Naples].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt, Seville] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Naples to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Naples to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Prague, Valencia, Rome, Naples, Frankfurt].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Seville] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Frankfurt to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Florence, Prague, Valencia, Rome, Naples, Frankfurt, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Tallinn to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Frankfurt to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Naples to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Rome to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Prague, Valencia, Rome, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Seville] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Frankfurt to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Florence, Prague, Valencia, Rome, Frankfurt, Tallinn].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Seville] and explore these options in order.\n             |- Try arranging to visit Naples from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Tallinn to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Tallinn to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Rome to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Valencia to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Prague, Valencia, Frankfurt].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Rome, Seville] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Florence, Prague, Valencia, Frankfurt, Tallinn].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Rome, Seville] and explore these options in order.\n           |- Try arranging to visit Naples from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Tallinn to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Tallinn to Rome.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Tallinn to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Frankfurt to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Frankfurt to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Frankfurt to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Valencia to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Prague, Valencia, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Rome, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Seville to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Seville to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Seville to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Prague, Valencia, Seville, Rome].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Rome to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Rome to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Florence, Prague, Valencia, Seville, Rome, Naples].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Naples to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Naples to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Florence, Prague, Valencia, Seville, Rome, Naples, Frankfurt].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Frankfurt to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Florence, Prague, Valencia, Seville, Rome, Naples, Frankfurt, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Valencia.\n**Day 7-9:** Visit Valencia for 3 days.\n**Day 9:** Fly from Valencia to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Rome.\n**Day 10-11:** Visit Rome for 2 days.\n**Day 11:** Fly from Rome to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Frankfurt.\n**Day 12-15:** Visit Frankfurt for 4 days.\n**Day 15:** Fly from Frankfurt to Tallinn.\n**Day 15-18:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Venice**London**Berlin**Budapest**Milan**Lisbon**Florence",
    "ground_truth_durations": "5**2**4**4**5**2**2**5",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Milan"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "London",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 5 days. You want to spend 5 days in Oslo. You would like to visit London for 4 days. You plan to visit relatives in London between day 6 and day 9. You plan to stay in Venice for 2 days. You would like to meet your friends at Venice between day 5 and day 6 to tour together. You would like to visit Lisbon for 2 days. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 16 and day 17. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 9 and day 12. You would like to visit Florence for 5 days.\n\nHere are the cities that have direct flights:\nLondon and Milan, Oslo and London, Oslo and Venice, London and Lisbon, Venice and Berlin, Venice and Lisbon, Venice and London, London and Budapest, Berlin and Lisbon, Budapest and Milan, London and Berlin, Oslo and Budapest, Milan and Lisbon, Berlin and Milan, Berlin and Budapest, Oslo and Milan, Lisbon and Florence, Oslo and Lisbon, Oslo and Berlin, Budapest and Lisbon, London and Florence.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 5 days. You want to spend 5 days in Oslo. You would like to visit London for 4 days. You plan to visit relatives in London between day 6 and day 9. You plan to stay in Venice for 2 days. You would like to meet your friends at Venice between day 5 and day 6 to tour together. You would like to visit Lisbon for 2 days. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 16 and day 17. You plan to stay in Berlin for 4 days. You want to meet a friend in Berlin between day 9 and day 12. You would like to visit Florence for 5 days.\n\nHere are the cities that have direct flights:\nfrom London to Milan, from Oslo to London, from Oslo to Venice, from London to Lisbon, from Venice to Berlin, from Venice to Lisbon, from Venice to London, from London to Budapest, from Berlin to Lisbon, from Budapest to Milan, from London to Berlin, from Oslo to Budapest, from Milan to Lisbon, from Berlin to Milan, from Berlin to Budapest, from Oslo to Milan, from Lisbon to Florence, from Oslo to Lisbon, from Oslo to Berlin, from Budapest to Lisbon, from London to Florence.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Venice.\n**Day 5-6:** Visit Venice for 2 days.\n**Day 6:** Fly from Venice to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Budapest.\n**Day 12-16:** Visit Budapest for 5 days.\n**Day 16:** Fly from Budapest to Milan.\n**Day 16-17:** Visit Milan for 2 days.\n**Day 17:** Fly from Milan to Lisbon.\n**Day 17-18:** Visit Lisbon for 2 days.\n**Day 18:** Fly from Lisbon to Florence.\n**Day 18-22:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1106",
    "estimated_output_tokens": 2169,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Lisbon, Duration: 2 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Florence, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 6.\n* City: London, Fixed Schedule: Day 6 - 9.\n* City: Berlin, Fixed Schedule: Day 9 - 12.\n* City: Milan, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Budapest, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Oslo, Lisbon, Florence] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 6).\n |- The departure day of Budapest is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Budapest to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 6).\n |- The departure day of Oslo is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: London (Day 6 - 9).\n   |- The departure day of Venice is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n     |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Venice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 9 - 12).\n     |- The departure day of London is Day 9. The arrival day of Berlin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Venice, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from London to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 16 - 17).\n       |- The departure day of Berlin is Day 12. The arrival day of Milan is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Oslo, Venice, London, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Lisbon, Florence] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 16 - 17).\n         |- The departure day of Budapest is Day 16. The arrival day of Milan is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Oslo, Venice, London, Berlin, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Budapest to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Oslo, Venice, London, Berlin, Budapest, Milan].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Milan to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Venice, London, Berlin, Budapest, Milan, Lisbon].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Lisbon to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Oslo, Venice, London, Berlin, Budapest, Milan, Lisbon, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Venice.\n**Day 5-6:** Visit Venice for 2 days.\n**Day 6:** Fly from Venice to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Berlin.\n**Day 9-12:** Visit Berlin for 4 days.\n**Day 12:** Fly from Berlin to Budapest.\n**Day 12-16:** Visit Budapest for 5 days.\n**Day 16:** Fly from Budapest to Milan.\n**Day 16-17:** Visit Milan for 2 days.\n**Day 17:** Fly from Milan to Lisbon.\n**Day 17-18:** Visit Lisbon for 2 days.\n**Day 18:** Fly from Lisbon to Florence.\n**Day 18-22:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Reykjavik**Dublin**Dubrovnik**Barcelona**Zurich**Tallinn**Vilnius",
    "ground_truth_durations": "5**5**4**4**2**2**2**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Warsaw",
        "Barcelona"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Zurich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Barcelona. You are going to attend a wedding in Barcelona between day 15 and day 16. You want to spend 4 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 12 and day 15 to tour together. You want to spend 5 days in Warsaw. You want to spend 2 days in Zurich. During day 16 and day 17, you have to attend a conference in Zurich. You would like to visit Vilnius for 2 days. You plan to visit relatives in Vilnius between day 18 and day 19. You would like to visit Tallinn for 2 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Zurich, Dubrovnik and Zurich, Reykjavik and Zurich, Warsaw and Barcelona, Dublin and Zurich, Warsaw and Vilnius, Dubrovnik and Barcelona, Barcelona and Tallinn, from Tallinn to Vilnius, Warsaw and Tallinn, Warsaw and Reykjavik, Dublin and Tallinn, Reykjavik and Barcelona, Dublin and Dubrovnik, Dublin and Barcelona, Barcelona and Zurich, Reykjavik and Dublin, Zurich and Vilnius, Zurich and Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Barcelona. You are going to attend a wedding in Barcelona between day 15 and day 16. You want to spend 4 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 12 and day 15 to tour together. You want to spend 5 days in Warsaw. You want to spend 2 days in Zurich. During day 16 and day 17, you have to attend a conference in Zurich. You would like to visit Vilnius for 2 days. You plan to visit relatives in Vilnius between day 18 and day 19. You would like to visit Tallinn for 2 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Zurich, from Dubrovnik to Zurich, from Reykjavik to Zurich, from Warsaw to Barcelona, from Dublin to Zurich, from Warsaw to Vilnius, from Dubrovnik to Barcelona, from Barcelona to Tallinn, from Tallinn to Vilnius, from Warsaw to Tallinn, from Warsaw to Reykjavik, from Dublin to Tallinn, from Reykjavik to Barcelona, from Dublin to Dubrovnik, from Dublin to Barcelona, from Barcelona to Zurich, from Reykjavik to Dublin, from Zurich to Vilnius, from Zurich to Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Barcelona.\n**Day 15-16:** Visit Barcelona for 2 days.\n**Day 16:** Fly from Barcelona to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1107",
    "estimated_output_tokens": 2498,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Warsaw, Duration: 5 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Tallinn, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 12 - 15.\n* City: Barcelona, Fixed Schedule: Day 15 - 16.\n* City: Zurich, Fixed Schedule: Day 16 - 17.\n* City: Vilnius, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Reykjavik, Dublin] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 15).\n |- The departure day of Warsaw is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Reykjavik, Dublin] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Warsaw to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 15).\n   |- The departure day of Tallinn is Day 6. The arrival day of Dubrovnik is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Tallinn].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Dublin] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Tallinn to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Tallinn to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 15).\n   |- The departure day of Reykjavik is Day 9. The arrival day of Dubrovnik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Warsaw, Reykjavik].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Dublin] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Reykjavik to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Reykjavik to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 12 - 15).\n     |- The departure day of Dublin is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Warsaw, Reykjavik, Dublin].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Dublin to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Barcelona (Day 15 - 16).\n       |- The departure day of Dubrovnik is Day 15. The arrival day of Barcelona is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Reykjavik, Dublin, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Dubrovnik to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Zurich (Day 16 - 17).\n         |- The departure day of Barcelona is Day 16. The arrival day of Zurich is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Reykjavik, Dublin, Dubrovnik, Barcelona].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Zurich.\n           |- Try arranging to visit Zurich from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Barcelona to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 18 - 19).\n           |- The departure day of Zurich is Day 17. The arrival day of Vilnius is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Reykjavik, Dublin, Dubrovnik, Barcelona, Zurich].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Zurich to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 18 - 19).\n             |- The departure day of Tallinn is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Warsaw, Reykjavik, Dublin, Dubrovnik, Barcelona, Zurich, Tallinn].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Tallinn to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Warsaw, Reykjavik, Dublin, Dubrovnik, Barcelona, Zurich, Tallinn, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Reykjavik.\n**Day 5-9:** Visit Reykjavik for 5 days.\n**Day 9:** Fly from Reykjavik to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Barcelona.\n**Day 15-16:** Visit Barcelona for 2 days.\n**Day 16:** Fly from Barcelona to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Tallinn.\n**Day 17-18:** Visit Tallinn for 2 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lisbon**Geneva**Dubrovnik**Dublin**Seville**Rome**Mykonos",
    "ground_truth_durations": "4**4**4**5**2**3**2**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Rome"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Dublin",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dublin. You would like to meet your friends at Dublin between day 14 and day 15 to tour together. You would like to visit Valencia for 4 days. During day 1 and day 4, you have to attend a conference in Valencia. You plan to stay in Dubrovnik for 5 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 7 and day 10. You plan to stay in Rome for 2 days. You plan to stay in Mykonos for 2 days. You plan to stay in Seville for 3 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nValencia and Rome, Valencia and Seville, Geneva and Rome, Lisbon and Dublin, Valencia and Dublin, Dublin and Rome, Geneva and Dublin, Dubrovnik and Dublin, Geneva and Mykonos, Dubrovnik and Rome, Seville and Rome, Geneva and Dubrovnik, Lisbon and Rome, Valencia and Lisbon, Rome and Mykonos, Lisbon and Seville, Valencia and Geneva, Lisbon and Geneva, Dublin and Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Dublin. You would like to meet your friends at Dublin between day 14 and day 15 to tour together. You would like to visit Valencia for 4 days. During day 1 and day 4, you have to attend a conference in Valencia. You plan to stay in Dubrovnik for 5 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 7 and day 10. You plan to stay in Rome for 2 days. You plan to stay in Mykonos for 2 days. You plan to stay in Seville for 3 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Rome, from Valencia to Seville, from Geneva to Rome, from Lisbon to Dublin, from Valencia to Dublin, from Dublin to Rome, from Geneva to Dublin, from Dubrovnik to Dublin, from Geneva to Mykonos, from Dubrovnik to Rome, from Seville to Rome, from Geneva to Dubrovnik, from Lisbon to Rome, from Valencia to Lisbon, from Rome to Mykonos, from Lisbon to Seville, from Valencia to Geneva, from Lisbon to Geneva, from Dublin to Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Geneva.\n**Day 7-10:** Visit Geneva for 4 days.\n**Day 10:** Fly from Geneva to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-17:** Visit Seville for 3 days.\n**Day 17:** Fly from Seville to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1108",
    "estimated_output_tokens": 3923,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Duration: 5 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Rome, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 4.\n* City: Geneva, Fixed Schedule: Day 7 - 10.\n* City: Dublin, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 7 - 10).\n |- The departure day of Valencia is Day 4. The arrival day of Geneva is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Mykonos, Seville, Lisbon] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 7 - 10).\n   |- The departure day of Rome is Day 5. The arrival day of Geneva is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Mykonos, Seville, Lisbon] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Rome to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 7 - 10).\n     |- The departure day of Mykonos is Day 6. The arrival day of Geneva is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Rome, Mykonos].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Seville, Lisbon] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Mykonos to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Mykonos to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Mykonos to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 7 - 10).\n   |- The departure day of Seville is Day 6. The arrival day of Geneva is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Mykonos, Lisbon] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 7 - 10).\n     |- The departure day of Rome is Day 7. The arrival day of Geneva is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Seville, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 7 - 10).\n   |- The departure day of Lisbon is Day 7. The arrival day of Geneva is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 14 - 15).\n     |- The departure day of Geneva is Day 10. The arrival day of Dublin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Valencia, Lisbon, Geneva].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Mykonos, Seville] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Geneva to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 14 - 15).\n       |- The departure day of Dubrovnik is Day 14. The arrival day of Dublin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Dubrovnik to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos, Seville] and explore these options in order.\n           |- Try arranging to visit Rome from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Dublin to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin, Rome].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Seville] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Rome to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin, Rome, Mykonos].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Mykonos to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Rome to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Dublin to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Dublin to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin, Seville].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos] and explore these options in order.\n             |- Try arranging to visit Rome from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Seville to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin, Seville, Rome].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Rome to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Valencia, Lisbon, Geneva, Dubrovnik, Dublin, Seville, Rome, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Geneva.\n**Day 7-10:** Visit Geneva for 4 days.\n**Day 10:** Fly from Geneva to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-17:** Visit Seville for 3 days.\n**Day 17:** Fly from Seville to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Mykonos.\n**Day 18-19:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Budapest**Copenhagen**Riga**Hamburg**Split**Geneva",
    "ground_truth_durations": "3**2**3**4**3**4**3**4",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Budapest"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Hamburg",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You want to meet a friend in Budapest between day 4 and day 6. You would like to visit Split for 3 days. During day 14 and day 16, you have to attend a conference in Split. You would like to visit Riga for 3 days. You want to spend 3 days in Seville. You want to spend 4 days in Geneva. You plan to stay in Hamburg for 4 days. You plan to stay in Rome for 2 days. You want to spend 4 days in Copenhagen.\n\nHere are the cities that have direct flights:\nRome and Budapest, Budapest and Geneva, Copenhagen and Geneva, Rome and Copenhagen, Budapest and Hamburg, Copenhagen and Split, Rome and Geneva, from Rome to Riga, Rome and Hamburg, Copenhagen and Hamburg, Budapest and Copenhagen, Split and Geneva, Copenhagen and Riga, Rome and Split, Seville and Rome, from Riga to Hamburg, from Hamburg to Geneva, Hamburg and Split.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You want to meet a friend in Budapest between day 4 and day 6. You would like to visit Split for 3 days. During day 14 and day 16, you have to attend a conference in Split. You would like to visit Riga for 3 days. You want to spend 3 days in Seville. You want to spend 4 days in Geneva. You plan to stay in Hamburg for 4 days. You plan to stay in Rome for 2 days. You want to spend 4 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Rome to Budapest, from Budapest to Geneva, from Copenhagen to Geneva, from Rome to Copenhagen, from Budapest to Hamburg, from Copenhagen to Split, from Rome to Geneva, from Rome to Riga, from Rome to Hamburg, from Copenhagen to Hamburg, from Budapest to Copenhagen, from Split to Geneva, from Copenhagen to Riga, from Rome to Split, from Seville to Rome, from Riga to Hamburg, from Hamburg to Geneva, from Hamburg to Split.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Budapest.\n**Day 4-6:** Visit Budapest for 3 days.\n**Day 6:** Fly from Budapest to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.\n**Day 16:** Fly from Split to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.",
    "id": "trip_planning_example_1109",
    "estimated_output_tokens": 3699,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Riga, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Rome, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 4 - 6.\n* City: Split, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Rome, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Seville, Geneva, Hamburg, Rome, Copenhagen] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 6).\n |- The departure day of Riga is Day 3. The arrival day of Budapest is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Geneva, Hamburg, Rome, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 4 - 6).\n   |- The departure day of Hamburg is Day 6. The arrival day of Budapest is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 6).\n |- The departure day of Seville is Day 3. The arrival day of Budapest is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Hamburg, Rome, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 4 - 6).\n   |- The departure day of Rome is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 14 - 16).\n     |- The departure day of Budapest is Day 6. The arrival day of Split is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Seville, Rome, Budapest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Hamburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Budapest to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Budapest to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 14 - 16).\n       |- The departure day of Geneva is Day 9. The arrival day of Split is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Seville, Rome, Budapest, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Hamburg, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Geneva to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Geneva to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Geneva to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Budapest to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 14 - 16).\n       |- The departure day of Hamburg is Day 9. The arrival day of Split is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Seville, Rome, Budapest, Hamburg].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Hamburg to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Hamburg to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 14 - 16).\n         |- The departure day of Geneva is Day 12. The arrival day of Split is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Seville, Rome, Budapest, Hamburg, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Geneva to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Geneva to Copenhagen.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Hamburg to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Budapest to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 14 - 16).\n       |- The departure day of Copenhagen is Day 9. The arrival day of Split is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Seville, Rome, Budapest, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Hamburg] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Copenhagen to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 14 - 16).\n         |- The departure day of Riga is Day 11. The arrival day of Split is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Seville, Rome, Budapest, Copenhagen, Riga].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Riga to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Riga to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 14 - 16).\n           |- The departure day of Hamburg is Day 14. The arrival day of Split is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Seville, Rome, Budapest, Copenhagen, Riga, Hamburg].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Split.\n             |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Hamburg to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Seville, Rome, Budapest, Copenhagen, Riga, Hamburg, Split].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Split to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Seville, Rome, Budapest, Copenhagen, Riga, Hamburg, Split, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Budapest.\n**Day 4-6:** Visit Budapest for 3 days.\n**Day 6:** Fly from Budapest to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Split.\n**Day 14-16:** Visit Split for 3 days.\n**Day 16:** Fly from Split to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Lisbon**Munich**Krakow**Brussels**Reykjavik**Dublin**Santorini",
    "ground_truth_durations": "5**3**5**5**5**2**4**3",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Brussels",
        "Dublin"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Munich",
        "Dublin"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Munich",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 5 days. From day 15 to day 19, there is a annual show you want to attend in Brussels. You would like to visit Munich for 5 days. You have to attend a workshop in Munich between day 7 and day 11. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 1 and day 5. You would like to visit Santorini for 3 days. You want to spend 4 days in Dublin. You would like to visit Lisbon for 3 days. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Krakow. You are going to attend a wedding in Krakow between day 11 and day 15.\n\nHere are the cities that have direct flights:\nGeneva and Dublin, Lisbon and Krakow, Lisbon and Reykjavik, Geneva and Brussels, Reykjavik and Dublin, Brussels and Dublin, Geneva and Munich, Lisbon and Munich, Dublin and Santorini, Krakow and Dublin, Munich and Dublin, Munich and Krakow, Lisbon and Brussels, Geneva and Santorini, Krakow and Brussels, Brussels and Reykjavik, Lisbon and Dublin, Geneva and Lisbon, Munich and Brussels, Munich and Reykjavik.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 5 days. From day 15 to day 19, there is a annual show you want to attend in Brussels. You would like to visit Munich for 5 days. You have to attend a workshop in Munich between day 7 and day 11. You would like to visit Geneva for 5 days. You plan to visit relatives in Geneva between day 1 and day 5. You would like to visit Santorini for 3 days. You want to spend 4 days in Dublin. You would like to visit Lisbon for 3 days. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Krakow. You are going to attend a wedding in Krakow between day 11 and day 15.\n\nHere are the cities that have direct flights:\nfrom Geneva to Dublin, from Lisbon to Krakow, from Lisbon to Reykjavik, from Geneva to Brussels, from Reykjavik to Dublin, from Brussels to Dublin, from Geneva to Munich, from Lisbon to Munich, from Dublin to Santorini, from Krakow to Dublin, from Munich to Dublin, from Munich to Krakow, from Lisbon to Brussels, from Geneva to Santorini, from Krakow to Brussels, from Brussels to Reykjavik, from Lisbon to Dublin, from Geneva to Lisbon, from Munich to Brussels, from Munich to Reykjavik.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.\n**Day 20:** Fly from Reykjavik to Dublin.\n**Day 20-23:** Visit Dublin for 4 days.\n**Day 23:** Fly from Dublin to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1110",
    "estimated_output_tokens": 2914,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Duration: 3 days.\n* City: Dublin, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 5.\n* City: Munich, Fixed Schedule: Day 7 - 11.\n* City: Krakow, Fixed Schedule: Day 11 - 15.\n* City: Brussels, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Dublin, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 7 - 11).\n |- The departure day of Geneva is Day 5. The arrival day of Munich is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin, Lisbon, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 7 - 11).\n   |- The departure day of Santorini is Day 7. The arrival day of Munich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Santorini to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Geneva to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 7 - 11).\n   |- The departure day of Dublin is Day 8. The arrival day of Munich is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 7 - 11).\n   |- The departure day of Lisbon is Day 7. The arrival day of Munich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 11 - 15).\n     |- The departure day of Munich is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Geneva, Lisbon, Munich].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Munich to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Brussels (Day 15 - 19).\n       |- The departure day of Krakow is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Geneva, Lisbon, Munich, Krakow].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Krakow to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Brussels to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Brussels to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels, Dublin].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Dublin to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels, Dublin, Santorini].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Santorini to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Dublin to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Brussels to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels, Reykjavik].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Reykjavik to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dublin from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Reykjavik to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels, Reykjavik, Dublin].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Dublin to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Geneva, Lisbon, Munich, Krakow, Brussels, Reykjavik, Dublin, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Munich.\n**Day 7-11:** Visit Munich for 5 days.\n**Day 11:** Fly from Munich to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.\n**Day 20:** Fly from Reykjavik to Dublin.\n**Day 20-23:** Visit Dublin for 4 days.\n**Day 23:** Fly from Dublin to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Rome**Valencia**Prague**Helsinki**Reykjavik**Athens**Venice",
    "ground_truth_durations": "4**5**4**2**5**5**3**3",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Rome",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to visit Stuttgart for 4 days. You have to attend a workshop in Stuttgart between day 1 and day 4. You plan to stay in Venice for 3 days. You plan to stay in Helsinki for 5 days. You plan to visit relatives in Helsinki between day 12 and day 16. You plan to stay in Reykjavik for 5 days. You would like to visit Rome for 5 days. You want to spend 2 days in Prague. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 8 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nPrague and Reykjavik, Rome and Athens, Prague and Helsinki, Rome and Reykjavik, Helsinki and Reykjavik, Athens and Venice, Prague and Athens, from Valencia to Athens, Rome and Helsinki, from Reykjavik to Athens, Helsinki and Venice, Stuttgart and Rome, Stuttgart and Venice, Rome and Valencia, Valencia and Prague, Rome and Venice, from Reykjavik to Stuttgart, Stuttgart and Athens, Stuttgart and Valencia, Rome and Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to visit Stuttgart for 4 days. You have to attend a workshop in Stuttgart between day 1 and day 4. You plan to stay in Venice for 3 days. You plan to stay in Helsinki for 5 days. You plan to visit relatives in Helsinki between day 12 and day 16. You plan to stay in Reykjavik for 5 days. You would like to visit Rome for 5 days. You want to spend 2 days in Prague. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 8 and day 11 to tour together.\n\nHere are the cities that have direct flights:\nfrom Prague to Reykjavik, from Rome to Athens, from Prague to Helsinki, from Rome to Reykjavik, from Helsinki to Reykjavik, from Athens to Venice, from Prague to Athens, from Valencia to Athens, from Rome to Helsinki, from Reykjavik to Athens, from Helsinki to Venice, from Stuttgart to Rome, from Stuttgart to Venice, from Rome to Valencia, from Valencia to Prague, from Rome to Venice, from Reykjavik to Stuttgart, from Stuttgart to Athens, from Stuttgart to Valencia, from Rome to Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Helsinki.\n**Day 12-16:** Visit Helsinki for 5 days.\n**Day 16:** Fly from Helsinki to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.\n**Day 20:** Fly from Reykjavik to Athens.\n**Day 20-22:** Visit Athens for 3 days.\n**Day 22:** Fly from Athens to Venice.\n**Day 22-24:** Visit Venice for 3 days.",
    "id": "trip_planning_example_1111",
    "estimated_output_tokens": 3529,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Venice, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Reykjavik, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Fixed Schedule: Day 8 - 11.\n* City: Helsinki, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 11).\n |- The departure day of Stuttgart is Day 4. The arrival day of Valencia is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Reykjavik, Rome, Prague] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 8 - 11).\n   |- The departure day of Athens is Day 6. The arrival day of Valencia is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Rome, Prague] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Athens to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 8 - 11).\n     |- The departure day of Venice is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Athens, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Athens to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 8 - 11).\n   |- The departure day of Venice is Day 6. The arrival day of Valencia is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik, Rome, Prague] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 8 - 11).\n   |- The departure day of Rome is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 12 - 16).\n     |- The departure day of Valencia is Day 11. The arrival day of Helsinki is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Rome, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Reykjavik, Prague] and explore these options in order.\n       |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 12 - 16).\n       |- The departure day of Athens is Day 13. The arrival day of Helsinki is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Valencia to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 12 - 16).\n       |- The departure day of Prague is Day 12. The arrival day of Helsinki is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stuttgart, Rome, Valencia, Prague].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Helsinki.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Prague to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stuttgart, Rome, Valencia, Prague, Helsinki].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Helsinki to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Helsinki to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stuttgart, Rome, Valencia, Prague, Helsinki, Venice].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Athens from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Venice to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Venice to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Helsinki to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Rome, Valencia, Prague, Helsinki, Reykjavik].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Venice] and explore these options in order.\n             |- Try arranging to visit Athens from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Reykjavik to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Stuttgart, Rome, Valencia, Prague, Helsinki, Reykjavik, Athens].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n               |- Try arranging to visit Venice from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Athens to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Stuttgart, Rome, Valencia, Prague, Helsinki, Reykjavik, Athens, Venice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-12:** Visit Prague for 2 days.\n**Day 12:** Fly from Prague to Helsinki.\n**Day 12-16:** Visit Helsinki for 5 days.\n**Day 16:** Fly from Helsinki to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.\n**Day 20:** Fly from Reykjavik to Athens.\n**Day 20-22:** Visit Athens for 3 days.\n**Day 22:** Fly from Athens to Venice.\n**Day 22-24:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Budapest**Rome**Riga**Nice**Reykjavik**Stuttgart**Venice",
    "ground_truth_durations": "2**2**3**3**5**2**3**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Rome"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Stuttgart",
        "Venice"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Nice",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You would like to visit Budapest for 2 days. You want to spend 3 days in Rome. You would like to visit Nice for 5 days. You would like to visit Reykjavik for 2 days. You plan to stay in Mykonos for 2 days. You would like to meet your friends at Mykonos between day 1 and day 2 to tour together. You want to spend 3 days in Riga. You want to meet a friend in Riga between day 5 and day 7. You would like to visit Venice for 2 days.\n\nHere are the cities that have direct flights:\nBudapest and Rome, Nice and Reykjavik, Rome and Nice, Riga and Nice, Rome and Reykjavik, from Rome to Riga, Stuttgart and Venice, Mykonos and Rome, Rome and Venice, Mykonos and Nice, Rome and Stuttgart, Mykonos and Budapest, from Reykjavik to Stuttgart, Budapest and Nice, Budapest and Stuttgart, Budapest and Reykjavik, Nice and Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You would like to visit Budapest for 2 days. You want to spend 3 days in Rome. You would like to visit Nice for 5 days. You would like to visit Reykjavik for 2 days. You plan to stay in Mykonos for 2 days. You would like to meet your friends at Mykonos between day 1 and day 2 to tour together. You want to spend 3 days in Riga. You want to meet a friend in Riga between day 5 and day 7. You would like to visit Venice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Rome, from Nice to Reykjavik, from Rome to Nice, from Riga to Nice, from Rome to Reykjavik, from Rome to Riga, from Stuttgart to Venice, from Mykonos to Rome, from Rome to Venice, from Mykonos to Nice, from Rome to Stuttgart, from Mykonos to Budapest, from Reykjavik to Stuttgart, from Budapest to Nice, from Budapest to Stuttgart, from Budapest to Reykjavik, from Nice to Venice.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Budapest.\n**Day 2-3:** Visit Budapest for 2 days.\n**Day 3:** Fly from Budapest to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Stuttgart.\n**Day 12-14:** Visit Stuttgart for 3 days.\n**Day 14:** Fly from Stuttgart to Venice.\n**Day 14-15:** Visit Venice for 2 days.",
    "id": "trip_planning_example_1112",
    "estimated_output_tokens": 2337,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Venice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 2.\n* City: Riga, Fixed Schedule: Day 5 - 7.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 7).\n |- The departure day of Mykonos is Day 2. The arrival day of Riga is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Budapest, Rome, Nice, Reykjavik, Venice] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 5 - 7).\n   |- The departure day of Budapest is Day 3. The arrival day of Riga is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Mykonos, Budapest].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Rome, Nice, Reykjavik, Venice] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Budapest to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 5 - 7).\n     |- The departure day of Stuttgart is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Mykonos, Budapest, Stuttgart].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stuttgart to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Budapest to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 5 - 7).\n     |- The departure day of Rome is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Mykonos, Budapest, Rome].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Rome to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Mykonos, Budapest, Rome, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Reykjavik, Venice] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Riga to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Mykonos, Budapest, Rome, Riga, Nice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Reykjavik, Venice] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Nice to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Mykonos, Budapest, Rome, Riga, Nice, Reykjavik].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Venice] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Reykjavik to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Mykonos, Budapest, Rome, Riga, Nice, Reykjavik, Stuttgart].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n               |- Try arranging to visit Venice from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Stuttgart to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Mykonos, Budapest, Rome, Riga, Nice, Reykjavik, Stuttgart, Venice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Budapest.\n**Day 2-3:** Visit Budapest for 2 days.\n**Day 3:** Fly from Budapest to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Stuttgart.\n**Day 12-14:** Visit Stuttgart for 3 days.\n**Day 14:** Fly from Stuttgart to Venice.\n**Day 14-15:** Visit Venice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Madrid**Munich**Lisbon**Warsaw**Tallinn**Copenhagen**Santorini",
    "ground_truth_durations": "2**2**3**2**4**3**3**4",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Vienna",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You plan to visit relatives in Lisbon between day 5 and day 6. You would like to visit Santorini for 4 days. During day 13 and day 16, you have to attend a conference in Santorini. You want to spend 4 days in Warsaw. You want to spend 2 days in Madrid. From day 2 to day 3, there is a annual show you want to attend in Madrid. You plan to stay in Munich for 3 days. You are going to attend a wedding in Munich between day 3 and day 5. You would like to visit Copenhagen for 3 days. You plan to stay in Vienna for 2 days. You want to spend 3 days in Tallinn.\n\nHere are the cities that have direct flights:\nTallinn and Copenhagen, Vienna and Munich, Lisbon and Copenhagen, Madrid and Munich, Copenhagen and Santorini, Warsaw and Tallinn, Munich and Tallinn, Munich and Copenhagen, Madrid and Warsaw, Madrid and Copenhagen, Munich and Lisbon, Vienna and Copenhagen, Vienna and Warsaw, Munich and Warsaw, Vienna and Lisbon, Madrid and Lisbon, Lisbon and Warsaw, Warsaw and Copenhagen, Vienna and Santorini, Madrid and Santorini, Vienna and Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 2 days. You plan to visit relatives in Lisbon between day 5 and day 6. You would like to visit Santorini for 4 days. During day 13 and day 16, you have to attend a conference in Santorini. You want to spend 4 days in Warsaw. You want to spend 2 days in Madrid. From day 2 to day 3, there is a annual show you want to attend in Madrid. You plan to stay in Munich for 3 days. You are going to attend a wedding in Munich between day 3 and day 5. You would like to visit Copenhagen for 3 days. You plan to stay in Vienna for 2 days. You want to spend 3 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Copenhagen, from Vienna to Munich, from Lisbon to Copenhagen, from Madrid to Munich, from Copenhagen to Santorini, from Warsaw to Tallinn, from Munich to Tallinn, from Munich to Copenhagen, from Madrid to Warsaw, from Madrid to Copenhagen, from Munich to Lisbon, from Vienna to Copenhagen, from Vienna to Warsaw, from Munich to Warsaw, from Vienna to Lisbon, from Madrid to Lisbon, from Lisbon to Warsaw, from Warsaw to Copenhagen, from Vienna to Santorini, from Madrid to Santorini, from Vienna to Madrid.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Warsaw.\n**Day 6-9:** Visit Warsaw for 4 days.\n**Day 9:** Fly from Warsaw to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1113",
    "estimated_output_tokens": 2526,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Warsaw, Duration: 4 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Copenhagen, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 2 - 3.\n* City: Munich, Fixed Schedule: Day 3 - 5.\n* City: Lisbon, Fixed Schedule: Day 5 - 6.\n* City: Santorini, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Copenhagen, Vienna, Tallinn] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 3).\n |- The departure day of Warsaw is Day 4. The arrival day of Madrid is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 3).\n |- The departure day of Copenhagen is Day 3. The arrival day of Madrid is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 3).\n |- The departure day of Vienna is Day 2. The arrival day of Madrid is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vienna to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Munich (Day 3 - 5).\n   |- The departure day of Madrid is Day 3. The arrival day of Munich is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vienna, Madrid].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Madrid to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 5 - 6).\n     |- The departure day of Munich is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Vienna, Madrid, Munich].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Munich to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 13 - 16).\n       |- The departure day of Lisbon is Day 6. The arrival day of Santorini is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Vienna, Madrid, Munich, Lisbon].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Copenhagen, Tallinn] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Lisbon to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 13 - 16).\n         |- The departure day of Warsaw is Day 9. The arrival day of Santorini is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Vienna, Madrid, Munich, Lisbon, Warsaw].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Warsaw to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 13 - 16).\n           |- The departure day of Copenhagen is Day 11. The arrival day of Santorini is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Vienna, Madrid, Munich, Lisbon, Warsaw, Copenhagen].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Copenhagen to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Warsaw to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 13 - 16).\n           |- The departure day of Tallinn is Day 11. The arrival day of Santorini is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Vienna, Madrid, Munich, Lisbon, Warsaw, Tallinn].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Tallinn to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 13 - 16).\n             |- The departure day of Copenhagen is Day 13. The arrival day of Santorini is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Vienna, Madrid, Munich, Lisbon, Warsaw, Tallinn, Copenhagen].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Santorini.\n               |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Copenhagen to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Vienna, Madrid, Munich, Lisbon, Warsaw, Tallinn, Copenhagen, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Madrid.\n**Day 2-3:** Visit Madrid for 2 days.\n**Day 3:** Fly from Madrid to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Warsaw.\n**Day 6-9:** Visit Warsaw for 4 days.\n**Day 9:** Fly from Warsaw to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Santorini.\n**Day 13-16:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Istanbul**Vienna**Warsaw**Nice**Lyon**Amsterdam**Santorini",
    "ground_truth_durations": "2**2**5**2**4**2**2**5",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Lyon"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Madrid",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to visit Warsaw for 2 days. You want to meet a friend in Warsaw between day 7 and day 8. You want to spend 2 days in Madrid. You have to attend a workshop in Madrid between day 1 and day 2. You would like to visit Amsterdam for 2 days. You want to spend 5 days in Santorini. You plan to stay in Lyon for 2 days. You want to spend 5 days in Vienna. You plan to visit relatives in Vienna between day 3 and day 7. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 2 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nNice and Lyon, Madrid and Nice, Madrid and Istanbul, Nice and Amsterdam, Lyon and Amsterdam, Amsterdam and Santorini, Warsaw and Nice, Madrid and Lyon, Istanbul and Warsaw, Istanbul and Amsterdam, Vienna and Santorini, Madrid and Warsaw, Vienna and Amsterdam, Istanbul and Lyon, Vienna and Nice, Vienna and Warsaw, Madrid and Amsterdam, Madrid and Vienna, Warsaw and Amsterdam, Istanbul and Nice, Vienna and Lyon, Istanbul and Vienna, Madrid and Santorini.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to visit Warsaw for 2 days. You want to meet a friend in Warsaw between day 7 and day 8. You want to spend 2 days in Madrid. You have to attend a workshop in Madrid between day 1 and day 2. You would like to visit Amsterdam for 2 days. You want to spend 5 days in Santorini. You plan to stay in Lyon for 2 days. You want to spend 5 days in Vienna. You plan to visit relatives in Vienna between day 3 and day 7. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 2 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nfrom Nice to Lyon, from Madrid to Nice, from Madrid to Istanbul, from Nice to Amsterdam, from Lyon to Amsterdam, from Amsterdam to Santorini, from Warsaw to Nice, from Madrid to Lyon, from Istanbul to Warsaw, from Istanbul to Amsterdam, from Vienna to Santorini, from Madrid to Warsaw, from Vienna to Amsterdam, from Istanbul to Lyon, from Vienna to Nice, from Vienna to Warsaw, from Madrid to Amsterdam, from Madrid to Vienna, from Warsaw to Amsterdam, from Istanbul to Nice, from Vienna to Lyon, from Istanbul to Vienna, from Madrid to Santorini.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Warsaw.\n**Day 7-8:** Visit Warsaw for 2 days.\n**Day 8:** Fly from Warsaw to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Lyon.\n**Day 11-12:** Visit Lyon for 2 days.\n**Day 12:** Fly from Lyon to Amsterdam.\n**Day 12-13:** Visit Amsterdam for 2 days.\n**Day 13:** Fly from Amsterdam to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1114",
    "estimated_output_tokens": 2381,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Fixed Schedule: Day 2 - 3.\n* City: Vienna, Fixed Schedule: Day 3 - 7.\n* City: Warsaw, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Nice, Duration: 4 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 3).\n |- The departure day of Madrid is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vienna (Day 3 - 7).\n   |- The departure day of Istanbul is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Madrid, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Istanbul to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 7 - 8).\n     |- The departure day of Vienna is Day 7. The arrival day of Warsaw is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Istanbul, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Vienna to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Madrid, Istanbul, Vienna, Warsaw].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Amsterdam, Santorini, Lyon] and explore these options in order.\n         |- Try arranging to visit Nice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Warsaw to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini, Lyon] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Nice to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice, Amsterdam].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Amsterdam to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice, Amsterdam, Santorini].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Santorini to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Amsterdam to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Nice to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Nice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice, Lyon].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Lyon to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice, Lyon, Amsterdam].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Amsterdam to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Madrid, Istanbul, Vienna, Warsaw, Nice, Lyon, Amsterdam, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Warsaw.\n**Day 7-8:** Visit Warsaw for 2 days.\n**Day 8:** Fly from Warsaw to Nice.\n**Day 8-11:** Visit Nice for 4 days.\n**Day 11:** Fly from Nice to Lyon.\n**Day 11-12:** Visit Lyon for 2 days.\n**Day 12:** Fly from Lyon to Amsterdam.\n**Day 12-13:** Visit Amsterdam for 2 days.\n**Day 13:** Fly from Amsterdam to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Milan**Split**Helsinki**Dubrovnik**Istanbul**Lisbon**Reykjavik",
    "ground_truth_durations": "5**3**5**2**4**2**4**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You want to spend 3 days in Milan. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 12 and day 15. You plan to stay in Santorini for 5 days. You want to spend 2 days in Istanbul. You want to spend 2 days in Helsinki. You plan to stay in Reykjavik for 2 days. You plan to stay in Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nHelsinki and Reykjavik, Santorini and Milan, Helsinki and Lisbon, Helsinki and Dubrovnik, Milan and Helsinki, Split and Helsinki, Milan and Lisbon, Milan and Reykjavik, Milan and Split, Helsinki and Istanbul, from Dubrovnik to Istanbul, Lisbon and Reykjavik, Milan and Istanbul, Istanbul and Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Split for 5 days. You want to spend 3 days in Milan. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 12 and day 15. You plan to stay in Santorini for 5 days. You want to spend 2 days in Istanbul. You want to spend 2 days in Helsinki. You plan to stay in Reykjavik for 2 days. You plan to stay in Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Reykjavik, from Santorini to Milan, from Helsinki to Lisbon, from Helsinki to Dubrovnik, from Milan to Helsinki, from Split to Helsinki, from Milan to Lisbon, from Milan to Reykjavik, from Milan to Split, from Helsinki to Istanbul, from Dubrovnik to Istanbul, from Lisbon to Reykjavik, from Milan to Istanbul, from Istanbul to Lisbon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Helsinki.\n**Day 11-12:** Visit Helsinki for 2 days.\n**Day 12:** Fly from Helsinki to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Istanbul.\n**Day 15-16:** Visit Istanbul for 2 days.\n**Day 16:** Fly from Istanbul to Lisbon.\n**Day 16-19:** Visit Lisbon for 4 days.\n**Day 19:** Fly from Lisbon to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1115",
    "estimated_output_tokens": 12634,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Santorini, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 12 - 15.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Milan, Santorini, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 15).\n |- The departure day of Split is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 15).\n   |- The departure day of Helsinki is Day 6. The arrival day of Dubrovnik is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Istanbul, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 12 - 15).\n     |- The departure day of Istanbul is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Helsinki, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Reykjavik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Istanbul to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Istanbul to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Istanbul to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Istanbul to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 15).\n       |- The departure day of Lisbon is Day 10. The arrival day of Dubrovnik is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Helsinki, Istanbul, Lisbon].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Lisbon to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Lisbon to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Lisbon to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 12 - 15).\n         |- The departure day of Reykjavik is Day 11. The arrival day of Dubrovnik is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Helsinki, Istanbul, Lisbon, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Santorini] and explore these options in order.\n           |- Try arranging to visit Milan from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Reykjavik to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Reykjavik to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 12 - 15).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, Helsinki, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Istanbul, Lisbon] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 12 - 15).\n     |- The departure day of Lisbon is Day 9. The arrival day of Dubrovnik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Helsinki, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Istanbul, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lisbon to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 12 - 15).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Dubrovnik is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Helsinki, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Santorini, Istanbul] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 15).\n |- The departure day of Milan is Day 3. The arrival day of Dubrovnik is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 12 - 15).\n   |- The departure day of Split is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Split to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 15).\n     |- The departure day of Helsinki is Day 8. The arrival day of Dubrovnik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, Split, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Istanbul, Reykjavik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Helsinki to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Helsinki to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 12 - 15).\n       |- The departure day of Istanbul is Day 9. The arrival day of Dubrovnik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Split, Helsinki, Istanbul].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Reykjavik, Lisbon] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Istanbul to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Istanbul to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Istanbul to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 12 - 15).\n         |- The departure day of Lisbon is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Milan, Split, Helsinki, Istanbul, Lisbon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Lisbon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Helsinki to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 12 - 15).\n       |- The departure day of Reykjavik is Day 9. The arrival day of Dubrovnik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Split, Helsinki, Reykjavik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Istanbul, Lisbon] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Reykjavik to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Reykjavik to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Helsinki to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 12 - 15).\n       |- The departure day of Lisbon is Day 11. The arrival day of Dubrovnik is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Split, Helsinki, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Istanbul, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Lisbon to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Lisbon to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 12 - 15).\n         |- The departure day of Reykjavik is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Milan, Split, Helsinki, Lisbon, Reykjavik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Reykjavik to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Split to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Split to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 12 - 15).\n   |- The departure day of Istanbul is Day 4. The arrival day of Dubrovnik is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 12 - 15).\n     |- The departure day of Lisbon is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Istanbul, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Helsinki, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 15).\n       |- The departure day of Reykjavik is Day 8. The arrival day of Dubrovnik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Milan, Istanbul, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Helsinki] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 12 - 15).\n   |- The departure day of Helsinki is Day 4. The arrival day of Dubrovnik is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Helsinki to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 12 - 15).\n     |- The departure day of Istanbul is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Helsinki, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Reykjavik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Istanbul to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Istanbul to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Istanbul to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Istanbul to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 15).\n       |- The departure day of Lisbon is Day 8. The arrival day of Dubrovnik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Milan, Helsinki, Istanbul, Lisbon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Lisbon to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Lisbon to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Lisbon to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 12 - 15).\n         |- The departure day of Reykjavik is Day 9. The arrival day of Dubrovnik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Milan, Helsinki, Istanbul, Lisbon, Reykjavik].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Santorini] and explore these options in order.\n           |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Reykjavik to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Reykjavik to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Helsinki to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 12 - 15).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Helsinki, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Lisbon] and explore these options in order.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Reykjavik to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Lisbon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Helsinki to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 12 - 15).\n     |- The departure day of Lisbon is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Helsinki, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 15).\n       |- The departure day of Reykjavik is Day 8. The arrival day of Dubrovnik is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Milan, Helsinki, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Reykjavik to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 12 - 15).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Dubrovnik is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Helsinki, Lisbon] and explore these options in order.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 12 - 15).\n   |- The departure day of Lisbon is Day 6. The arrival day of Dubrovnik is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Helsinki, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 12 - 15).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Lisbon, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Santorini, Istanbul, Helsinki] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Helsinki.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 12 - 15).\n |- The departure day of Santorini is Day 5. The arrival day of Dubrovnik is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Milan, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 12 - 15).\n   |- The departure day of Milan is Day 7. The arrival day of Dubrovnik is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 12 - 15).\n     |- The departure day of Split is Day 11. The arrival day of Dubrovnik is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Santorini, Milan, Split].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Helsinki, Reykjavik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Split to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Split to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 12 - 15).\n       |- The departure day of Helsinki is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, Milan, Split, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Santorini, Milan, Split, Helsinki, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik, Lisbon] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Dubrovnik to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Milan, Split, Helsinki, Dubrovnik, Istanbul].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lisbon] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Istanbul to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lisbon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Istanbul to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Santorini, Milan, Split, Helsinki, Dubrovnik, Istanbul, Lisbon].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Lisbon to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Milan, Split, Helsinki, Dubrovnik, Istanbul, Lisbon, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Helsinki.\n**Day 11-12:** Visit Helsinki for 2 days.\n**Day 12:** Fly from Helsinki to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Istanbul.\n**Day 15-16:** Visit Istanbul for 2 days.\n**Day 16:** Fly from Istanbul to Lisbon.\n**Day 16-19:** Visit Lisbon for 4 days.\n**Day 19:** Fly from Lisbon to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Barcelona**Split**Stockholm**Reykjavik**Munich**Oslo**Frankfurt",
    "ground_truth_durations": "2**3**3**4**5**4**2**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Split",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. From day 16 to day 17, there is a annual show you want to attend in Oslo. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 9 and day 13. You would like to visit Stockholm for 4 days. You want to spend 4 days in Munich. You plan to visit relatives in Munich between day 13 and day 16. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 17 and day 20. You would like to visit Barcelona for 3 days. You would like to visit Bucharest for 2 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nReykjavik and Munich, Munich and Frankfurt, Split and Oslo, Reykjavik and Oslo, Bucharest and Munich, Oslo and Frankfurt, Bucharest and Barcelona, Barcelona and Frankfurt, Reykjavik and Frankfurt, Barcelona and Stockholm, Barcelona and Reykjavik, Stockholm and Reykjavik, Barcelona and Split, Bucharest and Oslo, Bucharest and Frankfurt, Split and Stockholm, Barcelona and Oslo, Stockholm and Munich, Stockholm and Oslo, Split and Frankfurt, Barcelona and Munich, Stockholm and Frankfurt, Munich and Oslo, Split and Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. From day 16 to day 17, there is a annual show you want to attend in Oslo. You plan to stay in Reykjavik for 5 days. You want to meet a friend in Reykjavik between day 9 and day 13. You would like to visit Stockholm for 4 days. You want to spend 4 days in Munich. You plan to visit relatives in Munich between day 13 and day 16. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 17 and day 20. You would like to visit Barcelona for 3 days. You would like to visit Bucharest for 2 days. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Munich, from Munich to Frankfurt, from Split to Oslo, from Reykjavik to Oslo, from Bucharest to Munich, from Oslo to Frankfurt, from Bucharest to Barcelona, from Barcelona to Frankfurt, from Reykjavik to Frankfurt, from Barcelona to Stockholm, from Barcelona to Reykjavik, from Stockholm to Reykjavik, from Barcelona to Split, from Bucharest to Oslo, from Bucharest to Frankfurt, from Split to Stockholm, from Barcelona to Oslo, from Stockholm to Munich, from Stockholm to Oslo, from Split to Frankfurt, from Barcelona to Munich, from Stockholm to Frankfurt, from Munich to Oslo, from Split to Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Barcelona.\n**Day 2-4:** Visit Barcelona for 3 days.\n**Day 4:** Fly from Barcelona to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Oslo.\n**Day 16-17:** Visit Oslo for 2 days.\n**Day 17:** Fly from Oslo to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_1116",
    "estimated_output_tokens": 3830,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Stockholm, Duration: 4 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Barcelona, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 9 - 13.\n* City: Munich, Fixed Schedule: Day 13 - 16.\n* City: Oslo, Fixed Schedule: Day 16 - 17.\n* City: Frankfurt, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 4 days.\n* City: Barcelona, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Barcelona, Bucharest, Split] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 9 - 13).\n |- The departure day of Stockholm is Day 4. The arrival day of Reykjavik is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Bucharest, Split] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Stockholm to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 9 - 13).\n |- The departure day of Barcelona is Day 3. The arrival day of Reykjavik is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Bucharest, Split] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Barcelona to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 9 - 13).\n   |- The departure day of Stockholm is Day 6. The arrival day of Reykjavik is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Split] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Barcelona to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 9 - 13).\n   |- The departure day of Split is Day 5. The arrival day of Reykjavik is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Barcelona, Split].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Bucharest] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Split to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 9 - 13).\n     |- The departure day of Stockholm is Day 8. The arrival day of Reykjavik is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Split, Stockholm].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stockholm to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Split to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 9 - 13).\n |- The departure day of Bucharest is Day 2. The arrival day of Reykjavik is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Barcelona, Split] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 9 - 13).\n   |- The departure day of Barcelona is Day 4. The arrival day of Reykjavik is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Split] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Barcelona to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 9 - 13).\n     |- The departure day of Stockholm is Day 7. The arrival day of Reykjavik is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Barcelona, Stockholm].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Barcelona to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 9 - 13).\n     |- The departure day of Split is Day 6. The arrival day of Reykjavik is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Barcelona, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Split to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 9 - 13).\n       |- The departure day of Stockholm is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Barcelona, Split, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 13 - 16).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Munich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Bucharest, Barcelona, Split, Stockholm, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 16 - 17).\n           |- The departure day of Munich is Day 16. The arrival day of Oslo is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Bucharest, Barcelona, Split, Stockholm, Reykjavik, Munich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Munich to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 17 - 20).\n             |- The departure day of Oslo is Day 17. The arrival day of Frankfurt is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Bucharest, Barcelona, Split, Stockholm, Reykjavik, Munich, Oslo].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Oslo to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Bucharest, Barcelona, Split, Stockholm, Reykjavik, Munich, Oslo, Frankfurt].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Barcelona.\n**Day 2-4:** Visit Barcelona for 3 days.\n**Day 4:** Fly from Barcelona to Split.\n**Day 4-6:** Visit Split for 3 days.\n**Day 6:** Fly from Split to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Munich.\n**Day 13-16:** Visit Munich for 4 days.\n**Day 16:** Fly from Munich to Oslo.\n**Day 16-17:** Visit Oslo for 2 days.\n**Day 17:** Fly from Oslo to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Athens**Manchester**Lisbon**Florence**Prague**Tallinn**Stockholm",
    "ground_truth_durations": "5**5**2**3**2**2**5**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Manchester",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Prague"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You would like to visit Manchester for 2 days. You plan to visit relatives in Manchester between day 9 and day 10. You would like to visit Lisbon for 3 days. You would like to visit Florence for 2 days. You would like to visit Amsterdam for 5 days. You have to attend a workshop in Amsterdam between day 1 and day 5. You plan to stay in Tallinn for 5 days. You want to meet a friend in Tallinn between day 14 and day 18. You want to spend 4 days in Stockholm. You would like to visit Prague for 2 days.\n\nHere are the cities that have direct flights:\nTallinn and Stockholm, Manchester and Lisbon, Lisbon and Florence, Athens and Manchester, Prague and Stockholm, Athens and Prague, Manchester and Prague, Lisbon and Prague, Prague and Tallinn, Amsterdam and Lisbon, Athens and Lisbon, Amsterdam and Tallinn, Manchester and Stockholm, Amsterdam and Manchester, Athens and Stockholm, Amsterdam and Prague, Florence and Prague, Amsterdam and Florence, Lisbon and Stockholm, Amsterdam and Stockholm, Amsterdam and Athens.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. You would like to visit Manchester for 2 days. You plan to visit relatives in Manchester between day 9 and day 10. You would like to visit Lisbon for 3 days. You would like to visit Florence for 2 days. You would like to visit Amsterdam for 5 days. You have to attend a workshop in Amsterdam between day 1 and day 5. You plan to stay in Tallinn for 5 days. You want to meet a friend in Tallinn between day 14 and day 18. You want to spend 4 days in Stockholm. You would like to visit Prague for 2 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Stockholm, from Manchester to Lisbon, from Lisbon to Florence, from Athens to Manchester, from Prague to Stockholm, from Athens to Prague, from Manchester to Prague, from Lisbon to Prague, from Prague to Tallinn, from Amsterdam to Lisbon, from Athens to Lisbon, from Amsterdam to Tallinn, from Manchester to Stockholm, from Amsterdam to Manchester, from Athens to Stockholm, from Amsterdam to Prague, from Florence to Prague, from Amsterdam to Florence, from Lisbon to Stockholm, from Amsterdam to Stockholm, from Amsterdam to Athens.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Manchester.\n**Day 9-10:** Visit Manchester for 2 days.\n**Day 10:** Fly from Manchester to Lisbon.\n**Day 10-12:** Visit Lisbon for 3 days.\n**Day 12:** Fly from Lisbon to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Prague.\n**Day 13-14:** Visit Prague for 2 days.\n**Day 14:** Fly from Prague to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.",
    "id": "trip_planning_example_1117",
    "estimated_output_tokens": 2021,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Lisbon, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Stockholm, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 5.\n* City: Manchester, Fixed Schedule: Day 9 - 10.\n* City: Tallinn, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Stockholm, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 9 - 10).\n |- The departure day of Amsterdam is Day 5. The arrival day of Manchester is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Lisbon, Florence, Stockholm, Prague] and explore these options in order.\n   |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Amsterdam to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 9 - 10).\n   |- The departure day of Athens is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Amsterdam, Athens].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Athens to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 14 - 18).\n     |- The departure day of Manchester is Day 10. The arrival day of Tallinn is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Athens, Manchester].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Stockholm, Prague] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Manchester to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 14 - 18).\n       |- The departure day of Lisbon is Day 12. The arrival day of Tallinn is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Amsterdam, Athens, Manchester, Lisbon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Prague] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Lisbon to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 14 - 18).\n         |- The departure day of Florence is Day 13. The arrival day of Tallinn is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Amsterdam, Athens, Manchester, Lisbon, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Prague] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Florence to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Florence to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 14 - 18).\n           |- The departure day of Prague is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Amsterdam, Athens, Manchester, Lisbon, Florence, Prague].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Prague to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Amsterdam, Athens, Manchester, Lisbon, Florence, Prague, Tallinn].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n               |- Try arranging to visit Stockholm from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Tallinn to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Amsterdam, Athens, Manchester, Lisbon, Florence, Prague, Tallinn, Stockholm].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Manchester.\n**Day 9-10:** Visit Manchester for 2 days.\n**Day 10:** Fly from Manchester to Lisbon.\n**Day 10-12:** Visit Lisbon for 3 days.\n**Day 12:** Fly from Lisbon to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Prague.\n**Day 13-14:** Visit Prague for 2 days.\n**Day 14:** Fly from Prague to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Stockholm.\n**Day 18-21:** Visit Stockholm for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Budapest**Bucharest**Lyon**Split**Geneva**Dubrovnik",
    "ground_truth_durations": "5**5**5**3**4**4**4**2",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Budapest",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 5 days. You would like to visit Munich for 5 days. You want to spend 4 days in Geneva. You want to spend 5 days in Florence. You are going to attend a wedding in Florence between day 1 and day 5. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 13 and day 15. You would like to visit Split for 4 days. You would like to visit Lyon for 4 days. You want to spend 2 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nGeneva and Dubrovnik, Munich and Bucharest, from Florence to Munich, Munich and Dubrovnik, Bucharest and Lyon, Munich and Split, Munich and Lyon, Munich and Geneva, Munich and Budapest, Budapest and Geneva, Split and Geneva, Lyon and Split, Budapest and Bucharest.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Budapest for 5 days. You would like to visit Munich for 5 days. You want to spend 4 days in Geneva. You want to spend 5 days in Florence. You are going to attend a wedding in Florence between day 1 and day 5. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 13 and day 15. You would like to visit Split for 4 days. You would like to visit Lyon for 4 days. You want to spend 2 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Geneva to Dubrovnik, from Munich to Bucharest, from Florence to Munich, from Munich to Dubrovnik, from Bucharest to Lyon, from Munich to Split, from Munich to Lyon, from Munich to Geneva, from Munich to Budapest, from Budapest to Geneva, from Split to Geneva, from Lyon to Split, from Budapest to Bucharest.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Split.\n**Day 18-21:** Visit Split for 4 days.\n**Day 21:** Fly from Split to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.\n**Day 24:** Fly from Geneva to Dubrovnik.\n**Day 24-25:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1118",
    "estimated_output_tokens": 2079,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Split, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Budapest, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 13 - 15).\n |- The departure day of Florence is Day 5. The arrival day of Bucharest is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Munich, Geneva, Split, Lyon, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 13 - 15).\n   |- The departure day of Munich is Day 9. The arrival day of Bucharest is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Geneva, Split, Lyon, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 13 - 15).\n     |- The departure day of Budapest is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Munich, Budapest].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Budapest to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Florence, Munich, Budapest, Bucharest].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Split, Lyon, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Bucharest to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Bucharest to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Bucharest to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Florence, Munich, Budapest, Bucharest, Lyon].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Split, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Lyon to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Lyon to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Florence, Munich, Budapest, Bucharest, Lyon, Split].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Split to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Florence, Munich, Budapest, Bucharest, Lyon, Split, Geneva].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Geneva to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Florence, Munich, Budapest, Bucharest, Lyon, Split, Geneva, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Split.\n**Day 18-21:** Visit Split for 4 days.\n**Day 21:** Fly from Split to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.\n**Day 24:** Fly from Geneva to Dubrovnik.\n**Day 24-25:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Riga**Lisbon**Reykjavik**Frankfurt**Split**Madrid**Seville",
    "ground_truth_durations": "2**3**3**2**4**2**3**5",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Frankfurt",
        "Madrid"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Lisbon",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You want to meet a friend in Reykjavik between day 6 and day 7. You want to spend 3 days in Lisbon. You plan to stay in Frankfurt for 4 days. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 2 and day 4. You plan to stay in Split for 2 days. You would like to visit Bucharest for 2 days. You want to spend 5 days in Seville. During day 13 and day 17, you have to attend a conference in Seville. You plan to stay in Madrid for 3 days. You would like to meet your friends at Madrid between day 11 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nBucharest and Frankfurt, Frankfurt and Split, Frankfurt and Madrid, Split and Madrid, Bucharest and Lisbon, Bucharest and Madrid, Madrid and Seville, Lisbon and Frankfurt, from Reykjavik to Madrid, Bucharest and Riga, Riga and Frankfurt, Riga and Lisbon, Reykjavik and Frankfurt, Lisbon and Reykjavik, Lisbon and Seville, Lisbon and Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You want to meet a friend in Reykjavik between day 6 and day 7. You want to spend 3 days in Lisbon. You plan to stay in Frankfurt for 4 days. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 2 and day 4. You plan to stay in Split for 2 days. You would like to visit Bucharest for 2 days. You want to spend 5 days in Seville. During day 13 and day 17, you have to attend a conference in Seville. You plan to stay in Madrid for 3 days. You would like to meet your friends at Madrid between day 11 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Frankfurt, from Frankfurt to Split, from Frankfurt to Madrid, from Split to Madrid, from Bucharest to Lisbon, from Bucharest to Madrid, from Madrid to Seville, from Lisbon to Frankfurt, from Reykjavik to Madrid, from Bucharest to Riga, from Riga to Frankfurt, from Riga to Lisbon, from Reykjavik to Frankfurt, from Lisbon to Reykjavik, from Lisbon to Seville, from Lisbon to Madrid.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Madrid.\n**Day 11-13:** Visit Madrid for 3 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-17:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1119",
    "estimated_output_tokens": 2568,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Lisbon, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Split, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 4.\n* City: Reykjavik, Fixed Schedule: Day 6 - 7.\n* City: Madrid, Fixed Schedule: Day 11 - 13.\n* City: Seville, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Frankfurt, Split, Bucharest] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Lisbon is Day 3. The arrival day of Riga is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Frankfurt is Day 4. The arrival day of Riga is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Split is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Bucharest is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 6 - 7).\n   |- The departure day of Riga is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Frankfurt, Split] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Riga to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 7).\n     |- The departure day of Lisbon is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Riga, Lisbon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 11 - 13).\n       |- The departure day of Reykjavik is Day 7. The arrival day of Madrid is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Riga, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Split] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Reykjavik to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Madrid (Day 11 - 13).\n         |- The departure day of Frankfurt is Day 10. The arrival day of Madrid is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Bucharest, Riga, Lisbon, Reykjavik, Frankfurt].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Frankfurt to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 11 - 13).\n           |- The departure day of Split is Day 11. The arrival day of Madrid is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Bucharest, Riga, Lisbon, Reykjavik, Frankfurt, Split].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Madrid.\n             |- Try arranging to visit Madrid from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Split to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 13 - 17).\n             |- The departure day of Madrid is Day 13. The arrival day of Seville is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Bucharest, Riga, Lisbon, Reykjavik, Frankfurt, Split, Madrid].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Madrid to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Bucharest, Riga, Lisbon, Reykjavik, Frankfurt, Split, Madrid, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Lisbon.\n**Day 4-6:** Visit Lisbon for 3 days.\n**Day 6:** Fly from Lisbon to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Madrid.\n**Day 11-13:** Visit Madrid for 3 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Venice**Oslo**Riga**Istanbul**Valencia**Zurich**Florence",
    "ground_truth_durations": "2**3**2**2**5**5**2**3",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Istanbul"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Oslo",
        "Zurich"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Valencia",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You plan to stay in Oslo for 2 days. You would like to visit London for 2 days. From day 1 to day 2, there is a annual show you want to attend in London. You plan to stay in Florence for 3 days. You would like to visit Riga for 2 days. You have to attend a workshop in Riga between day 5 and day 6. You want to spend 5 days in Valencia. You want to spend 2 days in Zurich. You would like to visit Venice for 3 days. You would like to meet your friends at Venice between day 2 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nRiga and Istanbul, London and Valencia, Istanbul and Zurich, Riga and Zurich, London and Oslo, London and Florence, Oslo and Zurich, London and Venice, Venice and Oslo, Venice and Zurich, from Zurich to Florence, London and Istanbul, Venice and Istanbul, Oslo and Riga, Istanbul and Valencia, London and Zurich, Oslo and Istanbul, Valencia and Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You plan to stay in Oslo for 2 days. You would like to visit London for 2 days. From day 1 to day 2, there is a annual show you want to attend in London. You plan to stay in Florence for 3 days. You would like to visit Riga for 2 days. You have to attend a workshop in Riga between day 5 and day 6. You want to spend 5 days in Valencia. You want to spend 2 days in Zurich. You would like to visit Venice for 3 days. You would like to meet your friends at Venice between day 2 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nfrom Riga to Istanbul, from London to Valencia, from Istanbul to Zurich, from Riga to Zurich, from London to Oslo, from London to Florence, from Oslo to Zurich, from London to Venice, from Venice to Oslo, from Venice to Zurich, from Zurich to Florence, from London to Istanbul, from Venice to Istanbul, from Oslo to Riga, from Istanbul to Valencia, from London to Zurich, from Oslo to Istanbul, from Valencia to Zurich.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Riga.\n**Day 5-6:** Visit Riga for 2 days.\n**Day 6:** Fly from Riga to Istanbul.\n**Day 6-10:** Visit Istanbul for 5 days.\n**Day 10:** Fly from Istanbul to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Zurich.\n**Day 14-15:** Visit Zurich for 2 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-17:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1120",
    "estimated_output_tokens": 2063,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Oslo, Duration: 2 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Florence, Duration: 3 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 2 - 4.\n* City: Riga, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Oslo, Duration: 2 days.\n* City: Florence, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 4).\n |- The departure day of London is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 5 - 6).\n   |- The departure day of Venice is Day 4. The arrival day of Riga is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [London, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Oslo, Florence, Valencia, Zurich] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 5 - 6).\n     |- The departure day of Istanbul is Day 8. The arrival day of Riga is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Venice to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 5 - 6).\n     |- The departure day of Oslo is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [London, Venice, Oslo].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Oslo to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [London, Venice, Oslo, Riga].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Florence, Valencia, Zurich] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Riga to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [London, Venice, Oslo, Riga, Istanbul].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Valencia, Zurich] and explore these options in order.\n           |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Istanbul to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Istanbul to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [London, Venice, Oslo, Riga, Istanbul, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n             |- Try arranging to visit Florence from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Valencia to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [London, Venice, Oslo, Riga, Istanbul, Valencia, Zurich].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Zurich to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [London, Venice, Oslo, Riga, Istanbul, Valencia, Zurich, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in London and visit London for 2 days.\n**Day 2:** Fly from London to Venice.\n**Day 2-4:** Visit Venice for 3 days.\n**Day 4:** Fly from Venice to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Riga.\n**Day 5-6:** Visit Riga for 2 days.\n**Day 6:** Fly from Riga to Istanbul.\n**Day 6-10:** Visit Istanbul for 5 days.\n**Day 10:** Fly from Istanbul to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Zurich.\n**Day 14-15:** Visit Zurich for 2 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-17:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Milan**Hamburg**Bucharest**Lyon**Dublin**Tallinn",
    "ground_truth_durations": "2**2**2**3**4**3**4**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Istanbul",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You plan to stay in Istanbul for 2 days. You would like to visit Dubrovnik for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Dublin for 4 days. From day 11 to day 14, there is a annual show you want to attend in Dublin. You want to spend 4 days in Bucharest. You are going to attend a wedding in Bucharest between day 6 and day 9. You want to spend 2 days in Milan. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nMilan and Hamburg, Istanbul and Lyon, Hamburg and Bucharest, Dublin and Tallinn, from Dubrovnik to Istanbul, Hamburg and Dublin, Istanbul and Bucharest, Bucharest and Dublin, Bucharest and Lyon, Istanbul and Hamburg, Lyon and Dublin, Dubrovnik and Dublin, Milan and Dublin, from Istanbul to Tallinn, Istanbul and Dublin, Istanbul and Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You plan to stay in Istanbul for 2 days. You would like to visit Dubrovnik for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Dublin for 4 days. From day 11 to day 14, there is a annual show you want to attend in Dublin. You want to spend 4 days in Bucharest. You are going to attend a wedding in Bucharest between day 6 and day 9. You want to spend 2 days in Milan. You want to spend 3 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Milan to Hamburg, from Istanbul to Lyon, from Hamburg to Bucharest, from Dublin to Tallinn, from Dubrovnik to Istanbul, from Hamburg to Dublin, from Istanbul to Bucharest, from Bucharest to Dublin, from Bucharest to Lyon, from Istanbul to Hamburg, from Lyon to Dublin, from Dubrovnik to Dublin, from Milan to Dublin, from Istanbul to Tallinn, from Istanbul to Dublin, from Istanbul to Milan.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Hamburg.\n**Day 4-6:** Visit Hamburg for 3 days.\n**Day 6:** Fly from Hamburg to Bucharest.\n**Day 6-9:** Visit Bucharest for 4 days.\n**Day 9:** Fly from Bucharest to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Tallinn.\n**Day 14-15:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1121",
    "estimated_output_tokens": 5534,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Milan, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 6 - 9.\n* City: Dublin, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Milan, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Istanbul, Dubrovnik, Tallinn, Milan, Hamburg] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 6 - 9).\n |- The departure day of Lyon is Day 3. The arrival day of Bucharest is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Tallinn, Milan, Hamburg] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 6 - 9).\n |- The departure day of Istanbul is Day 2. The arrival day of Bucharest is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Tallinn, Milan, Hamburg] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 9).\n   |- The departure day of Lyon is Day 4. The arrival day of Bucharest is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Lyon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn, Milan, Hamburg] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lyon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lyon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lyon to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Lyon to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 9).\n   |- The departure day of Tallinn is Day 3. The arrival day of Bucharest is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Istanbul, Tallinn].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Milan, Hamburg] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Tallinn to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Tallinn to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Tallinn to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 9).\n   |- The departure day of Milan is Day 3. The arrival day of Bucharest is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Istanbul, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Tallinn, Hamburg] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Milan to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 6 - 9).\n     |- The departure day of Hamburg is Day 5. The arrival day of Bucharest is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Istanbul, Milan, Hamburg].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Tallinn] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Hamburg to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Hamburg to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Hamburg to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 9).\n   |- The departure day of Hamburg is Day 4. The arrival day of Bucharest is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Tallinn, Milan] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Hamburg to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Hamburg to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Hamburg to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Hamburg to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 6 - 9).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Bucharest is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Istanbul, Tallinn, Milan, Hamburg] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 6 - 9).\n   |- The departure day of Istanbul is Day 3. The arrival day of Bucharest is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Milan, Hamburg] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Istanbul to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 6 - 9).\n     |- The departure day of Lyon is Day 5. The arrival day of Bucharest is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Dubrovnik, Istanbul, Lyon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Milan, Hamburg] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lyon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Lyon to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 6 - 9).\n     |- The departure day of Tallinn is Day 4. The arrival day of Bucharest is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Dubrovnik, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Milan, Hamburg] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Tallinn to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Tallinn to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Tallinn to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Istanbul to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 6 - 9).\n     |- The departure day of Milan is Day 4. The arrival day of Bucharest is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Dubrovnik, Istanbul, Milan].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Hamburg] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Milan to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Milan to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 6 - 9).\n       |- The departure day of Hamburg is Day 6. The arrival day of Bucharest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Dubrovnik, Istanbul, Milan, Hamburg].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 11 - 14).\n         |- The departure day of Bucharest is Day 9. The arrival day of Dublin is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Dubrovnik, Istanbul, Milan, Hamburg, Bucharest].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 11 - 14).\n           |- The departure day of Lyon is Day 11. The arrival day of Dublin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Dubrovnik, Istanbul, Milan, Hamburg, Bucharest, Lyon].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Lyon to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Dubrovnik, Istanbul, Milan, Hamburg, Bucharest, Lyon, Dublin].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Dublin to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Dubrovnik, Istanbul, Milan, Hamburg, Bucharest, Lyon, Dublin, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Hamburg.\n**Day 4-6:** Visit Hamburg for 3 days.\n**Day 6:** Fly from Hamburg to Bucharest.\n**Day 6-9:** Visit Bucharest for 4 days.\n**Day 9:** Fly from Bucharest to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Tallinn.\n**Day 14-15:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Lisbon**Milan**Stuttgart**Frankfurt**Edinburgh**Geneva**Dubrovnik",
    "ground_truth_durations": "2**3**3**4**4**2**5**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Lisbon",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 6 and day 9 to tour together. You plan to stay in Lisbon for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Milan for 3 days. You want to meet a friend in Milan between day 4 and day 6. You want to spend 2 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 12 and day 13. You plan to stay in Frankfurt for 4 days. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nNice and Frankfurt, Geneva and Dubrovnik, Edinburgh and Geneva, Milan and Edinburgh, Frankfurt and Geneva, Lisbon and Milan, Nice and Lisbon, Stuttgart and Edinburgh, Stuttgart and Frankfurt, Lisbon and Frankfurt, Milan and Frankfurt, Lisbon and Stuttgart, Milan and Stuttgart, Nice and Edinburgh, Frankfurt and Edinburgh, Frankfurt and Dubrovnik, Nice and Geneva, Lisbon and Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 6 and day 9 to tour together. You plan to stay in Lisbon for 3 days. You would like to visit Geneva for 5 days. You plan to stay in Dubrovnik for 4 days. You would like to visit Milan for 3 days. You want to meet a friend in Milan between day 4 and day 6. You want to spend 2 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 12 and day 13. You plan to stay in Frankfurt for 4 days. You plan to stay in Nice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Frankfurt, from Geneva to Dubrovnik, from Edinburgh to Geneva, from Milan to Edinburgh, from Frankfurt to Geneva, from Lisbon to Milan, from Nice to Lisbon, from Stuttgart to Edinburgh, from Stuttgart to Frankfurt, from Lisbon to Frankfurt, from Milan to Frankfurt, from Lisbon to Stuttgart, from Milan to Stuttgart, from Nice to Edinburgh, from Frankfurt to Edinburgh, from Frankfurt to Dubrovnik, from Nice to Geneva, from Lisbon to Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Lisbon.\n**Day 2-4:** Visit Lisbon for 3 days.\n**Day 4:** Fly from Lisbon to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Stuttgart.\n**Day 6-9:** Visit Stuttgart for 4 days.\n**Day 9:** Fly from Stuttgart to Frankfurt.\n**Day 9-12:** Visit Frankfurt for 4 days.\n**Day 12:** Fly from Frankfurt to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.",
    "id": "trip_planning_example_1122",
    "estimated_output_tokens": 3165,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Lisbon, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Frankfurt, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 4 - 6.\n* City: Stuttgart, Fixed Schedule: Day 6 - 9.\n* City: Edinburgh, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lisbon, Geneva, Dubrovnik, Frankfurt, Nice] and explore these options in order.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Lisbon is Day 3. The arrival day of Milan is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Frankfurt, Nice] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 6).\n   |- The departure day of Geneva is Day 7. The arrival day of Milan is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 6).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Milan is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Geneva is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Frankfurt is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 6).\n |- The departure day of Nice is Day 2. The arrival day of Milan is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Geneva, Dubrovnik, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Nice to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 6).\n   |- The departure day of Lisbon is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Nice, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Lisbon to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 6 - 9).\n     |- The departure day of Milan is Day 6. The arrival day of Stuttgart is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Lisbon, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Milan to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 12 - 13).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Edinburgh is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Lisbon, Milan, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Stuttgart to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Stuttgart to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Stuttgart to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 12 - 13).\n         |- The departure day of Frankfurt is Day 12. The arrival day of Edinburgh is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Nice, Lisbon, Milan, Stuttgart, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Frankfurt to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Nice, Lisbon, Milan, Stuttgart, Frankfurt, Edinburgh].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Edinburgh to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Nice, Lisbon, Milan, Stuttgart, Frankfurt, Edinburgh, Geneva].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Geneva to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Nice, Lisbon, Milan, Stuttgart, Frankfurt, Edinburgh, Geneva, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Lisbon.\n**Day 2-4:** Visit Lisbon for 3 days.\n**Day 4:** Fly from Lisbon to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Stuttgart.\n**Day 6-9:** Visit Stuttgart for 4 days.\n**Day 9:** Fly from Stuttgart to Frankfurt.\n**Day 9-12:** Visit Frankfurt for 4 days.\n**Day 12:** Fly from Frankfurt to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Istanbul**Edinburgh**Helsinki**Naples**Warsaw**Oslo**Lyon",
    "ground_truth_durations": "2**2**3**2**3**5**3**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 1 and day 2. You want to spend 5 days in Warsaw. You plan to stay in Edinburgh for 3 days. From day 3 to day 5, there is a annual show you want to attend in Edinburgh. You plan to stay in Naples for 3 days. You would like to meet your friends at Naples between day 6 and day 8 to tour together. You plan to stay in Helsinki for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 12 and day 14. You would like to visit Lyon for 2 days. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nWarsaw and Oslo, Bucharest and Naples, Bucharest and Oslo, Bucharest and Lyon, Istanbul and Oslo, Helsinki and Naples, Istanbul and Naples, Istanbul and Helsinki, Naples and Warsaw, Bucharest and Istanbul, Istanbul and Warsaw, Istanbul and Lyon, Istanbul and Edinburgh, Helsinki and Warsaw, Helsinki and Oslo, Edinburgh and Oslo, Bucharest and Warsaw, Edinburgh and Helsinki, Naples and Oslo, Oslo and Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 1 and day 2. You want to spend 5 days in Warsaw. You plan to stay in Edinburgh for 3 days. From day 3 to day 5, there is a annual show you want to attend in Edinburgh. You plan to stay in Naples for 3 days. You would like to meet your friends at Naples between day 6 and day 8 to tour together. You plan to stay in Helsinki for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 12 and day 14. You would like to visit Lyon for 2 days. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Oslo, from Bucharest to Naples, from Bucharest to Oslo, from Bucharest to Lyon, from Istanbul to Oslo, from Helsinki to Naples, from Istanbul to Naples, from Istanbul to Helsinki, from Naples to Warsaw, from Bucharest to Istanbul, from Istanbul to Warsaw, from Istanbul to Lyon, from Istanbul to Edinburgh, from Helsinki to Warsaw, from Helsinki to Oslo, from Edinburgh to Oslo, from Bucharest to Warsaw, from Edinburgh to Helsinki, from Naples to Oslo, from Oslo to Lyon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Edinburgh.\n**Day 3-5:** Visit Edinburgh for 3 days.\n**Day 5:** Fly from Edinburgh to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1123",
    "estimated_output_tokens": 2433,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Duration: 5 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Helsinki, Duration: 2 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Lyon, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Edinburgh, Fixed Schedule: Day 3 - 5.\n* City: Naples, Fixed Schedule: Day 6 - 8.\n* City: Oslo, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 3 - 5).\n |- The departure day of Bucharest is Day 2. The arrival day of Edinburgh is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Helsinki, Lyon, Istanbul] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 3 - 5).\n   |- The departure day of Warsaw is Day 6. The arrival day of Edinburgh is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 3 - 5).\n   |- The departure day of Lyon is Day 3. The arrival day of Edinburgh is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 3 - 5).\n   |- The departure day of Istanbul is Day 3. The arrival day of Edinburgh is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Istanbul to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 6 - 8).\n     |- The departure day of Edinburgh is Day 5. The arrival day of Naples is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Istanbul, Edinburgh].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Helsinki, Lyon] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Edinburgh to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Edinburgh to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 6 - 8).\n       |- The departure day of Helsinki is Day 6. The arrival day of Naples is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Bucharest, Istanbul, Edinburgh, Helsinki].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Naples.\n         |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Helsinki to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 12 - 14).\n         |- The departure day of Naples is Day 8. The arrival day of Oslo is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Bucharest, Istanbul, Edinburgh, Helsinki, Naples].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Lyon] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Naples to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 12 - 14).\n           |- The departure day of Warsaw is Day 12. The arrival day of Oslo is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Bucharest, Istanbul, Edinburgh, Helsinki, Naples, Warsaw].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Warsaw to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Bucharest, Istanbul, Edinburgh, Helsinki, Naples, Warsaw, Oslo].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Oslo to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Bucharest, Istanbul, Edinburgh, Helsinki, Naples, Warsaw, Oslo, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to Edinburgh.\n**Day 3-5:** Visit Edinburgh for 3 days.\n**Day 5:** Fly from Edinburgh to Helsinki.\n**Day 5-6:** Visit Helsinki for 2 days.\n**Day 6:** Fly from Helsinki to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Lisbon**Florence**Paris**Edinburgh**Prague**Lyon**Split",
    "ground_truth_durations": "2**4**5**3**3**5**5**5",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Paris",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You plan to stay in Florence for 5 days. You want to meet a friend in Florence between day 5 and day 9. You want to spend 3 days in Edinburgh. You would like to visit Split for 5 days. You want to spend 5 days in Prague. You plan to stay in Lyon for 5 days. You have to attend a workshop in Lyon between day 17 and day 21. You would like to visit Paris for 3 days. From day 9 to day 11, there is a annual show you want to attend in Paris. You plan to stay in Lisbon for 4 days. You would like to meet your friends at Lisbon between day 2 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nLisbon and Paris, Florence and Paris, Paris and Split, Milan and Lisbon, Prague and Lyon, Milan and Split, Lisbon and Prague, Paris and Prague, Milan and Edinburgh, Edinburgh and Prague, Milan and Prague, Lyon and Split, Lisbon and Lyon, Prague and Split, Paris and Lyon, Milan and Paris, Florence and Prague, Lisbon and Florence, Paris and Edinburgh.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. You plan to stay in Florence for 5 days. You want to meet a friend in Florence between day 5 and day 9. You want to spend 3 days in Edinburgh. You would like to visit Split for 5 days. You want to spend 5 days in Prague. You plan to stay in Lyon for 5 days. You have to attend a workshop in Lyon between day 17 and day 21. You would like to visit Paris for 3 days. From day 9 to day 11, there is a annual show you want to attend in Paris. You plan to stay in Lisbon for 4 days. You would like to meet your friends at Lisbon between day 2 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Paris, from Florence to Paris, from Paris to Split, from Milan to Lisbon, from Prague to Lyon, from Milan to Split, from Lisbon to Prague, from Paris to Prague, from Milan to Edinburgh, from Edinburgh to Prague, from Milan to Prague, from Lyon to Split, from Lisbon to Lyon, from Prague to Split, from Paris to Lyon, from Milan to Paris, from Florence to Prague, from Lisbon to Florence, from Paris to Edinburgh.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Edinburgh.\n**Day 11-13:** Visit Edinburgh for 3 days.\n**Day 13:** Fly from Edinburgh to Prague.\n**Day 13-17:** Visit Prague for 5 days.\n**Day 17:** Fly from Prague to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Split.\n**Day 21-25:** Visit Split for 5 days.",
    "id": "trip_planning_example_1124",
    "estimated_output_tokens": 2002,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Edinburgh, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 2 - 5.\n* City: Florence, Fixed Schedule: Day 5 - 9.\n* City: Paris, Fixed Schedule: Day 9 - 11.\n* City: Lyon, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Edinburgh, Split, Prague] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 5).\n |- The departure day of Milan is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 5 - 9).\n   |- The departure day of Lisbon is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 9 - 11).\n     |- The departure day of Florence is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Lisbon, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 17 - 21).\n       |- The departure day of Paris is Day 11. The arrival day of Lyon is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Lisbon, Florence, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Split, Prague] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 17 - 21).\n         |- The departure day of Edinburgh is Day 13. The arrival day of Lyon is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Milan, Lisbon, Florence, Paris, Edinburgh].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Prague] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Edinburgh to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Edinburgh to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 17 - 21).\n           |- The departure day of Prague is Day 17. The arrival day of Lyon is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Milan, Lisbon, Florence, Paris, Edinburgh, Prague].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Lyon.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Prague to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Milan, Lisbon, Florence, Paris, Edinburgh, Prague, Lyon].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Lyon to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Milan, Lisbon, Florence, Paris, Edinburgh, Prague, Lyon, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Edinburgh.\n**Day 11-13:** Visit Edinburgh for 3 days.\n**Day 13:** Fly from Edinburgh to Prague.\n**Day 13-17:** Visit Prague for 5 days.\n**Day 17:** Fly from Prague to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Split.\n**Day 21-25:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Valencia**Stuttgart**Split**Oslo**Reykjavik**Lisbon**Florence",
    "ground_truth_durations": "3**3**5**5**3**5**5**5",
    "num_cities": 8,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 1 and day 3. You want to spend 5 days in Lisbon. You plan to visit relatives in Lisbon between day 19 and day 23. You want to spend 3 days in Oslo. You would like to meet your friends at Oslo between day 13 and day 15 to tour together. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 23 and day 27. You would like to visit Valencia for 3 days. You want to spend 5 days in Split. You want to spend 5 days in Reykjavik. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nSeville and Lisbon, from Reykjavik to Stuttgart, Valencia and Stuttgart, Seville and Valencia, Oslo and Reykjavik, Stuttgart and Split, Valencia and Lisbon, Split and Oslo, Oslo and Lisbon, Lisbon and Florence, Stuttgart and Lisbon, Reykjavik and Lisbon.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 3 days. You are going to attend a wedding in Seville between day 1 and day 3. You want to spend 5 days in Lisbon. You plan to visit relatives in Lisbon between day 19 and day 23. You want to spend 3 days in Oslo. You would like to meet your friends at Oslo between day 13 and day 15 to tour together. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 23 and day 27. You would like to visit Valencia for 3 days. You want to spend 5 days in Split. You want to spend 5 days in Reykjavik. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Seville to Lisbon, from Reykjavik to Stuttgart, from Valencia to Stuttgart, from Seville to Valencia, from Oslo to Reykjavik, from Stuttgart to Split, from Valencia to Lisbon, from Split to Oslo, from Oslo to Lisbon, from Lisbon to Florence, from Stuttgart to Lisbon, from Reykjavik to Lisbon.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 27 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.\n**Day 5:** Fly from Valencia to Stuttgart.\n**Day 5-9:** Visit Stuttgart for 5 days.\n**Day 9:** Fly from Stuttgart to Split.\n**Day 9-13:** Visit Split for 5 days.\n**Day 13:** Fly from Split to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-19:** Visit Reykjavik for 5 days.\n**Day 19:** Fly from Reykjavik to Lisbon.\n**Day 19-23:** Visit Lisbon for 5 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1125",
    "estimated_output_tokens": 2147,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Valencia, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 13 - 15.\n* City: Lisbon, Fixed Schedule: Day 19 - 23.\n* City: Florence, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Seville.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 13 - 15).\n |- The departure day of Seville is Day 3. The arrival day of Oslo is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Split, Reykjavik, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Oslo (Day 13 - 15).\n   |- The departure day of Valencia is Day 5. The arrival day of Oslo is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Seville, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Valencia to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 13 - 15).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Oslo is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Valencia, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Stuttgart to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 13 - 15).\n       |- The departure day of Split is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Valencia, Stuttgart, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 19 - 23).\n         |- The departure day of Oslo is Day 15. The arrival day of Lisbon is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Valencia, Stuttgart, Split, Oslo].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Oslo to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lisbon (Day 19 - 23).\n           |- The departure day of Reykjavik is Day 19. The arrival day of Lisbon is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Valencia, Stuttgart, Split, Oslo, Reykjavik].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Reykjavik to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Florence (Day 23 - 27).\n             |- The departure day of Lisbon is Day 23. The arrival day of Florence is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Seville, Valencia, Stuttgart, Split, Oslo, Reykjavik, Lisbon].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Lisbon to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Seville, Valencia, Stuttgart, Split, Oslo, Reykjavik, Lisbon, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-5:** Visit Valencia for 3 days.\n**Day 5:** Fly from Valencia to Stuttgart.\n**Day 5-9:** Visit Stuttgart for 5 days.\n**Day 9:** Fly from Stuttgart to Split.\n**Day 9-13:** Visit Split for 5 days.\n**Day 13:** Fly from Split to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Reykjavik.\n**Day 15-19:** Visit Reykjavik for 5 days.\n**Day 19:** Fly from Reykjavik to Lisbon.\n**Day 19-23:** Visit Lisbon for 5 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Tallinn**Amsterdam**Lisbon**Manchester**Rome**Edinburgh**Stockholm",
    "ground_truth_durations": "4**4**4**5**4**2**4**5",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Brussels",
        "Lisbon"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Rome"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Manchester",
        "Rome"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Brussels",
        "Rome"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You are going to attend a wedding in Manchester between day 14 and day 17. You plan to stay in Tallinn for 4 days. You plan to visit relatives in Tallinn between day 4 and day 7. You want to spend 2 days in Rome. You want to spend 4 days in Amsterdam. You would like to meet your friends at Amsterdam between day 7 and day 10 to tour together. You want to spend 4 days in Edinburgh. You would like to visit Stockholm for 5 days. From day 21 to day 25, there is a annual show you want to attend in Stockholm. You would like to visit Brussels for 4 days. You want to spend 5 days in Lisbon.\n\nHere are the cities that have direct flights:\nBrussels and Manchester, Amsterdam and Stockholm, Brussels and Stockholm, Rome and Stockholm, Brussels and Lisbon, Edinburgh and Stockholm, Brussels and Tallinn, Brussels and Edinburgh, Amsterdam and Edinburgh, Amsterdam and Lisbon, Amsterdam and Rome, Tallinn and Amsterdam, Lisbon and Stockholm, Rome and Edinburgh, Manchester and Rome, Manchester and Stockholm, Brussels and Rome, Lisbon and Rome, Tallinn and Stockholm, Lisbon and Manchester, Amsterdam and Manchester.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You are going to attend a wedding in Manchester between day 14 and day 17. You plan to stay in Tallinn for 4 days. You plan to visit relatives in Tallinn between day 4 and day 7. You want to spend 2 days in Rome. You want to spend 4 days in Amsterdam. You would like to meet your friends at Amsterdam between day 7 and day 10 to tour together. You want to spend 4 days in Edinburgh. You would like to visit Stockholm for 5 days. From day 21 to day 25, there is a annual show you want to attend in Stockholm. You would like to visit Brussels for 4 days. You want to spend 5 days in Lisbon.\n\nHere are the cities that have direct flights:\nfrom Brussels to Manchester, from Amsterdam to Stockholm, from Brussels to Stockholm, from Rome to Stockholm, from Brussels to Lisbon, from Edinburgh to Stockholm, from Brussels to Tallinn, from Brussels to Edinburgh, from Amsterdam to Edinburgh, from Amsterdam to Lisbon, from Amsterdam to Rome, from Tallinn to Amsterdam, from Lisbon to Stockholm, from Rome to Edinburgh, from Manchester to Rome, from Manchester to Stockholm, from Brussels to Rome, from Lisbon to Rome, from Tallinn to Stockholm, from Lisbon to Manchester, from Amsterdam to Manchester.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Tallinn.\n**Day 4-7:** Visit Tallinn for 4 days.\n**Day 7:** Fly from Tallinn to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Manchester.\n**Day 14-17:** Visit Manchester for 4 days.\n**Day 17:** Fly from Manchester to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Edinburgh.\n**Day 18-21:** Visit Edinburgh for 4 days.\n**Day 21:** Fly from Edinburgh to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_1126",
    "estimated_output_tokens": 3493,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Rome, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Edinburgh, Duration: 4 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Brussels, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 4 - 7.\n* City: Amsterdam, Fixed Schedule: Day 7 - 10.\n* City: Manchester, Fixed Schedule: Day 14 - 17.\n* City: Stockholm, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Rome, Duration: 2 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Brussels, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Edinburgh, Brussels, Lisbon] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 7).\n |- The departure day of Rome is Day 2. The arrival day of Tallinn is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Brussels, Lisbon] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 4 - 7).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Tallinn is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 7).\n |- The departure day of Edinburgh is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 7).\n |- The departure day of Brussels is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Brussels to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 7 - 10).\n   |- The departure day of Tallinn is Day 7. The arrival day of Amsterdam is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Tallinn].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Tallinn to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 14 - 17).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Manchester is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Tallinn, Amsterdam].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Edinburgh, Lisbon] and explore these options in order.\n       |- Try arranging to visit Rome from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 17).\n       |- The departure day of Rome is Day 11. The arrival day of Manchester is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Tallinn, Amsterdam, Rome].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Lisbon] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Rome to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 14 - 17).\n         |- The departure day of Edinburgh is Day 14. The arrival day of Manchester is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Tallinn, Amsterdam, Rome, Edinburgh].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Edinburgh to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Rome to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Amsterdam to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 17).\n       |- The departure day of Edinburgh is Day 13. The arrival day of Manchester is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Tallinn, Amsterdam, Edinburgh].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon] and explore these options in order.\n         |- Try arranging to visit Rome from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Edinburgh to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Edinburgh to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Amsterdam to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 17).\n       |- The departure day of Lisbon is Day 14. The arrival day of Manchester is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Brussels, Tallinn, Amsterdam, Lisbon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Lisbon to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 21 - 25).\n         |- The departure day of Manchester is Day 17. The arrival day of Stockholm is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Brussels, Tallinn, Amsterdam, Lisbon, Manchester].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Rome from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Manchester to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stockholm (Day 21 - 25).\n           |- The departure day of Rome is Day 18. The arrival day of Stockholm is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Brussels, Tallinn, Amsterdam, Lisbon, Manchester, Rome].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Rome to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Stockholm (Day 21 - 25).\n             |- The departure day of Edinburgh is Day 21. The arrival day of Stockholm is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Brussels, Tallinn, Amsterdam, Lisbon, Manchester, Rome, Edinburgh].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Edinburgh to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Brussels, Tallinn, Amsterdam, Lisbon, Manchester, Rome, Edinburgh, Stockholm].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Tallinn.\n**Day 4-7:** Visit Tallinn for 4 days.\n**Day 7:** Fly from Tallinn to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Manchester.\n**Day 14-17:** Visit Manchester for 4 days.\n**Day 17:** Fly from Manchester to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Edinburgh.\n**Day 18-21:** Visit Edinburgh for 4 days.\n**Day 21:** Fly from Edinburgh to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Athens**Geneva**Zurich**Tallinn**Vilnius**Milan**Krakow",
    "ground_truth_durations": "3**2**3**3**4**5**2**3",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Zurich",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You plan to stay in Krakow for 3 days. You would like to visit Tallinn for 4 days. You want to spend 2 days in Milan. You want to spend 2 days in Athens. You plan to stay in Zurich for 3 days. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 4 and day 6. You want to spend 3 days in Paris. You want to meet a friend in Paris between day 1 and day 3.\n\nHere are the cities that have direct flights:\nParis and Vilnius, from Krakow to Vilnius, Vilnius and Milan, Paris and Zurich, Athens and Vilnius, Athens and Geneva, Paris and Athens, Paris and Milan, from Tallinn to Vilnius, Geneva and Zurich, Paris and Krakow, Paris and Geneva, Zurich and Tallinn, Zurich and Vilnius, Athens and Milan, Paris and Tallinn, Athens and Zurich, Zurich and Krakow, Milan and Krakow, Zurich and Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You plan to stay in Krakow for 3 days. You would like to visit Tallinn for 4 days. You want to spend 2 days in Milan. You want to spend 2 days in Athens. You plan to stay in Zurich for 3 days. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 4 and day 6. You want to spend 3 days in Paris. You want to meet a friend in Paris between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Paris to Vilnius, from Krakow to Vilnius, from Vilnius to Milan, from Paris to Zurich, from Athens to Vilnius, from Athens to Geneva, from Paris to Athens, from Paris to Milan, from Tallinn to Vilnius, from Geneva to Zurich, from Paris to Krakow, from Paris to Geneva, from Zurich to Tallinn, from Zurich to Vilnius, from Athens to Milan, from Paris to Tallinn, from Athens to Zurich, from Zurich to Krakow, from Milan to Krakow, from Zurich to Milan.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Geneva.\n**Day 4-6:** Visit Geneva for 3 days.\n**Day 6:** Fly from Geneva to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Milan.\n**Day 15-16:** Visit Milan for 2 days.\n**Day 16:** Fly from Milan to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_1127",
    "estimated_output_tokens": 4204,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n* City: Zurich, Duration: 3 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 3.\n* City: Geneva, Fixed Schedule: Day 4 - 6.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n* City: Zurich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 4 - 6).\n |- The departure day of Paris is Day 3. The arrival day of Geneva is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Tallinn, Milan, Athens, Zurich] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Paris to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 6).\n   |- The departure day of Vilnius is Day 7. The arrival day of Geneva is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Paris to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 6).\n   |- The departure day of Krakow is Day 5. The arrival day of Geneva is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Paris to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 6).\n   |- The departure day of Tallinn is Day 6. The arrival day of Geneva is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 6).\n   |- The departure day of Milan is Day 4. The arrival day of Geneva is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 4 - 6).\n   |- The departure day of Athens is Day 4. The arrival day of Geneva is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Athens].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Athens to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Paris, Athens, Geneva].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Tallinn, Milan, Zurich] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Geneva to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Geneva to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Geneva to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Geneva to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Paris, Athens, Geneva, Zurich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Tallinn, Milan] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Athens, Geneva, Zurich, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn, Milan] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Vilnius to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Paris, Athens, Geneva, Zurich, Vilnius, Milan].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Milan to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Athens, Geneva, Zurich, Vilnius, Milan, Krakow].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Krakow to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Milan to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Zurich to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Paris, Athens, Geneva, Zurich, Krakow].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Milan] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Krakow to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Paris, Athens, Geneva, Zurich, Krakow, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Milan] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vilnius to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Milan from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Vilnius to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Paris, Athens, Geneva, Zurich, Krakow, Vilnius, Milan].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Milan to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Krakow to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Krakow to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Paris, Athens, Geneva, Zurich, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Milan] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Paris, Athens, Geneva, Zurich, Tallinn, Vilnius].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Milan] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Vilnius to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Milan from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Vilnius to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Paris, Athens, Geneva, Zurich, Tallinn, Vilnius, Milan].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Milan to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Paris, Athens, Geneva, Zurich, Tallinn, Vilnius, Milan, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Athens.\n**Day 3-4:** Visit Athens for 2 days.\n**Day 4:** Fly from Athens to Geneva.\n**Day 4-6:** Visit Geneva for 3 days.\n**Day 6:** Fly from Geneva to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Milan.\n**Day 15-16:** Visit Milan for 2 days.\n**Day 16:** Fly from Milan to Krakow.\n**Day 16-18:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Barcelona**Lisbon**Valencia**Krakow**Oslo**Tallinn**Copenhagen",
    "ground_truth_durations": "5**2**2**2**2**5**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Munich",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 2 days. You would like to visit Krakow for 2 days. You want to spend 2 days in Copenhagen. You have to attend a workshop in Copenhagen between day 14 and day 15. You would like to visit Munich for 5 days. You would like to meet your friends at Munich between day 1 and day 5 to tour together. You plan to stay in Oslo for 5 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 6 and day 7. You want to spend 2 days in Tallinn. You would like to visit Barcelona for 2 days. From day 5 to day 6, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nMunich and Krakow, Munich and Copenhagen, Barcelona and Oslo, Tallinn and Copenhagen, Valencia and Copenhagen, Lisbon and Oslo, Krakow and Oslo, Munich and Oslo, Valencia and Krakow, Lisbon and Krakow, Munich and Valencia, Oslo and Tallinn, Barcelona and Tallinn, Barcelona and Krakow, Barcelona and Lisbon, Munich and Lisbon, Munich and Barcelona, Krakow and Copenhagen, Oslo and Copenhagen, Lisbon and Valencia, Barcelona and Copenhagen, Barcelona and Valencia, Lisbon and Copenhagen, Munich and Tallinn.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 2 days. You would like to visit Krakow for 2 days. You want to spend 2 days in Copenhagen. You have to attend a workshop in Copenhagen between day 14 and day 15. You would like to visit Munich for 5 days. You would like to meet your friends at Munich between day 1 and day 5 to tour together. You plan to stay in Oslo for 5 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 6 and day 7. You want to spend 2 days in Tallinn. You would like to visit Barcelona for 2 days. From day 5 to day 6, there is a annual show you want to attend in Barcelona.\n\nHere are the cities that have direct flights:\nfrom Munich to Krakow, from Munich to Copenhagen, from Barcelona to Oslo, from Tallinn to Copenhagen, from Valencia to Copenhagen, from Lisbon to Oslo, from Krakow to Oslo, from Munich to Oslo, from Valencia to Krakow, from Lisbon to Krakow, from Munich to Valencia, from Oslo to Tallinn, from Barcelona to Tallinn, from Barcelona to Krakow, from Barcelona to Lisbon, from Munich to Lisbon, from Munich to Barcelona, from Krakow to Copenhagen, from Oslo to Copenhagen, from Lisbon to Valencia, from Barcelona to Copenhagen, from Barcelona to Valencia, from Lisbon to Copenhagen, from Munich to Tallinn.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Valencia.\n**Day 7-8:** Visit Valencia for 2 days.\n**Day 8:** Fly from Valencia to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Copenhagen.\n**Day 14-15:** Visit Copenhagen for 2 days.",
    "id": "trip_planning_example_1128",
    "estimated_output_tokens": 2032,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Oslo, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Tallinn, Duration: 2 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 6.\n* City: Lisbon, Fixed Schedule: Day 6 - 7.\n* City: Copenhagen, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 6).\n |- The departure day of Munich is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 6 - 7).\n   |- The departure day of Barcelona is Day 6. The arrival day of Lisbon is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 14 - 15).\n     |- The departure day of Lisbon is Day 7. The arrival day of Copenhagen is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Barcelona, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Krakow, Oslo, Tallinn] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 14 - 15).\n       |- The departure day of Valencia is Day 8. The arrival day of Copenhagen is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Munich, Barcelona, Lisbon, Valencia].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Oslo, Tallinn] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Valencia to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 14 - 15).\n         |- The departure day of Krakow is Day 9. The arrival day of Copenhagen is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Munich, Barcelona, Lisbon, Valencia, Krakow].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Tallinn] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Krakow to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 14 - 15).\n           |- The departure day of Oslo is Day 13. The arrival day of Copenhagen is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Munich, Barcelona, Lisbon, Valencia, Krakow, Oslo].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Oslo to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Copenhagen (Day 14 - 15).\n             |- The departure day of Tallinn is Day 14. The arrival day of Copenhagen is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Munich, Barcelona, Lisbon, Valencia, Krakow, Oslo, Tallinn].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Tallinn to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Munich, Barcelona, Lisbon, Valencia, Krakow, Oslo, Tallinn, Copenhagen].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Valencia.\n**Day 7-8:** Visit Valencia for 2 days.\n**Day 8:** Fly from Valencia to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Copenhagen.\n**Day 14-15:** Visit Copenhagen for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Bucharest**Lisbon**Helsinki**Vilnius**Split**Geneva**Mykonos",
    "ground_truth_durations": "5**2**2**3**3**3**5**2",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 17,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Santorini",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Vilnius. You would like to visit Split for 3 days. You would like to meet your friends at Split between day 11 and day 13 to tour together. You want to spend 2 days in Lisbon. You would like to visit Geneva for 5 days. You want to spend 2 days in Bucharest. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Santorini. You plan to stay in Mykonos for 2 days. You have to attend a workshop in Mykonos between day 17 and day 18.\n\nHere are the cities that have direct flights:\nHelsinki and Geneva, Lisbon and Helsinki, Geneva and Mykonos, Santorini and Geneva, Vilnius and Split, Lisbon and Geneva, Bucharest and Lisbon, Helsinki and Split, Helsinki and Vilnius, Split and Geneva, Santorini and Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Vilnius. You would like to visit Split for 3 days. You would like to meet your friends at Split between day 11 and day 13 to tour together. You want to spend 2 days in Lisbon. You would like to visit Geneva for 5 days. You want to spend 2 days in Bucharest. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Santorini. You plan to stay in Mykonos for 2 days. You have to attend a workshop in Mykonos between day 17 and day 18.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Geneva, from Lisbon to Helsinki, from Geneva to Mykonos, from Santorini to Geneva, from Vilnius to Split, from Lisbon to Geneva, from Bucharest to Lisbon, from Helsinki to Split, from Helsinki to Vilnius, from Split to Geneva, from Santorini to Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1129",
    "estimated_output_tokens": 8899,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Lisbon, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 11 - 13.\n* City: Mykonos, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Helsinki, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Geneva, Bucharest, Helsinki, Santorini] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Vilnius is Day 3. The arrival day of Split is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Geneva, Bucharest, Helsinki, Santorini] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vilnius to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vilnius to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Lisbon is Day 2. The arrival day of Split is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Bucharest, Helsinki, Santorini] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 11 - 13).\n   |- The departure day of Geneva is Day 6. The arrival day of Split is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Helsinki, Santorini] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lisbon to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 11 - 13).\n   |- The departure day of Helsinki is Day 4. The arrival day of Split is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Bucharest, Santorini] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 11 - 13).\n     |- The departure day of Vilnius is Day 6. The arrival day of Split is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lisbon, Helsinki, Vilnius].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vilnius to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Vilnius to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vilnius to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 11 - 13).\n     |- The departure day of Geneva is Day 8. The arrival day of Split is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Helsinki, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Geneva is Day 5. The arrival day of Split is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Bucharest, Helsinki, Santorini] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Geneva to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Bucharest is Day 2. The arrival day of Split is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Geneva, Helsinki, Santorini] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 11 - 13).\n   |- The departure day of Lisbon is Day 3. The arrival day of Split is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Lisbon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Helsinki, Santorini] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lisbon to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lisbon to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 11 - 13).\n     |- The departure day of Geneva is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Lisbon, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Helsinki, Santorini] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Geneva to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lisbon to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 11 - 13).\n     |- The departure day of Helsinki is Day 5. The arrival day of Split is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Lisbon, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Santorini] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 11 - 13).\n       |- The departure day of Vilnius is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Lisbon, Helsinki, Vilnius].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Vilnius to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Vilnius to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Helsinki to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 11 - 13).\n       |- The departure day of Geneva is Day 9. The arrival day of Split is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Lisbon, Helsinki, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Santorini] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Geneva to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Geneva to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Helsinki to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Helsinki is Day 3. The arrival day of Split is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Geneva, Bucharest, Santorini] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 11 - 13).\n   |- The departure day of Vilnius is Day 5. The arrival day of Split is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Geneva, Bucharest, Santorini] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vilnius to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 11 - 13).\n   |- The departure day of Geneva is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Geneva].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Bucharest, Santorini] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Geneva to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Geneva to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 11 - 13).\n |- The departure day of Santorini is Day 5. The arrival day of Split is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Geneva, Bucharest, Helsinki] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 11 - 13).\n   |- The departure day of Geneva is Day 9. The arrival day of Split is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Santorini, Geneva].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Bucharest, Helsinki] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Geneva to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Geneva to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 11 - 13).\n   |- The departure day of Bucharest is Day 6. The arrival day of Split is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon, Geneva, Helsinki] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Bucharest to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Bucharest to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 11 - 13).\n     |- The departure day of Lisbon is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Bucharest, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Helsinki] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 11 - 13).\n       |- The departure day of Geneva is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Bucharest, Lisbon, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Geneva to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 11 - 13).\n       |- The departure day of Helsinki is Day 9. The arrival day of Split is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Bucharest, Lisbon, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n         |- The departure day of Vilnius is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Bucharest, Lisbon, Helsinki, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n           |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Vilnius to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 17 - 18).\n           |- The departure day of Split is Day 13. The arrival day of Mykonos is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Bucharest, Lisbon, Helsinki, Vilnius, Split].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Split to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 17 - 18).\n             |- The departure day of Geneva is Day 17. The arrival day of Mykonos is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Santorini, Bucharest, Lisbon, Helsinki, Vilnius, Split, Geneva].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Mykonos.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Geneva to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Santorini, Bucharest, Lisbon, Helsinki, Vilnius, Split, Geneva, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Lisbon.\n**Day 6-7:** Visit Lisbon for 2 days.\n**Day 7:** Fly from Lisbon to Helsinki.\n**Day 7-9:** Visit Helsinki for 3 days.\n**Day 9:** Fly from Helsinki to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Geneva.\n**Day 13-17:** Visit Geneva for 5 days.\n**Day 17:** Fly from Geneva to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Manchester**Helsinki**Tallinn**Munich**Valencia**Naples**Mykonos",
    "ground_truth_durations": "5**5**3**4**3**5**3**3",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Manchester",
        "Naples"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Helsinki",
        "Munich"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 3 days. You want to spend 5 days in Hamburg. You are going to attend a wedding in Hamburg between day 1 and day 5. You want to spend 4 days in Tallinn. During day 11 and day 14, you have to attend a conference in Tallinn. You plan to stay in Mykonos for 3 days. You plan to visit relatives in Mykonos between day 22 and day 24. You would like to visit Helsinki for 3 days. You would like to visit Manchester for 5 days. You plan to stay in Naples for 3 days. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nHelsinki and Naples, Manchester and Helsinki, Naples and Mykonos, Helsinki and Tallinn, Munich and Mykonos, Munich and Naples, Hamburg and Manchester, Manchester and Naples, Munich and Valencia, Tallinn and Munich, Manchester and Munich, Helsinki and Munich, Valencia and Naples, Hamburg and Helsinki, Hamburg and Munich.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 3 days. You want to spend 5 days in Hamburg. You are going to attend a wedding in Hamburg between day 1 and day 5. You want to spend 4 days in Tallinn. During day 11 and day 14, you have to attend a conference in Tallinn. You plan to stay in Mykonos for 3 days. You plan to visit relatives in Mykonos between day 22 and day 24. You would like to visit Helsinki for 3 days. You would like to visit Manchester for 5 days. You plan to stay in Naples for 3 days. You would like to visit Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Naples, from Manchester to Helsinki, from Naples to Mykonos, from Helsinki to Tallinn, from Munich to Mykonos, from Munich to Naples, from Hamburg to Manchester, from Manchester to Naples, from Munich to Valencia, from Tallinn to Munich, from Manchester to Munich, from Helsinki to Munich, from Valencia to Naples, from Hamburg to Helsinki, from Hamburg to Munich.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Manchester.\n**Day 5-9:** Visit Manchester for 5 days.\n**Day 9:** Fly from Manchester to Helsinki.\n**Day 9-11:** Visit Helsinki for 3 days.\n**Day 11:** Fly from Helsinki to Tallinn.\n**Day 11-14:** Visit Tallinn for 4 days.\n**Day 14:** Fly from Tallinn to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Valencia.\n**Day 16-20:** Visit Valencia for 5 days.\n**Day 20:** Fly from Valencia to Naples.\n**Day 20-22:** Visit Naples for 3 days.\n**Day 22:** Fly from Naples to Mykonos.\n**Day 22-24:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1130",
    "estimated_output_tokens": 4775,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 3 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Helsinki, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Fixed Schedule: Day 11 - 14.\n* City: Mykonos, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Manchester, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 11 - 14).\n |- The departure day of Hamburg is Day 5. The arrival day of Tallinn is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Helsinki, Manchester, Naples, Valencia] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 11 - 14).\n   |- The departure day of Munich is Day 7. The arrival day of Tallinn is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Manchester, Naples, Valencia] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Munich to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Munich to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Munich to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 14).\n     |- The departure day of Naples is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Munich, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Manchester, Valencia] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Naples to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Munich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 14).\n     |- The departure day of Valencia is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Munich, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 11 - 14).\n   |- The departure day of Helsinki is Day 7. The arrival day of Tallinn is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Naples, Valencia] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 14).\n     |- The departure day of Munich is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Helsinki, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Naples, Valencia] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 14).\n       |- The departure day of Naples is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Helsinki, Munich, Naples].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Naples to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 14).\n       |- The departure day of Valencia is Day 13. The arrival day of Tallinn is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Helsinki to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 14).\n     |- The departure day of Naples is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Helsinki, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Valencia] and explore these options in order.\n       |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Naples to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 11 - 14).\n   |- The departure day of Manchester is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Hamburg, Manchester].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Helsinki, Naples, Valencia] and explore these options in order.\n     |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Manchester to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 14).\n     |- The departure day of Munich is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Manchester, Munich].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Munich to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Manchester to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 14).\n     |- The departure day of Helsinki is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Hamburg, Manchester, Helsinki].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Helsinki to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 22 - 24).\n       |- The departure day of Tallinn is Day 14. The arrival day of Mykonos is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Hamburg, Manchester, Helsinki, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Naples, Valencia] and explore these options in order.\n         |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Tallinn to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Mykonos (Day 22 - 24).\n         |- The departure day of Munich is Day 16. The arrival day of Mykonos is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Hamburg, Manchester, Helsinki, Tallinn, Munich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Valencia] and explore these options in order.\n           |- Try arranging to visit Naples from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Munich to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 22 - 24).\n           |- The departure day of Naples is Day 18. The arrival day of Mykonos is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Hamburg, Manchester, Helsinki, Tallinn, Munich, Naples].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Naples to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Munich to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 22 - 24).\n           |- The departure day of Valencia is Day 20. The arrival day of Mykonos is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Hamburg, Manchester, Helsinki, Tallinn, Munich, Valencia].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Valencia to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Mykonos (Day 22 - 24).\n             |- The departure day of Naples is Day 22. The arrival day of Mykonos is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Hamburg, Manchester, Helsinki, Tallinn, Munich, Valencia, Naples].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Mykonos.\n               |- Try arranging to visit Mykonos from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Naples to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Hamburg, Manchester, Helsinki, Tallinn, Munich, Valencia, Naples, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Manchester.\n**Day 5-9:** Visit Manchester for 5 days.\n**Day 9:** Fly from Manchester to Helsinki.\n**Day 9-11:** Visit Helsinki for 3 days.\n**Day 11:** Fly from Helsinki to Tallinn.\n**Day 11-14:** Visit Tallinn for 4 days.\n**Day 14:** Fly from Tallinn to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Valencia.\n**Day 16-20:** Visit Valencia for 5 days.\n**Day 20:** Fly from Valencia to Naples.\n**Day 20-22:** Visit Naples for 3 days.\n**Day 22:** Fly from Naples to Mykonos.\n**Day 22-24:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Milan**Edinburgh**Seville**Madrid**Lyon**Istanbul**Manchester",
    "ground_truth_durations": "5**5**5**5**3**3**4**2",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 24,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "London",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. From day 13 to day 17, there is a annual show you want to attend in Seville. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 5 and day 9. You would like to visit London for 5 days. You want to spend 3 days in Lyon. You plan to stay in Edinburgh for 5 days. You want to spend 3 days in Madrid. You want to spend 4 days in Istanbul. You plan to visit relatives in Istanbul between day 21 and day 24. You would like to visit Manchester for 2 days. You want to meet a friend in Manchester between day 24 and day 25.\n\nHere are the cities that have direct flights:\nLyon and Istanbul, London and Manchester, Milan and Istanbul, Milan and Manchester, Madrid and Lyon, Milan and Seville, Madrid and Istanbul, London and Milan, Seville and Manchester, Seville and Madrid, Edinburgh and Madrid, Madrid and Manchester, London and Madrid, Istanbul and Manchester, London and Istanbul, Edinburgh and Seville, London and Edinburgh, Edinburgh and Istanbul, Milan and Edinburgh, Milan and Madrid, London and Lyon.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. From day 13 to day 17, there is a annual show you want to attend in Seville. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 5 and day 9. You would like to visit London for 5 days. You want to spend 3 days in Lyon. You plan to stay in Edinburgh for 5 days. You want to spend 3 days in Madrid. You want to spend 4 days in Istanbul. You plan to visit relatives in Istanbul between day 21 and day 24. You would like to visit Manchester for 2 days. You want to meet a friend in Manchester between day 24 and day 25.\n\nHere are the cities that have direct flights:\nfrom Lyon to Istanbul, from London to Manchester, from Milan to Istanbul, from Milan to Manchester, from Madrid to Lyon, from Milan to Seville, from Madrid to Istanbul, from London to Milan, from Seville to Manchester, from Seville to Madrid, from Edinburgh to Madrid, from Madrid to Manchester, from London to Madrid, from Istanbul to Manchester, from London to Istanbul, from Edinburgh to Seville, from London to Edinburgh, from Edinburgh to Istanbul, from Milan to Edinburgh, from Milan to Madrid, from London to Lyon.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Edinburgh.\n**Day 9-13:** Visit Edinburgh for 5 days.\n**Day 13:** Fly from Edinburgh to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n**Day 17:** Fly from Seville to Madrid.\n**Day 17-19:** Visit Madrid for 3 days.\n**Day 19:** Fly from Madrid to Lyon.\n**Day 19-21:** Visit Lyon for 3 days.\n**Day 21:** Fly from Lyon to Istanbul.\n**Day 21-24:** Visit Istanbul for 4 days.\n**Day 24:** Fly from Istanbul to Manchester.\n**Day 24-25:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1131",
    "estimated_output_tokens": 2097,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: London, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Madrid, Duration: 3 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 5 - 9.\n* City: Seville, Fixed Schedule: Day 13 - 17.\n* City: Istanbul, Fixed Schedule: Day 21 - 24.\n* City: Manchester, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: London, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Lyon, Edinburgh, Madrid] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 9).\n |- The departure day of London is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 13 - 17).\n   |- The departure day of Milan is Day 9. The arrival day of Seville is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Edinburgh, Madrid] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Milan to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 13 - 17).\n     |- The departure day of Edinburgh is Day 13. The arrival day of Seville is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [London, Milan, Edinburgh].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 21 - 24).\n       |- The departure day of Seville is Day 17. The arrival day of Istanbul is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [London, Milan, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Madrid] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n         |- Check for direct flight from Seville to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n         |- Check for direct flight from Seville to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Istanbul (Day 21 - 24).\n         |- The departure day of Madrid is Day 19. The arrival day of Istanbul is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [London, Milan, Edinburgh, Seville, Madrid].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Madrid to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Istanbul (Day 21 - 24).\n           |- The departure day of Lyon is Day 21. The arrival day of Istanbul is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [London, Milan, Edinburgh, Seville, Madrid, Lyon].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Lyon to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 24 - 25).\n             |- The departure day of Istanbul is Day 24. The arrival day of Manchester is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [London, Milan, Edinburgh, Seville, Madrid, Lyon, Istanbul].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- Yes. The city with an arrival day of Day 24 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Istanbul to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [London, Milan, Edinburgh, Seville, Madrid, Lyon, Istanbul, Manchester].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Edinburgh.\n**Day 9-13:** Visit Edinburgh for 5 days.\n**Day 13:** Fly from Edinburgh to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n**Day 17:** Fly from Seville to Madrid.\n**Day 17-19:** Visit Madrid for 3 days.\n**Day 19:** Fly from Madrid to Lyon.\n**Day 19-21:** Visit Lyon for 3 days.\n**Day 21:** Fly from Lyon to Istanbul.\n**Day 21-24:** Visit Istanbul for 4 days.\n**Day 24:** Fly from Istanbul to Manchester.\n**Day 24-25:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Stockholm**Hamburg**Munich**Brussels**Valencia**Zurich**Mykonos",
    "ground_truth_durations": "3**4**3**5**4**2**4**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 19,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Zurich",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 12 and day 15 to tour together. You would like to visit Munich for 5 days. You plan to visit relatives in Munich between day 8 and day 12. You would like to visit Zurich for 4 days. You plan to stay in Valencia for 2 days. You would like to visit Stuttgart for 3 days. You plan to stay in Hamburg for 3 days. You want to spend 4 days in Stockholm. You want to meet a friend in Stockholm between day 3 and day 6. You would like to visit Mykonos for 2 days. You have to attend a workshop in Mykonos between day 19 and day 20.\n\nHere are the cities that have direct flights:\nStuttgart and Hamburg, Valencia and Zurich, Hamburg and Zurich, Hamburg and Munich, Munich and Valencia, Stockholm and Hamburg, Stockholm and Zurich, Munich and Zurich, Munich and Brussels, Stockholm and Munich, Brussels and Valencia, Stuttgart and Valencia, Stockholm and Brussels, Brussels and Zurich, Hamburg and Brussels, Stuttgart and Stockholm, Munich and Mykonos, Zurich and Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 4 days. You would like to meet your friends at Brussels between day 12 and day 15 to tour together. You would like to visit Munich for 5 days. You plan to visit relatives in Munich between day 8 and day 12. You would like to visit Zurich for 4 days. You plan to stay in Valencia for 2 days. You would like to visit Stuttgart for 3 days. You plan to stay in Hamburg for 3 days. You want to spend 4 days in Stockholm. You want to meet a friend in Stockholm between day 3 and day 6. You would like to visit Mykonos for 2 days. You have to attend a workshop in Mykonos between day 19 and day 20.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Hamburg, from Valencia to Zurich, from Hamburg to Zurich, from Hamburg to Munich, from Munich to Valencia, from Stockholm to Hamburg, from Stockholm to Zurich, from Munich to Zurich, from Munich to Brussels, from Stockholm to Munich, from Brussels to Valencia, from Stuttgart to Valencia, from Stockholm to Brussels, from Brussels to Zurich, from Hamburg to Brussels, from Stuttgart to Stockholm, from Munich to Mykonos, from Zurich to Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Hamburg.\n**Day 6-8:** Visit Hamburg for 3 days.\n**Day 8:** Fly from Hamburg to Munich.\n**Day 8-12:** Visit Munich for 5 days.\n**Day 12:** Fly from Munich to Brussels.\n**Day 12-15:** Visit Brussels for 4 days.\n**Day 15:** Fly from Brussels to Valencia.\n**Day 15-16:** Visit Valencia for 2 days.\n**Day 16:** Fly from Valencia to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1132",
    "estimated_output_tokens": 2966,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Zurich, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 3 - 6.\n* City: Munich, Fixed Schedule: Day 8 - 12.\n* City: Brussels, Fixed Schedule: Day 12 - 15.\n* City: Mykonos, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Valencia, Stuttgart, Hamburg] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 6).\n |- The departure day of Zurich is Day 4. The arrival day of Stockholm is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 6).\n |- The departure day of Valencia is Day 2. The arrival day of Stockholm is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart, Hamburg] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 3 - 6).\n   |- The departure day of Zurich is Day 5. The arrival day of Stockholm is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 6).\n |- The departure day of Stuttgart is Day 3. The arrival day of Stockholm is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 8 - 12).\n   |- The departure day of Stockholm is Day 6. The arrival day of Munich is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Valencia, Hamburg] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Zurich is Day 9. The arrival day of Munich is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Hamburg is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Stockholm, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Hamburg to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 12 - 15).\n       |- The departure day of Munich is Day 12. The arrival day of Brussels is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stuttgart, Stockholm, Hamburg, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Munich to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 19 - 20).\n         |- The departure day of Brussels is Day 15. The arrival day of Mykonos is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stuttgart, Stockholm, Hamburg, Munich, Brussels].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Valencia] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Brussels to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 19 - 20).\n           |- The departure day of Zurich is Day 18. The arrival day of Mykonos is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stuttgart, Stockholm, Hamburg, Munich, Brussels, Zurich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Zurich to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Brussels to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 19 - 20).\n           |- The departure day of Valencia is Day 16. The arrival day of Mykonos is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Stuttgart, Stockholm, Hamburg, Munich, Brussels, Valencia].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Valencia to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 19 - 20).\n             |- The departure day of Zurich is Day 19. The arrival day of Mykonos is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Stuttgart, Stockholm, Hamburg, Munich, Brussels, Valencia, Zurich].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Mykonos.\n               |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Zurich to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Stuttgart, Stockholm, Hamburg, Munich, Brussels, Valencia, Zurich, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stuttgart and visit Stuttgart for 3 days.\n**Day 3:** Fly from Stuttgart to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Hamburg.\n**Day 6-8:** Visit Hamburg for 3 days.\n**Day 8:** Fly from Hamburg to Munich.\n**Day 8-12:** Visit Munich for 5 days.\n**Day 12:** Fly from Munich to Brussels.\n**Day 12-15:** Visit Brussels for 4 days.\n**Day 15:** Fly from Brussels to Valencia.\n**Day 15-16:** Visit Valencia for 2 days.\n**Day 16:** Fly from Valencia to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Amsterdam**Krakow**Zurich**Madrid**Mykonos**Milan**Porto",
    "ground_truth_durations": "4**5**2**2**2**2**5**5",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Porto"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Zurich",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 12 and day 16. You would like to visit Zurich for 2 days. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 11 and day 12. You want to spend 5 days in Porto. You plan to stay in Madrid for 2 days. You want to spend 2 days in Krakow. During day 8 and day 9, you have to attend a conference in Krakow. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 1 and day 4. You want to spend 5 days in Amsterdam.\n\nHere are the cities that have direct flights:\nZurich and Porto, Amsterdam and Krakow, from Zurich to Florence, Amsterdam and Zurich, Madrid and Mykonos, Madrid and Porto, Krakow and Milan, Mykonos and Milan, Amsterdam and Madrid, Zurich and Mykonos, Amsterdam and Milan, Florence and Madrid, Milan and Porto, Madrid and Milan, Amsterdam and Mykonos, Krakow and Zurich, Florence and Amsterdam, Zurich and Milan, Amsterdam and Porto, Zurich and Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 12 and day 16. You would like to visit Zurich for 2 days. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 11 and day 12. You want to spend 5 days in Porto. You plan to stay in Madrid for 2 days. You want to spend 2 days in Krakow. During day 8 and day 9, you have to attend a conference in Krakow. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 1 and day 4. You want to spend 5 days in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Zurich to Porto, from Amsterdam to Krakow, from Zurich to Florence, from Amsterdam to Zurich, from Madrid to Mykonos, from Madrid to Porto, from Krakow to Milan, from Mykonos to Milan, from Amsterdam to Madrid, from Zurich to Mykonos, from Amsterdam to Milan, from Florence to Madrid, from Milan to Porto, from Madrid to Milan, from Amsterdam to Mykonos, from Krakow to Zurich, from Florence to Amsterdam, from Zurich to Milan, from Amsterdam to Porto, from Zurich to Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-8:** Visit Amsterdam for 5 days.\n**Day 8:** Fly from Amsterdam to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Milan.\n**Day 12-16:** Visit Milan for 5 days.\n**Day 16:** Fly from Milan to Porto.\n**Day 16-20:** Visit Porto for 5 days.",
    "id": "trip_planning_example_1133",
    "estimated_output_tokens": 2645,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Zurich, Duration: 2 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Porto, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Fixed Schedule: Day 8 - 9.\n* City: Mykonos, Fixed Schedule: Day 11 - 12.\n* City: Milan, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Zurich, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 8 - 9).\n |- The departure day of Florence is Day 4. The arrival day of Krakow is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Porto, Madrid, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 9).\n   |- The departure day of Madrid is Day 5. The arrival day of Krakow is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Porto, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 8 - 9).\n     |- The departure day of Porto is Day 9. The arrival day of Krakow is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 8 - 9).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Florence, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 11 - 12).\n     |- The departure day of Krakow is Day 9. The arrival day of Mykonos is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Amsterdam, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Porto, Madrid] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Krakow to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 11 - 12).\n       |- The departure day of Zurich is Day 10. The arrival day of Mykonos is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Amsterdam, Krakow, Zurich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Madrid] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Zurich to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Mykonos (Day 11 - 12).\n         |- The departure day of Porto is Day 14. The arrival day of Mykonos is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Madrid from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Zurich to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Mykonos (Day 11 - 12).\n         |- The departure day of Madrid is Day 11. The arrival day of Mykonos is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Amsterdam, Krakow, Zurich, Madrid].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Madrid to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 12 - 16).\n           |- The departure day of Mykonos is Day 12. The arrival day of Milan is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Florence, Amsterdam, Krakow, Zurich, Madrid, Mykonos].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Milan.\n             |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Mykonos to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Amsterdam, Krakow, Zurich, Madrid, Mykonos, Milan].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Milan to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Florence, Amsterdam, Krakow, Zurich, Madrid, Mykonos, Milan, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-8:** Visit Amsterdam for 5 days.\n**Day 8:** Fly from Amsterdam to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Milan.\n**Day 12-16:** Visit Milan for 5 days.\n**Day 16:** Fly from Milan to Porto.\n**Day 16-20:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Milan**Stuttgart**Venice**Nice**London**Florence",
    "ground_truth_durations": "4**3**5**4**5**4**4**2",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Nice"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Stuttgart",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in London for 4 days. You would like to visit Florence for 2 days. You want to spend 4 days in Nice. You would like to visit Venice for 5 days. You plan to stay in Milan for 5 days. You plan to stay in Stuttgart for 4 days. You want to spend 3 days in Vilnius.\n\nHere are the cities that have direct flights:\nVenice and Nice, Milan and Stuttgart, from Tallinn to Vilnius, Stuttgart and London, Nice and London, London and Florence, Milan and London, Vilnius and Milan, Venice and London, Stuttgart and Venice.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in London for 4 days. You would like to visit Florence for 2 days. You want to spend 4 days in Nice. You would like to visit Venice for 5 days. You plan to stay in Milan for 5 days. You plan to stay in Stuttgart for 4 days. You want to spend 3 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Venice to Nice, from Milan to Stuttgart, from Tallinn to Vilnius, from Stuttgart to London, from Nice to London, from London to Florence, from Milan to London, from Vilnius to Milan, from Venice to London, from Stuttgart to Venice.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-6:** Visit Vilnius for 3 days.\n**Day 6:** Fly from Vilnius to Milan.\n**Day 6-10:** Visit Milan for 5 days.\n**Day 10:** Fly from Milan to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to London.\n**Day 20-23:** Visit London for 4 days.\n**Day 23:** Fly from London to Florence.\n**Day 23-24:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1134",
    "estimated_output_tokens": 4180,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: London, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: London, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Nice, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Milan, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, London, Florence, Nice, Venice, Milan, Stuttgart, Vilnius] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Florence, Nice, Venice, Milan, Stuttgart, Vilnius] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Tallinn to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Florence, Nice, Venice, Milan, Stuttgart] and explore these options in order.\n     |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Tallinn, Vilnius, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Florence, Nice, Venice, Stuttgart] and explore these options in order.\n       |- Try arranging to visit London from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Tallinn, Vilnius, Milan, London].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Nice, Venice, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from London to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Tallinn, Vilnius, Milan, London, Florence].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Venice, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Nice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Florence to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Florence to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Florence to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Nice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from London to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from London to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from London to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Tallinn, Vilnius, Milan, Stuttgart].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Florence, Nice, Venice] and explore these options in order.\n         |- Try arranging to visit London from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Stuttgart to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, London].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Nice, Venice] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from London to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, London, Florence].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Venice] and explore these options in order.\n             |- Try arranging to visit Nice from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Florence to Nice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Florence to Venice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Nice from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from London to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from London to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Stuttgart to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Stuttgart to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Stuttgart to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Florence, Nice] and explore these options in order.\n           |- Try arranging to visit London from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Venice to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice, London].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Nice] and explore these options in order.\n             |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from London to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice, London, Florence].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n               |- Try arranging to visit Nice from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Florence to Nice.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Nice from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from London to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Venice to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Venice to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice, Nice].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London, Florence] and explore these options in order.\n             |- Try arranging to visit London from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Nice to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice, Nice, London].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from London to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Tallinn, Vilnius, Milan, Stuttgart, Venice, Nice, London, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Vilnius.\n**Day 4-6:** Visit Vilnius for 3 days.\n**Day 6:** Fly from Vilnius to Milan.\n**Day 6-10:** Visit Milan for 5 days.\n**Day 10:** Fly from Milan to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to London.\n**Day 20-23:** Visit London for 4 days.\n**Day 23:** Fly from London to Florence.\n**Day 23-24:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Paris**Vienna**Geneva**Santorini**Oslo**Lyon**Split",
    "ground_truth_durations": "5**5**2**3**3**2**3**5",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Florence",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You want to meet a friend in Geneva between day 10 and day 12. You want to spend 5 days in Paris. You plan to visit relatives in Paris between day 5 and day 9. You want to spend 2 days in Oslo. From day 14 to day 15, there is a annual show you want to attend in Oslo. You want to spend 3 days in Santorini. You would like to visit Florence for 5 days. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 17 and day 21. You plan to stay in Lyon for 3 days. You plan to stay in Vienna for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Santorini, Paris and Lyon, Florence and Vienna, Oslo and Split, Vienna and Split, Paris and Oslo, Oslo and Lyon, Geneva and Oslo, Paris and Geneva, Paris and Vienna, from Santorini to Oslo, Vienna and Geneva, Lyon and Split, Geneva and Santorini, Vienna and Oslo, Geneva and Split, Vienna and Lyon, Paris and Split, Florence and Paris.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Geneva. You want to meet a friend in Geneva between day 10 and day 12. You want to spend 5 days in Paris. You plan to visit relatives in Paris between day 5 and day 9. You want to spend 2 days in Oslo. From day 14 to day 15, there is a annual show you want to attend in Oslo. You want to spend 3 days in Santorini. You would like to visit Florence for 5 days. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 17 and day 21. You plan to stay in Lyon for 3 days. You plan to stay in Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Santorini, from Paris to Lyon, from Florence to Vienna, from Oslo to Split, from Vienna to Split, from Paris to Oslo, from Oslo to Lyon, from Geneva to Oslo, from Paris to Geneva, from Paris to Vienna, from Santorini to Oslo, from Vienna to Geneva, from Lyon to Split, from Geneva to Santorini, from Vienna to Oslo, from Geneva to Split, from Vienna to Lyon, from Paris to Split, from Florence to Paris.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Oslo.\n**Day 14-15:** Visit Oslo for 2 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.",
    "id": "trip_planning_example_1135",
    "estimated_output_tokens": 2540,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Santorini, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Lyon, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 5 - 9.\n* City: Geneva, Fixed Schedule: Day 10 - 12.\n* City: Oslo, Fixed Schedule: Day 14 - 15.\n* City: Split, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Florence, Lyon, Vienna] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Santorini is Day 3. The arrival day of Paris is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Lyon, Vienna] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Florence is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 10 - 12).\n   |- The departure day of Paris is Day 9. The arrival day of Geneva is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon, Vienna] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Paris to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Paris to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 10 - 12).\n     |- The departure day of Lyon is Day 11. The arrival day of Geneva is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vienna from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 10 - 12).\n     |- The departure day of Vienna is Day 10. The arrival day of Geneva is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Paris, Vienna].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vienna to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 14 - 15).\n       |- The departure day of Geneva is Day 12. The arrival day of Oslo is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Paris, Vienna, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Geneva to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 14 - 15).\n         |- The departure day of Santorini is Day 14. The arrival day of Oslo is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Paris, Vienna, Geneva, Santorini].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Santorini to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 17 - 21).\n           |- The departure day of Oslo is Day 15. The arrival day of Split is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Florence, Paris, Vienna, Geneva, Santorini, Oslo].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Oslo to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 17 - 21).\n             |- The departure day of Lyon is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Florence, Paris, Vienna, Geneva, Santorini, Oslo, Lyon].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n               |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Lyon to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Florence, Paris, Vienna, Geneva, Santorini, Oslo, Lyon, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Vienna.\n**Day 9-10:** Visit Vienna for 2 days.\n**Day 10:** Fly from Vienna to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Oslo.\n**Day 14-15:** Visit Oslo for 2 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Munich**Reykjavik**Copenhagen**Valencia**Porto**Lyon**Bucharest",
    "ground_truth_durations": "4**3**3**3**2**3**5**3",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Munich",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You plan to stay in Munich for 3 days. You plan to stay in Valencia for 2 days. You plan to stay in Dubrovnik for 4 days. You plan to stay in Porto for 3 days. During day 11 and day 13, you have to attend a conference in Porto. You plan to stay in Copenhagen for 3 days. You want to meet a friend in Copenhagen between day 8 and day 10. You want to spend 3 days in Bucharest. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 6 and day 8.\n\nHere are the cities that have direct flights:\nValencia and Bucharest, Valencia and Porto, Porto and Lyon, Copenhagen and Bucharest, Dubrovnik and Munich, Dubrovnik and Copenhagen, Munich and Reykjavik, Copenhagen and Porto, Munich and Porto, Reykjavik and Copenhagen, Lyon and Bucharest, Munich and Lyon, Munich and Bucharest, Valencia and Lyon, Copenhagen and Valencia, Munich and Valencia, Munich and Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You plan to stay in Munich for 3 days. You plan to stay in Valencia for 2 days. You plan to stay in Dubrovnik for 4 days. You plan to stay in Porto for 3 days. During day 11 and day 13, you have to attend a conference in Porto. You plan to stay in Copenhagen for 3 days. You want to meet a friend in Copenhagen between day 8 and day 10. You want to spend 3 days in Bucharest. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Valencia to Bucharest, from Valencia to Porto, from Porto to Lyon, from Copenhagen to Bucharest, from Dubrovnik to Munich, from Dubrovnik to Copenhagen, from Munich to Reykjavik, from Copenhagen to Porto, from Munich to Porto, from Reykjavik to Copenhagen, from Lyon to Bucharest, from Munich to Lyon, from Munich to Bucharest, from Valencia to Lyon, from Copenhagen to Valencia, from Munich to Valencia, from Munich to Copenhagen.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.",
    "id": "trip_planning_example_1136",
    "estimated_output_tokens": 4946,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 6 - 8.\n* City: Copenhagen, Fixed Schedule: Day 8 - 10.\n* City: Porto, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Munich, Valencia, Dubrovnik, Bucharest] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 8).\n |- The departure day of Lyon is Day 5. The arrival day of Reykjavik is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Valencia, Dubrovnik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 6 - 8).\n   |- The departure day of Bucharest is Day 7. The arrival day of Reykjavik is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 8).\n |- The departure day of Munich is Day 3. The arrival day of Reykjavik is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Dubrovnik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 6 - 8).\n   |- The departure day of Lyon is Day 7. The arrival day of Reykjavik is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Munich to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 6 - 8).\n   |- The departure day of Valencia is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Munich, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik, Bucharest] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Valencia to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 8).\n     |- The departure day of Lyon is Day 8. The arrival day of Reykjavik is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 8).\n     |- The departure day of Bucharest is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Munich, Valencia, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Bucharest to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Munich to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 6 - 8).\n   |- The departure day of Bucharest is Day 5. The arrival day of Reykjavik is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Bucharest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 8).\n |- The departure day of Valencia is Day 2. The arrival day of Reykjavik is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Munich, Dubrovnik, Bucharest] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 6 - 8).\n   |- The departure day of Lyon is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 6 - 8).\n   |- The departure day of Bucharest is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Munich, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Bucharest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 8).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Munich, Valencia, Bucharest] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 8).\n   |- The departure day of Munich is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 8 - 10).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Munich, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Reykjavik to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 11 - 13).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Munich, Reykjavik, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Bucharest] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Copenhagen to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Copenhagen to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n         |- The departure day of Valencia is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Munich, Reykjavik, Copenhagen, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Valencia to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Dubrovnik, Munich, Reykjavik, Copenhagen, Valencia, Porto].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Porto to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Munich, Reykjavik, Copenhagen, Valencia, Porto, Lyon].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Lyon to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Dubrovnik, Munich, Reykjavik, Copenhagen, Valencia, Porto, Lyon, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Valencia.\n**Day 10-11:** Visit Valencia for 2 days.\n**Day 11:** Fly from Valencia to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Krakow**Dublin**Hamburg**Zurich**Florence**Amsterdam**Bucharest",
    "ground_truth_durations": "2**5**3**5**3**4**3**5",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Florence",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 2 and day 6 to tour together. You plan to stay in Dublin for 3 days. You would like to visit Valencia for 2 days. You want to spend 4 days in Florence. You want to spend 3 days in Zurich. You are going to attend a wedding in Zurich between day 12 and day 14. You plan to stay in Bucharest for 5 days. You plan to visit relatives in Bucharest between day 19 and day 23. You plan to stay in Hamburg for 5 days.\n\nHere are the cities that have direct flights:\nValencia and Bucharest, Krakow and Zurich, Amsterdam and Bucharest, Valencia and Dublin, Valencia and Amsterdam, Hamburg and Amsterdam, Valencia and Zurich, Hamburg and Zurich, Zurich and Bucharest, Dublin and Hamburg, Krakow and Amsterdam, from Zurich to Florence, Valencia and Krakow, Hamburg and Bucharest, Zurich and Amsterdam, Dublin and Zurich, Dublin and Amsterdam, Dublin and Bucharest, Krakow and Dublin, Florence and Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 2 and day 6 to tour together. You plan to stay in Dublin for 3 days. You would like to visit Valencia for 2 days. You want to spend 4 days in Florence. You want to spend 3 days in Zurich. You are going to attend a wedding in Zurich between day 12 and day 14. You plan to stay in Bucharest for 5 days. You plan to visit relatives in Bucharest between day 19 and day 23. You plan to stay in Hamburg for 5 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Bucharest, from Krakow to Zurich, from Amsterdam to Bucharest, from Valencia to Dublin, from Valencia to Amsterdam, from Hamburg to Amsterdam, from Valencia to Zurich, from Hamburg to Zurich, from Zurich to Bucharest, from Dublin to Hamburg, from Krakow to Amsterdam, from Zurich to Florence, from Valencia to Krakow, from Hamburg to Bucharest, from Zurich to Amsterdam, from Dublin to Zurich, from Dublin to Amsterdam, from Dublin to Bucharest, from Krakow to Dublin, from Florence to Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Krakow.\n**Day 2-6:** Visit Krakow for 5 days.\n**Day 6:** Fly from Krakow to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Hamburg.\n**Day 8-12:** Visit Hamburg for 5 days.\n**Day 12:** Fly from Hamburg to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Florence.\n**Day 14-17:** Visit Florence for 4 days.\n**Day 17:** Fly from Florence to Amsterdam.\n**Day 17-19:** Visit Amsterdam for 3 days.\n**Day 19:** Fly from Amsterdam to Bucharest.\n**Day 19-23:** Visit Bucharest for 5 days.",
    "id": "trip_planning_example_1137",
    "estimated_output_tokens": 3212,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Dublin, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Hamburg, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 2 - 6.\n* City: Zurich, Fixed Schedule: Day 12 - 14.\n* City: Bucharest, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Dublin, Valencia, Florence, Hamburg] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 2 - 6).\n |- The departure day of Amsterdam is Day 3. The arrival day of Krakow is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 2 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Krakow is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 2 - 6).\n |- The departure day of Valencia is Day 2. The arrival day of Krakow is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Zurich (Day 12 - 14).\n   |- The departure day of Krakow is Day 6. The arrival day of Zurich is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dublin, Florence, Hamburg] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 12 - 14).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Zurich is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Krakow, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Florence, Hamburg] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Amsterdam to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 12 - 14).\n     |- The departure day of Dublin is Day 8. The arrival day of Zurich is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Krakow, Dublin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Florence, Hamburg] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dublin to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 12 - 14).\n       |- The departure day of Amsterdam is Day 10. The arrival day of Zurich is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Krakow, Dublin, Amsterdam].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Hamburg] and explore these options in order.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Amsterdam to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Amsterdam to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dublin to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 12 - 14).\n       |- The departure day of Hamburg is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Krakow, Dublin, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 19 - 23).\n         |- The departure day of Zurich is Day 14. The arrival day of Bucharest is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Krakow, Dublin, Hamburg, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Florence] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Zurich to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 19 - 23).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Bucharest is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Krakow, Dublin, Hamburg, Zurich, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Amsterdam to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Zurich to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 19 - 23).\n           |- The departure day of Florence is Day 17. The arrival day of Bucharest is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Krakow, Dublin, Hamburg, Zurich, Florence].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Florence to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 19 - 23).\n             |- The departure day of Amsterdam is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Valencia, Krakow, Dublin, Hamburg, Zurich, Florence, Amsterdam].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Amsterdam to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Valencia, Krakow, Dublin, Hamburg, Zurich, Florence, Amsterdam, Bucharest].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Krakow.\n**Day 2-6:** Visit Krakow for 5 days.\n**Day 6:** Fly from Krakow to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Hamburg.\n**Day 8-12:** Visit Hamburg for 5 days.\n**Day 12:** Fly from Hamburg to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Florence.\n**Day 14-17:** Visit Florence for 4 days.\n**Day 17:** Fly from Florence to Amsterdam.\n**Day 17-19:** Visit Amsterdam for 3 days.\n**Day 19:** Fly from Amsterdam to Bucharest.\n**Day 19-23:** Visit Bucharest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Rome**Reykjavik**Oslo**Riga**Tallinn**Warsaw**Split",
    "ground_truth_durations": "3**4**3**2**5**3**3**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Reykjavik",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You would like to visit Rome for 4 days. You plan to stay in Warsaw for 3 days. During day 15 and day 17, you have to attend a conference in Warsaw. You want to spend 2 days in Oslo. You plan to stay in Split for 4 days. You have to attend a workshop in Split between day 17 and day 20. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 6 and day 8. You want to spend 3 days in Valencia. From day 1 to day 3, there is a annual show you want to attend in Valencia. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, Valencia and Rome, Oslo and Tallinn, Valencia and Warsaw, Riga and Warsaw, Rome and Oslo, Tallinn and Warsaw, from Rome to Riga, Oslo and Riga, Rome and Warsaw, Warsaw and Split, Rome and Reykjavik, Reykjavik and Warsaw, Rome and Split, Oslo and Warsaw, Oslo and Split, Reykjavik and Oslo.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You would like to visit Rome for 4 days. You plan to stay in Warsaw for 3 days. During day 15 and day 17, you have to attend a conference in Warsaw. You want to spend 2 days in Oslo. You plan to stay in Split for 4 days. You have to attend a workshop in Split between day 17 and day 20. You want to spend 3 days in Reykjavik. You plan to visit relatives in Reykjavik between day 6 and day 8. You want to spend 3 days in Valencia. From day 1 to day 3, there is a annual show you want to attend in Valencia. You would like to visit Riga for 5 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, from Valencia to Rome, from Oslo to Tallinn, from Valencia to Warsaw, from Riga to Warsaw, from Rome to Oslo, from Tallinn to Warsaw, from Rome to Riga, from Oslo to Riga, from Rome to Warsaw, from Warsaw to Split, from Rome to Reykjavik, from Reykjavik to Warsaw, from Rome to Split, from Oslo to Warsaw, from Oslo to Split, from Reykjavik to Oslo.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Split.\n**Day 17-20:** Visit Split for 4 days.",
    "id": "trip_planning_example_1138",
    "estimated_output_tokens": 2453,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Oslo, Duration: 2 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 3.\n* City: Reykjavik, Fixed Schedule: Day 6 - 8.\n* City: Warsaw, Fixed Schedule: Day 15 - 17.\n* City: Split, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Oslo, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 8).\n |- The departure day of Valencia is Day 3. The arrival day of Reykjavik is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Rome, Oslo, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 6 - 8).\n   |- The departure day of Rome is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Warsaw (Day 15 - 17).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Warsaw is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Rome, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Riga] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Reykjavik to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Reykjavik to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 15 - 17).\n       |- The departure day of Oslo is Day 9. The arrival day of Warsaw is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Valencia, Rome, Reykjavik, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Oslo to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 15 - 17).\n         |- The departure day of Tallinn is Day 11. The arrival day of Warsaw is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Rome, Reykjavik, Oslo, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Tallinn to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 15 - 17).\n         |- The departure day of Riga is Day 13. The arrival day of Warsaw is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Rome, Reykjavik, Oslo, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 15 - 17).\n           |- The departure day of Tallinn is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Rome, Reykjavik, Oslo, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Tallinn to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 17 - 20).\n             |- The departure day of Warsaw is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Rome, Reykjavik, Oslo, Riga, Tallinn, Warsaw].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n               |- Try arranging to visit Split from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Warsaw to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Valencia, Rome, Reykjavik, Oslo, Riga, Tallinn, Warsaw, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Riga.\n**Day 9-13:** Visit Riga for 5 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Split.\n**Day 17-20:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Budapest**Madrid**Berlin**Riga**Vilnius**Split**Lyon",
    "ground_truth_durations": "3**3**5**5**4**2**2**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You want to meet a friend in Riga between day 13 and day 16. You would like to visit Split for 2 days. You want to spend 3 days in Hamburg. You would like to visit Madrid for 5 days. You plan to stay in Budapest for 3 days. During day 3 and day 5, you have to attend a conference in Budapest. You would like to visit Vilnius for 2 days. You want to spend 2 days in Lyon. You would like to visit Berlin for 5 days. You are going to attend a wedding in Berlin between day 9 and day 13.\n\nHere are the cities that have direct flights:\nBudapest and Madrid, Madrid and Split, Vilnius and Split, Hamburg and Madrid, Berlin and Split, Hamburg and Split, Budapest and Berlin, Madrid and Lyon, Berlin and Riga, Split and Lyon, Berlin and Vilnius, Madrid and Berlin, from Riga to Hamburg, from Riga to Vilnius, Hamburg and Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You want to meet a friend in Riga between day 13 and day 16. You would like to visit Split for 2 days. You want to spend 3 days in Hamburg. You would like to visit Madrid for 5 days. You plan to stay in Budapest for 3 days. During day 3 and day 5, you have to attend a conference in Budapest. You would like to visit Vilnius for 2 days. You want to spend 2 days in Lyon. You would like to visit Berlin for 5 days. You are going to attend a wedding in Berlin between day 9 and day 13.\n\nHere are the cities that have direct flights:\nfrom Budapest to Madrid, from Madrid to Split, from Vilnius to Split, from Hamburg to Madrid, from Berlin to Split, from Hamburg to Split, from Budapest to Berlin, from Madrid to Lyon, from Berlin to Riga, from Split to Lyon, from Berlin to Vilnius, from Madrid to Berlin, from Riga to Hamburg, from Riga to Vilnius, from Hamburg to Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Budapest.\n**Day 3-5:** Visit Budapest for 3 days.\n**Day 5:** Fly from Budapest to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.\n**Day 17:** Fly from Vilnius to Split.\n**Day 17-18:** Visit Split for 2 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-19:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1139",
    "estimated_output_tokens": 2612,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Split, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Vilnius, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 3 - 5.\n* City: Berlin, Fixed Schedule: Day 9 - 13.\n* City: Riga, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Hamburg, Madrid, Vilnius, Lyon] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 5).\n |- The departure day of Split is Day 2. The arrival day of Budapest is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Madrid, Vilnius, Lyon] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 3 - 5).\n   |- The departure day of Lyon is Day 3. The arrival day of Budapest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Split, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 5).\n |- The departure day of Hamburg is Day 3. The arrival day of Budapest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 9 - 13).\n   |- The departure day of Budapest is Day 5. The arrival day of Berlin is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Madrid, Vilnius, Lyon] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Budapest to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 9 - 13).\n     |- The departure day of Madrid is Day 9. The arrival day of Berlin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Budapest, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Madrid to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 13 - 16).\n       |- The departure day of Berlin is Day 13. The arrival day of Riga is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Hamburg, Budapest, Madrid, Berlin].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Berlin to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Hamburg, Budapest, Madrid, Berlin, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Vilnius, Lyon] and explore these options in order.\n           |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Riga to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Riga to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Hamburg, Budapest, Madrid, Berlin, Riga, Vilnius].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n             |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Vilnius to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Hamburg, Budapest, Madrid, Berlin, Riga, Vilnius, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Split to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Hamburg, Budapest, Madrid, Berlin, Riga, Vilnius, Split, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Budapest.\n**Day 3-5:** Visit Budapest for 3 days.\n**Day 5:** Fly from Budapest to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Riga.\n**Day 13-16:** Visit Riga for 4 days.\n**Day 16:** Fly from Riga to Vilnius.\n**Day 16-17:** Visit Vilnius for 2 days.\n**Day 17:** Fly from Vilnius to Split.\n**Day 17-18:** Visit Split for 2 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-19:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Krakow**Vilnius**Oslo**Reykjavik**Stockholm**Santorini**Venice",
    "ground_truth_durations": "3**3**2**5**2**2**2**4",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Santorini",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You would like to visit Venice for 4 days. You would like to visit Stockholm for 2 days. You plan to stay in Santorini for 2 days. You want to spend 2 days in Reykjavik. You want to spend 2 days in Vilnius. You plan to stay in Valencia for 3 days. You want to spend 3 days in Krakow.\n\nHere are the cities that have direct flights:\nVilnius and Oslo, Reykjavik and Stockholm, Krakow and Stockholm, from Santorini to Oslo, from Krakow to Vilnius, Krakow and Oslo, Oslo and Venice, Valencia and Krakow, from Stockholm to Santorini, Oslo and Reykjavik, Oslo and Stockholm, Santorini and Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 5 days. You would like to visit Venice for 4 days. You would like to visit Stockholm for 2 days. You plan to stay in Santorini for 2 days. You want to spend 2 days in Reykjavik. You want to spend 2 days in Vilnius. You plan to stay in Valencia for 3 days. You want to spend 3 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Oslo, from Reykjavik to Stockholm, from Krakow to Stockholm, from Santorini to Oslo, from Krakow to Vilnius, from Krakow to Oslo, from Oslo to Venice, from Valencia to Krakow, from Stockholm to Santorini, from Oslo to Reykjavik, from Oslo to Stockholm, from Santorini to Venice.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Krakow.\n**Day 3-5:** Visit Krakow for 3 days.\n**Day 5:** Fly from Krakow to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Oslo.\n**Day 6-10:** Visit Oslo for 5 days.\n**Day 10:** Fly from Oslo to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Stockholm.\n**Day 11-12:** Visit Stockholm for 2 days.\n**Day 12:** Fly from Stockholm to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Venice.\n**Day 13-16:** Visit Venice for 4 days.",
    "id": "trip_planning_example_1140",
    "estimated_output_tokens": 23440,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules: None.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Santorini to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Stockholm, Santorini, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Santorini to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Santorini to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Santorini to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Santorini to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Reykjavik, Stockholm].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Stockholm to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Oslo, Reykjavik, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Oslo, Reykjavik, Stockholm, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia, Krakow] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Venice to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Santorini to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Oslo to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Venice to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Santorini, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stockholm to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Santorini to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Santorini, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Oslo to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Santorini, Oslo, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Stockholm, Santorini, Oslo, Reykjavik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Reykjavik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Reykjavik to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Reykjavik to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Santorini to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stockholm, Santorini, Venice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Venice to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Santorini to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Santorini to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Santorini to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Santorini to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, Oslo, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Oslo, Stockholm].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Stockholm to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Oslo, Reykjavik, Stockholm].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Stockholm to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Stockholm to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stockholm to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stockholm to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Reykjavik, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Vilnius, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Reykjavik, Stockholm].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Santorini, Vilnius, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Stockholm to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Stockholm to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Reykjavik, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Vilnius, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Santorini to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Reykjavik, Stockholm, Santorini, Oslo].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Oslo to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Reykjavik, Stockholm, Santorini, Oslo, Venice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Valencia, Krakow] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Venice to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Oslo to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Santorini to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Reykjavik, Stockholm, Santorini, Venice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Vilnius, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Venice to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Venice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Venice to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Santorini to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Santorini to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Santorini to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stockholm to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stockholm to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Reykjavik, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Reykjavik, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vilnius, Oslo, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Reykjavik, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Oslo, Stockholm].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Reykjavik, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Stockholm to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Vilnius, Oslo, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vilnius, Oslo, Stockholm, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Krakow] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Venice to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Santorini to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stockholm to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Oslo, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Vilnius, Oslo, Reykjavik, Stockholm].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Valencia, Krakow] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Stockholm to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Stockholm to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Vilnius, Oslo, Reykjavik, Stockholm, Santorini].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Krakow] and explore these options in order.\n           |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Santorini to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Vilnius, Oslo, Reykjavik, Stockholm, Santorini, Venice].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Krakow] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Venice to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Venice to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Santorini to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Santorini to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stockholm to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stockholm to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: None.\n |- No following fixed schedules. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Reykjavik, Vilnius, Krakow] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: None.\n   |- No following fixed schedules. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Krakow].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Reykjavik, Vilnius] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Krakow to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Krakow, Oslo].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Reykjavik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Oslo to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Valencia, Krakow, Oslo, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Reykjavik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Oslo to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Krakow, Oslo, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Reykjavik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stockholm to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stockholm to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Krakow, Oslo, Stockholm, Santorini].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Vilnius] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Santorini to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Valencia, Krakow, Oslo, Stockholm, Santorini, Venice].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Venice to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Venice to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Santorini to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Santorini to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stockholm to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Oslo to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Krakow, Oslo, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Vilnius] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Krakow, Oslo, Reykjavik, Stockholm].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Vilnius] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Stockholm to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Valencia, Krakow, Oslo, Reykjavik, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius] and explore these options in order.\n             |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Santorini to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Valencia, Krakow, Oslo, Reykjavik, Stockholm, Santorini, Venice].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Venice to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Santorini to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Stockholm to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Oslo to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Krakow to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Krakow, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Santorini, Reykjavik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Stockholm to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Valencia, Krakow, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Reykjavik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Krakow, Stockholm, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Vilnius] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Oslo to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Valencia, Krakow, Stockholm, Santorini, Oslo, Venice].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Venice to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Venice to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Oslo to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Valencia, Krakow, Stockholm, Santorini, Oslo, Reykjavik].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius] and explore these options in order.\n             |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Reykjavik to Venice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Reykjavik to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Oslo to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Valencia, Krakow, Stockholm, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Reykjavik, Vilnius] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Venice to Oslo.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Venice to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Venice to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Santorini to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Santorini to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stockholm to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stockholm to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Krakow to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Krakow to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Venice, Stockholm, Santorini, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vilnius to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Krakow, Vilnius, Oslo].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Oslo to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Krakow, Vilnius, Oslo, Venice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Venice to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Venice to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Venice to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Oslo to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Krakow, Vilnius, Oslo, Stockholm].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Santorini, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Stockholm to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Valencia, Krakow, Vilnius, Oslo, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Santorini to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Valencia, Krakow, Vilnius, Oslo, Stockholm, Santorini, Venice].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Venice to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Santorini to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Stockholm to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Krakow, Vilnius, Oslo, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Stockholm, Santorini] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Reykjavik to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Valencia, Krakow, Vilnius, Oslo, Reykjavik, Stockholm].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Santorini] and explore these options in order.\n             |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Stockholm to Venice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Stockholm to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Valencia, Krakow, Vilnius, Oslo, Reykjavik, Stockholm, Santorini].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n               |- Try arranging to visit Venice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Santorini to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Valencia, Krakow, Vilnius, Oslo, Reykjavik, Stockholm, Santorini, Venice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Krakow.\n**Day 3-5:** Visit Krakow for 3 days.\n**Day 5:** Fly from Krakow to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Oslo.\n**Day 6-10:** Visit Oslo for 5 days.\n**Day 10:** Fly from Oslo to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Stockholm.\n**Day 11-12:** Visit Stockholm for 2 days.\n**Day 12:** Fly from Stockholm to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Venice.\n**Day 13-16:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Bucharest**Vienna**Florence**Munich**Helsinki**Stockholm**Stuttgart",
    "ground_truth_durations": "5**5**4**4**3**5**2**2",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Manchester",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 5 and day 9. You would like to visit Stuttgart for 2 days. You would like to meet your friends at Stuttgart between day 22 and day 23 to tour together. You want to spend 5 days in Helsinki. You plan to stay in Florence for 4 days. You plan to stay in Manchester for 5 days. You want to spend 3 days in Munich. You want to spend 2 days in Stockholm. You want to spend 4 days in Vienna.\n\nHere are the cities that have direct flights:\nManchester and Vienna, Vienna and Munich, Helsinki and Stockholm, Manchester and Stuttgart, Munich and Helsinki, Vienna and Stockholm, Vienna and Stuttgart, Bucharest and Munich, Manchester and Stockholm, Stockholm and Stuttgart, Vienna and Helsinki, Manchester and Munich, Vienna and Florence, from Florence to Munich, Bucharest and Vienna, Manchester and Helsinki, Munich and Stockholm, Manchester and Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 5 days. You have to attend a workshop in Bucharest between day 5 and day 9. You would like to visit Stuttgart for 2 days. You would like to meet your friends at Stuttgart between day 22 and day 23 to tour together. You want to spend 5 days in Helsinki. You plan to stay in Florence for 4 days. You plan to stay in Manchester for 5 days. You want to spend 3 days in Munich. You want to spend 2 days in Stockholm. You want to spend 4 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Manchester to Vienna, from Vienna to Munich, from Helsinki to Stockholm, from Manchester to Stuttgart, from Munich to Helsinki, from Vienna to Stockholm, from Vienna to Stuttgart, from Bucharest to Munich, from Manchester to Stockholm, from Stockholm to Stuttgart, from Vienna to Helsinki, from Manchester to Munich, from Vienna to Florence, from Florence to Munich, from Bucharest to Vienna, from Manchester to Helsinki, from Munich to Stockholm, from Manchester to Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Manchester and visit Manchester for 5 days.\n**Day 5:** Fly from Manchester to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Florence.\n**Day 12-15:** Visit Florence for 4 days.\n**Day 15:** Fly from Florence to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Stockholm.\n**Day 21-22:** Visit Stockholm for 2 days.\n**Day 22:** Fly from Stockholm to Stuttgart.\n**Day 22-23:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_1141",
    "estimated_output_tokens": 4827,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Helsinki, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Stockholm, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Florence, Manchester, Munich, Stockholm, Vienna] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 9).\n |- The departure day of Helsinki is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Helsinki to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 9).\n |- The departure day of Florence is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Manchester, Munich, Stockholm, Vienna] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 9).\n   |- The departure day of Munich is Day 6. The arrival day of Bucharest is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 9).\n |- The departure day of Manchester is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Manchester to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 22 - 23).\n   |- The departure day of Bucharest is Day 9. The arrival day of Stuttgart is Day 22. Day 9 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Manchester, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Florence, Munich, Stockholm, Vienna] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Bucharest to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Bucharest to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 22 - 23).\n     |- The departure day of Munich is Day 11. The arrival day of Stuttgart is Day 22. Day 11 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Manchester, Bucharest, Munich].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Florence, Stockholm, Vienna] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Munich to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 22 - 23).\n       |- The departure day of Helsinki is Day 15. The arrival day of Stuttgart is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Manchester, Bucharest, Munich, Helsinki].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Vienna] and explore these options in order.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Helsinki to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 22 - 23).\n         |- The departure day of Stockholm is Day 16. The arrival day of Stuttgart is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Manchester, Bucharest, Munich, Helsinki, Stockholm].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Vienna] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Stockholm to Vienna.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Helsinki to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Munich to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Munich to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 22 - 23).\n       |- The departure day of Stockholm is Day 12. The arrival day of Stuttgart is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Manchester, Bucharest, Munich, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Florence, Vienna] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Stockholm to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stockholm to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stockholm to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Munich to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Bucharest to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 22 - 23).\n     |- The departure day of Vienna is Day 12. The arrival day of Stuttgart is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Manchester, Bucharest, Vienna].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Florence, Munich, Stockholm] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Vienna to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 22 - 23).\n       |- The departure day of Helsinki is Day 16. The arrival day of Stuttgart is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Manchester, Bucharest, Vienna, Helsinki].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Munich, Stockholm] and explore these options in order.\n         |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Helsinki to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Helsinki to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 22 - 23).\n         |- The departure day of Stockholm is Day 17. The arrival day of Stuttgart is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Manchester, Bucharest, Vienna, Helsinki, Stockholm].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Munich] and explore these options in order.\n           |- Try arranging to visit Florence from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Stockholm to Munich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Vienna to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 22 - 23).\n       |- The departure day of Florence is Day 15. The arrival day of Stuttgart is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Manchester, Bucharest, Vienna, Florence].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Munich, Stockholm] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Florence to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Florence to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 22 - 23).\n         |- The departure day of Munich is Day 17. The arrival day of Stuttgart is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Manchester, Bucharest, Vienna, Florence, Munich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Stockholm] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Munich to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 22 - 23).\n           |- The departure day of Helsinki is Day 21. The arrival day of Stuttgart is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Manchester, Bucharest, Vienna, Florence, Munich, Helsinki].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Helsinki to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Stuttgart (Day 22 - 23).\n             |- The departure day of Stockholm is Day 22. The arrival day of Stuttgart is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Manchester, Bucharest, Vienna, Florence, Munich, Helsinki, Stockholm].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Stockholm to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Manchester, Bucharest, Vienna, Florence, Munich, Helsinki, Stockholm, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Manchester and visit Manchester for 5 days.\n**Day 5:** Fly from Manchester to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Florence.\n**Day 12-15:** Visit Florence for 4 days.\n**Day 15:** Fly from Florence to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Stockholm.\n**Day 21-22:** Visit Stockholm for 2 days.\n**Day 22:** Fly from Stockholm to Stuttgart.\n**Day 22-23:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Lisbon**Rome**Dubrovnik**Manchester**Barcelona**Edinburgh**Copenhagen",
    "ground_truth_durations": "4**5**4**3**2**3**5**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Manchester",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Rome",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 4 days. You would like to visit Dubrovnik for 3 days. You would like to visit Rome for 4 days. You want to spend 2 days in Manchester. You plan to visit relatives in Manchester between day 13 and day 14. You plan to stay in Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 20 and day 21. You want to spend 5 days in Lisbon. From day 4 to day 8, there is a annual show you want to attend in Lisbon. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 14 and day 16. You want to spend 5 days in Edinburgh.\n\nHere are the cities that have direct flights:\nRome and Barcelona, Manchester and Barcelona, Rome and Edinburgh, Lisbon and Manchester, Krakow and Manchester, Edinburgh and Copenhagen, Krakow and Lisbon, Krakow and Barcelona, Barcelona and Edinburgh, Rome and Copenhagen, Manchester and Copenhagen, Barcelona and Copenhagen, Rome and Dubrovnik, Krakow and Copenhagen, Dubrovnik and Manchester, Krakow and Edinburgh, Lisbon and Barcelona, Lisbon and Rome, Lisbon and Copenhagen, Dubrovnik and Barcelona, Dubrovnik and Copenhagen, Rome and Manchester.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 4 days. You would like to visit Dubrovnik for 3 days. You would like to visit Rome for 4 days. You want to spend 2 days in Manchester. You plan to visit relatives in Manchester between day 13 and day 14. You plan to stay in Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 20 and day 21. You want to spend 5 days in Lisbon. From day 4 to day 8, there is a annual show you want to attend in Lisbon. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 14 and day 16. You want to spend 5 days in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Rome to Barcelona, from Manchester to Barcelona, from Rome to Edinburgh, from Lisbon to Manchester, from Krakow to Manchester, from Edinburgh to Copenhagen, from Krakow to Lisbon, from Krakow to Barcelona, from Barcelona to Edinburgh, from Rome to Copenhagen, from Manchester to Copenhagen, from Barcelona to Copenhagen, from Rome to Dubrovnik, from Krakow to Copenhagen, from Dubrovnik to Manchester, from Krakow to Edinburgh, from Lisbon to Barcelona, from Lisbon to Rome, from Lisbon to Copenhagen, from Dubrovnik to Barcelona, from Dubrovnik to Copenhagen, from Rome to Manchester.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Lisbon.\n**Day 4-8:** Visit Lisbon for 5 days.\n**Day 8:** Fly from Lisbon to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Barcelona.\n**Day 14-16:** Visit Barcelona for 3 days.\n**Day 16:** Fly from Barcelona to Edinburgh.\n**Day 16-20:** Visit Edinburgh for 5 days.\n**Day 20:** Fly from Edinburgh to Copenhagen.\n**Day 20-21:** Visit Copenhagen for 2 days.",
    "id": "trip_planning_example_1142",
    "estimated_output_tokens": 2094,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Edinburgh, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 4 - 8.\n* City: Manchester, Fixed Schedule: Day 13 - 14.\n* City: Barcelona, Fixed Schedule: Day 14 - 16.\n* City: Copenhagen, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Dubrovnik, Rome, Edinburgh] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 8).\n |- The departure day of Krakow is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Krakow to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 13 - 14).\n   |- The departure day of Lisbon is Day 8. The arrival day of Manchester is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Krakow, Lisbon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Lisbon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Lisbon to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 13 - 14).\n     |- The departure day of Rome is Day 11. The arrival day of Manchester is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Krakow, Lisbon, Rome].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 13 - 14).\n       |- The departure day of Dubrovnik is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Lisbon, Rome, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Dubrovnik to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Barcelona (Day 14 - 16).\n         |- The departure day of Manchester is Day 14. The arrival day of Barcelona is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Krakow, Lisbon, Rome, Dubrovnik, Manchester].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Barcelona.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Manchester to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Copenhagen (Day 20 - 21).\n           |- The departure day of Barcelona is Day 16. The arrival day of Copenhagen is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Lisbon, Rome, Dubrovnik, Manchester, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Barcelona to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Copenhagen (Day 20 - 21).\n             |- The departure day of Edinburgh is Day 20. The arrival day of Copenhagen is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Lisbon, Rome, Dubrovnik, Manchester, Barcelona, Edinburgh].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Edinburgh to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Krakow, Lisbon, Rome, Dubrovnik, Manchester, Barcelona, Edinburgh, Copenhagen].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Lisbon.\n**Day 4-8:** Visit Lisbon for 5 days.\n**Day 8:** Fly from Lisbon to Rome.\n**Day 8-11:** Visit Rome for 4 days.\n**Day 11:** Fly from Rome to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Barcelona.\n**Day 14-16:** Visit Barcelona for 3 days.\n**Day 16:** Fly from Barcelona to Edinburgh.\n**Day 16-20:** Visit Edinburgh for 5 days.\n**Day 20:** Fly from Edinburgh to Copenhagen.\n**Day 20-21:** Visit Copenhagen for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Madrid**Dubrovnik**Dublin**Valencia**Bucharest**Lisbon**Nice",
    "ground_truth_durations": "5**4**2**3**4**2**2**5",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Paris",
        "Dublin"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 2 days. You want to spend 2 days in Lisbon. You want to spend 4 days in Valencia. You have to attend a workshop in Valencia between day 11 and day 14. You plan to stay in Nice for 5 days. During day 16 and day 20, you have to attend a conference in Nice. You want to spend 4 days in Madrid. From day 5 to day 8, there is a annual show you want to attend in Madrid. You want to spend 2 days in Bucharest. You want to spend 3 days in Dublin. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nValencia and Lisbon, Madrid and Nice, Dublin and Nice, Madrid and Dubrovnik, Dublin and Valencia, Madrid and Valencia, Madrid and Lisbon, Madrid and Bucharest, Lisbon and Nice, Madrid and Dublin, Paris and Nice, Paris and Dublin, Bucharest and Lisbon, Paris and Valencia, Valencia and Bucharest, Dublin and Lisbon, Paris and Bucharest, Dublin and Bucharest, Paris and Lisbon, Paris and Madrid, Dubrovnik and Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 2 days. You want to spend 2 days in Lisbon. You want to spend 4 days in Valencia. You have to attend a workshop in Valencia between day 11 and day 14. You plan to stay in Nice for 5 days. During day 16 and day 20, you have to attend a conference in Nice. You want to spend 4 days in Madrid. From day 5 to day 8, there is a annual show you want to attend in Madrid. You want to spend 2 days in Bucharest. You want to spend 3 days in Dublin. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 1 and day 5 to tour together.\n\nHere are the cities that have direct flights:\nfrom Valencia to Lisbon, from Madrid to Nice, from Dublin to Nice, from Madrid to Dubrovnik, from Dublin to Valencia, from Madrid to Valencia, from Madrid to Lisbon, from Madrid to Bucharest, from Lisbon to Nice, from Madrid to Dublin, from Paris to Nice, from Paris to Dublin, from Bucharest to Lisbon, from Paris to Valencia, from Valencia to Bucharest, from Dublin to Lisbon, from Paris to Bucharest, from Dublin to Bucharest, from Paris to Lisbon, from Paris to Madrid, from Dubrovnik to Dublin.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Dubrovnik.\n**Day 8-9:** Visit Dubrovnik for 2 days.\n**Day 9:** Fly from Dubrovnik to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Lisbon.\n**Day 15-16:** Visit Lisbon for 2 days.\n**Day 16:** Fly from Lisbon to Nice.\n**Day 16-20:** Visit Nice for 5 days.",
    "id": "trip_planning_example_1143",
    "estimated_output_tokens": 2397,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Bucharest, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Fixed Schedule: Day 11 - 14.\n* City: Nice, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 8).\n |- The departure day of Paris is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Paris to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 11 - 14).\n   |- The departure day of Madrid is Day 8. The arrival day of Valencia is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Paris, Madrid].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon, Bucharest, Dublin] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Madrid to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 11 - 14).\n     |- The departure day of Dubrovnik is Day 9. The arrival day of Valencia is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Paris, Madrid, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Bucharest, Dublin] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dubrovnik to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dubrovnik to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dubrovnik to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 11 - 14).\n       |- The departure day of Dublin is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Paris, Madrid, Dubrovnik, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dublin to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 16 - 20).\n         |- The departure day of Valencia is Day 14. The arrival day of Nice is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Paris, Madrid, Dubrovnik, Dublin, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Bucharest] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Valencia to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 16 - 20).\n           |- The departure day of Lisbon is Day 15. The arrival day of Nice is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Paris, Madrid, Dubrovnik, Dublin, Valencia, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Lisbon to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Valencia to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 16 - 20).\n           |- The departure day of Bucharest is Day 15. The arrival day of Nice is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Paris, Madrid, Dubrovnik, Dublin, Valencia, Bucharest].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Bucharest to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Nice (Day 16 - 20).\n             |- The departure day of Lisbon is Day 16. The arrival day of Nice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Paris, Madrid, Dubrovnik, Dublin, Valencia, Bucharest, Lisbon].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Nice.\n               |- Try arranging to visit Nice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Lisbon to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Paris, Madrid, Dubrovnik, Dublin, Valencia, Bucharest, Lisbon, Nice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Dubrovnik.\n**Day 8-9:** Visit Dubrovnik for 2 days.\n**Day 9:** Fly from Dubrovnik to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Lisbon.\n**Day 15-16:** Visit Lisbon for 2 days.\n**Day 16:** Fly from Lisbon to Nice.\n**Day 16-20:** Visit Nice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Dublin**Porto**Edinburgh**Prague**Valencia**Krakow**Vilnius",
    "ground_truth_durations": "3**4**2**4**4**3**4**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Helsinki",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. You want to spend 2 days in Porto. From day 6 to day 7, there is a annual show you want to attend in Porto. You would like to visit Prague for 4 days. You want to spend 3 days in Helsinki. You would like to visit Edinburgh for 4 days. You are going to attend a wedding in Edinburgh between day 7 and day 10. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 13 and day 15 to tour together. You plan to stay in Krakow for 4 days. You want to spend 3 days in Vilnius.\n\nHere are the cities that have direct flights:\nHelsinki and Vilnius, Prague and Krakow, Dublin and Porto, Helsinki and Dublin, Prague and Valencia, Porto and Edinburgh, Helsinki and Prague, Edinburgh and Prague, Dublin and Prague, Dublin and Valencia, Dublin and Edinburgh, Helsinki and Edinburgh, Valencia and Krakow, from Krakow to Vilnius, Porto and Valencia, Dublin and Krakow, Edinburgh and Krakow, Helsinki and Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 4 days. You want to spend 2 days in Porto. From day 6 to day 7, there is a annual show you want to attend in Porto. You would like to visit Prague for 4 days. You want to spend 3 days in Helsinki. You would like to visit Edinburgh for 4 days. You are going to attend a wedding in Edinburgh between day 7 and day 10. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 13 and day 15 to tour together. You plan to stay in Krakow for 4 days. You want to spend 3 days in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Vilnius, from Prague to Krakow, from Dublin to Porto, from Helsinki to Dublin, from Prague to Valencia, from Porto to Edinburgh, from Helsinki to Prague, from Edinburgh to Prague, from Dublin to Prague, from Dublin to Valencia, from Dublin to Edinburgh, from Helsinki to Edinburgh, from Valencia to Krakow, from Krakow to Vilnius, from Porto to Valencia, from Dublin to Krakow, from Edinburgh to Krakow, from Helsinki to Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Dublin.\n**Day 3-6:** Visit Dublin for 4 days.\n**Day 6:** Fly from Dublin to Porto.\n**Day 6-7:** Visit Porto for 2 days.\n**Day 7:** Fly from Porto to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Prague.\n**Day 10-13:** Visit Prague for 4 days.\n**Day 13:** Fly from Prague to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.\n**Day 18:** Fly from Krakow to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1144",
    "estimated_output_tokens": 2955,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Prague, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Krakow, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 6 - 7.\n* City: Edinburgh, Fixed Schedule: Day 7 - 10.\n* City: Valencia, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Dublin, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Prague, Helsinki, Krakow, Vilnius] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 7).\n |- The departure day of Dublin is Day 4. The arrival day of Porto is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Helsinki, Krakow, Vilnius] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dublin to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 6 - 7).\n   |- The departure day of Prague is Day 7. The arrival day of Porto is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dublin to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dublin to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 6 - 7).\n   |- The departure day of Krakow is Day 7. The arrival day of Porto is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dublin to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 7).\n |- The departure day of Prague is Day 4. The arrival day of Porto is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Helsinki, Krakow, Vilnius] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 6 - 7).\n   |- The departure day of Krakow is Day 7. The arrival day of Porto is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 7).\n |- The departure day of Helsinki is Day 3. The arrival day of Porto is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Prague, Krakow, Vilnius] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Helsinki to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 6 - 7).\n   |- The departure day of Dublin is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 7 - 10).\n     |- The departure day of Porto is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Dublin, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Porto to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 13 - 15).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Valencia is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Helsinki, Dublin, Porto, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Krakow, Vilnius] and explore these options in order.\n         |- Try arranging to visit Prague from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 13 - 15).\n         |- The departure day of Prague is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Dublin, Porto, Edinburgh, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Prague to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Helsinki, Dublin, Porto, Edinburgh, Prague, Valencia].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Valencia to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Helsinki, Dublin, Porto, Edinburgh, Prague, Valencia, Krakow].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Krakow to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Helsinki, Dublin, Porto, Edinburgh, Prague, Valencia, Krakow, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Dublin.\n**Day 3-6:** Visit Dublin for 4 days.\n**Day 6:** Fly from Dublin to Porto.\n**Day 6-7:** Visit Porto for 2 days.\n**Day 7:** Fly from Porto to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Prague.\n**Day 10-13:** Visit Prague for 4 days.\n**Day 13:** Fly from Prague to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Krakow.\n**Day 15-18:** Visit Krakow for 4 days.\n**Day 18:** Fly from Krakow to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Prague**Bucharest**Santorini**Amsterdam**Tallinn**Frankfurt**Manchester",
    "ground_truth_durations": "4**4**4**4**5**5**5**4",
    "num_cities": 8,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 4,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Prague",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 5 days. You plan to visit relatives in Tallinn between day 17 and day 21. You plan to stay in Manchester for 4 days. You would like to meet your friends at Manchester between day 25 and day 28 to tour together. You would like to visit Bucharest for 4 days. You would like to visit Lisbon for 4 days. You plan to stay in Frankfurt for 5 days. You plan to stay in Amsterdam for 5 days. You plan to stay in Santorini for 4 days. You would like to visit Prague for 4 days. You are going to attend a wedding in Prague between day 4 and day 7.\n\nHere are the cities that have direct flights:\nSantorini and Manchester, Tallinn and Frankfurt, Prague and Frankfurt, Amsterdam and Frankfurt, Bucharest and Frankfurt, Santorini and Amsterdam, Frankfurt and Manchester, Bucharest and Manchester, Bucharest and Santorini, Amsterdam and Manchester, Prague and Tallinn, Lisbon and Prague, Bucharest and Amsterdam, Lisbon and Manchester, Amsterdam and Tallinn, Lisbon and Amsterdam, Prague and Amsterdam, Lisbon and Bucharest, Prague and Manchester, Lisbon and Frankfurt, Prague and Bucharest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 5 days. You plan to visit relatives in Tallinn between day 17 and day 21. You plan to stay in Manchester for 4 days. You would like to meet your friends at Manchester between day 25 and day 28 to tour together. You would like to visit Bucharest for 4 days. You would like to visit Lisbon for 4 days. You plan to stay in Frankfurt for 5 days. You plan to stay in Amsterdam for 5 days. You plan to stay in Santorini for 4 days. You would like to visit Prague for 4 days. You are going to attend a wedding in Prague between day 4 and day 7.\n\nHere are the cities that have direct flights:\nfrom Santorini to Manchester, from Tallinn to Frankfurt, from Prague to Frankfurt, from Amsterdam to Frankfurt, from Bucharest to Frankfurt, from Santorini to Amsterdam, from Frankfurt to Manchester, from Bucharest to Manchester, from Bucharest to Santorini, from Amsterdam to Manchester, from Prague to Tallinn, from Lisbon to Prague, from Bucharest to Amsterdam, from Lisbon to Manchester, from Amsterdam to Tallinn, from Lisbon to Amsterdam, from Prague to Amsterdam, from Lisbon to Bucharest, from Prague to Manchester, from Lisbon to Frankfurt, from Prague to Bucharest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 28 days:\n\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Santorini.\n**Day 10-13:** Visit Santorini for 4 days.\n**Day 13:** Fly from Santorini to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.\n**Day 17:** Fly from Amsterdam to Tallinn.\n**Day 17-21:** Visit Tallinn for 5 days.\n**Day 21:** Fly from Tallinn to Frankfurt.\n**Day 21-25:** Visit Frankfurt for 5 days.\n**Day 25:** Fly from Frankfurt to Manchester.\n**Day 25-28:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1145",
    "estimated_output_tokens": 3065,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Bucharest, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 4 - 7.\n* City: Tallinn, Fixed Schedule: Day 17 - 21.\n* City: Manchester, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Frankfurt, Amsterdam, Santorini] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Bucharest is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Bucharest to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 4 - 7).\n |- The departure day of Lisbon is Day 4. The arrival day of Prague is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lisbon to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 17 - 21).\n   |- The departure day of Prague is Day 7. The arrival day of Tallinn is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lisbon, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Frankfurt, Amsterdam, Santorini] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 17 - 21).\n     |- The departure day of Bucharest is Day 10. The arrival day of Tallinn is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Prague, Bucharest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Amsterdam, Santorini] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Bucharest to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 17 - 21).\n       |- The departure day of Frankfurt is Day 14. The arrival day of Tallinn is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Prague, Bucharest, Frankfurt].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Frankfurt to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Frankfurt to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Bucharest to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 17 - 21).\n       |- The departure day of Amsterdam is Day 14. The arrival day of Tallinn is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Prague, Bucharest, Amsterdam].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Santorini] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Amsterdam to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 17 - 21).\n         |- The departure day of Frankfurt is Day 18. The arrival day of Tallinn is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Amsterdam to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 17 - 21).\n       |- The departure day of Santorini is Day 13. The arrival day of Tallinn is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Prague, Bucharest, Santorini].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Santorini to Frankfurt.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Santorini to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 17 - 21).\n         |- The departure day of Amsterdam is Day 17. The arrival day of Tallinn is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lisbon, Prague, Bucharest, Santorini, Amsterdam].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Amsterdam to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Manchester (Day 25 - 28).\n           |- The departure day of Tallinn is Day 21. The arrival day of Manchester is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Lisbon, Prague, Bucharest, Santorini, Amsterdam, Tallinn].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Tallinn to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 25 - 28).\n             |- The departure day of Frankfurt is Day 25. The arrival day of Manchester is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Lisbon, Prague, Bucharest, Santorini, Amsterdam, Tallinn, Frankfurt].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n               |- Check for direct flight from Frankfurt to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Lisbon, Prague, Bucharest, Santorini, Amsterdam, Tallinn, Frankfurt, Manchester].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lisbon and visit Lisbon for 4 days.\n**Day 4:** Fly from Lisbon to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Bucharest.\n**Day 7-10:** Visit Bucharest for 4 days.\n**Day 10:** Fly from Bucharest to Santorini.\n**Day 10-13:** Visit Santorini for 4 days.\n**Day 13:** Fly from Santorini to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.\n**Day 17:** Fly from Amsterdam to Tallinn.\n**Day 17-21:** Visit Tallinn for 5 days.\n**Day 21:** Fly from Tallinn to Frankfurt.\n**Day 21-25:** Visit Frankfurt for 5 days.\n**Day 25:** Fly from Frankfurt to Manchester.\n**Day 25-28:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Venice**London**Budapest**Geneva**Porto**Lisbon**Krakow",
    "ground_truth_durations": "3**4**2**2**5**2**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "London",
        "Krakow"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Venice",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 3 days in Dublin. You plan to stay in Budapest for 2 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 13 and day 14. You would like to visit Geneva for 5 days. You plan to stay in London for 2 days. You would like to meet your friends at London between day 6 and day 7 to tour together. You plan to stay in Krakow for 2 days. You have to attend a workshop in Krakow between day 14 and day 15. You plan to stay in Venice for 4 days. From day 3 to day 6, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nLondon and Krakow, London and Lisbon, Budapest and Geneva, Budapest and Lisbon, Lisbon and Krakow, Porto and Lisbon, Geneva and Lisbon, London and Geneva, Dublin and Lisbon, Dublin and Krakow, Geneva and Porto, Dublin and London, Dublin and Budapest, Dublin and Porto, London and Budapest, Dublin and Venice, Venice and London, Dublin and Geneva, Venice and Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Porto for 2 days. You want to spend 3 days in Dublin. You plan to stay in Budapest for 2 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 13 and day 14. You would like to visit Geneva for 5 days. You plan to stay in London for 2 days. You would like to meet your friends at London between day 6 and day 7 to tour together. You plan to stay in Krakow for 2 days. You have to attend a workshop in Krakow between day 14 and day 15. You plan to stay in Venice for 4 days. From day 3 to day 6, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom London to Krakow, from London to Lisbon, from Budapest to Geneva, from Budapest to Lisbon, from Lisbon to Krakow, from Porto to Lisbon, from Geneva to Lisbon, from London to Geneva, from Dublin to Lisbon, from Dublin to Krakow, from Geneva to Porto, from Dublin to London, from Dublin to Budapest, from Dublin to Porto, from London to Budapest, from Dublin to Venice, from Venice to London, from Dublin to Geneva, from Venice to Lisbon.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Geneva.\n**Day 8-12:** Visit Geneva for 5 days.\n**Day 12:** Fly from Geneva to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Krakow.\n**Day 14-15:** Visit Krakow for 2 days.",
    "id": "trip_planning_example_1146",
    "estimated_output_tokens": 2438,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Geneva, Duration: 5 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 3 - 6.\n* City: London, Fixed Schedule: Day 6 - 7.\n* City: Lisbon, Fixed Schedule: Day 13 - 14.\n* City: Krakow, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Porto, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Dublin, Budapest, Geneva] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 6).\n |- The departure day of Porto is Day 2. The arrival day of Venice is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Budapest, Geneva] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 6 - 7).\n   |- The departure day of Venice is Day 6. The arrival day of London is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: London.\n     |- Try arranging to visit London from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Venice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 13 - 14).\n     |- The departure day of London is Day 7. The arrival day of Lisbon is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Venice, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Budapest, Geneva] and explore these options in order.\n       |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from London to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from London to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 13 - 14).\n       |- The departure day of Budapest is Day 8. The arrival day of Lisbon is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dublin, Venice, London, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Geneva] and explore these options in order.\n         |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Budapest to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Budapest to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 13 - 14).\n         |- The departure day of Geneva is Day 12. The arrival day of Lisbon is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Dublin, Venice, London, Budapest, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 13 - 14).\n           |- The departure day of Porto is Day 13. The arrival day of Lisbon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Dublin, Venice, London, Budapest, Geneva, Porto].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Porto to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 14 - 15).\n             |- The departure day of Lisbon is Day 14. The arrival day of Krakow is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Dublin, Venice, London, Budapest, Geneva, Porto, Lisbon].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Krakow.\n               |- Try arranging to visit Krakow from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Lisbon to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Dublin, Venice, London, Budapest, Geneva, Porto, Lisbon, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to London.\n**Day 6-7:** Visit London for 2 days.\n**Day 7:** Fly from London to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Geneva.\n**Day 8-12:** Visit Geneva for 5 days.\n**Day 12:** Fly from Geneva to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Krakow.\n**Day 14-15:** Visit Krakow for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Brussels**Milan**Split**Helsinki**Dubrovnik**Frankfurt**Vilnius",
    "ground_truth_durations": "5**3**4**4**3**2**3**5",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 16,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Brussels. You would like to visit Helsinki for 3 days. You would like to visit Split for 4 days. You would like to visit Dubrovnik for 2 days. You would like to visit Istanbul for 5 days. From day 1 to day 5, there is a annual show you want to attend in Istanbul. You plan to stay in Milan for 4 days. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 18 and day 22. You would like to visit Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 16 and day 18.\n\nHere are the cities that have direct flights:\nMilan and Frankfurt, Split and Frankfurt, Milan and Split, Brussels and Vilnius, Brussels and Helsinki, Istanbul and Brussels, Milan and Vilnius, Brussels and Milan, Istanbul and Helsinki, Helsinki and Vilnius, Helsinki and Dubrovnik, Split and Vilnius, from Dubrovnik to Istanbul, Istanbul and Milan, Helsinki and Frankfurt, Istanbul and Vilnius, Split and Helsinki, Milan and Helsinki, Istanbul and Frankfurt, from Brussels to Frankfurt, Dubrovnik and Frankfurt, Frankfurt and Vilnius.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Brussels. You would like to visit Helsinki for 3 days. You would like to visit Split for 4 days. You would like to visit Dubrovnik for 2 days. You would like to visit Istanbul for 5 days. From day 1 to day 5, there is a annual show you want to attend in Istanbul. You plan to stay in Milan for 4 days. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 18 and day 22. You would like to visit Frankfurt for 3 days. You are going to attend a wedding in Frankfurt between day 16 and day 18.\n\nHere are the cities that have direct flights:\nfrom Milan to Frankfurt, from Split to Frankfurt, from Milan to Split, from Brussels to Vilnius, from Brussels to Helsinki, from Istanbul to Brussels, from Milan to Vilnius, from Brussels to Milan, from Istanbul to Helsinki, from Helsinki to Vilnius, from Helsinki to Dubrovnik, from Split to Vilnius, from Dubrovnik to Istanbul, from Istanbul to Milan, from Helsinki to Frankfurt, from Istanbul to Vilnius, from Split to Helsinki, from Milan to Helsinki, from Istanbul to Frankfurt, from Brussels to Frankfurt, from Dubrovnik to Frankfurt, from Frankfurt to Vilnius.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Brussels.\n**Day 5-7:** Visit Brussels for 3 days.\n**Day 7:** Fly from Brussels to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Split.\n**Day 10-13:** Visit Split for 4 days.\n**Day 13:** Fly from Split to Helsinki.\n**Day 13-15:** Visit Helsinki for 3 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.\n**Day 16:** Fly from Dubrovnik to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.\n**Day 18:** Fly from Frankfurt to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1147",
    "estimated_output_tokens": 3286,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Milan, Duration: 4 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 5.\n* City: Frankfurt, Fixed Schedule: Day 16 - 18.\n* City: Vilnius, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Brussels, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 16 - 18).\n |- The departure day of Istanbul is Day 5. The arrival day of Frankfurt is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Helsinki, Split, Dubrovnik, Milan] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Istanbul to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 16 - 18).\n   |- The departure day of Brussels is Day 7. The arrival day of Frankfurt is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Brussels].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Split, Dubrovnik, Milan] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 16 - 18).\n     |- The departure day of Helsinki is Day 9. The arrival day of Frankfurt is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Milan] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Helsinki to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 16 - 18).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Frankfurt is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Istanbul, Brussels, Helsinki, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Milan] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Dubrovnik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Dubrovnik to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Brussels to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Brussels to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Brussels to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 16 - 18).\n     |- The departure day of Milan is Day 10. The arrival day of Frankfurt is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Brussels, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Split, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Milan to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 16 - 18).\n       |- The departure day of Helsinki is Day 12. The arrival day of Frankfurt is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Brussels, Milan, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Helsinki to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 16 - 18).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Frankfurt is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Istanbul, Brussels, Milan, Helsinki, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dubrovnik to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 16 - 18).\n       |- The departure day of Split is Day 13. The arrival day of Frankfurt is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Istanbul, Brussels, Milan, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 16 - 18).\n         |- The departure day of Helsinki is Day 15. The arrival day of Frankfurt is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Brussels, Milan, Split, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Helsinki to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 16 - 18).\n           |- The departure day of Dubrovnik is Day 16. The arrival day of Frankfurt is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Brussels, Milan, Split, Helsinki, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Frankfurt.\n             |- Try arranging to visit Frankfurt from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Dubrovnik to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 18 - 22).\n             |- The departure day of Frankfurt is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Istanbul, Brussels, Milan, Split, Helsinki, Dubrovnik, Frankfurt].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Frankfurt to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Istanbul, Brussels, Milan, Split, Helsinki, Dubrovnik, Frankfurt, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Brussels.\n**Day 5-7:** Visit Brussels for 3 days.\n**Day 7:** Fly from Brussels to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Split.\n**Day 10-13:** Visit Split for 4 days.\n**Day 13:** Fly from Split to Helsinki.\n**Day 13-15:** Visit Helsinki for 3 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.\n**Day 16:** Fly from Dubrovnik to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.\n**Day 18:** Fly from Frankfurt to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Prague**Lisbon**Copenhagen**Dubrovnik**Stockholm**Split**Lyon",
    "ground_truth_durations": "2**3**2**5**5**4**3**2",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 18,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Tallinn",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You have to attend a workshop in Lisbon between day 4 and day 5. You want to spend 5 days in Dubrovnik. You want to spend 5 days in Copenhagen. You plan to stay in Prague for 3 days. You want to spend 2 days in Tallinn. You want to meet a friend in Tallinn between day 1 and day 2. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 13 and day 16. You plan to stay in Split for 3 days. You want to spend 2 days in Lyon. From day 18 to day 19, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nDubrovnik and Stockholm, Lisbon and Copenhagen, Lisbon and Lyon, Copenhagen and Stockholm, Copenhagen and Split, Prague and Stockholm, Tallinn and Stockholm, Prague and Lyon, Lisbon and Stockholm, Prague and Lisbon, Stockholm and Split, Prague and Copenhagen, Split and Lyon, Copenhagen and Dubrovnik, Prague and Split, Tallinn and Copenhagen, Tallinn and Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lisbon. You have to attend a workshop in Lisbon between day 4 and day 5. You want to spend 5 days in Dubrovnik. You want to spend 5 days in Copenhagen. You plan to stay in Prague for 3 days. You want to spend 2 days in Tallinn. You want to meet a friend in Tallinn between day 1 and day 2. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 13 and day 16. You plan to stay in Split for 3 days. You want to spend 2 days in Lyon. From day 18 to day 19, there is a annual show you want to attend in Lyon.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Stockholm, from Lisbon to Copenhagen, from Lisbon to Lyon, from Copenhagen to Stockholm, from Copenhagen to Split, from Prague to Stockholm, from Tallinn to Stockholm, from Prague to Lyon, from Lisbon to Stockholm, from Prague to Lisbon, from Stockholm to Split, from Prague to Copenhagen, from Split to Lyon, from Copenhagen to Dubrovnik, from Prague to Split, from Tallinn to Copenhagen, from Tallinn to Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.\n**Day 16:** Fly from Stockholm to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-19:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1148",
    "estimated_output_tokens": 2254,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Prague, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Split, Duration: 3 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 4 - 5.\n* City: Stockholm, Fixed Schedule: Day 13 - 16.\n* City: Lyon, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Prague, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Tallinn.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 5).\n |- The departure day of Tallinn is Day 2. The arrival day of Lisbon is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen, Prague, Split] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 4 - 5).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Lisbon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 4 - 5).\n   |- The departure day of Prague is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Prague to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 13 - 16).\n     |- The departure day of Lisbon is Day 5. The arrival day of Stockholm is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Prague, Lisbon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen, Split] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lisbon to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lisbon to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 13 - 16).\n       |- The departure day of Copenhagen is Day 9. The arrival day of Stockholm is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Prague, Lisbon, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Split] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 16).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Prague, Lisbon, Copenhagen, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dubrovnik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 18 - 19).\n           |- The departure day of Stockholm is Day 16. The arrival day of Lyon is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Tallinn, Prague, Lisbon, Copenhagen, Dubrovnik, Stockholm].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Stockholm to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lyon (Day 18 - 19).\n             |- The departure day of Split is Day 18. The arrival day of Lyon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Tallinn, Prague, Lisbon, Copenhagen, Dubrovnik, Stockholm, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Split to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Tallinn, Prague, Lisbon, Copenhagen, Dubrovnik, Stockholm, Split, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.\n**Day 16:** Fly from Stockholm to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-19:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Krakow**Vilnius**Berlin**Manchester**Rome**Lyon",
    "ground_truth_durations": "2**4**4**2**3**3**3**3",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 13,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Rome"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Manchester",
        "Rome"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Florence. You want to meet a friend in Florence between day 1 and day 2. You plan to stay in Berlin for 3 days. You have to attend a workshop in Berlin between day 9 and day 11. You want to spend 4 days in Munich. You want to spend 2 days in Vilnius. You plan to stay in Manchester for 3 days. You plan to stay in Krakow for 4 days. You would like to visit Lyon for 3 days. You want to spend 3 days in Rome. You are going to attend a wedding in Rome between day 13 and day 15.\n\nHere are the cities that have direct flights:\nBerlin and Manchester, from Vilnius to Munich, Munich and Rome, Munich and Berlin, from Florence to Munich, Manchester and Rome, from Krakow to Vilnius, Krakow and Berlin, Rome and Lyon, Munich and Manchester, Berlin and Rome, Vilnius and Berlin, Krakow and Manchester, Munich and Krakow, Munich and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Florence. You want to meet a friend in Florence between day 1 and day 2. You plan to stay in Berlin for 3 days. You have to attend a workshop in Berlin between day 9 and day 11. You want to spend 4 days in Munich. You want to spend 2 days in Vilnius. You plan to stay in Manchester for 3 days. You plan to stay in Krakow for 4 days. You would like to visit Lyon for 3 days. You want to spend 3 days in Rome. You are going to attend a wedding in Rome between day 13 and day 15.\n\nHere are the cities that have direct flights:\nfrom Berlin to Manchester, from Vilnius to Munich, from Munich to Rome, from Munich to Berlin, from Florence to Munich, from Manchester to Rome, from Krakow to Vilnius, from Krakow to Berlin, from Rome to Lyon, from Munich to Manchester, from Berlin to Rome, from Vilnius to Berlin, from Krakow to Manchester, from Munich to Krakow, from Munich to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Manchester.\n**Day 11-13:** Visit Manchester for 3 days.\n**Day 13:** Fly from Manchester to Rome.\n**Day 13-15:** Visit Rome for 3 days.\n**Day 15:** Fly from Rome to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.",
    "id": "trip_planning_example_1149",
    "estimated_output_tokens": 2415,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Munich, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 2.\n* City: Berlin, Fixed Schedule: Day 9 - 11.\n* City: Rome, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 9 - 11).\n |- The departure day of Florence is Day 2. The arrival day of Berlin is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Vilnius, Manchester, Krakow, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 9 - 11).\n   |- The departure day of Munich is Day 5. The arrival day of Berlin is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Krakow, Lyon] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 9 - 11).\n     |- The departure day of Manchester is Day 7. The arrival day of Berlin is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Munich, Manchester].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Lyon] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Manchester to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Manchester to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 9 - 11).\n     |- The departure day of Krakow is Day 8. The arrival day of Berlin is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Munich, Krakow].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Lyon] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 9 - 11).\n       |- The departure day of Vilnius is Day 9. The arrival day of Berlin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Munich, Krakow, Vilnius].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Berlin.\n         |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Vilnius to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 13 - 15).\n         |- The departure day of Berlin is Day 11. The arrival day of Rome is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Munich, Krakow, Vilnius, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Berlin to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 13 - 15).\n           |- The departure day of Manchester is Day 13. The arrival day of Rome is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Florence, Munich, Krakow, Vilnius, Berlin, Manchester].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Rome.\n             |- Try arranging to visit Rome from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Manchester to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Florence, Munich, Krakow, Vilnius, Berlin, Manchester, Rome].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Rome to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Florence, Munich, Krakow, Vilnius, Berlin, Manchester, Rome, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Krakow.\n**Day 5-8:** Visit Krakow for 4 days.\n**Day 8:** Fly from Krakow to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Manchester.\n**Day 11-13:** Visit Manchester for 3 days.\n**Day 13:** Fly from Manchester to Rome.\n**Day 13-15:** Visit Rome for 3 days.\n**Day 15:** Fly from Rome to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Krakow**Stockholm**Nice**Riga**Tallinn**Dublin**Oslo",
    "ground_truth_durations": "4**5**3**3**2**2**3**4",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Krakow",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dublin. You plan to visit relatives in Dublin between day 14 and day 16. You want to spend 2 days in Tallinn. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 16 and day 19. You plan to stay in Krakow for 5 days. You are going to attend a wedding in Krakow between day 4 and day 8. You plan to stay in Stockholm for 3 days. You would like to visit Prague for 4 days. You plan to stay in Nice for 3 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nTallinn and Dublin, Stockholm and Oslo, Prague and Dublin, Stockholm and Tallinn, Dublin and Oslo, Stockholm and Riga, Nice and Dublin, Nice and Riga, Krakow and Oslo, Stockholm and Nice, Stockholm and Dublin, Riga and Dublin, Krakow and Stockholm, Prague and Riga, Prague and Oslo, Riga and Oslo, Prague and Stockholm, Prague and Tallinn, Prague and Krakow, Tallinn and Oslo, from Riga to Tallinn, Nice and Oslo, Krakow and Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Dublin. You plan to visit relatives in Dublin between day 14 and day 16. You want to spend 2 days in Tallinn. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 16 and day 19. You plan to stay in Krakow for 5 days. You are going to attend a wedding in Krakow between day 4 and day 8. You plan to stay in Stockholm for 3 days. You would like to visit Prague for 4 days. You plan to stay in Nice for 3 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Dublin, from Stockholm to Oslo, from Prague to Dublin, from Stockholm to Tallinn, from Dublin to Oslo, from Stockholm to Riga, from Nice to Dublin, from Nice to Riga, from Krakow to Oslo, from Stockholm to Nice, from Stockholm to Dublin, from Riga to Dublin, from Krakow to Stockholm, from Prague to Riga, from Prague to Oslo, from Riga to Oslo, from Prague to Stockholm, from Prague to Tallinn, from Prague to Krakow, from Tallinn to Oslo, from Riga to Tallinn, from Nice to Oslo, from Krakow to Dublin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_1150",
    "estimated_output_tokens": 3745,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Tallinn, Duration: 2 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Stockholm, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 4 - 8.\n* City: Dublin, Fixed Schedule: Day 14 - 16.\n* City: Oslo, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Stockholm, Prague, Nice, Riga] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 8).\n |- The departure day of Tallinn is Day 2. The arrival day of Krakow is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Prague, Nice, Riga] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 8).\n |- The departure day of Stockholm is Day 3. The arrival day of Krakow is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague, Nice, Riga] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 8).\n   |- The departure day of Tallinn is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 8).\n   |- The departure day of Nice is Day 5. The arrival day of Krakow is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 8).\n   |- The departure day of Riga is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 8).\n |- The departure day of Prague is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 14 - 16).\n   |- The departure day of Krakow is Day 8. The arrival day of Dublin is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Stockholm, Nice, Riga] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Krakow to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Krakow to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 14 - 16).\n     |- The departure day of Stockholm is Day 10. The arrival day of Dublin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Prague, Krakow, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Nice, Riga] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stockholm to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 14 - 16).\n       |- The departure day of Tallinn is Day 11. The arrival day of Dublin is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, Krakow, Stockholm, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Riga] and explore these options in order.\n         |- Try arranging to visit Nice from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Tallinn to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Tallinn to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stockholm to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 14 - 16).\n       |- The departure day of Nice is Day 12. The arrival day of Dublin is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Prague, Krakow, Stockholm, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Nice to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Nice to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 14 - 16).\n         |- The departure day of Riga is Day 13. The arrival day of Dublin is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Prague, Krakow, Stockholm, Nice, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 14 - 16).\n           |- The departure day of Tallinn is Day 14. The arrival day of Dublin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Prague, Krakow, Stockholm, Nice, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Tallinn to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Oslo (Day 16 - 19).\n             |- The departure day of Dublin is Day 16. The arrival day of Oslo is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Prague, Krakow, Stockholm, Nice, Riga, Tallinn, Dublin].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Oslo.\n               |- Try arranging to visit Oslo from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Dublin to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Prague, Krakow, Stockholm, Nice, Riga, Tallinn, Dublin, Oslo].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Prague and visit Prague for 4 days.\n**Day 4:** Fly from Prague to Krakow.\n**Day 4-8:** Visit Krakow for 5 days.\n**Day 8:** Fly from Krakow to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Tallinn.\n**Day 13-14:** Visit Tallinn for 2 days.\n**Day 14:** Fly from Tallinn to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Vienna**Santorini**Zurich**Lisbon**Frankfurt**Bucharest**Warsaw",
    "ground_truth_durations": "4**5**2**4**2**3**4**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Vienna",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 8 and day 9. You want to spend 4 days in Bucharest. You want to meet a friend in Bucharest between day 15 and day 18. You want to spend 4 days in Zurich. You would like to visit Warsaw for 3 days. You have to attend a workshop in Warsaw between day 18 and day 20. You plan to stay in Stuttgart for 4 days. You plan to stay in Vienna for 5 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 12 and day 13.\n\nHere are the cities that have direct flights:\nBucharest and Warsaw, Zurich and Lisbon, Stuttgart and Frankfurt, Lisbon and Warsaw, Frankfurt and Warsaw, Frankfurt and Bucharest, Lisbon and Frankfurt, Vienna and Santorini, Stuttgart and Warsaw, Stuttgart and Vienna, Zurich and Frankfurt, Lisbon and Bucharest, Stuttgart and Lisbon, Santorini and Bucharest, Zurich and Bucharest, Vienna and Bucharest, Zurich and Warsaw, Vienna and Lisbon, Vienna and Frankfurt, Santorini and Zurich, Vienna and Warsaw, Vienna and Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 8 and day 9. You want to spend 4 days in Bucharest. You want to meet a friend in Bucharest between day 15 and day 18. You want to spend 4 days in Zurich. You would like to visit Warsaw for 3 days. You have to attend a workshop in Warsaw between day 18 and day 20. You plan to stay in Stuttgart for 4 days. You plan to stay in Vienna for 5 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Warsaw, from Zurich to Lisbon, from Stuttgart to Frankfurt, from Lisbon to Warsaw, from Frankfurt to Warsaw, from Frankfurt to Bucharest, from Lisbon to Frankfurt, from Vienna to Santorini, from Stuttgart to Warsaw, from Stuttgart to Vienna, from Zurich to Frankfurt, from Lisbon to Bucharest, from Stuttgart to Lisbon, from Santorini to Bucharest, from Zurich to Bucharest, from Vienna to Bucharest, from Zurich to Warsaw, from Vienna to Lisbon, from Vienna to Frankfurt, from Santorini to Zurich, from Vienna to Warsaw, from Vienna to Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Vienna.\n**Day 4-8:** Visit Vienna for 5 days.\n**Day 8:** Fly from Vienna to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Zurich.\n**Day 9-12:** Visit Zurich for 4 days.\n**Day 12:** Fly from Zurich to Lisbon.\n**Day 12-13:** Visit Lisbon for 2 days.\n**Day 13:** Fly from Lisbon to Frankfurt.\n**Day 13-15:** Visit Frankfurt for 3 days.\n**Day 15:** Fly from Frankfurt to Bucharest.\n**Day 15-18:** Visit Bucharest for 4 days.\n**Day 18:** Fly from Bucharest to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1151",
    "estimated_output_tokens": 3402,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Zurich, Duration: 4 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Stuttgart, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 8 - 9.\n* City: Lisbon, Fixed Schedule: Day 12 - 13.\n* City: Bucharest, Fixed Schedule: Day 15 - 18.\n* City: Warsaw, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Zurich, Stuttgart, Vienna] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 9).\n |- The departure day of Frankfurt is Day 3. The arrival day of Santorini is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart, Vienna] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Frankfurt to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Frankfurt to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 9).\n |- The departure day of Zurich is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Stuttgart, Vienna] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 9).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 9).\n |- The departure day of Stuttgart is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Zurich, Vienna] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stuttgart to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 9).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Vienna] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stuttgart to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 9).\n   |- The departure day of Vienna is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Vienna to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 12 - 13).\n     |- The departure day of Santorini is Day 9. The arrival day of Lisbon is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stuttgart, Vienna, Santorini].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Zurich] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Santorini to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Santorini to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 12 - 13).\n       |- The departure day of Zurich is Day 12. The arrival day of Lisbon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stuttgart, Vienna, Santorini, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 15 - 18).\n         |- The departure day of Lisbon is Day 13. The arrival day of Bucharest is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stuttgart, Vienna, Santorini, Zurich, Lisbon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Lisbon to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 15 - 18).\n           |- The departure day of Frankfurt is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Stuttgart, Vienna, Santorini, Zurich, Lisbon, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Frankfurt to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 18 - 20).\n             |- The departure day of Bucharest is Day 18. The arrival day of Warsaw is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Stuttgart, Vienna, Santorini, Zurich, Lisbon, Frankfurt, Bucharest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Bucharest to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Stuttgart, Vienna, Santorini, Zurich, Lisbon, Frankfurt, Bucharest, Warsaw].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Vienna.\n**Day 4-8:** Visit Vienna for 5 days.\n**Day 8:** Fly from Vienna to Santorini.\n**Day 8-9:** Visit Santorini for 2 days.\n**Day 9:** Fly from Santorini to Zurich.\n**Day 9-12:** Visit Zurich for 4 days.\n**Day 12:** Fly from Zurich to Lisbon.\n**Day 12-13:** Visit Lisbon for 2 days.\n**Day 13:** Fly from Lisbon to Frankfurt.\n**Day 13-15:** Visit Frankfurt for 3 days.\n**Day 15:** Fly from Frankfurt to Bucharest.\n**Day 15-18:** Visit Bucharest for 4 days.\n**Day 18:** Fly from Bucharest to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Edinburgh**Venice**Lyon**Split**Geneva**Dublin**Reykjavik",
    "ground_truth_durations": "4**2**5**5**2**3**3**4",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Dublin"
      ],
      [
        "Seville",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 2 days. You are going to attend a wedding in Edinburgh between day 4 and day 5. You would like to visit Dublin for 3 days. You want to spend 4 days in Reykjavik. You want to spend 3 days in Geneva. From day 14 to day 16, there is a annual show you want to attend in Geneva. You want to spend 2 days in Split. You plan to stay in Venice for 5 days. You want to spend 5 days in Lyon. You would like to visit Seville for 4 days.\n\nHere are the cities that have direct flights:\nLyon and Dublin, Dublin and Reykjavik, Venice and Lyon, Seville and Edinburgh, Geneva and Dublin, Split and Geneva, Venice and Dublin, Lyon and Split, Split and Dublin, Edinburgh and Venice, Edinburgh and Geneva, Edinburgh and Dublin, Seville and Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 2 days. You are going to attend a wedding in Edinburgh between day 4 and day 5. You would like to visit Dublin for 3 days. You want to spend 4 days in Reykjavik. You want to spend 3 days in Geneva. From day 14 to day 16, there is a annual show you want to attend in Geneva. You want to spend 2 days in Split. You plan to stay in Venice for 5 days. You want to spend 5 days in Lyon. You would like to visit Seville for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Dublin, from Dublin to Reykjavik, from Venice to Lyon, from Seville to Edinburgh, from Geneva to Dublin, from Split to Geneva, from Venice to Dublin, from Lyon to Split, from Split to Dublin, from Edinburgh to Venice, from Edinburgh to Geneva, from Edinburgh to Dublin, from Seville to Dublin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Split.\n**Day 13-14:** Visit Split for 2 days.\n**Day 14:** Fly from Split to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Dublin.\n**Day 16-18:** Visit Dublin for 3 days.\n**Day 18:** Fly from Dublin to Reykjavik.\n**Day 18-21:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1152",
    "estimated_output_tokens": 5274,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Dublin, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Split, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Dublin, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Split, Venice, Lyon, Seville] and explore these options in order.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Dublin is Day 3. The arrival day of Edinburgh is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Split, Venice, Lyon, Seville] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Edinburgh (Day 4 - 5).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Edinburgh is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dublin to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Reykjavik is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Reykjavik to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Split is Day 2. The arrival day of Edinburgh is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Venice, Lyon, Seville] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 4 - 5).\n   |- The departure day of Dublin is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Dublin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dublin to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Venice is Day 5. The arrival day of Edinburgh is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Lyon is Day 5. The arrival day of Edinburgh is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Seville is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Seville to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 14 - 16).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Geneva is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Seville, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Split, Venice, Lyon] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Edinburgh to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 14 - 16).\n     |- The departure day of Dublin is Day 7. The arrival day of Geneva is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Seville, Edinburgh, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Split, Venice, Lyon] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dublin to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 14 - 16).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Geneva is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Edinburgh, Dublin, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Venice, Lyon] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Edinburgh to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Edinburgh to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 14 - 16).\n     |- The departure day of Venice is Day 9. The arrival day of Geneva is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Edinburgh, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Split, Lyon] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 14 - 16).\n       |- The departure day of Dublin is Day 11. The arrival day of Geneva is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Seville, Edinburgh, Venice, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Split, Lyon] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dublin to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 14 - 16).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Geneva is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Edinburgh, Venice, Dublin, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Reykjavik to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dublin to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dublin to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 14 - 16).\n       |- The departure day of Lyon is Day 13. The arrival day of Geneva is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Edinburgh, Venice, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik, Split] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Lyon to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 14 - 16).\n         |- The departure day of Dublin is Day 15. The arrival day of Geneva is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Lyon to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lyon to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 14 - 16).\n         |- The departure day of Split is Day 14. The arrival day of Geneva is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Edinburgh, Venice, Lyon, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Edinburgh, Venice, Lyon, Split, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dublin, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Dublin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Geneva to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Seville, Edinburgh, Venice, Lyon, Split, Geneva, Dublin].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Dublin to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Seville, Edinburgh, Venice, Lyon, Split, Geneva, Dublin, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Split.\n**Day 13-14:** Visit Split for 2 days.\n**Day 14:** Fly from Split to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Dublin.\n**Day 16-18:** Visit Dublin for 3 days.\n**Day 18:** Fly from Dublin to Reykjavik.\n**Day 18-21:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Athens**Prague**Helsinki**Geneva**Mykonos**Vienna**Stuttgart",
    "ground_truth_durations": "5**2**4**4**5**5**2**4",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Athens"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Geneva",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. During day 9 and day 12, you have to attend a conference in Helsinki. You would like to visit Geneva for 5 days. You want to spend 5 days in Mykonos. You plan to stay in Stuttgart for 4 days. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 1 and day 5. You would like to visit Athens for 2 days. You have to attend a workshop in Athens between day 5 and day 6. You want to spend 2 days in Vienna. You would like to visit Prague for 4 days.\n\nHere are the cities that have direct flights:\nBerlin and Athens, Geneva and Vienna, Helsinki and Geneva, Berlin and Stuttgart, Berlin and Helsinki, Athens and Prague, Mykonos and Vienna, Berlin and Geneva, Athens and Stuttgart, Helsinki and Vienna, Athens and Vienna, Prague and Vienna, Vienna and Stuttgart, Prague and Helsinki, Prague and Geneva, Athens and Geneva, Athens and Mykonos, Berlin and Vienna, Geneva and Mykonos.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Helsinki. During day 9 and day 12, you have to attend a conference in Helsinki. You would like to visit Geneva for 5 days. You want to spend 5 days in Mykonos. You plan to stay in Stuttgart for 4 days. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 1 and day 5. You would like to visit Athens for 2 days. You have to attend a workshop in Athens between day 5 and day 6. You want to spend 2 days in Vienna. You would like to visit Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Athens, from Geneva to Vienna, from Helsinki to Geneva, from Berlin to Stuttgart, from Berlin to Helsinki, from Athens to Prague, from Mykonos to Vienna, from Berlin to Geneva, from Athens to Stuttgart, from Helsinki to Vienna, from Athens to Vienna, from Prague to Vienna, from Vienna to Stuttgart, from Prague to Helsinki, from Prague to Geneva, from Athens to Geneva, from Athens to Mykonos, from Berlin to Vienna, from Geneva to Mykonos.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Prague.\n**Day 6-9:** Visit Prague for 4 days.\n**Day 9:** Fly from Prague to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Mykonos.\n**Day 16-20:** Visit Mykonos for 5 days.\n**Day 20:** Fly from Mykonos to Vienna.\n**Day 20-21:** Visit Vienna for 2 days.\n**Day 21:** Fly from Vienna to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1153",
    "estimated_output_tokens": 2863,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Geneva, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 6.\n* City: Helsinki, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Geneva, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 6).\n |- The departure day of Berlin is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Berlin to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 9 - 12).\n   |- The departure day of Athens is Day 6. The arrival day of Helsinki is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos, Stuttgart, Vienna, Prague] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 9 - 12).\n     |- The departure day of Geneva is Day 10. The arrival day of Helsinki is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 9 - 12).\n     |- The departure day of Mykonos is Day 10. The arrival day of Helsinki is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 9 - 12).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Helsinki is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Athens, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Stuttgart to Helsinki.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Athens to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 9 - 12).\n     |- The departure day of Vienna is Day 7. The arrival day of Helsinki is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Athens, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos, Stuttgart, Prague] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vienna to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vienna to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vienna to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 9 - 12).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Helsinki is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vienna to Prague.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Athens to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 9 - 12).\n     |- The departure day of Prague is Day 9. The arrival day of Helsinki is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Athens, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Athens, Prague, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos, Stuttgart, Vienna] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Helsinki to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Berlin, Athens, Prague, Helsinki, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Stuttgart, Vienna] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Geneva to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Berlin, Athens, Prague, Helsinki, Geneva, Mykonos].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Mykonos to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Mykonos to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Berlin, Athens, Prague, Helsinki, Geneva, Mykonos, Vienna].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Vienna to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Berlin, Athens, Prague, Helsinki, Geneva, Mykonos, Vienna, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Prague.\n**Day 6-9:** Visit Prague for 4 days.\n**Day 9:** Fly from Prague to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Mykonos.\n**Day 16-20:** Visit Mykonos for 5 days.\n**Day 20:** Fly from Mykonos to Vienna.\n**Day 20-21:** Visit Vienna for 2 days.\n**Day 21:** Fly from Vienna to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Berlin**Salzburg**Istanbul**Riga**Tallinn**Helsinki**Dubrovnik",
    "ground_truth_durations": "3**3**3**4**5**5**5**2",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 14,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Budapest",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You want to spend 3 days in Salzburg. From day 5 to day 7, there is a annual show you want to attend in Salzburg. You plan to stay in Budapest for 3 days. You plan to stay in Berlin for 3 days. During day 3 and day 5, you have to attend a conference in Berlin. You want to spend 5 days in Riga. You have to attend a workshop in Riga between day 10 and day 14. You plan to stay in Helsinki for 5 days. You want to spend 4 days in Istanbul. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 14 and day 18.\n\nHere are the cities that have direct flights:\nTallinn and Helsinki, from Riga to Tallinn, Helsinki and Dubrovnik, Berlin and Riga, Riga and Helsinki, from Dubrovnik to Istanbul, Budapest and Helsinki, Berlin and Helsinki, Berlin and Tallinn, Salzburg and Istanbul, Berlin and Istanbul, Budapest and Berlin, Budapest and Istanbul, Istanbul and Helsinki, Istanbul and Riga, Berlin and Salzburg, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You want to spend 3 days in Salzburg. From day 5 to day 7, there is a annual show you want to attend in Salzburg. You plan to stay in Budapest for 3 days. You plan to stay in Berlin for 3 days. During day 3 and day 5, you have to attend a conference in Berlin. You want to spend 5 days in Riga. You have to attend a workshop in Riga between day 10 and day 14. You plan to stay in Helsinki for 5 days. You want to spend 4 days in Istanbul. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 14 and day 18.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Helsinki, from Riga to Tallinn, from Helsinki to Dubrovnik, from Berlin to Riga, from Riga to Helsinki, from Dubrovnik to Istanbul, from Budapest to Helsinki, from Berlin to Helsinki, from Berlin to Tallinn, from Salzburg to Istanbul, from Berlin to Istanbul, from Budapest to Berlin, from Budapest to Istanbul, from Istanbul to Helsinki, from Istanbul to Riga, from Berlin to Salzburg, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Berlin.\n**Day 3-5:** Visit Berlin for 3 days.\n**Day 5:** Fly from Berlin to Salzburg.\n**Day 5-7:** Visit Salzburg for 3 days.\n**Day 7:** Fly from Salzburg to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Helsinki.\n**Day 18-22:** Visit Helsinki for 5 days.\n**Day 22:** Fly from Helsinki to Dubrovnik.\n**Day 22-23:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1154",
    "estimated_output_tokens": 2569,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Budapest, Duration: 3 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Helsinki, Duration: 5 days.\n* City: Istanbul, Duration: 4 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 5.\n* City: Salzburg, Fixed Schedule: Day 5 - 7.\n* City: Riga, Fixed Schedule: Day 10 - 14.\n* City: Tallinn, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Istanbul, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Budapest, Helsinki, Istanbul] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 5).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Berlin is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Helsinki, Istanbul] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 3 - 5).\n   |- The departure day of Istanbul is Day 5. The arrival day of Berlin is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 5).\n |- The departure day of Budapest is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Salzburg (Day 5 - 7).\n   |- The departure day of Berlin is Day 5. The arrival day of Salzburg is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Budapest, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Salzburg.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Berlin to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 14).\n     |- The departure day of Salzburg is Day 7. The arrival day of Riga is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Budapest, Berlin, Salzburg].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki, Istanbul] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Salzburg to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Salzburg to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Salzburg to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 10 - 14).\n       |- The departure day of Istanbul is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Budapest, Berlin, Salzburg, Istanbul].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Istanbul to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 14 - 18).\n         |- The departure day of Riga is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Budapest, Berlin, Salzburg, Istanbul, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Budapest, Berlin, Salzburg, Istanbul, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Helsinki] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Tallinn to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Tallinn to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Budapest, Berlin, Salzburg, Istanbul, Riga, Tallinn, Helsinki].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Helsinki to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Budapest, Berlin, Salzburg, Istanbul, Riga, Tallinn, Helsinki, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Budapest and visit Budapest for 3 days.\n**Day 3:** Fly from Budapest to Berlin.\n**Day 3-5:** Visit Berlin for 3 days.\n**Day 5:** Fly from Berlin to Salzburg.\n**Day 5-7:** Visit Salzburg for 3 days.\n**Day 7:** Fly from Salzburg to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Helsinki.\n**Day 18-22:** Visit Helsinki for 5 days.\n**Day 22:** Fly from Helsinki to Dubrovnik.\n**Day 22-23:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Istanbul**Porto**Zurich**Riga**Frankfurt**Dubrovnik**Geneva",
    "ground_truth_durations": "5**2**4**5**2**4**4**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You want to meet a friend in Zurich between day 9 and day 13. You would like to visit Porto for 4 days. You would like to meet your friends at Porto between day 6 and day 9 to tour together. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 1 and day 5. You plan to stay in Frankfurt for 4 days. You would like to visit Dubrovnik for 4 days. You plan to stay in Geneva for 5 days. You are going to attend a wedding in Geneva between day 20 and day 24. You want to spend 2 days in Riga. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Geneva, Milan and Riga, Dubrovnik and Geneva, Milan and Zurich, Zurich and Riga, Zurich and Frankfurt, Istanbul and Frankfurt, Riga and Frankfurt, Zurich and Dubrovnik, Milan and Frankfurt, Porto and Frankfurt, Zurich and Geneva, Frankfurt and Geneva, Milan and Porto, Frankfurt and Dubrovnik, Porto and Zurich, Porto and Geneva, Istanbul and Zurich, Istanbul and Riga, Istanbul and Porto, Milan and Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 5 days. You want to meet a friend in Zurich between day 9 and day 13. You would like to visit Porto for 4 days. You would like to meet your friends at Porto between day 6 and day 9 to tour together. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 1 and day 5. You plan to stay in Frankfurt for 4 days. You would like to visit Dubrovnik for 4 days. You plan to stay in Geneva for 5 days. You are going to attend a wedding in Geneva between day 20 and day 24. You want to spend 2 days in Riga. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Geneva, from Milan to Riga, from Dubrovnik to Geneva, from Milan to Zurich, from Zurich to Riga, from Zurich to Frankfurt, from Istanbul to Frankfurt, from Riga to Frankfurt, from Zurich to Dubrovnik, from Milan to Frankfurt, from Porto to Frankfurt, from Zurich to Geneva, from Frankfurt to Geneva, from Milan to Porto, from Frankfurt to Dubrovnik, from Porto to Zurich, from Porto to Geneva, from Istanbul to Zurich, from Istanbul to Riga, from Istanbul to Porto, from Milan to Istanbul, from Dubrovnik to Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Zurich.\n**Day 9-13:** Visit Zurich for 5 days.\n**Day 13:** Fly from Zurich to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Frankfurt.\n**Day 14-17:** Visit Frankfurt for 4 days.\n**Day 17:** Fly from Frankfurt to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-24:** Visit Geneva for 5 days.",
    "id": "trip_planning_example_1155",
    "estimated_output_tokens": 3311,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Frankfurt, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Riga, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 5.\n* City: Porto, Fixed Schedule: Day 6 - 9.\n* City: Zurich, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of Milan is Day 5. The arrival day of Porto is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Dubrovnik, Riga, Istanbul] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Milan to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 6 - 9).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Porto is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Milan to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 6 - 9).\n   |- The departure day of Riga is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Riga to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Milan to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 6 - 9).\n   |- The departure day of Istanbul is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 9 - 13).\n     |- The departure day of Porto is Day 9. The arrival day of Zurich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Istanbul, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 20 - 24).\n       |- The departure day of Zurich is Day 13. The arrival day of Geneva is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Milan, Istanbul, Porto, Zurich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Dubrovnik, Riga] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Zurich to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 20 - 24).\n         |- The departure day of Frankfurt is Day 16. The arrival day of Geneva is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Milan, Istanbul, Porto, Zurich, Frankfurt].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Riga] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 20 - 24).\n           |- The departure day of Dubrovnik is Day 19. The arrival day of Geneva is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Milan, Istanbul, Porto, Zurich, Frankfurt, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Dubrovnik to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Frankfurt to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 20 - 24).\n         |- The departure day of Dubrovnik is Day 16. The arrival day of Geneva is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Milan, Istanbul, Porto, Zurich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Riga] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Dubrovnik to Frankfurt.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dubrovnik to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Zurich to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 20 - 24).\n         |- The departure day of Riga is Day 14. The arrival day of Geneva is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Istanbul, Porto, Zurich, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Riga to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Geneva (Day 20 - 24).\n           |- The departure day of Frankfurt is Day 17. The arrival day of Geneva is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Milan, Istanbul, Porto, Zurich, Riga, Frankfurt].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Frankfurt to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Geneva (Day 20 - 24).\n             |- The departure day of Dubrovnik is Day 20. The arrival day of Geneva is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Milan, Istanbul, Porto, Zurich, Riga, Frankfurt, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Dubrovnik to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Milan, Istanbul, Porto, Zurich, Riga, Frankfurt, Dubrovnik, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Zurich.\n**Day 9-13:** Visit Zurich for 5 days.\n**Day 13:** Fly from Zurich to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Frankfurt.\n**Day 14-17:** Visit Frankfurt for 4 days.\n**Day 17:** Fly from Frankfurt to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-24:** Visit Geneva for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Budapest**Prague**Florence**Lisbon**Krakow**Warsaw**Frankfurt",
    "ground_truth_durations": "4**2**2**5**2**4**3**3",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Budapest",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 5 days. You would like to visit Lisbon for 2 days. During day 10 and day 11, you have to attend a conference in Lisbon. You want to spend 2 days in Prague. You would like to visit Warsaw for 3 days. You want to spend 2 days in Budapest. You would like to visit Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 16 and day 18. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 1 and day 4. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 11 and day 14.\n\nHere are the cities that have direct flights:\nKrakow and Frankfurt, Budapest and Frankfurt, Florence and Lisbon, Florence and Frankfurt, Istanbul and Warsaw, Lisbon and Frankfurt, Prague and Florence, Warsaw and Frankfurt, Istanbul and Frankfurt, Lisbon and Warsaw, Budapest and Warsaw, Istanbul and Prague, Budapest and Lisbon, Istanbul and Krakow, Lisbon and Krakow, Prague and Warsaw, Istanbul and Budapest, Prague and Lisbon, Krakow and Warsaw, Prague and Krakow, Prague and Frankfurt, Istanbul and Lisbon, Budapest and Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 5 days. You would like to visit Lisbon for 2 days. During day 10 and day 11, you have to attend a conference in Lisbon. You want to spend 2 days in Prague. You would like to visit Warsaw for 3 days. You want to spend 2 days in Budapest. You would like to visit Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 16 and day 18. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 1 and day 4. You want to spend 4 days in Krakow. You want to meet a friend in Krakow between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Krakow to Frankfurt, from Budapest to Frankfurt, from Florence to Lisbon, from Florence to Frankfurt, from Istanbul to Warsaw, from Lisbon to Frankfurt, from Prague to Florence, from Warsaw to Frankfurt, from Istanbul to Frankfurt, from Lisbon to Warsaw, from Budapest to Warsaw, from Istanbul to Prague, from Budapest to Lisbon, from Istanbul to Krakow, from Lisbon to Krakow, from Prague to Warsaw, from Istanbul to Budapest, from Prague to Lisbon, from Krakow to Warsaw, from Prague to Krakow, from Prague to Frankfurt, from Istanbul to Lisbon, from Budapest to Prague.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_1156",
    "estimated_output_tokens": 3309,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Prague, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 10 - 11.\n* City: Krakow, Fixed Schedule: Day 11 - 14.\n* City: Frankfurt, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Florence, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 10 - 11).\n |- The departure day of Istanbul is Day 4. The arrival day of Lisbon is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Warsaw, Budapest] and explore these options in order.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Istanbul to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Istanbul to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 10 - 11).\n   |- The departure day of Prague is Day 5. The arrival day of Lisbon is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Warsaw, Budapest] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 11).\n     |- The departure day of Florence is Day 9. The arrival day of Lisbon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Istanbul, Prague, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Budapest] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Florence to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 11).\n     |- The departure day of Warsaw is Day 7. The arrival day of Lisbon is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Prague, Warsaw].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Budapest] and explore these options in order.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Warsaw to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Istanbul to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 10 - 11).\n   |- The departure day of Warsaw is Day 6. The arrival day of Lisbon is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Budapest] and explore these options in order.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Warsaw to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Warsaw to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Warsaw to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Istanbul to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 10 - 11).\n   |- The departure day of Budapest is Day 5. The arrival day of Lisbon is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Warsaw] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Budapest to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 11).\n     |- The departure day of Prague is Day 6. The arrival day of Lisbon is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Budapest, Prague].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Warsaw] and explore these options in order.\n       |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 10 - 11).\n       |- The departure day of Florence is Day 10. The arrival day of Lisbon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Istanbul, Budapest, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Florence to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 11 - 14).\n         |- The departure day of Lisbon is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Istanbul, Budapest, Prague, Florence, Lisbon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Lisbon to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 16 - 18).\n           |- The departure day of Krakow is Day 14. The arrival day of Frankfurt is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Istanbul, Budapest, Prague, Florence, Lisbon, Krakow].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Krakow to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 16 - 18).\n             |- The departure day of Warsaw is Day 16. The arrival day of Frankfurt is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Istanbul, Budapest, Prague, Florence, Lisbon, Krakow, Warsaw].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Warsaw to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Istanbul, Budapest, Prague, Florence, Lisbon, Krakow, Warsaw, Frankfurt].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Istanbul and visit Istanbul for 4 days.\n**Day 4:** Fly from Istanbul to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to Lisbon.\n**Day 10-11:** Visit Lisbon for 2 days.\n**Day 11:** Fly from Lisbon to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Frankfurt.\n**Day 16-18:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Vienna**Riga**Helsinki**Budapest**Naples**Valencia**Seville",
    "ground_truth_durations": "3**5**4**5**3**3**4**3",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Budapest",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 4 days. You would like to visit Seville for 3 days. You want to meet a friend in Seville between day 21 and day 23. You want to spend 3 days in Lyon. You plan to stay in Vienna for 5 days. You plan to stay in Budapest for 3 days. You would like to visit Helsinki for 5 days. You plan to stay in Riga for 4 days. You plan to visit relatives in Riga between day 7 and day 10. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nLyon and Vienna, Valencia and Seville, Vienna and Valencia, Helsinki and Budapest, Vienna and Helsinki, Vienna and Riga, Lyon and Valencia, Vienna and Naples, Helsinki and Naples, Riga and Helsinki, Vienna and Seville, Vienna and Budapest, Naples and Valencia, Budapest and Naples.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 4 days. You would like to visit Seville for 3 days. You want to meet a friend in Seville between day 21 and day 23. You want to spend 3 days in Lyon. You plan to stay in Vienna for 5 days. You plan to stay in Budapest for 3 days. You would like to visit Helsinki for 5 days. You plan to stay in Riga for 4 days. You plan to visit relatives in Riga between day 7 and day 10. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Vienna, from Valencia to Seville, from Vienna to Valencia, from Helsinki to Budapest, from Vienna to Helsinki, from Vienna to Riga, from Lyon to Valencia, from Vienna to Naples, from Helsinki to Naples, from Riga to Helsinki, from Vienna to Seville, from Vienna to Budapest, from Naples to Valencia, from Budapest to Naples.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Riga.\n**Day 7-10:** Visit Riga for 4 days.\n**Day 10:** Fly from Riga to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Naples.\n**Day 16-18:** Visit Naples for 3 days.\n**Day 18:** Fly from Naples to Valencia.\n**Day 18-21:** Visit Valencia for 4 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1157",
    "estimated_output_tokens": 3052,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Lyon, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n* City: Budapest, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 7 - 10.\n* City: Seville, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n* City: Budapest, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Lyon, Vienna, Budapest, Helsinki, Naples] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 7 - 10).\n |- The departure day of Valencia is Day 4. The arrival day of Riga is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Vienna, Budapest, Helsinki, Naples] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 7 - 10).\n |- The departure day of Lyon is Day 3. The arrival day of Riga is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna, Budapest, Helsinki, Naples] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 7 - 10).\n   |- The departure day of Valencia is Day 6. The arrival day of Riga is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Budapest, Helsinki, Naples] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Valencia to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Valencia to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Riga (Day 7 - 10).\n   |- The departure day of Vienna is Day 7. The arrival day of Riga is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Vienna to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 21 - 23).\n     |- The departure day of Riga is Day 10. The arrival day of Seville is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Vienna, Riga].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Budapest, Helsinki, Naples] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Riga to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Riga to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Riga to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 21 - 23).\n       |- The departure day of Helsinki is Day 14. The arrival day of Seville is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lyon, Vienna, Riga, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Budapest, Naples] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Helsinki to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 23).\n         |- The departure day of Budapest is Day 16. The arrival day of Seville is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lyon, Vienna, Riga, Helsinki, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Naples] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Budapest to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Budapest to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Seville (Day 21 - 23).\n           |- The departure day of Naples is Day 18. The arrival day of Seville is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Lyon, Vienna, Riga, Helsinki, Budapest, Naples].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Naples to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 21 - 23).\n             |- The departure day of Valencia is Day 21. The arrival day of Seville is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lyon, Vienna, Riga, Helsinki, Budapest, Naples, Valencia].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Valencia to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Lyon, Vienna, Riga, Helsinki, Budapest, Naples, Valencia, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Riga.\n**Day 7-10:** Visit Riga for 4 days.\n**Day 10:** Fly from Riga to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Naples.\n**Day 16-18:** Visit Naples for 3 days.\n**Day 18:** Fly from Naples to Valencia.\n**Day 18-21:** Visit Valencia for 4 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Stockholm**Athens**Naples**Frankfurt**Krakow**Manchester**Seville",
    "ground_truth_durations": "4**4**3**3**3**5**4**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Manchester",
        "Seville"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Stockholm",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 2 days. You are going to attend a wedding in Seville between day 20 and day 21. You want to spend 5 days in Krakow. You want to meet a friend in Krakow between day 13 and day 17. You would like to visit Frankfurt for 3 days. You want to spend 4 days in Hamburg. You plan to stay in Stockholm for 4 days. You plan to visit relatives in Stockholm between day 4 and day 7. You want to spend 3 days in Naples. You want to spend 3 days in Athens. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Manchester, Frankfurt and Krakow, Manchester and Seville, Krakow and Manchester, Naples and Manchester, Frankfurt and Manchester, Stockholm and Frankfurt, Hamburg and Manchester, Hamburg and Frankfurt, Hamburg and Stockholm, Athens and Naples, Naples and Frankfurt, Hamburg and Athens, Stockholm and Krakow, Athens and Frankfurt, Stockholm and Manchester, Stockholm and Athens.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 2 days. You are going to attend a wedding in Seville between day 20 and day 21. You want to spend 5 days in Krakow. You want to meet a friend in Krakow between day 13 and day 17. You would like to visit Frankfurt for 3 days. You want to spend 4 days in Hamburg. You plan to stay in Stockholm for 4 days. You plan to visit relatives in Stockholm between day 4 and day 7. You want to spend 3 days in Naples. You want to spend 3 days in Athens. You plan to stay in Manchester for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Manchester, from Frankfurt to Krakow, from Manchester to Seville, from Krakow to Manchester, from Naples to Manchester, from Frankfurt to Manchester, from Stockholm to Frankfurt, from Hamburg to Manchester, from Hamburg to Frankfurt, from Hamburg to Stockholm, from Athens to Naples, from Naples to Frankfurt, from Hamburg to Athens, from Stockholm to Krakow, from Athens to Frankfurt, from Stockholm to Manchester, from Stockholm to Athens.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Stockholm.\n**Day 4-7:** Visit Stockholm for 4 days.\n**Day 7:** Fly from Stockholm to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Krakow.\n**Day 13-17:** Visit Krakow for 5 days.\n**Day 17:** Fly from Krakow to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Seville.\n**Day 20-21:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1158",
    "estimated_output_tokens": 3514,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Frankfurt, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Naples, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 4 - 7.\n* City: Krakow, Fixed Schedule: Day 13 - 17.\n* City: Seville, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Hamburg, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Manchester, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Hamburg, Naples, Athens, Manchester] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 4 - 7).\n |- The departure day of Frankfurt is Day 3. The arrival day of Stockholm is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Naples, Athens, Manchester] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Frankfurt to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Frankfurt to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 4 - 7).\n   |- The departure day of Manchester is Day 6. The arrival day of Stockholm is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 4 - 7).\n |- The departure day of Hamburg is Day 4. The arrival day of Stockholm is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Hamburg to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 13 - 17).\n   |- The departure day of Stockholm is Day 7. The arrival day of Krakow is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Naples, Athens, Manchester] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 13 - 17).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Krakow is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Stockholm, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Athens, Manchester] and explore these options in order.\n       |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Frankfurt to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 17).\n       |- The departure day of Manchester is Day 12. The arrival day of Krakow is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Stockholm, Frankfurt, Manchester].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Athens] and explore these options in order.\n         |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Manchester to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Manchester to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 13 - 17).\n     |- The departure day of Athens is Day 9. The arrival day of Krakow is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Stockholm, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Naples, Manchester] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Athens to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 17).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Stockholm, Athens, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Manchester] and explore these options in order.\n         |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Frankfurt to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 17).\n         |- The departure day of Manchester is Day 14. The arrival day of Krakow is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Athens to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 13 - 17).\n       |- The departure day of Naples is Day 11. The arrival day of Krakow is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Stockholm, Athens, Naples].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Manchester] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Naples to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 13 - 17).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Krakow is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Hamburg, Stockholm, Athens, Naples, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Frankfurt to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 20 - 21).\n           |- The departure day of Krakow is Day 17. The arrival day of Seville is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Hamburg, Stockholm, Athens, Naples, Frankfurt, Krakow].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Krakow to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Seville (Day 20 - 21).\n             |- The departure day of Manchester is Day 20. The arrival day of Seville is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Hamburg, Stockholm, Athens, Naples, Frankfurt, Krakow, Manchester].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Manchester to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Hamburg, Stockholm, Athens, Naples, Frankfurt, Krakow, Manchester, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Stockholm.\n**Day 4-7:** Visit Stockholm for 4 days.\n**Day 7:** Fly from Stockholm to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Krakow.\n**Day 13-17:** Visit Krakow for 5 days.\n**Day 17:** Fly from Krakow to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Seville.\n**Day 20-21:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Valencia**Madrid**Mykonos**Budapest**Manchester**Hamburg**Salzburg",
    "ground_truth_durations": "2**3**3**2**3**5**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Madrid",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 2 days. You would like to visit Valencia for 3 days. You want to meet a friend in Valencia between day 2 and day 4. You want to spend 2 days in Hamburg. You plan to visit relatives in Hamburg between day 13 and day 14. You want to spend 3 days in Budapest. You plan to stay in Madrid for 3 days. From day 4 to day 6, there is a annual show you want to attend in Madrid. You plan to stay in Manchester for 5 days. You have to attend a workshop in Manchester between day 9 and day 13. You plan to stay in Salzburg for 2 days. You want to spend 2 days in Mykonos.\n\nHere are the cities that have direct flights:\nBudapest and Manchester, Madrid and Mykonos, Madrid and Manchester, Madrid and Budapest, Krakow and Valencia, Mykonos and Budapest, Budapest and Hamburg, Valencia and Madrid, Krakow and Manchester, Manchester and Hamburg, Hamburg and Salzburg, Madrid and Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 2 days. You would like to visit Valencia for 3 days. You want to meet a friend in Valencia between day 2 and day 4. You want to spend 2 days in Hamburg. You plan to visit relatives in Hamburg between day 13 and day 14. You want to spend 3 days in Budapest. You plan to stay in Madrid for 3 days. From day 4 to day 6, there is a annual show you want to attend in Madrid. You plan to stay in Manchester for 5 days. You have to attend a workshop in Manchester between day 9 and day 13. You plan to stay in Salzburg for 2 days. You want to spend 2 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Budapest to Manchester, from Madrid to Mykonos, from Madrid to Manchester, from Madrid to Budapest, from Krakow to Valencia, from Mykonos to Budapest, from Budapest to Hamburg, from Valencia to Madrid, from Krakow to Manchester, from Manchester to Hamburg, from Hamburg to Salzburg, from Madrid to Hamburg.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Valencia.\n**Day 2-4:** Visit Valencia for 3 days.\n**Day 4:** Fly from Valencia to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to Budapest.\n**Day 7-9:** Visit Budapest for 3 days.\n**Day 9:** Fly from Budapest to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1159",
    "estimated_output_tokens": 2381,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Budapest, Duration: 3 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Salzburg, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 2 - 4.\n* City: Madrid, Fixed Schedule: Day 4 - 6.\n* City: Manchester, Fixed Schedule: Day 9 - 13.\n* City: Hamburg, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Budapest, Salzburg, Mykonos] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 2 - 4).\n |- The departure day of Krakow is Day 2. The arrival day of Valencia is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 4 - 6).\n   |- The departure day of Valencia is Day 4. The arrival day of Madrid is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Manchester (Day 9 - 13).\n     |- The departure day of Madrid is Day 6. The arrival day of Manchester is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Krakow, Valencia, Madrid].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Salzburg, Mykonos] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Madrid to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 9 - 13).\n       |- The departure day of Budapest is Day 8. The arrival day of Manchester is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Krakow, Valencia, Madrid, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Budapest to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Budapest to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Madrid to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Madrid to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 9 - 13).\n       |- The departure day of Mykonos is Day 7. The arrival day of Manchester is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Krakow, Valencia, Madrid, Mykonos].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Salzburg] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Mykonos to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 9 - 13).\n         |- The departure day of Budapest is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Krakow, Valencia, Madrid, Mykonos, Budapest].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Budapest to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 14).\n           |- The departure day of Manchester is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Krakow, Valencia, Madrid, Mykonos, Budapest, Manchester].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n             |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Manchester to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Krakow, Valencia, Madrid, Mykonos, Budapest, Manchester, Hamburg].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Hamburg to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Krakow, Valencia, Madrid, Mykonos, Budapest, Manchester, Hamburg, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Krakow and visit Krakow for 2 days.\n**Day 2:** Fly from Krakow to Valencia.\n**Day 2-4:** Visit Valencia for 3 days.\n**Day 4:** Fly from Valencia to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to Budapest.\n**Day 7-9:** Visit Budapest for 3 days.\n**Day 9:** Fly from Budapest to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-15:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Lisbon**Naples**Dubrovnik**Helsinki**Riga**Tallinn**Warsaw",
    "ground_truth_durations": "2**5**5**3**4**2**3**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 6,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Naples",
        "Helsinki"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Naples",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You want to spend 2 days in Riga. You would like to visit Warsaw for 3 days. You would like to visit Dubrovnik for 3 days. You plan to stay in Tallinn for 3 days. You want to meet a friend in Tallinn between day 16 and day 18. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Lisbon. During day 2 and day 6, you have to attend a conference in Lisbon. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 6 and day 10.\n\nHere are the cities that have direct flights:\nDubrovnik and Helsinki, Naples and Helsinki, from Riga to Tallinn, Reykjavik and Helsinki, Helsinki and Riga, Lisbon and Helsinki, Tallinn and Warsaw, Reykjavik and Warsaw, Naples and Dubrovnik, Reykjavik and Lisbon, Lisbon and Riga, Helsinki and Tallinn, Helsinki and Warsaw, Lisbon and Naples, Riga and Warsaw, Lisbon and Warsaw, Naples and Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Helsinki for 4 days. You want to spend 2 days in Riga. You would like to visit Warsaw for 3 days. You would like to visit Dubrovnik for 3 days. You plan to stay in Tallinn for 3 days. You want to meet a friend in Tallinn between day 16 and day 18. You plan to stay in Reykjavik for 2 days. You want to spend 5 days in Lisbon. During day 2 and day 6, you have to attend a conference in Lisbon. You want to spend 5 days in Naples. You have to attend a workshop in Naples between day 6 and day 10.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Helsinki, from Naples to Helsinki, from Riga to Tallinn, from Reykjavik to Helsinki, from Helsinki to Riga, from Lisbon to Helsinki, from Tallinn to Warsaw, from Reykjavik to Warsaw, from Naples to Dubrovnik, from Reykjavik to Lisbon, from Lisbon to Riga, from Helsinki to Tallinn, from Helsinki to Warsaw, from Lisbon to Naples, from Riga to Warsaw, from Lisbon to Warsaw, from Naples to Warsaw.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Lisbon.\n**Day 2-6:** Visit Lisbon for 5 days.\n**Day 6:** Fly from Lisbon to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Helsinki.\n**Day 12-15:** Visit Helsinki for 4 days.\n**Day 15:** Fly from Helsinki to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1160",
    "estimated_output_tokens": 4189,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Reykjavik, Duration: 2 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 2 - 6.\n* City: Naples, Fixed Schedule: Day 6 - 10.\n* City: Tallinn, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Riga, Warsaw, Dubrovnik, Reykjavik] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Helsinki is Day 4. The arrival day of Lisbon is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Riga is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Warsaw is Day 3. The arrival day of Lisbon is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Lisbon is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 2 - 6).\n |- The departure day of Reykjavik is Day 2. The arrival day of Lisbon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 6 - 10).\n   |- The departure day of Lisbon is Day 6. The arrival day of Naples is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lisbon to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 16 - 18).\n     |- The departure day of Naples is Day 10. The arrival day of Tallinn is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Lisbon, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga, Warsaw, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Naples to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 16 - 18).\n       |- The departure day of Helsinki is Day 13. The arrival day of Tallinn is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Lisbon, Naples, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Warsaw, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Helsinki to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 16 - 18).\n         |- The departure day of Riga is Day 14. The arrival day of Tallinn is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Lisbon, Naples, Helsinki, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 16 - 18).\n           |- The departure day of Warsaw is Day 16. The arrival day of Tallinn is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Lisbon, Naples, Helsinki, Riga, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Helsinki to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 16 - 18).\n         |- The departure day of Warsaw is Day 15. The arrival day of Tallinn is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Lisbon, Naples, Helsinki, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Warsaw to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Warsaw to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Naples to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 16 - 18).\n       |- The departure day of Warsaw is Day 12. The arrival day of Tallinn is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Lisbon, Naples, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Warsaw to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Warsaw to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Warsaw to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 16 - 18).\n       |- The departure day of Dubrovnik is Day 12. The arrival day of Tallinn is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Lisbon, Naples, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga, Warsaw] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Dubrovnik to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 16 - 18).\n         |- The departure day of Helsinki is Day 15. The arrival day of Tallinn is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Lisbon, Naples, Dubrovnik, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Warsaw] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Helsinki to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 16 - 18).\n           |- The departure day of Riga is Day 16. The arrival day of Tallinn is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Lisbon, Naples, Dubrovnik, Helsinki, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Riga to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Reykjavik, Lisbon, Naples, Dubrovnik, Helsinki, Riga, Tallinn].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Tallinn to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Reykjavik, Lisbon, Naples, Dubrovnik, Helsinki, Riga, Tallinn, Warsaw].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Lisbon.\n**Day 2-6:** Visit Lisbon for 5 days.\n**Day 6:** Fly from Lisbon to Naples.\n**Day 6-10:** Visit Naples for 5 days.\n**Day 10:** Fly from Naples to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Helsinki.\n**Day 12-15:** Visit Helsinki for 4 days.\n**Day 15:** Fly from Helsinki to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Warsaw.\n**Day 18-20:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Dubrovnik**Helsinki**Krakow**Vilnius**Paris**Madrid**Mykonos",
    "ground_truth_durations": "2**3**2**5**2**2**5**4",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Helsinki",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You plan to visit relatives in Mykonos between day 15 and day 18. You would like to visit Krakow for 5 days. You plan to stay in Vilnius for 2 days. You want to spend 2 days in Helsinki. You want to spend 3 days in Dubrovnik. From day 2 to day 4, there is a annual show you want to attend in Dubrovnik. You want to spend 2 days in Oslo. You would like to meet your friends at Oslo between day 1 and day 2 to tour together. You want to spend 5 days in Madrid. You would like to visit Paris for 2 days.\n\nHere are the cities that have direct flights:\nOslo and Krakow, Oslo and Paris, Paris and Madrid, Helsinki and Vilnius, Oslo and Madrid, Oslo and Helsinki, Helsinki and Krakow, Dubrovnik and Helsinki, Dubrovnik and Madrid, Oslo and Dubrovnik, Krakow and Paris, Madrid and Mykonos, Oslo and Vilnius, from Krakow to Vilnius, Helsinki and Paris, Vilnius and Paris, Helsinki and Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You plan to visit relatives in Mykonos between day 15 and day 18. You would like to visit Krakow for 5 days. You plan to stay in Vilnius for 2 days. You want to spend 2 days in Helsinki. You want to spend 3 days in Dubrovnik. From day 2 to day 4, there is a annual show you want to attend in Dubrovnik. You want to spend 2 days in Oslo. You would like to meet your friends at Oslo between day 1 and day 2 to tour together. You want to spend 5 days in Madrid. You would like to visit Paris for 2 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Krakow, from Oslo to Paris, from Paris to Madrid, from Helsinki to Vilnius, from Oslo to Madrid, from Oslo to Helsinki, from Helsinki to Krakow, from Dubrovnik to Helsinki, from Dubrovnik to Madrid, from Oslo to Dubrovnik, from Krakow to Paris, from Madrid to Mykonos, from Oslo to Vilnius, from Krakow to Vilnius, from Helsinki to Paris, from Vilnius to Paris, from Helsinki to Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to Madrid.\n**Day 11-15:** Visit Madrid for 5 days.\n**Day 15:** Fly from Madrid to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1161",
    "estimated_output_tokens": 2267,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Krakow, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Fixed Schedule: Day 2 - 4.\n* City: Mykonos, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Krakow, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Madrid, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 2 - 4).\n |- The departure day of Oslo is Day 2. The arrival day of Dubrovnik is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Oslo to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 15 - 18).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Mykonos is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Helsinki, Madrid, Paris] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dubrovnik to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 15 - 18).\n     |- The departure day of Helsinki is Day 5. The arrival day of Mykonos is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Oslo, Dubrovnik, Helsinki].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Madrid, Paris] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Helsinki to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 15 - 18).\n       |- The departure day of Krakow is Day 9. The arrival day of Mykonos is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Dubrovnik, Helsinki, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Madrid, Paris] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 15 - 18).\n         |- The departure day of Vilnius is Day 10. The arrival day of Mykonos is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Oslo, Dubrovnik, Helsinki, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Paris] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Vilnius to Madrid.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Vilnius to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Mykonos (Day 15 - 18).\n           |- The departure day of Paris is Day 11. The arrival day of Mykonos is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Oslo, Dubrovnik, Helsinki, Krakow, Vilnius, Paris].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n             |- Try arranging to visit Madrid from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Paris to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 15 - 18).\n             |- The departure day of Madrid is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Oslo, Dubrovnik, Helsinki, Krakow, Vilnius, Paris, Madrid].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n               |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Madrid to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Oslo, Dubrovnik, Helsinki, Krakow, Vilnius, Paris, Madrid, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Helsinki.\n**Day 4-5:** Visit Helsinki for 2 days.\n**Day 5:** Fly from Helsinki to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to Madrid.\n**Day 11-15:** Visit Madrid for 5 days.\n**Day 15:** Fly from Madrid to Mykonos.\n**Day 15-18:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Milan**Split**Krakow**Lisbon**Porto**Warsaw**Tallinn",
    "ground_truth_durations": "5**4**2**3**3**5**4**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Hamburg",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 5. You plan to stay in Warsaw for 4 days. You plan to stay in Tallinn for 2 days. You plan to stay in Porto for 5 days. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 8 and day 9. You want to spend 3 days in Lisbon. You plan to stay in Milan for 4 days. You would like to visit Krakow for 3 days.\n\nHere are the cities that have direct flights:\nKrakow and Warsaw, Milan and Lisbon, Hamburg and Porto, Krakow and Lisbon, Milan and Split, Lisbon and Porto, Split and Warsaw, Hamburg and Milan, Milan and Krakow, Milan and Porto, Warsaw and Tallinn, Split and Krakow, Milan and Warsaw, Hamburg and Lisbon, Porto and Warsaw, Lisbon and Warsaw, Hamburg and Split, Hamburg and Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You want to meet a friend in Hamburg between day 1 and day 5. You plan to stay in Warsaw for 4 days. You plan to stay in Tallinn for 2 days. You plan to stay in Porto for 5 days. You want to spend 2 days in Split. You are going to attend a wedding in Split between day 8 and day 9. You want to spend 3 days in Lisbon. You plan to stay in Milan for 4 days. You would like to visit Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Warsaw, from Milan to Lisbon, from Hamburg to Porto, from Krakow to Lisbon, from Milan to Split, from Lisbon to Porto, from Split to Warsaw, from Hamburg to Milan, from Milan to Krakow, from Milan to Porto, from Warsaw to Tallinn, from Split to Krakow, from Milan to Warsaw, from Hamburg to Lisbon, from Porto to Warsaw, from Lisbon to Warsaw, from Hamburg to Split, from Hamburg to Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Warsaw.\n**Day 17-20:** Visit Warsaw for 4 days.\n**Day 20:** Fly from Warsaw to Tallinn.\n**Day 20-21:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1162",
    "estimated_output_tokens": 4774,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Warsaw, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Lisbon, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 5.\n* City: Split, Fixed Schedule: Day 8 - 9.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Lisbon, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 8 - 9).\n |- The departure day of Hamburg is Day 5. The arrival day of Split is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Porto, Lisbon, Milan, Krakow] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 9).\n   |- The departure day of Warsaw is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Warsaw].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n     |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Warsaw to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 9).\n   |- The departure day of Porto is Day 9. The arrival day of Split is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 9).\n   |- The departure day of Lisbon is Day 7. The arrival day of Split is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Porto, Milan, Krakow] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 8 - 9).\n     |- The departure day of Warsaw is Day 10. The arrival day of Split is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 8 - 9).\n     |- The departure day of Porto is Day 11. The arrival day of Split is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 9).\n   |- The departure day of Milan is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Hamburg, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n     |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Milan, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Porto, Lisbon, Krakow] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Split to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Milan, Split, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto, Lisbon, Krakow] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Warsaw to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Hamburg, Milan, Split, Warsaw, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Krakow] and explore these options in order.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Tallinn to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Tallinn to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Warsaw to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Warsaw to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Warsaw to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Split to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Hamburg, Milan, Split, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Porto, Lisbon] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Krakow to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Milan, Split, Krakow, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto, Lisbon] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Warsaw to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Hamburg, Milan, Split, Krakow, Warsaw, Tallinn].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon] and explore these options in order.\n             |- Try arranging to visit Porto from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Tallinn to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lisbon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Tallinn to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Warsaw to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Warsaw to Lisbon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Krakow to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Krakow to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Krakow to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Lisbon to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon, Warsaw, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Tallinn to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Warsaw to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lisbon to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Lisbon to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon, Porto].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Porto to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon, Porto, Warsaw].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Warsaw to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Hamburg, Milan, Split, Krakow, Lisbon, Porto, Warsaw, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Hamburg and visit Hamburg for 5 days.\n**Day 5:** Fly from Hamburg to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Lisbon.\n**Day 11-13:** Visit Lisbon for 3 days.\n**Day 13:** Fly from Lisbon to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n**Day 17:** Fly from Porto to Warsaw.\n**Day 17-20:** Visit Warsaw for 4 days.\n**Day 20:** Fly from Warsaw to Tallinn.\n**Day 20-21:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Helsinki**Riga**Istanbul**Madrid**Lyon**Amsterdam**Dublin",
    "ground_truth_durations": "5**4**4**4**5**5**5**3",
    "num_cities": 8,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 26,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 18,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Istanbul",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Split. You want to spend 4 days in Helsinki. You plan to stay in Madrid for 5 days. You plan to stay in Riga for 4 days. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 11 and day 14. You would like to visit Amsterdam for 5 days. You have to attend a workshop in Amsterdam between day 22 and day 26. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 26 and day 28. You want to spend 5 days in Lyon. During day 18 and day 22, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nHelsinki and Amsterdam, Helsinki and Madrid, Split and Lyon, Istanbul and Madrid, Helsinki and Riga, Riga and Dublin, Split and Dublin, Madrid and Lyon, Split and Madrid, Split and Amsterdam, Istanbul and Dublin, Istanbul and Amsterdam, Helsinki and Dublin, Amsterdam and Dublin, Helsinki and Istanbul, Lyon and Amsterdam, Riga and Amsterdam, Split and Helsinki, Madrid and Dublin, Riga and Istanbul, Madrid and Amsterdam, Lyon and Dublin, Istanbul and Lyon.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Split. You want to spend 4 days in Helsinki. You plan to stay in Madrid for 5 days. You plan to stay in Riga for 4 days. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 11 and day 14. You would like to visit Amsterdam for 5 days. You have to attend a workshop in Amsterdam between day 22 and day 26. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 26 and day 28. You want to spend 5 days in Lyon. During day 18 and day 22, you have to attend a conference in Lyon.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Amsterdam, from Helsinki to Madrid, from Split to Lyon, from Istanbul to Madrid, from Helsinki to Riga, from Riga to Dublin, from Split to Dublin, from Madrid to Lyon, from Split to Madrid, from Split to Amsterdam, from Istanbul to Dublin, from Istanbul to Amsterdam, from Helsinki to Dublin, from Amsterdam to Dublin, from Helsinki to Istanbul, from Lyon to Amsterdam, from Riga to Amsterdam, from Split to Helsinki, from Madrid to Dublin, from Riga to Istanbul, from Madrid to Amsterdam, from Lyon to Dublin, from Istanbul to Lyon.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 28 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Madrid.\n**Day 14-18:** Visit Madrid for 5 days.\n**Day 18:** Fly from Madrid to Lyon.\n**Day 18-22:** Visit Lyon for 5 days.\n**Day 22:** Fly from Lyon to Amsterdam.\n**Day 22-26:** Visit Amsterdam for 5 days.\n**Day 26:** Fly from Amsterdam to Dublin.\n**Day 26-28:** Visit Dublin for 3 days.",
    "id": "trip_planning_example_1163",
    "estimated_output_tokens": 2115,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Madrid, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 26 - 28.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 11 - 14.\n* City: Lyon, Fixed Schedule: Day 18 - 22.\n* City: Amsterdam, Fixed Schedule: Day 22 - 26.\n* City: Dublin, Fixed Schedule: Day 26 - 28.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Madrid, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Helsinki, Madrid, Riga] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 11 - 14).\n |- The departure day of Split is Day 5. The arrival day of Istanbul is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Madrid, Riga] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 11 - 14).\n   |- The departure day of Helsinki is Day 8. The arrival day of Istanbul is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Riga] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Helsinki to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 11 - 14).\n     |- The departure day of Madrid is Day 12. The arrival day of Istanbul is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Helsinki to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 11 - 14).\n     |- The departure day of Riga is Day 11. The arrival day of Istanbul is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Helsinki, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Riga to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 18 - 22).\n       |- The departure day of Istanbul is Day 14. The arrival day of Lyon is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Helsinki, Riga, Istanbul].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n         |- Try arranging to visit Madrid from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Istanbul to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 18 - 22).\n         |- The departure day of Madrid is Day 18. The arrival day of Lyon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Split, Helsinki, Riga, Istanbul, Madrid].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Madrid to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Amsterdam (Day 22 - 26).\n           |- The departure day of Lyon is Day 22. The arrival day of Amsterdam is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Split, Helsinki, Riga, Istanbul, Madrid, Lyon].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Lyon to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Dublin (Day 26 - 28).\n             |- The departure day of Amsterdam is Day 26. The arrival day of Dublin is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Split, Helsinki, Riga, Istanbul, Madrid, Lyon, Amsterdam].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- Yes. The city with an arrival day of Day 26 - is fixed: Dublin.\n               |- Try arranging to visit Dublin from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n               |- Check for direct flight from Amsterdam to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Split, Helsinki, Riga, Istanbul, Madrid, Lyon, Amsterdam, Dublin].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Riga.\n**Day 8-11:** Visit Riga for 4 days.\n**Day 11:** Fly from Riga to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Madrid.\n**Day 14-18:** Visit Madrid for 5 days.\n**Day 18:** Fly from Madrid to Lyon.\n**Day 18-22:** Visit Lyon for 5 days.\n**Day 22:** Fly from Lyon to Amsterdam.\n**Day 22-26:** Visit Amsterdam for 5 days.\n**Day 26:** Fly from Amsterdam to Dublin.\n**Day 26-28:** Visit Dublin for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Reykjavik**Stockholm**Split**Copenhagen**Venice**Vienna**Porto",
    "ground_truth_durations": "3**2**2**3**2**4**3**5",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Nice",
        "Porto"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Vienna",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 3 and day 4. You plan to stay in Stockholm for 2 days. You would like to meet your friends at Stockholm between day 4 and day 5 to tour together. You would like to visit Porto for 5 days. You are going to attend a wedding in Porto between day 13 and day 17. You want to spend 3 days in Nice. You want to spend 4 days in Venice. You plan to stay in Vienna for 3 days. You have to attend a workshop in Vienna between day 11 and day 13. You would like to visit Split for 3 days. You want to spend 2 days in Copenhagen.\n\nHere are the cities that have direct flights:\nCopenhagen and Vienna, Nice and Stockholm, Split and Copenhagen, Nice and Reykjavik, Nice and Porto, Reykjavik and Vienna, Stockholm and Copenhagen, Nice and Venice, Nice and Vienna, Reykjavik and Copenhagen, Nice and Copenhagen, Stockholm and Vienna, Venice and Vienna, Copenhagen and Porto, Reykjavik and Stockholm, Stockholm and Split, Split and Vienna, Copenhagen and Venice, Vienna and Porto.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 3 and day 4. You plan to stay in Stockholm for 2 days. You would like to meet your friends at Stockholm between day 4 and day 5 to tour together. You would like to visit Porto for 5 days. You are going to attend a wedding in Porto between day 13 and day 17. You want to spend 3 days in Nice. You want to spend 4 days in Venice. You plan to stay in Vienna for 3 days. You have to attend a workshop in Vienna between day 11 and day 13. You would like to visit Split for 3 days. You want to spend 2 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Vienna, from Nice to Stockholm, from Split to Copenhagen, from Nice to Reykjavik, from Nice to Porto, from Reykjavik to Vienna, from Stockholm to Copenhagen, from Nice to Venice, from Nice to Vienna, from Reykjavik to Copenhagen, from Nice to Copenhagen, from Stockholm to Vienna, from Venice to Vienna, from Copenhagen to Porto, from Reykjavik to Stockholm, from Stockholm to Split, from Split to Vienna, from Copenhagen to Venice, from Vienna to Porto.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Reykjavik.\n**Day 3-4:** Visit Reykjavik for 2 days.\n**Day 4:** Fly from Reykjavik to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-8:** Visit Copenhagen for 2 days.\n**Day 8:** Fly from Copenhagen to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Porto.\n**Day 13-17:** Visit Porto for 5 days.",
    "id": "trip_planning_example_1164",
    "estimated_output_tokens": 2134,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Nice, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Split, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Fixed Schedule: Day 4 - 5.\n* City: Vienna, Fixed Schedule: Day 11 - 13.\n* City: Porto, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Nice, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Split, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Venice, Split, Copenhagen] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 4).\n |- The departure day of Nice is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Nice to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 4 - 5).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Stockholm is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Nice, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Stockholm.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 11 - 13).\n     |- The departure day of Stockholm is Day 5. The arrival day of Vienna is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Nice, Reykjavik, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Split, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Stockholm to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stockholm to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 11 - 13).\n       |- The departure day of Split is Day 7. The arrival day of Vienna is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Nice, Reykjavik, Stockholm, Split].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Split to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Split to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 11 - 13).\n         |- The departure day of Copenhagen is Day 8. The arrival day of Vienna is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Nice, Reykjavik, Stockholm, Split, Copenhagen].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n           |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Copenhagen to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vienna (Day 11 - 13).\n           |- The departure day of Venice is Day 11. The arrival day of Vienna is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Nice, Reykjavik, Stockholm, Split, Copenhagen, Venice].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Venice to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 13 - 17).\n             |- The departure day of Vienna is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Nice, Reykjavik, Stockholm, Split, Copenhagen, Venice, Vienna].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Vienna to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Nice, Reykjavik, Stockholm, Split, Copenhagen, Venice, Vienna, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Reykjavik.\n**Day 3-4:** Visit Reykjavik for 2 days.\n**Day 4:** Fly from Reykjavik to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Copenhagen.\n**Day 7-8:** Visit Copenhagen for 2 days.\n**Day 8:** Fly from Copenhagen to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Vienna.\n**Day 11-13:** Visit Vienna for 3 days.\n**Day 13:** Fly from Vienna to Porto.\n**Day 13-17:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Barcelona**Krakow**Copenhagen**Budapest**Nice**Lyon**Split",
    "ground_truth_durations": "5**3**5**5**2**2**5**4",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You would like to visit Budapest for 2 days. You want to spend 5 days in Helsinki. You plan to visit relatives in Helsinki between day 1 and day 5. You plan to stay in Split for 4 days. You would like to meet your friends at Split between day 21 and day 24 to tour together. You would like to visit Copenhagen for 5 days. You are going to attend a wedding in Copenhagen between day 11 and day 15. You would like to visit Lyon for 5 days. You want to spend 2 days in Nice. You plan to stay in Krakow for 5 days. From day 7 to day 11, there is a annual show you want to attend in Krakow.\n\nHere are the cities that have direct flights:\nBarcelona and Krakow, Copenhagen and Budapest, Barcelona and Lyon, Helsinki and Nice, Barcelona and Split, Helsinki and Copenhagen, Copenhagen and Nice, Barcelona and Budapest, Krakow and Copenhagen, Helsinki and Krakow, Helsinki and Split, Helsinki and Budapest, Lyon and Split, Budapest and Nice, Krakow and Split, Copenhagen and Split, Nice and Lyon, Helsinki and Barcelona, Barcelona and Nice, Barcelona and Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You would like to visit Budapest for 2 days. You want to spend 5 days in Helsinki. You plan to visit relatives in Helsinki between day 1 and day 5. You plan to stay in Split for 4 days. You would like to meet your friends at Split between day 21 and day 24 to tour together. You would like to visit Copenhagen for 5 days. You are going to attend a wedding in Copenhagen between day 11 and day 15. You would like to visit Lyon for 5 days. You want to spend 2 days in Nice. You plan to stay in Krakow for 5 days. From day 7 to day 11, there is a annual show you want to attend in Krakow.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Krakow, from Copenhagen to Budapest, from Barcelona to Lyon, from Helsinki to Nice, from Barcelona to Split, from Helsinki to Copenhagen, from Copenhagen to Nice, from Barcelona to Budapest, from Krakow to Copenhagen, from Helsinki to Krakow, from Helsinki to Split, from Helsinki to Budapest, from Lyon to Split, from Budapest to Nice, from Krakow to Split, from Copenhagen to Split, from Nice to Lyon, from Helsinki to Barcelona, from Barcelona to Nice, from Barcelona to Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n**Day 17:** Fly from Nice to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Split.\n**Day 21-24:** Visit Split for 4 days.",
    "id": "trip_planning_example_1165",
    "estimated_output_tokens": 2061,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Lyon, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Fixed Schedule: Day 7 - 11.\n* City: Copenhagen, Fixed Schedule: Day 11 - 15.\n* City: Split, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Nice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 11).\n |- The departure day of Helsinki is Day 5. The arrival day of Krakow is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Budapest, Lyon, Nice] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Helsinki to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 7 - 11).\n   |- The departure day of Barcelona is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 11 - 15).\n     |- The departure day of Krakow is Day 11. The arrival day of Copenhagen is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Helsinki, Barcelona, Krakow].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Krakow to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 21 - 24).\n       |- The departure day of Copenhagen is Day 15. The arrival day of Split is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Helsinki, Barcelona, Krakow, Copenhagen].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Lyon, Nice] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Copenhagen to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 21 - 24).\n         |- The departure day of Budapest is Day 16. The arrival day of Split is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Barcelona, Krakow, Copenhagen, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Nice] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Budapest to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Budapest to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 21 - 24).\n           |- The departure day of Nice is Day 17. The arrival day of Split is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Helsinki, Barcelona, Krakow, Copenhagen, Budapest, Nice].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Nice to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 21 - 24).\n             |- The departure day of Lyon is Day 21. The arrival day of Split is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Helsinki, Barcelona, Krakow, Copenhagen, Budapest, Nice, Lyon].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Split.\n               |- Try arranging to visit Split from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Lyon to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Helsinki, Barcelona, Krakow, Copenhagen, Budapest, Nice, Lyon, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-11:** Visit Krakow for 5 days.\n**Day 11:** Fly from Krakow to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n**Day 17:** Fly from Nice to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Split.\n**Day 21-24:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Paris**Venice**Rome**Prague**Reykjavik**Athens**Mykonos",
    "ground_truth_durations": "2**5**3**2**5**2**4**2",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Rome"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Rome",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You want to spend 5 days in Prague. You plan to visit relatives in Prague between day 9 and day 13. You want to spend 2 days in Reykjavik. From day 13 to day 14, there is a annual show you want to attend in Reykjavik. You plan to stay in Venice for 3 days. You plan to stay in Tallinn for 2 days. You would like to visit Rome for 2 days. You are going to attend a wedding in Rome between day 8 and day 9. You want to spend 5 days in Paris. During day 2 and day 6, you have to attend a conference in Paris. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Rome, Paris and Prague, Rome and Mykonos, Paris and Reykjavik, from Reykjavik to Athens, Athens and Mykonos, Paris and Venice, Prague and Athens, Paris and Rome, Venice and Athens, Tallinn and Prague, Paris and Athens, Tallinn and Paris, Prague and Reykjavik, Rome and Prague, Rome and Athens, Rome and Reykjavik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 4 days. You want to spend 5 days in Prague. You plan to visit relatives in Prague between day 9 and day 13. You want to spend 2 days in Reykjavik. From day 13 to day 14, there is a annual show you want to attend in Reykjavik. You plan to stay in Venice for 3 days. You plan to stay in Tallinn for 2 days. You would like to visit Rome for 2 days. You are going to attend a wedding in Rome between day 8 and day 9. You want to spend 5 days in Paris. During day 2 and day 6, you have to attend a conference in Paris. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Rome, from Paris to Prague, from Rome to Mykonos, from Paris to Reykjavik, from Reykjavik to Athens, from Athens to Mykonos, from Paris to Venice, from Prague to Athens, from Paris to Rome, from Venice to Athens, from Tallinn to Prague, from Paris to Athens, from Tallinn to Paris, from Prague to Reykjavik, from Rome to Prague, from Rome to Athens, from Rome to Reykjavik.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Prague.\n**Day 9-13:** Visit Prague for 5 days.\n**Day 13:** Fly from Prague to Reykjavik.\n**Day 13-14:** Visit Reykjavik for 2 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1166",
    "estimated_output_tokens": 2333,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 4 days.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Venice, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 2 - 6.\n* City: Rome, Fixed Schedule: Day 8 - 9.\n* City: Prague, Fixed Schedule: Day 9 - 13.\n* City: Reykjavik, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Venice, Tallinn, Mykonos] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Athens is Day 4. The arrival day of Paris is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Venice is Day 3. The arrival day of Paris is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Tallinn is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 8 - 9).\n   |- The departure day of Paris is Day 6. The arrival day of Rome is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Venice, Mykonos] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 8 - 9).\n     |- The departure day of Athens is Day 9. The arrival day of Rome is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 8 - 9).\n     |- The departure day of Venice is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 9 - 13).\n       |- The departure day of Rome is Day 9. The arrival day of Prague is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Paris, Venice, Rome].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Rome to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 13 - 14).\n         |- The departure day of Prague is Day 13. The arrival day of Reykjavik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Paris, Venice, Rome, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Prague to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Paris, Venice, Rome, Prague, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos] and explore these options in order.\n             |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Reykjavik to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Paris, Venice, Rome, Prague, Reykjavik, Athens].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Athens to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Tallinn, Paris, Venice, Rome, Prague, Reykjavik, Athens, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Prague.\n**Day 9-13:** Visit Prague for 5 days.\n**Day 13:** Fly from Prague to Reykjavik.\n**Day 13-14:** Visit Reykjavik for 2 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Mykonos.\n**Day 17-18:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Naples**Venice**Istanbul**Dublin**Frankfurt**Krakow**Brussels",
    "ground_truth_durations": "4**4**3**3**5**3**4**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 15,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Naples",
        "Dublin"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Dublin",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. From day 11 to day 15, there is a annual show you want to attend in Dublin. You want to spend 4 days in Krakow. You plan to stay in Istanbul for 3 days. You want to meet a friend in Istanbul between day 9 and day 11. You would like to visit Venice for 3 days. You would like to visit Naples for 4 days. You want to spend 2 days in Brussels. You want to spend 4 days in Mykonos. You plan to visit relatives in Mykonos between day 1 and day 4. You plan to stay in Frankfurt for 3 days. You would like to meet your friends at Frankfurt between day 15 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nDublin and Brussels, Mykonos and Naples, Venice and Istanbul, Frankfurt and Krakow, Naples and Dublin, Krakow and Brussels, Naples and Istanbul, Naples and Brussels, Istanbul and Frankfurt, from Brussels to Frankfurt, Istanbul and Krakow, Istanbul and Brussels, Venice and Frankfurt, Naples and Frankfurt, Dublin and Krakow, Venice and Brussels, Naples and Venice, Istanbul and Dublin, Venice and Dublin, Dublin and Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. From day 11 to day 15, there is a annual show you want to attend in Dublin. You want to spend 4 days in Krakow. You plan to stay in Istanbul for 3 days. You want to meet a friend in Istanbul between day 9 and day 11. You would like to visit Venice for 3 days. You would like to visit Naples for 4 days. You want to spend 2 days in Brussels. You want to spend 4 days in Mykonos. You plan to visit relatives in Mykonos between day 1 and day 4. You plan to stay in Frankfurt for 3 days. You would like to meet your friends at Frankfurt between day 15 and day 17 to tour together.\n\nHere are the cities that have direct flights:\nfrom Dublin to Brussels, from Mykonos to Naples, from Venice to Istanbul, from Frankfurt to Krakow, from Naples to Dublin, from Krakow to Brussels, from Naples to Istanbul, from Naples to Brussels, from Istanbul to Frankfurt, from Brussels to Frankfurt, from Istanbul to Krakow, from Istanbul to Brussels, from Venice to Frankfurt, from Naples to Frankfurt, from Dublin to Krakow, from Venice to Brussels, from Naples to Venice, from Istanbul to Dublin, from Venice to Dublin, from Dublin to Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Dublin.\n**Day 11-15:** Visit Dublin for 5 days.\n**Day 15:** Fly from Dublin to Frankfurt.\n**Day 15-17:** Visit Frankfurt for 3 days.\n**Day 17:** Fly from Frankfurt to Krakow.\n**Day 17-20:** Visit Krakow for 4 days.\n**Day 20:** Fly from Krakow to Brussels.\n**Day 20-21:** Visit Brussels for 2 days.",
    "id": "trip_planning_example_1167",
    "estimated_output_tokens": 2109,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Krakow, Duration: 4 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Venice, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 9 - 11.\n* City: Dublin, Fixed Schedule: Day 11 - 15.\n* City: Frankfurt, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 11).\n |- The departure day of Mykonos is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Naples, Brussels] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 11).\n   |- The departure day of Naples is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Brussels] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Naples to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Naples to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 11).\n     |- The departure day of Venice is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Naples, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 11 - 15).\n       |- The departure day of Istanbul is Day 11. The arrival day of Dublin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Naples, Venice, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Istanbul to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 15 - 17).\n         |- The departure day of Dublin is Day 15. The arrival day of Frankfurt is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Mykonos, Naples, Venice, Istanbul, Dublin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Dublin to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Naples, Venice, Istanbul, Dublin, Frankfurt].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Brussels] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Frankfurt to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Mykonos, Naples, Venice, Istanbul, Dublin, Frankfurt, Krakow].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n               |- Try arranging to visit Brussels from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Krakow to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Mykonos, Naples, Venice, Istanbul, Dublin, Frankfurt, Krakow, Brussels].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Naples.\n**Day 4-7:** Visit Naples for 4 days.\n**Day 7:** Fly from Naples to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Dublin.\n**Day 11-15:** Visit Dublin for 5 days.\n**Day 15:** Fly from Dublin to Frankfurt.\n**Day 15-17:** Visit Frankfurt for 3 days.\n**Day 17:** Fly from Frankfurt to Krakow.\n**Day 17-20:** Visit Krakow for 4 days.\n**Day 20:** Fly from Krakow to Brussels.\n**Day 20-21:** Visit Brussels for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Stockholm**Riga**Nice**Istanbul**Naples**Rome**Seville",
    "ground_truth_durations": "2**3**4**5**2**2**3**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Istanbul",
        "Rome"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Nice",
        "Rome"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Nice",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You would like to visit Rome for 3 days. You want to spend 2 days in Stuttgart. You plan to stay in Istanbul for 2 days. During day 11 and day 12, you have to attend a conference in Istanbul. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 7 and day 11. You plan to stay in Seville for 2 days. From day 15 to day 16, there is a annual show you want to attend in Seville. You would like to visit Stockholm for 3 days. You would like to visit Naples for 2 days.\n\nHere are the cities that have direct flights:\nStockholm and Nice, Stuttgart and Stockholm, Istanbul and Naples, Istanbul and Rome, Riga and Nice, Stockholm and Riga, Stuttgart and Istanbul, Riga and Istanbul, Stuttgart and Naples, Rome and Seville, Stockholm and Istanbul, from Rome to Riga, Nice and Naples, Naples and Rome, Nice and Rome, Stockholm and Rome, Stuttgart and Rome, Nice and Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You would like to visit Rome for 3 days. You want to spend 2 days in Stuttgart. You plan to stay in Istanbul for 2 days. During day 11 and day 12, you have to attend a conference in Istanbul. You plan to stay in Nice for 5 days. You plan to visit relatives in Nice between day 7 and day 11. You plan to stay in Seville for 2 days. From day 15 to day 16, there is a annual show you want to attend in Seville. You would like to visit Stockholm for 3 days. You would like to visit Naples for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Nice, from Stuttgart to Stockholm, from Istanbul to Naples, from Istanbul to Rome, from Riga to Nice, from Stockholm to Riga, from Stuttgart to Istanbul, from Riga to Istanbul, from Stuttgart to Naples, from Rome to Seville, from Stockholm to Istanbul, from Rome to Riga, from Nice to Naples, from Naples to Rome, from Nice to Rome, from Stockholm to Rome, from Stuttgart to Rome, from Nice to Istanbul.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Stockholm.\n**Day 2-4:** Visit Stockholm for 3 days.\n**Day 4:** Fly from Stockholm to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Naples.\n**Day 12-13:** Visit Naples for 2 days.\n**Day 13:** Fly from Naples to Rome.\n**Day 13-15:** Visit Rome for 3 days.\n**Day 15:** Fly from Rome to Seville.\n**Day 15-16:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1168",
    "estimated_output_tokens": 4674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Stockholm, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 7 - 11.\n* City: Istanbul, Fixed Schedule: Day 11 - 12.\n* City: Seville, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Rome, Stuttgart, Stockholm, Naples] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 11).\n |- The departure day of Riga is Day 4. The arrival day of Nice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Stuttgart, Stockholm, Naples] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 11).\n |- The departure day of Rome is Day 3. The arrival day of Nice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Stockholm, Naples] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Rome to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 7 - 11).\n   |- The departure day of Riga is Day 6. The arrival day of Nice is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Riga].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm, Naples] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Riga to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Riga to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Riga to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Rome to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 11).\n |- The departure day of Stuttgart is Day 2. The arrival day of Nice is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Rome, Stockholm, Naples] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 7 - 11).\n   |- The departure day of Rome is Day 4. The arrival day of Nice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Stockholm, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 11).\n     |- The departure day of Riga is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, Rome, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 11 - 12).\n       |- The departure day of Nice is Day 11. The arrival day of Istanbul is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, Rome, Riga, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Nice to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 15 - 16).\n         |- The departure day of Istanbul is Day 12. The arrival day of Seville is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stuttgart, Rome, Riga, Nice, Istanbul].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Naples] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Istanbul to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Istanbul to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 15 - 16).\n           |- The departure day of Naples is Day 13. The arrival day of Seville is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Stuttgart, Rome, Riga, Nice, Istanbul, Naples].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Naples to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 7 - 11).\n   |- The departure day of Stockholm is Day 4. The arrival day of Nice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Rome, Naples] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Stockholm to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 11).\n     |- The departure day of Riga is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stuttgart, Stockholm, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 11 - 12).\n       |- The departure day of Nice is Day 11. The arrival day of Istanbul is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stuttgart, Stockholm, Riga, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Nice to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 15 - 16).\n         |- The departure day of Istanbul is Day 12. The arrival day of Seville is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stuttgart, Stockholm, Riga, Nice, Istanbul].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Naples] and explore these options in order.\n           |- Try arranging to visit Rome from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Istanbul to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 15 - 16).\n           |- The departure day of Rome is Day 14. The arrival day of Seville is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stuttgart, Stockholm, Riga, Nice, Istanbul, Rome].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Rome to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Istanbul to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 15 - 16).\n           |- The departure day of Naples is Day 13. The arrival day of Seville is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Stuttgart, Stockholm, Riga, Nice, Istanbul, Naples].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n             |- Try arranging to visit Rome from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Naples to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 15 - 16).\n             |- The departure day of Rome is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Stuttgart, Stockholm, Riga, Nice, Istanbul, Naples, Rome].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Rome to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Stuttgart, Stockholm, Riga, Nice, Istanbul, Naples, Rome, Seville].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Stockholm.\n**Day 2-4:** Visit Stockholm for 3 days.\n**Day 4:** Fly from Stockholm to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Naples.\n**Day 12-13:** Visit Naples for 2 days.\n**Day 13:** Fly from Naples to Rome.\n**Day 13-15:** Visit Rome for 3 days.\n**Day 15:** Fly from Rome to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Budapest**Barcelona**Porto**Valencia**Madrid**Stockholm**Riga",
    "ground_truth_durations": "5**4**5**3**5**3**4**4",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Budapest",
        "Barcelona"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Porto",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 3 days. You plan to stay in Budapest for 4 days. You have to attend a workshop in Budapest between day 5 and day 8. You would like to visit Barcelona for 5 days. You plan to visit relatives in Barcelona between day 8 and day 12. You would like to visit Riga for 4 days. You plan to stay in Porto for 3 days. You want to spend 5 days in Valencia. You would like to meet your friends at Valencia between day 14 and day 18 to tour together. You would like to visit Reykjavik for 5 days. From day 1 to day 5, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nReykjavik and Stockholm, from Reykjavik to Madrid, Stockholm and Riga, Barcelona and Madrid, Valencia and Madrid, Reykjavik and Barcelona, Madrid and Stockholm, Barcelona and Porto, Barcelona and Riga, Budapest and Madrid, Barcelona and Stockholm, Budapest and Barcelona, Porto and Valencia, Barcelona and Valencia, Reykjavik and Budapest, Porto and Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 3 days. You plan to stay in Budapest for 4 days. You have to attend a workshop in Budapest between day 5 and day 8. You would like to visit Barcelona for 5 days. You plan to visit relatives in Barcelona between day 8 and day 12. You would like to visit Riga for 4 days. You plan to stay in Porto for 3 days. You want to spend 5 days in Valencia. You would like to meet your friends at Valencia between day 14 and day 18 to tour together. You would like to visit Reykjavik for 5 days. From day 1 to day 5, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stockholm, from Reykjavik to Madrid, from Stockholm to Riga, from Barcelona to Madrid, from Valencia to Madrid, from Reykjavik to Barcelona, from Madrid to Stockholm, from Barcelona to Porto, from Barcelona to Riga, from Budapest to Madrid, from Barcelona to Stockholm, from Budapest to Barcelona, from Porto to Valencia, from Barcelona to Valencia, from Reykjavik to Budapest, from Porto to Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-18:** Visit Valencia for 5 days.\n**Day 18:** Fly from Valencia to Madrid.\n**Day 18-20:** Visit Madrid for 3 days.\n**Day 20:** Fly from Madrid to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Riga.\n**Day 23-26:** Visit Riga for 4 days.",
    "id": "trip_planning_example_1169",
    "estimated_output_tokens": 2359,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 3 days.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Riga, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 5.\n* City: Budapest, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Fixed Schedule: Day 8 - 12.\n* City: Valencia, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Madrid, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 8).\n |- The departure day of Reykjavik is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 8 - 12).\n   |- The departure day of Budapest is Day 8. The arrival day of Barcelona is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Budapest to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 14 - 18).\n     |- The departure day of Barcelona is Day 12. The arrival day of Valencia is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Budapest, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Porto, Stockholm] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Barcelona to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 18).\n       |- The departure day of Madrid is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Budapest, Barcelona, Madrid].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Barcelona to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 18).\n       |- The departure day of Riga is Day 15. The arrival day of Valencia is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Barcelona to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 18).\n       |- The departure day of Porto is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Budapest, Barcelona, Porto].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Porto to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Reykjavik, Budapest, Barcelona, Porto, Valencia].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Riga, Stockholm] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Valencia to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Reykjavik, Budapest, Barcelona, Porto, Valencia, Madrid].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Stockholm] and explore these options in order.\n             |- Try arranging to visit Riga from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Madrid to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Madrid to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Reykjavik, Budapest, Barcelona, Porto, Valencia, Madrid, Stockholm].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Stockholm to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Reykjavik, Budapest, Barcelona, Porto, Valencia, Madrid, Stockholm, Riga].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Barcelona.\n**Day 8-12:** Visit Barcelona for 5 days.\n**Day 12:** Fly from Barcelona to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-18:** Visit Valencia for 5 days.\n**Day 18:** Fly from Valencia to Madrid.\n**Day 18-20:** Visit Madrid for 3 days.\n**Day 20:** Fly from Madrid to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Riga.\n**Day 23-26:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lyon**Split**Stockholm**Reykjavik**Athens**Stuttgart**Manchester",
    "ground_truth_durations": "4**2**4**3**5**2**3**3",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Split"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Manchester",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. During day 15 and day 17, you have to attend a conference in Stuttgart. You would like to visit Reykjavik for 5 days. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 4 and day 5. You plan to stay in Split for 4 days. You want to spend 3 days in Manchester. You would like to meet your friends at Manchester between day 17 and day 19 to tour together. You plan to stay in Stockholm for 3 days. You have to attend a workshop in Stockholm between day 8 and day 10. You plan to stay in Bucharest for 4 days. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nLyon and Split, Stockholm and Athens, Athens and Stuttgart, Split and Athens, Split and Stuttgart, Split and Stockholm, Stuttgart and Manchester, from Reykjavik to Athens, Bucharest and Manchester, Bucharest and Athens, Stockholm and Reykjavik, Athens and Manchester, from Reykjavik to Stuttgart, Stockholm and Stuttgart, Stockholm and Manchester, Bucharest and Lyon, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. During day 15 and day 17, you have to attend a conference in Stuttgart. You would like to visit Reykjavik for 5 days. You would like to visit Lyon for 2 days. You want to meet a friend in Lyon between day 4 and day 5. You plan to stay in Split for 4 days. You want to spend 3 days in Manchester. You would like to meet your friends at Manchester between day 17 and day 19 to tour together. You plan to stay in Stockholm for 3 days. You have to attend a workshop in Stockholm between day 8 and day 10. You plan to stay in Bucharest for 4 days. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Lyon to Split, from Stockholm to Athens, from Athens to Stuttgart, from Split to Athens, from Split to Stuttgart, from Split to Stockholm, from Stuttgart to Manchester, from Reykjavik to Athens, from Bucharest to Manchester, from Bucharest to Athens, from Stockholm to Reykjavik, from Athens to Manchester, from Reykjavik to Stuttgart, from Stockholm to Stuttgart, from Stockholm to Manchester, from Bucharest to Lyon, from Manchester to Split.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-15:** Visit Athens for 2 days.\n**Day 15:** Fly from Athens to Stuttgart.\n**Day 15-17:** Visit Stuttgart for 3 days.\n**Day 17:** Fly from Stuttgart to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_1170",
    "estimated_output_tokens": 2469,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Reykjavik, Duration: 5 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Split, Duration: 4 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 4 - 5.\n* City: Stockholm, Fixed Schedule: Day 8 - 10.\n* City: Stuttgart, Fixed Schedule: Day 15 - 17.\n* City: Manchester, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Split, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Split, Bucharest, Athens] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Reykjavik is Day 5. The arrival day of Lyon is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Split is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Split to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 5).\n |- The departure day of Bucharest is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 8 - 10).\n   |- The departure day of Lyon is Day 5. The arrival day of Stockholm is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Split, Athens] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lyon to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lyon to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 10).\n     |- The departure day of Split is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Lyon, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Split to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 15 - 17).\n       |- The departure day of Stockholm is Day 10. The arrival day of Stuttgart is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Bucharest, Lyon, Split, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Athens] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 15 - 17).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Stuttgart is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Lyon, Split, Stockholm, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n           |- Try arranging to visit Athens from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 15 - 17).\n           |- The departure day of Athens is Day 15. The arrival day of Stuttgart is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Bucharest, Lyon, Split, Stockholm, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Athens to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 17 - 19).\n             |- The departure day of Stuttgart is Day 17. The arrival day of Manchester is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Bucharest, Lyon, Split, Stockholm, Reykjavik, Athens, Stuttgart].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Stuttgart to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Bucharest, Lyon, Split, Stockholm, Reykjavik, Athens, Stuttgart, Manchester].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Lyon.\n**Day 4-5:** Visit Lyon for 2 days.\n**Day 5:** Fly from Lyon to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-15:** Visit Athens for 2 days.\n**Day 15:** Fly from Athens to Stuttgart.\n**Day 15-17:** Visit Stuttgart for 3 days.\n**Day 17:** Fly from Stuttgart to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Madrid**Munich**Split**Stockholm**Santorini**Dublin**Lyon",
    "ground_truth_durations": "2**4**4**3**2**4**3**2",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Munich",
        "Dublin"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Madrid",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 2 days. You plan to stay in Santorini for 4 days. You want to spend 3 days in Dublin. You want to spend 4 days in Madrid. From day 2 to day 5, there is a annual show you want to attend in Madrid. You would like to visit Barcelona for 2 days. You plan to visit relatives in Barcelona between day 1 and day 2. You would like to visit Split for 3 days. During day 8 and day 10, you have to attend a conference in Split. You want to spend 4 days in Munich. You would like to visit Lyon for 2 days. You are going to attend a wedding in Lyon between day 16 and day 17.\n\nHere are the cities that have direct flights:\nMadrid and Stockholm, Barcelona and Split, Madrid and Santorini, Munich and Stockholm, Munich and Dublin, Munich and Lyon, Santorini and Dublin, Dublin and Lyon, Barcelona and Santorini, Madrid and Dublin, Barcelona and Madrid, Barcelona and Munich, from Stockholm to Santorini, Barcelona and Stockholm, Madrid and Split, Barcelona and Lyon, Stockholm and Dublin, Split and Lyon, Munich and Split, Split and Dublin, Split and Stockholm, Madrid and Munich, Barcelona and Dublin, Madrid and Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 2 days. You plan to stay in Santorini for 4 days. You want to spend 3 days in Dublin. You want to spend 4 days in Madrid. From day 2 to day 5, there is a annual show you want to attend in Madrid. You would like to visit Barcelona for 2 days. You plan to visit relatives in Barcelona between day 1 and day 2. You would like to visit Split for 3 days. During day 8 and day 10, you have to attend a conference in Split. You want to spend 4 days in Munich. You would like to visit Lyon for 2 days. You are going to attend a wedding in Lyon between day 16 and day 17.\n\nHere are the cities that have direct flights:\nfrom Madrid to Stockholm, from Barcelona to Split, from Madrid to Santorini, from Munich to Stockholm, from Munich to Dublin, from Munich to Lyon, from Santorini to Dublin, from Dublin to Lyon, from Barcelona to Santorini, from Madrid to Dublin, from Barcelona to Madrid, from Barcelona to Munich, from Stockholm to Santorini, from Barcelona to Stockholm, from Madrid to Split, from Barcelona to Lyon, from Stockholm to Dublin, from Split to Lyon, from Munich to Split, from Split to Dublin, from Split to Stockholm, from Madrid to Munich, from Barcelona to Dublin, from Madrid to Lyon.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Split.\n**Day 8-10:** Visit Split for 3 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.\n**Day 14:** Fly from Santorini to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1171",
    "estimated_output_tokens": 3270,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Munich, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Fixed Schedule: Day 2 - 5.\n* City: Split, Fixed Schedule: Day 8 - 10.\n* City: Lyon, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Dublin, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Barcelona is Day 2. The arrival day of Madrid is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Barcelona to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 8 - 10).\n   |- The departure day of Madrid is Day 5. The arrival day of Split is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Barcelona, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Dublin, Munich] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 10).\n     |- The departure day of Stockholm is Day 6. The arrival day of Split is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Barcelona, Madrid, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin, Munich] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 8 - 10).\n       |- The departure day of Santorini is Day 9. The arrival day of Split is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dublin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Stockholm to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 8 - 10).\n       |- The departure day of Dublin is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Madrid, Stockholm, Dublin].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n         |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Dublin to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 10).\n     |- The departure day of Santorini is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Madrid, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n       |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Santorini to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Madrid to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 10).\n     |- The departure day of Dublin is Day 7. The arrival day of Split is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Madrid, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Munich] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dublin to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dublin to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 8 - 10).\n     |- The departure day of Munich is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Madrid, Munich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n       |- Try arranging to visit Split from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Munich to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 16 - 17).\n       |- The departure day of Split is Day 10. The arrival day of Lyon is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Madrid, Munich, Split].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Dublin] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Split to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 16 - 17).\n         |- The departure day of Stockholm is Day 11. The arrival day of Lyon is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Barcelona, Madrid, Munich, Split, Stockholm].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Dublin] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 16 - 17).\n           |- The departure day of Santorini is Day 14. The arrival day of Lyon is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Barcelona, Madrid, Munich, Split, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n             |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Santorini to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 16 - 17).\n             |- The departure day of Dublin is Day 16. The arrival day of Lyon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Barcelona, Madrid, Munich, Split, Stockholm, Santorini, Dublin].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Dublin to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Barcelona, Madrid, Munich, Split, Stockholm, Santorini, Dublin, Lyon].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Split.\n**Day 8-10:** Visit Split for 3 days.\n**Day 10:** Fly from Split to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-14:** Visit Santorini for 4 days.\n**Day 14:** Fly from Santorini to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Paris**Reykjavik**Madrid**Brussels**Manchester**Nice**Mykonos",
    "ground_truth_durations": "5**2**2**5**5**3**3**5",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Nice"
      ],
      [
        "Dublin",
        "Madrid"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Paris",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 7 and day 11. You would like to visit Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 6 and day 7. You want to spend 5 days in Dublin. You are going to attend a wedding in Dublin between day 1 and day 5. You want to spend 5 days in Mykonos. You want to spend 3 days in Nice. You would like to visit Paris for 2 days. You plan to stay in Manchester for 3 days. You plan to stay in Brussels for 5 days. During day 11 and day 15, you have to attend a conference in Brussels.\n\nHere are the cities that have direct flights:\nMadrid and Nice, Dublin and Madrid, Brussels and Nice, Dublin and Reykjavik, Dublin and Manchester, Paris and Nice, Dublin and Nice, Brussels and Manchester, Paris and Manchester, Manchester and Nice, Reykjavik and Brussels, Paris and Madrid, Madrid and Mykonos, Madrid and Manchester, Dublin and Paris, Paris and Reykjavik, Nice and Mykonos, Dublin and Brussels, from Reykjavik to Madrid, Madrid and Brussels, Reykjavik and Nice, Paris and Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 5 days. You plan to visit relatives in Madrid between day 7 and day 11. You would like to visit Reykjavik for 2 days. You want to meet a friend in Reykjavik between day 6 and day 7. You want to spend 5 days in Dublin. You are going to attend a wedding in Dublin between day 1 and day 5. You want to spend 5 days in Mykonos. You want to spend 3 days in Nice. You would like to visit Paris for 2 days. You plan to stay in Manchester for 3 days. You plan to stay in Brussels for 5 days. During day 11 and day 15, you have to attend a conference in Brussels.\n\nHere are the cities that have direct flights:\nfrom Madrid to Nice, from Dublin to Madrid, from Brussels to Nice, from Dublin to Reykjavik, from Dublin to Manchester, from Paris to Nice, from Dublin to Nice, from Brussels to Manchester, from Paris to Manchester, from Manchester to Nice, from Reykjavik to Brussels, from Paris to Madrid, from Madrid to Mykonos, from Madrid to Manchester, from Dublin to Paris, from Paris to Reykjavik, from Nice to Mykonos, from Dublin to Brussels, from Reykjavik to Madrid, from Madrid to Brussels, from Reykjavik to Nice, from Paris to Brussels.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Brussels.\n**Day 11-15:** Visit Brussels for 5 days.\n**Day 15:** Fly from Brussels to Manchester.\n**Day 15-17:** Visit Manchester for 3 days.\n**Day 17:** Fly from Manchester to Nice.\n**Day 17-19:** Visit Nice for 3 days.\n**Day 19:** Fly from Nice to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1172",
    "estimated_output_tokens": 2698,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Mykonos, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Fixed Schedule: Day 6 - 7.\n* City: Madrid, Fixed Schedule: Day 7 - 11.\n* City: Brussels, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 7).\n |- The departure day of Dublin is Day 5. The arrival day of Reykjavik is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice, Paris, Manchester] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Dublin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dublin to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 6 - 7).\n   |- The departure day of Nice is Day 7. The arrival day of Reykjavik is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dublin to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 6 - 7).\n   |- The departure day of Paris is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 7 - 11).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Madrid is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 11 - 15).\n       |- The departure day of Madrid is Day 11. The arrival day of Brussels is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dublin, Paris, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Madrid to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice, Manchester] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Brussels to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Brussels to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels, Nice].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Manchester] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Nice to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels, Nice, Mykonos].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Mykonos to Manchester.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Nice to Manchester.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Brussels to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels, Manchester].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Manchester to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Manchester to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels, Manchester, Nice].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Nice to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Dublin, Paris, Reykjavik, Madrid, Brussels, Manchester, Nice, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Dublin and visit Dublin for 5 days.\n**Day 5:** Fly from Dublin to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Madrid.\n**Day 7-11:** Visit Madrid for 5 days.\n**Day 11:** Fly from Madrid to Brussels.\n**Day 11-15:** Visit Brussels for 5 days.\n**Day 15:** Fly from Brussels to Manchester.\n**Day 15-17:** Visit Manchester for 3 days.\n**Day 17:** Fly from Manchester to Nice.\n**Day 17-19:** Visit Nice for 3 days.\n**Day 19:** Fly from Nice to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vilnius**Paris**Manchester**Barcelona**Lyon**Amsterdam**Santorini",
    "ground_truth_durations": "2**2**3**3**2**2**5**5",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Manchester",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Riga",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You have to attend a workshop in Lyon between day 8 and day 9. You plan to stay in Amsterdam for 5 days. During day 9 and day 13, you have to attend a conference in Amsterdam. You want to spend 2 days in Barcelona. You plan to stay in Manchester for 3 days. You plan to stay in Vilnius for 2 days. You plan to visit relatives in Vilnius between day 2 and day 3. You plan to stay in Santorini for 5 days. You plan to stay in Paris for 3 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nParis and Lyon, Paris and Manchester, Vilnius and Amsterdam, Riga and Manchester, Amsterdam and Santorini, Riga and Amsterdam, Paris and Amsterdam, Manchester and Santorini, Manchester and Amsterdam, Barcelona and Santorini, Lyon and Amsterdam, Riga and Paris, Riga and Barcelona, Paris and Barcelona, Vilnius and Paris, Barcelona and Lyon, Manchester and Barcelona, Barcelona and Amsterdam, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You have to attend a workshop in Lyon between day 8 and day 9. You plan to stay in Amsterdam for 5 days. During day 9 and day 13, you have to attend a conference in Amsterdam. You want to spend 2 days in Barcelona. You plan to stay in Manchester for 3 days. You plan to stay in Vilnius for 2 days. You plan to visit relatives in Vilnius between day 2 and day 3. You plan to stay in Santorini for 5 days. You plan to stay in Paris for 3 days. You want to spend 2 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Paris to Lyon, from Paris to Manchester, from Vilnius to Amsterdam, from Riga to Manchester, from Amsterdam to Santorini, from Riga to Amsterdam, from Paris to Amsterdam, from Manchester to Santorini, from Manchester to Amsterdam, from Barcelona to Santorini, from Lyon to Amsterdam, from Riga to Paris, from Riga to Barcelona, from Paris to Barcelona, from Vilnius to Paris, from Barcelona to Lyon, from Manchester to Barcelona, from Barcelona to Amsterdam, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Vilnius.\n**Day 2-3:** Visit Vilnius for 2 days.\n**Day 3:** Fly from Vilnius to Paris.\n**Day 3-5:** Visit Paris for 3 days.\n**Day 5:** Fly from Paris to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Amsterdam.\n**Day 9-13:** Visit Amsterdam for 5 days.\n**Day 13:** Fly from Amsterdam to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1173",
    "estimated_output_tokens": 3151,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Barcelona, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Santorini, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 2 - 3.\n* City: Lyon, Fixed Schedule: Day 8 - 9.\n* City: Amsterdam, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Santorini, Paris, Riga] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 3).\n |- The departure day of Barcelona is Day 2. The arrival day of Vilnius is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 3).\n |- The departure day of Manchester is Day 3. The arrival day of Vilnius is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 3).\n |- The departure day of Santorini is Day 5. The arrival day of Vilnius is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 3).\n |- The departure day of Paris is Day 3. The arrival day of Vilnius is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 2 - 3).\n |- The departure day of Riga is Day 2. The arrival day of Vilnius is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 8 - 9).\n   |- The departure day of Vilnius is Day 3. The arrival day of Lyon is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Riga, Vilnius].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Santorini, Paris] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vilnius to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Vilnius to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Vilnius to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 8 - 9).\n     |- The departure day of Paris is Day 5. The arrival day of Lyon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Vilnius, Paris].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Santorini] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Paris to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 9).\n       |- The departure day of Barcelona is Day 6. The arrival day of Lyon is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Riga, Vilnius, Paris, Barcelona].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Barcelona to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Barcelona to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 8 - 9).\n         |- The departure day of Santorini is Day 10. The arrival day of Lyon is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Paris to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 9).\n       |- The departure day of Manchester is Day 7. The arrival day of Lyon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Riga, Vilnius, Paris, Manchester].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Santorini] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Manchester to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 8 - 9).\n         |- The departure day of Barcelona is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Riga, Vilnius, Paris, Manchester, Barcelona].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Barcelona to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 9 - 13).\n           |- The departure day of Lyon is Day 9. The arrival day of Amsterdam is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Riga, Vilnius, Paris, Manchester, Barcelona, Lyon].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- Yes. The city with an arrival day of Day 9 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n             |- Check for direct flight from Lyon to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Riga, Vilnius, Paris, Manchester, Barcelona, Lyon, Amsterdam].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Amsterdam to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Riga, Vilnius, Paris, Manchester, Barcelona, Lyon, Amsterdam, Santorini].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Vilnius.\n**Day 2-3:** Visit Vilnius for 2 days.\n**Day 3:** Fly from Vilnius to Paris.\n**Day 3-5:** Visit Paris for 3 days.\n**Day 5:** Fly from Paris to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Amsterdam.\n**Day 9-13:** Visit Amsterdam for 5 days.\n**Day 13:** Fly from Amsterdam to Santorini.\n**Day 13-17:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Budapest**Mykonos**Naples**Split**Oslo**Amsterdam**Dubrovnik",
    "ground_truth_durations": "3**2**4**5**2**4**4**3",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Budapest",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You plan to stay in Split for 2 days. During day 11 and day 12, you have to attend a conference in Split. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 15 and day 18. You want to spend 5 days in Naples. You would like to visit Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 4 and day 7. You would like to visit Dubrovnik for 3 days. You plan to stay in Oslo for 4 days. You would like to visit Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nBudapest and Oslo, Budapest and Naples, Budapest and Mykonos, Mykonos and Naples, Naples and Oslo, Bucharest and Oslo, Split and Amsterdam, Budapest and Amsterdam, Amsterdam and Dubrovnik, Naples and Split, Naples and Dubrovnik, Naples and Amsterdam, Bucharest and Budapest, Bucharest and Amsterdam, Mykonos and Amsterdam, Split and Oslo, Oslo and Amsterdam, Bucharest and Naples, Oslo and Dubrovnik.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You plan to stay in Split for 2 days. During day 11 and day 12, you have to attend a conference in Split. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 15 and day 18. You want to spend 5 days in Naples. You would like to visit Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 4 and day 7. You would like to visit Dubrovnik for 3 days. You plan to stay in Oslo for 4 days. You would like to visit Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Oslo, from Budapest to Naples, from Budapest to Mykonos, from Mykonos to Naples, from Naples to Oslo, from Bucharest to Oslo, from Split to Amsterdam, from Budapest to Amsterdam, from Amsterdam to Dubrovnik, from Naples to Split, from Naples to Dubrovnik, from Naples to Amsterdam, from Bucharest to Budapest, from Bucharest to Amsterdam, from Mykonos to Amsterdam, from Split to Oslo, from Oslo to Amsterdam, from Bucharest to Naples, from Oslo to Dubrovnik.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Mykonos.\n**Day 4-7:** Visit Mykonos for 4 days.\n**Day 7:** Fly from Mykonos to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to Split.\n**Day 11-12:** Visit Split for 2 days.\n**Day 12:** Fly from Split to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Amsterdam.\n**Day 15-18:** Visit Amsterdam for 4 days.\n**Day 18:** Fly from Amsterdam to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1174",
    "estimated_output_tokens": 3412,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 2 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Naples, Duration: 5 days.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 4 - 7.\n* City: Split, Fixed Schedule: Day 11 - 12.\n* City: Amsterdam, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Budapest, Duration: 2 days.\n* City: Naples, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Naples, Dubrovnik, Oslo, Bucharest] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 7).\n |- The departure day of Budapest is Day 2. The arrival day of Mykonos is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik, Oslo, Bucharest] and explore these options in order.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Budapest to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 4 - 7).\n   |- The departure day of Naples is Day 6. The arrival day of Mykonos is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Budapest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Budapest to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 4 - 7).\n   |- The departure day of Oslo is Day 5. The arrival day of Mykonos is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Budapest to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 7).\n |- The departure day of Naples is Day 5. The arrival day of Mykonos is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 7).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Mykonos is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Naples, Oslo, Bucharest] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 7).\n |- The departure day of Oslo is Day 4. The arrival day of Mykonos is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Mykonos.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Oslo to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 4 - 7).\n |- The departure day of Bucharest is Day 3. The arrival day of Mykonos is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Naples, Dubrovnik, Oslo] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 4 - 7).\n   |- The departure day of Budapest is Day 4. The arrival day of Mykonos is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 11 - 12).\n     |- The departure day of Mykonos is Day 7. The arrival day of Split is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Budapest, Mykonos].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik, Oslo] and explore these options in order.\n       |- Try arranging to visit Naples from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Mykonos to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 11 - 12).\n       |- The departure day of Naples is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Bucharest, Budapest, Mykonos, Naples].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Naples to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 15 - 18).\n         |- The departure day of Split is Day 12. The arrival day of Amsterdam is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Bucharest, Budapest, Mykonos, Naples, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Split to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Split to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 15 - 18).\n           |- The departure day of Oslo is Day 15. The arrival day of Amsterdam is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Bucharest, Budapest, Mykonos, Naples, Split, Oslo].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Oslo to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Bucharest, Budapest, Mykonos, Naples, Split, Oslo, Amsterdam].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Amsterdam to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Bucharest, Budapest, Mykonos, Naples, Split, Oslo, Amsterdam, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Mykonos.\n**Day 4-7:** Visit Mykonos for 4 days.\n**Day 7:** Fly from Mykonos to Naples.\n**Day 7-11:** Visit Naples for 5 days.\n**Day 11:** Fly from Naples to Split.\n**Day 11-12:** Visit Split for 2 days.\n**Day 12:** Fly from Split to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Amsterdam.\n**Day 15-18:** Visit Amsterdam for 4 days.\n**Day 18:** Fly from Amsterdam to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Amsterdam**Florence**Brussels**Krakow**Valencia**Porto**Geneva",
    "ground_truth_durations": "2**4**5**3**5**4**3**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 20,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Amsterdam",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. You would like to visit Amsterdam for 4 days. You are going to attend a wedding in Amsterdam between day 2 and day 5. You would like to visit Oslo for 2 days. You have to attend a workshop in Oslo between day 1 and day 2. You would like to visit Brussels for 3 days. You would like to visit Krakow for 5 days. You plan to stay in Porto for 3 days. You would like to visit Florence for 5 days. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 20 and day 21.\n\nHere are the cities that have direct flights:\nBrussels and Krakow, Oslo and Geneva, Brussels and Geneva, Porto and Geneva, Oslo and Amsterdam, Krakow and Valencia, Florence and Brussels, Amsterdam and Florence, Brussels and Porto, Oslo and Porto, Valencia and Geneva, Oslo and Krakow, Amsterdam and Porto, Brussels and Valencia, Oslo and Brussels, Amsterdam and Valencia, Amsterdam and Geneva, Valencia and Porto, Amsterdam and Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. You would like to visit Amsterdam for 4 days. You are going to attend a wedding in Amsterdam between day 2 and day 5. You would like to visit Oslo for 2 days. You have to attend a workshop in Oslo between day 1 and day 2. You would like to visit Brussels for 3 days. You would like to visit Krakow for 5 days. You plan to stay in Porto for 3 days. You would like to visit Florence for 5 days. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 20 and day 21.\n\nHere are the cities that have direct flights:\nfrom Brussels to Krakow, from Oslo to Geneva, from Brussels to Geneva, from Porto to Geneva, from Oslo to Amsterdam, from Krakow to Valencia, from Florence to Brussels, from Amsterdam to Florence, from Brussels to Porto, from Oslo to Porto, from Valencia to Geneva, from Oslo to Krakow, from Amsterdam to Porto, from Brussels to Valencia, from Oslo to Brussels, from Amsterdam to Valencia, from Amsterdam to Geneva, from Valencia to Porto, from Amsterdam to Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Porto.\n**Day 18-20:** Visit Porto for 3 days.\n**Day 20:** Fly from Porto to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_1175",
    "estimated_output_tokens": 4710,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Brussels, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Fixed Schedule: Day 2 - 5.\n* City: Geneva, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Valencia, Duration: 4 days.\n* City: Brussels, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Oslo is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Oslo to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Geneva (Day 20 - 21).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Geneva is Day 20. Day 5 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Brussels, Krakow, Porto, Florence] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 20 - 21).\n     |- The departure day of Valencia is Day 8. The arrival day of Geneva is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Oslo, Amsterdam, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Krakow, Porto, Florence] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Valencia to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Valencia to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Valencia to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 20 - 21).\n       |- The departure day of Porto is Day 10. The arrival day of Geneva is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Amsterdam, Valencia, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Krakow, Florence] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Porto to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Valencia to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Amsterdam to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 20 - 21).\n     |- The departure day of Krakow is Day 9. The arrival day of Geneva is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Amsterdam, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Brussels, Porto, Florence] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 20 - 21).\n       |- The departure day of Valencia is Day 12. The arrival day of Geneva is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Oslo, Amsterdam, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Porto, Florence] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 20 - 21).\n         |- The departure day of Porto is Day 14. The arrival day of Geneva is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Oslo, Amsterdam, Krakow, Valencia, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Florence] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Porto to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Porto to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Valencia to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Krakow to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Krakow to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Krakow to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Amsterdam to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 20 - 21).\n     |- The departure day of Porto is Day 7. The arrival day of Geneva is Day 20. Day 7 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Amsterdam, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Brussels, Krakow, Florence] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Porto to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Porto to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Porto to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Porto to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 20 - 21).\n     |- The departure day of Florence is Day 9. The arrival day of Geneva is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Brussels, Krakow, Porto] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 20 - 21).\n       |- The departure day of Brussels is Day 11. The arrival day of Geneva is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Amsterdam, Florence, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Krakow, Porto] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Brussels to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 20 - 21).\n         |- The departure day of Valencia is Day 14. The arrival day of Geneva is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Oslo, Amsterdam, Florence, Brussels, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Porto] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Geneva (Day 20 - 21).\n           |- The departure day of Porto is Day 16. The arrival day of Geneva is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Oslo, Amsterdam, Florence, Brussels, Valencia, Porto].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Porto to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Brussels to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 20 - 21).\n         |- The departure day of Krakow is Day 15. The arrival day of Geneva is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Oslo, Amsterdam, Florence, Brussels, Krakow].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Krakow to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 20 - 21).\n           |- The departure day of Valencia is Day 18. The arrival day of Geneva is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Oslo, Amsterdam, Florence, Brussels, Krakow, Valencia].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Valencia to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Geneva (Day 20 - 21).\n             |- The departure day of Porto is Day 20. The arrival day of Geneva is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Oslo, Amsterdam, Florence, Brussels, Krakow, Valencia, Porto].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Porto to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Oslo, Amsterdam, Florence, Brussels, Krakow, Valencia, Porto, Geneva].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Brussels.\n**Day 9-11:** Visit Brussels for 3 days.\n**Day 11:** Fly from Brussels to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Porto.\n**Day 18-20:** Visit Porto for 3 days.\n**Day 20:** Fly from Porto to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Krakow**Valencia**London**Mykonos**Budapest**Hamburg**Salzburg",
    "ground_truth_durations": "2**3**5**4**2**4**3**4",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Edinburgh",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You want to spend 3 days in Hamburg. You want to spend 3 days in Krakow. You plan to stay in Mykonos for 2 days. During day 11 and day 12, you have to attend a conference in Mykonos. You would like to visit Valencia for 5 days. You have to attend a workshop in Valencia between day 4 and day 8. You would like to visit London for 4 days. You plan to visit relatives in London between day 8 and day 11. You want to spend 2 days in Edinburgh. You plan to stay in Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nKrakow and Valencia, Hamburg and Salzburg, Krakow and London, Budapest and Hamburg, London and Hamburg, Edinburgh and Budapest, Valencia and London, Edinburgh and London, London and Budapest, Edinburgh and Hamburg, Mykonos and Budapest, London and Mykonos, Edinburgh and Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Budapest. You want to spend 3 days in Hamburg. You want to spend 3 days in Krakow. You plan to stay in Mykonos for 2 days. During day 11 and day 12, you have to attend a conference in Mykonos. You would like to visit Valencia for 5 days. You have to attend a workshop in Valencia between day 4 and day 8. You would like to visit London for 4 days. You plan to visit relatives in London between day 8 and day 11. You want to spend 2 days in Edinburgh. You plan to stay in Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Valencia, from Hamburg to Salzburg, from Krakow to London, from Budapest to Hamburg, from London to Hamburg, from Edinburgh to Budapest, from Valencia to London, from Edinburgh to London, from London to Budapest, from Edinburgh to Hamburg, from Mykonos to Budapest, from London to Mykonos, from Edinburgh to Krakow.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Krakow.\n**Day 2-4:** Visit Krakow for 3 days.\n**Day 4:** Fly from Krakow to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to London.\n**Day 8-11:** Visit London for 4 days.\n**Day 11:** Fly from London to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Budapest.\n**Day 12-15:** Visit Budapest for 4 days.\n**Day 15:** Fly from Budapest to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Salzburg.\n**Day 17-20:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1176",
    "estimated_output_tokens": 3416,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: London, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Edinburgh, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 4 - 8.\n* City: London, Fixed Schedule: Day 8 - 11.\n* City: Mykonos, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Budapest, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Budapest, Hamburg, Krakow, Edinburgh, Salzburg] and explore these options in order.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Budapest is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Budapest to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Hamburg is Day 3. The arrival day of Valencia is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Krakow, Edinburgh, Salzburg] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Hamburg to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Hamburg to Salzburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 4 - 8).\n   |- The departure day of Salzburg is Day 6. The arrival day of Valencia is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Krakow is Day 3. The arrival day of Valencia is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Hamburg, Edinburgh, Salzburg] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Krakow to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Krakow to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Edinburgh is Day 2. The arrival day of Valencia is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Hamburg, Krakow, Salzburg] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 4 - 8).\n   |- The departure day of Budapest is Day 5. The arrival day of Valencia is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 4 - 8).\n   |- The departure day of Hamburg is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Hamburg to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 4 - 8).\n   |- The departure day of Krakow is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Krakow to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 8 - 11).\n     |- The departure day of Valencia is Day 8. The arrival day of London is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Krakow, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: London.\n       |- Try arranging to visit London from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Valencia to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 11 - 12).\n       |- The departure day of London is Day 11. The arrival day of Mykonos is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Krakow, Valencia, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from London to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Edinburgh, Krakow, Valencia, London, Mykonos].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Hamburg, Salzburg] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Mykonos to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Edinburgh, Krakow, Valencia, London, Mykonos, Budapest].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Budapest to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Edinburgh, Krakow, Valencia, London, Mykonos, Budapest, Hamburg].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Hamburg to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Edinburgh, Krakow, Valencia, London, Mykonos, Budapest, Hamburg, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Krakow.\n**Day 2-4:** Visit Krakow for 3 days.\n**Day 4:** Fly from Krakow to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to London.\n**Day 8-11:** Visit London for 4 days.\n**Day 11:** Fly from London to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Budapest.\n**Day 12-15:** Visit Budapest for 4 days.\n**Day 15:** Fly from Budapest to Hamburg.\n**Day 15-17:** Visit Hamburg for 3 days.\n**Day 17:** Fly from Hamburg to Salzburg.\n**Day 17-20:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Edinburgh**Paris**Bucharest**Naples**Valencia**Krakow**Amsterdam",
    "ground_truth_durations": "2**3**2**2**3**3**4**5",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Naples"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Paris",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 3 days. You are going to attend a wedding in Edinburgh between day 2 and day 4. You plan to stay in Amsterdam for 5 days. During day 13 and day 17, you have to attend a conference in Amsterdam. You want to spend 2 days in Stockholm. You want to spend 4 days in Krakow. You plan to stay in Paris for 2 days. You plan to stay in Bucharest for 2 days. You plan to visit relatives in Bucharest between day 5 and day 6. You plan to stay in Valencia for 3 days. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nParis and Naples, Stockholm and Edinburgh, Valencia and Krakow, Edinburgh and Amsterdam, Paris and Amsterdam, Edinburgh and Krakow, Edinburgh and Paris, Bucharest and Naples, Bucharest and Valencia, Krakow and Amsterdam, Naples and Amsterdam, Stockholm and Krakow, Stockholm and Amsterdam, Valencia and Amsterdam, Naples and Valencia, Stockholm and Paris, Bucharest and Amsterdam, Paris and Valencia, Paris and Krakow, Paris and Bucharest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 3 days. You are going to attend a wedding in Edinburgh between day 2 and day 4. You plan to stay in Amsterdam for 5 days. During day 13 and day 17, you have to attend a conference in Amsterdam. You want to spend 2 days in Stockholm. You want to spend 4 days in Krakow. You plan to stay in Paris for 2 days. You plan to stay in Bucharest for 2 days. You plan to visit relatives in Bucharest between day 5 and day 6. You plan to stay in Valencia for 3 days. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Naples, from Stockholm to Edinburgh, from Valencia to Krakow, from Edinburgh to Amsterdam, from Paris to Amsterdam, from Edinburgh to Krakow, from Edinburgh to Paris, from Bucharest to Naples, from Bucharest to Valencia, from Krakow to Amsterdam, from Naples to Amsterdam, from Stockholm to Krakow, from Stockholm to Amsterdam, from Valencia to Amsterdam, from Naples to Valencia, from Stockholm to Paris, from Bucharest to Amsterdam, from Paris to Valencia, from Paris to Krakow, from Paris to Bucharest.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.",
    "id": "trip_planning_example_1177",
    "estimated_output_tokens": 2770,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Stockholm, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Valencia, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 2 - 4.\n* City: Bucharest, Fixed Schedule: Day 5 - 6.\n* City: Amsterdam, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Krakow, Paris, Valencia, Naples] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 4).\n |- The departure day of Stockholm is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 5 - 6).\n   |- The departure day of Edinburgh is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Paris, Valencia, Naples] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Edinburgh to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 6).\n     |- The departure day of Krakow is Day 7. The arrival day of Bucharest is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 6).\n     |- The departure day of Paris is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stockholm, Edinburgh, Paris].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Paris to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 13 - 17).\n       |- The departure day of Bucharest is Day 6. The arrival day of Amsterdam is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Stockholm, Edinburgh, Paris, Bucharest].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia, Naples] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Bucharest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Bucharest to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 13 - 17).\n         |- The departure day of Valencia is Day 8. The arrival day of Amsterdam is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Valencia].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Naples] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Valencia to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 13 - 17).\n           |- The departure day of Krakow is Day 11. The arrival day of Amsterdam is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Valencia, Krakow].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Krakow to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Valencia to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Bucharest to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 13 - 17).\n         |- The departure day of Naples is Day 8. The arrival day of Amsterdam is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Naples].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Naples to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Naples to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 13 - 17).\n           |- The departure day of Valencia is Day 10. The arrival day of Amsterdam is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Naples, Valencia].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n             |- Check for direct flight from Valencia to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 13 - 17).\n             |- The departure day of Krakow is Day 13. The arrival day of Amsterdam is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Naples, Valencia, Krakow].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Krakow to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Stockholm, Edinburgh, Paris, Bucharest, Naples, Valencia, Krakow, Amsterdam].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Naples.\n**Day 6-8:** Visit Naples for 3 days.\n**Day 8:** Fly from Naples to Valencia.\n**Day 8-10:** Visit Valencia for 3 days.\n**Day 10:** Fly from Valencia to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**London**Venice**Manchester**Porto**Oslo**Reykjavik**Nice",
    "ground_truth_durations": "3**2**2**4**3**3**4**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Nice"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "London",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You have to attend a workshop in Venice between day 4 and day 5. You would like to visit Manchester for 4 days. You would like to visit Porto for 3 days. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Nice. You plan to visit relatives in Nice between day 15 and day 16. You plan to stay in London for 2 days. You would like to meet your friends at London between day 3 and day 4 to tour together. You plan to stay in Oslo for 3 days. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nOslo and Nice, Manchester and Oslo, Manchester and Nice, Porto and Nice, Oslo and Reykjavik, Dublin and Nice, Porto and Oslo, Venice and Oslo, Dublin and Reykjavik, Venice and Manchester, Dublin and Porto, London and Manchester, Dublin and Manchester, Dublin and Venice, London and Oslo, Reykjavik and Nice, Dublin and Oslo, Dublin and London, Manchester and Porto, London and Venice, London and Nice, Venice and Nice, London and Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You have to attend a workshop in Venice between day 4 and day 5. You would like to visit Manchester for 4 days. You would like to visit Porto for 3 days. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Nice. You plan to visit relatives in Nice between day 15 and day 16. You plan to stay in London for 2 days. You would like to meet your friends at London between day 3 and day 4 to tour together. You plan to stay in Oslo for 3 days. You plan to stay in Dublin for 3 days. You are going to attend a wedding in Dublin between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Oslo to Nice, from Manchester to Oslo, from Manchester to Nice, from Porto to Nice, from Oslo to Reykjavik, from Dublin to Nice, from Porto to Oslo, from Venice to Oslo, from Dublin to Reykjavik, from Venice to Manchester, from Dublin to Porto, from London to Manchester, from Dublin to Manchester, from Dublin to Venice, from London to Oslo, from Reykjavik to Nice, from Dublin to Oslo, from Dublin to London, from Manchester to Porto, from London to Venice, from London to Nice, from Venice to Nice, from London to Reykjavik.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Porto.\n**Day 8-10:** Visit Porto for 3 days.\n**Day 10:** Fly from Porto to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.\n**Day 15:** Fly from Reykjavik to Nice.\n**Day 15-16:** Visit Nice for 2 days.",
    "id": "trip_planning_example_1178",
    "estimated_output_tokens": 2088,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Manchester, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: London, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Oslo, Duration: 3 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 3 - 4.\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Nice, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Oslo, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 4).\n |- The departure day of Dublin is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dublin to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 4 - 5).\n   |- The departure day of London is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dublin, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 15 - 16).\n     |- The departure day of Venice is Day 5. The arrival day of Nice is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Dublin, London, Venice].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Porto, Reykjavik, Oslo] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Venice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 15 - 16).\n       |- The departure day of Manchester is Day 8. The arrival day of Nice is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dublin, London, Venice, Manchester].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Oslo] and explore these options in order.\n         |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Manchester to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 15 - 16).\n         |- The departure day of Porto is Day 10. The arrival day of Nice is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Dublin, London, Venice, Manchester, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Porto to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Porto to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 15 - 16).\n           |- The departure day of Oslo is Day 12. The arrival day of Nice is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Dublin, London, Venice, Manchester, Porto, Oslo].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Oslo to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 15 - 16).\n             |- The departure day of Reykjavik is Day 15. The arrival day of Nice is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Dublin, London, Venice, Manchester, Porto, Oslo, Reykjavik].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Nice.\n               |- Try arranging to visit Nice from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Reykjavik to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Dublin, London, Venice, Manchester, Porto, Oslo, Reykjavik, Nice].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Porto.\n**Day 8-10:** Visit Porto for 3 days.\n**Day 10:** Fly from Porto to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.\n**Day 15:** Fly from Reykjavik to Nice.\n**Day 15-16:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Barcelona**Budapest**Mykonos**Geneva**Dubrovnik**Oslo**Krakow",
    "ground_truth_durations": "4**2**3**4**4**3**3**3",
    "num_cities": 8,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Barcelona",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Barcelona for 2 days. From day 4 to day 5, there is a annual show you want to attend in Barcelona. You would like to visit Geneva for 4 days. You have to attend a workshop in Geneva between day 10 and day 13. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 17 and day 19. You would like to visit Budapest for 3 days. You would like to visit Dubrovnik for 3 days. During day 13 and day 15, you have to attend a conference in Dubrovnik. You plan to stay in Oslo for 3 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Budapest, Barcelona and Dubrovnik, Geneva and Dubrovnik, Budapest and Oslo, Barcelona and Krakow, Mykonos and Geneva, Barcelona and Oslo, Oslo and Krakow, Budapest and Mykonos, Tallinn and Barcelona, Dubrovnik and Oslo, Budapest and Geneva, Geneva and Oslo, Tallinn and Oslo, Barcelona and Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to stay in Barcelona for 2 days. From day 4 to day 5, there is a annual show you want to attend in Barcelona. You would like to visit Geneva for 4 days. You have to attend a workshop in Geneva between day 10 and day 13. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 17 and day 19. You would like to visit Budapest for 3 days. You would like to visit Dubrovnik for 3 days. During day 13 and day 15, you have to attend a conference in Dubrovnik. You plan to stay in Oslo for 3 days. You plan to stay in Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Budapest, from Barcelona to Dubrovnik, from Geneva to Dubrovnik, from Budapest to Oslo, from Barcelona to Krakow, from Mykonos to Geneva, from Barcelona to Oslo, from Oslo to Krakow, from Budapest to Mykonos, from Tallinn to Barcelona, from Dubrovnik to Oslo, from Budapest to Geneva, from Geneva to Oslo, from Tallinn to Oslo, from Barcelona to Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 19 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Geneva.\n**Day 10-13:** Visit Geneva for 4 days.\n**Day 13:** Fly from Geneva to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_1179",
    "estimated_output_tokens": 2351,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Budapest, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Oslo, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 4 - 5.\n* City: Geneva, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 15.\n* City: Krakow, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Oslo, Mykonos] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 4 - 5).\n |- The departure day of Tallinn is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 10 - 13).\n   |- The departure day of Barcelona is Day 5. The arrival day of Geneva is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Oslo, Mykonos] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Barcelona to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 10 - 13).\n     |- The departure day of Budapest is Day 7. The arrival day of Geneva is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Barcelona, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Mykonos] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Budapest to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 10 - 13).\n       |- The departure day of Oslo is Day 9. The arrival day of Geneva is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Barcelona, Budapest, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Oslo to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 10 - 13).\n       |- The departure day of Mykonos is Day 10. The arrival day of Geneva is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Barcelona, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Mykonos to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 15).\n         |- The departure day of Geneva is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Barcelona, Budapest, Mykonos, Geneva].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Geneva to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 17 - 19).\n           |- The departure day of Dubrovnik is Day 15. The arrival day of Krakow is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Tallinn, Barcelona, Budapest, Mykonos, Geneva, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Dubrovnik to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Krakow (Day 17 - 19).\n             |- The departure day of Oslo is Day 17. The arrival day of Krakow is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Barcelona, Budapest, Mykonos, Geneva, Dubrovnik, Oslo].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Krakow.\n               |- Try arranging to visit Krakow from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Oslo to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Tallinn, Barcelona, Budapest, Mykonos, Geneva, Dubrovnik, Oslo, Krakow].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Geneva.\n**Day 10-13:** Visit Geneva for 4 days.\n**Day 13:** Fly from Geneva to Dubrovnik.\n**Day 13-15:** Visit Dubrovnik for 3 days.\n**Day 15:** Fly from Dubrovnik to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Seville**Dublin**Budapest**Bucharest**London**Florence",
    "ground_truth_durations": "5**4**2**4**3**5**3**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Budapest",
        "London"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Seville",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Rome",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 1 to day 5, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Rome. You would like to meet your friends at Rome between day 5 and day 8 to tour together. You want to spend 4 days in Dublin. You would like to visit Budapest for 3 days. You would like to visit Seville for 2 days. You want to spend 5 days in Bucharest. You plan to visit relatives in Bucharest between day 14 and day 18. You plan to stay in Florence for 2 days. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Bucharest, Reykjavik and London, Reykjavik and Dublin, Dublin and Budapest, Budapest and London, Rome and Dublin, Reykjavik and Rome, Seville and Dublin, Reykjavik and Budapest, Rome and London, Rome and Bucharest, Budapest and Bucharest, London and Florence, Bucharest and London, Rome and Seville, Dublin and London, Rome and Budapest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. From day 1 to day 5, there is a annual show you want to attend in Reykjavik. You want to spend 4 days in Rome. You would like to meet your friends at Rome between day 5 and day 8 to tour together. You want to spend 4 days in Dublin. You would like to visit Budapest for 3 days. You would like to visit Seville for 2 days. You want to spend 5 days in Bucharest. You plan to visit relatives in Bucharest between day 14 and day 18. You plan to stay in Florence for 2 days. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Bucharest, from Reykjavik to London, from Reykjavik to Dublin, from Dublin to Budapest, from Budapest to London, from Rome to Dublin, from Reykjavik to Rome, from Seville to Dublin, from Reykjavik to Budapest, from Rome to London, from Rome to Bucharest, from Budapest to Bucharest, from London to Florence, from Bucharest to London, from Rome to Seville, from Dublin to London, from Rome to Budapest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to London.\n**Day 18-20:** Visit London for 3 days.\n**Day 20:** Fly from London to Florence.\n**Day 20-21:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1180",
    "estimated_output_tokens": 4350,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Dublin, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Florence, Duration: 2 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 8.\n* City: Bucharest, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Dublin, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Florence, Duration: 2 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 8).\n |- The departure day of Reykjavik is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 14 - 18).\n   |- The departure day of Rome is Day 8. The arrival day of Bucharest is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Budapest, Seville, Florence, London] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 14 - 18).\n     |- The departure day of Dublin is Day 11. The arrival day of Bucharest is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Rome, Dublin].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Seville, Florence, London] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Dublin to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 18).\n       |- The departure day of Budapest is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Rome, Dublin, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Florence, London] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Budapest to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Budapest to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Budapest to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 18).\n         |- The departure day of London is Day 15. The arrival day of Bucharest is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Dublin to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Dublin to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Dublin to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 18).\n       |- The departure day of London is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Rome, Dublin, London].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Seville, Florence] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from London to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from London to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from London to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 18).\n         |- The departure day of Florence is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Rome, Dublin, London, Florence].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Florence to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Rome to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 14 - 18).\n     |- The departure day of Budapest is Day 10. The arrival day of Bucharest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Rome, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Seville, Florence, London] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Budapest to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Budapest to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Budapest to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Budapest to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 14 - 18).\n       |- The departure day of London is Day 12. The arrival day of Bucharest is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Rome, Budapest, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Seville, Florence] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from London to Dublin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 18).\n         |- The departure day of Florence is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Rome, Budapest, London, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Seville] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Florence to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Florence to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Rome to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 14 - 18).\n     |- The departure day of Seville is Day 9. The arrival day of Bucharest is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Rome, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Budapest, Florence, London] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 14 - 18).\n       |- The departure day of Dublin is Day 12. The arrival day of Bucharest is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Rome, Seville, Dublin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Florence, London] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Dublin to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 18).\n         |- The departure day of Budapest is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Rome, Seville, Dublin, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Budapest to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Rome, Seville, Dublin, Budapest, Bucharest].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, London] and explore these options in order.\n             |- Try arranging to visit Florence from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Bucharest to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Bucharest to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Reykjavik, Rome, Seville, Dublin, Budapest, Bucharest, London].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from London to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Reykjavik, Rome, Seville, Dublin, Budapest, Bucharest, London, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Seville.\n**Day 8-9:** Visit Seville for 2 days.\n**Day 9:** Fly from Seville to Dublin.\n**Day 9-12:** Visit Dublin for 4 days.\n**Day 12:** Fly from Dublin to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to London.\n**Day 18-20:** Visit London for 3 days.\n**Day 20:** Fly from London to Florence.\n**Day 20-21:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Reykjavik**Zurich**Dubrovnik**Geneva**Valencia**Porto**Hamburg",
    "ground_truth_durations": "4**2**3**4**3**2**3**2",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You would like to visit Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 1 and day 4. You want to spend 2 days in Hamburg. You plan to stay in Valencia for 2 days. You plan to stay in Reykjavik for 2 days. You would like to visit Porto for 3 days. You plan to stay in Dubrovnik for 4 days. From day 7 to day 10, there is a annual show you want to attend in Dubrovnik. You want to spend 3 days in Zurich.\n\nHere are the cities that have direct flights:\nWarsaw and Valencia, Valencia and Porto, Zurich and Valencia, Porto and Hamburg, Zurich and Hamburg, Zurich and Geneva, Reykjavik and Zurich, Geneva and Porto, from Hamburg to Geneva, Warsaw and Geneva, Warsaw and Hamburg, Zurich and Porto, Zurich and Dubrovnik, Warsaw and Reykjavik, Warsaw and Porto, Geneva and Valencia, Warsaw and Zurich, Dubrovnik and Geneva.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You would like to visit Warsaw for 4 days. You are going to attend a wedding in Warsaw between day 1 and day 4. You want to spend 2 days in Hamburg. You plan to stay in Valencia for 2 days. You plan to stay in Reykjavik for 2 days. You would like to visit Porto for 3 days. You plan to stay in Dubrovnik for 4 days. From day 7 to day 10, there is a annual show you want to attend in Dubrovnik. You want to spend 3 days in Zurich.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Valencia, from Valencia to Porto, from Zurich to Valencia, from Porto to Hamburg, from Zurich to Hamburg, from Zurich to Geneva, from Reykjavik to Zurich, from Geneva to Porto, from Hamburg to Geneva, from Warsaw to Geneva, from Warsaw to Hamburg, from Zurich to Porto, from Zurich to Dubrovnik, from Warsaw to Reykjavik, from Warsaw to Porto, from Geneva to Valencia, from Warsaw to Zurich, from Dubrovnik to Geneva.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-13:** Visit Valencia for 2 days.\n**Day 13:** Fly from Valencia to Porto.\n**Day 13-15:** Visit Porto for 3 days.\n**Day 15:** Fly from Porto to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_1181",
    "estimated_output_tokens": 4311,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Zurich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Fixed Schedule: Day 7 - 10.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 7 - 10).\n |- The departure day of Warsaw is Day 4. The arrival day of Dubrovnik is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Valencia, Reykjavik, Porto, Zurich] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Geneva is Day 6. The arrival day of Dubrovnik is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Valencia, Reykjavik, Porto, Zurich] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 7 - 10).\n     |- The departure day of Valencia is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Warsaw, Geneva, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 7 - 10).\n     |- The departure day of Porto is Day 8. The arrival day of Dubrovnik is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Hamburg is Day 5. The arrival day of Dubrovnik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia, Reykjavik, Porto, Zurich] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Hamburg to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 7 - 10).\n     |- The departure day of Geneva is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Warsaw, Hamburg, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Hamburg to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Hamburg to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Hamburg to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Hamburg to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Valencia is Day 5. The arrival day of Dubrovnik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Reykjavik, Porto, Zurich] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Valencia to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 7 - 10).\n     |- The departure day of Porto is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Warsaw, Valencia, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Porto to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Valencia to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 7 - 10).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Dubrovnik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Valencia, Porto, Zurich] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Reykjavik to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Reykjavik to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Reykjavik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Reykjavik to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 7 - 10).\n     |- The departure day of Zurich is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Warsaw, Reykjavik, Zurich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Zurich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Warsaw, Reykjavik, Zurich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Hamburg, Valencia, Porto] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Dubrovnik to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Warsaw, Reykjavik, Zurich, Dubrovnik, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Valencia, Porto] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Geneva to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Geneva to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Warsaw, Reykjavik, Zurich, Dubrovnik, Geneva, Valencia].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Porto] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Valencia to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Valencia to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Warsaw, Reykjavik, Zurich, Dubrovnik, Geneva, Valencia, Porto].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Porto to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Warsaw, Reykjavik, Zurich, Dubrovnik, Geneva, Valencia, Porto, Hamburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-10:** Visit Dubrovnik for 4 days.\n**Day 10:** Fly from Dubrovnik to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-13:** Visit Valencia for 2 days.\n**Day 13:** Fly from Valencia to Porto.\n**Day 13-15:** Visit Porto for 3 days.\n**Day 15:** Fly from Porto to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Rome**Split**Helsinki**Venice**Madrid**Brussels**Porto",
    "ground_truth_durations": "3**3**2**5**3**2**4**3",
    "num_cities": 8,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Split",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You are going to attend a wedding in Venice between day 10 and day 12. You want to spend 3 days in Porto. From day 16 to day 18, there is a annual show you want to attend in Porto. You plan to stay in Helsinki for 5 days. You want to spend 3 days in Rome. You would like to visit Madrid for 2 days. You have to attend a workshop in Madrid between day 12 and day 13. You want to spend 4 days in Brussels. You plan to visit relatives in Brussels between day 13 and day 16. You would like to visit Split for 2 days. You plan to stay in Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nVenice and Madrid, Venice and Brussels, Madrid and Porto, Rome and Madrid, Helsinki and Madrid, Bucharest and Brussels, Rome and Venice, Rome and Brussels, Helsinki and Venice, Madrid and Brussels, Split and Helsinki, Helsinki and Brussels, Brussels and Porto, Rome and Split, Rome and Helsinki, Bucharest and Rome, Bucharest and Madrid, Split and Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 3 days. You are going to attend a wedding in Venice between day 10 and day 12. You want to spend 3 days in Porto. From day 16 to day 18, there is a annual show you want to attend in Porto. You plan to stay in Helsinki for 5 days. You want to spend 3 days in Rome. You would like to visit Madrid for 2 days. You have to attend a workshop in Madrid between day 12 and day 13. You want to spend 4 days in Brussels. You plan to visit relatives in Brussels between day 13 and day 16. You would like to visit Split for 2 days. You plan to stay in Bucharest for 3 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Madrid, from Venice to Brussels, from Madrid to Porto, from Rome to Madrid, from Helsinki to Madrid, from Bucharest to Brussels, from Rome to Venice, from Rome to Brussels, from Helsinki to Venice, from Madrid to Brussels, from Split to Helsinki, from Helsinki to Brussels, from Brussels to Porto, from Rome to Split, from Rome to Helsinki, from Bucharest to Rome, from Bucharest to Madrid, from Split to Madrid.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 18 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-10:** Visit Helsinki for 5 days.\n**Day 10:** Fly from Helsinki to Venice.\n**Day 10-12:** Visit Venice for 3 days.\n**Day 12:** Fly from Venice to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Brussels.\n**Day 13-16:** Visit Brussels for 4 days.\n**Day 16:** Fly from Brussels to Porto.\n**Day 16-18:** Visit Porto for 3 days.",
    "id": "trip_planning_example_1182",
    "estimated_output_tokens": 4327,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Helsinki, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Split, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 10 - 12.\n* City: Madrid, Fixed Schedule: Day 12 - 13.\n* City: Brussels, Fixed Schedule: Day 13 - 16.\n* City: Porto, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Rome, Split, Bucharest] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 12).\n |- The departure day of Helsinki is Day 5. The arrival day of Venice is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Split, Bucharest] and explore these options in order.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Helsinki to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Helsinki to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 12).\n |- The departure day of Rome is Day 3. The arrival day of Venice is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Split, Bucharest] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Rome to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 10 - 12).\n   |- The departure day of Helsinki is Day 7. The arrival day of Venice is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Bucharest] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Helsinki to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 10 - 12).\n   |- The departure day of Split is Day 4. The arrival day of Venice is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Rome, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Bucharest] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 10 - 12).\n     |- The departure day of Helsinki is Day 8. The arrival day of Venice is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Split, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Helsinki to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Split to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Rome to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 12).\n |- The departure day of Split is Day 2. The arrival day of Venice is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Rome, Bucharest] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 10 - 12).\n   |- The departure day of Helsinki is Day 6. The arrival day of Venice is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Bucharest] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 12).\n |- The departure day of Bucharest is Day 3. The arrival day of Venice is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Rome, Split] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Bucharest to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 10 - 12).\n   |- The departure day of Rome is Day 5. The arrival day of Venice is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Split] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 12).\n     |- The departure day of Helsinki is Day 9. The arrival day of Venice is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Rome, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Helsinki to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Rome to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 12).\n     |- The departure day of Split is Day 6. The arrival day of Venice is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Rome, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Split to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 10 - 12).\n       |- The departure day of Helsinki is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Bucharest, Rome, Split, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 13).\n         |- The departure day of Venice is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Bucharest, Rome, Split, Helsinki, Venice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Venice to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 13 - 16).\n           |- The departure day of Madrid is Day 13. The arrival day of Brussels is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Bucharest, Rome, Split, Helsinki, Venice, Madrid].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Madrid to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 16 - 18).\n             |- The departure day of Brussels is Day 16. The arrival day of Porto is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Bucharest, Rome, Split, Helsinki, Venice, Madrid, Brussels].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Brussels to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Bucharest, Rome, Split, Helsinki, Venice, Madrid, Brussels, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to Helsinki.\n**Day 6-10:** Visit Helsinki for 5 days.\n**Day 10:** Fly from Helsinki to Venice.\n**Day 10-12:** Visit Venice for 3 days.\n**Day 12:** Fly from Venice to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Brussels.\n**Day 13-16:** Visit Brussels for 4 days.\n**Day 16:** Fly from Brussels to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Prague**Lyon**Nice**Dublin**Seville**Rome**Stuttgart",
    "ground_truth_durations": "4**5**3**5**2**5**2**3",
    "num_cities": 8,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Nice",
        "Rome"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Vienna",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 10 and day 14 to tour together. You want to spend 3 days in Lyon. You would like to visit Seville for 5 days. You have to attend a workshop in Seville between day 15 and day 19. You want to spend 5 days in Prague. You want to spend 2 days in Rome. You want to spend 2 days in Dublin. You want to spend 4 days in Vienna. From day 1 to day 4, there is a annual show you want to attend in Vienna.\n\nHere are the cities that have direct flights:\nRome and Stuttgart, Prague and Lyon, Dublin and Seville, Nice and Rome, Lyon and Dublin, Vienna and Rome, Dublin and Rome, Prague and Rome, Prague and Dublin, Seville and Rome, Lyon and Nice, Vienna and Dublin, Vienna and Seville, Vienna and Nice, Nice and Dublin, Vienna and Stuttgart, Lyon and Rome, Vienna and Prague, Vienna and Lyon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You plan to stay in Nice for 5 days. You would like to meet your friends at Nice between day 10 and day 14 to tour together. You want to spend 3 days in Lyon. You would like to visit Seville for 5 days. You have to attend a workshop in Seville between day 15 and day 19. You want to spend 5 days in Prague. You want to spend 2 days in Rome. You want to spend 2 days in Dublin. You want to spend 4 days in Vienna. From day 1 to day 4, there is a annual show you want to attend in Vienna.\n\nHere are the cities that have direct flights:\nfrom Rome to Stuttgart, from Prague to Lyon, from Dublin to Seville, from Nice to Rome, from Lyon to Dublin, from Vienna to Rome, from Dublin to Rome, from Prague to Rome, from Prague to Dublin, from Seville to Rome, from Lyon to Nice, from Vienna to Dublin, from Vienna to Seville, from Vienna to Nice, from Nice to Dublin, from Vienna to Stuttgart, from Lyon to Rome, from Vienna to Prague, from Vienna to Lyon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 22 days:\n\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Prague.\n**Day 4-8:** Visit Prague for 5 days.\n**Day 8:** Fly from Prague to Lyon.\n**Day 8-10:** Visit Lyon for 3 days.\n**Day 10:** Fly from Lyon to Nice.\n**Day 10-14:** Visit Nice for 5 days.\n**Day 14:** Fly from Nice to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-19:** Visit Seville for 5 days.\n**Day 19:** Fly from Seville to Rome.\n**Day 19-20:** Visit Rome for 2 days.\n**Day 20:** Fly from Rome to Stuttgart.\n**Day 20-22:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1183",
    "estimated_output_tokens": 4459,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Lyon, Duration: 3 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Prague, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 4.\n* City: Nice, Fixed Schedule: Day 10 - 14.\n* City: Seville, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Prague, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 10 - 14).\n |- The departure day of Vienna is Day 4. The arrival day of Nice is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lyon, Prague, Rome, Dublin] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vienna to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 10 - 14).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Nice is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Prague, Rome, Dublin] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stuttgart to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stuttgart to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vienna to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 10 - 14).\n   |- The departure day of Lyon is Day 6. The arrival day of Nice is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Prague, Rome, Dublin] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lyon to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lyon to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 10 - 14).\n     |- The departure day of Rome is Day 7. The arrival day of Nice is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Lyon, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Prague, Dublin] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 10 - 14).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Nice is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Lyon, Rome, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Dublin] and explore these options in order.\n         |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Stuttgart to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Stuttgart to Dublin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Dublin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lyon to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 10 - 14).\n     |- The departure day of Dublin is Day 7. The arrival day of Nice is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Lyon, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Prague, Rome] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dublin to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 10 - 14).\n       |- The departure day of Rome is Day 8. The arrival day of Nice is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Vienna, Lyon, Dublin, Rome].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Prague] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Rome to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 10 - 14).\n         |- The departure day of Stuttgart is Day 10. The arrival day of Nice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Vienna, Lyon, Dublin, Rome, Stuttgart].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Stuttgart to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Rome to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 10 - 14).\n   |- The departure day of Prague is Day 8. The arrival day of Nice is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lyon, Rome, Dublin] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Prague to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 10 - 14).\n     |- The departure day of Lyon is Day 10. The arrival day of Nice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Prague, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lyon to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 15 - 19).\n       |- The departure day of Nice is Day 14. The arrival day of Seville is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vienna, Prague, Lyon, Nice].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Rome, Dublin] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Nice to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Nice to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 15 - 19).\n         |- The departure day of Rome is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vienna, Prague, Lyon, Nice, Rome].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Rome to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Nice to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 15 - 19).\n         |- The departure day of Dublin is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vienna, Prague, Lyon, Nice, Dublin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Dublin to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Vienna, Prague, Lyon, Nice, Dublin, Seville].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Rome] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Seville to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Rome from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Seville to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Vienna, Prague, Lyon, Nice, Dublin, Seville, Rome].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Rome to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Vienna, Prague, Lyon, Nice, Dublin, Seville, Rome, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Prague.\n**Day 4-8:** Visit Prague for 5 days.\n**Day 8:** Fly from Prague to Lyon.\n**Day 8-10:** Visit Lyon for 3 days.\n**Day 10:** Fly from Lyon to Nice.\n**Day 10-14:** Visit Nice for 5 days.\n**Day 14:** Fly from Nice to Dublin.\n**Day 14-15:** Visit Dublin for 2 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-19:** Visit Seville for 5 days.\n**Day 19:** Fly from Seville to Rome.\n**Day 19-20:** Visit Rome for 2 days.\n**Day 20:** Fly from Rome to Stuttgart.\n**Day 20-22:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Vienna**Berlin**Zurich**Florence**Prague**Lyon**Munich",
    "ground_truth_durations": "4**2**4**3**4**5**5**4",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Munich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Zurich",
        "Munich"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Zurich",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. You want to spend 4 days in Florence. You would like to visit Prague for 5 days. You would like to visit Munich for 4 days. You plan to visit relatives in Munich between day 21 and day 24. You would like to visit Lyon for 5 days. You plan to stay in Vienna for 2 days. You want to spend 4 days in Berlin. You have to attend a workshop in Berlin between day 5 and day 8. You plan to stay in Seville for 4 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Munich, Lyon and Munich, Prague and Munich, Prague and Lyon, Florence and Prague, Vienna and Zurich, Berlin and Zurich, Vienna and Lyon, Zurich and Munich, Berlin and Munich, Vienna and Berlin, Vienna and Prague, Seville and Vienna, Vienna and Munich, Vienna and Florence, from Zurich to Florence, Seville and Munich, Zurich and Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. You want to spend 4 days in Florence. You would like to visit Prague for 5 days. You would like to visit Munich for 4 days. You plan to visit relatives in Munich between day 21 and day 24. You would like to visit Lyon for 5 days. You plan to stay in Vienna for 2 days. You want to spend 4 days in Berlin. You have to attend a workshop in Berlin between day 5 and day 8. You plan to stay in Seville for 4 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Munich, from Lyon to Munich, from Prague to Munich, from Prague to Lyon, from Florence to Prague, from Vienna to Zurich, from Berlin to Zurich, from Vienna to Lyon, from Zurich to Munich, from Berlin to Munich, from Vienna to Berlin, from Vienna to Prague, from Seville to Vienna, from Vienna to Munich, from Vienna to Florence, from Zurich to Florence, from Seville to Munich, from Zurich to Prague.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Zurich.\n**Day 8-10:** Visit Zurich for 3 days.\n**Day 10:** Fly from Zurich to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Prague.\n**Day 13-17:** Visit Prague for 5 days.\n**Day 17:** Fly from Prague to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Munich.\n**Day 21-24:** Visit Munich for 4 days.",
    "id": "trip_planning_example_1184",
    "estimated_output_tokens": 5021,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Lyon, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Seville, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 5 - 8.\n* City: Munich, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Vienna, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Florence, Prague, Lyon, Vienna, Seville] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Zurich is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Lyon, Vienna, Seville] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 5 - 8).\n   |- The departure day of Florence is Day 6. The arrival day of Berlin is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Zurich to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 5 - 8).\n   |- The departure day of Prague is Day 7. The arrival day of Berlin is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Zurich to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Zurich to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Florence is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Prague, Lyon, Vienna, Seville] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 8).\n   |- The departure day of Prague is Day 8. The arrival day of Berlin is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Prague is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Prague to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Lyon is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Vienna is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Prague, Lyon, Seville] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 8).\n   |- The departure day of Zurich is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vienna, Zurich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Lyon, Seville] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 8).\n     |- The departure day of Florence is Day 7. The arrival day of Berlin is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Zurich to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 8).\n     |- The departure day of Prague is Day 8. The arrival day of Berlin is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Zurich to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 8).\n   |- The departure day of Florence is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 8).\n   |- The departure day of Prague is Day 6. The arrival day of Berlin is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 8).\n   |- The departure day of Lyon is Day 6. The arrival day of Berlin is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 8).\n |- The departure day of Seville is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Prague, Lyon, Vienna] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Seville to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Seville to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 8).\n   |- The departure day of Vienna is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Seville, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 21 - 24).\n     |- The departure day of Berlin is Day 8. The arrival day of Munich is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Seville, Vienna, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Prague, Lyon] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Berlin to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 21 - 24).\n       |- The departure day of Zurich is Day 10. The arrival day of Munich is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Vienna, Berlin, Zurich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Lyon] and explore these options in order.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Munich (Day 21 - 24).\n         |- The departure day of Florence is Day 13. The arrival day of Munich is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Seville, Vienna, Berlin, Zurich, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Lyon] and explore these options in order.\n           |- Try arranging to visit Prague from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Florence to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Munich (Day 21 - 24).\n           |- The departure day of Prague is Day 17. The arrival day of Munich is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Vienna, Berlin, Zurich, Florence, Prague].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Prague to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Munich (Day 21 - 24).\n             |- The departure day of Lyon is Day 21. The arrival day of Munich is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Seville, Vienna, Berlin, Zurich, Florence, Prague, Lyon].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Lyon to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Seville, Vienna, Berlin, Zurich, Florence, Prague, Lyon, Munich].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Berlin.\n**Day 5-8:** Visit Berlin for 4 days.\n**Day 8:** Fly from Berlin to Zurich.\n**Day 8-10:** Visit Zurich for 3 days.\n**Day 10:** Fly from Zurich to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Prague.\n**Day 13-17:** Visit Prague for 5 days.\n**Day 17:** Fly from Prague to Lyon.\n**Day 17-21:** Visit Lyon for 5 days.\n**Day 21:** Fly from Lyon to Munich.\n**Day 21-24:** Visit Munich for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Rome**Prague**Krakow**Milan**Budapest**Naples**Amsterdam",
    "ground_truth_durations": "2**3**3**2**5**3**2**2",
    "num_cities": 8,
    "total_days": 15,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Naples"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Geneva",
        "Prague"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Budapest",
        "Amsterdam"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Rome",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You want to spend 2 days in Naples. You plan to stay in Budapest for 3 days. You plan to visit relatives in Budapest between day 11 and day 13. You would like to visit Prague for 3 days. You would like to visit Amsterdam for 2 days. You have to attend a workshop in Amsterdam between day 14 and day 15. You want to spend 5 days in Milan. You plan to stay in Rome for 3 days. During day 2 and day 4, you have to attend a conference in Rome. You want to spend 2 days in Geneva. You would like to meet your friends at Geneva between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nRome and Naples, Milan and Budapest, Geneva and Prague, Prague and Budapest, Geneva and Rome, Krakow and Milan, Budapest and Amsterdam, Rome and Amsterdam, Milan and Naples, Krakow and Amsterdam, Naples and Amsterdam, Prague and Krakow, Geneva and Amsterdam, Milan and Amsterdam, Prague and Amsterdam, Prague and Milan, Rome and Prague, Geneva and Budapest, Geneva and Naples, Budapest and Naples, Rome and Budapest.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 15 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You want to spend 2 days in Naples. You plan to stay in Budapest for 3 days. You plan to visit relatives in Budapest between day 11 and day 13. You would like to visit Prague for 3 days. You would like to visit Amsterdam for 2 days. You have to attend a workshop in Amsterdam between day 14 and day 15. You want to spend 5 days in Milan. You plan to stay in Rome for 3 days. During day 2 and day 4, you have to attend a conference in Rome. You want to spend 2 days in Geneva. You would like to meet your friends at Geneva between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nfrom Rome to Naples, from Milan to Budapest, from Geneva to Prague, from Prague to Budapest, from Geneva to Rome, from Krakow to Milan, from Budapest to Amsterdam, from Rome to Amsterdam, from Milan to Naples, from Krakow to Amsterdam, from Naples to Amsterdam, from Prague to Krakow, from Geneva to Amsterdam, from Milan to Amsterdam, from Prague to Amsterdam, from Prague to Milan, from Rome to Prague, from Geneva to Budapest, from Geneva to Naples, from Budapest to Naples, from Rome to Budapest.\n\nFind a trip plan of visiting the cities for 15 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 15 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Budapest.\n**Day 11-13:** Visit Budapest for 3 days.\n**Day 13:** Fly from Budapest to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.",
    "id": "trip_planning_example_1185",
    "estimated_output_tokens": 2460,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Prague, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Milan, Duration: 5 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 2 - 4.\n* City: Budapest, Fixed Schedule: Day 11 - 13.\n* City: Amsterdam, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Geneva is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 11 - 13).\n   |- The departure day of Rome is Day 4. The arrival day of Budapest is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Naples, Prague, Milan] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 11 - 13).\n     |- The departure day of Naples is Day 5. The arrival day of Budapest is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Geneva, Rome, Naples].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Prague, Milan] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Naples to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Naples to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Naples to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 11 - 13).\n     |- The departure day of Prague is Day 6. The arrival day of Budapest is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Geneva, Rome, Prague].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Naples, Milan] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Prague to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 11 - 13).\n       |- The departure day of Krakow is Day 7. The arrival day of Budapest is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Geneva, Rome, Prague, Krakow].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Milan] and explore these options in order.\n         |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Krakow to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Krakow to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 11 - 13).\n         |- The departure day of Milan is Day 11. The arrival day of Budapest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Geneva, Rome, Prague, Krakow, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Milan to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 14 - 15).\n           |- The departure day of Budapest is Day 13. The arrival day of Amsterdam is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Geneva, Rome, Prague, Krakow, Milan, Budapest].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n             |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Budapest to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Amsterdam (Day 14 - 15).\n             |- The departure day of Naples is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Geneva, Rome, Prague, Krakow, Milan, Budapest, Naples].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Naples to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Geneva, Rome, Prague, Krakow, Milan, Budapest, Naples, Amsterdam].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Krakow.\n**Day 6-7:** Visit Krakow for 2 days.\n**Day 7:** Fly from Krakow to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Budapest.\n**Day 11-13:** Visit Budapest for 3 days.\n**Day 13:** Fly from Budapest to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Istanbul**Warsaw**Vilnius**Split**Prague**Valencia**Dublin",
    "ground_truth_durations": "3**3**2**2**3**3**2**2",
    "num_cities": 8,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 3,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Prague",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Nice for 3 days. You plan to stay in Prague for 3 days. You want to spend 2 days in Dublin. From day 12 to day 13, there is a annual show you want to attend in Dublin. You plan to stay in Vilnius for 2 days. During day 6 and day 7, you have to attend a conference in Vilnius. You want to spend 2 days in Valencia. You would like to visit Warsaw for 2 days. You would like to visit Istanbul for 3 days. You are going to attend a wedding in Istanbul between day 3 and day 5.\n\nHere are the cities that have direct flights:\nIstanbul and Valencia, Nice and Istanbul, Istanbul and Prague, Split and Dublin, Valencia and Dublin, Warsaw and Valencia, Warsaw and Vilnius, Istanbul and Warsaw, Split and Prague, Nice and Warsaw, Istanbul and Dublin, Vilnius and Split, Warsaw and Split, Nice and Dublin, Warsaw and Prague, Prague and Valencia, Istanbul and Vilnius, Prague and Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Nice for 3 days. You plan to stay in Prague for 3 days. You want to spend 2 days in Dublin. From day 12 to day 13, there is a annual show you want to attend in Dublin. You plan to stay in Vilnius for 2 days. During day 6 and day 7, you have to attend a conference in Vilnius. You want to spend 2 days in Valencia. You would like to visit Warsaw for 2 days. You would like to visit Istanbul for 3 days. You are going to attend a wedding in Istanbul between day 3 and day 5.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Valencia, from Nice to Istanbul, from Istanbul to Prague, from Split to Dublin, from Valencia to Dublin, from Warsaw to Valencia, from Warsaw to Vilnius, from Istanbul to Warsaw, from Split to Prague, from Nice to Warsaw, from Istanbul to Dublin, from Vilnius to Split, from Warsaw to Split, from Nice to Dublin, from Warsaw to Prague, from Prague to Valencia, from Istanbul to Vilnius, from Prague to Dublin.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 13 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Warsaw.\n**Day 5-6:** Visit Warsaw for 2 days.\n**Day 6:** Fly from Warsaw to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-9:** Visit Split for 3 days.\n**Day 9:** Fly from Split to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Dublin.\n**Day 12-13:** Visit Dublin for 2 days.",
    "id": "trip_planning_example_1186",
    "estimated_output_tokens": 2682,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Valencia, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 3 - 5.\n* City: Vilnius, Fixed Schedule: Day 6 - 7.\n* City: Dublin, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Nice, Prague, Valencia, Warsaw] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 5).\n |- The departure day of Split is Day 3. The arrival day of Istanbul is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 5).\n |- The departure day of Nice is Day 3. The arrival day of Istanbul is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Nice to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 6 - 7).\n   |- The departure day of Istanbul is Day 5. The arrival day of Vilnius is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Prague, Valencia, Warsaw] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Istanbul to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Istanbul to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 6 - 7).\n     |- The departure day of Prague is Day 7. The arrival day of Vilnius is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Istanbul to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 6 - 7).\n     |- The departure day of Valencia is Day 6. The arrival day of Vilnius is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Istanbul, Valencia].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Valencia to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Istanbul to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 6 - 7).\n     |- The departure day of Warsaw is Day 6. The arrival day of Vilnius is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Istanbul, Warsaw].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 12 - 13).\n       |- The departure day of Vilnius is Day 7. The arrival day of Dublin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Nice, Istanbul, Warsaw, Vilnius].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Prague, Valencia] and explore these options in order.\n         |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 12 - 13).\n         |- The departure day of Split is Day 9. The arrival day of Dublin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Nice, Istanbul, Warsaw, Vilnius, Split].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Valencia] and explore these options in order.\n           |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Split to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 12 - 13).\n           |- The departure day of Prague is Day 11. The arrival day of Dublin is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Nice, Istanbul, Warsaw, Vilnius, Split, Prague].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Prague to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dublin (Day 12 - 13).\n             |- The departure day of Valencia is Day 12. The arrival day of Dublin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Nice, Istanbul, Warsaw, Vilnius, Split, Prague, Valencia].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- Yes. The city with an arrival day of Day 12 - is fixed: Dublin.\n               |- Try arranging to visit Dublin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n               |- Check for direct flight from Valencia to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 13. Current plan: [Nice, Istanbul, Warsaw, Vilnius, Split, Prague, Valencia, Dublin].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Warsaw.\n**Day 5-6:** Visit Warsaw for 2 days.\n**Day 6:** Fly from Warsaw to Vilnius.\n**Day 6-7:** Visit Vilnius for 2 days.\n**Day 7:** Fly from Vilnius to Split.\n**Day 7-9:** Visit Split for 3 days.\n**Day 9:** Fly from Split to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-12:** Visit Valencia for 2 days.\n**Day 12:** Fly from Valencia to Dublin.\n**Day 12-13:** Visit Dublin for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Rome**Lyon**Prague**Florence**Madrid**Seville**Edinburgh",
    "ground_truth_durations": "3**2**4**2**2**2**4**4",
    "num_cities": 8,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 10,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Madrid"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Paris",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Florence. You would like to visit Lyon for 4 days. From day 4 to day 7, there is a annual show you want to attend in Lyon. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 1 and day 3. You want to spend 2 days in Prague. You would like to visit Madrid for 2 days. You plan to stay in Rome for 2 days. You plan to stay in Seville for 4 days. You would like to meet your friends at Seville between day 10 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nPrague and Madrid, Prague and Florence, Prague and Edinburgh, Rome and Edinburgh, Florence and Madrid, Paris and Seville, Paris and Florence, Rome and Madrid, Seville and Edinburgh, Rome and Seville, Paris and Lyon, Rome and Lyon, Madrid and Seville, Paris and Rome, Rome and Prague, Lyon and Madrid, Paris and Prague, Paris and Madrid, Lyon and Prague, Madrid and Edinburgh, Paris and Edinburgh.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 16 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Florence. You would like to visit Lyon for 4 days. From day 4 to day 7, there is a annual show you want to attend in Lyon. You would like to visit Paris for 3 days. You have to attend a workshop in Paris between day 1 and day 3. You want to spend 2 days in Prague. You would like to visit Madrid for 2 days. You plan to stay in Rome for 2 days. You plan to stay in Seville for 4 days. You would like to meet your friends at Seville between day 10 and day 13 to tour together.\n\nHere are the cities that have direct flights:\nfrom Prague to Madrid, from Prague to Florence, from Prague to Edinburgh, from Rome to Edinburgh, from Florence to Madrid, from Paris to Seville, from Paris to Florence, from Rome to Madrid, from Seville to Edinburgh, from Rome to Seville, from Paris to Lyon, from Rome to Lyon, from Madrid to Seville, from Paris to Rome, from Rome to Prague, from Lyon to Madrid, from Paris to Prague, from Paris to Madrid, from Lyon to Prague, from Madrid to Edinburgh, from Paris to Edinburgh.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 16 days:\n\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Lyon.\n**Day 4-7:** Visit Lyon for 4 days.\n**Day 7:** Fly from Lyon to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Seville.\n**Day 10-13:** Visit Seville for 4 days.\n**Day 13:** Fly from Seville to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.",
    "id": "trip_planning_example_1187",
    "estimated_output_tokens": 3074,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Fixed Schedule: Day 4 - 7.\n* City: Seville, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 4 - 7).\n |- The departure day of Paris is Day 3. The arrival day of Lyon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Florence, Prague, Madrid, Rome] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Paris to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 7).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Lyon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 7).\n   |- The departure day of Florence is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Florence].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Florence to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 7).\n   |- The departure day of Prague is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Prague to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 7).\n   |- The departure day of Madrid is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Madrid to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Paris to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 4 - 7).\n   |- The departure day of Rome is Day 4. The arrival day of Lyon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Paris, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 10 - 13).\n     |- The departure day of Lyon is Day 7. The arrival day of Seville is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Rome, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Florence, Prague, Madrid] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Lyon to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lyon to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lyon to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 10 - 13).\n       |- The departure day of Prague is Day 8. The arrival day of Seville is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Paris, Rome, Lyon, Prague].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Florence, Madrid] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Prague to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 10 - 13).\n         |- The departure day of Edinburgh is Day 11. The arrival day of Seville is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Prague to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 10 - 13).\n         |- The departure day of Florence is Day 9. The arrival day of Seville is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Paris, Rome, Lyon, Prague, Florence].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Madrid] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Florence to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Florence to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 10 - 13).\n           |- The departure day of Madrid is Day 10. The arrival day of Seville is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Paris, Rome, Lyon, Prague, Florence, Madrid].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- Yes. The city with an arrival day of Day 10 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n             |- Check for direct flight from Madrid to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Paris, Rome, Lyon, Prague, Florence, Madrid, Seville].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Edinburgh] and explore these options in order.\n               |- Try arranging to visit Edinburgh from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Seville to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Paris, Rome, Lyon, Prague, Florence, Madrid, Seville, Edinburgh].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Paris and visit Paris for 3 days.\n**Day 3:** Fly from Paris to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Lyon.\n**Day 4-7:** Visit Lyon for 4 days.\n**Day 7:** Fly from Lyon to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-10:** Visit Madrid for 2 days.\n**Day 10:** Fly from Madrid to Seville.\n**Day 10-13:** Visit Seville for 4 days.\n**Day 13:** Fly from Seville to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Edinburgh**Stuttgart**Vienna**Lyon**Split**Naples**Manchester",
    "ground_truth_durations": "5**4**5**5**2**3**4**2",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Naples"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Madrid",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Lyon. You would like to visit Naples for 4 days. During day 19 and day 22, you have to attend a conference in Naples. You plan to stay in Madrid for 5 days. You would like to visit Manchester for 2 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 17 and day 19. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 12 and day 16. You would like to visit Stuttgart for 5 days. From day 8 to day 12, there is a annual show you want to attend in Stuttgart.\n\nHere are the cities that have direct flights:\nSplit and Naples, Stuttgart and Naples, Edinburgh and Stuttgart, Madrid and Edinburgh, Stuttgart and Manchester, Naples and Manchester, Vienna and Lyon, Madrid and Split, Stuttgart and Vienna, Vienna and Naples, from Manchester to Split, Madrid and Manchester, Vienna and Manchester, Stuttgart and Split, Madrid and Vienna, Vienna and Split, Lyon and Split, Madrid and Naples, Madrid and Lyon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You want to spend 2 days in Lyon. You would like to visit Naples for 4 days. During day 19 and day 22, you have to attend a conference in Naples. You plan to stay in Madrid for 5 days. You would like to visit Manchester for 2 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 17 and day 19. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 12 and day 16. You would like to visit Stuttgart for 5 days. From day 8 to day 12, there is a annual show you want to attend in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Split to Naples, from Stuttgart to Naples, from Edinburgh to Stuttgart, from Madrid to Edinburgh, from Stuttgart to Manchester, from Naples to Manchester, from Vienna to Lyon, from Madrid to Split, from Stuttgart to Vienna, from Vienna to Naples, from Manchester to Split, from Madrid to Manchester, from Vienna to Manchester, from Stuttgart to Split, from Madrid to Vienna, from Vienna to Split, from Lyon to Split, from Madrid to Naples, from Madrid to Lyon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-19:** Visit Split for 3 days.\n**Day 19:** Fly from Split to Naples.\n**Day 19-22:** Visit Naples for 4 days.\n**Day 22:** Fly from Naples to Manchester.\n**Day 22-23:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1188",
    "estimated_output_tokens": 2641,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Madrid, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 8 - 12.\n* City: Vienna, Fixed Schedule: Day 12 - 16.\n* City: Split, Fixed Schedule: Day 17 - 19.\n* City: Naples, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Madrid, Duration: 5 days.\n* City: Manchester, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Lyon, Madrid, Manchester] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 8 - 12).\n |- The departure day of Edinburgh is Day 4. The arrival day of Stuttgart is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Edinburgh to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 8 - 12).\n |- The departure day of Lyon is Day 2. The arrival day of Stuttgart is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 8 - 12).\n |- The departure day of Madrid is Day 5. The arrival day of Stuttgart is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Lyon, Manchester] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 8 - 12).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Stuttgart is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vienna (Day 12 - 16).\n     |- The departure day of Stuttgart is Day 12. The arrival day of Vienna is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Madrid, Edinburgh, Stuttgart].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Stuttgart to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 17 - 19).\n       |- The departure day of Vienna is Day 16. The arrival day of Split is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Madrid, Edinburgh, Stuttgart, Vienna].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Vienna to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 17 - 19).\n         |- The departure day of Lyon is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Madrid, Edinburgh, Stuttgart, Vienna, Lyon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n           |- Try arranging to visit Split from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Lyon to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Naples (Day 19 - 22).\n           |- The departure day of Split is Day 19. The arrival day of Naples is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Madrid, Edinburgh, Stuttgart, Vienna, Lyon, Split].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Split to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Madrid, Edinburgh, Stuttgart, Vienna, Lyon, Split, Naples].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Naples to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Madrid, Edinburgh, Stuttgart, Vienna, Lyon, Split, Naples, Manchester].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-19:** Visit Split for 3 days.\n**Day 19:** Fly from Split to Naples.\n**Day 19-22:** Visit Naples for 4 days.\n**Day 22:** Fly from Naples to Manchester.\n**Day 22-23:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Milan**Stuttgart**Naples**Nice**Riga**Frankfurt**Florence",
    "ground_truth_durations": "4**4**4**5**5**5**3**2",
    "num_cities": 8,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Split",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. From day 4 to day 7, there is a annual show you want to attend in Milan. You want to spend 4 days in Split. You would like to visit Florence for 2 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 7 and day 10. You would like to visit Riga for 5 days. You plan to stay in Naples for 5 days. You would like to meet your friends at Naples between day 10 and day 14 to tour together. You would like to visit Frankfurt for 3 days. You would like to visit Nice for 5 days.\n\nHere are the cities that have direct flights:\nNice and Frankfurt, Milan and Stuttgart, Nice and Riga, Naples and Frankfurt, Split and Stuttgart, Split and Naples, Stuttgart and Frankfurt, Milan and Frankfurt, Naples and Nice, Stuttgart and Naples, Split and Milan, Frankfurt and Florence, Milan and Naples, Milan and Riga, Riga and Frankfurt, Split and Frankfurt.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. From day 4 to day 7, there is a annual show you want to attend in Milan. You want to spend 4 days in Split. You would like to visit Florence for 2 days. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 7 and day 10. You would like to visit Riga for 5 days. You plan to stay in Naples for 5 days. You would like to meet your friends at Naples between day 10 and day 14 to tour together. You would like to visit Frankfurt for 3 days. You would like to visit Nice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Nice to Frankfurt, from Milan to Stuttgart, from Nice to Riga, from Naples to Frankfurt, from Split to Stuttgart, from Split to Naples, from Stuttgart to Frankfurt, from Milan to Frankfurt, from Naples to Nice, from Stuttgart to Naples, from Split to Milan, from Frankfurt to Florence, from Milan to Naples, from Milan to Riga, from Riga to Frankfurt, from Split to Frankfurt.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 25 days:\n\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Stuttgart.\n**Day 7-10:** Visit Stuttgart for 4 days.\n**Day 10:** Fly from Stuttgart to Naples.\n**Day 10-14:** Visit Naples for 5 days.\n**Day 14:** Fly from Naples to Nice.\n**Day 14-18:** Visit Nice for 5 days.\n**Day 18:** Fly from Nice to Riga.\n**Day 18-22:** Visit Riga for 5 days.\n**Day 22:** Fly from Riga to Frankfurt.\n**Day 22-24:** Visit Frankfurt for 3 days.\n**Day 24:** Fly from Frankfurt to Florence.\n**Day 24-25:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1189",
    "estimated_output_tokens": 2586,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Split, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Riga, Duration: 5 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Frankfurt, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 4 - 7.\n* City: Stuttgart, Fixed Schedule: Day 7 - 10.\n* City: Naples, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Split, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Florence, Riga, Frankfurt, Nice] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Split is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Split to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 7 - 10).\n   |- The departure day of Milan is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 10 - 14).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Milan, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stuttgart to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Milan, Stuttgart, Naples].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Riga, Frankfurt, Nice] and explore these options in order.\n         |- Try arranging to visit Florence from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Naples to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Naples to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Split, Milan, Stuttgart, Naples, Frankfurt].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Riga, Nice] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Split, Milan, Stuttgart, Naples, Frankfurt, Florence].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Nice] and explore these options in order.\n             |- Try arranging to visit Riga from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Florence to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Florence to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Frankfurt to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Frankfurt to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Nice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Naples to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Split, Milan, Stuttgart, Naples, Nice].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Riga, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Florence from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Nice to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Nice to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Split, Milan, Stuttgart, Naples, Nice, Riga].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Florence from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Riga to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Riga to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Split, Milan, Stuttgart, Naples, Nice, Riga, Frankfurt].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n               |- Try arranging to visit Florence from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Frankfurt to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Split, Milan, Stuttgart, Naples, Nice, Riga, Frankfurt, Florence].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Split and visit Split for 4 days.\n**Day 4:** Fly from Split to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Stuttgart.\n**Day 7-10:** Visit Stuttgart for 4 days.\n**Day 10:** Fly from Stuttgart to Naples.\n**Day 10-14:** Visit Naples for 5 days.\n**Day 14:** Fly from Naples to Nice.\n**Day 14-18:** Visit Nice for 5 days.\n**Day 18:** Fly from Nice to Riga.\n**Day 18-22:** Visit Riga for 5 days.\n**Day 22:** Fly from Riga to Frankfurt.\n**Day 22-24:** Visit Frankfurt for 3 days.\n**Day 24:** Fly from Frankfurt to Florence.\n**Day 24-25:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Vienna**Krakow**Copenhagen**Reykjavik**Athens**Split**Vilnius",
    "ground_truth_durations": "5**4**2**2**3**5**4**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You want to spend 4 days in Vienna. You plan to visit relatives in Vienna between day 5 and day 8. You plan to stay in Reykjavik for 3 days. You plan to stay in Copenhagen for 2 days. You want to spend 2 days in Krakow. You would like to meet your friends at Krakow between day 8 and day 9 to tour together. You would like to visit Vilnius for 2 days. You want to spend 4 days in Split. You want to meet a friend in Split between day 16 and day 19. You plan to stay in Athens for 5 days.\n\nHere are the cities that have direct flights:\nKrakow and Copenhagen, Copenhagen and Vilnius, Copenhagen and Athens, from Reykjavik to Athens, Vienna and Split, Vienna and Reykjavik, Seville and Vienna, Krakow and Split, Vienna and Krakow, Vienna and Copenhagen, Split and Vilnius, Vienna and Vilnius, Vienna and Athens, Athens and Vilnius, from Krakow to Vilnius, Athens and Split, Copenhagen and Reykjavik, Copenhagen and Split.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You want to spend 4 days in Vienna. You plan to visit relatives in Vienna between day 5 and day 8. You plan to stay in Reykjavik for 3 days. You plan to stay in Copenhagen for 2 days. You want to spend 2 days in Krakow. You would like to meet your friends at Krakow between day 8 and day 9 to tour together. You would like to visit Vilnius for 2 days. You want to spend 4 days in Split. You want to meet a friend in Split between day 16 and day 19. You plan to stay in Athens for 5 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Copenhagen, from Copenhagen to Vilnius, from Copenhagen to Athens, from Reykjavik to Athens, from Vienna to Split, from Vienna to Reykjavik, from Seville to Vienna, from Krakow to Split, from Vienna to Krakow, from Vienna to Copenhagen, from Split to Vilnius, from Vienna to Vilnius, from Vienna to Athens, from Athens to Vilnius, from Krakow to Vilnius, from Athens to Split, from Copenhagen to Reykjavik, from Copenhagen to Split.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Athens.\n**Day 12-16:** Visit Athens for 5 days.\n**Day 16:** Fly from Athens to Split.\n**Day 16-19:** Visit Split for 4 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-20:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1190",
    "estimated_output_tokens": 2158,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Reykjavik, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Vilnius, Duration: 2 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Athens, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 5 - 8.\n* City: Krakow, Fixed Schedule: Day 8 - 9.\n* City: Split, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Athens, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Reykjavik, Copenhagen, Vilnius, Athens] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 8).\n |- The departure day of Seville is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 8 - 9).\n   |- The departure day of Vienna is Day 8. The arrival day of Krakow is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Seville, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Vienna to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 19).\n     |- The departure day of Krakow is Day 9. The arrival day of Split is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Vienna, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Copenhagen, Vilnius, Athens] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Krakow to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Krakow to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 16 - 19).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Split is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Vienna, Krakow, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Athens] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Copenhagen to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 16 - 19).\n         |- The departure day of Reykjavik is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Seville, Vienna, Krakow, Copenhagen, Reykjavik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Athens] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Reykjavik to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 16 - 19).\n           |- The departure day of Athens is Day 16. The arrival day of Split is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Vienna, Krakow, Copenhagen, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Split.\n             |- Try arranging to visit Split from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Athens to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Seville, Vienna, Krakow, Copenhagen, Reykjavik, Athens, Split].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Split to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Seville, Vienna, Krakow, Copenhagen, Reykjavik, Athens, Split, Vilnius].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Copenhagen.\n**Day 9-10:** Visit Copenhagen for 2 days.\n**Day 10:** Fly from Copenhagen to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Athens.\n**Day 12-16:** Visit Athens for 5 days.\n**Day 16:** Fly from Athens to Split.\n**Day 16-19:** Visit Split for 4 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-20:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Dublin**Lisbon**Stuttgart**Istanbul**Tallinn**Zurich**Dubrovnik",
    "ground_truth_durations": "5**2**3**2**3**2**5**2",
    "num_cities": 8,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 3 days in Lisbon. You plan to stay in Dublin for 2 days. You want to spend 2 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 16 and day 17. You would like to visit Zurich for 5 days. You are going to attend a wedding in Zurich between day 12 and day 16. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 9 and day 11 to tour together. You want to spend 5 days in Santorini. You would like to visit Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Zurich, Stuttgart and Istanbul, from Istanbul to Tallinn, Tallinn and Zurich, Santorini and Dublin, Santorini and Zurich, Lisbon and Stuttgart, Dublin and Tallinn, from Dubrovnik to Istanbul, Lisbon and Istanbul, Zurich and Dubrovnik, Dublin and Lisbon, Istanbul and Zurich, Dublin and Zurich, Dublin and Dubrovnik, Dublin and Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 3 days in Lisbon. You plan to stay in Dublin for 2 days. You want to spend 2 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 16 and day 17. You would like to visit Zurich for 5 days. You are going to attend a wedding in Zurich between day 12 and day 16. You plan to stay in Istanbul for 3 days. You would like to meet your friends at Istanbul between day 9 and day 11 to tour together. You want to spend 5 days in Santorini. You would like to visit Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Zurich, from Stuttgart to Istanbul, from Istanbul to Tallinn, from Tallinn to Zurich, from Santorini to Dublin, from Santorini to Zurich, from Lisbon to Stuttgart, from Dublin to Tallinn, from Dubrovnik to Istanbul, from Lisbon to Istanbul, from Zurich to Dubrovnik, from Dublin to Lisbon, from Istanbul to Zurich, from Dublin to Zurich, from Dublin to Dubrovnik, from Dublin to Istanbul.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 17 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Dublin.\n**Day 5-6:** Visit Dublin for 2 days.\n**Day 6:** Fly from Dublin to Lisbon.\n**Day 6-8:** Visit Lisbon for 3 days.\n**Day 8:** Fly from Lisbon to Stuttgart.\n**Day 8-9:** Visit Stuttgart for 2 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Dubrovnik.\n**Day 16-17:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1191",
    "estimated_output_tokens": 4597,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Santorini, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 9 - 11.\n* City: Zurich, Fixed Schedule: Day 12 - 16.\n* City: Dubrovnik, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Dublin, Santorini, Tallinn] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 11).\n |- The departure day of Stuttgart is Day 2. The arrival day of Istanbul is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Dublin, Santorini, Tallinn] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stuttgart to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stuttgart to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 11).\n |- The departure day of Lisbon is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dublin, Santorini, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 11).\n   |- The departure day of Stuttgart is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Stuttgart].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Santorini, Tallinn] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stuttgart to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stuttgart to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stuttgart to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 11).\n |- The departure day of Dublin is Day 2. The arrival day of Istanbul is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Santorini, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dublin to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dublin to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 11).\n   |- The departure day of Lisbon is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dublin, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Santorini, Tallinn] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 11).\n     |- The departure day of Stuttgart is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Dublin, Lisbon, Stuttgart].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Stuttgart to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Stuttgart to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lisbon to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dublin to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dublin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 11).\n   |- The departure day of Tallinn is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Dublin, Tallinn].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Santorini] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Tallinn to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Tallinn to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Tallinn to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 11).\n |- The departure day of Santorini is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Dublin, Tallinn] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 11).\n   |- The departure day of Dublin is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lisbon, Tallinn] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dublin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 11).\n     |- The departure day of Lisbon is Day 8. The arrival day of Istanbul is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Dublin, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Tallinn] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 9 - 11).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Dublin, Lisbon, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stuttgart to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Zurich (Day 12 - 16).\n         |- The departure day of Istanbul is Day 11. The arrival day of Zurich is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Dublin, Lisbon, Stuttgart, Istanbul].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Istanbul to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Zurich (Day 12 - 16).\n           |- The departure day of Tallinn is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Santorini, Dublin, Lisbon, Stuttgart, Istanbul, Tallinn].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n             |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Tallinn to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 16 - 17).\n             |- The departure day of Zurich is Day 16. The arrival day of Dubrovnik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Dublin, Lisbon, Stuttgart, Istanbul, Tallinn, Zurich].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Zurich to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Santorini, Dublin, Lisbon, Stuttgart, Istanbul, Tallinn, Zurich, Dubrovnik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Dublin.\n**Day 5-6:** Visit Dublin for 2 days.\n**Day 6:** Fly from Dublin to Lisbon.\n**Day 6-8:** Visit Lisbon for 3 days.\n**Day 8:** Fly from Lisbon to Stuttgart.\n**Day 8-9:** Visit Stuttgart for 2 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Dubrovnik.\n**Day 16-17:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Rome**Copenhagen**Milan**Valencia**Stuttgart**Stockholm**Reykjavik",
    "ground_truth_durations": "2**5**5**4**4**3**2**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. From day 6 to day 10, there is a annual show you want to attend in Copenhagen. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 16 and day 18. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 1 and day 2. You plan to stay in Reykjavik for 2 days. You plan to stay in Valencia for 4 days. You would like to visit Rome for 5 days. You want to spend 2 days in Stockholm. You would like to visit Milan for 4 days. During day 10 and day 13, you have to attend a conference in Milan.\n\nHere are the cities that have direct flights:\nRome and Copenhagen, Rome and Stuttgart, Rome and Reykjavik, Rome and Valencia, Venice and Stuttgart, Copenhagen and Valencia, Rome and Stockholm, Copenhagen and Stockholm, Venice and Rome, Valencia and Stuttgart, Stockholm and Reykjavik, Venice and Copenhagen, Milan and Stuttgart, from Reykjavik to Stuttgart, Copenhagen and Stuttgart, Milan and Valencia, Stuttgart and Stockholm, Copenhagen and Reykjavik, Milan and Stockholm, Milan and Reykjavik, Copenhagen and Milan.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. From day 6 to day 10, there is a annual show you want to attend in Copenhagen. You plan to stay in Stuttgart for 3 days. You plan to visit relatives in Stuttgart between day 16 and day 18. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 1 and day 2. You plan to stay in Reykjavik for 2 days. You plan to stay in Valencia for 4 days. You would like to visit Rome for 5 days. You want to spend 2 days in Stockholm. You would like to visit Milan for 4 days. During day 10 and day 13, you have to attend a conference in Milan.\n\nHere are the cities that have direct flights:\nfrom Rome to Copenhagen, from Rome to Stuttgart, from Rome to Reykjavik, from Rome to Valencia, from Venice to Stuttgart, from Copenhagen to Valencia, from Rome to Stockholm, from Copenhagen to Stockholm, from Venice to Rome, from Valencia to Stuttgart, from Stockholm to Reykjavik, from Venice to Copenhagen, from Milan to Stuttgart, from Reykjavik to Stuttgart, from Copenhagen to Stuttgart, from Milan to Valencia, from Stuttgart to Stockholm, from Copenhagen to Reykjavik, from Milan to Stockholm, from Milan to Reykjavik, from Copenhagen to Milan.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Milan.\n**Day 10-13:** Visit Milan for 4 days.\n**Day 13:** Fly from Milan to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Stuttgart.\n**Day 16-18:** Visit Stuttgart for 3 days.\n**Day 18:** Fly from Stuttgart to Stockholm.\n**Day 18-19:** Visit Stockholm for 2 days.\n**Day 19:** Fly from Stockholm to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1192",
    "estimated_output_tokens": 2425,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 2.\n* City: Copenhagen, Fixed Schedule: Day 6 - 10.\n* City: Milan, Fixed Schedule: Day 10 - 13.\n* City: Stuttgart, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 10).\n |- The departure day of Venice is Day 2. The arrival day of Copenhagen is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Rome, Stockholm] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 6 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 10 - 13).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Rome, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 16 - 18).\n       |- The departure day of Milan is Day 13. The arrival day of Stuttgart is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Venice, Rome, Copenhagen, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Stockholm] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Milan to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 16 - 18).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Stuttgart is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Rome, Copenhagen, Milan, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Stockholm] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Reykjavik to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Milan to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 16 - 18).\n         |- The departure day of Valencia is Day 16. The arrival day of Stuttgart is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Venice, Rome, Copenhagen, Milan, Valencia].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Valencia to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Venice, Rome, Copenhagen, Milan, Valencia, Stuttgart].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Venice, Rome, Copenhagen, Milan, Valencia, Stuttgart, Stockholm].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Stockholm to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Venice, Rome, Copenhagen, Milan, Valencia, Stuttgart, Stockholm, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Milan.\n**Day 10-13:** Visit Milan for 4 days.\n**Day 13:** Fly from Milan to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Stuttgart.\n**Day 16-18:** Visit Stuttgart for 3 days.\n**Day 18:** Fly from Stuttgart to Stockholm.\n**Day 18-19:** Visit Stockholm for 2 days.\n**Day 19:** Fly from Stockholm to Reykjavik.\n**Day 19-20:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Berlin**Krakow**Valencia**Dublin**Hamburg**Oslo**Tallinn",
    "ground_truth_durations": "2**2**4**2**2**2**3**3",
    "num_cities": 8,
    "total_days": 13,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Berlin",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to spend 2 days in Berlin. You plan to stay in Hamburg for 2 days. You want to meet a friend in Hamburg between day 8 and day 9. You want to spend 3 days in Oslo. You plan to stay in Geneva for 2 days. From day 1 to day 2, there is a annual show you want to attend in Geneva. You would like to visit Dublin for 2 days. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 6 and day 7 to tour together. You want to spend 3 days in Tallinn. You plan to visit relatives in Tallinn between day 11 and day 13.\n\nHere are the cities that have direct flights:\nDublin and Tallinn, Geneva and Oslo, Geneva and Berlin, Geneva and Dublin, Hamburg and Oslo, Krakow and Valencia, Krakow and Oslo, Valencia and Dublin, from Hamburg to Geneva, Dublin and Oslo, Berlin and Dublin, Berlin and Tallinn, Berlin and Krakow, Geneva and Valencia, Berlin and Oslo, Dublin and Hamburg, Krakow and Dublin, Oslo and Tallinn, Berlin and Valencia.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 13 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to spend 2 days in Berlin. You plan to stay in Hamburg for 2 days. You want to meet a friend in Hamburg between day 8 and day 9. You want to spend 3 days in Oslo. You plan to stay in Geneva for 2 days. From day 1 to day 2, there is a annual show you want to attend in Geneva. You would like to visit Dublin for 2 days. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 6 and day 7 to tour together. You want to spend 3 days in Tallinn. You plan to visit relatives in Tallinn between day 11 and day 13.\n\nHere are the cities that have direct flights:\nfrom Dublin to Tallinn, from Geneva to Oslo, from Geneva to Berlin, from Geneva to Dublin, from Hamburg to Oslo, from Krakow to Valencia, from Krakow to Oslo, from Valencia to Dublin, from Hamburg to Geneva, from Dublin to Oslo, from Berlin to Dublin, from Berlin to Tallinn, from Berlin to Krakow, from Geneva to Valencia, from Berlin to Oslo, from Dublin to Hamburg, from Krakow to Dublin, from Oslo to Tallinn, from Berlin to Valencia.\n\nFind a trip plan of visiting the cities for 13 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 13 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Krakow.\n**Day 3-6:** Visit Krakow for 4 days.\n**Day 6:** Fly from Krakow to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Dublin.\n**Day 7-8:** Visit Dublin for 2 days.\n**Day 8:** Fly from Dublin to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1193",
    "estimated_output_tokens": 2117,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Oslo, Duration: 3 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dublin, Duration: 2 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Fixed Schedule: Day 6 - 7.\n* City: Hamburg, Fixed Schedule: Day 8 - 9.\n* City: Tallinn, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Oslo, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 6 - 7).\n |- The departure day of Geneva is Day 2. The arrival day of Valencia is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Berlin, Oslo, Dublin] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 6 - 7).\n   |- The departure day of Berlin is Day 3. The arrival day of Valencia is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Geneva, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Oslo, Dublin] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Berlin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 6 - 7).\n     |- The departure day of Krakow is Day 6. The arrival day of Valencia is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Geneva, Berlin, Krakow].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Hamburg (Day 8 - 9).\n       |- The departure day of Valencia is Day 7. The arrival day of Hamburg is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Geneva, Berlin, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Dublin] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Valencia to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Valencia to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 8 - 9).\n         |- The departure day of Dublin is Day 8. The arrival day of Hamburg is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Geneva, Berlin, Krakow, Valencia, Dublin].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Dublin to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 11 - 13).\n           |- The departure day of Hamburg is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Geneva, Berlin, Krakow, Valencia, Dublin, Hamburg].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n             |- Check for direct flight from Hamburg to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 13).\n             |- The departure day of Oslo is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Geneva, Berlin, Krakow, Valencia, Dublin, Hamburg, Oslo].\n              |- Check whether the city with an arrival day of Day 11 - is fixed.\n              |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n               |- Check for direct flight from Oslo to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 13. Current plan: [Geneva, Berlin, Krakow, Valencia, Dublin, Hamburg, Oslo, Tallinn].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Krakow.\n**Day 3-6:** Visit Krakow for 4 days.\n**Day 6:** Fly from Krakow to Valencia.\n**Day 6-7:** Visit Valencia for 2 days.\n**Day 7:** Fly from Valencia to Dublin.\n**Day 7-8:** Visit Dublin for 2 days.\n**Day 8:** Fly from Dublin to Hamburg.\n**Day 8-9:** Visit Hamburg for 2 days.\n**Day 9:** Fly from Hamburg to Oslo.\n**Day 9-11:** Visit Oslo for 3 days.\n**Day 11:** Fly from Oslo to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Dubrovnik**Rome**Edinburgh**Porto**Milan**Barcelona**Split",
    "ground_truth_durations": "2**4**4**5**2**5**3**2",
    "num_cities": 8,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Munich",
        "Rome"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Porto",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Rome. You want to spend 2 days in Split. You want to meet a friend in Split between day 19 and day 20. You want to spend 2 days in Munich. During day 1 and day 2, you have to attend a conference in Munich. You want to spend 3 days in Barcelona. You would like to visit Dubrovnik for 4 days. You would like to visit Porto for 2 days. You would like to visit Edinburgh for 5 days. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 13 and day 17.\n\nHere are the cities that have direct flights:\nMunich and Barcelona, Edinburgh and Barcelona, Edinburgh and Porto, Munich and Rome, Rome and Edinburgh, Milan and Barcelona, Munich and Split, Munich and Milan, Edinburgh and Milan, Munich and Edinburgh, Rome and Split, Munich and Porto, Barcelona and Split, Dubrovnik and Barcelona, Dubrovnik and Rome, Munich and Dubrovnik, Rome and Barcelona, Porto and Barcelona, Milan and Split, Porto and Milan.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Rome. You want to spend 2 days in Split. You want to meet a friend in Split between day 19 and day 20. You want to spend 2 days in Munich. During day 1 and day 2, you have to attend a conference in Munich. You want to spend 3 days in Barcelona. You would like to visit Dubrovnik for 4 days. You would like to visit Porto for 2 days. You would like to visit Edinburgh for 5 days. You plan to stay in Milan for 5 days. You have to attend a workshop in Milan between day 13 and day 17.\n\nHere are the cities that have direct flights:\nfrom Munich to Barcelona, from Edinburgh to Barcelona, from Edinburgh to Porto, from Munich to Rome, from Rome to Edinburgh, from Milan to Barcelona, from Munich to Split, from Munich to Milan, from Edinburgh to Milan, from Munich to Edinburgh, from Rome to Split, from Munich to Porto, from Barcelona to Split, from Dubrovnik to Barcelona, from Dubrovnik to Rome, from Munich to Dubrovnik, from Rome to Barcelona, from Porto to Barcelona, from Milan to Split, from Porto to Milan.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 20 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Barcelona.\n**Day 17-19:** Visit Barcelona for 3 days.\n**Day 19:** Fly from Barcelona to Split.\n**Day 19-20:** Visit Split for 2 days.",
    "id": "trip_planning_example_1194",
    "estimated_output_tokens": 4672,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Barcelona, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Porto, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Milan, Fixed Schedule: Day 13 - 17.\n* City: Split, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Barcelona, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Porto, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 13 - 17).\n |- The departure day of Munich is Day 2. The arrival day of Milan is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Barcelona, Dubrovnik, Porto, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 13 - 17).\n   |- The departure day of Rome is Day 5. The arrival day of Milan is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Dubrovnik, Porto, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 17).\n     |- The departure day of Barcelona is Day 7. The arrival day of Milan is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Rome, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Barcelona to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Barcelona to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Barcelona to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 17).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Milan is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Dubrovnik, Porto] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 17).\n       |- The departure day of Barcelona is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Rome, Edinburgh, Barcelona].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Barcelona to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Barcelona to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Edinburgh to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Edinburgh to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 17).\n       |- The departure day of Porto is Day 10. The arrival day of Milan is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Rome, Edinburgh, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Porto to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 13 - 17).\n         |- The departure day of Barcelona is Day 12. The arrival day of Milan is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Rome, Edinburgh, Porto, Barcelona].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Barcelona to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Porto to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 13 - 17).\n   |- The departure day of Barcelona is Day 4. The arrival day of Milan is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Munich, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Dubrovnik, Porto, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Barcelona to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Barcelona to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Barcelona to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Barcelona to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 13 - 17).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Milan is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Barcelona, Porto, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dubrovnik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 17).\n     |- The departure day of Rome is Day 8. The arrival day of Milan is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Dubrovnik, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Rome to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 13 - 17).\n       |- The departure day of Barcelona is Day 10. The arrival day of Milan is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Dubrovnik, Rome, Barcelona].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Barcelona to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Barcelona to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Rome to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Rome to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 13 - 17).\n       |- The departure day of Edinburgh is Day 12. The arrival day of Milan is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Munich, Dubrovnik, Rome, Edinburgh].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Porto] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Edinburgh to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 13 - 17).\n         |- The departure day of Barcelona is Day 14. The arrival day of Milan is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Edinburgh to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 13 - 17).\n         |- The departure day of Porto is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Dubrovnik, Rome, Edinburgh, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Porto to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 19 - 20).\n           |- The departure day of Milan is Day 17. The arrival day of Split is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Munich, Dubrovnik, Rome, Edinburgh, Porto, Milan].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n             |- Try arranging to visit Barcelona from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Milan to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 19 - 20).\n             |- The departure day of Barcelona is Day 19. The arrival day of Split is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Munich, Dubrovnik, Rome, Edinburgh, Porto, Milan, Barcelona].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Split.\n               |- Try arranging to visit Split from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Barcelona to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Munich, Dubrovnik, Rome, Edinburgh, Porto, Milan, Barcelona, Split].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Dubrovnik.\n**Day 2-5:** Visit Dubrovnik for 4 days.\n**Day 5:** Fly from Dubrovnik to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Edinburgh.\n**Day 8-12:** Visit Edinburgh for 5 days.\n**Day 12:** Fly from Edinburgh to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Barcelona.\n**Day 17-19:** Visit Barcelona for 3 days.\n**Day 19:** Fly from Barcelona to Split.\n**Day 19-20:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Milan**Valencia**Amsterdam**Lyon**Split**Frankfurt**Salzburg",
    "ground_truth_durations": "5**4**2**3**4**5**3**2",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Milan",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Zurich. During day 1 and day 5, you have to attend a conference in Zurich. You want to spend 2 days in Valencia. From day 8 to day 9, there is a annual show you want to attend in Valencia. You want to spend 4 days in Lyon. You plan to visit relatives in Lyon between day 11 and day 14. You would like to visit Frankfurt for 3 days. You plan to stay in Split for 5 days. You plan to stay in Amsterdam for 3 days. You plan to stay in Milan for 4 days. You would like to visit Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Split, Valencia and Frankfurt, Amsterdam and Frankfurt, Milan and Amsterdam, Valencia and Amsterdam, Valencia and Lyon, Frankfurt and Salzburg, Lyon and Split, Amsterdam and Lyon, Zurich and Valencia, Split and Frankfurt, Zurich and Milan, Zurich and Amsterdam, Zurich and Frankfurt, Lyon and Frankfurt, Milan and Valencia, Zurich and Split, Milan and Split, Milan and Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Zurich. During day 1 and day 5, you have to attend a conference in Zurich. You want to spend 2 days in Valencia. From day 8 to day 9, there is a annual show you want to attend in Valencia. You want to spend 4 days in Lyon. You plan to visit relatives in Lyon between day 11 and day 14. You would like to visit Frankfurt for 3 days. You plan to stay in Split for 5 days. You plan to stay in Amsterdam for 3 days. You plan to stay in Milan for 4 days. You would like to visit Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Split, from Valencia to Frankfurt, from Amsterdam to Frankfurt, from Milan to Amsterdam, from Valencia to Amsterdam, from Valencia to Lyon, from Frankfurt to Salzburg, from Lyon to Split, from Amsterdam to Lyon, from Zurich to Valencia, from Split to Frankfurt, from Zurich to Milan, from Zurich to Amsterdam, from Zurich to Frankfurt, from Lyon to Frankfurt, from Milan to Valencia, from Zurich to Split, from Milan to Split, from Milan to Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Amsterdam.\n**Day 9-11:** Visit Amsterdam for 3 days.\n**Day 11:** Fly from Amsterdam to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.\n**Day 14:** Fly from Lyon to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Frankfurt.\n**Day 18-20:** Visit Frankfurt for 3 days.\n**Day 20:** Fly from Frankfurt to Salzburg.\n**Day 20-21:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1195",
    "estimated_output_tokens": 3911,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Frankfurt, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Salzburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Fixed Schedule: Day 8 - 9.\n* City: Lyon, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Salzburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 8 - 9).\n |- The departure day of Zurich is Day 5. The arrival day of Valencia is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Split, Amsterdam, Milan, Salzburg] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Zurich to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Amsterdam, Milan, Salzburg] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Frankfurt to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Frankfurt to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 9).\n     |- The departure day of Salzburg is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Frankfurt, Salzburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Salzburg to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Zurich to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n   |- The departure day of Split is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Zurich to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Split, Milan, Salzburg] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Amsterdam to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 9).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 9).\n     |- The departure day of Split is Day 11. The arrival day of Valencia is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Amsterdam to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Zurich to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n   |- The departure day of Milan is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Milan to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 11 - 14).\n     |- The departure day of Valencia is Day 9. The arrival day of Lyon is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Zurich, Milan, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Split, Amsterdam, Salzburg] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Valencia to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 11 - 14).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Milan, Valencia, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Valencia to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Valencia to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 11 - 14).\n       |- The departure day of Amsterdam is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Milan, Valencia, Amsterdam].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Split, Salzburg] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Lyon to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon, Frankfurt].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Salzburg] and explore these options in order.\n             |- Try arranging to visit Split from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Frankfurt to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon, Frankfurt, Salzburg].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Salzburg to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lyon to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon, Split].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Split to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon, Split, Frankfurt].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Frankfurt to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Zurich, Milan, Valencia, Amsterdam, Lyon, Split, Frankfurt, Salzburg].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Amsterdam.\n**Day 9-11:** Visit Amsterdam for 3 days.\n**Day 11:** Fly from Amsterdam to Lyon.\n**Day 11-14:** Visit Lyon for 4 days.\n**Day 14:** Fly from Lyon to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Frankfurt.\n**Day 18-20:** Visit Frankfurt for 3 days.\n**Day 20:** Fly from Frankfurt to Salzburg.\n**Day 20-21:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Tallinn**Vilnius**Zurich**Dubrovnik**Manchester**Lisbon**Porto",
    "ground_truth_durations": "4**3**4**5**5**5**2**5",
    "num_cities": 8,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Manchester",
        "Lisbon"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You would like to visit Zurich for 5 days. You plan to stay in Porto for 5 days. You are going to attend a wedding in Porto between day 22 and day 26. You plan to stay in Tallinn for 3 days. You want to meet a friend in Tallinn between day 4 and day 6. You plan to stay in Vilnius for 4 days. You would like to meet your friends at Vilnius between day 6 and day 9 to tour together. You plan to stay in Dubrovnik for 5 days. You would like to visit Lisbon for 2 days. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nLisbon and Porto, Berlin and Vilnius, from Tallinn to Vilnius, Berlin and Lisbon, Manchester and Lisbon, Manchester and Porto, Berlin and Tallinn, Berlin and Porto, Tallinn and Zurich, Berlin and Manchester, Zurich and Porto, Vilnius and Zurich, Zurich and Dubrovnik, Zurich and Manchester, Berlin and Zurich, Zurich and Lisbon, Dubrovnik and Manchester.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You would like to visit Zurich for 5 days. You plan to stay in Porto for 5 days. You are going to attend a wedding in Porto between day 22 and day 26. You plan to stay in Tallinn for 3 days. You want to meet a friend in Tallinn between day 4 and day 6. You plan to stay in Vilnius for 4 days. You would like to meet your friends at Vilnius between day 6 and day 9 to tour together. You plan to stay in Dubrovnik for 5 days. You would like to visit Lisbon for 2 days. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Porto, from Berlin to Vilnius, from Tallinn to Vilnius, from Berlin to Lisbon, from Manchester to Lisbon, from Manchester to Porto, from Berlin to Tallinn, from Berlin to Porto, from Tallinn to Zurich, from Berlin to Manchester, from Zurich to Porto, from Vilnius to Zurich, from Zurich to Dubrovnik, from Zurich to Manchester, from Berlin to Zurich, from Zurich to Lisbon, from Dubrovnik to Manchester.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 26 days:\n\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Tallinn.\n**Day 4-6:** Visit Tallinn for 3 days.\n**Day 6:** Fly from Tallinn to Vilnius.\n**Day 6-9:** Visit Vilnius for 4 days.\n**Day 9:** Fly from Vilnius to Zurich.\n**Day 9-13:** Visit Zurich for 5 days.\n**Day 13:** Fly from Zurich to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Manchester.\n**Day 17-21:** Visit Manchester for 5 days.\n**Day 21:** Fly from Manchester to Lisbon.\n**Day 21-22:** Visit Lisbon for 2 days.\n**Day 22:** Fly from Lisbon to Porto.\n**Day 22-26:** Visit Porto for 5 days.",
    "id": "trip_planning_example_1196",
    "estimated_output_tokens": 3386,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Dubrovnik, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 4 - 6.\n* City: Vilnius, Fixed Schedule: Day 6 - 9.\n* City: Porto, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Manchester, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Zurich, Dubrovnik, Lisbon, Berlin] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Manchester is Day 5. The arrival day of Tallinn is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Zurich is Day 5. The arrival day of Tallinn is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Tallinn is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Lisbon is Day 2. The arrival day of Tallinn is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Zurich, Dubrovnik, Berlin] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lisbon to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 6).\n |- The departure day of Berlin is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 6 - 9).\n   |- The departure day of Tallinn is Day 6. The arrival day of Vilnius is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Tallinn].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Vilnius.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Tallinn to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 22 - 26).\n     |- The departure day of Vilnius is Day 9. The arrival day of Porto is Day 22. Day 9 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Tallinn, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Zurich, Dubrovnik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 22 - 26).\n       |- The departure day of Zurich is Day 13. The arrival day of Porto is Day 22. Day 13 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Tallinn, Vilnius, Zurich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Lisbon] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Zurich to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 22 - 26).\n         |- The departure day of Manchester is Day 17. The arrival day of Porto is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Manchester].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Manchester to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Manchester to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 22 - 26).\n           |- The departure day of Lisbon is Day 18. The arrival day of Porto is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Manchester, Lisbon].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Lisbon to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 22 - 26).\n         |- The departure day of Dubrovnik is Day 17. The arrival day of Porto is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Lisbon] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Dubrovnik to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 22 - 26).\n           |- The departure day of Manchester is Day 21. The arrival day of Porto is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Dubrovnik, Manchester].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Manchester to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Porto (Day 22 - 26).\n             |- The departure day of Lisbon is Day 22. The arrival day of Porto is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Dubrovnik, Manchester, Lisbon].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Lisbon to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Berlin, Tallinn, Vilnius, Zurich, Dubrovnik, Manchester, Lisbon, Porto].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Tallinn.\n**Day 4-6:** Visit Tallinn for 3 days.\n**Day 6:** Fly from Tallinn to Vilnius.\n**Day 6-9:** Visit Vilnius for 4 days.\n**Day 9:** Fly from Vilnius to Zurich.\n**Day 9-13:** Visit Zurich for 5 days.\n**Day 13:** Fly from Zurich to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Manchester.\n**Day 17-21:** Visit Manchester for 5 days.\n**Day 21:** Fly from Manchester to Lisbon.\n**Day 21-22:** Visit Lisbon for 2 days.\n**Day 22:** Fly from Lisbon to Porto.\n**Day 22-26:** Visit Porto for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Vienna**Milan**Helsinki**Tallinn**Frankfurt**Valencia**Stuttgart",
    "ground_truth_durations": "2**5**3**4**3**4**4**3",
    "num_cities": 8,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Vienna",
        "Milan"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You would like to meet your friends at Stuttgart between day 19 and day 21 to tour together. You want to spend 3 days in Milan. You are going to attend a wedding in Milan between day 6 and day 8. You would like to visit Tallinn for 3 days. You want to spend 4 days in Valencia. You plan to stay in Frankfurt for 4 days. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 1 and day 2. You would like to visit Helsinki for 4 days. You want to spend 5 days in Vienna.\n\nHere are the cities that have direct flights:\nHelsinki and Frankfurt, Milan and Stuttgart, Vienna and Frankfurt, Tallinn and Frankfurt, Helsinki and Tallinn, Milan and Valencia, Nice and Vienna, Vienna and Milan, Vienna and Stuttgart, Milan and Helsinki, Milan and Frankfurt, Nice and Frankfurt, Frankfurt and Valencia, Valencia and Stuttgart, Vienna and Helsinki, Nice and Helsinki, Frankfurt and Stuttgart, Vienna and Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stuttgart. You would like to meet your friends at Stuttgart between day 19 and day 21 to tour together. You want to spend 3 days in Milan. You are going to attend a wedding in Milan between day 6 and day 8. You would like to visit Tallinn for 3 days. You want to spend 4 days in Valencia. You plan to stay in Frankfurt for 4 days. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 1 and day 2. You would like to visit Helsinki for 4 days. You want to spend 5 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Frankfurt, from Milan to Stuttgart, from Vienna to Frankfurt, from Tallinn to Frankfurt, from Helsinki to Tallinn, from Milan to Valencia, from Nice to Vienna, from Vienna to Milan, from Vienna to Stuttgart, from Milan to Helsinki, from Milan to Frankfurt, from Nice to Frankfurt, from Frankfurt to Valencia, from Valencia to Stuttgart, from Vienna to Helsinki, from Nice to Helsinki, from Frankfurt to Stuttgart, from Vienna to Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 21 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Vienna.\n**Day 2-6:** Visit Vienna for 5 days.\n**Day 6:** Fly from Vienna to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.\n**Day 19:** Fly from Valencia to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1197",
    "estimated_output_tokens": 4153,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Tallinn, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n* City: Milan, Fixed Schedule: Day 6 - 8.\n* City: Stuttgart, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 6 - 8).\n |- The departure day of Nice is Day 2. The arrival day of Milan is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Frankfurt, Helsinki, Vienna] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 6 - 8).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Milan is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Helsinki, Vienna] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Frankfurt to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 6 - 8).\n     |- The departure day of Valencia is Day 8. The arrival day of Milan is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Frankfurt to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 6 - 8).\n   |- The departure day of Helsinki is Day 5. The arrival day of Milan is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Frankfurt, Vienna] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Helsinki to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 6 - 8).\n     |- The departure day of Tallinn is Day 7. The arrival day of Milan is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 6 - 8).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Milan is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 6 - 8).\n   |- The departure day of Vienna is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vienna to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 19 - 21).\n     |- The departure day of Milan is Day 8. The arrival day of Stuttgart is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Vienna, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Frankfurt, Helsinki] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Milan to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 19 - 21).\n       |- The departure day of Valencia is Day 11. The arrival day of Stuttgart is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Vienna, Milan, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt, Helsinki] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Valencia to Frankfurt.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Valencia to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Milan to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 19 - 21).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Stuttgart is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Vienna, Milan, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Helsinki] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 19 - 21).\n         |- The departure day of Valencia is Day 14. The arrival day of Stuttgart is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Nice, Vienna, Milan, Frankfurt, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Valencia to Helsinki.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Milan to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 19 - 21).\n       |- The departure day of Helsinki is Day 11. The arrival day of Stuttgart is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Vienna, Milan, Helsinki].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Valencia, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Helsinki to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 19 - 21).\n         |- The departure day of Tallinn is Day 13. The arrival day of Stuttgart is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Vienna, Milan, Helsinki, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 19 - 21).\n           |- The departure day of Frankfurt is Day 16. The arrival day of Stuttgart is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Nice, Vienna, Milan, Helsinki, Tallinn, Frankfurt].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Frankfurt to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 19 - 21).\n             |- The departure day of Valencia is Day 19. The arrival day of Stuttgart is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Nice, Vienna, Milan, Helsinki, Tallinn, Frankfurt, Valencia].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Valencia to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Nice, Vienna, Milan, Helsinki, Tallinn, Frankfurt, Valencia, Stuttgart].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Vienna.\n**Day 2-6:** Visit Vienna for 5 days.\n**Day 6:** Fly from Vienna to Milan.\n**Day 6-8:** Visit Milan for 3 days.\n**Day 8:** Fly from Milan to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.\n**Day 19:** Fly from Valencia to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Barcelona**Lyon**Brussels**Riga**Berlin**Athens**Mykonos",
    "ground_truth_durations": "3**5**4**5**3**4**2**4",
    "num_cities": 8,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Brussels"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Barcelona",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. During day 10 and day 14, you have to attend a conference in Brussels. You want to spend 4 days in Lyon. You would like to meet your friends at Lyon between day 7 and day 10 to tour together. You would like to visit Barcelona for 5 days. You have to attend a workshop in Barcelona between day 3 and day 7. You would like to visit Mykonos for 4 days. You would like to visit Riga for 3 days. You want to spend 2 days in Athens. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 16 and day 19. You would like to visit Florence for 3 days.\n\nHere are the cities that have direct flights:\nFlorence and Brussels, Brussels and Berlin, Riga and Berlin, Berlin and Athens, Barcelona and Lyon, Barcelona and Berlin, Lyon and Brussels, Brussels and Athens, from Athens to Riga, Brussels and Riga, Barcelona and Brussels, Barcelona and Riga, Florence and Barcelona, Athens and Mykonos, Barcelona and Athens.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 5 days. During day 10 and day 14, you have to attend a conference in Brussels. You want to spend 4 days in Lyon. You would like to meet your friends at Lyon between day 7 and day 10 to tour together. You would like to visit Barcelona for 5 days. You have to attend a workshop in Barcelona between day 3 and day 7. You would like to visit Mykonos for 4 days. You would like to visit Riga for 3 days. You want to spend 2 days in Athens. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 16 and day 19. You would like to visit Florence for 3 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Brussels, from Brussels to Berlin, from Riga to Berlin, from Berlin to Athens, from Barcelona to Lyon, from Barcelona to Berlin, from Lyon to Brussels, from Brussels to Athens, from Athens to Riga, from Brussels to Riga, from Barcelona to Brussels, from Barcelona to Riga, from Florence to Barcelona, from Athens to Mykonos, from Barcelona to Athens.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 23 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Barcelona.\n**Day 3-7:** Visit Barcelona for 5 days.\n**Day 7:** Fly from Barcelona to Lyon.\n**Day 7-10:** Visit Lyon for 4 days.\n**Day 10:** Fly from Lyon to Brussels.\n**Day 10-14:** Visit Brussels for 5 days.\n**Day 14:** Fly from Brussels to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.\n**Day 19:** Fly from Berlin to Athens.\n**Day 19-20:** Visit Athens for 2 days.\n**Day 20:** Fly from Athens to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1198",
    "estimated_output_tokens": 2902,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Mykonos, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Florence, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 3 - 7.\n* City: Lyon, Fixed Schedule: Day 7 - 10.\n* City: Brussels, Fixed Schedule: Day 10 - 14.\n* City: Berlin, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Florence, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Riga, Athens, Florence] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 7).\n |- The departure day of Mykonos is Day 4. The arrival day of Barcelona is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 7).\n |- The departure day of Riga is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 7).\n |- The departure day of Athens is Day 2. The arrival day of Barcelona is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Florence] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 3 - 7).\n   |- The departure day of Mykonos is Day 5. The arrival day of Barcelona is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Athens to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 3 - 7).\n   |- The departure day of Riga is Day 4. The arrival day of Barcelona is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Athens to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 7).\n |- The departure day of Florence is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 10).\n   |- The departure day of Barcelona is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Barcelona].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Barcelona to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 10 - 14).\n     |- The departure day of Lyon is Day 10. The arrival day of Brussels is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Barcelona, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lyon to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 16 - 19).\n       |- The departure day of Brussels is Day 14. The arrival day of Berlin is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Florence, Barcelona, Lyon, Brussels].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Athens] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Brussels to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Berlin (Day 16 - 19).\n         |- The departure day of Riga is Day 16. The arrival day of Berlin is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Florence, Barcelona, Lyon, Brussels, Riga].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Riga to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Florence, Barcelona, Lyon, Brussels, Riga, Berlin].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Berlin to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Berlin to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Florence, Barcelona, Lyon, Brussels, Riga, Berlin, Athens].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Athens to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Florence, Barcelona, Lyon, Brussels, Riga, Berlin, Athens, Mykonos].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Barcelona.\n**Day 3-7:** Visit Barcelona for 5 days.\n**Day 7:** Fly from Barcelona to Lyon.\n**Day 7-10:** Visit Lyon for 4 days.\n**Day 10:** Fly from Lyon to Brussels.\n**Day 10-14:** Visit Brussels for 5 days.\n**Day 14:** Fly from Brussels to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Berlin.\n**Day 16-19:** Visit Berlin for 4 days.\n**Day 19:** Fly from Berlin to Athens.\n**Day 19-20:** Visit Athens for 2 days.\n**Day 20:** Fly from Athens to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Munich**Nice**Hamburg**Istanbul**Stuttgart**Milan**Reykjavik",
    "ground_truth_durations": "5**5**4**2**2**4**4**5",
    "num_cities": 8,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Warsaw",
        "Istanbul"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Munich",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. From day 1 to day 5, there is a annual show you want to attend in Warsaw. You would like to visit Munich for 5 days. You would like to meet your friends at Munich between day 5 and day 9 to tour together. You would like to visit Istanbul for 2 days. You want to spend 4 days in Stuttgart. During day 14 and day 17, you have to attend a conference in Stuttgart. You plan to stay in Milan for 4 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Hamburg for 2 days. You want to meet a friend in Hamburg between day 12 and day 13. You want to spend 4 days in Nice.\n\nHere are the cities that have direct flights:\nHamburg and Stuttgart, Warsaw and Milan, Warsaw and Istanbul, Munich and Nice, Munich and Istanbul, Milan and Reykjavik, Warsaw and Reykjavik, Warsaw and Hamburg, Munich and Milan, Warsaw and Munich, Nice and Istanbul, Istanbul and Milan, from Reykjavik to Stuttgart, Munich and Hamburg, Istanbul and Stuttgart, Warsaw and Stuttgart, Hamburg and Istanbul, Nice and Hamburg, Nice and Reykjavik, Warsaw and Nice, Hamburg and Milan, Stuttgart and Milan, Munich and Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 8 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. From day 1 to day 5, there is a annual show you want to attend in Warsaw. You would like to visit Munich for 5 days. You would like to meet your friends at Munich between day 5 and day 9 to tour together. You would like to visit Istanbul for 2 days. You want to spend 4 days in Stuttgart. During day 14 and day 17, you have to attend a conference in Stuttgart. You plan to stay in Milan for 4 days. You plan to stay in Reykjavik for 5 days. You plan to stay in Hamburg for 2 days. You want to meet a friend in Hamburg between day 12 and day 13. You want to spend 4 days in Nice.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Stuttgart, from Warsaw to Milan, from Warsaw to Istanbul, from Munich to Nice, from Munich to Istanbul, from Milan to Reykjavik, from Warsaw to Reykjavik, from Warsaw to Hamburg, from Munich to Milan, from Warsaw to Munich, from Nice to Istanbul, from Istanbul to Milan, from Reykjavik to Stuttgart, from Munich to Hamburg, from Istanbul to Stuttgart, from Warsaw to Stuttgart, from Hamburg to Istanbul, from Nice to Hamburg, from Nice to Reykjavik, from Warsaw to Nice, from Hamburg to Milan, from Stuttgart to Milan, from Munich to Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 8 European cities for 24 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Nice.\n**Day 9-12:** Visit Nice for 4 days.\n**Day 12:** Fly from Nice to Hamburg.\n**Day 12-13:** Visit Hamburg for 2 days.\n**Day 13:** Fly from Hamburg to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.\n**Day 14:** Fly from Istanbul to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Milan.\n**Day 17-20:** Visit Milan for 4 days.\n**Day 20:** Fly from Milan to Reykjavik.\n**Day 20-24:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_1199",
    "estimated_output_tokens": 2751,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Istanbul, Duration: 2 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Milan, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Nice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 5.\n* City: Munich, Fixed Schedule: Day 5 - 9.\n* City: Hamburg, Fixed Schedule: Day 12 - 13.\n* City: Stuttgart, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Nice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Warsaw is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 12 - 13).\n   |- The departure day of Munich is Day 9. The arrival day of Hamburg is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Warsaw, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Milan, Reykjavik, Nice] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Munich to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 12 - 13).\n     |- The departure day of Istanbul is Day 10. The arrival day of Hamburg is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Warsaw, Munich, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik, Nice] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 12 - 13).\n       |- The departure day of Milan is Day 13. The arrival day of Hamburg is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Istanbul to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 12 - 13).\n     |- The departure day of Milan is Day 12. The arrival day of Hamburg is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Warsaw, Munich, Milan].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Milan to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 12 - 13).\n     |- The departure day of Reykjavik is Day 13. The arrival day of Hamburg is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Nice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Munich to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 12 - 13).\n     |- The departure day of Nice is Day 12. The arrival day of Hamburg is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Warsaw, Munich, Nice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Nice to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 14 - 17).\n       |- The departure day of Hamburg is Day 13. The arrival day of Stuttgart is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Warsaw, Munich, Nice, Hamburg].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Milan, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Hamburg to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 14 - 17).\n         |- The departure day of Istanbul is Day 14. The arrival day of Stuttgart is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Warsaw, Munich, Nice, Hamburg, Istanbul].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Istanbul to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Munich, Nice, Hamburg, Istanbul, Stuttgart].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Milan from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Stuttgart to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Warsaw, Munich, Nice, Hamburg, Istanbul, Stuttgart, Milan].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Milan to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Warsaw, Munich, Nice, Hamburg, Istanbul, Stuttgart, Milan, Reykjavik].\n                |- All 8 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Nice.\n**Day 9-12:** Visit Nice for 4 days.\n**Day 12:** Fly from Nice to Hamburg.\n**Day 12-13:** Visit Hamburg for 2 days.\n**Day 13:** Fly from Hamburg to Istanbul.\n**Day 13-14:** Visit Istanbul for 2 days.\n**Day 14:** Fly from Istanbul to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Milan.\n**Day 17-20:** Visit Milan for 4 days.\n**Day 20:** Fly from Milan to Reykjavik.\n**Day 20-24:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Prague**Geneva**Mykonos**Vienna**Vilnius**Istanbul**Dublin**Tallinn",
    "ground_truth_durations": "5**5**5**4**5**5**3**3**4",
    "num_cities": 9,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 26,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Vienna",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 5 days. You plan to visit relatives in Frankfurt between day 1 and day 5. You plan to stay in Prague for 5 days. You want to spend 4 days in Mykonos. You would like to visit Istanbul for 3 days. You would like to visit Geneva for 5 days. You have to attend a workshop in Geneva between day 9 and day 13. You would like to visit Vienna for 5 days. You would like to visit Dublin for 3 days. From day 26 to day 28, there is a annual show you want to attend in Dublin. You plan to stay in Vilnius for 5 days. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Geneva, Frankfurt and Vienna, Frankfurt and Vilnius, Geneva and Mykonos, Prague and Dublin, Vienna and Istanbul, Vilnius and Istanbul, Frankfurt and Prague, Prague and Geneva, Prague and Vienna, Geneva and Vienna, Prague and Tallinn, Geneva and Dublin, Frankfurt and Tallinn, Istanbul and Dublin, Frankfurt and Istanbul, Mykonos and Vienna, Geneva and Istanbul, from Tallinn to Vilnius, Prague and Istanbul, Frankfurt and Dublin, from Istanbul to Tallinn, Dublin and Tallinn, Vienna and Vilnius, Vienna and Dublin.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 5 days. You plan to visit relatives in Frankfurt between day 1 and day 5. You plan to stay in Prague for 5 days. You want to spend 4 days in Mykonos. You would like to visit Istanbul for 3 days. You would like to visit Geneva for 5 days. You have to attend a workshop in Geneva between day 9 and day 13. You would like to visit Vienna for 5 days. You would like to visit Dublin for 3 days. From day 26 to day 28, there is a annual show you want to attend in Dublin. You plan to stay in Vilnius for 5 days. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Geneva, from Frankfurt to Vienna, from Frankfurt to Vilnius, from Geneva to Mykonos, from Prague to Dublin, from Vienna to Istanbul, from Vilnius to Istanbul, from Frankfurt to Prague, from Prague to Geneva, from Prague to Vienna, from Geneva to Vienna, from Prague to Tallinn, from Geneva to Dublin, from Frankfurt to Tallinn, from Istanbul to Dublin, from Frankfurt to Istanbul, from Mykonos to Vienna, from Geneva to Istanbul, from Tallinn to Vilnius, from Prague to Istanbul, from Frankfurt to Dublin, from Istanbul to Tallinn, from Dublin to Tallinn, from Vienna to Vilnius, from Vienna to Dublin.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 31 days:\n\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.\n**Day 16:** Fly from Mykonos to Vienna.\n**Day 16-20:** Visit Vienna for 5 days.\n**Day 20:** Fly from Vienna to Vilnius.\n**Day 20-24:** Visit Vilnius for 5 days.\n**Day 24:** Fly from Vilnius to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.\n**Day 26:** Fly from Istanbul to Dublin.\n**Day 26-28:** Visit Dublin for 3 days.\n**Day 28:** Fly from Dublin to Tallinn.\n**Day 28-31:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1200",
    "estimated_output_tokens": 2954,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Prague, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Vienna, Duration: 5 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 26 - 28.\n* City: Vilnius, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 5.\n* City: Geneva, Fixed Schedule: Day 9 - 13.\n* City: Dublin, Fixed Schedule: Day 26 - 28.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Mykonos, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n* City: Vienna, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 9 - 13).\n |- The departure day of Frankfurt is Day 5. The arrival day of Geneva is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Istanbul, Vienna, Vilnius, Tallinn] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Frankfurt to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 9 - 13).\n   |- The departure day of Prague is Day 9. The arrival day of Geneva is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Prague].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Geneva.\n     |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Prague to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 26 - 28).\n     |- The departure day of Geneva is Day 13. The arrival day of Dublin is Day 26. Day 13 is not later than (<=) Day 26. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Frankfurt, Prague, Geneva].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Istanbul, Vienna, Vilnius, Tallinn] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Geneva to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 26 - 28).\n       |- The departure day of Mykonos is Day 16. The arrival day of Dublin is Day 26. Day 16 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Frankfurt, Prague, Geneva, Mykonos].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Mykonos to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Mykonos to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dublin (Day 26 - 28).\n         |- The departure day of Vienna is Day 20. The arrival day of Dublin is Day 26. Day 20 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n           |- Check for direct flight from Vienna to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Dublin (Day 26 - 28).\n           |- The departure day of Istanbul is Day 22. The arrival day of Dublin is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Istanbul].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Istanbul to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Istanbul to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Dublin (Day 26 - 28).\n             |- The departure day of Tallinn is Day 25. The arrival day of Dublin is Day 26. Day 25 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Istanbul, Tallinn].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Tallinn to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Dublin (Day 26 - 28).\n               |- The departure day of Vilnius is Day 29. The arrival day of Dublin is Day 26. Day 29 is later than (>) Day 26. This arrangement is incompatible. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Dublin (Day 26 - 28).\n           |- The departure day of Vilnius is Day 24. The arrival day of Dublin is Day 26. Day 24 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 24. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Vilnius].\n            |- Check whether the city with an arrival day of Day 24 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n             |- Check for direct flight from Vilnius to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Dublin (Day 26 - 28).\n             |- The departure day of Istanbul is Day 26. The arrival day of Dublin is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Vilnius, Istanbul].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- Yes. The city with an arrival day of Day 26 - is fixed: Dublin.\n               |- Try arranging to visit Dublin from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n               |- Check for direct flight from Istanbul to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Vilnius, Istanbul, Dublin].\n                |- Check whether the city with an arrival day of Day 28 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 28. Duration: 4 days. Schedule: Day 28 - 31.\n                 |- Check for direct flight from Dublin to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Frankfurt, Prague, Geneva, Mykonos, Vienna, Vilnius, Istanbul, Dublin, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Geneva.\n**Day 9-13:** Visit Geneva for 5 days.\n**Day 13:** Fly from Geneva to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.\n**Day 16:** Fly from Mykonos to Vienna.\n**Day 16-20:** Visit Vienna for 5 days.\n**Day 20:** Fly from Vienna to Vilnius.\n**Day 20-24:** Visit Vilnius for 5 days.\n**Day 24:** Fly from Vilnius to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.\n**Day 26:** Fly from Istanbul to Dublin.\n**Day 26-28:** Visit Dublin for 3 days.\n**Day 28:** Fly from Dublin to Tallinn.\n**Day 28-31:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Barcelona**Budapest**Reykjavik**Berlin**Split**Vilnius**Brussels**Warsaw",
    "ground_truth_durations": "4**3**2**3**3**2**5**2**3",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Warsaw"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Barcelona",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You would like to visit Vilnius for 5 days. You want to spend 2 days in Brussels. You plan to visit relatives in Brussels between day 16 and day 17. You would like to visit Reykjavik for 3 days. You would like to visit Berlin for 3 days. You would like to visit Barcelona for 3 days. You plan to stay in Budapest for 2 days. You are going to attend a wedding in Budapest between day 6 and day 7. You want to spend 3 days in Warsaw. You would like to meet your friends at Warsaw between day 17 and day 19 to tour together. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nSplit and Warsaw, Berlin and Warsaw, Reykjavik and Warsaw, Barcelona and Brussels, Berlin and Brussels, Barcelona and Warsaw, Brussels and Warsaw, Berlin and Vilnius, Budapest and Warsaw, Vilnius and Warsaw, Berlin and Split, Reykjavik and Brussels, Vilnius and Brussels, Budapest and Reykjavik, Barcelona and Berlin, Seville and Barcelona, Barcelona and Split, Seville and Brussels, Budapest and Brussels, Barcelona and Reykjavik, Reykjavik and Berlin, Split and Vilnius, Budapest and Berlin, Barcelona and Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 4 days. You would like to visit Vilnius for 5 days. You want to spend 2 days in Brussels. You plan to visit relatives in Brussels between day 16 and day 17. You would like to visit Reykjavik for 3 days. You would like to visit Berlin for 3 days. You would like to visit Barcelona for 3 days. You plan to stay in Budapest for 2 days. You are going to attend a wedding in Budapest between day 6 and day 7. You want to spend 3 days in Warsaw. You would like to meet your friends at Warsaw between day 17 and day 19 to tour together. You would like to visit Split for 2 days.\n\nHere are the cities that have direct flights:\nfrom Split to Warsaw, from Berlin to Warsaw, from Reykjavik to Warsaw, from Barcelona to Brussels, from Berlin to Brussels, from Barcelona to Warsaw, from Brussels to Warsaw, from Berlin to Vilnius, from Budapest to Warsaw, from Vilnius to Warsaw, from Berlin to Split, from Reykjavik to Brussels, from Vilnius to Brussels, from Budapest to Reykjavik, from Barcelona to Berlin, from Seville to Barcelona, from Barcelona to Split, from Seville to Brussels, from Budapest to Brussels, from Barcelona to Reykjavik, from Reykjavik to Berlin, from Split to Vilnius, from Budapest to Berlin, from Barcelona to Budapest.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Barcelona.\n**Day 4-6:** Visit Barcelona for 3 days.\n**Day 6:** Fly from Barcelona to Budapest.\n**Day 6-7:** Visit Budapest for 2 days.\n**Day 7:** Fly from Budapest to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Split.\n**Day 11-12:** Visit Split for 2 days.\n**Day 12:** Fly from Split to Vilnius.\n**Day 12-16:** Visit Vilnius for 5 days.\n**Day 16:** Fly from Vilnius to Brussels.\n**Day 16-17:** Visit Brussels for 2 days.\n**Day 17:** Fly from Brussels to Warsaw.\n**Day 17-19:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1201",
    "estimated_output_tokens": 2873,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Reykjavik, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Barcelona, Duration: 3 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Split, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 6 - 7.\n* City: Brussels, Fixed Schedule: Day 16 - 17.\n* City: Warsaw, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Barcelona, Duration: 3 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Vilnius, Reykjavik, Berlin, Barcelona, Split] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 6 - 7).\n |- The departure day of Seville is Day 4. The arrival day of Budapest is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Reykjavik, Berlin, Barcelona, Split] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Seville to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 6 - 7).\n   |- The departure day of Barcelona is Day 6. The arrival day of Budapest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 16 - 17).\n     |- The departure day of Budapest is Day 7. The arrival day of Brussels is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Seville, Barcelona, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Reykjavik, Berlin, Split] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Budapest to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 16 - 17).\n       |- The departure day of Reykjavik is Day 9. The arrival day of Brussels is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Seville, Barcelona, Budapest, Reykjavik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Split] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Reykjavik to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 16 - 17).\n         |- The departure day of Berlin is Day 11. The arrival day of Brussels is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Split] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Berlin to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Brussels (Day 16 - 17).\n           |- The departure day of Vilnius is Day 15. The arrival day of Brussels is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin, Vilnius].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Vilnius to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Berlin to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Brussels (Day 16 - 17).\n           |- The departure day of Split is Day 12. The arrival day of Brussels is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin, Split].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Split to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 16 - 17).\n             |- The departure day of Vilnius is Day 16. The arrival day of Brussels is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin, Split, Vilnius].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Brussels.\n               |- Try arranging to visit Brussels from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Vilnius to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 17 - 19).\n               |- The departure day of Brussels is Day 17. The arrival day of Warsaw is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin, Split, Vilnius, Brussels].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Brussels to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Seville, Barcelona, Budapest, Reykjavik, Berlin, Split, Vilnius, Brussels, Warsaw].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Barcelona.\n**Day 4-6:** Visit Barcelona for 3 days.\n**Day 6:** Fly from Barcelona to Budapest.\n**Day 6-7:** Visit Budapest for 2 days.\n**Day 7:** Fly from Budapest to Reykjavik.\n**Day 7-9:** Visit Reykjavik for 3 days.\n**Day 9:** Fly from Reykjavik to Berlin.\n**Day 9-11:** Visit Berlin for 3 days.\n**Day 11:** Fly from Berlin to Split.\n**Day 11-12:** Visit Split for 2 days.\n**Day 12:** Fly from Split to Vilnius.\n**Day 12-16:** Visit Vilnius for 5 days.\n**Day 16:** Fly from Vilnius to Brussels.\n**Day 16-17:** Visit Brussels for 2 days.\n**Day 17:** Fly from Brussels to Warsaw.\n**Day 17-19:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Paris**London**Stockholm**Dubrovnik**Munich**Porto**Copenhagen**Santorini",
    "ground_truth_durations": "3**5**2**3**5**5**2**5**3",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Santorini"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Munich"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. During day 1 and day 3, you have to attend a conference in Zurich. You want to spend 5 days in Munich. You plan to stay in Porto for 2 days. You want to spend 5 days in Copenhagen. You plan to stay in Stockholm for 3 days. From day 8 to day 10, there is a annual show you want to attend in Stockholm. You want to spend 3 days in Santorini. You want to spend 2 days in London. You want to spend 5 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 10 and day 14. You would like to visit Paris for 5 days. You have to attend a workshop in Paris between day 3 and day 7.\n\nHere are the cities that have direct flights:\nZurich and Santorini, London and Munich, London and Santorini, from Stockholm to Santorini, Dubrovnik and Copenhagen, Zurich and Porto, Paris and London, Munich and Porto, Paris and Munich, Zurich and Stockholm, Paris and Copenhagen, Paris and Porto, Paris and Stockholm, London and Stockholm, Zurich and London, Stockholm and Copenhagen, Zurich and Dubrovnik, Munich and Copenhagen, Dubrovnik and Munich, Zurich and Paris, Porto and Copenhagen, Zurich and Copenhagen, Stockholm and Dubrovnik, Zurich and Munich, London and Copenhagen, Stockholm and Munich, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 3 days. During day 1 and day 3, you have to attend a conference in Zurich. You want to spend 5 days in Munich. You plan to stay in Porto for 2 days. You want to spend 5 days in Copenhagen. You plan to stay in Stockholm for 3 days. From day 8 to day 10, there is a annual show you want to attend in Stockholm. You want to spend 3 days in Santorini. You want to spend 2 days in London. You want to spend 5 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 10 and day 14. You would like to visit Paris for 5 days. You have to attend a workshop in Paris between day 3 and day 7.\n\nHere are the cities that have direct flights:\nfrom Zurich to Santorini, from London to Munich, from London to Santorini, from Stockholm to Santorini, from Dubrovnik to Copenhagen, from Zurich to Porto, from Paris to London, from Munich to Porto, from Paris to Munich, from Zurich to Stockholm, from Paris to Copenhagen, from Paris to Porto, from Paris to Stockholm, from London to Stockholm, from Zurich to London, from Stockholm to Copenhagen, from Zurich to Dubrovnik, from Munich to Copenhagen, from Dubrovnik to Munich, from Zurich to Paris, from Porto to Copenhagen, from Zurich to Copenhagen, from Stockholm to Dubrovnik, from Zurich to Munich, from London to Copenhagen, from Stockholm to Munich, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Porto.\n**Day 18-19:** Visit Porto for 2 days.\n**Day 19:** Fly from Porto to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1202",
    "estimated_output_tokens": 2697,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Munich, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 3.\n* City: Paris, Fixed Schedule: Day 3 - 7.\n* City: Stockholm, Fixed Schedule: Day 8 - 10.\n* City: Dubrovnik, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 7).\n |- The departure day of Zurich is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Zurich to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 8 - 10).\n   |- The departure day of Paris is Day 7. The arrival day of Stockholm is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Porto, Copenhagen, Santorini, London] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 10).\n     |- The departure day of Munich is Day 11. The arrival day of Stockholm is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 10).\n     |- The departure day of Porto is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Paris, Porto].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Porto to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 10).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Stockholm is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 10).\n     |- The departure day of London is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Paris, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 10 - 14).\n       |- The departure day of Stockholm is Day 10. The arrival day of Dubrovnik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Zurich, Paris, London, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Zurich, Paris, London, Stockholm, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Porto, Copenhagen, Santorini] and explore these options in order.\n           |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Dubrovnik to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Zurich, Paris, London, Stockholm, Dubrovnik, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Copenhagen, Santorini] and explore these options in order.\n             |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Munich to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Zurich, Paris, London, Stockholm, Dubrovnik, Munich, Porto].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini] and explore these options in order.\n               |- Try arranging to visit Copenhagen from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Porto to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Zurich, Paris, London, Stockholm, Dubrovnik, Munich, Porto, Copenhagen].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Copenhagen to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Zurich, Paris, London, Stockholm, Dubrovnik, Munich, Porto, Copenhagen, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to London.\n**Day 7-8:** Visit London for 2 days.\n**Day 8:** Fly from London to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Porto.\n**Day 18-19:** Visit Porto for 2 days.\n**Day 19:** Fly from Porto to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Hamburg**Nice**Budapest**Reykjavik**Zurich**Tallinn**Copenhagen**Frankfurt",
    "ground_truth_durations": "2**2**5**2**2**2**3**5**5",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Budapest"
      ],
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You are going to attend a wedding in Budapest between day 7 and day 8. You want to spend 5 days in Nice. You plan to stay in Tallinn for 3 days. You want to spend 2 days in Hamburg. You plan to stay in Bucharest for 2 days. During day 1 and day 2, you have to attend a conference in Bucharest. You would like to visit Reykjavik for 2 days. You plan to stay in Copenhagen for 5 days. You plan to visit relatives in Copenhagen between day 12 and day 16. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 16 and day 20. You want to spend 2 days in Zurich.\n\nHere are the cities that have direct flights:\nBudapest and Frankfurt, Reykjavik and Frankfurt, Bucharest and Hamburg, Tallinn and Copenhagen, Hamburg and Nice, Hamburg and Zurich, Bucharest and Zurich, Budapest and Copenhagen, Hamburg and Budapest, Nice and Copenhagen, Bucharest and Copenhagen, Reykjavik and Zurich, Nice and Budapest, Hamburg and Copenhagen, Bucharest and Budapest, Zurich and Frankfurt, Zurich and Tallinn, Zurich and Copenhagen, Hamburg and Frankfurt, Nice and Zurich, Budapest and Reykjavik, Copenhagen and Frankfurt, Tallinn and Frankfurt, Nice and Frankfurt, Bucharest and Frankfurt, Nice and Reykjavik, Budapest and Zurich, Reykjavik and Copenhagen.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 2 days. You are going to attend a wedding in Budapest between day 7 and day 8. You want to spend 5 days in Nice. You plan to stay in Tallinn for 3 days. You want to spend 2 days in Hamburg. You plan to stay in Bucharest for 2 days. During day 1 and day 2, you have to attend a conference in Bucharest. You would like to visit Reykjavik for 2 days. You plan to stay in Copenhagen for 5 days. You plan to visit relatives in Copenhagen between day 12 and day 16. You would like to visit Frankfurt for 5 days. You have to attend a workshop in Frankfurt between day 16 and day 20. You want to spend 2 days in Zurich.\n\nHere are the cities that have direct flights:\nfrom Budapest to Frankfurt, from Reykjavik to Frankfurt, from Bucharest to Hamburg, from Tallinn to Copenhagen, from Hamburg to Nice, from Hamburg to Zurich, from Bucharest to Zurich, from Budapest to Copenhagen, from Hamburg to Budapest, from Nice to Copenhagen, from Bucharest to Copenhagen, from Reykjavik to Zurich, from Nice to Budapest, from Hamburg to Copenhagen, from Bucharest to Budapest, from Zurich to Frankfurt, from Zurich to Tallinn, from Zurich to Copenhagen, from Hamburg to Frankfurt, from Nice to Zurich, from Budapest to Reykjavik, from Copenhagen to Frankfurt, from Tallinn to Frankfurt, from Nice to Frankfurt, from Bucharest to Frankfurt, from Nice to Reykjavik, from Budapest to Zurich, from Reykjavik to Copenhagen.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Hamburg.\n**Day 2-3:** Visit Hamburg for 2 days.\n**Day 3:** Fly from Hamburg to Nice.\n**Day 3-7:** Visit Nice for 5 days.\n**Day 7:** Fly from Nice to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Copenhagen.\n**Day 12-16:** Visit Copenhagen for 5 days.\n**Day 16:** Fly from Copenhagen to Frankfurt.\n**Day 16-20:** Visit Frankfurt for 5 days.",
    "id": "trip_planning_example_1203",
    "estimated_output_tokens": 2529,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Nice, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Zurich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Budapest, Fixed Schedule: Day 7 - 8.\n* City: Copenhagen, Fixed Schedule: Day 12 - 16.\n* City: Frankfurt, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 7 - 8).\n |- The departure day of Bucharest is Day 2. The arrival day of Budapest is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Tallinn, Hamburg, Reykjavik, Zurich] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 7 - 8).\n   |- The departure day of Hamburg is Day 3. The arrival day of Budapest is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Hamburg].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Tallinn, Reykjavik, Zurich] and explore these options in order.\n     |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Hamburg to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 7 - 8).\n     |- The departure day of Nice is Day 7. The arrival day of Budapest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Hamburg, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Nice to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 12 - 16).\n       |- The departure day of Budapest is Day 8. The arrival day of Copenhagen is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, Hamburg, Nice, Budapest].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Reykjavik, Zurich] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Budapest to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Budapest to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 12 - 16).\n         |- The departure day of Reykjavik is Day 9. The arrival day of Copenhagen is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Bucharest, Hamburg, Nice, Budapest, Reykjavik].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Reykjavik to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Reykjavik to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 12 - 16).\n           |- The departure day of Zurich is Day 10. The arrival day of Copenhagen is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Bucharest, Hamburg, Nice, Budapest, Reykjavik, Zurich].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n             |- Check for direct flight from Zurich to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 12 - 16).\n             |- The departure day of Tallinn is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Bucharest, Hamburg, Nice, Budapest, Reykjavik, Zurich, Tallinn].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from Tallinn to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 16 - 20).\n               |- The departure day of Copenhagen is Day 16. The arrival day of Frankfurt is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Bucharest, Hamburg, Nice, Budapest, Reykjavik, Zurich, Tallinn, Copenhagen].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n                 |- Check for direct flight from Copenhagen to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Bucharest, Hamburg, Nice, Budapest, Reykjavik, Zurich, Tallinn, Copenhagen, Frankfurt].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Hamburg.\n**Day 2-3:** Visit Hamburg for 2 days.\n**Day 3:** Fly from Hamburg to Nice.\n**Day 3-7:** Visit Nice for 5 days.\n**Day 7:** Fly from Nice to Budapest.\n**Day 7-8:** Visit Budapest for 2 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-9:** Visit Reykjavik for 2 days.\n**Day 9:** Fly from Reykjavik to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Tallinn.\n**Day 10-12:** Visit Tallinn for 3 days.\n**Day 12:** Fly from Tallinn to Copenhagen.\n**Day 12-16:** Visit Copenhagen for 5 days.\n**Day 16:** Fly from Copenhagen to Frankfurt.\n**Day 16-20:** Visit Frankfurt for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Copenhagen**Tallinn**Barcelona**Paris**Split**Vienna**Dubrovnik**Dublin",
    "ground_truth_durations": "3**4**2**5**5**2**4**5**3",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 23,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Dublin"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You want to meet a friend in Vilnius between day 1 and day 3. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 23 and day 25 to tour together. You plan to stay in Vienna for 4 days. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Tallinn. You are going to attend a wedding in Tallinn between day 6 and day 7. You plan to stay in Barcelona for 5 days. You would like to visit Split for 2 days. You want to spend 5 days in Paris. During day 11 and day 15, you have to attend a conference in Paris. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nParis and Dublin, Vilnius and Copenhagen, Copenhagen and Tallinn, Split and Vienna, Dubrovnik and Dublin, Barcelona and Dubrovnik, Vienna and Dubrovnik, Barcelona and Split, from Tallinn to Vilnius, Tallinn and Paris, Barcelona and Paris, Vilnius and Paris, Vienna and Dublin, Vilnius and Split, Copenhagen and Vienna, Paris and Vienna, Copenhagen and Dublin, Barcelona and Vienna, Copenhagen and Barcelona, Tallinn and Barcelona, Copenhagen and Split, Barcelona and Dublin, Paris and Split, Split and Dublin, Copenhagen and Dubrovnik, Vilnius and Vienna, Tallinn and Dublin, Copenhagen and Paris.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You want to meet a friend in Vilnius between day 1 and day 3. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 23 and day 25 to tour together. You plan to stay in Vienna for 4 days. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Tallinn. You are going to attend a wedding in Tallinn between day 6 and day 7. You plan to stay in Barcelona for 5 days. You would like to visit Split for 2 days. You want to spend 5 days in Paris. During day 11 and day 15, you have to attend a conference in Paris. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Dublin, from Vilnius to Copenhagen, from Copenhagen to Tallinn, from Split to Vienna, from Dubrovnik to Dublin, from Barcelona to Dubrovnik, from Vienna to Dubrovnik, from Barcelona to Split, from Tallinn to Vilnius, from Tallinn to Paris, from Barcelona to Paris, from Vilnius to Paris, from Vienna to Dublin, from Vilnius to Split, from Copenhagen to Vienna, from Paris to Vienna, from Copenhagen to Dublin, from Barcelona to Vienna, from Copenhagen to Barcelona, from Tallinn to Barcelona, from Copenhagen to Split, from Barcelona to Dublin, from Paris to Split, from Split to Dublin, from Copenhagen to Dubrovnik, from Vilnius to Vienna, from Tallinn to Dublin, from Copenhagen to Paris.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Copenhagen.\n**Day 3-6:** Visit Copenhagen for 4 days.\n**Day 6:** Fly from Copenhagen to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Barcelona.\n**Day 7-11:** Visit Barcelona for 5 days.\n**Day 11:** Fly from Barcelona to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.\n**Day 23:** Fly from Dubrovnik to Dublin.\n**Day 23-25:** Visit Dublin for 3 days.",
    "id": "trip_planning_example_1204",
    "estimated_output_tokens": 3861,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 23 - 25.\n* City: Vienna, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Barcelona, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Copenhagen, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Fixed Schedule: Day 6 - 7.\n* City: Paris, Fixed Schedule: Day 11 - 15.\n* City: Dublin, Fixed Schedule: Day 23 - 25.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Vilnius is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Barcelona, Split, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Vienna is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vilnius to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Split is Day 4. The arrival day of Tallinn is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vilnius, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Barcelona, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Split to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 7).\n     |- The departure day of Vienna is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Split to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 11 - 15).\n     |- The departure day of Tallinn is Day 7. The arrival day of Paris is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Copenhagen, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Barcelona, Split] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 15).\n       |- The departure day of Barcelona is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Barcelona to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dublin (Day 23 - 25).\n         |- The departure day of Paris is Day 15. The arrival day of Dublin is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Split] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Paris to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 23 - 25).\n           |- The departure day of Vienna is Day 18. The arrival day of Dublin is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Vienna].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Split] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Vienna to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dublin (Day 23 - 25).\n             |- The departure day of Dubrovnik is Day 22. The arrival day of Dublin is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Vienna, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Dubrovnik to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Vienna to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Paris to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Paris to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 23 - 25).\n           |- The departure day of Split is Day 16. The arrival day of Dublin is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Split].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Split to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dublin (Day 23 - 25).\n             |- The departure day of Vienna is Day 19. The arrival day of Dublin is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Split, Vienna].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Vienna to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dublin (Day 23 - 25).\n               |- The departure day of Dubrovnik is Day 23. The arrival day of Dublin is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Split, Vienna, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Dubrovnik to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Vilnius, Copenhagen, Tallinn, Barcelona, Paris, Split, Vienna, Dubrovnik, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Copenhagen.\n**Day 3-6:** Visit Copenhagen for 4 days.\n**Day 6:** Fly from Copenhagen to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Barcelona.\n**Day 7-11:** Visit Barcelona for 5 days.\n**Day 11:** Fly from Barcelona to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.\n**Day 23:** Fly from Dubrovnik to Dublin.\n**Day 23-25:** Visit Dublin for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Paris**Reykjavik**Nice**Vienna**Santorini**Zurich**Tallinn**Vilnius",
    "ground_truth_durations": "2**3**5**2**4**3**2**2**3",
    "num_cities": 9,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Reykjavik",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Zurich. You want to spend 3 days in Paris. You plan to visit relatives in Paris between day 2 and day 4. You would like to visit Nice for 2 days. You plan to stay in Vilnius for 3 days. You would like to visit Santorini for 3 days. You want to meet a friend in Santorini between day 12 and day 14. You want to spend 2 days in Naples. You have to attend a workshop in Naples between day 1 and day 2. You plan to stay in Reykjavik for 5 days. During day 4 and day 8, you have to attend a conference in Reykjavik. You want to spend 4 days in Vienna. You plan to stay in Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Santorini, Naples and Santorini, Paris and Vienna, Zurich and Vilnius, Naples and Vienna, Nice and Vienna, Reykjavik and Vienna, Naples and Paris, Zurich and Tallinn, Paris and Vilnius, Santorini and Zurich, Naples and Zurich, Paris and Nice, Vienna and Vilnius, Paris and Tallinn, Nice and Zurich, Paris and Reykjavik, Reykjavik and Zurich, Paris and Zurich, Vienna and Zurich, from Tallinn to Vilnius, Naples and Nice, Reykjavik and Nice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Zurich. You want to spend 3 days in Paris. You plan to visit relatives in Paris between day 2 and day 4. You would like to visit Nice for 2 days. You plan to stay in Vilnius for 3 days. You would like to visit Santorini for 3 days. You want to meet a friend in Santorini between day 12 and day 14. You want to spend 2 days in Naples. You have to attend a workshop in Naples between day 1 and day 2. You plan to stay in Reykjavik for 5 days. During day 4 and day 8, you have to attend a conference in Reykjavik. You want to spend 4 days in Vienna. You plan to stay in Tallinn for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Santorini, from Naples to Santorini, from Paris to Vienna, from Zurich to Vilnius, from Naples to Vienna, from Nice to Vienna, from Reykjavik to Vienna, from Naples to Paris, from Zurich to Tallinn, from Paris to Vilnius, from Santorini to Zurich, from Naples to Zurich, from Paris to Nice, from Vienna to Vilnius, from Paris to Tallinn, from Nice to Zurich, from Paris to Reykjavik, from Reykjavik to Zurich, from Paris to Zurich, from Vienna to Zurich, from Tallinn to Vilnius, from Naples to Nice, from Reykjavik to Nice.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 18 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Reykjavik.\n**Day 4-8:** Visit Reykjavik for 5 days.\n**Day 8:** Fly from Reykjavik to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Zurich.\n**Day 14-15:** Visit Zurich for 2 days.\n**Day 15:** Fly from Zurich to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1205",
    "estimated_output_tokens": 4840,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 2 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Nice, Duration: 2 days.\n* City: Vilnius, Duration: 3 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Vienna, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 2.\n* City: Paris, Fixed Schedule: Day 2 - 4.\n* City: Reykjavik, Fixed Schedule: Day 4 - 8.\n* City: Santorini, Fixed Schedule: Day 12 - 14.\n\nCities needing arrangement:\n* City: Zurich, Duration: 2 days.\n* City: Nice, Duration: 2 days.\n* City: Vilnius, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 4).\n |- The departure day of Naples is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 8).\n   |- The departure day of Paris is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 12 - 14).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Santorini is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Nice, Vilnius, Vienna, Tallinn] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Reykjavik to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 14).\n       |- The departure day of Zurich is Day 9. The arrival day of Santorini is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Paris, Reykjavik, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Vienna, Tallinn] and explore these options in order.\n         |- Try arranging to visit Nice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 12 - 14).\n         |- The departure day of Vilnius is Day 11. The arrival day of Santorini is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Naples, Paris, Reykjavik, Zurich, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Vienna, Tallinn] and explore these options in order.\n           |- Try arranging to visit Nice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Vilnius to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Vilnius to Vienna.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Vilnius to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 12 - 14).\n         |- The departure day of Tallinn is Day 10. The arrival day of Santorini is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Paris, Reykjavik, Zurich, Tallinn].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Vienna] and explore these options in order.\n           |- Try arranging to visit Nice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Tallinn to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 12 - 14).\n           |- The departure day of Vilnius is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Naples, Paris, Reykjavik, Zurich, Tallinn, Vilnius].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Vilnius to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vienna from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Tallinn to Vienna.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Reykjavik to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 14).\n       |- The departure day of Nice is Day 9. The arrival day of Santorini is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Paris, Reykjavik, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius, Vienna, Tallinn] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Nice to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 12 - 14).\n         |- The departure day of Zurich is Day 10. The arrival day of Santorini is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Paris, Reykjavik, Nice, Zurich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna, Tallinn] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Zurich to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 12 - 14).\n           |- The departure day of Vilnius is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Naples, Paris, Reykjavik, Nice, Zurich, Vilnius].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Vilnius to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vienna from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Zurich to Vienna.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Zurich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 12 - 14).\n           |- The departure day of Tallinn is Day 11. The arrival day of Santorini is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Naples, Paris, Reykjavik, Nice, Zurich, Tallinn].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Vienna] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Tallinn to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 12 - 14).\n             |- The departure day of Vilnius is Day 13. The arrival day of Santorini is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Tallinn to Vienna.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Nice to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 12 - 14).\n         |- The departure day of Vienna is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n           |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Vienna to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna, Santorini].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius, Tallinn] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Santorini to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna, Santorini, Zurich].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Zurich to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna, Santorini, Zurich, Vilnius].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Vilnius to Tallinn.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Zurich to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna, Santorini, Zurich, Tallinn].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n                 |- Check for direct flight from Tallinn to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Naples, Paris, Reykjavik, Nice, Vienna, Santorini, Zurich, Tallinn, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Reykjavik.\n**Day 4-8:** Visit Reykjavik for 5 days.\n**Day 8:** Fly from Reykjavik to Nice.\n**Day 8-9:** Visit Nice for 2 days.\n**Day 9:** Fly from Nice to Vienna.\n**Day 9-12:** Visit Vienna for 4 days.\n**Day 12:** Fly from Vienna to Santorini.\n**Day 12-14:** Visit Santorini for 3 days.\n**Day 14:** Fly from Santorini to Zurich.\n**Day 14-15:** Visit Zurich for 2 days.\n**Day 15:** Fly from Zurich to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Lyon**Prague**Helsinki**Geneva**Mykonos**Zurich**Berlin**Warsaw",
    "ground_truth_durations": "2**2**4**4**3**2**3**3**4",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Berlin"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Porto",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You want to meet a friend in Geneva between day 9 and day 11. You would like to visit Berlin for 3 days. You want to spend 2 days in Mykonos. You would like to visit Porto for 2 days. You plan to stay in Warsaw for 4 days. You would like to meet your friends at Warsaw between day 16 and day 19 to tour together. You plan to stay in Prague for 4 days. From day 3 to day 6, there is a annual show you want to attend in Prague. You would like to visit Helsinki for 4 days. You want to spend 2 days in Lyon. You plan to stay in Zurich for 3 days.\n\nHere are the cities that have direct flights:\nZurich and Berlin, Porto and Zurich, Berlin and Warsaw, Geneva and Berlin, Helsinki and Zurich, Prague and Zurich, Mykonos and Zurich, Prague and Warsaw, Lyon and Prague, Geneva and Zurich, Prague and Geneva, Helsinki and Berlin, Helsinki and Warsaw, Porto and Warsaw, Zurich and Warsaw, Prague and Helsinki, Helsinki and Geneva, Geneva and Mykonos, Porto and Lyon, Geneva and Warsaw, Porto and Geneva, Porto and Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 3 days. You want to meet a friend in Geneva between day 9 and day 11. You would like to visit Berlin for 3 days. You want to spend 2 days in Mykonos. You would like to visit Porto for 2 days. You plan to stay in Warsaw for 4 days. You would like to meet your friends at Warsaw between day 16 and day 19 to tour together. You plan to stay in Prague for 4 days. From day 3 to day 6, there is a annual show you want to attend in Prague. You would like to visit Helsinki for 4 days. You want to spend 2 days in Lyon. You plan to stay in Zurich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Berlin, from Porto to Zurich, from Berlin to Warsaw, from Geneva to Berlin, from Helsinki to Zurich, from Prague to Zurich, from Mykonos to Zurich, from Prague to Warsaw, from Lyon to Prague, from Geneva to Zurich, from Prague to Geneva, from Helsinki to Berlin, from Helsinki to Warsaw, from Porto to Warsaw, from Zurich to Warsaw, from Prague to Helsinki, from Helsinki to Geneva, from Geneva to Mykonos, from Porto to Lyon, from Geneva to Warsaw, from Porto to Geneva, from Porto to Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Prague.\n**Day 3-6:** Visit Prague for 4 days.\n**Day 6:** Fly from Prague to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Geneva.\n**Day 9-11:** Visit Geneva for 3 days.\n**Day 11:** Fly from Geneva to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Berlin.\n**Day 14-16:** Visit Berlin for 3 days.\n**Day 16:** Fly from Berlin to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.",
    "id": "trip_planning_example_1206",
    "estimated_output_tokens": 3703,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Berlin, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Helsinki, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Zurich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 3 - 6.\n* City: Geneva, Fixed Schedule: Day 9 - 11.\n* City: Warsaw, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Mykonos, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Zurich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Porto, Helsinki, Lyon, Zurich] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 6).\n |- The departure day of Berlin is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 6).\n |- The departure day of Mykonos is Day 2. The arrival day of Prague is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Porto, Helsinki, Lyon, Zurich] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 6).\n   |- The departure day of Zurich is Day 4. The arrival day of Prague is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 6).\n |- The departure day of Porto is Day 2. The arrival day of Prague is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Helsinki, Lyon, Zurich] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 6).\n   |- The departure day of Berlin is Day 4. The arrival day of Prague is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Porto to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 3 - 6).\n   |- The departure day of Lyon is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Porto, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Lyon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 9 - 11).\n     |- The departure day of Prague is Day 6. The arrival day of Geneva is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Lyon, Prague].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Helsinki, Zurich] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Prague to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Prague to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Prague to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 9 - 11).\n       |- The departure day of Helsinki is Day 9. The arrival day of Geneva is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Lyon, Prague, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Helsinki to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 16 - 19).\n         |- The departure day of Geneva is Day 11. The arrival day of Warsaw is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Zurich] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Geneva to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 16 - 19).\n           |- The departure day of Berlin is Day 13. The arrival day of Warsaw is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva, Berlin].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Berlin to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Berlin to Zurich.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Geneva to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 16 - 19).\n           |- The departure day of Mykonos is Day 12. The arrival day of Warsaw is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva, Mykonos].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Zurich] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Mykonos to Berlin.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Mykonos to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 16 - 19).\n             |- The departure day of Zurich is Day 14. The arrival day of Warsaw is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva, Mykonos, Zurich].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Zurich to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 16 - 19).\n               |- The departure day of Berlin is Day 16. The arrival day of Warsaw is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva, Mykonos, Zurich, Berlin].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Berlin to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Porto, Lyon, Prague, Helsinki, Geneva, Mykonos, Zurich, Berlin, Warsaw].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Prague.\n**Day 3-6:** Visit Prague for 4 days.\n**Day 6:** Fly from Prague to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Geneva.\n**Day 9-11:** Visit Geneva for 3 days.\n**Day 11:** Fly from Geneva to Mykonos.\n**Day 11-12:** Visit Mykonos for 2 days.\n**Day 12:** Fly from Mykonos to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Berlin.\n**Day 14-16:** Visit Berlin for 3 days.\n**Day 16:** Fly from Berlin to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Amsterdam**Frankfurt**Stuttgart**Hamburg**Lisbon**Valencia**Naples**Mykonos",
    "ground_truth_durations": "3**4**4**3**3**2**3**3**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 6 and day 9. You would like to visit Valencia for 3 days. You would like to visit Lisbon for 2 days. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 3 and day 6. You plan to stay in Hamburg for 3 days. You plan to stay in Mykonos for 3 days. You plan to stay in Stuttgart for 3 days. From day 9 to day 11, there is a annual show you want to attend in Stuttgart. You plan to stay in Naples for 3 days. You want to spend 3 days in Nice. You are going to attend a wedding in Nice between day 1 and day 3.\n\nHere are the cities that have direct flights:\nNice and Hamburg, Nice and Mykonos, Frankfurt and Lisbon, Stuttgart and Naples, Amsterdam and Hamburg, Amsterdam and Naples, Amsterdam and Valencia, Frankfurt and Naples, Valencia and Naples, Amsterdam and Mykonos, Amsterdam and Lisbon, Lisbon and Naples, Stuttgart and Lisbon, Stuttgart and Valencia, Amsterdam and Stuttgart, Hamburg and Lisbon, Lisbon and Valencia, Nice and Lisbon, Nice and Amsterdam, Frankfurt and Stuttgart, Naples and Mykonos, Nice and Frankfurt, Frankfurt and Valencia, Frankfurt and Hamburg, Nice and Naples, Stuttgart and Hamburg, Amsterdam and Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 6 and day 9. You would like to visit Valencia for 3 days. You would like to visit Lisbon for 2 days. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 3 and day 6. You plan to stay in Hamburg for 3 days. You plan to stay in Mykonos for 3 days. You plan to stay in Stuttgart for 3 days. From day 9 to day 11, there is a annual show you want to attend in Stuttgart. You plan to stay in Naples for 3 days. You want to spend 3 days in Nice. You are going to attend a wedding in Nice between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Nice to Hamburg, from Nice to Mykonos, from Frankfurt to Lisbon, from Stuttgart to Naples, from Amsterdam to Hamburg, from Amsterdam to Naples, from Amsterdam to Valencia, from Frankfurt to Naples, from Valencia to Naples, from Amsterdam to Mykonos, from Amsterdam to Lisbon, from Lisbon to Naples, from Stuttgart to Lisbon, from Stuttgart to Valencia, from Amsterdam to Stuttgart, from Hamburg to Lisbon, from Lisbon to Valencia, from Nice to Lisbon, from Nice to Amsterdam, from Frankfurt to Stuttgart, from Naples to Mykonos, from Nice to Frankfurt, from Frankfurt to Valencia, from Frankfurt to Hamburg, from Nice to Naples, from Stuttgart to Hamburg, from Amsterdam to Frankfurt.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Hamburg.\n**Day 11-13:** Visit Hamburg for 3 days.\n**Day 13:** Fly from Hamburg to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Naples.\n**Day 16-18:** Visit Naples for 3 days.\n**Day 18:** Fly from Naples to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1207",
    "estimated_output_tokens": 4644,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Valencia, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Hamburg, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Naples, Duration: 3 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 3 - 6.\n* City: Frankfurt, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Valencia, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Hamburg, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 3 - 6).\n |- The departure day of Nice is Day 3. The arrival day of Amsterdam is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 6 - 9).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Frankfurt is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Amsterdam to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 11).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Amsterdam, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Lisbon, Hamburg, Mykonos, Naples] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Stuttgart to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Valencia].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Mykonos, Naples] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Valencia to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Valencia, Naples].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Mykonos] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Naples to Lisbon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Naples to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Naples to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Valencia, Naples, Mykonos].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Mykonos to Lisbon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Mykonos to Hamburg.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Stuttgart to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Hamburg, Mykonos, Naples] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Lisbon to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Mykonos, Naples] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Valencia to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon, Valencia, Naples].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Mykonos] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Naples to Hamburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Naples to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon, Valencia, Naples, Mykonos].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Mykonos to Hamburg.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Lisbon to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Lisbon to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Lisbon to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon, Naples].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Hamburg, Mykonos] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Naples to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Naples to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Naples to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Lisbon, Naples, Mykonos].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Hamburg] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Mykonos to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Mykonos to Hamburg.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Stuttgart to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Lisbon, Mykonos, Naples] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Hamburg to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Hamburg to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Hamburg, Lisbon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Mykonos, Naples] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Lisbon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Hamburg, Lisbon, Valencia].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Naples] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Valencia to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Valencia to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Hamburg, Lisbon, Valencia, Naples].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Naples to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Nice, Amsterdam, Frankfurt, Stuttgart, Hamburg, Lisbon, Valencia, Naples, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Stuttgart.\n**Day 9-11:** Visit Stuttgart for 3 days.\n**Day 11:** Fly from Stuttgart to Hamburg.\n**Day 11-13:** Visit Hamburg for 3 days.\n**Day 13:** Fly from Hamburg to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Naples.\n**Day 16-18:** Visit Naples for 3 days.\n**Day 18:** Fly from Naples to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**London**Lyon**Venice**Stuttgart**Edinburgh**Nice**Warsaw**Vilnius",
    "ground_truth_durations": "3**3**3**3**4**2**4**4**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Nice"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Split",
        "London"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Split",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to visit Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 9 and day 12. You plan to stay in Lyon for 3 days. You plan to stay in Warsaw for 4 days. You want to spend 3 days in London. During day 3 and day 5, you have to attend a conference in London. You want to spend 2 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 12 and day 13. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 7 and day 9. You would like to visit Vilnius for 3 days. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nLondon and Nice, Venice and Nice, London and Venice, Edinburgh and Nice, Nice and Warsaw, London and Edinburgh, London and Warsaw, Split and Lyon, Venice and Stuttgart, Venice and Warsaw, Stuttgart and Warsaw, Warsaw and Vilnius, London and Stuttgart, Split and London, Stuttgart and Edinburgh, Lyon and Nice, Split and Vilnius, Lyon and Venice, London and Lyon, Split and Stuttgart, Venice and Edinburgh, Split and Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 4 days. You would like to visit Stuttgart for 4 days. You plan to visit relatives in Stuttgart between day 9 and day 12. You plan to stay in Lyon for 3 days. You plan to stay in Warsaw for 4 days. You want to spend 3 days in London. During day 3 and day 5, you have to attend a conference in London. You want to spend 2 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 12 and day 13. You would like to visit Venice for 3 days. You have to attend a workshop in Venice between day 7 and day 9. You would like to visit Vilnius for 3 days. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nfrom London to Nice, from Venice to Nice, from London to Venice, from Edinburgh to Nice, from Nice to Warsaw, from London to Edinburgh, from London to Warsaw, from Split to Lyon, from Venice to Stuttgart, from Venice to Warsaw, from Stuttgart to Warsaw, from Warsaw to Vilnius, from London to Stuttgart, from Split to London, from Stuttgart to Edinburgh, from Lyon to Nice, from Split to Vilnius, from Lyon to Venice, from London to Lyon, from Split to Stuttgart, from Venice to Edinburgh, from Split to Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Lyon.\n**Day 5-7:** Visit Lyon for 3 days.\n**Day 7:** Fly from Lyon to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Vilnius.\n**Day 19-21:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1208",
    "estimated_output_tokens": 2979,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Lyon, Duration: 3 days.\n* City: Warsaw, Duration: 4 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Vilnius, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Venice, Fixed Schedule: Day 7 - 9.\n* City: Stuttgart, Fixed Schedule: Day 9 - 12.\n* City: Edinburgh, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Nice, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n* City: Warsaw, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Lyon, Warsaw, Vilnius, Split] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Nice is Day 4. The arrival day of London is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Lyon is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Warsaw is Day 4. The arrival day of London is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Vilnius is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Split is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 7 - 9).\n   |- The departure day of London is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Lyon, Warsaw, Vilnius] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from London to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 9).\n     |- The departure day of Nice is Day 8. The arrival day of Venice is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from London to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 9).\n     |- The departure day of Lyon is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Split, London, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 9 - 12).\n       |- The departure day of Venice is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Split, London, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Venice to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 12 - 13).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Edinburgh is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Split, London, Lyon, Venice, Stuttgart].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Stuttgart to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Split, London, Lyon, Venice, Stuttgart, Edinburgh].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Vilnius] and explore these options in order.\n             |- Try arranging to visit Nice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Edinburgh to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Split, London, Lyon, Venice, Stuttgart, Edinburgh, Nice].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Nice to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Split, London, Lyon, Venice, Stuttgart, Edinburgh, Nice, Warsaw].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Warsaw to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Split, London, Lyon, Venice, Stuttgart, Edinburgh, Nice, Warsaw, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Lyon.\n**Day 5-7:** Visit Lyon for 3 days.\n**Day 7:** Fly from Lyon to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Nice.\n**Day 13-16:** Visit Nice for 4 days.\n**Day 16:** Fly from Nice to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Vilnius.\n**Day 19-21:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Dubrovnik**Rome**Paris**Tallinn**Warsaw**Hamburg**Porto**Lyon",
    "ground_truth_durations": "4**4**4**5**2**3**2**4**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Rome",
        "Paris"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Warsaw for 3 days. You have to attend a workshop in Warsaw between day 15 and day 17. You plan to stay in Dubrovnik for 4 days. During day 4 and day 7, you have to attend a conference in Dubrovnik. You want to spend 4 days in Porto. From day 18 to day 21, there is a annual show you want to attend in Porto. You plan to stay in Geneva for 4 days. You would like to visit Hamburg for 2 days. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Rome. You plan to visit relatives in Rome between day 7 and day 10. You want to spend 5 days in Paris.\n\nHere are the cities that have direct flights:\nWarsaw and Hamburg, Paris and Lyon, Paris and Tallinn, Geneva and Porto, Rome and Hamburg, Paris and Warsaw, Rome and Paris, Warsaw and Porto, Geneva and Paris, from Hamburg to Geneva, Geneva and Rome, Rome and Lyon, Rome and Warsaw, Tallinn and Warsaw, Hamburg and Porto, Porto and Lyon, Geneva and Warsaw, Paris and Hamburg, Paris and Porto, Geneva and Dubrovnik, Dubrovnik and Rome.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Warsaw for 3 days. You have to attend a workshop in Warsaw between day 15 and day 17. You plan to stay in Dubrovnik for 4 days. During day 4 and day 7, you have to attend a conference in Dubrovnik. You want to spend 4 days in Porto. From day 18 to day 21, there is a annual show you want to attend in Porto. You plan to stay in Geneva for 4 days. You would like to visit Hamburg for 2 days. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Rome. You plan to visit relatives in Rome between day 7 and day 10. You want to spend 5 days in Paris.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Hamburg, from Paris to Lyon, from Paris to Tallinn, from Geneva to Porto, from Rome to Hamburg, from Paris to Warsaw, from Rome to Paris, from Warsaw to Porto, from Geneva to Paris, from Hamburg to Geneva, from Geneva to Rome, from Rome to Lyon, from Rome to Warsaw, from Tallinn to Warsaw, from Hamburg to Porto, from Porto to Lyon, from Geneva to Warsaw, from Paris to Hamburg, from Paris to Porto, from Geneva to Dubrovnik, from Dubrovnik to Rome.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Paris.\n**Day 10-14:** Visit Paris for 5 days.\n**Day 14:** Fly from Paris to Tallinn.\n**Day 14-15:** Visit Tallinn for 2 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Hamburg.\n**Day 17-18:** Visit Hamburg for 2 days.\n**Day 18:** Fly from Hamburg to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_1209",
    "estimated_output_tokens": 3560,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 4 - 7.\n* City: Rome, Fixed Schedule: Day 7 - 10.\n* City: Warsaw, Fixed Schedule: Day 15 - 17.\n* City: Porto, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Geneva, Hamburg, Tallinn, Paris] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 7).\n |- The departure day of Lyon is Day 5. The arrival day of Dubrovnik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 7).\n |- The departure day of Geneva is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 7 - 10).\n   |- The departure day of Dubrovnik is Day 7. The arrival day of Rome is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dubrovnik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 15 - 17).\n     |- The departure day of Rome is Day 10. The arrival day of Warsaw is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Geneva, Dubrovnik, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Hamburg, Tallinn, Paris] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 17).\n       |- The departure day of Lyon is Day 14. The arrival day of Warsaw is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Dubrovnik, Rome, Lyon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Tallinn, Paris] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Lyon to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Lyon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lyon to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Rome to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 17).\n       |- The departure day of Hamburg is Day 11. The arrival day of Warsaw is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Dubrovnik, Rome, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Paris] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Rome to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 17).\n       |- The departure day of Paris is Day 14. The arrival day of Warsaw is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Dubrovnik, Rome, Paris].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Hamburg, Tallinn] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Paris to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 15 - 17).\n         |- The departure day of Lyon is Day 18. The arrival day of Warsaw is Day 15. Day 18 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Paris to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 15 - 17).\n         |- The departure day of Hamburg is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Dubrovnik, Rome, Paris, Hamburg].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Hamburg to Warsaw.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Paris to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 15 - 17).\n         |- The departure day of Tallinn is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Dubrovnik, Rome, Paris, Tallinn].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Tallinn to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Porto (Day 18 - 21).\n           |- The departure day of Warsaw is Day 17. The arrival day of Porto is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Geneva, Dubrovnik, Rome, Paris, Tallinn, Warsaw].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Hamburg] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Warsaw to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Warsaw to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 18 - 21).\n             |- The departure day of Hamburg is Day 18. The arrival day of Porto is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Geneva, Dubrovnik, Rome, Paris, Tallinn, Warsaw, Hamburg].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Hamburg to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Geneva, Dubrovnik, Rome, Paris, Tallinn, Warsaw, Hamburg, Porto].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Porto to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Geneva, Dubrovnik, Rome, Paris, Tallinn, Warsaw, Hamburg, Porto, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Dubrovnik.\n**Day 4-7:** Visit Dubrovnik for 4 days.\n**Day 7:** Fly from Dubrovnik to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Paris.\n**Day 10-14:** Visit Paris for 5 days.\n**Day 14:** Fly from Paris to Tallinn.\n**Day 14-15:** Visit Tallinn for 2 days.\n**Day 15:** Fly from Tallinn to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Hamburg.\n**Day 17-18:** Visit Hamburg for 2 days.\n**Day 18:** Fly from Hamburg to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Amsterdam**Prague**Tallinn**Brussels**Budapest**Geneva**Santorini**Dublin",
    "ground_truth_durations": "5**5**4**2**3**2**4**2**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 9,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Brussels",
        "Dublin"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Prague"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Prague",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Brussels. You would like to visit Tallinn for 2 days. You would like to visit Budapest for 2 days. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 1 and day 5. You would like to visit Amsterdam for 5 days. During day 5 and day 9, you have to attend a conference in Amsterdam. You would like to visit Dublin for 2 days. You would like to meet your friends at Dublin between day 20 and day 21 to tour together. You plan to stay in Geneva for 4 days. You plan to stay in Prague for 4 days. From day 9 to day 12, there is a annual show you want to attend in Prague.\n\nHere are the cities that have direct flights:\nBudapest and Geneva, Amsterdam and Santorini, Prague and Budapest, Tallinn and Brussels, Santorini and Dublin, Reykjavik and Dublin, Reykjavik and Budapest, Amsterdam and Budapest, Reykjavik and Amsterdam, Reykjavik and Brussels, Amsterdam and Tallinn, Prague and Dublin, Reykjavik and Prague, Tallinn and Dublin, Brussels and Geneva, Geneva and Dublin, Budapest and Dublin, Brussels and Dublin, Prague and Tallinn, Amsterdam and Prague, Amsterdam and Geneva, Amsterdam and Dublin, Geneva and Santorini, Prague and Brussels, Brussels and Budapest, Prague and Geneva.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Brussels. You would like to visit Tallinn for 2 days. You would like to visit Budapest for 2 days. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 1 and day 5. You would like to visit Amsterdam for 5 days. During day 5 and day 9, you have to attend a conference in Amsterdam. You would like to visit Dublin for 2 days. You would like to meet your friends at Dublin between day 20 and day 21 to tour together. You plan to stay in Geneva for 4 days. You plan to stay in Prague for 4 days. From day 9 to day 12, there is a annual show you want to attend in Prague.\n\nHere are the cities that have direct flights:\nfrom Budapest to Geneva, from Amsterdam to Santorini, from Prague to Budapest, from Tallinn to Brussels, from Santorini to Dublin, from Reykjavik to Dublin, from Reykjavik to Budapest, from Amsterdam to Budapest, from Reykjavik to Amsterdam, from Reykjavik to Brussels, from Amsterdam to Tallinn, from Prague to Dublin, from Reykjavik to Prague, from Tallinn to Dublin, from Brussels to Geneva, from Geneva to Dublin, from Budapest to Dublin, from Brussels to Dublin, from Prague to Tallinn, from Amsterdam to Prague, from Amsterdam to Geneva, from Amsterdam to Dublin, from Geneva to Santorini, from Prague to Brussels, from Brussels to Budapest, from Prague to Geneva.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Prague.\n**Day 9-12:** Visit Prague for 4 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Brussels.\n**Day 13-15:** Visit Brussels for 3 days.\n**Day 15:** Fly from Brussels to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Dublin.\n**Day 20-21:** Visit Dublin for 2 days.",
    "id": "trip_planning_example_1210",
    "estimated_output_tokens": 4361,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Budapest, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Geneva, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 5 - 9.\n* City: Prague, Fixed Schedule: Day 9 - 12.\n* City: Dublin, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Budapest, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Reykjavik is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Reykjavik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 9 - 12).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Prague is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Reykjavik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Amsterdam to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 20 - 21).\n     |- The departure day of Prague is Day 12. The arrival day of Dublin is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Amsterdam, Prague].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Brussels, Tallinn, Budapest, Geneva] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Prague to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 20 - 21).\n       |- The departure day of Brussels is Day 14. The arrival day of Dublin is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Amsterdam, Prague, Brussels].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Budapest, Geneva] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Brussels to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Brussels to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Brussels to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 20 - 21).\n         |- The departure day of Budapest is Day 15. The arrival day of Dublin is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Amsterdam, Prague, Brussels, Budapest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Budapest to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Budapest to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Budapest to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 20 - 21).\n           |- The departure day of Geneva is Day 18. The arrival day of Dublin is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Amsterdam, Prague, Brussels, Budapest, Geneva].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Geneva to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dublin (Day 20 - 21).\n             |- The departure day of Santorini is Day 19. The arrival day of Dublin is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Reykjavik, Amsterdam, Prague, Brussels, Budapest, Geneva, Santorini].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Santorini to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Geneva to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Brussels to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 20 - 21).\n         |- The departure day of Geneva is Day 17. The arrival day of Dublin is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Reykjavik, Amsterdam, Prague, Brussels, Geneva].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Tallinn, Budapest] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Geneva to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Dublin (Day 20 - 21).\n           |- The departure day of Santorini is Day 18. The arrival day of Dublin is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Reykjavik, Amsterdam, Prague, Brussels, Geneva, Santorini].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Santorini to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Budapest from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Santorini to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Geneva to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Geneva to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 20 - 21).\n       |- The departure day of Tallinn is Day 13. The arrival day of Dublin is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Brussels, Budapest, Geneva] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Tallinn to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Tallinn to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 20 - 21).\n         |- The departure day of Brussels is Day 15. The arrival day of Dublin is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn, Brussels].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Budapest, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Brussels to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Brussels to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 20 - 21).\n           |- The departure day of Budapest is Day 16. The arrival day of Dublin is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn, Brussels, Budapest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Budapest to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Budapest to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dublin (Day 20 - 21).\n             |- The departure day of Geneva is Day 19. The arrival day of Dublin is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn, Brussels, Budapest, Geneva].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Geneva to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dublin (Day 20 - 21).\n               |- The departure day of Santorini is Day 20. The arrival day of Dublin is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn, Brussels, Budapest, Geneva, Santorini].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Santorini to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Reykjavik, Amsterdam, Prague, Tallinn, Brussels, Budapest, Geneva, Santorini, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Prague.\n**Day 9-12:** Visit Prague for 4 days.\n**Day 12:** Fly from Prague to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Brussels.\n**Day 13-15:** Visit Brussels for 3 days.\n**Day 15:** Fly from Brussels to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Dublin.\n**Day 20-21:** Visit Dublin for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Copenhagen**Krakow**Stuttgart**Naples**Mykonos**Geneva**Paris**Seville",
    "ground_truth_durations": "3**5**2**5**3**4**2**2**2",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 14,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Manchester",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Manchester",
        "Naples"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Paris"
      ],
      [
        "Manchester",
        "Seville"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. During day 3 and day 7, you have to attend a conference in Copenhagen. You plan to stay in Paris for 2 days. You want to spend 2 days in Seville. You want to spend 2 days in Krakow. You would like to visit Geneva for 2 days. You want to spend 3 days in Naples. You have to attend a workshop in Naples between day 12 and day 14. You want to spend 5 days in Stuttgart. You plan to stay in Manchester for 3 days. You would like to meet your friends at Manchester between day 1 and day 3 to tour together. You plan to stay in Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 14 and day 17.\n\nHere are the cities that have direct flights:\nNaples and Mykonos, Manchester and Copenhagen, Geneva and Paris, Copenhagen and Naples, Paris and Seville, Manchester and Paris, Stuttgart and Paris, Manchester and Naples, Copenhagen and Krakow, Manchester and Stuttgart, Naples and Paris, Manchester and Geneva, Manchester and Krakow, Copenhagen and Paris, Manchester and Seville, Naples and Geneva, Stuttgart and Naples, Mykonos and Geneva, Copenhagen and Geneva, Krakow and Stuttgart, Copenhagen and Stuttgart, Krakow and Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. During day 3 and day 7, you have to attend a conference in Copenhagen. You plan to stay in Paris for 2 days. You want to spend 2 days in Seville. You want to spend 2 days in Krakow. You would like to visit Geneva for 2 days. You want to spend 3 days in Naples. You have to attend a workshop in Naples between day 12 and day 14. You want to spend 5 days in Stuttgart. You plan to stay in Manchester for 3 days. You would like to meet your friends at Manchester between day 1 and day 3 to tour together. You plan to stay in Mykonos for 4 days. You are going to attend a wedding in Mykonos between day 14 and day 17.\n\nHere are the cities that have direct flights:\nfrom Naples to Mykonos, from Manchester to Copenhagen, from Geneva to Paris, from Copenhagen to Naples, from Paris to Seville, from Manchester to Paris, from Stuttgart to Paris, from Manchester to Naples, from Copenhagen to Krakow, from Manchester to Stuttgart, from Naples to Paris, from Manchester to Geneva, from Manchester to Krakow, from Copenhagen to Paris, from Manchester to Seville, from Naples to Geneva, from Stuttgart to Naples, from Mykonos to Geneva, from Copenhagen to Geneva, from Krakow to Stuttgart, from Copenhagen to Stuttgart, from Krakow to Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Naples.\n**Day 12-14:** Visit Naples for 3 days.\n**Day 14:** Fly from Naples to Mykonos.\n**Day 14-17:** Visit Mykonos for 4 days.\n**Day 17:** Fly from Mykonos to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Paris.\n**Day 18-19:** Visit Paris for 2 days.\n**Day 19:** Fly from Paris to Seville.\n**Day 19-20:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1211",
    "estimated_output_tokens": 3762,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Paris, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Stuttgart, Duration: 5 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 3.\n* City: Copenhagen, Fixed Schedule: Day 3 - 7.\n* City: Naples, Fixed Schedule: Day 12 - 14.\n* City: Mykonos, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Seville, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 3 - 7).\n |- The departure day of Manchester is Day 3. The arrival day of Copenhagen is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 12 - 14).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Naples is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Manchester, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Seville, Krakow, Geneva, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Paris from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 12 - 14).\n     |- The departure day of Paris is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Copenhagen, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Krakow, Geneva, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Paris to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 14).\n       |- The departure day of Seville is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Manchester, Copenhagen, Paris, Seville].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Seville to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Seville to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Seville to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Paris to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Paris to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Paris to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 12 - 14).\n     |- The departure day of Krakow is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Copenhagen, Krakow].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Seville, Geneva, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Paris from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Krakow to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 14).\n       |- The departure day of Paris is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Manchester, Copenhagen, Krakow, Paris].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Geneva, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Paris to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 14).\n         |- The departure day of Seville is Day 10. The arrival day of Naples is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Manchester, Copenhagen, Krakow, Paris, Seville].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Seville to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Seville to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Paris to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Paris to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Krakow to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Krakow to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Krakow to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 14).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n         |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Stuttgart to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 14 - 17).\n         |- The departure day of Naples is Day 14. The arrival day of Mykonos is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart, Naples].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Naples to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart, Naples, Mykonos].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Paris, Seville, Geneva] and explore these options in order.\n             |- Try arranging to visit Paris from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Mykonos to Paris.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Mykonos to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Mykonos to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart, Naples, Mykonos, Geneva].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Paris, Seville] and explore these options in order.\n               |- Try arranging to visit Paris from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Geneva to Paris.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart, Naples, Mykonos, Geneva, Paris].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Paris to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Manchester, Copenhagen, Krakow, Stuttgart, Naples, Mykonos, Geneva, Paris, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Naples.\n**Day 12-14:** Visit Naples for 3 days.\n**Day 14:** Fly from Naples to Mykonos.\n**Day 14-17:** Visit Mykonos for 4 days.\n**Day 17:** Fly from Mykonos to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Paris.\n**Day 18-19:** Visit Paris for 2 days.\n**Day 19:** Fly from Paris to Seville.\n**Day 19-20:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Edinburgh**Budapest**London**Krakow**Vilnius**Helsinki**Munich**Lyon",
    "ground_truth_durations": "2**3**2**3**2**2**2**4**4",
    "num_cities": 9,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Helsinki",
        "Munich"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Budapest",
        "London"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 4 days. You plan to stay in Munich for 4 days. You want to meet a friend in Munich between day 10 and day 13. You plan to stay in London for 3 days. You are going to attend a wedding in London between day 5 and day 7. You would like to visit Budapest for 2 days. You plan to stay in Krakow for 2 days. You plan to stay in Riga for 2 days. You plan to stay in Helsinki for 2 days. You would like to visit Edinburgh for 3 days. You would like to visit Vilnius for 2 days. You have to attend a workshop in Vilnius between day 8 and day 9.\n\nHere are the cities that have direct flights:\nEdinburgh and Krakow, Krakow and Munich, Helsinki and Munich, Riga and Edinburgh, from Krakow to Vilnius, from Riga to Munich, London and Krakow, London and Helsinki, Edinburgh and Budapest, from Vilnius to Munich, Edinburgh and London, London and Lyon, Budapest and Munich, from Riga to Vilnius, Munich and Lyon, Budapest and London, Riga and Helsinki, Krakow and Helsinki, Edinburgh and Munich, Edinburgh and Helsinki, London and Munich, Budapest and Helsinki, Vilnius and Helsinki.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 16 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 4 days. You plan to stay in Munich for 4 days. You want to meet a friend in Munich between day 10 and day 13. You plan to stay in London for 3 days. You are going to attend a wedding in London between day 5 and day 7. You would like to visit Budapest for 2 days. You plan to stay in Krakow for 2 days. You plan to stay in Riga for 2 days. You plan to stay in Helsinki for 2 days. You would like to visit Edinburgh for 3 days. You would like to visit Vilnius for 2 days. You have to attend a workshop in Vilnius between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Krakow, from Krakow to Munich, from Helsinki to Munich, from Riga to Edinburgh, from Krakow to Vilnius, from Riga to Munich, from London to Krakow, from London to Helsinki, from Edinburgh to Budapest, from Vilnius to Munich, from Edinburgh to London, from London to Lyon, from Budapest to Munich, from Riga to Vilnius, from Munich to Lyon, from Budapest to London, from Riga to Helsinki, from Krakow to Helsinki, from Edinburgh to Munich, from Edinburgh to Helsinki, from London to Munich, from Budapest to Helsinki, from Vilnius to Helsinki.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 16 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_1212",
    "estimated_output_tokens": 5080,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: London, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Budapest, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 7.\n* City: Vilnius, Fixed Schedule: Day 8 - 9.\n* City: Munich, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Budapest, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Budapest, Krakow, Riga, Helsinki, Edinburgh] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 7).\n |- The departure day of Lyon is Day 4. The arrival day of London is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Krakow, Riga, Helsinki, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 7).\n |- The departure day of Budapest is Day 2. The arrival day of London is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Riga, Helsinki, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Budapest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Budapest to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Budapest to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Budapest to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 5 - 7).\n   |- The departure day of Helsinki is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Budapest, Helsinki].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Riga, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Helsinki to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Helsinki to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Budapest to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 7).\n |- The departure day of Krakow is Day 2. The arrival day of London is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest, Riga, Helsinki, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Krakow to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 5 - 7).\n   |- The departure day of Helsinki is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Krakow, Helsinki].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest, Riga, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Helsinki to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Helsinki to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 7).\n |- The departure day of Riga is Day 2. The arrival day of London is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest, Krakow, Helsinki, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 5 - 7).\n   |- The departure day of Helsinki is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Riga, Helsinki].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest, Krakow, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Helsinki to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Helsinki to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Helsinki to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 5 - 7).\n   |- The departure day of Edinburgh is Day 4. The arrival day of London is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest, Krakow, Helsinki] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Edinburgh to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 5 - 7).\n     |- The departure day of Budapest is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Riga, Edinburgh, Budapest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n       |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Budapest to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 8 - 9).\n       |- The departure day of London is Day 7. The arrival day of Vilnius is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Riga, Edinburgh, Budapest, London].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Helsinki] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from London to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n         |- The departure day of Lyon is Day 10. The arrival day of Vilnius is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from London to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n         |- The departure day of Krakow is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Riga, Edinburgh, Budapest, London, Krakow].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n           |- Check for direct flight from Krakow to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 10 - 13).\n           |- The departure day of Vilnius is Day 9. The arrival day of Munich is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Riga, Edinburgh, Budapest, London, Krakow, Vilnius].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Helsinki] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n             |- Check for direct flight from Vilnius to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n             |- Check for direct flight from Vilnius to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Munich (Day 10 - 13).\n             |- The departure day of Helsinki is Day 10. The arrival day of Munich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 10. Current plan: [Riga, Edinburgh, Budapest, London, Krakow, Vilnius, Helsinki].\n              |- Check whether the city with an arrival day of Day 10 - is fixed.\n              |- Yes. The city with an arrival day of Day 10 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n               |- Check for direct flight from Helsinki to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 13. Current plan: [Riga, Edinburgh, Budapest, London, Krakow, Vilnius, Helsinki, Munich].\n                |- Check whether the city with an arrival day of Day 13 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n                 |- Check for direct flight from Munich to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 16. Current plan: [Riga, Edinburgh, Budapest, London, Krakow, Vilnius, Helsinki, Munich, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Budapest.\n**Day 4-5:** Visit Budapest for 2 days.\n**Day 5:** Fly from Budapest to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Warsaw**Reykjavik**Rome**Valencia**Geneva**Manchester**Frankfurt**Salzburg",
    "ground_truth_durations": "4**3**2**5**5**5**2**4**5",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Warsaw",
        "Rome"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Rome",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 19 and day 20. You would like to visit Geneva for 5 days. During day 15 and day 19, you have to attend a conference in Geneva. You plan to stay in Salzburg for 5 days. You want to spend 4 days in Frankfurt. You have to attend a workshop in Frankfurt between day 20 and day 23. You plan to stay in Warsaw for 3 days. You would like to visit Reykjavik for 2 days. You would like to visit Rome for 5 days. You want to spend 5 days in Valencia. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nReykjavik and Rome, Warsaw and Valencia, Warsaw and Reykjavik, Vilnius and Warsaw, Rome and Valencia, Warsaw and Frankfurt, Geneva and Manchester, Valencia and Geneva, Geneva and Frankfurt, Valencia and Frankfurt, Vilnius and Frankfurt, Warsaw and Rome, Rome and Frankfurt, Rome and Geneva, Warsaw and Manchester, Warsaw and Geneva, Frankfurt and Salzburg, Manchester and Frankfurt, Reykjavik and Frankfurt, Rome and Manchester.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 2 days. You are going to attend a wedding in Manchester between day 19 and day 20. You would like to visit Geneva for 5 days. During day 15 and day 19, you have to attend a conference in Geneva. You plan to stay in Salzburg for 5 days. You want to spend 4 days in Frankfurt. You have to attend a workshop in Frankfurt between day 20 and day 23. You plan to stay in Warsaw for 3 days. You would like to visit Reykjavik for 2 days. You would like to visit Rome for 5 days. You want to spend 5 days in Valencia. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Rome, from Warsaw to Valencia, from Warsaw to Reykjavik, from Vilnius to Warsaw, from Rome to Valencia, from Warsaw to Frankfurt, from Geneva to Manchester, from Valencia to Geneva, from Geneva to Frankfurt, from Valencia to Frankfurt, from Vilnius to Frankfurt, from Warsaw to Rome, from Rome to Frankfurt, from Rome to Geneva, from Warsaw to Manchester, from Warsaw to Geneva, from Frankfurt to Salzburg, from Manchester to Frankfurt, from Reykjavik to Frankfurt, from Rome to Manchester.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Valencia.\n**Day 11-15:** Visit Valencia for 5 days.\n**Day 15:** Fly from Valencia to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.\n**Day 20:** Fly from Manchester to Frankfurt.\n**Day 20-23:** Visit Frankfurt for 4 days.\n**Day 23:** Fly from Frankfurt to Salzburg.\n**Day 23-27:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1213",
    "estimated_output_tokens": 7865,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Salzburg, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Warsaw, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 15 - 19.\n* City: Manchester, Fixed Schedule: Day 19 - 20.\n* City: Frankfurt, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 5 days.\n* City: Warsaw, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Reykjavik, Rome, Valencia, Vilnius] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Salzburg is Day 5. The arrival day of Geneva is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Reykjavik, Rome, Valencia, Vilnius] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Salzburg to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Warsaw is Day 3. The arrival day of Geneva is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Rome, Valencia, Vilnius] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Warsaw to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Warsaw to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 15 - 19).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Geneva is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Warsaw, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Rome, Valencia, Vilnius] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 15 - 19).\n     |- The departure day of Rome is Day 8. The arrival day of Geneva is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Warsaw, Reykjavik, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Vilnius] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Rome to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Rome to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 15 - 19).\n       |- The departure day of Valencia is Day 12. The arrival day of Geneva is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Warsaw, Reykjavik, Rome, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Vilnius] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Valencia to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Valencia to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Rome to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Warsaw to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 15 - 19).\n   |- The departure day of Rome is Day 7. The arrival day of Geneva is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Valencia, Vilnius] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 15 - 19).\n     |- The departure day of Valencia is Day 11. The arrival day of Geneva is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Rome, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Valencia to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Warsaw to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 15 - 19).\n   |- The departure day of Valencia is Day 7. The arrival day of Geneva is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Rome, Vilnius] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Valencia to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Warsaw to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Reykjavik is Day 2. The arrival day of Geneva is Day 15. Day 2 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Rome, Valencia, Vilnius] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Geneva (Day 15 - 19).\n   |- The departure day of Rome is Day 6. The arrival day of Geneva is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Valencia, Vilnius] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 15 - 19).\n     |- The departure day of Valencia is Day 10. The arrival day of Geneva is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Rome, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Vilnius] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Valencia to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Valencia to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Valencia to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Rome is Day 5. The arrival day of Geneva is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Reykjavik, Valencia, Vilnius] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Rome to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Rome to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Rome to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Rome to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 15 - 19).\n   |- The departure day of Valencia is Day 9. The arrival day of Geneva is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Rome, Valencia].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Reykjavik, Vilnius] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Valencia to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Valencia to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Valencia to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Valencia is Day 5. The arrival day of Geneva is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Reykjavik, Rome, Vilnius] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 15 - 19).\n |- The departure day of Vilnius is Day 4. The arrival day of Geneva is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Warsaw, Reykjavik, Rome, Valencia] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 15 - 19).\n   |- The departure day of Warsaw is Day 6. The arrival day of Geneva is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Rome, Valencia] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Warsaw to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Warsaw to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 15 - 19).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Geneva is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vilnius, Warsaw, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Rome, Valencia] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 15 - 19).\n       |- The departure day of Rome is Day 11. The arrival day of Geneva is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Warsaw, Reykjavik, Rome].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Rome to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Rome to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 15 - 19).\n         |- The departure day of Valencia is Day 15. The arrival day of Geneva is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vilnius, Warsaw, Reykjavik, Rome, Valencia].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Valencia to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 19 - 20).\n           |- The departure day of Geneva is Day 19. The arrival day of Manchester is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Vilnius, Warsaw, Reykjavik, Rome, Valencia, Geneva].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Manchester.\n             |- Try arranging to visit Manchester from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Geneva to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Frankfurt (Day 20 - 23).\n             |- The departure day of Manchester is Day 20. The arrival day of Frankfurt is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Vilnius, Warsaw, Reykjavik, Rome, Valencia, Geneva, Manchester].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Manchester to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Vilnius, Warsaw, Reykjavik, Rome, Valencia, Geneva, Manchester, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Vilnius, Warsaw, Reykjavik, Rome, Valencia, Geneva, Manchester, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Valencia.\n**Day 11-15:** Visit Valencia for 5 days.\n**Day 15:** Fly from Valencia to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.\n**Day 20:** Fly from Manchester to Frankfurt.\n**Day 20-23:** Visit Frankfurt for 4 days.\n**Day 23:** Fly from Frankfurt to Salzburg.\n**Day 23-27:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Rome**Bucharest**London**Krakow**Milan**Athens**Geneva**Stockholm",
    "ground_truth_durations": "4**2**3**5**3**4**5**2**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "London",
        "Geneva"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Munich",
        "Rome"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Munich",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. During day 21 and day 25, you have to attend a conference in Stockholm. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 13 and day 16. You want to spend 5 days in Athens. You want to spend 4 days in Munich. You would like to meet your friends at Munich between day 1 and day 4 to tour together. You would like to visit Rome for 2 days. You want to spend 2 days in Geneva. You want to spend 5 days in London. You want to spend 3 days in Krakow. You would like to visit Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7.\n\nHere are the cities that have direct flights:\nLondon and Geneva, Rome and Athens, Munich and Krakow, Munich and Athens, Krakow and Stockholm, Rome and Stockholm, Bucharest and London, Rome and Bucharest, Milan and Athens, Munich and Milan, London and Athens, Geneva and Stockholm, London and Stockholm, Munich and London, Munich and Bucharest, London and Milan, Krakow and Milan, Rome and London, London and Krakow, Munich and Geneva, Athens and Stockholm, Milan and Stockholm, Munich and Rome, Athens and Geneva, Rome and Geneva, Bucharest and Athens, Munich and Stockholm.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. During day 21 and day 25, you have to attend a conference in Stockholm. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 13 and day 16. You want to spend 5 days in Athens. You want to spend 4 days in Munich. You would like to meet your friends at Munich between day 1 and day 4 to tour together. You would like to visit Rome for 2 days. You want to spend 2 days in Geneva. You want to spend 5 days in London. You want to spend 3 days in Krakow. You would like to visit Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7.\n\nHere are the cities that have direct flights:\nfrom London to Geneva, from Rome to Athens, from Munich to Krakow, from Munich to Athens, from Krakow to Stockholm, from Rome to Stockholm, from Bucharest to London, from Rome to Bucharest, from Milan to Athens, from Munich to Milan, from London to Athens, from Geneva to Stockholm, from London to Stockholm, from Munich to London, from Munich to Bucharest, from London to Milan, from Krakow to Milan, from Rome to London, from London to Krakow, from Munich to Geneva, from Athens to Stockholm, from Milan to Stockholm, from Munich to Rome, from Athens to Geneva, from Rome to Geneva, from Bucharest to Athens, from Munich to Stockholm.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to London.\n**Day 7-11:** Visit London for 5 days.\n**Day 11:** Fly from London to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Milan.\n**Day 13-16:** Visit Milan for 4 days.\n**Day 16:** Fly from Milan to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.\n**Day 21:** Fly from Geneva to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.",
    "id": "trip_planning_example_1214",
    "estimated_output_tokens": 3502,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Athens, Duration: 5 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 4.\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Milan, Fixed Schedule: Day 13 - 16.\n* City: Stockholm, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Munich is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Rome, Geneva, London, Krakow] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n   |- The departure day of Athens is Day 8. The arrival day of Bucharest is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Munich to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n   |- The departure day of Rome is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 16).\n     |- The departure day of Bucharest is Day 7. The arrival day of Milan is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Rome, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Geneva, London, Krakow] and explore these options in order.\n       |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Bucharest to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 13 - 16).\n       |- The departure day of Athens is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Rome, Bucharest, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, London, Krakow] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Athens to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 16).\n         |- The departure day of Geneva is Day 12. The arrival day of Milan is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Rome, Bucharest, Athens, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Krakow] and explore these options in order.\n           |- Try arranging to visit London from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Geneva to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Geneva to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Bucharest to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Bucharest to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 13 - 16).\n       |- The departure day of London is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Rome, Bucharest, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Geneva, Krakow] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from London to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 16).\n         |- The departure day of Athens is Day 15. The arrival day of Milan is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Geneva from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from London to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 16).\n         |- The departure day of Geneva is Day 12. The arrival day of Milan is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Rome, Bucharest, London, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Krakow] and explore these options in order.\n           |- Try arranging to visit Athens from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Geneva to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Geneva to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from London to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 16).\n         |- The departure day of Krakow is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Rome, Bucharest, London, Krakow].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Krakow to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 21 - 25).\n           |- The departure day of Milan is Day 16. The arrival day of Stockholm is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Munich, Rome, Bucharest, London, Krakow, Milan].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Geneva] and explore these options in order.\n             |- Try arranging to visit Athens from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stockholm (Day 21 - 25).\n             |- The departure day of Athens is Day 20. The arrival day of Stockholm is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Munich, Rome, Bucharest, London, Krakow, Milan, Athens].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Athens to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Stockholm (Day 21 - 25).\n               |- The departure day of Geneva is Day 21. The arrival day of Stockholm is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Munich, Rome, Bucharest, London, Krakow, Milan, Athens, Geneva].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Geneva to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Munich, Rome, Bucharest, London, Krakow, Milan, Athens, Geneva, Stockholm].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to London.\n**Day 7-11:** Visit London for 5 days.\n**Day 11:** Fly from London to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Milan.\n**Day 13-16:** Visit Milan for 4 days.\n**Day 16:** Fly from Milan to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Geneva.\n**Day 20-21:** Visit Geneva for 2 days.\n**Day 21:** Fly from Geneva to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Berlin**Budapest**Vienna**Dubrovnik**Frankfurt**Lyon**Bucharest**Riga",
    "ground_truth_durations": "3**4**3**5**4**5**2**2**2",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 21,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 5 days. You want to spend 5 days in Vienna. You have to attend a workshop in Vienna between day 8 and day 12. You would like to visit Bucharest for 2 days. You plan to stay in Lyon for 2 days. You would like to visit Manchester for 3 days. You plan to stay in Budapest for 3 days. During day 6 and day 8, you have to attend a conference in Budapest. You would like to visit Berlin for 4 days. You plan to visit relatives in Berlin between day 3 and day 6. You plan to stay in Dubrovnik for 4 days. You want to spend 2 days in Riga. You want to meet a friend in Riga between day 21 and day 22.\n\nHere are the cities that have direct flights:\nDubrovnik and Frankfurt, Vienna and Bucharest, Vienna and Lyon, Berlin and Frankfurt, Manchester and Bucharest, Vienna and Frankfurt, Manchester and Dubrovnik, Berlin and Vienna, Frankfurt and Bucharest, Manchester and Riga, Budapest and Frankfurt, Bucharest and Riga, Vienna and Riga, Manchester and Budapest, Berlin and Budapest, Berlin and Riga, Manchester and Vienna, Manchester and Berlin, Lyon and Bucharest, Frankfurt and Lyon, Budapest and Bucharest, Manchester and Frankfurt, Budapest and Vienna, Vienna and Dubrovnik, Frankfurt and Riga.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 5 days. You want to spend 5 days in Vienna. You have to attend a workshop in Vienna between day 8 and day 12. You would like to visit Bucharest for 2 days. You plan to stay in Lyon for 2 days. You would like to visit Manchester for 3 days. You plan to stay in Budapest for 3 days. During day 6 and day 8, you have to attend a conference in Budapest. You would like to visit Berlin for 4 days. You plan to visit relatives in Berlin between day 3 and day 6. You plan to stay in Dubrovnik for 4 days. You want to spend 2 days in Riga. You want to meet a friend in Riga between day 21 and day 22.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Frankfurt, from Vienna to Bucharest, from Vienna to Lyon, from Berlin to Frankfurt, from Manchester to Bucharest, from Vienna to Frankfurt, from Manchester to Dubrovnik, from Berlin to Vienna, from Frankfurt to Bucharest, from Manchester to Riga, from Budapest to Frankfurt, from Bucharest to Riga, from Vienna to Riga, from Manchester to Budapest, from Berlin to Budapest, from Berlin to Riga, from Manchester to Vienna, from Manchester to Berlin, from Lyon to Bucharest, from Frankfurt to Lyon, from Budapest to Bucharest, from Manchester to Frankfurt, from Budapest to Vienna, from Vienna to Dubrovnik, from Frankfurt to Riga.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Budapest.\n**Day 6-8:** Visit Budapest for 3 days.\n**Day 8:** Fly from Budapest to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Lyon.\n**Day 19-20:** Visit Lyon for 2 days.\n**Day 20:** Fly from Lyon to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-22:** Visit Riga for 2 days.",
    "id": "trip_planning_example_1215",
    "estimated_output_tokens": 5833,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 5 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Dubrovnik, Duration: 4 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 6.\n* City: Budapest, Fixed Schedule: Day 6 - 8.\n* City: Vienna, Fixed Schedule: Day 8 - 12.\n* City: Riga, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest, Lyon, Manchester, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Frankfurt is Day 5. The arrival day of Berlin is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Bucharest is Day 2. The arrival day of Berlin is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon, Manchester, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Lyon is Day 2. The arrival day of Berlin is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest, Manchester, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 3 - 6).\n   |- The departure day of Bucharest is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Lyon, Bucharest].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Bucharest to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 6).\n |- The departure day of Manchester is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 6 - 8).\n   |- The departure day of Berlin is Day 6. The arrival day of Budapest is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Berlin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Berlin to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 8 - 12).\n     |- The departure day of Budapest is Day 8. The arrival day of Vienna is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Berlin, Budapest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Budapest to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 21 - 22).\n       |- The departure day of Vienna is Day 12. The arrival day of Riga is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Manchester, Berlin, Budapest, Vienna].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest, Lyon, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 22).\n         |- The departure day of Frankfurt is Day 16. The arrival day of Riga is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Manchester, Berlin, Budapest, Vienna, Frankfurt].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Frankfurt to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Riga (Day 21 - 22).\n           |- The departure day of Bucharest is Day 17. The arrival day of Riga is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Berlin, Budapest, Vienna, Frankfurt, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Bucharest to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Riga (Day 21 - 22).\n           |- The departure day of Lyon is Day 17. The arrival day of Riga is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Berlin, Budapest, Vienna, Frankfurt, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Lyon to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 21 - 22).\n             |- The departure day of Bucharest is Day 18. The arrival day of Riga is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Manchester, Berlin, Budapest, Vienna, Frankfurt, Lyon, Bucharest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Bucharest to Dubrovnik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vienna to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 22).\n         |- The departure day of Bucharest is Day 13. The arrival day of Riga is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Manchester, Berlin, Budapest, Vienna, Bucharest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Bucharest to Frankfurt.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Bucharest to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vienna to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 22).\n         |- The departure day of Lyon is Day 13. The arrival day of Riga is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Manchester, Berlin, Budapest, Vienna, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Lyon to Frankfurt.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 21 - 22).\n           |- The departure day of Bucharest is Day 14. The arrival day of Riga is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Manchester, Berlin, Budapest, Vienna, Lyon, Bucharest].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Bucharest to Frankfurt.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Bucharest to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Lyon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 22).\n         |- The departure day of Dubrovnik is Day 15. The arrival day of Riga is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Bucharest, Lyon] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Dubrovnik to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Riga (Day 21 - 22).\n           |- The departure day of Frankfurt is Day 19. The arrival day of Riga is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik, Frankfurt].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Frankfurt to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Riga (Day 21 - 22).\n             |- The departure day of Bucharest is Day 20. The arrival day of Riga is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik, Frankfurt, Bucharest].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Bucharest to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Frankfurt to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Riga (Day 21 - 22).\n             |- The departure day of Lyon is Day 20. The arrival day of Riga is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik, Frankfurt, Lyon].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Lyon to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Riga (Day 21 - 22).\n               |- The departure day of Bucharest is Day 21. The arrival day of Riga is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik, Frankfurt, Lyon, Bucharest].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Riga.\n                 |- Try arranging to visit Riga from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Bucharest to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Manchester, Berlin, Budapest, Vienna, Dubrovnik, Frankfurt, Lyon, Bucharest, Riga].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Berlin.\n**Day 3-6:** Visit Berlin for 4 days.\n**Day 6:** Fly from Berlin to Budapest.\n**Day 6-8:** Visit Budapest for 3 days.\n**Day 8:** Fly from Budapest to Vienna.\n**Day 8-12:** Visit Vienna for 5 days.\n**Day 12:** Fly from Vienna to Dubrovnik.\n**Day 12-15:** Visit Dubrovnik for 4 days.\n**Day 15:** Fly from Dubrovnik to Frankfurt.\n**Day 15-19:** Visit Frankfurt for 5 days.\n**Day 19:** Fly from Frankfurt to Lyon.\n**Day 19-20:** Visit Lyon for 2 days.\n**Day 20:** Fly from Lyon to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-22:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Milan**Seville**Valencia**Bucharest**Barcelona**Venice**Berlin**Salzburg",
    "ground_truth_durations": "3**5**3**3**3**5**4**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 7,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Berlin"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Milan",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to stay in Bucharest for 3 days. During day 11 and day 13, you have to attend a conference in Bucharest. You plan to stay in Split for 3 days. You plan to visit relatives in Split between day 1 and day 3. You want to spend 5 days in Milan. You would like to visit Salzburg for 2 days. You would like to visit Valencia for 3 days. You plan to stay in Berlin for 4 days. You would like to visit Barcelona for 5 days. You would like to meet your friends at Barcelona between day 13 and day 17 to tour together. You plan to stay in Seville for 3 days. You have to attend a workshop in Seville between day 7 and day 9.\n\nHere are the cities that have direct flights:\nMilan and Berlin, Split and Milan, Venice and Berlin, Valencia and Barcelona, Valencia and Berlin, Milan and Seville, Seville and Valencia, Milan and Barcelona, Bucharest and Barcelona, Seville and Barcelona, Split and Berlin, Berlin and Salzburg, Barcelona and Venice, Split and Barcelona, Barcelona and Berlin, Valencia and Bucharest, Milan and Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You plan to stay in Bucharest for 3 days. During day 11 and day 13, you have to attend a conference in Bucharest. You plan to stay in Split for 3 days. You plan to visit relatives in Split between day 1 and day 3. You want to spend 5 days in Milan. You would like to visit Salzburg for 2 days. You would like to visit Valencia for 3 days. You plan to stay in Berlin for 4 days. You would like to visit Barcelona for 5 days. You would like to meet your friends at Barcelona between day 13 and day 17 to tour together. You plan to stay in Seville for 3 days. You have to attend a workshop in Seville between day 7 and day 9.\n\nHere are the cities that have direct flights:\nfrom Milan to Berlin, from Split to Milan, from Venice to Berlin, from Valencia to Barcelona, from Valencia to Berlin, from Milan to Seville, from Seville to Valencia, from Milan to Barcelona, from Bucharest to Barcelona, from Seville to Barcelona, from Split to Berlin, from Berlin to Salzburg, from Barcelona to Venice, from Split to Barcelona, from Barcelona to Berlin, from Valencia to Bucharest, from Milan to Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Barcelona.\n**Day 13-17:** Visit Barcelona for 5 days.\n**Day 17:** Fly from Barcelona to Venice.\n**Day 17-20:** Visit Venice for 4 days.\n**Day 20:** Fly from Venice to Berlin.\n**Day 20-23:** Visit Berlin for 4 days.\n**Day 23:** Fly from Berlin to Salzburg.\n**Day 23-24:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1216",
    "estimated_output_tokens": 2372,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Milan, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n* City: Seville, Fixed Schedule: Day 7 - 9.\n* City: Bucharest, Fixed Schedule: Day 11 - 13.\n* City: Barcelona, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Milan, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 7 - 9).\n |- The departure day of Split is Day 3. The arrival day of Seville is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Salzburg, Valencia, Berlin] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 7 - 9).\n   |- The departure day of Milan is Day 7. The arrival day of Seville is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 11 - 13).\n     |- The departure day of Seville is Day 9. The arrival day of Bucharest is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Milan, Seville].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Salzburg, Valencia, Berlin] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Seville to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Seville to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Seville to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 11 - 13).\n       |- The departure day of Valencia is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Milan, Seville, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Barcelona (Day 13 - 17).\n         |- The departure day of Bucharest is Day 13. The arrival day of Barcelona is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Split, Milan, Seville, Valencia, Bucharest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Barcelona.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Bucharest to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Split, Milan, Seville, Valencia, Bucharest, Barcelona].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Salzburg, Berlin] and explore these options in order.\n             |- Try arranging to visit Venice from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Barcelona to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Split, Milan, Seville, Valencia, Bucharest, Barcelona, Venice].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Venice to Salzburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Berlin from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Venice to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Split, Milan, Seville, Valencia, Bucharest, Barcelona, Venice, Berlin].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Berlin to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Split, Milan, Seville, Valencia, Bucharest, Barcelona, Venice, Berlin, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Seville.\n**Day 7-9:** Visit Seville for 3 days.\n**Day 9:** Fly from Seville to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Bucharest.\n**Day 11-13:** Visit Bucharest for 3 days.\n**Day 13:** Fly from Bucharest to Barcelona.\n**Day 13-17:** Visit Barcelona for 5 days.\n**Day 17:** Fly from Barcelona to Venice.\n**Day 17-20:** Visit Venice for 4 days.\n**Day 20:** Fly from Venice to Berlin.\n**Day 20-23:** Visit Berlin for 4 days.\n**Day 23:** Fly from Berlin to Salzburg.\n**Day 23-24:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Madrid**Mykonos**Nice**Oslo**Hamburg**Stuttgart**Lisbon**Seville",
    "ground_truth_durations": "2**5**5**3**3**5**2**3**3",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You want to spend 3 days in Lisbon. You would like to visit Madrid for 5 days. You would like to visit Hamburg for 5 days. You would like to visit Seville for 3 days. From day 21 to day 23, there is a annual show you want to attend in Seville. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 6 and day 10. You plan to stay in Santorini for 2 days. You want to spend 2 days in Stuttgart. You would like to visit Nice for 3 days.\n\nHere are the cities that have direct flights:\nSantorini and Madrid, Hamburg and Lisbon, Nice and Oslo, Madrid and Hamburg, Lisbon and Seville, Oslo and Hamburg, Stuttgart and Lisbon, from Santorini to Oslo, Madrid and Nice, Nice and Hamburg, Oslo and Lisbon, Madrid and Lisbon, Nice and Lisbon, Madrid and Oslo, Mykonos and Nice, Madrid and Seville, Madrid and Mykonos, Hamburg and Stuttgart.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You want to spend 3 days in Lisbon. You would like to visit Madrid for 5 days. You would like to visit Hamburg for 5 days. You would like to visit Seville for 3 days. From day 21 to day 23, there is a annual show you want to attend in Seville. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 6 and day 10. You plan to stay in Santorini for 2 days. You want to spend 2 days in Stuttgart. You would like to visit Nice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Madrid, from Hamburg to Lisbon, from Nice to Oslo, from Madrid to Hamburg, from Lisbon to Seville, from Oslo to Hamburg, from Stuttgart to Lisbon, from Santorini to Oslo, from Madrid to Nice, from Nice to Hamburg, from Oslo to Lisbon, from Madrid to Lisbon, from Nice to Lisbon, from Madrid to Oslo, from Mykonos to Nice, from Madrid to Seville, from Madrid to Mykonos, from Hamburg to Stuttgart.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Madrid.\n**Day 2-6:** Visit Madrid for 5 days.\n**Day 6:** Fly from Madrid to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.\n**Day 18:** Fly from Hamburg to Stuttgart.\n**Day 18-19:** Visit Stuttgart for 2 days.\n**Day 19:** Fly from Stuttgart to Lisbon.\n**Day 19-21:** Visit Lisbon for 3 days.\n**Day 21:** Fly from Lisbon to Seville.\n**Day 21-23:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1217",
    "estimated_output_tokens": 6928,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Santorini, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 6 - 10.\n* City: Seville, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Madrid, Hamburg, Santorini, Stuttgart, Nice] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 6 - 10).\n |- The departure day of Oslo is Day 3. The arrival day of Mykonos is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Madrid, Hamburg, Santorini, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 6 - 10).\n   |- The departure day of Lisbon is Day 5. The arrival day of Mykonos is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Hamburg, Santorini, Stuttgart, Nice] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lisbon to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 6 - 10).\n   |- The departure day of Hamburg is Day 7. The arrival day of Mykonos is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 6 - 10).\n |- The departure day of Lisbon is Day 3. The arrival day of Mykonos is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Madrid, Hamburg, Santorini, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 6 - 10).\n |- The departure day of Madrid is Day 5. The arrival day of Mykonos is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Hamburg, Santorini, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Oslo is Day 7. The arrival day of Mykonos is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Lisbon is Day 7. The arrival day of Mykonos is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Madrid to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Hamburg is Day 9. The arrival day of Mykonos is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Nice is Day 7. The arrival day of Mykonos is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 6 - 10).\n |- The departure day of Hamburg is Day 5. The arrival day of Mykonos is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Madrid, Santorini, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Lisbon is Day 7. The arrival day of Mykonos is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 6 - 10).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Mykonos is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stuttgart to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 6 - 10).\n |- The departure day of Santorini is Day 2. The arrival day of Mykonos is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Madrid, Hamburg, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 6 - 10).\n   |- The departure day of Oslo is Day 4. The arrival day of Mykonos is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Madrid, Hamburg, Stuttgart, Nice] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 6 - 10).\n     |- The departure day of Lisbon is Day 6. The arrival day of Mykonos is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Santorini, Oslo, Lisbon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lisbon to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Oslo to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Oslo to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 6 - 10).\n     |- The departure day of Hamburg is Day 8. The arrival day of Mykonos is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Mykonos (Day 6 - 10).\n   |- The departure day of Madrid is Day 6. The arrival day of Mykonos is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 21 - 23).\n     |- The departure day of Mykonos is Day 10. The arrival day of Seville is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Madrid, Mykonos].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Hamburg, Stuttgart, Nice] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Mykonos to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Mykonos to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Mykonos to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Mykonos to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Mykonos to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 21 - 23).\n       |- The departure day of Nice is Day 12. The arrival day of Seville is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, Madrid, Mykonos, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Lisbon, Hamburg, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Nice to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 21 - 23).\n         |- The departure day of Oslo is Day 14. The arrival day of Seville is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 23).\n           |- The departure day of Lisbon is Day 16. The arrival day of Seville is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Lisbon].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Lisbon to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Lisbon to Stuttgart.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Oslo to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 23).\n           |- The departure day of Hamburg is Day 18. The arrival day of Seville is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Hamburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Hamburg to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 21 - 23).\n             |- The departure day of Lisbon is Day 20. The arrival day of Seville is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Hamburg, Lisbon].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Lisbon to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Hamburg to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 21 - 23).\n             |- The departure day of Stuttgart is Day 19. The arrival day of Seville is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Hamburg, Stuttgart].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Stuttgart to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Seville (Day 21 - 23).\n               |- The departure day of Lisbon is Day 21. The arrival day of Seville is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Hamburg, Stuttgart, Lisbon].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Seville.\n                 |- Try arranging to visit Seville from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Lisbon to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Santorini, Madrid, Mykonos, Nice, Oslo, Hamburg, Stuttgart, Lisbon, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Madrid.\n**Day 2-6:** Visit Madrid for 5 days.\n**Day 6:** Fly from Madrid to Mykonos.\n**Day 6-10:** Visit Mykonos for 5 days.\n**Day 10:** Fly from Mykonos to Nice.\n**Day 10-12:** Visit Nice for 3 days.\n**Day 12:** Fly from Nice to Oslo.\n**Day 12-14:** Visit Oslo for 3 days.\n**Day 14:** Fly from Oslo to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.\n**Day 18:** Fly from Hamburg to Stuttgart.\n**Day 18-19:** Visit Stuttgart for 2 days.\n**Day 19:** Fly from Stuttgart to Lisbon.\n**Day 19-21:** Visit Lisbon for 3 days.\n**Day 21:** Fly from Lisbon to Seville.\n**Day 21-23:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Copenhagen**Split**Hamburg**Lisbon**Reykjavik**Prague**Tallinn**Oslo",
    "ground_truth_durations": "5**3**5**4**5**4**2**4**5",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 14. You want to spend 5 days in Oslo. You plan to visit relatives in Oslo between day 25 and day 29. You plan to stay in Prague for 2 days. You would like to visit Split for 5 days. You want to spend 4 days in Tallinn. You plan to stay in Porto for 5 days. You want to meet a friend in Porto between day 1 and day 5. You want to spend 5 days in Lisbon. You want to spend 4 days in Reykjavik. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nPorto and Copenhagen, Porto and Lisbon, Copenhagen and Hamburg, Prague and Oslo, Copenhagen and Oslo, Lisbon and Reykjavik, Hamburg and Lisbon, Hamburg and Oslo, Lisbon and Oslo, Prague and Tallinn, Copenhagen and Lisbon, Split and Prague, Tallinn and Oslo, Copenhagen and Split, Porto and Oslo, Reykjavik and Oslo, Split and Oslo, Porto and Hamburg, Split and Hamburg, Copenhagen and Reykjavik, Lisbon and Prague, Copenhagen and Prague, Reykjavik and Prague, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You are going to attend a wedding in Hamburg between day 11 and day 14. You want to spend 5 days in Oslo. You plan to visit relatives in Oslo between day 25 and day 29. You plan to stay in Prague for 2 days. You would like to visit Split for 5 days. You want to spend 4 days in Tallinn. You plan to stay in Porto for 5 days. You want to meet a friend in Porto between day 1 and day 5. You want to spend 5 days in Lisbon. You want to spend 4 days in Reykjavik. You would like to visit Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Copenhagen, from Porto to Lisbon, from Copenhagen to Hamburg, from Prague to Oslo, from Copenhagen to Oslo, from Lisbon to Reykjavik, from Hamburg to Lisbon, from Hamburg to Oslo, from Lisbon to Oslo, from Prague to Tallinn, from Copenhagen to Lisbon, from Split to Prague, from Tallinn to Oslo, from Copenhagen to Split, from Porto to Oslo, from Reykjavik to Oslo, from Split to Oslo, from Porto to Hamburg, from Split to Hamburg, from Copenhagen to Reykjavik, from Lisbon to Prague, from Copenhagen to Prague, from Reykjavik to Prague, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Lisbon.\n**Day 14-18:** Visit Lisbon for 5 days.\n**Day 18:** Fly from Lisbon to Reykjavik.\n**Day 18-21:** Visit Reykjavik for 4 days.\n**Day 21:** Fly from Reykjavik to Prague.\n**Day 21-22:** Visit Prague for 2 days.\n**Day 22:** Fly from Prague to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.\n**Day 25:** Fly from Tallinn to Oslo.\n**Day 25-29:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_1218",
    "estimated_output_tokens": 4771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Prague, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 5.\n* City: Hamburg, Fixed Schedule: Day 11 - 14.\n* City: Oslo, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 11 - 14).\n |- The departure day of Porto is Day 5. The arrival day of Hamburg is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Split, Tallinn, Lisbon, Reykjavik, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Porto to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 11 - 14).\n   |- The departure day of Lisbon is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Split, Tallinn, Reykjavik, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Lisbon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 14).\n     |- The departure day of Prague is Day 10. The arrival day of Hamburg is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Lisbon, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Reykjavik, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 11 - 14).\n       |- The departure day of Tallinn is Day 13. The arrival day of Hamburg is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Lisbon to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Lisbon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Lisbon to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 14).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Hamburg is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Lisbon to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Porto to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 11 - 14).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Hamburg is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Split, Tallinn, Lisbon, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 14).\n     |- The departure day of Prague is Day 8. The arrival day of Hamburg is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Copenhagen, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Lisbon, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 11 - 14).\n       |- The departure day of Tallinn is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Copenhagen, Prague, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Tallinn to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 11 - 14).\n     |- The departure day of Split is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Copenhagen, Split].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Split to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 25 - 29).\n       |- The departure day of Hamburg is Day 14. The arrival day of Oslo is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Porto, Copenhagen, Split, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Tallinn, Lisbon, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Prague from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Hamburg to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Hamburg to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Oslo (Day 25 - 29).\n         |- The departure day of Lisbon is Day 18. The arrival day of Oslo is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Tallinn, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Prague from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Lisbon to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Oslo (Day 25 - 29).\n           |- The departure day of Prague is Day 19. The arrival day of Oslo is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Prague].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Prague to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Oslo (Day 25 - 29).\n             |- The departure day of Tallinn is Day 22. The arrival day of Oslo is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Prague, Tallinn].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Tallinn to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Prague to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Lisbon to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Lisbon to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Oslo (Day 25 - 29).\n           |- The departure day of Reykjavik is Day 21. The arrival day of Oslo is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Reykjavik].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague, Tallinn] and explore these options in order.\n             |- Try arranging to visit Prague from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Reykjavik to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Oslo (Day 25 - 29).\n             |- The departure day of Prague is Day 22. The arrival day of Oslo is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Reykjavik, Prague].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Prague to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Oslo (Day 25 - 29).\n               |- The departure day of Tallinn is Day 25. The arrival day of Oslo is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Reykjavik, Prague, Tallinn].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Oslo.\n                 |- Try arranging to visit Oslo from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Tallinn to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Porto, Copenhagen, Split, Hamburg, Lisbon, Reykjavik, Prague, Tallinn, Oslo].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Split.\n**Day 7-11:** Visit Split for 5 days.\n**Day 11:** Fly from Split to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Lisbon.\n**Day 14-18:** Visit Lisbon for 5 days.\n**Day 18:** Fly from Lisbon to Reykjavik.\n**Day 18-21:** Visit Reykjavik for 4 days.\n**Day 21:** Fly from Reykjavik to Prague.\n**Day 21-22:** Visit Prague for 2 days.\n**Day 22:** Fly from Prague to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.\n**Day 25:** Fly from Tallinn to Oslo.\n**Day 25-29:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Hamburg**Manchester**Warsaw**Krakow**Vilnius**Munich**Valencia**Stuttgart",
    "ground_truth_durations": "3**3**4**4**4**2**3**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Manchester",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 3 days. You have to attend a workshop in Hamburg between day 3 and day 5. You plan to stay in Manchester for 4 days. You plan to stay in Stuttgart for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 8 and day 11. You want to spend 4 days in Krakow. You want to spend 3 days in Munich. You want to spend 2 days in Vilnius. During day 14 and day 15, you have to attend a conference in Vilnius. You plan to stay in Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, Warsaw and Munich, Edinburgh and Hamburg, from Krakow to Vilnius, Manchester and Krakow, Manchester and Munich, Warsaw and Vilnius, Warsaw and Stuttgart, Hamburg and Manchester, Edinburgh and Stuttgart, Krakow and Stuttgart, Edinburgh and Munich, Warsaw and Valencia, Munich and Valencia, Hamburg and Munich, Manchester and Warsaw, Valencia and Stuttgart, Hamburg and Warsaw, Hamburg and Stuttgart, Krakow and Valencia, Krakow and Munich, Warsaw and Krakow, Edinburgh and Krakow, Manchester and Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 3 days. You have to attend a workshop in Hamburg between day 3 and day 5. You plan to stay in Manchester for 4 days. You plan to stay in Stuttgart for 4 days. You would like to visit Edinburgh for 3 days. You plan to stay in Warsaw for 4 days. You want to meet a friend in Warsaw between day 8 and day 11. You want to spend 4 days in Krakow. You want to spend 3 days in Munich. You want to spend 2 days in Vilnius. During day 14 and day 15, you have to attend a conference in Vilnius. You plan to stay in Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Munich, from Warsaw to Munich, from Edinburgh to Hamburg, from Krakow to Vilnius, from Manchester to Krakow, from Manchester to Munich, from Warsaw to Vilnius, from Warsaw to Stuttgart, from Hamburg to Manchester, from Edinburgh to Stuttgart, from Krakow to Stuttgart, from Edinburgh to Munich, from Warsaw to Valencia, from Munich to Valencia, from Hamburg to Munich, from Manchester to Warsaw, from Valencia to Stuttgart, from Hamburg to Warsaw, from Hamburg to Stuttgart, from Krakow to Valencia, from Krakow to Munich, from Warsaw to Krakow, from Edinburgh to Krakow, from Manchester to Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Warsaw.\n**Day 8-11:** Visit Warsaw for 4 days.\n**Day 11:** Fly from Warsaw to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n**Day 15:** Fly from Vilnius to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Stuttgart.\n**Day 19-22:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1219",
    "estimated_output_tokens": 2766,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Manchester, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Krakow, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Valencia, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 3 - 5.\n* City: Warsaw, Fixed Schedule: Day 8 - 11.\n* City: Vilnius, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Stuttgart, Edinburgh, Krakow, Munich, Valencia] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Manchester is Day 4. The arrival day of Hamburg is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Stuttgart is Day 4. The arrival day of Hamburg is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 3 - 5).\n |- The departure day of Edinburgh is Day 3. The arrival day of Hamburg is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Edinburgh to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 8 - 11).\n   |- The departure day of Hamburg is Day 5. The arrival day of Warsaw is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Stuttgart, Krakow, Munich, Valencia] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Hamburg to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 8 - 11).\n     |- The departure day of Manchester is Day 8. The arrival day of Warsaw is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Hamburg, Manchester].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Manchester to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 14 - 15).\n       |- The departure day of Warsaw is Day 11. The arrival day of Vilnius is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Krakow, Munich, Valencia] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Warsaw to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 14 - 15).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stuttgart to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Warsaw to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 14 - 15).\n         |- The departure day of Krakow is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Krakow].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Krakow to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Krakow, Vilnius].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Munich, Valencia] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Vilnius to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Vilnius to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Krakow, Vilnius, Munich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Munich to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Valencia from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Munich to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Krakow, Vilnius, Munich, Valencia].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Valencia to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Edinburgh, Hamburg, Manchester, Warsaw, Krakow, Vilnius, Munich, Valencia, Stuttgart].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Hamburg.\n**Day 3-5:** Visit Hamburg for 3 days.\n**Day 5:** Fly from Hamburg to Manchester.\n**Day 5-8:** Visit Manchester for 4 days.\n**Day 8:** Fly from Manchester to Warsaw.\n**Day 8-11:** Visit Warsaw for 4 days.\n**Day 11:** Fly from Warsaw to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Vilnius.\n**Day 14-15:** Visit Vilnius for 2 days.\n**Day 15:** Fly from Vilnius to Munich.\n**Day 15-17:** Visit Munich for 3 days.\n**Day 17:** Fly from Munich to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Stuttgart.\n**Day 19-22:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Paris**Venice**Madrid**Stockholm**Dubrovnik**Naples**Dublin**Tallinn",
    "ground_truth_durations": "5**3**2**2**2**3**4**4**4",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Naples",
        "Dublin"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Paris",
        "Dublin"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Paris",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 2 days. You would like to visit Venice for 2 days. You plan to visit relatives in Venice between day 7 and day 8. You would like to visit Madrid for 2 days. You would like to visit Vilnius for 5 days. You would like to visit Dublin for 4 days. You plan to stay in Naples for 4 days. You are going to attend a wedding in Naples between day 12 and day 15. You want to spend 4 days in Tallinn. You have to attend a workshop in Tallinn between day 18 and day 21. You want to spend 3 days in Paris. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, Naples and Dublin, Paris and Naples, Paris and Dublin, Madrid and Dubrovnik, Paris and Madrid, Dubrovnik and Naples, Stockholm and Tallinn, Dublin and Tallinn, Stockholm and Dublin, Venice and Naples, Paris and Stockholm, Dubrovnik and Dublin, Stockholm and Dubrovnik, Paris and Venice, Venice and Dublin, Venice and Madrid, Madrid and Stockholm, Madrid and Dublin, Vilnius and Paris, Madrid and Naples, Paris and Tallinn.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stockholm for 2 days. You would like to visit Venice for 2 days. You plan to visit relatives in Venice between day 7 and day 8. You would like to visit Madrid for 2 days. You would like to visit Vilnius for 5 days. You would like to visit Dublin for 4 days. You plan to stay in Naples for 4 days. You are going to attend a wedding in Naples between day 12 and day 15. You want to spend 4 days in Tallinn. You have to attend a workshop in Tallinn between day 18 and day 21. You want to spend 3 days in Paris. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, from Naples to Dublin, from Paris to Naples, from Paris to Dublin, from Madrid to Dubrovnik, from Paris to Madrid, from Dubrovnik to Naples, from Stockholm to Tallinn, from Dublin to Tallinn, from Stockholm to Dublin, from Venice to Naples, from Paris to Stockholm, from Dubrovnik to Dublin, from Stockholm to Dubrovnik, from Paris to Venice, from Venice to Dublin, from Venice to Madrid, from Madrid to Stockholm, from Madrid to Dublin, from Vilnius to Paris, from Madrid to Naples, from Paris to Tallinn.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Stockholm.\n**Day 9-10:** Visit Stockholm for 2 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-15:** Visit Naples for 4 days.\n**Day 15:** Fly from Naples to Dublin.\n**Day 15-18:** Visit Dublin for 4 days.\n**Day 18:** Fly from Dublin to Tallinn.\n**Day 18-21:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1220",
    "estimated_output_tokens": 6474,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 2 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Madrid, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Paris, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 7 - 8.\n* City: Naples, Fixed Schedule: Day 12 - 15.\n* City: Tallinn, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n* City: Paris, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Madrid, Vilnius, Dublin, Paris, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Stockholm is Day 2. The arrival day of Venice is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Vilnius, Dublin, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stockholm to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of Dublin is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Vilnius, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Dublin to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Venice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Vilnius, Dublin, Paris] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dubrovnik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Dubrovnik to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 8).\n     |- The departure day of Dublin is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Dubrovnik, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Dubrovnik to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Madrid is Day 2. The arrival day of Venice is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Vilnius, Dublin, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of Stockholm is Day 3. The arrival day of Venice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Madrid, Stockholm].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Dublin, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Stockholm to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Stockholm to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 7 - 8).\n     |- The departure day of Dublin is Day 6. The arrival day of Venice is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Madrid, Stockholm, Dublin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Dublin to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Dublin to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Dublin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stockholm to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 7 - 8).\n     |- The departure day of Dubrovnik is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Madrid, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Dublin, Paris] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Dubrovnik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Dubrovnik to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 8).\n       |- The departure day of Dublin is Day 8. The arrival day of Venice is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of Dublin is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Vilnius, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Dublin to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 7 - 8).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Venice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Vilnius, Dublin, Paris] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Dubrovnik to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dubrovnik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Dubrovnik to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 8).\n     |- The departure day of Dublin is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Dubrovnik, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Dubrovnik to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Vilnius is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Madrid, Dublin, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vilnius to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 8).\n   |- The departure day of Paris is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 12 - 15).\n     |- The departure day of Venice is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Madrid, Dublin, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 15).\n       |- The departure day of Madrid is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vilnius, Paris, Venice, Madrid].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Dublin, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Madrid to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 15).\n         |- The departure day of Stockholm is Day 10. The arrival day of Naples is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Vilnius, Paris, Venice, Madrid, Stockholm].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Stockholm to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 12 - 15).\n           |- The departure day of Dublin is Day 13. The arrival day of Naples is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Stockholm to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 12 - 15).\n           |- The departure day of Dubrovnik is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Vilnius, Paris, Venice, Madrid, Stockholm, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Dubrovnik to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 18 - 21).\n             |- The departure day of Naples is Day 15. The arrival day of Tallinn is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Vilnius, Paris, Venice, Madrid, Stockholm, Dubrovnik, Naples].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dublin] and explore these options in order.\n               |- Try arranging to visit Dublin from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Naples to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 18 - 21).\n               |- The departure day of Dublin is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Vilnius, Paris, Venice, Madrid, Stockholm, Dubrovnik, Naples, Dublin].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Dublin to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Vilnius, Paris, Venice, Madrid, Stockholm, Dubrovnik, Naples, Dublin, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Stockholm.\n**Day 9-10:** Visit Stockholm for 2 days.\n**Day 10:** Fly from Stockholm to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-15:** Visit Naples for 4 days.\n**Day 15:** Fly from Naples to Dublin.\n**Day 15-18:** Visit Dublin for 4 days.\n**Day 18:** Fly from Dublin to Tallinn.\n**Day 18-21:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Athens**Milan**Istanbul**Prague**Bucharest**Barcelona**Dubrovnik**Geneva",
    "ground_truth_durations": "2**5**2**5**3**5**2**3**3",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Athens",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. From day 6 to day 7, there is a annual show you want to attend in Milan. You would like to visit Santorini for 2 days. You want to spend 3 days in Prague. During day 11 and day 13, you have to attend a conference in Prague. You want to spend 3 days in Geneva. You want to spend 2 days in Barcelona. You would like to visit Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 18 and day 20 to tour together. You plan to stay in Bucharest for 5 days. You would like to visit Athens for 5 days. You want to meet a friend in Athens between day 2 and day 6. You plan to stay in Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nBarcelona and Dubrovnik, Istanbul and Geneva, Santorini and Bucharest, Prague and Barcelona, Milan and Prague, Bucharest and Barcelona, Istanbul and Prague, Athens and Bucharest, Santorini and Geneva, Milan and Istanbul, Dubrovnik and Geneva, Athens and Prague, Santorini and Barcelona, Athens and Istanbul, Prague and Geneva, Istanbul and Bucharest, Milan and Barcelona, Athens and Barcelona, Istanbul and Barcelona, Athens and Geneva, Barcelona and Geneva, Athens and Milan, from Dubrovnik to Istanbul, Prague and Bucharest, Santorini and Milan, Santorini and Athens, Athens and Dubrovnik.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 2 days. From day 6 to day 7, there is a annual show you want to attend in Milan. You would like to visit Santorini for 2 days. You want to spend 3 days in Prague. During day 11 and day 13, you have to attend a conference in Prague. You want to spend 3 days in Geneva. You want to spend 2 days in Barcelona. You would like to visit Dubrovnik for 3 days. You would like to meet your friends at Dubrovnik between day 18 and day 20 to tour together. You plan to stay in Bucharest for 5 days. You would like to visit Athens for 5 days. You want to meet a friend in Athens between day 2 and day 6. You plan to stay in Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Dubrovnik, from Istanbul to Geneva, from Santorini to Bucharest, from Prague to Barcelona, from Milan to Prague, from Bucharest to Barcelona, from Istanbul to Prague, from Athens to Bucharest, from Santorini to Geneva, from Milan to Istanbul, from Dubrovnik to Geneva, from Athens to Prague, from Santorini to Barcelona, from Athens to Istanbul, from Prague to Geneva, from Istanbul to Bucharest, from Milan to Barcelona, from Athens to Barcelona, from Istanbul to Barcelona, from Athens to Geneva, from Barcelona to Geneva, from Athens to Milan, from Dubrovnik to Istanbul, from Prague to Bucharest, from Santorini to Milan, from Santorini to Athens, from Athens to Dubrovnik.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Athens.\n**Day 2-6:** Visit Athens for 5 days.\n**Day 6:** Fly from Athens to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Prague.\n**Day 11-13:** Visit Prague for 3 days.\n**Day 13:** Fly from Prague to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Barcelona.\n**Day 17-18:** Visit Barcelona for 2 days.\n**Day 18:** Fly from Barcelona to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-22:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_1221",
    "estimated_output_tokens": 3908,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Santorini, Duration: 2 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Geneva, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Bucharest, Duration: 5 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 2 - 6.\n* City: Milan, Fixed Schedule: Day 6 - 7.\n* City: Prague, Fixed Schedule: Day 11 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Geneva, Barcelona, Bucharest, Istanbul] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 2 - 6).\n |- The departure day of Santorini is Day 2. The arrival day of Athens is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 6 - 7).\n   |- The departure day of Athens is Day 6. The arrival day of Milan is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Athens to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 11 - 13).\n     |- The departure day of Milan is Day 7. The arrival day of Prague is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Athens, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Barcelona, Bucharest, Istanbul] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 11 - 13).\n       |- The departure day of Barcelona is Day 8. The arrival day of Prague is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Athens, Milan, Barcelona].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest, Istanbul] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Barcelona to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 11 - 13).\n         |- The departure day of Geneva is Day 10. The arrival day of Prague is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Santorini, Athens, Milan, Barcelona, Geneva].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Istanbul] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Geneva to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Geneva to Istanbul.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Barcelona to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Barcelona to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 11 - 13).\n       |- The departure day of Istanbul is Day 11. The arrival day of Prague is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Athens, Milan, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Istanbul to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 18 - 20).\n         |- The departure day of Prague is Day 13. The arrival day of Dubrovnik is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Santorini, Athens, Milan, Istanbul, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Barcelona, Bucharest] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Prague to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 18 - 20).\n           |- The departure day of Geneva is Day 15. The arrival day of Dubrovnik is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Geneva].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Barcelona, Bucharest] and explore these options in order.\n             |- Try arranging to visit Barcelona from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Geneva to Barcelona.\n             |- No. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Geneva to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Prague to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 18 - 20).\n           |- The departure day of Barcelona is Day 14. The arrival day of Dubrovnik is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Barcelona].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Barcelona to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 18 - 20).\n             |- The departure day of Geneva is Day 16. The arrival day of Dubrovnik is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Barcelona, Geneva].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Geneva to Bucharest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Barcelona to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Prague to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 18 - 20).\n           |- The departure day of Bucharest is Day 17. The arrival day of Dubrovnik is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Barcelona] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Bucharest to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Barcelona from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Bucharest to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Dubrovnik (Day 18 - 20).\n             |- The departure day of Barcelona is Day 18. The arrival day of Dubrovnik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Bucharest, Barcelona].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Barcelona to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Bucharest, Barcelona, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Dubrovnik to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Santorini, Athens, Milan, Istanbul, Prague, Bucharest, Barcelona, Dubrovnik, Geneva].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Athens.\n**Day 2-6:** Visit Athens for 5 days.\n**Day 6:** Fly from Athens to Milan.\n**Day 6-7:** Visit Milan for 2 days.\n**Day 7:** Fly from Milan to Istanbul.\n**Day 7-11:** Visit Istanbul for 5 days.\n**Day 11:** Fly from Istanbul to Prague.\n**Day 11-13:** Visit Prague for 3 days.\n**Day 13:** Fly from Prague to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Barcelona.\n**Day 17-18:** Visit Barcelona for 2 days.\n**Day 18:** Fly from Barcelona to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-22:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Rome**Riga**Edinburgh**Porto**Manchester**Split**Vienna**Reykjavik",
    "ground_truth_durations": "2**5**4**3**3**5**5**5**5",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Mykonos",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You would like to visit Manchester for 5 days. You plan to stay in Mykonos for 2 days. You plan to stay in Edinburgh for 3 days. You plan to stay in Porto for 3 days. You would like to visit Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 25 and day 29. You would like to visit Rome for 5 days. You want to meet a friend in Rome between day 2 and day 6. You plan to stay in Split for 5 days. You plan to stay in Riga for 4 days.\n\nHere are the cities that have direct flights:\nVienna and Reykjavik, Rome and Manchester, Rome and Vienna, from Manchester to Split, Manchester and Vienna, Riga and Manchester, Porto and Vienna, Rome and Split, Riga and Edinburgh, Riga and Vienna, from Rome to Riga, Rome and Reykjavik, Rome and Edinburgh, Split and Vienna, Mykonos and Vienna, Edinburgh and Porto, Porto and Manchester, Mykonos and Rome.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 5 days. You would like to visit Manchester for 5 days. You plan to stay in Mykonos for 2 days. You plan to stay in Edinburgh for 3 days. You plan to stay in Porto for 3 days. You would like to visit Reykjavik for 5 days. You have to attend a workshop in Reykjavik between day 25 and day 29. You would like to visit Rome for 5 days. You want to meet a friend in Rome between day 2 and day 6. You plan to stay in Split for 5 days. You plan to stay in Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Reykjavik, from Rome to Manchester, from Rome to Vienna, from Manchester to Split, from Manchester to Vienna, from Riga to Manchester, from Porto to Vienna, from Rome to Split, from Riga to Edinburgh, from Riga to Vienna, from Rome to Riga, from Rome to Reykjavik, from Rome to Edinburgh, from Split to Vienna, from Mykonos to Vienna, from Edinburgh to Porto, from Porto to Manchester, from Mykonos to Rome.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Edinburgh.\n**Day 9-11:** Visit Edinburgh for 3 days.\n**Day 11:** Fly from Edinburgh to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Manchester.\n**Day 13-17:** Visit Manchester for 5 days.\n**Day 17:** Fly from Manchester to Split.\n**Day 17-21:** Visit Split for 5 days.\n**Day 21:** Fly from Split to Vienna.\n**Day 21-25:** Visit Vienna for 5 days.\n**Day 25:** Fly from Vienna to Reykjavik.\n**Day 25-29:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_1222",
    "estimated_output_tokens": 10020,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Split, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 2 - 6.\n* City: Reykjavik, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Manchester, Mykonos, Edinburgh, Porto, Split, Riga] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Vienna is Day 5. The arrival day of Rome is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Manchester is Day 5. The arrival day of Rome is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Mykonos is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 25 - 29).\n   |- The departure day of Rome is Day 6. The arrival day of Reykjavik is Day 25. Day 6 is not later than (<=) Day 25. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Mykonos, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Edinburgh, Porto, Split, Riga] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 25 - 29).\n     |- The departure day of Vienna is Day 10. The arrival day of Reykjavik is Day 25. Day 10 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Rome, Vienna].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Edinburgh, Porto, Split, Riga] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vienna to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vienna to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vienna to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vienna to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Vienna to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 25 - 29).\n     |- The departure day of Manchester is Day 10. The arrival day of Reykjavik is Day 25. Day 10 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Rome, Manchester].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Edinburgh, Porto, Split, Riga] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Manchester to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 25 - 29).\n       |- The departure day of Vienna is Day 14. The arrival day of Reykjavik is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Mykonos, Rome, Manchester, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto, Split, Riga] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vienna to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vienna to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Vienna to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Vienna to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Manchester to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Manchester to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Manchester to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 25 - 29).\n       |- The departure day of Split is Day 14. The arrival day of Reykjavik is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Mykonos, Rome, Manchester, Split].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Edinburgh, Porto, Riga] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Split to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 25 - 29).\n         |- The departure day of Vienna is Day 18. The arrival day of Reykjavik is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Mykonos, Rome, Manchester, Split, Vienna].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto, Riga] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Vienna to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Vienna to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Vienna to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Split to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Split to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Split to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Manchester to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 25 - 29).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Reykjavik is Day 25. Day 8 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Porto, Split, Riga] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Edinburgh to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 25 - 29).\n       |- The departure day of Porto is Day 10. The arrival day of Reykjavik is Day 25. Day 10 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Rome, Edinburgh, Porto].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Split, Riga] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 25 - 29).\n         |- The departure day of Vienna is Day 14. The arrival day of Reykjavik is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, Rome, Edinburgh, Porto, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Split, Riga] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vienna to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 25 - 29).\n         |- The departure day of Manchester is Day 14. The arrival day of Reykjavik is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, Rome, Edinburgh, Porto, Manchester].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Split, Riga] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Manchester to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 25 - 29).\n           |- The departure day of Vienna is Day 18. The arrival day of Reykjavik is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Mykonos, Rome, Edinburgh, Porto, Manchester, Vienna].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Riga] and explore these options in order.\n             |- Try arranging to visit Split from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Vienna to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Vienna to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Manchester to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 25 - 29).\n           |- The departure day of Split is Day 18. The arrival day of Reykjavik is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Mykonos, Rome, Edinburgh, Porto, Manchester, Split].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Riga] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Split to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Reykjavik (Day 25 - 29).\n             |- The departure day of Vienna is Day 22. The arrival day of Reykjavik is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Mykonos, Rome, Edinburgh, Porto, Manchester, Split, Vienna].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Vienna to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Split to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Manchester to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Porto to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Porto to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 25 - 29).\n     |- The departure day of Split is Day 10. The arrival day of Reykjavik is Day 25. Day 10 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Rome, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Edinburgh, Porto, Riga] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Split to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 25 - 29).\n       |- The departure day of Vienna is Day 14. The arrival day of Reykjavik is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Mykonos, Rome, Split, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Edinburgh, Porto, Riga] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Vienna to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vienna to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Vienna to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Vienna to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Split to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 25 - 29).\n     |- The departure day of Riga is Day 9. The arrival day of Reykjavik is Day 25. Day 9 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Rome, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Edinburgh, Porto, Split] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 25 - 29).\n       |- The departure day of Vienna is Day 13. The arrival day of Reykjavik is Day 25. Day 13 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Rome, Riga, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Edinburgh, Porto, Split] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vienna to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vienna to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 25 - 29).\n       |- The departure day of Manchester is Day 13. The arrival day of Reykjavik is Day 25. Day 13 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Mykonos, Rome, Riga, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Edinburgh, Porto, Split] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Manchester to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 25 - 29).\n         |- The departure day of Vienna is Day 17. The arrival day of Reykjavik is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Rome, Riga, Manchester, Vienna].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto, Split] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Vienna to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Vienna to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vienna to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Manchester to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Manchester to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Manchester to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 25 - 29).\n         |- The departure day of Split is Day 17. The arrival day of Reykjavik is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Mykonos, Rome, Riga, Manchester, Split].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Edinburgh, Porto] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Split to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Reykjavik (Day 25 - 29).\n           |- The departure day of Vienna is Day 21. The arrival day of Reykjavik is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Mykonos, Rome, Riga, Manchester, Split, Vienna].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Porto] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Vienna to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Vienna to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Split to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Split to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 25 - 29).\n       |- The departure day of Edinburgh is Day 11. The arrival day of Reykjavik is Day 25. Day 11 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Rome, Riga, Edinburgh].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Porto, Split] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Edinburgh to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Edinburgh to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Edinburgh to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 25 - 29).\n         |- The departure day of Porto is Day 13. The arrival day of Reykjavik is Day 25. Day 13 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Manchester, Split] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Porto to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 25 - 29).\n           |- The departure day of Vienna is Day 17. The arrival day of Reykjavik is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Vienna].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Split] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Vienna to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Vienna to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Porto to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 25 - 29).\n           |- The departure day of Manchester is Day 17. The arrival day of Reykjavik is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Manchester].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Split] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Manchester to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Reykjavik (Day 25 - 29).\n             |- The departure day of Vienna is Day 21. The arrival day of Reykjavik is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Manchester, Vienna].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Vienna to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Manchester to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Reykjavik (Day 25 - 29).\n             |- The departure day of Split is Day 21. The arrival day of Reykjavik is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Manchester, Split].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Split to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Reykjavik (Day 25 - 29).\n               |- The departure day of Vienna is Day 25. The arrival day of Reykjavik is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Manchester, Split, Vienna].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Reykjavik.\n                 |- Try arranging to visit Reykjavik from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Vienna to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Mykonos, Rome, Riga, Edinburgh, Porto, Manchester, Split, Vienna, Reykjavik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Riga.\n**Day 6-9:** Visit Riga for 4 days.\n**Day 9:** Fly from Riga to Edinburgh.\n**Day 9-11:** Visit Edinburgh for 3 days.\n**Day 11:** Fly from Edinburgh to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Manchester.\n**Day 13-17:** Visit Manchester for 5 days.\n**Day 17:** Fly from Manchester to Split.\n**Day 17-21:** Visit Split for 5 days.\n**Day 21:** Fly from Split to Vienna.\n**Day 21-25:** Visit Vienna for 5 days.\n**Day 25:** Fly from Vienna to Reykjavik.\n**Day 25-29:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Athens**Naples**Frankfurt**Porto**Copenhagen**Santorini**Dublin**Seville",
    "ground_truth_durations": "2**5**2**5**4**4**2**4**4",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 17,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Naples",
        "Dublin"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Athens",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Porto",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Frankfurt. You want to spend 2 days in Venice. You want to spend 4 days in Seville. You want to spend 4 days in Dublin. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 11 and day 14 to tour together. You plan to stay in Athens for 5 days. You are going to attend a wedding in Athens between day 2 and day 6. You want to spend 4 days in Copenhagen. You would like to visit Naples for 2 days. You plan to visit relatives in Naples between day 6 and day 7. You plan to stay in Santorini for 2 days. You have to attend a workshop in Santorini between day 17 and day 18.\n\nHere are the cities that have direct flights:\nAthens and Frankfurt, Athens and Naples, Athens and Santorini, Venice and Dublin, Santorini and Dublin, Naples and Santorini, Venice and Copenhagen, Venice and Athens, Naples and Dublin, Athens and Copenhagen, Copenhagen and Santorini, Frankfurt and Dublin, Venice and Santorini, Naples and Frankfurt, Dublin and Seville, Athens and Dublin, Frankfurt and Copenhagen, Venice and Naples, Porto and Seville, Porto and Dublin, Copenhagen and Dublin, Naples and Copenhagen, Frankfurt and Porto, Venice and Frankfurt, Porto and Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Frankfurt. You want to spend 2 days in Venice. You want to spend 4 days in Seville. You want to spend 4 days in Dublin. You plan to stay in Porto for 4 days. You would like to meet your friends at Porto between day 11 and day 14 to tour together. You plan to stay in Athens for 5 days. You are going to attend a wedding in Athens between day 2 and day 6. You want to spend 4 days in Copenhagen. You would like to visit Naples for 2 days. You plan to visit relatives in Naples between day 6 and day 7. You plan to stay in Santorini for 2 days. You have to attend a workshop in Santorini between day 17 and day 18.\n\nHere are the cities that have direct flights:\nfrom Athens to Frankfurt, from Athens to Naples, from Athens to Santorini, from Venice to Dublin, from Santorini to Dublin, from Naples to Santorini, from Venice to Copenhagen, from Venice to Athens, from Naples to Dublin, from Athens to Copenhagen, from Copenhagen to Santorini, from Frankfurt to Dublin, from Venice to Santorini, from Naples to Frankfurt, from Dublin to Seville, from Athens to Dublin, from Frankfurt to Copenhagen, from Venice to Naples, from Porto to Seville, from Porto to Dublin, from Copenhagen to Dublin, from Naples to Copenhagen, from Frankfurt to Porto, from Venice to Frankfurt, from Porto to Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Athens.\n**Day 2-6:** Visit Athens for 5 days.\n**Day 6:** Fly from Athens to Naples.\n**Day 6-7:** Visit Naples for 2 days.\n**Day 7:** Fly from Naples to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Dublin.\n**Day 18-21:** Visit Dublin for 4 days.\n**Day 21:** Fly from Dublin to Seville.\n**Day 21-24:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1223",
    "estimated_output_tokens": 2916,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Dublin, Duration: 4 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Copenhagen, Duration: 4 days.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 2 - 6.\n* City: Naples, Fixed Schedule: Day 6 - 7.\n* City: Porto, Fixed Schedule: Day 11 - 14.\n* City: Santorini, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Dublin, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Venice, Seville, Dublin, Copenhagen] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 2 - 6).\n |- The departure day of Frankfurt is Day 5. The arrival day of Athens is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 2 - 6).\n |- The departure day of Venice is Day 2. The arrival day of Athens is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 6 - 7).\n   |- The departure day of Athens is Day 6. The arrival day of Naples is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Athens].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Athens to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 11 - 14).\n     |- The departure day of Naples is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Athens, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Seville, Dublin, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Naples to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 14).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Athens, Naples, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 17 - 18).\n         |- The departure day of Porto is Day 14. The arrival day of Santorini is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Athens, Naples, Frankfurt, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Dublin, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Porto to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Seville is Day 17. The arrival day of Santorini is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Seville].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Seville to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dublin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Porto to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Dublin is Day 17. The arrival day of Santorini is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Dublin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Dublin to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Porto to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Copenhagen is Day 17. The arrival day of Santorini is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Copenhagen].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Copenhagen to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Copenhagen, Santorini].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville, Dublin] and explore these options in order.\n               |- Try arranging to visit Seville from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Santorini to Seville.\n               |- No. Drop this branch.\n               |- Try arranging to visit Dublin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Santorini to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Copenhagen, Santorini, Dublin].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Dublin to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Venice, Athens, Naples, Frankfurt, Porto, Copenhagen, Santorini, Dublin, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Athens.\n**Day 2-6:** Visit Athens for 5 days.\n**Day 6:** Fly from Athens to Naples.\n**Day 6-7:** Visit Naples for 2 days.\n**Day 7:** Fly from Naples to Frankfurt.\n**Day 7-11:** Visit Frankfurt for 5 days.\n**Day 11:** Fly from Frankfurt to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Dublin.\n**Day 18-21:** Visit Dublin for 4 days.\n**Day 21:** Fly from Dublin to Seville.\n**Day 21-24:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Reykjavik**Frankfurt**Istanbul**Venice**Warsaw**Split**Munich**Seville",
    "ground_truth_durations": "5**3**4**2**4**2**2**2**5",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Munich"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in Istanbul. You plan to stay in Split for 2 days. You want to spend 5 days in Seville. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 5 and day 7. You want to spend 2 days in Warsaw. You want to meet a friend in Warsaw between day 14 and day 15. You plan to stay in Frankfurt for 4 days. You plan to visit relatives in Frankfurt between day 7 and day 10. You want to spend 4 days in Venice. You are going to attend a wedding in Venice between day 11 and day 14.\n\nHere are the cities that have direct flights:\nBrussels and Munich, Istanbul and Munich, Brussels and Warsaw, Venice and Munich, Reykjavik and Frankfurt, Istanbul and Venice, Brussels and Venice, Split and Munich, Venice and Warsaw, Reykjavik and Munich, Frankfurt and Munich, Frankfurt and Warsaw, Munich and Seville, Istanbul and Warsaw, Frankfurt and Venice, Brussels and Istanbul, Brussels and Reykjavik, Reykjavik and Warsaw, Brussels and Seville, Warsaw and Munich, Frankfurt and Istanbul, from Brussels to Frankfurt, Frankfurt and Split, Warsaw and Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to stay in Brussels for 5 days. You want to spend 2 days in Istanbul. You plan to stay in Split for 2 days. You want to spend 5 days in Seville. You plan to stay in Reykjavik for 3 days. You have to attend a workshop in Reykjavik between day 5 and day 7. You want to spend 2 days in Warsaw. You want to meet a friend in Warsaw between day 14 and day 15. You plan to stay in Frankfurt for 4 days. You plan to visit relatives in Frankfurt between day 7 and day 10. You want to spend 4 days in Venice. You are going to attend a wedding in Venice between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Brussels to Munich, from Istanbul to Munich, from Brussels to Warsaw, from Venice to Munich, from Reykjavik to Frankfurt, from Istanbul to Venice, from Brussels to Venice, from Split to Munich, from Venice to Warsaw, from Reykjavik to Munich, from Frankfurt to Munich, from Frankfurt to Warsaw, from Munich to Seville, from Istanbul to Warsaw, from Frankfurt to Venice, from Brussels to Istanbul, from Brussels to Reykjavik, from Reykjavik to Warsaw, from Brussels to Seville, from Warsaw to Munich, from Frankfurt to Istanbul, from Brussels to Frankfurt, from Frankfurt to Split, from Warsaw to Split.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Warsaw.\n**Day 14-15:** Visit Warsaw for 2 days.\n**Day 15:** Fly from Warsaw to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Munich.\n**Day 16-17:** Visit Munich for 2 days.\n**Day 17:** Fly from Munich to Seville.\n**Day 17-21:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1224",
    "estimated_output_tokens": 3410,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days.\n* City: Brussels, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 7.\n* City: Frankfurt, Fixed Schedule: Day 7 - 10.\n* City: Venice, Fixed Schedule: Day 11 - 14.\n* City: Warsaw, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Brussels, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Brussels, Istanbul, Split, Seville] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Munich is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Istanbul, Split, Seville] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Seville is Day 6. The arrival day of Reykjavik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Brussels is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Brussels to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 7 - 10).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Frankfurt is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Reykjavik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Reykjavik to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 11 - 14).\n     |- The departure day of Frankfurt is Day 10. The arrival day of Venice is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Reykjavik, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Istanbul, Split, Seville] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Frankfurt to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 11 - 14).\n       |- The departure day of Munich is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Reykjavik, Frankfurt, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Munich to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Frankfurt to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 11 - 14).\n       |- The departure day of Istanbul is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Istanbul to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 14 - 15).\n         |- The departure day of Venice is Day 14. The arrival day of Warsaw is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Venice to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Split, Seville] and explore these options in order.\n             |- Try arranging to visit Munich from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Warsaw to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw, Munich].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Seville] and explore these options in order.\n               |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Munich to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Seville from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Munich to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw, Munich, Seville].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Seville to Split.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Warsaw to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw, Split].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Munich, Seville] and explore these options in order.\n               |- Try arranging to visit Munich from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Split to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw, Split, Munich].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Munich to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Brussels, Reykjavik, Frankfurt, Istanbul, Venice, Warsaw, Split, Munich, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Warsaw.\n**Day 14-15:** Visit Warsaw for 2 days.\n**Day 15:** Fly from Warsaw to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Munich.\n**Day 16-17:** Visit Munich for 2 days.\n**Day 17:** Fly from Munich to Seville.\n**Day 17-21:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**London**Venice**Dublin**Riga**Vilnius**Amsterdam**Prague**Vienna",
    "ground_truth_durations": "3**3**4**2**4**3**5**5**3",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Riga"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Amsterdam",
        "Prague"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Vienna"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Dublin",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 3 days. You plan to visit relatives in Vienna between day 22 and day 24. You want to spend 5 days in Amsterdam. You want to spend 3 days in Hamburg. You would like to meet your friends at Hamburg between day 1 and day 3 to tour together. You plan to stay in Prague for 5 days. You are going to attend a wedding in Prague between day 18 and day 22. You plan to stay in Venice for 4 days. You plan to stay in London for 3 days. You have to attend a workshop in London between day 3 and day 5. You want to spend 3 days in Vilnius. You would like to visit Dublin for 2 days. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nDublin and Riga, Hamburg and Vienna, Amsterdam and Vienna, from Riga to Vilnius, Riga and Vienna, Hamburg and Venice, Venice and Amsterdam, Dublin and Prague, London and Venice, Hamburg and London, London and Vienna, London and Amsterdam, Venice and Vienna, Vilnius and Vienna, from Riga to Hamburg, Prague and Vienna, Riga and Prague, London and Prague, Amsterdam and Prague, London and Dublin, Vilnius and Amsterdam, Dublin and Vienna, Hamburg and Amsterdam, Venice and Dublin, Riga and Amsterdam, Hamburg and Dublin, Dublin and Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 3 days. You plan to visit relatives in Vienna between day 22 and day 24. You want to spend 5 days in Amsterdam. You want to spend 3 days in Hamburg. You would like to meet your friends at Hamburg between day 1 and day 3 to tour together. You plan to stay in Prague for 5 days. You are going to attend a wedding in Prague between day 18 and day 22. You plan to stay in Venice for 4 days. You plan to stay in London for 3 days. You have to attend a workshop in London between day 3 and day 5. You want to spend 3 days in Vilnius. You would like to visit Dublin for 2 days. You want to spend 4 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Dublin to Riga, from Hamburg to Vienna, from Amsterdam to Vienna, from Riga to Vilnius, from Riga to Vienna, from Hamburg to Venice, from Venice to Amsterdam, from Dublin to Prague, from London to Venice, from Hamburg to London, from London to Vienna, from London to Amsterdam, from Venice to Vienna, from Vilnius to Vienna, from Riga to Hamburg, from Prague to Vienna, from Riga to Prague, from London to Prague, from Amsterdam to Prague, from London to Dublin, from Vilnius to Amsterdam, from Dublin to Vienna, from Hamburg to Amsterdam, from Venice to Dublin, from Riga to Amsterdam, from Hamburg to Dublin, from Dublin to Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Riga.\n**Day 9-12:** Visit Riga for 4 days.\n**Day 12:** Fly from Riga to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Amsterdam.\n**Day 14-18:** Visit Amsterdam for 5 days.\n**Day 18:** Fly from Amsterdam to Prague.\n**Day 18-22:** Visit Prague for 5 days.\n**Day 22:** Fly from Prague to Vienna.\n**Day 22-24:** Visit Vienna for 3 days.",
    "id": "trip_planning_example_1225",
    "estimated_output_tokens": 3751,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Amsterdam, Duration: 5 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Venice, Duration: 4 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Vilnius, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Prague, Fixed Schedule: Day 18 - 22.\n* City: Vienna, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Hamburg is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 18 - 22).\n   |- The departure day of London is Day 5. The arrival day of Prague is Day 18. Day 5 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Venice, Vilnius, Dublin, Riga] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from London to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 18 - 22).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Prague is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, London, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Dublin, Riga] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Amsterdam to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Amsterdam to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Amsterdam to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 18 - 22).\n     |- The departure day of Venice is Day 8. The arrival day of Prague is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, London, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Dublin, Riga] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 18 - 22).\n       |- The departure day of Amsterdam is Day 12. The arrival day of Prague is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, London, Venice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Dublin, Riga] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Amsterdam to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Amsterdam to Dublin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Amsterdam to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 18 - 22).\n       |- The departure day of Dublin is Day 9. The arrival day of Prague is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, London, Venice, Dublin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Riga] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Dublin to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 18 - 22).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Prague is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Hamburg, London, Venice, Dublin, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Amsterdam to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Amsterdam to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Dublin to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Dublin to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 18 - 22).\n         |- The departure day of Riga is Day 12. The arrival day of Prague is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, London, Venice, Dublin, Riga].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Riga to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Prague (Day 18 - 22).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Prague is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Hamburg, London, Venice, Dublin, Riga, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Amsterdam to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Riga to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Prague (Day 18 - 22).\n           |- The departure day of Vilnius is Day 14. The arrival day of Prague is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Hamburg, London, Venice, Dublin, Riga, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Vilnius to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Prague (Day 18 - 22).\n             |- The departure day of Amsterdam is Day 18. The arrival day of Prague is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Hamburg, London, Venice, Dublin, Riga, Vilnius, Amsterdam].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Prague.\n               |- Try arranging to visit Prague from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Amsterdam to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vienna (Day 22 - 24).\n               |- The departure day of Prague is Day 22. The arrival day of Vienna is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Hamburg, London, Venice, Dublin, Riga, Vilnius, Amsterdam, Prague].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Vienna.\n                 |- Try arranging to visit Vienna from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Prague to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Hamburg, London, Venice, Dublin, Riga, Vilnius, Amsterdam, Prague, Vienna].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Riga.\n**Day 9-12:** Visit Riga for 4 days.\n**Day 12:** Fly from Riga to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Amsterdam.\n**Day 14-18:** Visit Amsterdam for 5 days.\n**Day 18:** Fly from Amsterdam to Prague.\n**Day 18-22:** Visit Prague for 5 days.\n**Day 22:** Fly from Prague to Vienna.\n**Day 22-24:** Visit Vienna for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Vienna**Prague**Florence**Paris**Reykjavik**Stuttgart**Stockholm**Tallinn",
    "ground_truth_durations": "4**2**4**2**3**4**4**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 4 days. You would like to meet your friends at Santorini between day 1 and day 4 to tour together. You want to spend 4 days in Stuttgart. During day 14 and day 17, you have to attend a conference in Stuttgart. You plan to stay in Reykjavik for 4 days. You would like to visit Prague for 4 days. You are going to attend a wedding in Prague between day 5 and day 8. You would like to visit Tallinn for 4 days. From day 19 to day 22, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Stockholm. You would like to visit Paris for 3 days. You plan to stay in Florence for 2 days. You plan to stay in Vienna for 2 days.\n\nHere are the cities that have direct flights:\nReykjavik and Stockholm, from Stockholm to Santorini, Vienna and Stockholm, Stuttgart and Stockholm, Paris and Stuttgart, Paris and Stockholm, from Reykjavik to Stuttgart, Vienna and Florence, Vienna and Reykjavik, Santorini and Vienna, Prague and Stockholm, Prague and Paris, Vienna and Prague, Vienna and Paris, Stockholm and Tallinn, Florence and Paris, Prague and Florence, Paris and Tallinn, Prague and Tallinn, Paris and Reykjavik, Prague and Reykjavik, Vienna and Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 4 days. You would like to meet your friends at Santorini between day 1 and day 4 to tour together. You want to spend 4 days in Stuttgart. During day 14 and day 17, you have to attend a conference in Stuttgart. You plan to stay in Reykjavik for 4 days. You would like to visit Prague for 4 days. You are going to attend a wedding in Prague between day 5 and day 8. You would like to visit Tallinn for 4 days. From day 19 to day 22, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Stockholm. You would like to visit Paris for 3 days. You plan to stay in Florence for 2 days. You plan to stay in Vienna for 2 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stockholm, from Stockholm to Santorini, from Vienna to Stockholm, from Stuttgart to Stockholm, from Paris to Stuttgart, from Paris to Stockholm, from Reykjavik to Stuttgart, from Vienna to Florence, from Vienna to Reykjavik, from Santorini to Vienna, from Prague to Stockholm, from Prague to Paris, from Vienna to Prague, from Vienna to Paris, from Stockholm to Tallinn, from Florence to Paris, from Prague to Florence, from Paris to Tallinn, from Prague to Tallinn, from Paris to Reykjavik, from Prague to Reykjavik, from Vienna to Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Santorini and visit Santorini for 4 days.\n**Day 4:** Fly from Santorini to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Reykjavik.\n**Day 11-14:** Visit Reykjavik for 4 days.\n**Day 14:** Fly from Reykjavik to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Stockholm.\n**Day 17-19:** Visit Stockholm for 3 days.\n**Day 19:** Fly from Stockholm to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1226",
    "estimated_output_tokens": 4600,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Reykjavik, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Stockholm, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 4.\n* City: Prague, Fixed Schedule: Day 5 - 8.\n* City: Stuttgart, Fixed Schedule: Day 14 - 17.\n* City: Tallinn, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Santorini is Day 4. The arrival day of Prague is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Paris, Florence, Vienna] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Santorini to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 5 - 8).\n   |- The departure day of Vienna is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 14 - 17).\n     |- The departure day of Prague is Day 8. The arrival day of Stuttgart is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Vienna, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Paris, Florence] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 14 - 17).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Stuttgart is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Vienna, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Paris, Florence] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 14 - 17).\n         |- The departure day of Stockholm is Day 13. The arrival day of Stuttgart is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Santorini, Vienna, Prague, Reykjavik, Stockholm].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Florence] and explore these options in order.\n           |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Stockholm to Paris.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Prague to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 14 - 17).\n       |- The departure day of Stockholm is Day 10. The arrival day of Stuttgart is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Vienna, Prague, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Paris, Florence] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stockholm to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stockholm to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Prague to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 14 - 17).\n       |- The departure day of Paris is Day 10. The arrival day of Stuttgart is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Vienna, Prague, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Florence] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Paris to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 14 - 17).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Stuttgart is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Santorini, Vienna, Prague, Paris, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 14 - 17).\n           |- The departure day of Stockholm is Day 15. The arrival day of Stuttgart is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Reykjavik to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Paris to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 14 - 17).\n         |- The departure day of Stockholm is Day 12. The arrival day of Stuttgart is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Vienna, Prague, Paris, Stockholm].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Florence] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Stockholm to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Paris to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 14 - 17).\n       |- The departure day of Florence is Day 9. The arrival day of Stuttgart is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Vienna, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Paris] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Florence to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Florence to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Florence to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 14 - 17).\n         |- The departure day of Paris is Day 11. The arrival day of Stuttgart is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Vienna, Prague, Florence, Paris].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Paris to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 14 - 17).\n           |- The departure day of Reykjavik is Day 14. The arrival day of Stuttgart is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Santorini, Vienna, Prague, Florence, Paris, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Reykjavik to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Tallinn (Day 19 - 22).\n             |- The departure day of Stuttgart is Day 17. The arrival day of Tallinn is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Santorini, Vienna, Prague, Florence, Paris, Reykjavik, Stuttgart].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n               |- Try arranging to visit Stockholm from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Stuttgart to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 19 - 22).\n               |- The departure day of Stockholm is Day 19. The arrival day of Tallinn is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Santorini, Vienna, Prague, Florence, Paris, Reykjavik, Stuttgart, Stockholm].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Stockholm to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Santorini, Vienna, Prague, Florence, Paris, Reykjavik, Stuttgart, Stockholm, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Santorini and visit Santorini for 4 days.\n**Day 4:** Fly from Santorini to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Reykjavik.\n**Day 11-14:** Visit Reykjavik for 4 days.\n**Day 14:** Fly from Reykjavik to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Stockholm.\n**Day 17-19:** Visit Stockholm for 3 days.\n**Day 19:** Fly from Stockholm to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Dublin**Dubrovnik**Naples**Milan**Seville**Manchester**Stuttgart**Hamburg",
    "ground_truth_durations": "5**5**4**5**3**2**5**3**4",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 25,
        "end_day": 28
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Milan"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Milan",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 12 and day 16. You want to spend 3 days in Milan. From day 16 to day 18, there is a annual show you want to attend in Milan. You plan to stay in Seville for 2 days. You would like to visit Dublin for 5 days. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 1 and day 5. You plan to stay in Dubrovnik for 4 days. You want to spend 5 days in Manchester. You would like to visit Hamburg for 4 days. You plan to visit relatives in Hamburg between day 25 and day 28.\n\nHere are the cities that have direct flights:\nDublin and Milan, Milan and Manchester, Naples and Milan, Manchester and Hamburg, Naples and Manchester, Dubrovnik and Naples, Bucharest and Manchester, Dublin and Seville, Dubrovnik and Manchester, Dublin and Hamburg, Milan and Seville, Milan and Stuttgart, Bucharest and Naples, Seville and Manchester, Bucharest and Hamburg, Stuttgart and Hamburg, Dublin and Dubrovnik, Naples and Stuttgart, Manchester and Stuttgart, Dublin and Naples, Dublin and Manchester, Bucharest and Dublin, Milan and Hamburg.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 12 and day 16. You want to spend 3 days in Milan. From day 16 to day 18, there is a annual show you want to attend in Milan. You plan to stay in Seville for 2 days. You would like to visit Dublin for 5 days. You plan to stay in Bucharest for 5 days. You are going to attend a wedding in Bucharest between day 1 and day 5. You plan to stay in Dubrovnik for 4 days. You want to spend 5 days in Manchester. You would like to visit Hamburg for 4 days. You plan to visit relatives in Hamburg between day 25 and day 28.\n\nHere are the cities that have direct flights:\nfrom Dublin to Milan, from Milan to Manchester, from Naples to Milan, from Manchester to Hamburg, from Naples to Manchester, from Dubrovnik to Naples, from Bucharest to Manchester, from Dublin to Seville, from Dubrovnik to Manchester, from Dublin to Hamburg, from Milan to Seville, from Milan to Stuttgart, from Bucharest to Naples, from Seville to Manchester, from Bucharest to Hamburg, from Stuttgart to Hamburg, from Dublin to Dubrovnik, from Naples to Stuttgart, from Manchester to Stuttgart, from Dublin to Naples, from Dublin to Manchester, from Bucharest to Dublin, from Milan to Hamburg.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-12:** Visit Dubrovnik for 4 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Milan.\n**Day 16-18:** Visit Milan for 3 days.\n**Day 18:** Fly from Milan to Seville.\n**Day 18-19:** Visit Seville for 2 days.\n**Day 19:** Fly from Seville to Manchester.\n**Day 19-23:** Visit Manchester for 5 days.\n**Day 23:** Fly from Manchester to Stuttgart.\n**Day 23-25:** Visit Stuttgart for 3 days.\n**Day 25:** Fly from Stuttgart to Hamburg.\n**Day 25-28:** Visit Hamburg for 4 days.",
    "id": "trip_planning_example_1227",
    "estimated_output_tokens": 3252,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Seville, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 5.\n* City: Naples, Fixed Schedule: Day 12 - 16.\n* City: Milan, Fixed Schedule: Day 16 - 18.\n* City: Hamburg, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 12 - 16).\n |- The departure day of Bucharest is Day 5. The arrival day of Naples is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Seville, Dublin, Dubrovnik, Manchester] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Bucharest to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 12 - 16).\n   |- The departure day of Dublin is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Bucharest, Dublin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Seville, Dubrovnik, Manchester] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Dublin to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Dublin to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 16).\n     |- The departure day of Seville is Day 10. The arrival day of Naples is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Dublin, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dubrovnik, Manchester] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Seville to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Seville to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 12 - 16).\n       |- The departure day of Manchester is Day 14. The arrival day of Naples is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Dublin to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 16).\n     |- The departure day of Dubrovnik is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Bucharest, Dublin, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 16 - 18).\n       |- The departure day of Naples is Day 16. The arrival day of Milan is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Bucharest, Dublin, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Naples to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 25 - 28).\n         |- The departure day of Milan is Day 18. The arrival day of Hamburg is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Seville, Manchester] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Milan to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Hamburg (Day 25 - 28).\n           |- The departure day of Stuttgart is Day 20. The arrival day of Hamburg is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan, Stuttgart].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Manchester] and explore these options in order.\n             |- Try arranging to visit Seville from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Stuttgart to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Stuttgart to Manchester.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Milan to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Hamburg (Day 25 - 28).\n           |- The departure day of Seville is Day 19. The arrival day of Hamburg is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan, Seville].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Manchester] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Seville to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Seville to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 25 - 28).\n             |- The departure day of Manchester is Day 23. The arrival day of Hamburg is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan, Seville, Manchester].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Manchester to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Hamburg (Day 25 - 28).\n               |- The departure day of Stuttgart is Day 25. The arrival day of Hamburg is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan, Seville, Manchester, Stuttgart].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Stuttgart to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Bucharest, Dublin, Dubrovnik, Naples, Milan, Seville, Manchester, Stuttgart, Hamburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Dublin.\n**Day 5-9:** Visit Dublin for 5 days.\n**Day 9:** Fly from Dublin to Dubrovnik.\n**Day 9-12:** Visit Dubrovnik for 4 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Milan.\n**Day 16-18:** Visit Milan for 3 days.\n**Day 18:** Fly from Milan to Seville.\n**Day 18-19:** Visit Seville for 2 days.\n**Day 19:** Fly from Seville to Manchester.\n**Day 19-23:** Visit Manchester for 5 days.\n**Day 23:** Fly from Manchester to Stuttgart.\n**Day 23-25:** Visit Stuttgart for 3 days.\n**Day 25:** Fly from Stuttgart to Hamburg.\n**Day 25-28:** Visit Hamburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Edinburgh**Budapest**Mykonos**Munich**Dubrovnik**Oslo**Lisbon**Florence",
    "ground_truth_durations": "4**2**3**2**4**3**5**4**4",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Brussels",
        "Lisbon"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Brussels",
        "Munich"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Budapest",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to meet a friend in Edinburgh between day 4 and day 5. You plan to stay in Brussels for 4 days. You want to spend 2 days in Mykonos. You would like to visit Munich for 4 days. You have to attend a workshop in Munich between day 8 and day 11. You plan to stay in Oslo for 5 days. You plan to visit relatives in Oslo between day 13 and day 17. You plan to stay in Florence for 4 days. You are going to attend a wedding in Florence between day 20 and day 23. You plan to stay in Budapest for 3 days. You plan to stay in Dubrovnik for 3 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Budapest, Dubrovnik and Oslo, Brussels and Lisbon, from Florence to Munich, Edinburgh and Oslo, Mykonos and Munich, Munich and Dubrovnik, Edinburgh and Munich, Brussels and Florence, Brussels and Munich, Budapest and Lisbon, Brussels and Edinburgh, Brussels and Budapest, Budapest and Munich, Munich and Lisbon, Oslo and Lisbon, Budapest and Mykonos, Lisbon and Florence, Munich and Oslo, Brussels and Oslo, Budapest and Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to meet a friend in Edinburgh between day 4 and day 5. You plan to stay in Brussels for 4 days. You want to spend 2 days in Mykonos. You would like to visit Munich for 4 days. You have to attend a workshop in Munich between day 8 and day 11. You plan to stay in Oslo for 5 days. You plan to visit relatives in Oslo between day 13 and day 17. You plan to stay in Florence for 4 days. You are going to attend a wedding in Florence between day 20 and day 23. You plan to stay in Budapest for 3 days. You plan to stay in Dubrovnik for 3 days. You would like to visit Lisbon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Budapest, from Dubrovnik to Oslo, from Brussels to Lisbon, from Florence to Munich, from Edinburgh to Oslo, from Mykonos to Munich, from Munich to Dubrovnik, from Edinburgh to Munich, from Brussels to Florence, from Brussels to Munich, from Budapest to Lisbon, from Brussels to Edinburgh, from Brussels to Budapest, from Budapest to Munich, from Munich to Lisbon, from Oslo to Lisbon, from Budapest to Mykonos, from Lisbon to Florence, from Munich to Oslo, from Brussels to Oslo, from Budapest to Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.\n**Day 8:** Fly from Mykonos to Munich.\n**Day 8-11:** Visit Munich for 4 days.\n**Day 11:** Fly from Munich to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Lisbon.\n**Day 17-20:** Visit Lisbon for 4 days.\n**Day 20:** Fly from Lisbon to Florence.\n**Day 20-23:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1228",
    "estimated_output_tokens": 2367,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Brussels, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Budapest, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 4 - 5.\n* City: Munich, Fixed Schedule: Day 8 - 11.\n* City: Oslo, Fixed Schedule: Day 13 - 17.\n* City: Florence, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lisbon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Mykonos, Budapest, Dubrovnik, Lisbon] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 5).\n |- The departure day of Brussels is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 8 - 11).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Munich is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest, Dubrovnik, Lisbon] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Edinburgh to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Edinburgh to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 8 - 11).\n     |- The departure day of Budapest is Day 7. The arrival day of Munich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Edinburgh, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Dubrovnik, Lisbon] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 8 - 11).\n       |- The departure day of Mykonos is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Brussels, Edinburgh, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n         |- Try arranging to visit Munich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Mykonos to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 13 - 17).\n         |- The departure day of Munich is Day 11. The arrival day of Oslo is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Brussels, Edinburgh, Budapest, Mykonos, Munich].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Munich to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 13 - 17).\n           |- The departure day of Dubrovnik is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Brussels, Edinburgh, Budapest, Mykonos, Munich, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Dubrovnik to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 20 - 23).\n             |- The departure day of Oslo is Day 17. The arrival day of Florence is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Edinburgh, Budapest, Mykonos, Munich, Dubrovnik, Oslo].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Oslo to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 20 - 23).\n               |- The departure day of Lisbon is Day 20. The arrival day of Florence is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Brussels, Edinburgh, Budapest, Mykonos, Munich, Dubrovnik, Oslo, Lisbon].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Florence.\n                 |- Try arranging to visit Florence from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Lisbon to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Brussels, Edinburgh, Budapest, Mykonos, Munich, Dubrovnik, Oslo, Lisbon, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.\n**Day 8:** Fly from Mykonos to Munich.\n**Day 8-11:** Visit Munich for 4 days.\n**Day 11:** Fly from Munich to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Lisbon.\n**Day 17-20:** Visit Lisbon for 4 days.\n**Day 20:** Fly from Lisbon to Florence.\n**Day 20-23:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Reykjavik**Vienna**Santorini**Venice**Istanbul**Nice**Riga**Tallinn",
    "ground_truth_durations": "3**4**3**3**4**4**2**2**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Istanbul for 4 days. You want to spend 4 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 3 and day 6. You would like to visit Tallinn for 2 days. You would like to meet your friends at Tallinn between day 18 and day 19 to tour together. You want to spend 3 days in Vienna. You want to spend 3 days in Lisbon. You plan to stay in Santorini for 3 days. You plan to stay in Nice for 2 days. During day 16 and day 17, you have to attend a conference in Nice. You want to spend 4 days in Venice.\n\nHere are the cities that have direct flights:\nVienna and Istanbul, Vienna and Riga, from Riga to Tallinn, Lisbon and Nice, Vienna and Nice, Lisbon and Vienna, Reykjavik and Vienna, Venice and Istanbul, Lisbon and Riga, Lisbon and Reykjavik, Nice and Riga, Istanbul and Nice, Vienna and Venice, Lisbon and Venice, Santorini and Venice, Istanbul and Riga, Reykjavik and Nice, Vienna and Santorini, Venice and Nice, Lisbon and Istanbul, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 2 days. You would like to visit Istanbul for 4 days. You want to spend 4 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 3 and day 6. You would like to visit Tallinn for 2 days. You would like to meet your friends at Tallinn between day 18 and day 19 to tour together. You want to spend 3 days in Vienna. You want to spend 3 days in Lisbon. You plan to stay in Santorini for 3 days. You plan to stay in Nice for 2 days. During day 16 and day 17, you have to attend a conference in Nice. You want to spend 4 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Vienna to Istanbul, from Vienna to Riga, from Riga to Tallinn, from Lisbon to Nice, from Vienna to Nice, from Lisbon to Vienna, from Reykjavik to Vienna, from Venice to Istanbul, from Lisbon to Riga, from Lisbon to Reykjavik, from Nice to Riga, from Istanbul to Nice, from Vienna to Venice, from Lisbon to Venice, from Santorini to Venice, from Istanbul to Riga, from Reykjavik to Nice, from Vienna to Santorini, from Venice to Nice, from Lisbon to Istanbul, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Vienna.\n**Day 6-8:** Visit Vienna for 3 days.\n**Day 8:** Fly from Vienna to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n**Day 17:** Fly from Nice to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1229",
    "estimated_output_tokens": 4459,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 2 days.\n* City: Istanbul, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Vienna, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 3 - 6.\n* City: Nice, Fixed Schedule: Day 16 - 17.\n* City: Tallinn, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Istanbul, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Istanbul, Vienna, Lisbon, Santorini, Venice] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Riga is Day 2. The arrival day of Reykjavik is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Lisbon, Santorini, Venice] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Istanbul is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Vienna is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Lisbon is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 16 - 17).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Nice is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Istanbul, Vienna, Santorini, Venice] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 16 - 17).\n     |- The departure day of Vienna is Day 8. The arrival day of Nice is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Reykjavik, Vienna].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Istanbul, Santorini, Venice] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vienna to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 16 - 17).\n       |- The departure day of Riga is Day 9. The arrival day of Nice is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lisbon, Reykjavik, Vienna, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Santorini, Venice] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vienna to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 16 - 17).\n       |- The departure day of Istanbul is Day 11. The arrival day of Nice is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lisbon, Reykjavik, Vienna, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Santorini, Venice] and explore these options in order.\n         |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Istanbul to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 16 - 17).\n         |- The departure day of Riga is Day 12. The arrival day of Nice is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lisbon, Reykjavik, Vienna, Istanbul, Riga].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Venice] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Riga to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Riga to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Istanbul to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Istanbul to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vienna to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 16 - 17).\n       |- The departure day of Santorini is Day 10. The arrival day of Nice is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Reykjavik, Vienna, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Istanbul, Venice] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 16 - 17).\n         |- The departure day of Venice is Day 13. The arrival day of Nice is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lisbon, Reykjavik, Vienna, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Istanbul] and explore these options in order.\n           |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Venice to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Venice to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 16 - 17).\n           |- The departure day of Istanbul is Day 16. The arrival day of Nice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lisbon, Reykjavik, Vienna, Santorini, Venice, Istanbul].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Istanbul to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 18 - 19).\n             |- The departure day of Nice is Day 17. The arrival day of Tallinn is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lisbon, Reykjavik, Vienna, Santorini, Venice, Istanbul, Nice].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Nice to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 18 - 19).\n               |- The departure day of Riga is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Lisbon, Reykjavik, Vienna, Santorini, Venice, Istanbul, Nice, Riga].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Riga to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Lisbon, Reykjavik, Vienna, Santorini, Venice, Istanbul, Nice, Riga, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Vienna.\n**Day 6-8:** Visit Vienna for 3 days.\n**Day 8:** Fly from Vienna to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Nice.\n**Day 16-17:** Visit Nice for 2 days.\n**Day 17:** Fly from Nice to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Zurich**Tallinn**Vilnius**Milan**Lisbon**Bucharest**Hamburg**Split",
    "ground_truth_durations": "5**2**3**5**5**2**5**3**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Zurich",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You have to attend a workshop in Split between day 23 and day 24. You want to spend 5 days in Milan. You plan to stay in Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 1 and day 5. You plan to stay in Bucharest for 5 days. You would like to visit Lisbon for 2 days. You want to spend 2 days in Zurich. You would like to meet your friends at Zurich between day 5 and day 6 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Tallinn for 3 days. You would like to visit Hamburg for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Tallinn, Milan and Hamburg, Vilnius and Milan, Helsinki and Milan, Helsinki and Split, Zurich and Milan, Bucharest and Hamburg, Zurich and Vilnius, Helsinki and Vilnius, Zurich and Split, Zurich and Lisbon, from Tallinn to Vilnius, Lisbon and Hamburg, Vilnius and Split, Hamburg and Split, Helsinki and Zurich, Zurich and Tallinn, Milan and Lisbon, Helsinki and Lisbon, Milan and Split, Lisbon and Bucharest, Zurich and Hamburg, Helsinki and Hamburg, Zurich and Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You have to attend a workshop in Split between day 23 and day 24. You want to spend 5 days in Milan. You plan to stay in Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 1 and day 5. You plan to stay in Bucharest for 5 days. You would like to visit Lisbon for 2 days. You want to spend 2 days in Zurich. You would like to meet your friends at Zurich between day 5 and day 6 to tour together. You plan to stay in Vilnius for 5 days. You plan to stay in Tallinn for 3 days. You would like to visit Hamburg for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Tallinn, from Milan to Hamburg, from Vilnius to Milan, from Helsinki to Milan, from Helsinki to Split, from Zurich to Milan, from Bucharest to Hamburg, from Zurich to Vilnius, from Helsinki to Vilnius, from Zurich to Split, from Zurich to Lisbon, from Tallinn to Vilnius, from Lisbon to Hamburg, from Vilnius to Split, from Hamburg to Split, from Helsinki to Zurich, from Zurich to Tallinn, from Milan to Lisbon, from Helsinki to Lisbon, from Milan to Split, from Lisbon to Bucharest, from Zurich to Hamburg, from Helsinki to Hamburg, from Zurich to Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-6:** Visit Zurich for 2 days.\n**Day 6:** Fly from Zurich to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Milan.\n**Day 12-16:** Visit Milan for 5 days.\n**Day 16:** Fly from Milan to Lisbon.\n**Day 16-17:** Visit Lisbon for 2 days.\n**Day 17:** Fly from Lisbon to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Hamburg.\n**Day 21-23:** Visit Hamburg for 3 days.\n**Day 23:** Fly from Hamburg to Split.\n**Day 23-24:** Visit Split for 2 days.",
    "id": "trip_planning_example_1230",
    "estimated_output_tokens": 9177,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Milan, Duration: 5 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Vilnius, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 5.\n* City: Zurich, Fixed Schedule: Day 5 - 6.\n* City: Split, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Milan, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 5 - 6).\n |- The departure day of Helsinki is Day 5. The arrival day of Zurich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 23 - 24).\n   |- The departure day of Zurich is Day 6. The arrival day of Split is Day 23. Day 6 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Helsinki, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Lisbon, Vilnius, Tallinn, Hamburg] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 23 - 24).\n     |- The departure day of Milan is Day 10. The arrival day of Split is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Zurich, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Vilnius, Tallinn, Hamburg] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 23 - 24).\n       |- The departure day of Lisbon is Day 11. The arrival day of Split is Day 23. Day 11 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Helsinki, Zurich, Milan, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Vilnius, Tallinn, Hamburg] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 23 - 24).\n         |- The departure day of Bucharest is Day 15. The arrival day of Split is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Zurich, Milan, Lisbon, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Hamburg] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Bucharest to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Bucharest to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 23 - 24).\n           |- The departure day of Hamburg is Day 17. The arrival day of Split is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Helsinki, Zurich, Milan, Lisbon, Bucharest, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Hamburg to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Hamburg to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lisbon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lisbon to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 23 - 24).\n         |- The departure day of Hamburg is Day 13. The arrival day of Split is Day 23. Day 13 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Zurich, Milan, Lisbon, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Hamburg to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Milan to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 23 - 24).\n       |- The departure day of Hamburg is Day 12. The arrival day of Split is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Zurich, Milan, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Hamburg to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 23 - 24).\n     |- The departure day of Bucharest is Day 10. The arrival day of Split is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Zurich, Bucharest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Lisbon, Vilnius, Tallinn, Hamburg] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Bucharest to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Bucharest to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Bucharest to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Bucharest to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Bucharest to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 23 - 24).\n       |- The departure day of Hamburg is Day 12. The arrival day of Split is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Zurich, Bucharest, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Lisbon, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Hamburg to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 23 - 24).\n     |- The departure day of Lisbon is Day 7. The arrival day of Split is Day 23. Day 7 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Helsinki, Zurich, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Vilnius, Tallinn, Hamburg] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 23 - 24).\n       |- The departure day of Bucharest is Day 11. The arrival day of Split is Day 23. Day 11 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Helsinki, Zurich, Lisbon, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Tallinn, Hamburg] and explore these options in order.\n         |- Try arranging to visit Milan from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Bucharest to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Bucharest to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Bucharest to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Bucharest to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 23 - 24).\n         |- The departure day of Hamburg is Day 13. The arrival day of Split is Day 23. Day 13 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Zurich, Lisbon, Bucharest, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Tallinn] and explore these options in order.\n           |- Try arranging to visit Milan from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Hamburg to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Hamburg to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lisbon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lisbon to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 23 - 24).\n       |- The departure day of Hamburg is Day 9. The arrival day of Split is Day 23. Day 9 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Zurich, Lisbon, Hamburg].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Vilnius, Tallinn] and explore these options in order.\n         |- Try arranging to visit Milan from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Hamburg to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Hamburg to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Hamburg to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Hamburg to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 23 - 24).\n     |- The departure day of Vilnius is Day 10. The arrival day of Split is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Zurich, Vilnius].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Lisbon, Tallinn, Hamburg] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 23 - 24).\n       |- The departure day of Milan is Day 14. The arrival day of Split is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Helsinki, Zurich, Vilnius, Milan].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Tallinn, Hamburg] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Milan to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Milan to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 23 - 24).\n         |- The departure day of Lisbon is Day 15. The arrival day of Split is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Zurich, Vilnius, Milan, Lisbon].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, Hamburg] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Lisbon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 23 - 24).\n           |- The departure day of Bucharest is Day 19. The arrival day of Split is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Helsinki, Zurich, Vilnius, Milan, Lisbon, Bucharest].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Bucharest to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Bucharest to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Split (Day 23 - 24).\n             |- The departure day of Hamburg is Day 21. The arrival day of Split is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Helsinki, Zurich, Vilnius, Milan, Lisbon, Bucharest, Hamburg].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Hamburg to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Lisbon to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Lisbon to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 23 - 24).\n           |- The departure day of Hamburg is Day 17. The arrival day of Split is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Helsinki, Zurich, Vilnius, Milan, Lisbon, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Hamburg to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Hamburg to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Milan to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Milan to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 23 - 24).\n         |- The departure day of Hamburg is Day 16. The arrival day of Split is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Zurich, Vilnius, Milan, Hamburg].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Tallinn] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Hamburg to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Hamburg to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Hamburg to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vilnius to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vilnius to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vilnius to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 23 - 24).\n     |- The departure day of Tallinn is Day 8. The arrival day of Split is Day 23. Day 8 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Zurich, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Lisbon, Vilnius, Hamburg] and explore these options in order.\n       |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 23 - 24).\n       |- The departure day of Vilnius is Day 12. The arrival day of Split is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Zurich, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Bucharest, Lisbon, Hamburg] and explore these options in order.\n         |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vilnius to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 23 - 24).\n         |- The departure day of Milan is Day 16. The arrival day of Split is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Zurich, Tallinn, Vilnius, Milan].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lisbon, Hamburg] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Milan to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Milan to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 23 - 24).\n           |- The departure day of Lisbon is Day 17. The arrival day of Split is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Helsinki, Zurich, Tallinn, Vilnius, Milan, Lisbon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Lisbon to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 23 - 24).\n             |- The departure day of Bucharest is Day 21. The arrival day of Split is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Helsinki, Zurich, Tallinn, Vilnius, Milan, Lisbon, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Bucharest to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Split (Day 23 - 24).\n               |- The departure day of Hamburg is Day 23. The arrival day of Split is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Helsinki, Zurich, Tallinn, Vilnius, Milan, Lisbon, Bucharest, Hamburg].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Split.\n                 |- Try arranging to visit Split from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Hamburg to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Helsinki, Zurich, Tallinn, Vilnius, Milan, Lisbon, Bucharest, Hamburg, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Zurich.\n**Day 5-6:** Visit Zurich for 2 days.\n**Day 6:** Fly from Zurich to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Milan.\n**Day 12-16:** Visit Milan for 5 days.\n**Day 16:** Fly from Milan to Lisbon.\n**Day 16-17:** Visit Lisbon for 2 days.\n**Day 17:** Fly from Lisbon to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Hamburg.\n**Day 21-23:** Visit Hamburg for 3 days.\n**Day 23:** Fly from Hamburg to Split.\n**Day 23-24:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Zurich**Mykonos**Naples**Venice**Istanbul**Lyon**Frankfurt**Salzburg",
    "ground_truth_durations": "5**5**3**3**5**4**5**4**5",
    "num_cities": 9,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 27,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Istanbul"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Venice",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You are going to attend a wedding in Salzburg between day 27 and day 31. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 17 and day 20. You want to spend 5 days in Reykjavik. You would like to visit Naples for 3 days. You plan to stay in Mykonos for 3 days. You would like to visit Zurich for 5 days. You plan to stay in Lyon for 5 days. You plan to stay in Venice for 5 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Salzburg, Istanbul and Salzburg, Lyon and Frankfurt, Istanbul and Lyon, Venice and Frankfurt, Naples and Istanbul, Istanbul and Frankfurt, Zurich and Istanbul, Venice and Lyon, Zurich and Naples, Mykonos and Naples, Zurich and Venice, Reykjavik and Zurich, Zurich and Mykonos, Reykjavik and Frankfurt, Naples and Frankfurt, Naples and Venice, Zurich and Frankfurt, Venice and Istanbul.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 5 days. You are going to attend a wedding in Salzburg between day 27 and day 31. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 17 and day 20. You want to spend 5 days in Reykjavik. You would like to visit Naples for 3 days. You plan to stay in Mykonos for 3 days. You would like to visit Zurich for 5 days. You plan to stay in Lyon for 5 days. You plan to stay in Venice for 5 days. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Salzburg, from Istanbul to Salzburg, from Lyon to Frankfurt, from Istanbul to Lyon, from Venice to Frankfurt, from Naples to Istanbul, from Istanbul to Frankfurt, from Zurich to Istanbul, from Venice to Lyon, from Zurich to Naples, from Mykonos to Naples, from Zurich to Venice, from Reykjavik to Zurich, from Zurich to Mykonos, from Reykjavik to Frankfurt, from Naples to Frankfurt, from Naples to Venice, from Zurich to Frankfurt, from Venice to Istanbul.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 31 days:\n\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Zurich.\n**Day 5-9:** Visit Zurich for 5 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Naples.\n**Day 11-13:** Visit Naples for 3 days.\n**Day 13:** Fly from Naples to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Istanbul.\n**Day 17-20:** Visit Istanbul for 4 days.\n**Day 20:** Fly from Istanbul to Lyon.\n**Day 20-24:** Visit Lyon for 5 days.\n**Day 24:** Fly from Lyon to Frankfurt.\n**Day 24-27:** Visit Frankfurt for 4 days.\n**Day 27:** Fly from Frankfurt to Salzburg.\n**Day 27-31:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1231",
    "estimated_output_tokens": 3662,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 27 - 31.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Reykjavik, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 17 - 20.\n* City: Salzburg, Fixed Schedule: Day 27 - 31.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Naples, Mykonos, Zurich, Lyon, Venice, Frankfurt] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 17 - 20).\n |- The departure day of Reykjavik is Day 5. The arrival day of Istanbul is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Mykonos, Zurich, Lyon, Venice, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Reykjavik to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Reykjavik to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Reykjavik to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 17 - 20).\n   |- The departure day of Zurich is Day 9. The arrival day of Istanbul is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Reykjavik, Zurich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Mykonos, Lyon, Venice, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Zurich to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 17 - 20).\n     |- The departure day of Naples is Day 11. The arrival day of Istanbul is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Zurich, Naples].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Venice, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Naples to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Naples to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Naples to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 17 - 20).\n       |- The departure day of Venice is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Reykjavik, Zurich, Naples, Venice].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Venice to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Venice to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 20).\n         |- The departure day of Lyon is Day 19. The arrival day of Istanbul is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Venice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 20).\n         |- The departure day of Frankfurt is Day 18. The arrival day of Istanbul is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Naples to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 17 - 20).\n       |- The departure day of Frankfurt is Day 14. The arrival day of Istanbul is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Zurich, Naples, Frankfurt].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Venice] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Frankfurt to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Frankfurt to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Frankfurt to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 17 - 20).\n     |- The departure day of Mykonos is Day 11. The arrival day of Istanbul is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Zurich, Mykonos].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Lyon, Venice, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Mykonos to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 17 - 20).\n       |- The departure day of Naples is Day 13. The arrival day of Istanbul is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Reykjavik, Zurich, Mykonos, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Venice, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 17 - 20).\n         |- The departure day of Venice is Day 17. The arrival day of Istanbul is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Reykjavik, Zurich, Mykonos, Naples, Venice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Venice to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Salzburg (Day 27 - 31).\n           |- The departure day of Istanbul is Day 20. The arrival day of Salzburg is Day 27. Day 20 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Reykjavik, Zurich, Mykonos, Naples, Venice, Istanbul].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Istanbul to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Salzburg (Day 27 - 31).\n             |- The departure day of Lyon is Day 24. The arrival day of Salzburg is Day 27. Day 24 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Reykjavik, Zurich, Mykonos, Naples, Venice, Istanbul, Lyon].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Lyon to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Salzburg (Day 27 - 31).\n               |- The departure day of Frankfurt is Day 27. The arrival day of Salzburg is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Reykjavik, Zurich, Mykonos, Naples, Venice, Istanbul, Lyon, Frankfurt].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- Yes. The city with an arrival day of Day 27 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Reykjavik, Zurich, Mykonos, Naples, Venice, Istanbul, Lyon, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Reykjavik and visit Reykjavik for 5 days.\n**Day 5:** Fly from Reykjavik to Zurich.\n**Day 5-9:** Visit Zurich for 5 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Naples.\n**Day 11-13:** Visit Naples for 3 days.\n**Day 13:** Fly from Naples to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Istanbul.\n**Day 17-20:** Visit Istanbul for 4 days.\n**Day 20:** Fly from Istanbul to Lyon.\n**Day 20-24:** Visit Lyon for 5 days.\n**Day 24:** Fly from Lyon to Frankfurt.\n**Day 24-27:** Visit Frankfurt for 4 days.\n**Day 27:** Fly from Frankfurt to Salzburg.\n**Day 27-31:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Vilnius**Helsinki**Split**Vienna**Seville**Porto**Zurich**Athens",
    "ground_truth_durations": "3**4**2**2**4**4**4**3**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 6,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Vilnius",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Seville for 4 days. You plan to stay in Zurich for 3 days. You plan to visit relatives in Zurich between day 17 and day 19. You would like to visit Brussels for 3 days. You have to attend a workshop in Brussels between day 1 and day 3. You would like to visit Athens for 5 days. You plan to stay in Vienna for 4 days. You want to spend 4 days in Porto. You want to meet a friend in Porto between day 14 and day 17. You want to spend 2 days in Split. You want to spend 2 days in Helsinki. During day 6 and day 7, you have to attend a conference in Helsinki.\n\nHere are the cities that have direct flights:\nBrussels and Helsinki, Vienna and Athens, Vienna and Seville, Vienna and Porto, Helsinki and Vienna, Vilnius and Zurich, Vilnius and Split, Helsinki and Split, Brussels and Athens, Zurich and Athens, Porto and Zurich, Split and Zurich, Vilnius and Helsinki, Brussels and Vilnius, Brussels and Zurich, Split and Athens, Seville and Porto, Brussels and Seville, Helsinki and Zurich, Vilnius and Vienna, Brussels and Vienna, Vienna and Zurich, Brussels and Porto, Split and Vienna, Vilnius and Athens.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 4 days. You would like to visit Seville for 4 days. You plan to stay in Zurich for 3 days. You plan to visit relatives in Zurich between day 17 and day 19. You would like to visit Brussels for 3 days. You have to attend a workshop in Brussels between day 1 and day 3. You would like to visit Athens for 5 days. You plan to stay in Vienna for 4 days. You want to spend 4 days in Porto. You want to meet a friend in Porto between day 14 and day 17. You want to spend 2 days in Split. You want to spend 2 days in Helsinki. During day 6 and day 7, you have to attend a conference in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Brussels to Helsinki, from Vienna to Athens, from Vienna to Seville, from Vienna to Porto, from Helsinki to Vienna, from Vilnius to Zurich, from Vilnius to Split, from Helsinki to Split, from Brussels to Athens, from Zurich to Athens, from Porto to Zurich, from Split to Zurich, from Vilnius to Helsinki, from Brussels to Vilnius, from Brussels to Zurich, from Split to Athens, from Seville to Porto, from Brussels to Seville, from Helsinki to Zurich, from Vilnius to Vienna, from Brussels to Vienna, from Vienna to Zurich, from Brussels to Porto, from Split to Vienna, from Vilnius to Athens.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Vilnius.\n**Day 3-6:** Visit Vilnius for 4 days.\n**Day 6:** Fly from Vilnius to Helsinki.\n**Day 6-7:** Visit Helsinki for 2 days.\n**Day 7:** Fly from Helsinki to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to Vienna.\n**Day 8-11:** Visit Vienna for 4 days.\n**Day 11:** Fly from Vienna to Seville.\n**Day 11-14:** Visit Seville for 4 days.\n**Day 14:** Fly from Seville to Porto.\n**Day 14-17:** Visit Porto for 4 days.\n**Day 17:** Fly from Porto to Zurich.\n**Day 17-19:** Visit Zurich for 3 days.\n**Day 19:** Fly from Zurich to Athens.\n**Day 19-23:** Visit Athens for 5 days.",
    "id": "trip_planning_example_1232",
    "estimated_output_tokens": 3548,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Athens, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Split, Duration: 2 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Fixed Schedule: Day 6 - 7.\n* City: Porto, Fixed Schedule: Day 14 - 17.\n* City: Zurich, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Athens, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 6 - 7).\n |- The departure day of Brussels is Day 3. The arrival day of Helsinki is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville, Athens, Vienna, Split] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Brussels to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Helsinki (Day 6 - 7).\n   |- The departure day of Vilnius is Day 6. The arrival day of Helsinki is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 14 - 17).\n     |- The departure day of Helsinki is Day 7. The arrival day of Porto is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Brussels, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Athens, Vienna, Split] and explore these options in order.\n       |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Helsinki to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Helsinki to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Helsinki to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 17).\n       |- The departure day of Vienna is Day 10. The arrival day of Porto is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Vilnius, Helsinki, Vienna].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Athens, Split] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Vienna to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 17).\n         |- The departure day of Seville is Day 13. The arrival day of Porto is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Vilnius, Helsinki, Vienna, Seville].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Split] and explore these options in order.\n           |- Try arranging to visit Athens from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Seville to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Seville to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Vienna to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 17).\n         |- The departure day of Athens is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Vilnius, Helsinki, Vienna, Athens].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Athens to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vienna to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 17).\n       |- The departure day of Split is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Brussels, Vilnius, Helsinki, Split].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Athens, Vienna] and explore these options in order.\n         |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Split to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Split to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 17).\n         |- The departure day of Athens is Day 12. The arrival day of Porto is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Brussels, Vilnius, Helsinki, Split, Athens].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Vienna] and explore these options in order.\n           |- Try arranging to visit Seville from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Athens to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Athens to Vienna.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Split to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 17).\n         |- The departure day of Vienna is Day 11. The arrival day of Porto is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Brussels, Vilnius, Helsinki, Split, Vienna].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Athens] and explore these options in order.\n           |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Vienna to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 14 - 17).\n           |- The departure day of Seville is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Brussels, Vilnius, Helsinki, Split, Vienna, Seville].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n             |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Seville to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Zurich (Day 17 - 19).\n             |- The departure day of Porto is Day 17. The arrival day of Zurich is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Vilnius, Helsinki, Split, Vienna, Seville, Porto].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Zurich.\n               |- Try arranging to visit Zurich from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Porto to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Brussels, Vilnius, Helsinki, Split, Vienna, Seville, Porto, Zurich].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n                 |- Try arranging to visit Athens from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Zurich to Athens.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Brussels, Vilnius, Helsinki, Split, Vienna, Seville, Porto, Zurich, Athens].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Vilnius.\n**Day 3-6:** Visit Vilnius for 4 days.\n**Day 6:** Fly from Vilnius to Helsinki.\n**Day 6-7:** Visit Helsinki for 2 days.\n**Day 7:** Fly from Helsinki to Split.\n**Day 7-8:** Visit Split for 2 days.\n**Day 8:** Fly from Split to Vienna.\n**Day 8-11:** Visit Vienna for 4 days.\n**Day 11:** Fly from Vienna to Seville.\n**Day 11-14:** Visit Seville for 4 days.\n**Day 14:** Fly from Seville to Porto.\n**Day 14-17:** Visit Porto for 4 days.\n**Day 17:** Fly from Porto to Zurich.\n**Day 17-19:** Visit Zurich for 3 days.\n**Day 19:** Fly from Zurich to Athens.\n**Day 19-23:** Visit Athens for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Florence**Frankfurt**Milan**Seville**Dublin**Krakow**Istanbul**Hamburg",
    "ground_truth_durations": "5**4**4**5**5**3**2**5**2",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 26,
        "end_day": 27
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Brussels",
        "Dublin"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Seville",
        "Dublin"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Dublin",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You plan to stay in Brussels for 5 days. You plan to stay in Milan for 5 days. You plan to visit relatives in Milan between day 11 and day 15. You would like to visit Krakow for 2 days. You would like to visit Frankfurt for 4 days. You would like to meet your friends at Frankfurt between day 8 and day 11 to tour together. You would like to visit Dublin for 3 days. You plan to stay in Florence for 4 days. From day 5 to day 8, there is a annual show you want to attend in Florence. You would like to visit Seville for 5 days. You plan to stay in Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 26 and day 27.\n\nHere are the cities that have direct flights:\nIstanbul and Hamburg, Milan and Istanbul, Brussels and Milan, Milan and Krakow, Brussels and Hamburg, Brussels and Florence, Frankfurt and Dublin, Frankfurt and Istanbul, Brussels and Istanbul, Frankfurt and Hamburg, Krakow and Istanbul, Florence and Frankfurt, Frankfurt and Milan, Brussels and Dublin, Milan and Hamburg, from Brussels to Frankfurt, Milan and Dublin, Milan and Seville, Frankfurt and Krakow, Dublin and Krakow, Dublin and Hamburg, Brussels and Krakow, Seville and Dublin, Brussels and Seville, Dublin and Istanbul.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 5 days. You plan to stay in Brussels for 5 days. You plan to stay in Milan for 5 days. You plan to visit relatives in Milan between day 11 and day 15. You would like to visit Krakow for 2 days. You would like to visit Frankfurt for 4 days. You would like to meet your friends at Frankfurt between day 8 and day 11 to tour together. You would like to visit Dublin for 3 days. You plan to stay in Florence for 4 days. From day 5 to day 8, there is a annual show you want to attend in Florence. You would like to visit Seville for 5 days. You plan to stay in Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 26 and day 27.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Hamburg, from Milan to Istanbul, from Brussels to Milan, from Milan to Krakow, from Brussels to Hamburg, from Brussels to Florence, from Frankfurt to Dublin, from Frankfurt to Istanbul, from Brussels to Istanbul, from Frankfurt to Hamburg, from Krakow to Istanbul, from Florence to Frankfurt, from Frankfurt to Milan, from Brussels to Dublin, from Milan to Hamburg, from Brussels to Frankfurt, from Milan to Dublin, from Milan to Seville, from Frankfurt to Krakow, from Dublin to Krakow, from Dublin to Hamburg, from Brussels to Krakow, from Seville to Dublin, from Brussels to Seville, from Dublin to Istanbul.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Frankfurt.\n**Day 8-11:** Visit Frankfurt for 4 days.\n**Day 11:** Fly from Frankfurt to Milan.\n**Day 11-15:** Visit Milan for 5 days.\n**Day 15:** Fly from Milan to Seville.\n**Day 15-19:** Visit Seville for 5 days.\n**Day 19:** Fly from Seville to Dublin.\n**Day 19-21:** Visit Dublin for 3 days.\n**Day 21:** Fly from Dublin to Krakow.\n**Day 21-22:** Visit Krakow for 2 days.\n**Day 22:** Fly from Krakow to Istanbul.\n**Day 22-26:** Visit Istanbul for 5 days.\n**Day 26:** Fly from Istanbul to Hamburg.\n**Day 26-27:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_1233",
    "estimated_output_tokens": 4992,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Krakow, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Dublin, Duration: 3 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Seville, Duration: 5 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 26 - 27.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 5 - 8.\n* City: Frankfurt, Fixed Schedule: Day 8 - 11.\n* City: Milan, Fixed Schedule: Day 11 - 15.\n* City: Hamburg, Fixed Schedule: Day 26 - 27.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Brussels, Krakow, Dublin, Seville] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 8).\n |- The departure day of Istanbul is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Istanbul to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 8).\n |- The departure day of Brussels is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Brussels to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 8 - 11).\n   |- The departure day of Florence is Day 8. The arrival day of Frankfurt is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Florence].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Florence to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 11 - 15).\n     |- The departure day of Frankfurt is Day 11. The arrival day of Milan is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Florence, Frankfurt].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Frankfurt to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Hamburg (Day 26 - 27).\n       |- The departure day of Milan is Day 15. The arrival day of Hamburg is Day 26. Day 15 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Brussels, Florence, Frankfurt, Milan].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow, Dublin, Seville] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Milan to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 26 - 27).\n         |- The departure day of Istanbul is Day 19. The arrival day of Hamburg is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Brussels, Florence, Frankfurt, Milan, Istanbul].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Dublin, Seville] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Istanbul to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Istanbul to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Istanbul to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Milan to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 26 - 27).\n         |- The departure day of Krakow is Day 16. The arrival day of Hamburg is Day 26. Day 16 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Brussels, Florence, Frankfurt, Milan, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Dublin, Seville] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Krakow to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 26 - 27).\n           |- The departure day of Istanbul is Day 20. The arrival day of Hamburg is Day 26. Day 20 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Brussels, Florence, Frankfurt, Milan, Krakow, Istanbul].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dublin, Seville] and explore these options in order.\n             |- Try arranging to visit Dublin from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Istanbul to Dublin.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Istanbul to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dublin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Krakow to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Krakow to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Milan to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 26 - 27).\n         |- The departure day of Dublin is Day 17. The arrival day of Hamburg is Day 26. Day 17 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Brussels, Florence, Frankfurt, Milan, Dublin].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow, Seville] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Dublin to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 26 - 27).\n           |- The departure day of Istanbul is Day 21. The arrival day of Hamburg is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Brussels, Florence, Frankfurt, Milan, Dublin, Istanbul].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Seville] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Istanbul to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Istanbul to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Dublin to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 26 - 27).\n           |- The departure day of Krakow is Day 18. The arrival day of Hamburg is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Brussels, Florence, Frankfurt, Milan, Dublin, Krakow].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Seville] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Krakow to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Hamburg (Day 26 - 27).\n             |- The departure day of Istanbul is Day 22. The arrival day of Hamburg is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Brussels, Florence, Frankfurt, Milan, Dublin, Krakow, Istanbul].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Istanbul to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Krakow to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Dublin to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Milan to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 26 - 27).\n         |- The departure day of Seville is Day 19. The arrival day of Hamburg is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow, Dublin] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Seville to Istanbul.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Seville to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Seville to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 26 - 27).\n           |- The departure day of Dublin is Day 21. The arrival day of Hamburg is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville, Dublin].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Krakow] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Dublin to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Hamburg (Day 26 - 27).\n             |- The departure day of Istanbul is Day 25. The arrival day of Hamburg is Day 26. Day 25 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville, Dublin, Istanbul].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Istanbul to Krakow.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Dublin to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Hamburg (Day 26 - 27).\n             |- The departure day of Krakow is Day 22. The arrival day of Hamburg is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville, Dublin, Krakow].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Krakow to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Hamburg (Day 26 - 27).\n               |- The departure day of Istanbul is Day 26. The arrival day of Hamburg is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville, Dublin, Krakow, Istanbul].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- Yes. The city with an arrival day of Day 26 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                 |- Check for direct flight from Istanbul to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Brussels, Florence, Frankfurt, Milan, Seville, Dublin, Krakow, Istanbul, Hamburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Brussels and visit Brussels for 5 days.\n**Day 5:** Fly from Brussels to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Frankfurt.\n**Day 8-11:** Visit Frankfurt for 4 days.\n**Day 11:** Fly from Frankfurt to Milan.\n**Day 11-15:** Visit Milan for 5 days.\n**Day 15:** Fly from Milan to Seville.\n**Day 15-19:** Visit Seville for 5 days.\n**Day 19:** Fly from Seville to Dublin.\n**Day 19-21:** Visit Dublin for 3 days.\n**Day 21:** Fly from Dublin to Krakow.\n**Day 21-22:** Visit Krakow for 2 days.\n**Day 22:** Fly from Krakow to Istanbul.\n**Day 22-26:** Visit Istanbul for 5 days.\n**Day 26:** Fly from Istanbul to Hamburg.\n**Day 26-27:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Munich**Dubrovnik**Madrid**Lyon**Nice**Stockholm**Warsaw**Split",
    "ground_truth_durations": "4**2**2**5**4**3**5**5**5",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 13,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Lyon"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Lyon",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 19 and day 23. You want to spend 5 days in Madrid. You plan to stay in Split for 5 days. You would like to visit Munich for 2 days. During day 4 and day 5, you have to attend a conference in Munich. You would like to visit Dubrovnik for 2 days. You want to spend 4 days in Lyon. You want to spend 5 days in Stockholm. You plan to stay in Geneva for 4 days. You are going to attend a wedding in Geneva between day 1 and day 4. You plan to stay in Nice for 3 days. You would like to meet your friends at Nice between day 13 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nMunich and Lyon, Stockholm and Split, Warsaw and Split, Munich and Dubrovnik, Nice and Stockholm, Madrid and Split, Geneva and Warsaw, Stockholm and Warsaw, Geneva and Split, Geneva and Stockholm, Nice and Warsaw, Munich and Nice, Madrid and Nice, Munich and Stockholm, Lyon and Nice, Dubrovnik and Madrid, Geneva and Dubrovnik, Geneva and Nice, Geneva and Madrid, Madrid and Lyon, Munich and Madrid, Madrid and Warsaw, Madrid and Stockholm, Geneva and Munich, Dubrovnik and Stockholm, Munich and Split, Munich and Warsaw, Lyon and Split.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 19 and day 23. You want to spend 5 days in Madrid. You plan to stay in Split for 5 days. You would like to visit Munich for 2 days. During day 4 and day 5, you have to attend a conference in Munich. You would like to visit Dubrovnik for 2 days. You want to spend 4 days in Lyon. You want to spend 5 days in Stockholm. You plan to stay in Geneva for 4 days. You are going to attend a wedding in Geneva between day 1 and day 4. You plan to stay in Nice for 3 days. You would like to meet your friends at Nice between day 13 and day 15 to tour together.\n\nHere are the cities that have direct flights:\nfrom Munich to Lyon, from Stockholm to Split, from Warsaw to Split, from Munich to Dubrovnik, from Nice to Stockholm, from Madrid to Split, from Geneva to Warsaw, from Stockholm to Warsaw, from Geneva to Split, from Geneva to Stockholm, from Nice to Warsaw, from Munich to Nice, from Madrid to Nice, from Munich to Stockholm, from Lyon to Nice, from Dubrovnik to Madrid, from Geneva to Dubrovnik, from Geneva to Nice, from Geneva to Madrid, from Madrid to Lyon, from Munich to Madrid, from Madrid to Warsaw, from Madrid to Stockholm, from Geneva to Munich, from Dubrovnik to Stockholm, from Munich to Split, from Munich to Warsaw, from Lyon to Split.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Munich.\n**Day 4-5:** Visit Munich for 2 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Madrid.\n**Day 6-10:** Visit Madrid for 5 days.\n**Day 10:** Fly from Madrid to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Stockholm.\n**Day 15-19:** Visit Stockholm for 5 days.\n**Day 19:** Fly from Stockholm to Warsaw.\n**Day 19-23:** Visit Warsaw for 5 days.\n**Day 23:** Fly from Warsaw to Split.\n**Day 23-27:** Visit Split for 5 days.",
    "id": "trip_planning_example_1234",
    "estimated_output_tokens": 4000,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Madrid, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lyon, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 4 - 5.\n* City: Nice, Fixed Schedule: Day 13 - 15.\n* City: Warsaw, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Madrid, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lyon, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 5).\n |- The departure day of Geneva is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 13 - 15).\n   |- The departure day of Munich is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Split, Dubrovnik, Lyon, Stockholm] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 15).\n     |- The departure day of Madrid is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Munich, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Lyon, Stockholm] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Madrid to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 15).\n       |- The departure day of Split is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Geneva, Munich, Madrid, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Madrid to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Madrid to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 15).\n       |- The departure day of Lyon is Day 12. The arrival day of Nice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Geneva, Munich, Madrid, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Stockholm] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 15).\n         |- The departure day of Split is Day 16. The arrival day of Nice is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Lyon to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 15).\n       |- The departure day of Stockholm is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Geneva, Munich, Madrid, Stockholm].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stockholm to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 15).\n     |- The departure day of Split is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Munich, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Dubrovnik, Lyon, Stockholm] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Split to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Split to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 15).\n     |- The departure day of Dubrovnik is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Geneva, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Split, Lyon, Stockholm] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Dubrovnik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 13 - 15).\n       |- The departure day of Madrid is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Munich, Dubrovnik, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Lyon, Stockholm] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Madrid to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 15).\n         |- The departure day of Split is Day 14. The arrival day of Nice is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Madrid to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 15).\n         |- The departure day of Lyon is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Munich, Dubrovnik, Madrid, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Lyon to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 19 - 23).\n           |- The departure day of Nice is Day 15. The arrival day of Warsaw is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Geneva, Munich, Dubrovnik, Madrid, Lyon, Nice].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Stockholm] and explore these options in order.\n             |- Try arranging to visit Split from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Nice to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Nice to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 19 - 23).\n             |- The departure day of Stockholm is Day 19. The arrival day of Warsaw is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Geneva, Munich, Dubrovnik, Madrid, Lyon, Nice, Stockholm].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Stockholm to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Geneva, Munich, Dubrovnik, Madrid, Lyon, Nice, Stockholm, Warsaw].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Warsaw to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Geneva, Munich, Dubrovnik, Madrid, Lyon, Nice, Stockholm, Warsaw, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Munich.\n**Day 4-5:** Visit Munich for 2 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Madrid.\n**Day 6-10:** Visit Madrid for 5 days.\n**Day 10:** Fly from Madrid to Lyon.\n**Day 10-13:** Visit Lyon for 4 days.\n**Day 13:** Fly from Lyon to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Stockholm.\n**Day 15-19:** Visit Stockholm for 5 days.\n**Day 19:** Fly from Stockholm to Warsaw.\n**Day 19-23:** Visit Warsaw for 5 days.\n**Day 23:** Fly from Warsaw to Split.\n**Day 23-27:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Istanbul**Valencia**Athens**Riga**Manchester**Venice**Nice**Reykjavik",
    "ground_truth_durations": "4**2**5**4**2**2**3**3**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Manchester",
        "Venice"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Manchester",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You want to spend 2 days in Riga. From day 12 to day 13, there is a annual show you want to attend in Riga. You plan to stay in Istanbul for 2 days. You want to spend 2 days in Manchester. During day 13 and day 14, you have to attend a conference in Manchester. You want to spend 3 days in Reykjavik. You want to meet a friend in Reykjavik between day 18 and day 20. You plan to stay in Venice for 3 days. You would like to visit Athens for 4 days. You have to attend a workshop in Athens between day 9 and day 12. You plan to stay in Dubrovnik for 4 days. You plan to stay in Nice for 3 days.\n\nHere are the cities that have direct flights:\nIstanbul and Manchester, from Athens to Riga, from Reykjavik to Athens, Istanbul and Nice, Dubrovnik and Manchester, Riga and Manchester, Athens and Manchester, Manchester and Venice, Athens and Venice, Venice and Nice, Istanbul and Valencia, Istanbul and Athens, from Dubrovnik to Istanbul, Istanbul and Venice, from Valencia to Athens, Athens and Nice, Istanbul and Riga, Nice and Reykjavik, Riga and Nice, Dubrovnik and Athens, Manchester and Nice.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. You want to spend 2 days in Riga. From day 12 to day 13, there is a annual show you want to attend in Riga. You plan to stay in Istanbul for 2 days. You want to spend 2 days in Manchester. During day 13 and day 14, you have to attend a conference in Manchester. You want to spend 3 days in Reykjavik. You want to meet a friend in Reykjavik between day 18 and day 20. You plan to stay in Venice for 3 days. You would like to visit Athens for 4 days. You have to attend a workshop in Athens between day 9 and day 12. You plan to stay in Dubrovnik for 4 days. You plan to stay in Nice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Manchester, from Athens to Riga, from Reykjavik to Athens, from Istanbul to Nice, from Dubrovnik to Manchester, from Riga to Manchester, from Athens to Manchester, from Manchester to Venice, from Athens to Venice, from Venice to Nice, from Istanbul to Valencia, from Istanbul to Athens, from Dubrovnik to Istanbul, from Istanbul to Venice, from Valencia to Athens, from Athens to Nice, from Istanbul to Riga, from Nice to Reykjavik, from Riga to Nice, from Dubrovnik to Athens, from Manchester to Nice.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Athens.\n**Day 9-12:** Visit Athens for 4 days.\n**Day 12:** Fly from Athens to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Venice.\n**Day 14-16:** Visit Venice for 3 days.\n**Day 16:** Fly from Venice to Nice.\n**Day 16-18:** Visit Nice for 3 days.\n**Day 18:** Fly from Nice to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.",
    "id": "trip_planning_example_1235",
    "estimated_output_tokens": 5066,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Istanbul, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Venice, Duration: 3 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Dubrovnik, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 9 - 12.\n* City: Riga, Fixed Schedule: Day 12 - 13.\n* City: Manchester, Fixed Schedule: Day 13 - 14.\n* City: Reykjavik, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Istanbul, Venice, Dubrovnik, Nice] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 12).\n |- The departure day of Valencia is Day 5. The arrival day of Athens is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Venice, Dubrovnik, Nice] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Valencia to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 12).\n |- The departure day of Istanbul is Day 2. The arrival day of Athens is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, Dubrovnik, Nice] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Istanbul to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 9 - 12).\n   |- The departure day of Valencia is Day 6. The arrival day of Athens is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Dubrovnik, Nice] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 9 - 12).\n   |- The departure day of Venice is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik, Nice] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Venice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Venice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Venice to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 9 - 12).\n     |- The departure day of Nice is Day 6. The arrival day of Athens is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Venice, Nice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Nice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 9 - 12).\n   |- The departure day of Nice is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Nice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Nice to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Nice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 12).\n |- The departure day of Venice is Day 3. The arrival day of Athens is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Istanbul, Dubrovnik, Nice] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Venice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 9 - 12).\n   |- The departure day of Nice is Day 5. The arrival day of Athens is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Istanbul, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Nice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Nice to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Nice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 9 - 12).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Athens is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Istanbul, Venice, Nice] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 9 - 12).\n   |- The departure day of Istanbul is Day 5. The arrival day of Athens is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Venice, Nice] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Istanbul to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 9 - 12).\n     |- The departure day of Valencia is Day 9. The arrival day of Athens is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Istanbul, Valencia].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Valencia to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 12 - 13).\n       |- The departure day of Athens is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Istanbul, Valencia, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 13 - 14).\n         |- The departure day of Riga is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Istanbul, Valencia, Athens, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 18 - 20).\n           |- The departure day of Manchester is Day 14. The arrival day of Reykjavik is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dubrovnik, Istanbul, Valencia, Athens, Riga, Manchester].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Nice] and explore these options in order.\n             |- Try arranging to visit Venice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Manchester to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 18 - 20).\n             |- The departure day of Venice is Day 16. The arrival day of Reykjavik is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Dubrovnik, Istanbul, Valencia, Athens, Riga, Manchester, Venice].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n               |- Try arranging to visit Nice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Venice to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Reykjavik (Day 18 - 20).\n               |- The departure day of Nice is Day 18. The arrival day of Reykjavik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Dubrovnik, Istanbul, Valencia, Athens, Riga, Manchester, Venice, Nice].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Reykjavik.\n                 |- Try arranging to visit Reykjavik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Nice to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Dubrovnik, Istanbul, Valencia, Athens, Riga, Manchester, Venice, Nice, Reykjavik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Valencia.\n**Day 5-9:** Visit Valencia for 5 days.\n**Day 9:** Fly from Valencia to Athens.\n**Day 9-12:** Visit Athens for 4 days.\n**Day 12:** Fly from Athens to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Venice.\n**Day 14-16:** Visit Venice for 3 days.\n**Day 16:** Fly from Venice to Nice.\n**Day 16-18:** Visit Nice for 3 days.\n**Day 18:** Fly from Nice to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Stuttgart**Rome**Hamburg**Porto**Istanbul**Vilnius**Amsterdam**Warsaw",
    "ground_truth_durations": "4**3**2**2**5**3**4**4**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 17,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You want to spend 2 days in Rome. You would like to meet your friends at Rome between day 6 and day 7 to tour together. You would like to visit Istanbul for 3 days. You plan to stay in Porto for 5 days. You would like to visit Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 1 and day 4. You want to spend 2 days in Hamburg. You want to spend 4 days in Vilnius. You plan to stay in Warsaw for 2 days. You plan to visit relatives in Warsaw between day 20 and day 21. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 17 and day 20.\n\nHere are the cities that have direct flights:\nStuttgart and Istanbul, Istanbul and Amsterdam, Porto and Warsaw, Stuttgart and Rome, Vilnius and Warsaw, Hamburg and Warsaw, Hamburg and Istanbul, Rome and Hamburg, Reykjavik and Rome, Istanbul and Vilnius, Rome and Istanbul, Rome and Warsaw, from Reykjavik to Stuttgart, Reykjavik and Amsterdam, Porto and Amsterdam, Vilnius and Amsterdam, Stuttgart and Porto, Reykjavik and Warsaw, Hamburg and Porto, Stuttgart and Hamburg, Amsterdam and Warsaw, Istanbul and Warsaw, Rome and Amsterdam, Stuttgart and Amsterdam, Porto and Istanbul, Stuttgart and Warsaw, Hamburg and Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 3 days. You want to spend 2 days in Rome. You would like to meet your friends at Rome between day 6 and day 7 to tour together. You would like to visit Istanbul for 3 days. You plan to stay in Porto for 5 days. You would like to visit Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 1 and day 4. You want to spend 2 days in Hamburg. You want to spend 4 days in Vilnius. You plan to stay in Warsaw for 2 days. You plan to visit relatives in Warsaw between day 20 and day 21. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 17 and day 20.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Istanbul, from Istanbul to Amsterdam, from Porto to Warsaw, from Stuttgart to Rome, from Vilnius to Warsaw, from Hamburg to Warsaw, from Hamburg to Istanbul, from Rome to Hamburg, from Reykjavik to Rome, from Istanbul to Vilnius, from Rome to Istanbul, from Rome to Warsaw, from Reykjavik to Stuttgart, from Reykjavik to Amsterdam, from Porto to Amsterdam, from Vilnius to Amsterdam, from Stuttgart to Porto, from Reykjavik to Warsaw, from Hamburg to Porto, from Stuttgart to Hamburg, from Amsterdam to Warsaw, from Istanbul to Warsaw, from Rome to Amsterdam, from Stuttgart to Amsterdam, from Porto to Istanbul, from Stuttgart to Warsaw, from Hamburg to Amsterdam.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-6:** Visit Stuttgart for 3 days.\n**Day 6:** Fly from Stuttgart to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Amsterdam.\n**Day 17-20:** Visit Amsterdam for 4 days.\n**Day 20:** Fly from Amsterdam to Warsaw.\n**Day 20-21:** Visit Warsaw for 2 days.",
    "id": "trip_planning_example_1236",
    "estimated_output_tokens": 3543,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Istanbul, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 6 - 7.\n* City: Amsterdam, Fixed Schedule: Day 17 - 20.\n* City: Warsaw, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 6 - 7).\n |- The departure day of Reykjavik is Day 4. The arrival day of Rome is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Istanbul, Porto, Hamburg, Vilnius] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 6 - 7).\n   |- The departure day of Stuttgart is Day 6. The arrival day of Rome is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stuttgart to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 17 - 20).\n     |- The departure day of Rome is Day 7. The arrival day of Amsterdam is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Reykjavik, Stuttgart, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Porto, Hamburg, Vilnius] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 17 - 20).\n       |- The departure day of Istanbul is Day 9. The arrival day of Amsterdam is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Stuttgart, Rome, Istanbul].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Hamburg, Vilnius] and explore these options in order.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Istanbul to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Istanbul to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Istanbul to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 17 - 20).\n         |- The departure day of Vilnius is Day 12. The arrival day of Amsterdam is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Reykjavik, Stuttgart, Rome, Istanbul, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Hamburg] and explore these options in order.\n           |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Vilnius to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 17 - 20).\n       |- The departure day of Hamburg is Day 8. The arrival day of Amsterdam is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Porto, Vilnius] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Hamburg to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 17 - 20).\n         |- The departure day of Istanbul is Day 10. The arrival day of Amsterdam is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Istanbul].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Vilnius] and explore these options in order.\n           |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Istanbul to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Istanbul to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 17 - 20).\n           |- The departure day of Vilnius is Day 13. The arrival day of Amsterdam is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Istanbul, Vilnius].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Vilnius to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Hamburg to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 17 - 20).\n         |- The departure day of Porto is Day 12. The arrival day of Amsterdam is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Porto].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Porto to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 17 - 20).\n           |- The departure day of Istanbul is Day 14. The arrival day of Amsterdam is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Porto, Istanbul].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Istanbul to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 17 - 20).\n             |- The departure day of Vilnius is Day 17. The arrival day of Amsterdam is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Porto, Istanbul, Vilnius].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Vilnius to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Warsaw (Day 20 - 21).\n               |- The departure day of Amsterdam is Day 20. The arrival day of Warsaw is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Porto, Istanbul, Vilnius, Amsterdam].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Amsterdam to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Reykjavik, Stuttgart, Rome, Hamburg, Porto, Istanbul, Vilnius, Amsterdam, Warsaw].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Stuttgart.\n**Day 4-6:** Visit Stuttgart for 3 days.\n**Day 6:** Fly from Stuttgart to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Istanbul.\n**Day 12-14:** Visit Istanbul for 3 days.\n**Day 14:** Fly from Istanbul to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Amsterdam.\n**Day 17-20:** Visit Amsterdam for 4 days.\n**Day 20:** Fly from Amsterdam to Warsaw.\n**Day 20-21:** Visit Warsaw for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Amsterdam**Venice**Paris**Riga**Munich**Valencia**Istanbul**Salzburg",
    "ground_truth_durations": "3**5**2**3**2**5**4**2**2",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Paris",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Paris. You would like to visit Salzburg for 2 days. You plan to stay in Riga for 2 days. You want to spend 3 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 1 and day 3. You plan to stay in Istanbul for 2 days. You plan to visit relatives in Istanbul between day 18 and day 19. You would like to visit Munich for 5 days. From day 11 to day 15, there is a annual show you want to attend in Munich. You would like to visit Amsterdam for 5 days. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 7 and day 8. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Munich, Munich and Valencia, Amsterdam and Venice, Amsterdam and Paris, Amsterdam and Munich, Paris and Istanbul, Valencia and Istanbul, Amsterdam and Istanbul, Dubrovnik and Amsterdam, Munich and Istanbul, from Dubrovnik to Istanbul, from Riga to Munich, Venice and Munich, Paris and Riga, Amsterdam and Valencia, Amsterdam and Riga, Istanbul and Salzburg, Riga and Istanbul, Paris and Valencia, Venice and Istanbul, Venice and Paris, Paris and Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Paris. You would like to visit Salzburg for 2 days. You plan to stay in Riga for 2 days. You want to spend 3 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 1 and day 3. You plan to stay in Istanbul for 2 days. You plan to visit relatives in Istanbul between day 18 and day 19. You would like to visit Munich for 5 days. From day 11 to day 15, there is a annual show you want to attend in Munich. You would like to visit Amsterdam for 5 days. You would like to visit Venice for 2 days. You have to attend a workshop in Venice between day 7 and day 8. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Munich, from Munich to Valencia, from Amsterdam to Venice, from Amsterdam to Paris, from Amsterdam to Munich, from Paris to Istanbul, from Valencia to Istanbul, from Amsterdam to Istanbul, from Dubrovnik to Amsterdam, from Munich to Istanbul, from Dubrovnik to Istanbul, from Riga to Munich, from Venice to Munich, from Paris to Riga, from Amsterdam to Valencia, from Amsterdam to Riga, from Istanbul to Salzburg, from Riga to Istanbul, from Paris to Valencia, from Venice to Istanbul, from Venice to Paris, from Paris to Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Riga.\n**Day 10-11:** Visit Riga for 2 days.\n**Day 11:** Fly from Riga to Munich.\n**Day 11-15:** Visit Munich for 5 days.\n**Day 15:** Fly from Munich to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Istanbul.\n**Day 18-19:** Visit Istanbul for 2 days.\n**Day 19:** Fly from Istanbul to Salzburg.\n**Day 19-20:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1237",
    "estimated_output_tokens": 2510,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Amsterdam, Duration: 5 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 7 - 8.\n* City: Munich, Fixed Schedule: Day 11 - 15.\n* City: Istanbul, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 8).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Venice is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Salzburg, Riga, Amsterdam, Valencia] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 7 - 8).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 11 - 15).\n     |- The departure day of Venice is Day 8. The arrival day of Munich is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Amsterdam, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Salzburg, Riga, Valencia] and explore these options in order.\n       |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 11 - 15).\n       |- The departure day of Paris is Day 10. The arrival day of Munich is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Amsterdam, Venice, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Riga, Valencia] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Paris to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Paris to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Munich (Day 11 - 15).\n         |- The departure day of Riga is Day 11. The arrival day of Munich is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Amsterdam, Venice, Paris, Riga].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Riga to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 18 - 19).\n           |- The departure day of Munich is Day 15. The arrival day of Istanbul is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dubrovnik, Amsterdam, Venice, Paris, Riga, Munich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Munich to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Munich to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 18 - 19).\n             |- The departure day of Valencia is Day 18. The arrival day of Istanbul is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Dubrovnik, Amsterdam, Venice, Paris, Riga, Munich, Valencia].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Valencia to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Dubrovnik, Amsterdam, Venice, Paris, Riga, Munich, Valencia, Istanbul].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Istanbul to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Dubrovnik, Amsterdam, Venice, Paris, Riga, Munich, Valencia, Istanbul, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Venice.\n**Day 7-8:** Visit Venice for 2 days.\n**Day 8:** Fly from Venice to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Riga.\n**Day 10-11:** Visit Riga for 2 days.\n**Day 11:** Fly from Riga to Munich.\n**Day 11-15:** Visit Munich for 5 days.\n**Day 15:** Fly from Munich to Valencia.\n**Day 15-18:** Visit Valencia for 4 days.\n**Day 18:** Fly from Valencia to Istanbul.\n**Day 18-19:** Visit Istanbul for 2 days.\n**Day 19:** Fly from Istanbul to Salzburg.\n**Day 19-20:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Munich**Copenhagen**Santorini**Oslo**Lyon**Valencia**Frankfurt**Vilnius",
    "ground_truth_durations": "5**4**2**5**3**3**4**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 23,
        "end_day": 24
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Lyon",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 3 days. From day 13 to day 15, there is a annual show you want to attend in Oslo. You would like to visit Porto for 5 days. You have to attend a workshop in Porto between day 1 and day 5. You want to spend 4 days in Munich. You plan to stay in Santorini for 5 days. You would like to visit Copenhagen for 2 days. You want to spend 4 days in Frankfurt. You would like to visit Valencia for 4 days. During day 17 and day 20, you have to attend a conference in Valencia. You would like to visit Lyon for 3 days. You would like to visit Vilnius for 2 days. You want to meet a friend in Vilnius between day 23 and day 24.\n\nHere are the cities that have direct flights:\nValencia and Frankfurt, Munich and Lyon, Porto and Oslo, Porto and Munich, from Vilnius to Munich, Copenhagen and Frankfurt, Munich and Copenhagen, Copenhagen and Vilnius, Copenhagen and Oslo, Oslo and Vilnius, Porto and Frankfurt, Oslo and Frankfurt, Porto and Valencia, Copenhagen and Santorini, Oslo and Lyon, Munich and Frankfurt, Munich and Valencia, from Santorini to Oslo, Frankfurt and Vilnius, Porto and Copenhagen, Munich and Oslo, Copenhagen and Valencia, Lyon and Valencia, Porto and Lyon, Lyon and Frankfurt.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Oslo for 3 days. From day 13 to day 15, there is a annual show you want to attend in Oslo. You would like to visit Porto for 5 days. You have to attend a workshop in Porto between day 1 and day 5. You want to spend 4 days in Munich. You plan to stay in Santorini for 5 days. You would like to visit Copenhagen for 2 days. You want to spend 4 days in Frankfurt. You would like to visit Valencia for 4 days. During day 17 and day 20, you have to attend a conference in Valencia. You would like to visit Lyon for 3 days. You would like to visit Vilnius for 2 days. You want to meet a friend in Vilnius between day 23 and day 24.\n\nHere are the cities that have direct flights:\nfrom Valencia to Frankfurt, from Munich to Lyon, from Porto to Oslo, from Porto to Munich, from Vilnius to Munich, from Copenhagen to Frankfurt, from Munich to Copenhagen, from Copenhagen to Vilnius, from Copenhagen to Oslo, from Oslo to Vilnius, from Porto to Frankfurt, from Oslo to Frankfurt, from Porto to Valencia, from Copenhagen to Santorini, from Oslo to Lyon, from Munich to Frankfurt, from Munich to Valencia, from Santorini to Oslo, from Frankfurt to Vilnius, from Porto to Copenhagen, from Munich to Oslo, from Copenhagen to Valencia, from Lyon to Valencia, from Porto to Lyon, from Lyon to Frankfurt.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-20:** Visit Valencia for 4 days.\n**Day 20:** Fly from Valencia to Frankfurt.\n**Day 20-23:** Visit Frankfurt for 4 days.\n**Day 23:** Fly from Frankfurt to Vilnius.\n**Day 23-24:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1238",
    "estimated_output_tokens": 2470,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Lyon, Duration: 3 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 5.\n* City: Oslo, Fixed Schedule: Day 13 - 15.\n* City: Valencia, Fixed Schedule: Day 17 - 20.\n* City: Vilnius, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 13 - 15).\n |- The departure day of Porto is Day 5. The arrival day of Oslo is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Santorini, Copenhagen, Frankfurt, Lyon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 13 - 15).\n   |- The departure day of Munich is Day 8. The arrival day of Oslo is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen, Frankfurt, Lyon] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Munich to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 13 - 15).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Oslo is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Munich, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Frankfurt, Lyon] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Copenhagen to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 13 - 15).\n       |- The departure day of Santorini is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Munich, Copenhagen, Santorini].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 17 - 20).\n         |- The departure day of Oslo is Day 15. The arrival day of Valencia is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Munich, Copenhagen, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Oslo to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 17 - 20).\n           |- The departure day of Frankfurt is Day 18. The arrival day of Valencia is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Oslo to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 17 - 20).\n           |- The departure day of Lyon is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Munich, Copenhagen, Santorini, Oslo, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 23 - 24).\n             |- The departure day of Valencia is Day 20. The arrival day of Vilnius is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Munich, Copenhagen, Santorini, Oslo, Lyon, Valencia].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Valencia to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 23 - 24).\n               |- The departure day of Frankfurt is Day 23. The arrival day of Vilnius is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Porto, Munich, Copenhagen, Santorini, Oslo, Lyon, Valencia, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Frankfurt to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Porto, Munich, Copenhagen, Santorini, Oslo, Lyon, Valencia, Frankfurt, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Copenhagen.\n**Day 8-9:** Visit Copenhagen for 2 days.\n**Day 9:** Fly from Copenhagen to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-20:** Visit Valencia for 4 days.\n**Day 20:** Fly from Valencia to Frankfurt.\n**Day 20-23:** Visit Frankfurt for 4 days.\n**Day 23:** Fly from Frankfurt to Vilnius.\n**Day 23-24:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Warsaw**Porto**Seville**Vienna**Santorini**Copenhagen**Tallinn",
    "ground_truth_durations": "2**4**3**5**5**3**2**5**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 22,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Copenhagen"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to spend 4 days in Venice. You plan to stay in Berlin for 2 days. You have to attend a workshop in Berlin between day 1 and day 2. You would like to visit Santorini for 2 days. You would like to visit Seville for 5 days. You plan to stay in Warsaw for 3 days. From day 5 to day 7, there is a annual show you want to attend in Warsaw. You plan to stay in Vienna for 3 days. You would like to visit Porto for 5 days. You want to spend 4 days in Tallinn. You plan to visit relatives in Tallinn between day 22 and day 25.\n\nHere are the cities that have direct flights:\nVenice and Copenhagen, Berlin and Vienna, Warsaw and Vienna, Berlin and Warsaw, Venice and Warsaw, Warsaw and Copenhagen, Warsaw and Tallinn, Berlin and Tallinn, Vienna and Copenhagen, Venice and Santorini, Santorini and Copenhagen, Warsaw and Porto, Porto and Seville, Berlin and Porto, Porto and Copenhagen, Berlin and Venice, Vienna and Santorini, Porto and Vienna, Seville and Vienna, Berlin and Copenhagen, Venice and Vienna, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to spend 4 days in Venice. You plan to stay in Berlin for 2 days. You have to attend a workshop in Berlin between day 1 and day 2. You would like to visit Santorini for 2 days. You would like to visit Seville for 5 days. You plan to stay in Warsaw for 3 days. From day 5 to day 7, there is a annual show you want to attend in Warsaw. You plan to stay in Vienna for 3 days. You would like to visit Porto for 5 days. You want to spend 4 days in Tallinn. You plan to visit relatives in Tallinn between day 22 and day 25.\n\nHere are the cities that have direct flights:\nfrom Venice to Copenhagen, from Berlin to Vienna, from Warsaw to Vienna, from Berlin to Warsaw, from Venice to Warsaw, from Warsaw to Copenhagen, from Warsaw to Tallinn, from Berlin to Tallinn, from Vienna to Copenhagen, from Venice to Santorini, from Santorini to Copenhagen, from Warsaw to Porto, from Porto to Seville, from Berlin to Porto, from Porto to Copenhagen, from Berlin to Venice, from Vienna to Santorini, from Porto to Vienna, from Seville to Vienna, from Berlin to Copenhagen, from Venice to Vienna, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Warsaw.\n**Day 5-7:** Visit Warsaw for 3 days.\n**Day 7:** Fly from Warsaw to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Vienna.\n**Day 15-17:** Visit Vienna for 3 days.\n**Day 17:** Fly from Vienna to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.\n**Day 22:** Fly from Copenhagen to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1239",
    "estimated_output_tokens": 5025,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Vienna, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 2.\n* City: Warsaw, Fixed Schedule: Day 5 - 7.\n* City: Tallinn, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 5 days.\n* City: Venice, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Vienna, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 5 - 7).\n |- The departure day of Berlin is Day 2. The arrival day of Warsaw is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice, Santorini, Seville, Vienna, Porto] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 5 - 7).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Warsaw is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 5 - 7).\n   |- The departure day of Venice is Day 5. The arrival day of Warsaw is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Warsaw.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 22 - 25).\n     |- The departure day of Warsaw is Day 7. The arrival day of Tallinn is Day 22. Day 7 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Venice, Warsaw].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini, Seville, Vienna, Porto] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 22 - 25).\n       |- The departure day of Copenhagen is Day 11. The arrival day of Tallinn is Day 22. Day 11 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Venice, Warsaw, Copenhagen].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Vienna, Porto] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Copenhagen to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Copenhagen to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Copenhagen to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Copenhagen to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Warsaw to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 22 - 25).\n       |- The departure day of Vienna is Day 9. The arrival day of Tallinn is Day 22. Day 9 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Venice, Warsaw, Vienna].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini, Seville, Porto] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Vienna to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 22 - 25).\n         |- The departure day of Copenhagen is Day 13. The arrival day of Tallinn is Day 22. Day 13 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Venice, Warsaw, Vienna, Copenhagen].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Porto] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Copenhagen to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Copenhagen to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Copenhagen to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Vienna to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 22 - 25).\n         |- The departure day of Santorini is Day 10. The arrival day of Tallinn is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Berlin, Venice, Warsaw, Vienna, Santorini].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Seville, Porto] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Santorini to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 22 - 25).\n           |- The departure day of Copenhagen is Day 14. The arrival day of Tallinn is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Berlin, Venice, Warsaw, Vienna, Santorini, Copenhagen].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Porto] and explore these options in order.\n             |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Copenhagen to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Copenhagen to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Santorini to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Santorini to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Vienna to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Vienna to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 22 - 25).\n       |- The departure day of Porto is Day 11. The arrival day of Tallinn is Day 22. Day 11 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Venice, Warsaw, Porto].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini, Seville, Vienna] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 22 - 25).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Tallinn is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Berlin, Venice, Warsaw, Porto, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Seville, Vienna] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Copenhagen to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Copenhagen to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Copenhagen to Vienna.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Porto to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 22 - 25).\n         |- The departure day of Seville is Day 15. The arrival day of Tallinn is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Berlin, Venice, Warsaw, Porto, Seville].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini, Vienna] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Seville to Copenhagen.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Seville to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Seville to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 22 - 25).\n           |- The departure day of Vienna is Day 17. The arrival day of Tallinn is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Venice, Warsaw, Porto, Seville, Vienna].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Santorini] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Vienna to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 22 - 25).\n             |- The departure day of Copenhagen is Day 21. The arrival day of Tallinn is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Berlin, Venice, Warsaw, Porto, Seville, Vienna, Copenhagen].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Copenhagen to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Vienna to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 22 - 25).\n             |- The departure day of Santorini is Day 18. The arrival day of Tallinn is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Berlin, Venice, Warsaw, Porto, Seville, Vienna, Santorini].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n               |- Try arranging to visit Copenhagen from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Santorini to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Tallinn (Day 22 - 25).\n               |- The departure day of Copenhagen is Day 22. The arrival day of Tallinn is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Berlin, Venice, Warsaw, Porto, Seville, Vienna, Santorini, Copenhagen].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Copenhagen to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Berlin, Venice, Warsaw, Porto, Seville, Vienna, Santorini, Copenhagen, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Warsaw.\n**Day 5-7:** Visit Warsaw for 3 days.\n**Day 7:** Fly from Warsaw to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Vienna.\n**Day 15-17:** Visit Vienna for 3 days.\n**Day 17:** Fly from Vienna to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.\n**Day 22:** Fly from Copenhagen to Tallinn.\n**Day 22-25:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Manchester**Split**Athens**Riga**Edinburgh**Seville**Brussels**Bucharest",
    "ground_truth_durations": "2**4**4**3**5**3**4**3**4",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Brussels"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Manchester",
        "Seville"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Manchester",
        "Athens"
      ],
      [
        "Athens",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. During day 1 and day 2, you have to attend a conference in Dubrovnik. You would like to visit Riga for 5 days. You would like to visit Manchester for 4 days. You want to spend 4 days in Split. You would like to meet your friends at Split between day 5 and day 8 to tour together. You plan to stay in Athens for 3 days. You would like to visit Seville for 4 days. You want to spend 4 days in Bucharest. You want to spend 3 days in Edinburgh. From day 14 to day 16, there is a annual show you want to attend in Edinburgh. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nRiga and Brussels, Dubrovnik and Manchester, Manchester and Riga, from Manchester to Split, Manchester and Bucharest, Seville and Brussels, Edinburgh and Brussels, Manchester and Seville, Dubrovnik and Athens, Athens and Brussels, Brussels and Bucharest, Riga and Edinburgh, Riga and Bucharest, Manchester and Brussels, Split and Athens, Athens and Edinburgh, from Athens to Riga, Edinburgh and Seville, Manchester and Athens, Athens and Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. During day 1 and day 2, you have to attend a conference in Dubrovnik. You would like to visit Riga for 5 days. You would like to visit Manchester for 4 days. You want to spend 4 days in Split. You would like to meet your friends at Split between day 5 and day 8 to tour together. You plan to stay in Athens for 3 days. You would like to visit Seville for 4 days. You want to spend 4 days in Bucharest. You want to spend 3 days in Edinburgh. From day 14 to day 16, there is a annual show you want to attend in Edinburgh. You plan to stay in Brussels for 3 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Brussels, from Dubrovnik to Manchester, from Manchester to Riga, from Manchester to Split, from Manchester to Bucharest, from Seville to Brussels, from Edinburgh to Brussels, from Manchester to Seville, from Dubrovnik to Athens, from Athens to Brussels, from Brussels to Bucharest, from Riga to Edinburgh, from Riga to Bucharest, from Manchester to Brussels, from Split to Athens, from Athens to Edinburgh, from Athens to Riga, from Edinburgh to Seville, from Manchester to Athens, from Athens to Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Manchester.\n**Day 2-5:** Visit Manchester for 4 days.\n**Day 5:** Fly from Manchester to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Seville.\n**Day 16-19:** Visit Seville for 4 days.\n**Day 19:** Fly from Seville to Brussels.\n**Day 19-21:** Visit Brussels for 3 days.\n**Day 21:** Fly from Brussels to Bucharest.\n**Day 21-24:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_1240",
    "estimated_output_tokens": 2357,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Riga, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Athens, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Brussels, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 2.\n* City: Split, Fixed Schedule: Day 5 - 8.\n* City: Edinburgh, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Seville, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Brussels, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 8).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Split is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Athens, Seville, Bucharest, Brussels] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 5 - 8).\n   |- The departure day of Manchester is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 14 - 16).\n     |- The departure day of Split is Day 8. The arrival day of Edinburgh is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Manchester, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Seville, Bucharest, Brussels] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Split to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Split to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Edinburgh (Day 14 - 16).\n       |- The departure day of Athens is Day 10. The arrival day of Edinburgh is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Manchester, Split, Athens].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Seville, Bucharest, Brussels] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Edinburgh (Day 14 - 16).\n         |- The departure day of Riga is Day 14. The arrival day of Edinburgh is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Manchester, Split, Athens, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Manchester, Split, Athens, Riga, Edinburgh].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Brussels] and explore these options in order.\n             |- Try arranging to visit Seville from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Edinburgh to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dubrovnik, Manchester, Split, Athens, Riga, Edinburgh, Seville].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Brussels] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Seville to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Brussels from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Seville to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Dubrovnik, Manchester, Split, Athens, Riga, Edinburgh, Seville, Brussels].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Brussels to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Dubrovnik, Manchester, Split, Athens, Riga, Edinburgh, Seville, Brussels, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Manchester.\n**Day 2-5:** Visit Manchester for 4 days.\n**Day 5:** Fly from Manchester to Split.\n**Day 5-8:** Visit Split for 4 days.\n**Day 8:** Fly from Split to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Seville.\n**Day 16-19:** Visit Seville for 4 days.\n**Day 19:** Fly from Seville to Brussels.\n**Day 19-21:** Visit Brussels for 3 days.\n**Day 21:** Fly from Brussels to Bucharest.\n**Day 21-24:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Edinburgh**Brussels**Zurich**Mykonos**Amsterdam**Stuttgart**Split**Vilnius",
    "ground_truth_durations": "3**4**2**3**3**3**5**3**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 3,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You plan to stay in Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 19 and day 21. You would like to visit Mykonos for 3 days. You want to spend 3 days in Amsterdam. You plan to stay in Hamburg for 3 days. You want to meet a friend in Hamburg between day 1 and day 3. You want to spend 3 days in Zurich. You want to spend 2 days in Brussels. You plan to stay in Split for 3 days. During day 17 and day 19, you have to attend a conference in Split. You would like to visit Edinburgh for 4 days. From day 3 to day 6, there is a annual show you want to attend in Edinburgh.\n\nHere are the cities that have direct flights:\nAmsterdam and Stuttgart, Hamburg and Stuttgart, Mykonos and Amsterdam, Brussels and Zurich, Zurich and Split, Edinburgh and Amsterdam, Stuttgart and Split, Amsterdam and Vilnius, Brussels and Vilnius, Split and Vilnius, Edinburgh and Stuttgart, Zurich and Vilnius, Hamburg and Split, Zurich and Mykonos, Hamburg and Brussels, Zurich and Amsterdam, Hamburg and Amsterdam, Amsterdam and Split, Hamburg and Edinburgh, Hamburg and Zurich, Edinburgh and Brussels, Edinburgh and Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You plan to stay in Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 19 and day 21. You would like to visit Mykonos for 3 days. You want to spend 3 days in Amsterdam. You plan to stay in Hamburg for 3 days. You want to meet a friend in Hamburg between day 1 and day 3. You want to spend 3 days in Zurich. You want to spend 2 days in Brussels. You plan to stay in Split for 3 days. During day 17 and day 19, you have to attend a conference in Split. You would like to visit Edinburgh for 4 days. From day 3 to day 6, there is a annual show you want to attend in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Stuttgart, from Hamburg to Stuttgart, from Mykonos to Amsterdam, from Brussels to Zurich, from Zurich to Split, from Edinburgh to Amsterdam, from Stuttgart to Split, from Amsterdam to Vilnius, from Brussels to Vilnius, from Split to Vilnius, from Edinburgh to Stuttgart, from Zurich to Vilnius, from Hamburg to Split, from Zurich to Mykonos, from Hamburg to Brussels, from Zurich to Amsterdam, from Hamburg to Amsterdam, from Amsterdam to Split, from Hamburg to Edinburgh, from Hamburg to Zurich, from Edinburgh to Brussels, from Edinburgh to Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Edinburgh.\n**Day 3-6:** Visit Edinburgh for 4 days.\n**Day 6:** Fly from Edinburgh to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Amsterdam.\n**Day 11-13:** Visit Amsterdam for 3 days.\n**Day 13:** Fly from Amsterdam to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-19:** Visit Split for 3 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-21:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1241",
    "estimated_output_tokens": 5482,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Mykonos, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Zurich, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 3.\n* City: Edinburgh, Fixed Schedule: Day 3 - 6.\n* City: Split, Fixed Schedule: Day 17 - 19.\n* City: Vilnius, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 3 - 6).\n |- The departure day of Hamburg is Day 3. The arrival day of Edinburgh is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Hamburg to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 17 - 19).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Split is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Amsterdam, Zurich, Brussels] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Edinburgh to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 17 - 19).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Split is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Edinburgh, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Amsterdam, Zurich, Brussels] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stuttgart to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stuttgart to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stuttgart to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Edinburgh to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Edinburgh to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 17 - 19).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Split is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Edinburgh, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Zurich, Brussels] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 17 - 19).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Split is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Hamburg, Edinburgh, Amsterdam, Stuttgart].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich, Brussels] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Stuttgart to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Stuttgart to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Stuttgart to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Amsterdam to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Edinburgh to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 17 - 19).\n     |- The departure day of Zurich is Day 8. The arrival day of Split is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Edinburgh, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Amsterdam, Brussels] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Zurich to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 17 - 19).\n       |- The departure day of Mykonos is Day 10. The arrival day of Split is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Edinburgh, Zurich, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Amsterdam, Brussels] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Mykonos to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Mykonos to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 17 - 19).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Split is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Edinburgh, Zurich, Mykonos, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Brussels] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Amsterdam to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 17 - 19).\n           |- The departure day of Stuttgart is Day 16. The arrival day of Split is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Hamburg, Edinburgh, Zurich, Mykonos, Amsterdam, Stuttgart].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n             |- Try arranging to visit Brussels from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Stuttgart to Brussels.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Brussels from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Amsterdam to Brussels.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Mykonos to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Zurich to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 17 - 19).\n       |- The departure day of Amsterdam is Day 10. The arrival day of Split is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Edinburgh, Zurich, Amsterdam].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Brussels] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Amsterdam to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 17 - 19).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Split is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Hamburg, Edinburgh, Zurich, Amsterdam, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Brussels] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stuttgart to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Brussels from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stuttgart to Brussels.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Amsterdam to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Amsterdam to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Edinburgh to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 17 - 19).\n     |- The departure day of Brussels is Day 7. The arrival day of Split is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Edinburgh, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Amsterdam, Zurich] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Brussels to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 17 - 19).\n       |- The departure day of Zurich is Day 9. The arrival day of Split is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Edinburgh, Brussels, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Mykonos, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Zurich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 17 - 19).\n         |- The departure day of Mykonos is Day 11. The arrival day of Split is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Edinburgh, Brussels, Zurich, Mykonos].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Mykonos to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Mykonos to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 17 - 19).\n           |- The departure day of Amsterdam is Day 13. The arrival day of Split is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Hamburg, Edinburgh, Brussels, Zurich, Mykonos, Amsterdam].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Amsterdam to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 17 - 19).\n             |- The departure day of Stuttgart is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Hamburg, Edinburgh, Brussels, Zurich, Mykonos, Amsterdam, Stuttgart].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n               |- Try arranging to visit Split from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Stuttgart to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 19 - 21).\n               |- The departure day of Split is Day 19. The arrival day of Vilnius is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Hamburg, Edinburgh, Brussels, Zurich, Mykonos, Amsterdam, Stuttgart, Split].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Split to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Hamburg, Edinburgh, Brussels, Zurich, Mykonos, Amsterdam, Stuttgart, Split, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Edinburgh.\n**Day 3-6:** Visit Edinburgh for 4 days.\n**Day 6:** Fly from Edinburgh to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Amsterdam.\n**Day 11-13:** Visit Amsterdam for 3 days.\n**Day 13:** Fly from Amsterdam to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-19:** Visit Split for 3 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-21:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Prague**Copenhagen**Krakow**Valencia**Vienna**Split**Hamburg**Salzburg",
    "ground_truth_durations": "5**4**4**4**2**5**4**5**3",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Split"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Prague"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Geneva",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 11 and day 14. You plan to stay in Vienna for 5 days. You would like to visit Valencia for 2 days. You would like to visit Prague for 4 days. From day 5 to day 8, there is a annual show you want to attend in Prague. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Geneva. You are going to attend a wedding in Geneva between day 1 and day 5. You want to spend 4 days in Copenhagen. You have to attend a workshop in Copenhagen between day 8 and day 11. You want to spend 4 days in Split. You would like to visit Hamburg for 5 days.\n\nHere are the cities that have direct flights:\nGeneva and Split, Copenhagen and Valencia, Split and Hamburg, Prague and Split, Prague and Vienna, Krakow and Split, Hamburg and Salzburg, from Hamburg to Geneva, Geneva and Vienna, Prague and Copenhagen, Geneva and Prague, Copenhagen and Vienna, Copenhagen and Krakow, Valencia and Vienna, Vienna and Split, Krakow and Vienna, Copenhagen and Split, Vienna and Hamburg, Krakow and Valencia, Prague and Krakow, Copenhagen and Hamburg, Geneva and Valencia, Prague and Valencia, Geneva and Copenhagen.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 4 days. You want to meet a friend in Krakow between day 11 and day 14. You plan to stay in Vienna for 5 days. You would like to visit Valencia for 2 days. You would like to visit Prague for 4 days. From day 5 to day 8, there is a annual show you want to attend in Prague. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Geneva. You are going to attend a wedding in Geneva between day 1 and day 5. You want to spend 4 days in Copenhagen. You have to attend a workshop in Copenhagen between day 8 and day 11. You want to spend 4 days in Split. You would like to visit Hamburg for 5 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Split, from Copenhagen to Valencia, from Split to Hamburg, from Prague to Split, from Prague to Vienna, from Krakow to Split, from Hamburg to Salzburg, from Hamburg to Geneva, from Geneva to Vienna, from Prague to Copenhagen, from Geneva to Prague, from Copenhagen to Vienna, from Copenhagen to Krakow, from Valencia to Vienna, from Vienna to Split, from Krakow to Vienna, from Copenhagen to Split, from Vienna to Hamburg, from Krakow to Valencia, from Prague to Krakow, from Copenhagen to Hamburg, from Geneva to Valencia, from Prague to Valencia, from Geneva to Copenhagen.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Vienna.\n**Day 15-19:** Visit Vienna for 5 days.\n**Day 19:** Fly from Vienna to Split.\n**Day 19-22:** Visit Split for 4 days.\n**Day 22:** Fly from Split to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.\n**Day 26:** Fly from Hamburg to Salzburg.\n**Day 26-28:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1242",
    "estimated_output_tokens": 3767,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Vienna, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Salzburg, Duration: 3 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Split, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 5.\n* City: Prague, Fixed Schedule: Day 5 - 8.\n* City: Copenhagen, Fixed Schedule: Day 8 - 11.\n* City: Krakow, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Vienna, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Salzburg, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Geneva is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Geneva to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 8 - 11).\n   |- The departure day of Prague is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Geneva, Prague].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Prague to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 11 - 14).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Geneva, Prague, Copenhagen].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Copenhagen to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Prague, Copenhagen, Krakow].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Valencia, Salzburg, Split, Hamburg] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Krakow to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Salzburg, Split, Hamburg] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Vienna to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Vienna to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Vienna to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna, Split].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Salzburg, Hamburg] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Split to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Split to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Split to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna, Split, Hamburg].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Salzburg] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Hamburg to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Salzburg from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n               |- Check for direct flight from Hamburg to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna, Split, Hamburg, Salzburg].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                 |- Try arranging to visit Valencia from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                 |- Check for direct flight from Salzburg to Valencia.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Vienna to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna, Hamburg].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Salzburg, Split] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Hamburg to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Hamburg to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Geneva, Prague, Copenhagen, Krakow, Vienna, Hamburg, Salzburg].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Split] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Salzburg to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Split from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Salzburg to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Hamburg to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Krakow to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Prague, Copenhagen, Krakow, Valencia].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Salzburg, Split, Hamburg] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Valencia to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Prague, Copenhagen, Krakow, Valencia, Vienna].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Split, Hamburg] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Vienna to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Vienna to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Geneva, Prague, Copenhagen, Krakow, Valencia, Vienna, Split].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg, Hamburg] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Split to Salzburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Split to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Geneva, Prague, Copenhagen, Krakow, Valencia, Vienna, Split, Hamburg].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                 |- Check for direct flight from Hamburg to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Geneva, Prague, Copenhagen, Krakow, Valencia, Vienna, Split, Hamburg, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Vienna.\n**Day 15-19:** Visit Vienna for 5 days.\n**Day 19:** Fly from Vienna to Split.\n**Day 19-22:** Visit Split for 4 days.\n**Day 22:** Fly from Split to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.\n**Day 26:** Fly from Hamburg to Salzburg.\n**Day 26-28:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Krakow**Manchester**Paris**Lyon**Lisbon**Reykjavik**Budapest**Mykonos",
    "ground_truth_durations": "4**3**4**5**2**2**2**5**3",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 9,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Manchester",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. You plan to stay in Manchester for 4 days. You would like to visit Lisbon for 2 days. You would like to visit Reykjavik for 2 days. During day 15 and day 16, you have to attend a conference in Reykjavik. You want to spend 3 days in Krakow. You plan to stay in Valencia for 4 days. You plan to visit relatives in Valencia between day 1 and day 4. You plan to stay in Mykonos for 3 days. From day 20 to day 22, there is a annual show you want to attend in Mykonos. You would like to visit Lyon for 2 days. You would like to visit Paris for 5 days. You have to attend a workshop in Paris between day 9 and day 13.\n\nHere are the cities that have direct flights:\nParis and Lisbon, Valencia and Lyon, Paris and Lyon, Paris and Budapest, Paris and Reykjavik, Valencia and Krakow, Lyon and Lisbon, Budapest and Mykonos, Manchester and Lisbon, Lisbon and Budapest, Valencia and Lisbon, Krakow and Paris, Lisbon and Reykjavik, Manchester and Paris, Krakow and Lisbon, Valencia and Paris, Krakow and Manchester, Manchester and Budapest, Reykjavik and Budapest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. You plan to stay in Manchester for 4 days. You would like to visit Lisbon for 2 days. You would like to visit Reykjavik for 2 days. During day 15 and day 16, you have to attend a conference in Reykjavik. You want to spend 3 days in Krakow. You plan to stay in Valencia for 4 days. You plan to visit relatives in Valencia between day 1 and day 4. You plan to stay in Mykonos for 3 days. From day 20 to day 22, there is a annual show you want to attend in Mykonos. You would like to visit Lyon for 2 days. You would like to visit Paris for 5 days. You have to attend a workshop in Paris between day 9 and day 13.\n\nHere are the cities that have direct flights:\nfrom Paris to Lisbon, from Valencia to Lyon, from Paris to Lyon, from Paris to Budapest, from Paris to Reykjavik, from Valencia to Krakow, from Lyon to Lisbon, from Budapest to Mykonos, from Manchester to Lisbon, from Lisbon to Budapest, from Valencia to Lisbon, from Krakow to Paris, from Lisbon to Reykjavik, from Manchester to Paris, from Krakow to Lisbon, from Valencia to Paris, from Krakow to Manchester, from Manchester to Budapest, from Reykjavik to Budapest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Paris.\n**Day 9-13:** Visit Paris for 5 days.\n**Day 13:** Fly from Paris to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n**Day 16:** Fly from Reykjavik to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Mykonos.\n**Day 20-22:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1243",
    "estimated_output_tokens": 3647,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Lisbon, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Krakow, Duration: 3 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Lyon, Duration: 2 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 9 - 13.\n* City: Reykjavik, Fixed Schedule: Day 15 - 16.\n* City: Mykonos, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Budapest, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Lisbon, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 9 - 13).\n |- The departure day of Valencia is Day 4. The arrival day of Paris is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Lisbon, Krakow, Lyon] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 9 - 13).\n   |- The departure day of Lisbon is Day 5. The arrival day of Paris is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Krakow, Lyon] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 9 - 13).\n     |- The departure day of Budapest is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Lisbon, Budapest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lisbon to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 9 - 13).\n   |- The departure day of Krakow is Day 6. The arrival day of Paris is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Lisbon, Lyon] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Krakow to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 9 - 13).\n     |- The departure day of Manchester is Day 9. The arrival day of Paris is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Krakow, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 15 - 16).\n       |- The departure day of Paris is Day 13. The arrival day of Reykjavik is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Krakow, Manchester, Paris].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Lisbon, Lyon] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Paris to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 15 - 16).\n         |- The departure day of Budapest is Day 17. The arrival day of Reykjavik is Day 15. Day 17 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Paris to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 15 - 16).\n         |- The departure day of Lisbon is Day 14. The arrival day of Reykjavik is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Krakow, Manchester, Paris, Lisbon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Lyon] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lisbon to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 15 - 16).\n           |- The departure day of Budapest is Day 18. The arrival day of Reykjavik is Day 15. Day 18 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Lisbon to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Paris to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 15 - 16).\n         |- The departure day of Lyon is Day 14. The arrival day of Reykjavik is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Krakow, Manchester, Paris, Lyon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Lisbon] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lyon to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Lyon to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 15 - 16).\n           |- The departure day of Lisbon is Day 15. The arrival day of Reykjavik is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Krakow, Manchester, Paris, Lyon, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Lisbon to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 20 - 22).\n             |- The departure day of Reykjavik is Day 16. The arrival day of Mykonos is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Valencia, Krakow, Manchester, Paris, Lyon, Lisbon, Reykjavik].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n               |- Try arranging to visit Budapest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Reykjavik to Budapest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 20 - 22).\n               |- The departure day of Budapest is Day 20. The arrival day of Mykonos is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Valencia, Krakow, Manchester, Paris, Lyon, Lisbon, Reykjavik, Budapest].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Mykonos.\n                 |- Try arranging to visit Mykonos from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Budapest to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Valencia, Krakow, Manchester, Paris, Lyon, Lisbon, Reykjavik, Budapest, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Manchester.\n**Day 6-9:** Visit Manchester for 4 days.\n**Day 9:** Fly from Manchester to Paris.\n**Day 9-13:** Visit Paris for 5 days.\n**Day 13:** Fly from Paris to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n**Day 16:** Fly from Reykjavik to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Mykonos.\n**Day 20-22:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Edinburgh**Venice**Amsterdam**Tallinn**Helsinki**Dubrovnik**Istanbul**Bucharest",
    "ground_truth_durations": "2**3**2**5**3**5**3**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. You are going to attend a wedding in Amsterdam between day 5 and day 9. You plan to stay in Dubrovnik for 3 days. You want to spend 2 days in Milan. From day 1 to day 2, there is a annual show you want to attend in Milan. You would like to visit Tallinn for 3 days. You would like to visit Venice for 2 days. You would like to meet your friends at Venice between day 4 and day 5 to tour together. You want to spend 3 days in Istanbul. You would like to visit Bucharest for 4 days. You want to spend 3 days in Edinburgh. You want to spend 5 days in Helsinki. You plan to visit relatives in Helsinki between day 11 and day 15.\n\nHere are the cities that have direct flights:\nMilan and Edinburgh, Edinburgh and Amsterdam, Edinburgh and Helsinki, from Istanbul to Tallinn, Venice and Helsinki, Milan and Amsterdam, Venice and Istanbul, Edinburgh and Venice, Tallinn and Helsinki, Amsterdam and Bucharest, Amsterdam and Dubrovnik, Amsterdam and Helsinki, Helsinki and Istanbul, Amsterdam and Istanbul, Venice and Amsterdam, Helsinki and Dubrovnik, Edinburgh and Istanbul, Milan and Helsinki, from Dubrovnik to Istanbul, Amsterdam and Tallinn, Milan and Istanbul, Istanbul and Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. You are going to attend a wedding in Amsterdam between day 5 and day 9. You plan to stay in Dubrovnik for 3 days. You want to spend 2 days in Milan. From day 1 to day 2, there is a annual show you want to attend in Milan. You would like to visit Tallinn for 3 days. You would like to visit Venice for 2 days. You would like to meet your friends at Venice between day 4 and day 5 to tour together. You want to spend 3 days in Istanbul. You would like to visit Bucharest for 4 days. You want to spend 3 days in Edinburgh. You want to spend 5 days in Helsinki. You plan to visit relatives in Helsinki between day 11 and day 15.\n\nHere are the cities that have direct flights:\nfrom Milan to Edinburgh, from Edinburgh to Amsterdam, from Edinburgh to Helsinki, from Istanbul to Tallinn, from Venice to Helsinki, from Milan to Amsterdam, from Venice to Istanbul, from Edinburgh to Venice, from Tallinn to Helsinki, from Amsterdam to Bucharest, from Amsterdam to Dubrovnik, from Amsterdam to Helsinki, from Helsinki to Istanbul, from Amsterdam to Istanbul, from Venice to Amsterdam, from Helsinki to Dubrovnik, from Edinburgh to Istanbul, from Milan to Helsinki, from Dubrovnik to Istanbul, from Amsterdam to Tallinn, from Milan to Istanbul, from Istanbul to Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-17:** Visit Dubrovnik for 3 days.\n**Day 17:** Fly from Dubrovnik to Istanbul.\n**Day 17-19:** Visit Istanbul for 3 days.\n**Day 19:** Fly from Istanbul to Bucharest.\n**Day 19-22:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_1244",
    "estimated_output_tokens": 2854,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dubrovnik, Duration: 3 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Duration: 3 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Istanbul, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 4 - 5.\n* City: Amsterdam, Fixed Schedule: Day 5 - 9.\n* City: Helsinki, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 4 - 5).\n |- The departure day of Milan is Day 2. The arrival day of Venice is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn, Istanbul, Bucharest, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 4 - 5).\n   |- The departure day of Istanbul is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 4 - 5).\n   |- The departure day of Edinburgh is Day 4. The arrival day of Venice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 5 - 9).\n     |- The departure day of Venice is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Edinburgh, Venice].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Venice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 11 - 15).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Helsinki is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Edinburgh, Venice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn, Istanbul, Bucharest] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 11 - 15).\n         |- The departure day of Dubrovnik is Day 11. The arrival day of Helsinki is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Helsinki.\n           |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Dubrovnik to Helsinki.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 11 - 15).\n         |- The departure day of Tallinn is Day 11. The arrival day of Helsinki is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Helsinki.\n           |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Tallinn to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Tallinn, Helsinki].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul, Bucharest] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Helsinki to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Tallinn, Helsinki, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul, Bucharest] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Dubrovnik to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Tallinn, Helsinki, Dubrovnik, Istanbul].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Istanbul to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Milan, Edinburgh, Venice, Amsterdam, Tallinn, Helsinki, Dubrovnik, Istanbul, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Milan and visit Milan for 2 days.\n**Day 2:** Fly from Milan to Edinburgh.\n**Day 2-4:** Visit Edinburgh for 3 days.\n**Day 4:** Fly from Edinburgh to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Dubrovnik.\n**Day 15-17:** Visit Dubrovnik for 3 days.\n**Day 17:** Fly from Dubrovnik to Istanbul.\n**Day 17-19:** Visit Istanbul for 3 days.\n**Day 19:** Fly from Istanbul to Bucharest.\n**Day 19-22:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Naples**Warsaw**Krakow**Frankfurt**Florence**Prague**Riga**Hamburg",
    "ground_truth_durations": "3**2**3**3**3**3**4**4**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Naples",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You would like to visit Warsaw for 3 days. You plan to stay in Prague for 4 days. You want to meet a friend in Prague between day 12 and day 15. You want to spend 2 days in Naples. You plan to visit relatives in Naples between day 3 and day 4. You would like to visit Krakow for 3 days. You plan to stay in Barcelona for 3 days. During day 1 and day 3, you have to attend a conference in Barcelona. You would like to visit Florence for 3 days. You want to spend 2 days in Hamburg. You want to spend 4 days in Riga. You would like to meet your friends at Riga between day 15 and day 18 to tour together.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, Naples and Frankfurt, Barcelona and Naples, Barcelona and Riga, Frankfurt and Hamburg, Warsaw and Krakow, Warsaw and Riga, Florence and Prague, Frankfurt and Riga, Barcelona and Hamburg, Krakow and Frankfurt, Barcelona and Prague, Frankfurt and Florence, Barcelona and Krakow, Krakow and Prague, Barcelona and Frankfurt, Frankfurt and Prague, Warsaw and Hamburg, Barcelona and Florence, Warsaw and Prague, Barcelona and Warsaw, Warsaw and Frankfurt, Prague and Riga, Naples and Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Frankfurt. You would like to visit Warsaw for 3 days. You plan to stay in Prague for 4 days. You want to meet a friend in Prague between day 12 and day 15. You want to spend 2 days in Naples. You plan to visit relatives in Naples between day 3 and day 4. You would like to visit Krakow for 3 days. You plan to stay in Barcelona for 3 days. During day 1 and day 3, you have to attend a conference in Barcelona. You would like to visit Florence for 3 days. You want to spend 2 days in Hamburg. You want to spend 4 days in Riga. You would like to meet your friends at Riga between day 15 and day 18 to tour together.\n\nHere are the cities that have direct flights:\nfrom Riga to Hamburg, from Naples to Frankfurt, from Barcelona to Naples, from Barcelona to Riga, from Frankfurt to Hamburg, from Warsaw to Krakow, from Warsaw to Riga, from Florence to Prague, from Frankfurt to Riga, from Barcelona to Hamburg, from Krakow to Frankfurt, from Barcelona to Prague, from Frankfurt to Florence, from Barcelona to Krakow, from Krakow to Prague, from Barcelona to Frankfurt, from Frankfurt to Prague, from Warsaw to Hamburg, from Barcelona to Florence, from Warsaw to Prague, from Barcelona to Warsaw, from Warsaw to Frankfurt, from Prague to Riga, from Naples to Warsaw.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Naples.\n**Day 3-4:** Visit Naples for 2 days.\n**Day 4:** Fly from Naples to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Krakow.\n**Day 6-8:** Visit Krakow for 3 days.\n**Day 8:** Fly from Krakow to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Florence.\n**Day 10-12:** Visit Florence for 3 days.\n**Day 12:** Fly from Florence to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Riga.\n**Day 15-18:** Visit Riga for 4 days.\n**Day 18:** Fly from Riga to Hamburg.\n**Day 18-19:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_1245",
    "estimated_output_tokens": 4143,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Krakow, Duration: 3 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Florence, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 3.\n* City: Naples, Fixed Schedule: Day 3 - 4.\n* City: Prague, Fixed Schedule: Day 12 - 15.\n* City: Riga, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Florence, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 3 - 4).\n |- The departure day of Barcelona is Day 3. The arrival day of Naples is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 12 - 15).\n   |- The departure day of Naples is Day 4. The arrival day of Prague is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Naples].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Warsaw, Krakow, Florence, Hamburg] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Naples to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 12 - 15).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Prague is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Barcelona, Naples, Frankfurt].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Krakow, Florence, Hamburg] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 12 - 15).\n       |- The departure day of Florence is Day 8. The arrival day of Prague is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Naples, Frankfurt, Florence].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Krakow, Hamburg] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Florence to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Florence to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Florence to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Frankfurt to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 12 - 15).\n       |- The departure day of Hamburg is Day 7. The arrival day of Prague is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Barcelona, Naples, Frankfurt, Hamburg].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Krakow, Florence] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Hamburg to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Hamburg to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Hamburg to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Naples to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 12 - 15).\n     |- The departure day of Warsaw is Day 6. The arrival day of Prague is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Barcelona, Naples, Warsaw].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Krakow, Florence, Hamburg] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Warsaw to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 12 - 15).\n       |- The departure day of Frankfurt is Day 8. The arrival day of Prague is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Naples, Warsaw, Frankfurt].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Florence, Hamburg] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Frankfurt to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Frankfurt to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 12 - 15).\n         |- The departure day of Florence is Day 10. The arrival day of Prague is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Barcelona, Naples, Warsaw, Frankfurt, Florence].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Hamburg] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Florence to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Florence to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Frankfurt to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 12 - 15).\n         |- The departure day of Hamburg is Day 9. The arrival day of Prague is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Barcelona, Naples, Warsaw, Frankfurt, Hamburg].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Florence] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Hamburg to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Hamburg to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Warsaw to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 12 - 15).\n       |- The departure day of Krakow is Day 8. The arrival day of Prague is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Naples, Warsaw, Krakow].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Florence, Hamburg] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Krakow to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 12 - 15).\n         |- The departure day of Frankfurt is Day 10. The arrival day of Prague is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Barcelona, Naples, Warsaw, Krakow, Frankfurt].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Hamburg] and explore these options in order.\n           |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 12 - 15).\n           |- The departure day of Florence is Day 12. The arrival day of Prague is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Barcelona, Naples, Warsaw, Krakow, Frankfurt, Florence].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Prague.\n             |- Try arranging to visit Prague from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Florence to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 15 - 18).\n             |- The departure day of Prague is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Barcelona, Naples, Warsaw, Krakow, Frankfurt, Florence, Prague].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Prague to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Barcelona, Naples, Warsaw, Krakow, Frankfurt, Florence, Prague, Riga].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Riga to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Barcelona, Naples, Warsaw, Krakow, Frankfurt, Florence, Prague, Riga, Hamburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Naples.\n**Day 3-4:** Visit Naples for 2 days.\n**Day 4:** Fly from Naples to Warsaw.\n**Day 4-6:** Visit Warsaw for 3 days.\n**Day 6:** Fly from Warsaw to Krakow.\n**Day 6-8:** Visit Krakow for 3 days.\n**Day 8:** Fly from Krakow to Frankfurt.\n**Day 8-10:** Visit Frankfurt for 3 days.\n**Day 10:** Fly from Frankfurt to Florence.\n**Day 10-12:** Visit Florence for 3 days.\n**Day 12:** Fly from Florence to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Riga.\n**Day 15-18:** Visit Riga for 4 days.\n**Day 18:** Fly from Riga to Hamburg.\n**Day 18-19:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Prague**Lyon**Venice**Berlin**Copenhagen**Manchester**Athens**Mykonos",
    "ground_truth_durations": "3**3**2**2**3**3**5**2**2",
    "num_cities": 9,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Prague"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Dublin",
        "Copenhagen"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Manchester",
        "Athens"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Dublin",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. During day 9 and day 11, you have to attend a conference in Copenhagen. You would like to visit Prague for 3 days. You are going to attend a wedding in Prague between day 3 and day 5. You want to spend 5 days in Manchester. You plan to visit relatives in Manchester between day 11 and day 15. You plan to stay in Venice for 2 days. You plan to stay in Dublin for 3 days. You want to meet a friend in Dublin between day 1 and day 3. You plan to stay in Berlin for 3 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Mykonos. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nDublin and Prague, Lyon and Venice, Venice and Athens, Berlin and Manchester, Dublin and Manchester, Dublin and Copenhagen, Venice and Berlin, Venice and Copenhagen, Prague and Lyon, Berlin and Copenhagen, Athens and Mykonos, Prague and Copenhagen, Prague and Manchester, Copenhagen and Manchester, Dublin and Lyon, Berlin and Athens, Venice and Manchester, Dublin and Berlin, Manchester and Athens, Dublin and Venice, Copenhagen and Athens, Prague and Athens, Dublin and Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. During day 9 and day 11, you have to attend a conference in Copenhagen. You would like to visit Prague for 3 days. You are going to attend a wedding in Prague between day 3 and day 5. You want to spend 5 days in Manchester. You plan to visit relatives in Manchester between day 11 and day 15. You plan to stay in Venice for 2 days. You plan to stay in Dublin for 3 days. You want to meet a friend in Dublin between day 1 and day 3. You plan to stay in Berlin for 3 days. You would like to visit Lyon for 2 days. You want to spend 2 days in Mykonos. You want to spend 2 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Dublin to Prague, from Lyon to Venice, from Venice to Athens, from Berlin to Manchester, from Dublin to Manchester, from Dublin to Copenhagen, from Venice to Berlin, from Venice to Copenhagen, from Prague to Lyon, from Berlin to Copenhagen, from Athens to Mykonos, from Prague to Copenhagen, from Prague to Manchester, from Copenhagen to Manchester, from Dublin to Lyon, from Berlin to Athens, from Venice to Manchester, from Dublin to Berlin, from Manchester to Athens, from Dublin to Venice, from Copenhagen to Athens, from Prague to Athens, from Dublin to Athens.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 17 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Athens.\n**Day 15-16:** Visit Athens for 2 days.\n**Day 16:** Fly from Athens to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1246",
    "estimated_output_tokens": 2340,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Venice, Duration: 2 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Berlin, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 3 - 5.\n* City: Copenhagen, Fixed Schedule: Day 9 - 11.\n* City: Manchester, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 3 - 5).\n |- The departure day of Dublin is Day 3. The arrival day of Prague is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 9 - 11).\n   |- The departure day of Prague is Day 5. The arrival day of Copenhagen is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Berlin, Lyon, Mykonos, Athens] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 9 - 11).\n     |- The departure day of Lyon is Day 6. The arrival day of Copenhagen is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dublin, Prague, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Berlin, Mykonos, Athens] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 9 - 11).\n       |- The departure day of Venice is Day 7. The arrival day of Copenhagen is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dublin, Prague, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Athens] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Venice to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 9 - 11).\n         |- The departure day of Berlin is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Dublin, Prague, Lyon, Venice, Berlin].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Berlin to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 11 - 15).\n           |- The departure day of Copenhagen is Day 11. The arrival day of Manchester is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Dublin, Prague, Lyon, Venice, Berlin, Copenhagen].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Manchester.\n             |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Copenhagen to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Dublin, Prague, Lyon, Venice, Berlin, Copenhagen, Manchester].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Manchester to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Athens from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Manchester to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Dublin, Prague, Lyon, Venice, Berlin, Copenhagen, Manchester, Athens].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n                 |- Check for direct flight from Athens to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Dublin, Prague, Lyon, Venice, Berlin, Copenhagen, Manchester, Athens, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Copenhagen.\n**Day 9-11:** Visit Copenhagen for 3 days.\n**Day 11:** Fly from Copenhagen to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Athens.\n**Day 15-16:** Visit Athens for 2 days.\n**Day 16:** Fly from Athens to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Zurich**Mykonos**Nice**Hamburg**Frankfurt**Florence**Brussels**Seville",
    "ground_truth_durations": "2**4**4**3**5**5**4**2**2",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 22,
        "end_day": 23
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Nice",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You would like to visit Zurich for 4 days. You have to attend a workshop in Zurich between day 2 and day 5. You want to spend 2 days in Brussels. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Nice. You plan to stay in Hamburg for 5 days. You would like to visit Florence for 4 days. From day 18 to day 21, there is a annual show you want to attend in Florence. You plan to stay in Santorini for 2 days. You want to spend 2 days in Seville. You would like to meet your friends at Seville between day 22 and day 23 to tour together.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, Santorini and Zurich, Mykonos and Nice, Florence and Brussels, Nice and Brussels, Zurich and Hamburg, Nice and Frankfurt, Zurich and Brussels, Frankfurt and Florence, Hamburg and Frankfurt, Zurich and Nice, Hamburg and Brussels, Zurich and Frankfurt, Brussels and Seville, Zurich and Mykonos, from Zurich to Florence, Nice and Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You would like to visit Zurich for 4 days. You have to attend a workshop in Zurich between day 2 and day 5. You want to spend 2 days in Brussels. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Nice. You plan to stay in Hamburg for 5 days. You would like to visit Florence for 4 days. From day 18 to day 21, there is a annual show you want to attend in Florence. You plan to stay in Santorini for 2 days. You want to spend 2 days in Seville. You would like to meet your friends at Seville between day 22 and day 23 to tour together.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, from Santorini to Zurich, from Mykonos to Nice, from Florence to Brussels, from Nice to Brussels, from Zurich to Hamburg, from Nice to Frankfurt, from Zurich to Brussels, from Frankfurt to Florence, from Hamburg to Frankfurt, from Zurich to Nice, from Hamburg to Brussels, from Zurich to Frankfurt, from Brussels to Seville, from Zurich to Mykonos, from Zurich to Florence, from Nice to Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Zurich.\n**Day 2-5:** Visit Zurich for 4 days.\n**Day 5:** Fly from Zurich to Mykonos.\n**Day 5-8:** Visit Mykonos for 4 days.\n**Day 8:** Fly from Mykonos to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Hamburg.\n**Day 10-14:** Visit Hamburg for 5 days.\n**Day 14:** Fly from Hamburg to Frankfurt.\n**Day 14-18:** Visit Frankfurt for 5 days.\n**Day 18:** Fly from Frankfurt to Florence.\n**Day 18-21:** Visit Florence for 4 days.\n**Day 21:** Fly from Florence to Brussels.\n**Day 21-22:** Visit Brussels for 2 days.\n**Day 22:** Fly from Brussels to Seville.\n**Day 22-23:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1247",
    "estimated_output_tokens": 4268,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Brussels, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Santorini, Duration: 2 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 2 - 5.\n* City: Florence, Fixed Schedule: Day 18 - 21.\n* City: Seville, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Brussels, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Brussels, Frankfurt, Nice, Hamburg, Santorini] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Mykonos is Day 4. The arrival day of Zurich is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Brussels is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Frankfurt is Day 5. The arrival day of Zurich is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Nice is Day 3. The arrival day of Zurich is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Hamburg is Day 5. The arrival day of Zurich is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 5).\n |- The departure day of Santorini is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 18 - 21).\n   |- The departure day of Zurich is Day 5. The arrival day of Florence is Day 18. Day 5 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Brussels, Frankfurt, Nice, Hamburg] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 18 - 21).\n     |- The departure day of Mykonos is Day 8. The arrival day of Florence is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Zurich, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Nice, Hamburg] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Mykonos to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Mykonos to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Mykonos to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 18 - 21).\n       |- The departure day of Nice is Day 10. The arrival day of Florence is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Zurich, Mykonos, Nice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Hamburg] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Nice to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 21).\n         |- The departure day of Brussels is Day 11. The arrival day of Florence is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Zurich, Mykonos, Nice, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Hamburg] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Brussels to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 18 - 21).\n           |- The departure day of Frankfurt is Day 15. The arrival day of Florence is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Zurich, Mykonos, Nice, Brussels, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Frankfurt to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Brussels to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Nice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 21).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Florence is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Zurich, Mykonos, Nice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Hamburg] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Frankfurt to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Nice to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 21).\n         |- The departure day of Hamburg is Day 14. The arrival day of Florence is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Hamburg to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 21).\n           |- The departure day of Brussels is Day 15. The arrival day of Florence is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg, Brussels].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Brussels to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 18 - 21).\n             |- The departure day of Frankfurt is Day 19. The arrival day of Florence is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Hamburg to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 21).\n           |- The departure day of Frankfurt is Day 18. The arrival day of Florence is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg, Frankfurt].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Frankfurt to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 22 - 23).\n             |- The departure day of Florence is Day 21. The arrival day of Seville is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg, Frankfurt, Florence].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n               |- Try arranging to visit Brussels from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Florence to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Seville (Day 22 - 23).\n               |- The departure day of Brussels is Day 22. The arrival day of Seville is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg, Frankfurt, Florence, Brussels].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Seville.\n                 |- Try arranging to visit Seville from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Brussels to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Santorini, Zurich, Mykonos, Nice, Hamburg, Frankfurt, Florence, Brussels, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Zurich.\n**Day 2-5:** Visit Zurich for 4 days.\n**Day 5:** Fly from Zurich to Mykonos.\n**Day 5-8:** Visit Mykonos for 4 days.\n**Day 8:** Fly from Mykonos to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Hamburg.\n**Day 10-14:** Visit Hamburg for 5 days.\n**Day 14:** Fly from Hamburg to Frankfurt.\n**Day 14-18:** Visit Frankfurt for 5 days.\n**Day 18:** Fly from Frankfurt to Florence.\n**Day 18-21:** Visit Florence for 4 days.\n**Day 21:** Fly from Florence to Brussels.\n**Day 21-22:** Visit Brussels for 2 days.\n**Day 22:** Fly from Brussels to Seville.\n**Day 22-23:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Venice**Edinburgh**Krakow**Vilnius**Copenhagen**Madrid**Bucharest**Riga",
    "ground_truth_durations": "5**3**2**2**3**3**5**4**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Venice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. From day 9 to day 11, there is a annual show you want to attend in Vilnius. You want to spend 5 days in Santorini. You would like to visit Riga for 2 days. During day 20 and day 21, you have to attend a conference in Riga. You would like to visit Krakow for 2 days. You plan to stay in Venice for 3 days. You plan to stay in Copenhagen for 3 days. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 17 and day 20 to tour together. You would like to visit Madrid for 5 days. You are going to attend a wedding in Madrid between day 13 and day 17. You would like to visit Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nVilnius and Copenhagen, Santorini and Bucharest, Copenhagen and Madrid, Edinburgh and Copenhagen, Venice and Edinburgh, Edinburgh and Krakow, Copenhagen and Riga, Edinburgh and Madrid, Bucharest and Riga, Copenhagen and Bucharest, Santorini and Venice, Edinburgh and Riga, Santorini and Madrid, from Riga to Vilnius, Krakow and Copenhagen, from Krakow to Vilnius, Santorini and Copenhagen, Venice and Madrid, Madrid and Bucharest, Venice and Copenhagen.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. From day 9 to day 11, there is a annual show you want to attend in Vilnius. You want to spend 5 days in Santorini. You would like to visit Riga for 2 days. During day 20 and day 21, you have to attend a conference in Riga. You would like to visit Krakow for 2 days. You plan to stay in Venice for 3 days. You plan to stay in Copenhagen for 3 days. You would like to visit Bucharest for 4 days. You would like to meet your friends at Bucharest between day 17 and day 20 to tour together. You would like to visit Madrid for 5 days. You are going to attend a wedding in Madrid between day 13 and day 17. You would like to visit Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Copenhagen, from Santorini to Bucharest, from Copenhagen to Madrid, from Edinburgh to Copenhagen, from Venice to Edinburgh, from Edinburgh to Krakow, from Copenhagen to Riga, from Edinburgh to Madrid, from Bucharest to Riga, from Copenhagen to Bucharest, from Santorini to Venice, from Edinburgh to Riga, from Santorini to Madrid, from Riga to Vilnius, from Krakow to Copenhagen, from Krakow to Vilnius, from Santorini to Copenhagen, from Venice to Madrid, from Madrid to Bucharest, from Venice to Copenhagen.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Madrid.\n**Day 13-17:** Visit Madrid for 5 days.\n**Day 17:** Fly from Madrid to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-21:** Visit Riga for 2 days.",
    "id": "trip_planning_example_1248",
    "estimated_output_tokens": 2726,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Santorini, Duration: 5 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Krakow, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Edinburgh, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 9 - 11.\n* City: Madrid, Fixed Schedule: Day 13 - 17.\n* City: Bucharest, Fixed Schedule: Day 17 - 20.\n* City: Riga, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Krakow, Venice, Copenhagen, Edinburgh] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 11).\n |- The departure day of Santorini is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Copenhagen, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 11).\n   |- The departure day of Venice is Day 7. The arrival day of Vilnius is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Copenhagen, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 9 - 11).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Copenhagen to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 9 - 11).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Vilnius is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Venice, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 11).\n       |- The departure day of Krakow is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Venice, Edinburgh, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 13 - 17).\n         |- The departure day of Vilnius is Day 11. The arrival day of Madrid is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Venice, Edinburgh, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Vilnius to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Madrid (Day 13 - 17).\n           |- The departure day of Copenhagen is Day 13. The arrival day of Madrid is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Venice, Edinburgh, Krakow, Vilnius, Copenhagen].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Madrid.\n             |- Try arranging to visit Madrid from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Copenhagen to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 17 - 20).\n             |- The departure day of Madrid is Day 17. The arrival day of Bucharest is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Santorini, Venice, Edinburgh, Krakow, Vilnius, Copenhagen, Madrid].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Madrid to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 20 - 21).\n               |- The departure day of Bucharest is Day 20. The arrival day of Riga is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Venice, Edinburgh, Krakow, Vilnius, Copenhagen, Madrid, Bucharest].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Riga.\n                 |- Try arranging to visit Riga from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Bucharest to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Santorini, Venice, Edinburgh, Krakow, Vilnius, Copenhagen, Madrid, Bucharest, Riga].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Copenhagen.\n**Day 11-13:** Visit Copenhagen for 3 days.\n**Day 13:** Fly from Copenhagen to Madrid.\n**Day 13-17:** Visit Madrid for 5 days.\n**Day 17:** Fly from Madrid to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-21:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Istanbul**London**Mykonos**Madrid**Seville**Brussels**Reykjavik**Budapest",
    "ground_truth_durations": "5**2**3**3**4**3**4**3**5",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Warsaw",
        "Istanbul"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Warsaw",
        "London"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Istanbul",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You plan to stay in Seville for 3 days. You would like to visit Reykjavik for 3 days. You would like to visit Warsaw for 5 days. You want to spend 4 days in Brussels. You would like to meet your friends at Brussels between day 15 and day 18 to tour together. You would like to visit Mykonos for 3 days. You plan to stay in Budapest for 5 days. You want to meet a friend in Budapest between day 20 and day 24. You would like to visit Istanbul for 2 days. During day 5 and day 6, you have to attend a conference in Istanbul. You plan to stay in Madrid for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Madrid, London and Madrid, Reykjavik and Budapest, Istanbul and Budapest, Mykonos and Madrid, Madrid and Budapest, Warsaw and Istanbul, Istanbul and London, Seville and Brussels, London and Budapest, from Reykjavik to Madrid, Warsaw and Reykjavik, London and Reykjavik, Brussels and Reykjavik, Madrid and Brussels, Warsaw and Brussels, Madrid and Seville, Mykonos and Budapest, Warsaw and Budapest, London and Brussels, London and Mykonos, Istanbul and Madrid, Warsaw and London, Brussels and Budapest, Istanbul and Brussels.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You plan to stay in Seville for 3 days. You would like to visit Reykjavik for 3 days. You would like to visit Warsaw for 5 days. You want to spend 4 days in Brussels. You would like to meet your friends at Brussels between day 15 and day 18 to tour together. You would like to visit Mykonos for 3 days. You plan to stay in Budapest for 5 days. You want to meet a friend in Budapest between day 20 and day 24. You would like to visit Istanbul for 2 days. During day 5 and day 6, you have to attend a conference in Istanbul. You plan to stay in Madrid for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Madrid, from London to Madrid, from Reykjavik to Budapest, from Istanbul to Budapest, from Mykonos to Madrid, from Madrid to Budapest, from Warsaw to Istanbul, from Istanbul to London, from Seville to Brussels, from London to Budapest, from Reykjavik to Madrid, from Warsaw to Reykjavik, from London to Reykjavik, from Brussels to Reykjavik, from Madrid to Brussels, from Warsaw to Brussels, from Madrid to Seville, from Mykonos to Budapest, from Warsaw to Budapest, from London to Brussels, from London to Mykonos, from Istanbul to Madrid, from Warsaw to London, from Brussels to Budapest, from Istanbul to Brussels.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to London.\n**Day 6-8:** Visit London for 3 days.\n**Day 8:** Fly from London to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.\n**Day 10:** Fly from Mykonos to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-15:** Visit Seville for 3 days.\n**Day 15:** Fly from Seville to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.\n**Day 20:** Fly from Reykjavik to Budapest.\n**Day 20-24:** Visit Budapest for 5 days.",
    "id": "trip_planning_example_1249",
    "estimated_output_tokens": 5530,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Mykonos, Duration: 3 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Madrid, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 6.\n* City: Brussels, Fixed Schedule: Day 15 - 18.\n* City: Budapest, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Seville, Reykjavik, Warsaw, Mykonos, Madrid] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of London is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Reykjavik, Warsaw, Mykonos, Madrid] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 6).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Reykjavik to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 6).\n   |- The departure day of Mykonos is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Mykonos].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Mykonos to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 6).\n   |- The departure day of Madrid is Day 6. The arrival day of Istanbul is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Seville is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Warsaw, Mykonos, Madrid] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Reykjavik is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Seville, Warsaw, Mykonos, Madrid] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 6).\n   |- The departure day of Madrid is Day 6. The arrival day of Istanbul is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 6).\n |- The departure day of Warsaw is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Warsaw to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 15 - 18).\n   |- The departure day of Istanbul is Day 6. The arrival day of Brussels is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Seville, Reykjavik, Mykonos, Madrid] and explore these options in order.\n     |- Try arranging to visit London from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Istanbul to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 15 - 18).\n     |- The departure day of London is Day 8. The arrival day of Brussels is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Warsaw, Istanbul, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Reykjavik, Mykonos, Madrid] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 15 - 18).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Brussels is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Warsaw, Istanbul, London, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Mykonos, Madrid] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 15 - 18).\n         |- The departure day of Madrid is Day 13. The arrival day of Brussels is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Warsaw, Istanbul, London, Reykjavik, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Mykonos] and explore these options in order.\n           |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Madrid to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 15 - 18).\n           |- The departure day of Seville is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Warsaw, Istanbul, London, Reykjavik, Madrid, Seville].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Seville to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Budapest (Day 20 - 24).\n             |- The departure day of Brussels is Day 18. The arrival day of Budapest is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Warsaw, Istanbul, London, Reykjavik, Madrid, Seville, Brussels].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Brussels to Mykonos.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Madrid to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 15 - 18).\n       |- The departure day of Mykonos is Day 10. The arrival day of Brussels is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Warsaw, Istanbul, London, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Reykjavik, Madrid] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Mykonos to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Mykonos to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Mykonos to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 15 - 18).\n         |- The departure day of Madrid is Day 13. The arrival day of Brussels is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Warsaw, Istanbul, London, Mykonos, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Madrid to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 15 - 18).\n           |- The departure day of Seville is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Warsaw, Istanbul, London, Mykonos, Madrid, Seville].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Seville to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Budapest (Day 20 - 24).\n             |- The departure day of Brussels is Day 18. The arrival day of Budapest is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Warsaw, Istanbul, London, Mykonos, Madrid, Seville, Brussels].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Brussels to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 20 - 24).\n               |- The departure day of Reykjavik is Day 20. The arrival day of Budapest is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Warsaw, Istanbul, London, Mykonos, Madrid, Seville, Brussels, Reykjavik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Budapest.\n                 |- Try arranging to visit Budapest from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Reykjavik to Budapest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Warsaw, Istanbul, London, Mykonos, Madrid, Seville, Brussels, Reykjavik, Budapest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Istanbul.\n**Day 5-6:** Visit Istanbul for 2 days.\n**Day 6:** Fly from Istanbul to London.\n**Day 6-8:** Visit London for 3 days.\n**Day 8:** Fly from London to Mykonos.\n**Day 8-10:** Visit Mykonos for 3 days.\n**Day 10:** Fly from Mykonos to Madrid.\n**Day 10-13:** Visit Madrid for 4 days.\n**Day 13:** Fly from Madrid to Seville.\n**Day 13-15:** Visit Seville for 3 days.\n**Day 15:** Fly from Seville to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.\n**Day 20:** Fly from Reykjavik to Budapest.\n**Day 20-24:** Visit Budapest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Lyon**Bucharest**Riga**Milan**Porto**Geneva**Istanbul**Tallinn",
    "ground_truth_durations": "2**2**3**3**5**5**3**3**2",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Porto"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Lyon",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Lyon for 2 days. You want to spend 3 days in Istanbul. You would like to meet your friends at Istanbul between day 17 and day 19 to tour together. You want to spend 2 days in Tallinn. You want to spend 3 days in Bucharest. You want to spend 2 days in Venice. You want to spend 3 days in Geneva. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 7 and day 11. You want to spend 5 days in Porto. You plan to visit relatives in Porto between day 11 and day 15.\n\nHere are the cities that have direct flights:\nMilan and Porto, Riga and Istanbul, from Riga to Tallinn, Porto and Istanbul, Riga and Milan, from Istanbul to Tallinn, Geneva and Istanbul, Milan and Istanbul, Venice and Istanbul, Porto and Geneva, Venice and Lyon, Bucharest and Riga, Lyon and Bucharest, Lyon and Porto, Bucharest and Istanbul, Lyon and Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to stay in Lyon for 2 days. You want to spend 3 days in Istanbul. You would like to meet your friends at Istanbul between day 17 and day 19 to tour together. You want to spend 2 days in Tallinn. You want to spend 3 days in Bucharest. You want to spend 2 days in Venice. You want to spend 3 days in Geneva. You want to spend 5 days in Milan. You have to attend a workshop in Milan between day 7 and day 11. You want to spend 5 days in Porto. You plan to visit relatives in Porto between day 11 and day 15.\n\nHere are the cities that have direct flights:\nfrom Milan to Porto, from Riga to Istanbul, from Riga to Tallinn, from Porto to Istanbul, from Riga to Milan, from Istanbul to Tallinn, from Geneva to Istanbul, from Milan to Istanbul, from Venice to Istanbul, from Porto to Geneva, from Venice to Lyon, from Bucharest to Riga, from Lyon to Bucharest, from Lyon to Porto, from Bucharest to Istanbul, from Lyon to Istanbul.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Bucharest.\n**Day 3-5:** Visit Bucharest for 3 days.\n**Day 5:** Fly from Bucharest to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.\n**Day 17:** Fly from Geneva to Istanbul.\n**Day 17-19:** Visit Istanbul for 3 days.\n**Day 19:** Fly from Istanbul to Tallinn.\n**Day 19-20:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1250",
    "estimated_output_tokens": 6169,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Tallinn, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Venice, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 7 - 11.\n* City: Porto, Fixed Schedule: Day 11 - 15.\n* City: Istanbul, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Venice, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Lyon, Tallinn, Bucharest, Venice, Geneva] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 11).\n |- The departure day of Riga is Day 3. The arrival day of Milan is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Bucharest, Venice, Geneva] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 7 - 11).\n   |- The departure day of Tallinn is Day 4. The arrival day of Milan is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Riga, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest, Venice, Geneva] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Tallinn to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Tallinn to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Tallinn to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 11).\n |- The departure day of Lyon is Day 2. The arrival day of Milan is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Bucharest, Venice, Geneva] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 7 - 11).\n   |- The departure day of Bucharest is Day 4. The arrival day of Milan is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Venice, Geneva] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 7 - 11).\n     |- The departure day of Riga is Day 6. The arrival day of Milan is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Bucharest, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Venice, Geneva] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 7 - 11).\n       |- The departure day of Tallinn is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Lyon, Bucharest, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Tallinn to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Riga to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 11).\n |- The departure day of Tallinn is Day 2. The arrival day of Milan is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Lyon, Bucharest, Venice, Geneva] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 11).\n |- The departure day of Bucharest is Day 3. The arrival day of Milan is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Lyon, Tallinn, Venice, Geneva] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 7 - 11).\n   |- The departure day of Riga is Day 5. The arrival day of Milan is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Venice, Geneva] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 7 - 11).\n     |- The departure day of Tallinn is Day 6. The arrival day of Milan is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Venice, Geneva] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Tallinn to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Tallinn to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Tallinn to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Riga to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Bucharest to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Bucharest to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 11).\n |- The departure day of Venice is Day 2. The arrival day of Milan is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Lyon, Tallinn, Bucharest, Geneva] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 7 - 11).\n   |- The departure day of Lyon is Day 3. The arrival day of Milan is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Venice, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Bucharest, Geneva] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Lyon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 7 - 11).\n     |- The departure day of Bucharest is Day 5. The arrival day of Milan is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Venice, Lyon, Bucharest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Geneva] and explore these options in order.\n       |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 7 - 11).\n       |- The departure day of Riga is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Venice, Lyon, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 15).\n         |- The departure day of Milan is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Lyon, Bucharest, Riga, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Milan to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 17 - 19).\n           |- The departure day of Porto is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Lyon, Bucharest, Riga, Milan, Porto].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Geneva] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Porto to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Porto to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 19).\n             |- The departure day of Geneva is Day 17. The arrival day of Istanbul is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Venice, Lyon, Bucharest, Riga, Milan, Porto, Geneva].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Geneva to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Venice, Lyon, Bucharest, Riga, Milan, Porto, Geneva, Istanbul].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Istanbul to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Venice, Lyon, Bucharest, Riga, Milan, Porto, Geneva, Istanbul, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Bucharest.\n**Day 3-5:** Visit Bucharest for 3 days.\n**Day 5:** Fly from Bucharest to Riga.\n**Day 5-7:** Visit Riga for 3 days.\n**Day 7:** Fly from Riga to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Geneva.\n**Day 15-17:** Visit Geneva for 3 days.\n**Day 17:** Fly from Geneva to Istanbul.\n**Day 17-19:** Visit Istanbul for 3 days.\n**Day 19:** Fly from Istanbul to Tallinn.\n**Day 19-20:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Paris**Berlin**Salzburg**Istanbul**Stuttgart**Split**Zurich**Dubrovnik",
    "ground_truth_durations": "5**2**5**2**4**2**2**2**3",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 15,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Paris",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. During day 11 and day 14, you have to attend a conference in Istanbul. You want to spend 2 days in Stuttgart. You want to spend 2 days in Paris. You plan to stay in Berlin for 5 days. You plan to stay in Salzburg for 2 days. You are going to attend a wedding in Salzburg between day 10 and day 11. You plan to stay in Geneva for 5 days. You want to meet a friend in Geneva between day 1 and day 5. You plan to stay in Dubrovnik for 3 days. You plan to stay in Zurich for 2 days. You would like to visit Split for 2 days. You plan to visit relatives in Split between day 15 and day 16.\n\nHere are the cities that have direct flights:\nBerlin and Istanbul, Paris and Istanbul, Geneva and Paris, Salzburg and Istanbul, Berlin and Split, Stuttgart and Split, Geneva and Zurich, Geneva and Dubrovnik, Berlin and Stuttgart, Zurich and Dubrovnik, Istanbul and Stuttgart, Berlin and Salzburg, Istanbul and Zurich, Geneva and Split, Paris and Stuttgart, Geneva and Berlin, Paris and Split, from Dubrovnik to Istanbul, Paris and Zurich, Berlin and Zurich, Split and Zurich, Geneva and Istanbul, Paris and Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. During day 11 and day 14, you have to attend a conference in Istanbul. You want to spend 2 days in Stuttgart. You want to spend 2 days in Paris. You plan to stay in Berlin for 5 days. You plan to stay in Salzburg for 2 days. You are going to attend a wedding in Salzburg between day 10 and day 11. You plan to stay in Geneva for 5 days. You want to meet a friend in Geneva between day 1 and day 5. You plan to stay in Dubrovnik for 3 days. You plan to stay in Zurich for 2 days. You would like to visit Split for 2 days. You plan to visit relatives in Split between day 15 and day 16.\n\nHere are the cities that have direct flights:\nfrom Berlin to Istanbul, from Paris to Istanbul, from Geneva to Paris, from Salzburg to Istanbul, from Berlin to Split, from Stuttgart to Split, from Geneva to Zurich, from Geneva to Dubrovnik, from Berlin to Stuttgart, from Zurich to Dubrovnik, from Istanbul to Stuttgart, from Berlin to Salzburg, from Istanbul to Zurich, from Geneva to Split, from Paris to Stuttgart, from Geneva to Berlin, from Paris to Split, from Dubrovnik to Istanbul, from Paris to Zurich, from Berlin to Zurich, from Split to Zurich, from Geneva to Istanbul, from Paris to Berlin.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Salzburg.\n**Day 10-11:** Visit Salzburg for 2 days.\n**Day 11:** Fly from Salzburg to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1251",
    "estimated_output_tokens": 2674,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Stuttgart, Duration: 2 days.\n* City: Paris, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Salzburg, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Duration: 3 days.\n* City: Zurich, Duration: 2 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 5.\n* City: Salzburg, Fixed Schedule: Day 10 - 11.\n* City: Istanbul, Fixed Schedule: Day 11 - 14.\n* City: Split, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Paris, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Salzburg (Day 10 - 11).\n |- The departure day of Geneva is Day 5. The arrival day of Salzburg is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Paris, Berlin, Dubrovnik, Zurich] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Salzburg (Day 10 - 11).\n   |- The departure day of Paris is Day 6. The arrival day of Salzburg is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Berlin, Dubrovnik, Zurich] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Salzburg (Day 10 - 11).\n     |- The departure day of Stuttgart is Day 7. The arrival day of Salzburg is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Paris, Stuttgart].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik, Zurich] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Stuttgart to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Stuttgart to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Stuttgart to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Salzburg (Day 10 - 11).\n     |- The departure day of Berlin is Day 10. The arrival day of Salzburg is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Geneva, Paris, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Salzburg.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 11 - 14).\n       |- The departure day of Salzburg is Day 11. The arrival day of Istanbul is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Geneva, Paris, Berlin, Salzburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Salzburg to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 15 - 16).\n         |- The departure day of Istanbul is Day 14. The arrival day of Split is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Geneva, Paris, Berlin, Salzburg, Istanbul].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dubrovnik, Zurich] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Istanbul to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 15 - 16).\n           |- The departure day of Stuttgart is Day 15. The arrival day of Split is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Geneva, Paris, Berlin, Salzburg, Istanbul, Stuttgart].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Split.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Geneva, Paris, Berlin, Salzburg, Istanbul, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Zurich] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Split to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Zurich from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Split to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, Paris, Berlin, Salzburg, Istanbul, Stuttgart, Split, Zurich].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Zurich to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Geneva, Paris, Berlin, Salzburg, Istanbul, Stuttgart, Split, Zurich, Dubrovnik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Geneva and visit Geneva for 5 days.\n**Day 5:** Fly from Geneva to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Salzburg.\n**Day 10-11:** Visit Salzburg for 2 days.\n**Day 11:** Fly from Salzburg to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Helsinki**London**Nice**Stockholm**Dubrovnik**Manchester**Seville",
    "ground_truth_durations": "5**5**5**3**3**5**4**2**5",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Nice"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Manchester",
        "Seville"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Helsinki",
        "London"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Tallinn",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You would like to visit London for 3 days. You want to meet a friend in London between day 13 and day 15. You would like to visit Tallinn for 5 days. You would like to visit Stockholm for 5 days. You would like to visit Dubrovnik for 4 days. You would like to visit Manchester for 2 days. You would like to visit Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 9 and day 13. You want to spend 5 days in Vilnius. You plan to stay in Nice for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Nice, London and Stockholm, Helsinki and Dubrovnik, Nice and Manchester, Manchester and Seville, Dubrovnik and Manchester, London and Manchester, Stockholm and Dubrovnik, Helsinki and Stockholm, Stockholm and Manchester, Vilnius and Helsinki, Nice and Stockholm, Helsinki and London, Helsinki and Manchester, from Tallinn to Vilnius, Tallinn and Helsinki, London and Nice, Tallinn and Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You would like to visit London for 3 days. You want to meet a friend in London between day 13 and day 15. You would like to visit Tallinn for 5 days. You would like to visit Stockholm for 5 days. You would like to visit Dubrovnik for 4 days. You would like to visit Manchester for 2 days. You would like to visit Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 9 and day 13. You want to spend 5 days in Vilnius. You plan to stay in Nice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Nice, from London to Stockholm, from Helsinki to Dubrovnik, from Nice to Manchester, from Manchester to Seville, from Dubrovnik to Manchester, from London to Manchester, from Stockholm to Dubrovnik, from Helsinki to Stockholm, from Stockholm to Manchester, from Vilnius to Helsinki, from Nice to Stockholm, from Helsinki to London, from Helsinki to Manchester, from Tallinn to Vilnius, from Tallinn to Helsinki, from London to Nice, from Tallinn to Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Vilnius.\n**Day 5-9:** Visit Vilnius for 5 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Nice.\n**Day 15-17:** Visit Nice for 3 days.\n**Day 17:** Fly from Nice to Stockholm.\n**Day 17-21:** Visit Stockholm for 5 days.\n**Day 21:** Fly from Stockholm to Dubrovnik.\n**Day 21-24:** Visit Dubrovnik for 4 days.\n**Day 24:** Fly from Dubrovnik to Manchester.\n**Day 24-25:** Visit Manchester for 2 days.\n**Day 25:** Fly from Manchester to Seville.\n**Day 25-29:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1252",
    "estimated_output_tokens": 5592,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Tallinn, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Vilnius, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 9 - 13.\n* City: London, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Nice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Tallinn, Stockholm, Dubrovnik, Manchester, Vilnius, Nice] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 9 - 13).\n |- The departure day of Seville is Day 5. The arrival day of Helsinki is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Stockholm, Dubrovnik, Manchester, Vilnius, Nice] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Seville to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 9 - 13).\n |- The departure day of Tallinn is Day 5. The arrival day of Helsinki is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Dubrovnik, Manchester, Vilnius, Nice] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 9 - 13).\n   |- The departure day of Stockholm is Day 9. The arrival day of Helsinki is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Tallinn, Stockholm].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Stockholm to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 9 - 13).\n   |- The departure day of Vilnius is Day 9. The arrival day of Helsinki is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: London (Day 13 - 15).\n     |- The departure day of Helsinki is Day 13. The arrival day of London is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Tallinn, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: London.\n       |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Helsinki to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Tallinn, Vilnius, Helsinki, London].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Dubrovnik, Manchester, Nice] and explore these options in order.\n         |- Try arranging to visit Seville from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from London to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from London to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Dubrovnik, Manchester, Nice] and explore these options in order.\n           |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Stockholm to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Stockholm to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Nice] and explore these options in order.\n             |- Try arranging to visit Seville from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Dubrovnik to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Dubrovnik to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm, Dubrovnik, Manchester].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville, Nice] and explore these options in order.\n               |- Try arranging to visit Seville from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Manchester to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm, Dubrovnik, Manchester, Seville].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                 |- Check for direct flight from Seville to Nice.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Nice from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Manchester to Nice.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Nice from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Dubrovnik to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Stockholm to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm, Manchester].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Dubrovnik, Nice] and explore these options in order.\n             |- Try arranging to visit Seville from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Manchester to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Tallinn, Vilnius, Helsinki, London, Stockholm, Manchester, Seville].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Nice] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Seville to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Nice from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n               |- Check for direct flight from Seville to Nice.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Manchester to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Manchester to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Nice from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Stockholm to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from London to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from London to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Tallinn, Vilnius, Helsinki, London, Manchester].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Dubrovnik, Nice] and explore these options in order.\n           |- Try arranging to visit Seville from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Manchester to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Vilnius, Helsinki, London, Manchester, Seville].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Nice] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Seville to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Seville to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Seville to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Manchester to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Manchester to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Manchester to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Nice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from London to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Tallinn, Vilnius, Helsinki, London, Nice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Dubrovnik, Manchester] and explore these options in order.\n           |- Try arranging to visit Seville from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Nice to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Nice to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Tallinn, Vilnius, Helsinki, London, Nice, Stockholm].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Dubrovnik, Manchester] and explore these options in order.\n             |- Try arranging to visit Seville from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Stockholm to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Stockholm to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Tallinn, Vilnius, Helsinki, London, Nice, Stockholm, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville, Manchester] and explore these options in order.\n               |- Try arranging to visit Seville from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Dubrovnik to Seville.\n               |- No. Drop this branch.\n               |- Try arranging to visit Manchester from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Dubrovnik to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Tallinn, Vilnius, Helsinki, London, Nice, Stockholm, Dubrovnik, Manchester].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Manchester to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Tallinn, Vilnius, Helsinki, London, Nice, Stockholm, Dubrovnik, Manchester, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Vilnius.\n**Day 5-9:** Visit Vilnius for 5 days.\n**Day 9:** Fly from Vilnius to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Nice.\n**Day 15-17:** Visit Nice for 3 days.\n**Day 17:** Fly from Nice to Stockholm.\n**Day 17-21:** Visit Stockholm for 5 days.\n**Day 21:** Fly from Stockholm to Dubrovnik.\n**Day 21-24:** Visit Dubrovnik for 4 days.\n**Day 24:** Fly from Dubrovnik to Manchester.\n**Day 24-25:** Visit Manchester for 2 days.\n**Day 25:** Fly from Manchester to Seville.\n**Day 25-29:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Tallinn**Vilnius**Milan**Reykjavik**Oslo**Venice**Istanbul**Salzburg",
    "ground_truth_durations": "4**2**2**5**4**5**2**2**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Tallinn",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You plan to stay in Venice for 2 days. You want to spend 5 days in Milan. You would like to visit Istanbul for 2 days. You plan to stay in Salzburg for 5 days. You plan to visit relatives in Salzburg between day 19 and day 23. You would like to visit Oslo for 5 days. You are going to attend a wedding in Oslo between day 13 and day 17. You plan to stay in Reykjavik for 4 days. You want to spend 4 days in Brussels. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nBrussels and Oslo, Oslo and Venice, Brussels and Vilnius, Istanbul and Salzburg, Tallinn and Oslo, Vilnius and Milan, Milan and Oslo, Oslo and Istanbul, Brussels and Tallinn, Reykjavik and Oslo, Milan and Reykjavik, Brussels and Reykjavik, Venice and Istanbul, Brussels and Venice, Milan and Istanbul, Brussels and Milan, from Istanbul to Tallinn, Vilnius and Istanbul, Brussels and Istanbul, Vilnius and Oslo, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 2 days. You plan to stay in Venice for 2 days. You want to spend 5 days in Milan. You would like to visit Istanbul for 2 days. You plan to stay in Salzburg for 5 days. You plan to visit relatives in Salzburg between day 19 and day 23. You would like to visit Oslo for 5 days. You are going to attend a wedding in Oslo between day 13 and day 17. You plan to stay in Reykjavik for 4 days. You want to spend 4 days in Brussels. You would like to meet your friends at Brussels between day 1 and day 4 to tour together. You plan to stay in Vilnius for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Oslo, from Oslo to Venice, from Brussels to Vilnius, from Istanbul to Salzburg, from Tallinn to Oslo, from Vilnius to Milan, from Milan to Oslo, from Oslo to Istanbul, from Brussels to Tallinn, from Reykjavik to Oslo, from Milan to Reykjavik, from Brussels to Reykjavik, from Venice to Istanbul, from Brussels to Venice, from Milan to Istanbul, from Brussels to Milan, from Istanbul to Tallinn, from Vilnius to Istanbul, from Brussels to Istanbul, from Vilnius to Oslo, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Tallinn.\n**Day 4-5:** Visit Tallinn for 2 days.\n**Day 5:** Fly from Tallinn to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Milan.\n**Day 6-10:** Visit Milan for 5 days.\n**Day 10:** Fly from Milan to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Venice.\n**Day 17-18:** Visit Venice for 2 days.\n**Day 18:** Fly from Venice to Istanbul.\n**Day 18-19:** Visit Istanbul for 2 days.\n**Day 19:** Fly from Istanbul to Salzburg.\n**Day 19-23:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1253",
    "estimated_output_tokens": 2976,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Milan, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Reykjavik, Duration: 4 days.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Fixed Schedule: Day 13 - 17.\n* City: Salzburg, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Milan, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 13 - 17).\n |- The departure day of Brussels is Day 4. The arrival day of Oslo is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Venice, Milan, Istanbul, Reykjavik, Vilnius] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 13 - 17).\n   |- The departure day of Tallinn is Day 5. The arrival day of Oslo is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Istanbul, Reykjavik, Vilnius] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 13 - 17).\n     |- The departure day of Vilnius is Day 6. The arrival day of Oslo is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Brussels, Tallinn, Vilnius].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Istanbul, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Vilnius to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vilnius to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 13 - 17).\n       |- The departure day of Milan is Day 10. The arrival day of Oslo is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Tallinn, Vilnius, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Istanbul, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Milan to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Milan to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 17).\n         |- The departure day of Istanbul is Day 11. The arrival day of Oslo is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Brussels, Tallinn, Vilnius, Milan, Istanbul].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Istanbul to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Istanbul to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Milan to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 17).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Tallinn, Vilnius, Milan, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 19 - 23).\n           |- The departure day of Oslo is Day 17. The arrival day of Salzburg is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Tallinn, Vilnius, Milan, Reykjavik, Oslo].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Istanbul] and explore these options in order.\n             |- Try arranging to visit Venice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Oslo to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Salzburg (Day 19 - 23).\n             |- The departure day of Venice is Day 18. The arrival day of Salzburg is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Brussels, Tallinn, Vilnius, Milan, Reykjavik, Oslo, Venice].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Venice to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Salzburg (Day 19 - 23).\n               |- The departure day of Istanbul is Day 19. The arrival day of Salzburg is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Brussels, Tallinn, Vilnius, Milan, Reykjavik, Oslo, Venice, Istanbul].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Istanbul to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Brussels, Tallinn, Vilnius, Milan, Reykjavik, Oslo, Venice, Istanbul, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Brussels and visit Brussels for 4 days.\n**Day 4:** Fly from Brussels to Tallinn.\n**Day 4-5:** Visit Tallinn for 2 days.\n**Day 5:** Fly from Tallinn to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Milan.\n**Day 6-10:** Visit Milan for 5 days.\n**Day 10:** Fly from Milan to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Venice.\n**Day 17-18:** Visit Venice for 2 days.\n**Day 18:** Fly from Venice to Istanbul.\n**Day 18-19:** Visit Istanbul for 2 days.\n**Day 19:** Fly from Istanbul to Salzburg.\n**Day 19-23:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Split**Prague**Oslo**Dubrovnik**Istanbul**Nice**Lisbon**Dublin",
    "ground_truth_durations": "5**5**2**3**3**5**5**3**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 24,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Oslo",
        "Dublin"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Oslo",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 9 and day 10. You plan to stay in Split for 5 days. You are going to attend a wedding in Split between day 5 and day 9. You plan to stay in Dubrovnik for 3 days. You plan to stay in Dublin for 2 days. You would like to meet your friends at Dublin between day 24 and day 25 to tour together. You want to spend 5 days in Nice. From day 18 to day 22, there is a annual show you want to attend in Nice. You want to spend 5 days in London. You want to spend 3 days in Oslo. You would like to visit Lisbon for 3 days. You would like to visit Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Lisbon, Prague and Oslo, Oslo and Dublin, Oslo and Istanbul, Nice and Lisbon, London and Istanbul, London and Split, Nice and Dublin, Prague and Dublin, London and Dublin, Prague and Istanbul, Istanbul and Lisbon, Dubrovnik and Dublin, Oslo and Dubrovnik, Prague and Lisbon, Lisbon and Dublin, Istanbul and Nice, Split and Dublin, London and Prague, Split and Prague, from Dubrovnik to Istanbul, Istanbul and Dublin, Split and Oslo, London and Lisbon, London and Nice, London and Oslo, Oslo and Nice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 9 and day 10. You plan to stay in Split for 5 days. You are going to attend a wedding in Split between day 5 and day 9. You plan to stay in Dubrovnik for 3 days. You plan to stay in Dublin for 2 days. You would like to meet your friends at Dublin between day 24 and day 25 to tour together. You want to spend 5 days in Nice. From day 18 to day 22, there is a annual show you want to attend in Nice. You want to spend 5 days in London. You want to spend 3 days in Oslo. You would like to visit Lisbon for 3 days. You would like to visit Istanbul for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Lisbon, from Prague to Oslo, from Oslo to Dublin, from Oslo to Istanbul, from Nice to Lisbon, from London to Istanbul, from London to Split, from Nice to Dublin, from Prague to Dublin, from London to Dublin, from Prague to Istanbul, from Istanbul to Lisbon, from Dubrovnik to Dublin, from Oslo to Dubrovnik, from Prague to Lisbon, from Lisbon to Dublin, from Istanbul to Nice, from Split to Dublin, from London to Prague, from Split to Prague, from Dubrovnik to Istanbul, from Istanbul to Dublin, from Split to Oslo, from London to Lisbon, from London to Nice, from London to Oslo, from Oslo to Nice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Prague.\n**Day 9-10:** Visit Prague for 2 days.\n**Day 10:** Fly from Prague to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Nice.\n**Day 18-22:** Visit Nice for 5 days.\n**Day 22:** Fly from Nice to Lisbon.\n**Day 22-24:** Visit Lisbon for 3 days.\n**Day 24:** Fly from Lisbon to Dublin.\n**Day 24-25:** Visit Dublin for 2 days.",
    "id": "trip_planning_example_1254",
    "estimated_output_tokens": 2841,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dubrovnik, Duration: 3 days.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: London, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 5 - 9.\n* City: Prague, Fixed Schedule: Day 9 - 10.\n* City: Nice, Fixed Schedule: Day 18 - 22.\n* City: Dublin, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, London, Oslo, Lisbon, Istanbul] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 9).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Split is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Oslo, Lisbon, Istanbul] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 5 - 9).\n   |- The departure day of Istanbul is Day 7. The arrival day of Split is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 5 - 9).\n |- The departure day of London is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n   |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 9 - 10).\n   |- The departure day of Split is Day 9. The arrival day of Prague is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [London, Split].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Split to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 18 - 22).\n     |- The departure day of Prague is Day 10. The arrival day of Nice is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Split, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo, Lisbon, Istanbul] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 18 - 22).\n       |- The departure day of Oslo is Day 12. The arrival day of Nice is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [London, Split, Prague, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lisbon, Istanbul] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 18 - 22).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Nice is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [London, Split, Prague, Oslo, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Istanbul] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Dubrovnik to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Dubrovnik to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 18 - 22).\n           |- The departure day of Istanbul is Day 18. The arrival day of Nice is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [London, Split, Prague, Oslo, Dubrovnik, Istanbul].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Istanbul to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dublin (Day 24 - 25).\n             |- The departure day of Nice is Day 22. The arrival day of Dublin is Day 24. Day 22 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [London, Split, Prague, Oslo, Dubrovnik, Istanbul, Nice].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Nice to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Dublin (Day 24 - 25).\n               |- The departure day of Lisbon is Day 24. The arrival day of Dublin is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [London, Split, Prague, Oslo, Dubrovnik, Istanbul, Nice, Lisbon].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Lisbon to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [London, Split, Prague, Oslo, Dubrovnik, Istanbul, Nice, Lisbon, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Prague.\n**Day 9-10:** Visit Prague for 2 days.\n**Day 10:** Fly from Prague to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Nice.\n**Day 18-22:** Visit Nice for 5 days.\n**Day 22:** Fly from Nice to Lisbon.\n**Day 22-24:** Visit Lisbon for 3 days.\n**Day 24:** Fly from Lisbon to Dublin.\n**Day 24-25:** Visit Dublin for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Nice**London**Stockholm**Milan**Stuttgart**Split**Oslo**Bucharest",
    "ground_truth_durations": "2**2**5**3**2**4**3**3**2",
    "num_cities": 9,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Bucharest"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You plan to stay in Nice for 2 days. From day 2 to day 3, there is a annual show you want to attend in Nice. You would like to visit Oslo for 3 days. During day 15 and day 17, you have to attend a conference in Oslo. You want to spend 2 days in Naples. You plan to stay in Milan for 2 days. You have to attend a workshop in Milan between day 9 and day 10. You would like to visit Split for 3 days. You plan to stay in Stockholm for 3 days. You would like to meet your friends at Stockholm between day 7 and day 9 to tour together. You would like to visit London for 5 days. You would like to visit Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Bucharest, London and Milan, Milan and Stuttgart, Milan and Split, Naples and London, Naples and Stuttgart, Nice and London, Stockholm and Split, Naples and Bucharest, Stockholm and Stuttgart, London and Stuttgart, London and Split, Naples and Milan, Naples and Split, Nice and Stockholm, London and Oslo, Naples and Nice, Stockholm and Milan, Naples and Oslo, London and Stockholm, Stockholm and Oslo, Split and Oslo, Milan and Oslo, Nice and Oslo, Oslo and Bucharest, Stuttgart and Split.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You plan to stay in Nice for 2 days. From day 2 to day 3, there is a annual show you want to attend in Nice. You would like to visit Oslo for 3 days. During day 15 and day 17, you have to attend a conference in Oslo. You want to spend 2 days in Naples. You plan to stay in Milan for 2 days. You have to attend a workshop in Milan between day 9 and day 10. You would like to visit Split for 3 days. You plan to stay in Stockholm for 3 days. You would like to meet your friends at Stockholm between day 7 and day 9 to tour together. You would like to visit London for 5 days. You would like to visit Bucharest for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Bucharest, from London to Milan, from Milan to Stuttgart, from Milan to Split, from Naples to London, from Naples to Stuttgart, from Nice to London, from Stockholm to Split, from Naples to Bucharest, from Stockholm to Stuttgart, from London to Stuttgart, from London to Split, from Naples to Milan, from Naples to Split, from Nice to Stockholm, from London to Oslo, from Naples to Nice, from Stockholm to Milan, from Naples to Oslo, from London to Stockholm, from Stockholm to Oslo, from Split to Oslo, from Milan to Oslo, from Nice to Oslo, from Oslo to Bucharest, from Stuttgart to Split.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 18 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Stockholm.\n**Day 7-9:** Visit Stockholm for 3 days.\n**Day 9:** Fly from Stockholm to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Bucharest.\n**Day 17-18:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1255",
    "estimated_output_tokens": 2434,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Naples, Duration: 2 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Split, Duration: 3 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: London, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 2 - 3.\n* City: Stockholm, Fixed Schedule: Day 7 - 9.\n* City: Milan, Fixed Schedule: Day 9 - 10.\n* City: Oslo, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Naples, Split, London, Bucharest] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 3).\n |- The departure day of Stuttgart is Day 4. The arrival day of Nice is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 3).\n |- The departure day of Naples is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Naples to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 7 - 9).\n   |- The departure day of Nice is Day 3. The arrival day of Stockholm is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Naples, Nice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, London, Bucharest] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Nice to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Nice to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Nice to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 7 - 9).\n     |- The departure day of London is Day 7. The arrival day of Stockholm is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Nice, London].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from London to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 9 - 10).\n       |- The departure day of Stockholm is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Naples, Nice, London, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Stockholm to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 15 - 17).\n         |- The departure day of Milan is Day 10. The arrival day of Oslo is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Naples, Nice, London, Stockholm, Milan].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Split, Bucharest] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Milan to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 15 - 17).\n           |- The departure day of Stuttgart is Day 13. The arrival day of Oslo is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Naples, Nice, London, Stockholm, Milan, Stuttgart].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Bucharest] and explore these options in order.\n             |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 15 - 17).\n             |- The departure day of Split is Day 15. The arrival day of Oslo is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Naples, Nice, London, Stockholm, Milan, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Oslo.\n               |- Try arranging to visit Oslo from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Split to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Naples, Nice, London, Stockholm, Milan, Stuttgart, Split, Oslo].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Oslo to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Naples, Nice, London, Stockholm, Milan, Stuttgart, Split, Oslo, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Nice.\n**Day 2-3:** Visit Nice for 2 days.\n**Day 3:** Fly from Nice to London.\n**Day 3-7:** Visit London for 5 days.\n**Day 7:** Fly from London to Stockholm.\n**Day 7-9:** Visit Stockholm for 3 days.\n**Day 9:** Fly from Stockholm to Milan.\n**Day 9-10:** Visit Milan for 2 days.\n**Day 10:** Fly from Milan to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Oslo.\n**Day 15-17:** Visit Oslo for 3 days.\n**Day 17:** Fly from Oslo to Bucharest.\n**Day 17-18:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Prague**Budapest**Mykonos**Nice**Venice**Berlin**Stockholm**Dubrovnik",
    "ground_truth_durations": "4**3**5**5**2**5**4**2**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Mykonos",
        "Nice"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Prague",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You would like to visit Stockholm for 2 days. From day 22 to day 23, there is a annual show you want to attend in Stockholm. You plan to stay in Prague for 3 days. You want to spend 2 days in Nice. You plan to visit relatives in Nice between day 14 and day 15. You plan to stay in Budapest for 5 days. You would like to visit Venice for 5 days. You want to meet a friend in Venice between day 15 and day 19. You want to spend 5 days in Mykonos. You plan to stay in Dubrovnik for 2 days. You want to spend 4 days in Krakow.\n\nHere are the cities that have direct flights:\nStockholm and Dubrovnik, Nice and Venice, Krakow and Berlin, Budapest and Berlin, Prague and Stockholm, Berlin and Stockholm, Krakow and Stockholm, Budapest and Mykonos, Nice and Berlin, Nice and Stockholm, Mykonos and Nice, Budapest and Nice, Venice and Berlin, Krakow and Prague, Prague and Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You would like to visit Stockholm for 2 days. From day 22 to day 23, there is a annual show you want to attend in Stockholm. You plan to stay in Prague for 3 days. You want to spend 2 days in Nice. You plan to visit relatives in Nice between day 14 and day 15. You plan to stay in Budapest for 5 days. You would like to visit Venice for 5 days. You want to meet a friend in Venice between day 15 and day 19. You want to spend 5 days in Mykonos. You plan to stay in Dubrovnik for 2 days. You want to spend 4 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Dubrovnik, from Nice to Venice, from Krakow to Berlin, from Budapest to Berlin, from Prague to Stockholm, from Berlin to Stockholm, from Krakow to Stockholm, from Budapest to Mykonos, from Nice to Berlin, from Nice to Stockholm, from Mykonos to Nice, from Budapest to Nice, from Venice to Berlin, from Krakow to Prague, from Prague to Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.\n**Day 14:** Fly from Mykonos to Nice.\n**Day 14-15:** Visit Nice for 2 days.\n**Day 15:** Fly from Nice to Venice.\n**Day 15-19:** Visit Venice for 5 days.\n**Day 19:** Fly from Venice to Berlin.\n**Day 19-22:** Visit Berlin for 4 days.\n**Day 22:** Fly from Berlin to Stockholm.\n**Day 22-23:** Visit Stockholm for 2 days.\n**Day 23:** Fly from Stockholm to Dubrovnik.\n**Day 23-24:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1256",
    "estimated_output_tokens": 7085,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Prague, Duration: 3 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Budapest, Duration: 5 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Mykonos, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 14 - 15.\n* City: Venice, Fixed Schedule: Day 15 - 19.\n* City: Stockholm, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Prague, Budapest, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Berlin is Day 4. The arrival day of Nice is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Budapest, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Berlin to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Berlin to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Prague is Day 3. The arrival day of Nice is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Budapest, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 14 - 15).\n   |- The departure day of Budapest is Day 7. The arrival day of Nice is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 14 - 15).\n     |- The departure day of Berlin is Day 10. The arrival day of Nice is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Prague, Budapest, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Dubrovnik, Krakow] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Berlin to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Berlin to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 14 - 15).\n     |- The departure day of Mykonos is Day 11. The arrival day of Nice is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Prague, Budapest, Mykonos].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik, Krakow] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Mykonos to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Mykonos to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Mykonos to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Budapest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Budapest is Day 5. The arrival day of Nice is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 14 - 15).\n   |- The departure day of Berlin is Day 8. The arrival day of Nice is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Budapest, Berlin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Dubrovnik, Krakow] and explore these options in order.\n     |- Try arranging to visit Prague from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Berlin to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Berlin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Berlin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Berlin to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 14 - 15).\n   |- The departure day of Mykonos is Day 9. The arrival day of Nice is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Budapest, Mykonos].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Dubrovnik, Krakow] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Mykonos to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Mykonos to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Mykonos to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Mykonos to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Budapest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Mykonos is Day 5. The arrival day of Nice is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Budapest, Dubrovnik, Krakow] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Nice is Day 14. Day 2 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Budapest, Mykonos, Krakow] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 14 - 15).\n |- The departure day of Krakow is Day 4. The arrival day of Nice is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Prague, Budapest, Mykonos, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Krakow to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 14 - 15).\n   |- The departure day of Berlin is Day 7. The arrival day of Nice is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Krakow, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Budapest, Mykonos, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Berlin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Krakow to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 14 - 15).\n   |- The departure day of Prague is Day 6. The arrival day of Nice is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Budapest, Mykonos, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 14 - 15).\n     |- The departure day of Budapest is Day 10. The arrival day of Nice is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Prague, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Mykonos, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Budapest to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 14 - 15).\n       |- The departure day of Berlin is Day 13. The arrival day of Nice is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Krakow, Prague, Budapest, Berlin].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Berlin to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 14 - 15).\n       |- The departure day of Mykonos is Day 14. The arrival day of Nice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Krakow, Prague, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Mykonos to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Venice (Day 15 - 19).\n         |- The departure day of Nice is Day 15. The arrival day of Venice is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Krakow, Prague, Budapest, Mykonos, Nice].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Nice to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 22 - 23).\n           |- The departure day of Venice is Day 19. The arrival day of Stockholm is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Krakow, Prague, Budapest, Mykonos, Nice, Venice].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Venice to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stockholm (Day 22 - 23).\n             |- The departure day of Berlin is Day 22. The arrival day of Stockholm is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Krakow, Prague, Budapest, Mykonos, Nice, Venice, Berlin].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Berlin to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Krakow, Prague, Budapest, Mykonos, Nice, Venice, Berlin, Stockholm].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Stockholm to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Krakow, Prague, Budapest, Mykonos, Nice, Venice, Berlin, Stockholm, Dubrovnik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Prague.\n**Day 4-6:** Visit Prague for 3 days.\n**Day 6:** Fly from Prague to Budapest.\n**Day 6-10:** Visit Budapest for 5 days.\n**Day 10:** Fly from Budapest to Mykonos.\n**Day 10-14:** Visit Mykonos for 5 days.\n**Day 14:** Fly from Mykonos to Nice.\n**Day 14-15:** Visit Nice for 2 days.\n**Day 15:** Fly from Nice to Venice.\n**Day 15-19:** Visit Venice for 5 days.\n**Day 19:** Fly from Venice to Berlin.\n**Day 19-22:** Visit Berlin for 4 days.\n**Day 22:** Fly from Berlin to Stockholm.\n**Day 22-23:** Visit Stockholm for 2 days.\n**Day 23:** Fly from Stockholm to Dubrovnik.\n**Day 23-24:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Rome**Lyon**Lisbon**Krakow**Edinburgh**Helsinki**Reykjavik**Brussels",
    "ground_truth_durations": "3**3**5**3**5**5**5**5**3",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 27,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to spend 3 days in Rome. You plan to stay in Edinburgh for 5 days. You plan to visit relatives in Edinburgh between day 15 and day 19. You plan to stay in Lisbon for 3 days. You plan to stay in Krakow for 5 days. You would like to visit Helsinki for 5 days. You would like to visit Lyon for 5 days. During day 5 and day 9, you have to attend a conference in Lyon. You plan to stay in Brussels for 3 days. You want to meet a friend in Brussels between day 27 and day 29. You would like to visit Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 1 and day 3.\n\nHere are the cities that have direct flights:\nHelsinki and Reykjavik, Lisbon and Brussels, Rome and Brussels, Lisbon and Helsinki, Rome and Helsinki, Lisbon and Reykjavik, Krakow and Brussels, Edinburgh and Helsinki, Stockholm and Helsinki, Helsinki and Brussels, Krakow and Edinburgh, Stockholm and Rome, Stockholm and Reykjavik, Stockholm and Edinburgh, Lisbon and Krakow, Rome and Edinburgh, Lyon and Lisbon, Lyon and Brussels, Stockholm and Lisbon, Krakow and Helsinki, Edinburgh and Brussels, Rome and Reykjavik, Stockholm and Krakow, Rome and Lyon, Rome and Lisbon, Stockholm and Brussels, Reykjavik and Brussels.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to spend 3 days in Rome. You plan to stay in Edinburgh for 5 days. You plan to visit relatives in Edinburgh between day 15 and day 19. You plan to stay in Lisbon for 3 days. You plan to stay in Krakow for 5 days. You would like to visit Helsinki for 5 days. You would like to visit Lyon for 5 days. During day 5 and day 9, you have to attend a conference in Lyon. You plan to stay in Brussels for 3 days. You want to meet a friend in Brussels between day 27 and day 29. You would like to visit Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Reykjavik, from Lisbon to Brussels, from Rome to Brussels, from Lisbon to Helsinki, from Rome to Helsinki, from Lisbon to Reykjavik, from Krakow to Brussels, from Edinburgh to Helsinki, from Stockholm to Helsinki, from Helsinki to Brussels, from Krakow to Edinburgh, from Stockholm to Rome, from Stockholm to Reykjavik, from Stockholm to Edinburgh, from Lisbon to Krakow, from Rome to Edinburgh, from Lyon to Lisbon, from Lyon to Brussels, from Stockholm to Lisbon, from Krakow to Helsinki, from Edinburgh to Brussels, from Rome to Reykjavik, from Stockholm to Krakow, from Rome to Lyon, from Rome to Lisbon, from Stockholm to Brussels, from Reykjavik to Brussels.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Edinburgh.\n**Day 15-19:** Visit Edinburgh for 5 days.\n**Day 19:** Fly from Edinburgh to Helsinki.\n**Day 19-23:** Visit Helsinki for 5 days.\n**Day 23:** Fly from Helsinki to Reykjavik.\n**Day 23-27:** Visit Reykjavik for 5 days.\n**Day 27:** Fly from Reykjavik to Brussels.\n**Day 27-29:** Visit Brussels for 3 days.",
    "id": "trip_planning_example_1257",
    "estimated_output_tokens": 2804,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Lisbon, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 27 - 29.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Fixed Schedule: Day 5 - 9.\n* City: Edinburgh, Fixed Schedule: Day 15 - 19.\n* City: Brussels, Fixed Schedule: Day 27 - 29.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Krakow, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 9).\n |- The departure day of Stockholm is Day 3. The arrival day of Lyon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Rome, Lisbon, Krakow, Helsinki] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Lyon is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 15 - 19).\n     |- The departure day of Lyon is Day 9. The arrival day of Edinburgh is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Rome, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lisbon, Krakow, Helsinki] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lyon to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 15 - 19).\n       |- The departure day of Lisbon is Day 11. The arrival day of Edinburgh is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stockholm, Rome, Lyon, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Krakow, Helsinki] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Edinburgh (Day 15 - 19).\n         |- The departure day of Reykjavik is Day 15. The arrival day of Edinburgh is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stockholm, Rome, Lyon, Lisbon, Reykjavik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Reykjavik to Edinburgh.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Edinburgh (Day 15 - 19).\n         |- The departure day of Krakow is Day 15. The arrival day of Edinburgh is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Stockholm, Rome, Lyon, Lisbon, Krakow].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Krakow to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Brussels (Day 27 - 29).\n           |- The departure day of Edinburgh is Day 19. The arrival day of Brussels is Day 27. Day 19 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stockholm, Rome, Lyon, Lisbon, Krakow, Edinburgh].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Edinburgh to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Edinburgh to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Brussels (Day 27 - 29).\n             |- The departure day of Helsinki is Day 23. The arrival day of Brussels is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Stockholm, Rome, Lyon, Lisbon, Krakow, Edinburgh, Helsinki].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Helsinki to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Brussels (Day 27 - 29).\n               |- The departure day of Reykjavik is Day 27. The arrival day of Brussels is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Stockholm, Rome, Lyon, Lisbon, Krakow, Edinburgh, Helsinki, Reykjavik].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- Yes. The city with an arrival day of Day 27 - is fixed: Brussels.\n                 |- Try arranging to visit Brussels from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                 |- Check for direct flight from Reykjavik to Brussels.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Stockholm, Rome, Lyon, Lisbon, Krakow, Edinburgh, Helsinki, Reykjavik, Brussels].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-11:** Visit Lisbon for 3 days.\n**Day 11:** Fly from Lisbon to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Edinburgh.\n**Day 15-19:** Visit Edinburgh for 5 days.\n**Day 19:** Fly from Edinburgh to Helsinki.\n**Day 19-23:** Visit Helsinki for 5 days.\n**Day 23:** Fly from Helsinki to Reykjavik.\n**Day 23-27:** Visit Reykjavik for 5 days.\n**Day 27:** Fly from Reykjavik to Brussels.\n**Day 27-29:** Visit Brussels for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Rome**Edinburgh**Brussels**Hamburg**Salzburg**Berlin**Vienna**Seville",
    "ground_truth_durations": "4**2**5**4**5**2**5**2**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 2 days. You would like to visit Hamburg for 5 days. From day 12 to day 16, there is a annual show you want to attend in Hamburg. You would like to visit Brussels for 4 days. You want to spend 2 days in Vienna. You want to spend 4 days in Seville. You want to spend 5 days in Berlin. You want to spend 4 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 4. You would like to visit Rome for 2 days. You would like to visit Edinburgh for 5 days. You want to meet a friend in Edinburgh between day 5 and day 9.\n\nHere are the cities that have direct flights:\nHamburg and Vienna, Frankfurt and Rome, Brussels and Hamburg, Rome and Hamburg, Frankfurt and Edinburgh, Rome and Seville, Edinburgh and Seville, Edinburgh and Berlin, Rome and Edinburgh, Edinburgh and Hamburg, Frankfurt and Berlin, Rome and Vienna, Frankfurt and Hamburg, Hamburg and Salzburg, Rome and Brussels, Frankfurt and Vienna, Vienna and Seville, Brussels and Berlin, Brussels and Vienna, Berlin and Vienna, Brussels and Seville, Salzburg and Berlin, Frankfurt and Salzburg, from Brussels to Frankfurt, Rome and Berlin, Edinburgh and Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Salzburg for 2 days. You would like to visit Hamburg for 5 days. From day 12 to day 16, there is a annual show you want to attend in Hamburg. You would like to visit Brussels for 4 days. You want to spend 2 days in Vienna. You want to spend 4 days in Seville. You want to spend 5 days in Berlin. You want to spend 4 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 4. You would like to visit Rome for 2 days. You would like to visit Edinburgh for 5 days. You want to meet a friend in Edinburgh between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Vienna, from Frankfurt to Rome, from Brussels to Hamburg, from Rome to Hamburg, from Frankfurt to Edinburgh, from Rome to Seville, from Edinburgh to Seville, from Edinburgh to Berlin, from Rome to Edinburgh, from Edinburgh to Hamburg, from Frankfurt to Berlin, from Rome to Vienna, from Frankfurt to Hamburg, from Hamburg to Salzburg, from Rome to Brussels, from Frankfurt to Vienna, from Vienna to Seville, from Brussels to Berlin, from Brussels to Vienna, from Berlin to Vienna, from Brussels to Seville, from Salzburg to Berlin, from Frankfurt to Salzburg, from Brussels to Frankfurt, from Rome to Berlin, from Edinburgh to Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Edinburgh.\n**Day 5-9:** Visit Edinburgh for 5 days.\n**Day 9:** Fly from Edinburgh to Brussels.\n**Day 9-12:** Visit Brussels for 4 days.\n**Day 12:** Fly from Brussels to Hamburg.\n**Day 12-16:** Visit Hamburg for 5 days.\n**Day 16:** Fly from Hamburg to Salzburg.\n**Day 16-17:** Visit Salzburg for 2 days.\n**Day 17:** Fly from Salzburg to Berlin.\n**Day 17-21:** Visit Berlin for 5 days.\n**Day 21:** Fly from Berlin to Vienna.\n**Day 21-22:** Visit Vienna for 2 days.\n**Day 22:** Fly from Vienna to Seville.\n**Day 22-25:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1258",
    "estimated_output_tokens": 2981,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 2 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Brussels, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 2 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Fixed Schedule: Day 5 - 9.\n* City: Hamburg, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Brussels, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 9).\n |- The departure day of Frankfurt is Day 4. The arrival day of Edinburgh is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Brussels, Vienna, Seville, Berlin, Rome] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Frankfurt to Salzburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 9).\n   |- The departure day of Salzburg is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Frankfurt, Salzburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Salzburg to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Frankfurt to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 9).\n   |- The departure day of Vienna is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Frankfurt, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Edinburgh.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Frankfurt to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 9).\n   |- The departure day of Berlin is Day 8. The arrival day of Edinburgh is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Frankfurt to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Frankfurt, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 12 - 16).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Hamburg is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Brussels, Vienna, Seville, Berlin] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Edinburgh to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Edinburgh to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 12 - 16).\n       |- The departure day of Brussels is Day 12. The arrival day of Hamburg is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Frankfurt, Rome, Edinburgh, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Hamburg.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Frankfurt, Rome, Edinburgh, Brussels, Hamburg].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Vienna, Seville, Berlin] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Hamburg to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Frankfurt, Rome, Edinburgh, Brussels, Hamburg, Salzburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Seville, Berlin] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Salzburg to Vienna.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Salzburg to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Salzburg to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Frankfurt, Rome, Edinburgh, Brussels, Hamburg, Salzburg, Berlin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna, Seville] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Berlin to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Frankfurt, Rome, Edinburgh, Brussels, Hamburg, Salzburg, Berlin, Vienna].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Vienna to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Frankfurt, Rome, Edinburgh, Brussels, Hamburg, Salzburg, Berlin, Vienna, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Edinburgh.\n**Day 5-9:** Visit Edinburgh for 5 days.\n**Day 9:** Fly from Edinburgh to Brussels.\n**Day 9-12:** Visit Brussels for 4 days.\n**Day 12:** Fly from Brussels to Hamburg.\n**Day 12-16:** Visit Hamburg for 5 days.\n**Day 16:** Fly from Hamburg to Salzburg.\n**Day 16-17:** Visit Salzburg for 2 days.\n**Day 17:** Fly from Salzburg to Berlin.\n**Day 17-21:** Visit Berlin for 5 days.\n**Day 21:** Fly from Berlin to Vienna.\n**Day 21-22:** Visit Vienna for 2 days.\n**Day 22:** Fly from Vienna to Seville.\n**Day 22-25:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Stockholm**Madrid**Dubrovnik**Athens**Vilnius**Copenhagen**Valencia**Porto",
    "ground_truth_durations": "2**4**4**3**2**4**4**5**4",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Athens",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You would like to visit Valencia for 5 days. From day 17 to day 21, there is a annual show you want to attend in Valencia. You want to spend 4 days in Stockholm. You would like to visit Vilnius for 4 days. You plan to stay in Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 1 and day 2. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Copenhagen. You plan to stay in Porto for 4 days. You would like to visit Madrid for 4 days. During day 5 and day 8, you have to attend a conference in Madrid.\n\nHere are the cities that have direct flights:\nStockholm and Madrid, Stockholm and Athens, Madrid and Dubrovnik, Madrid and Copenhagen, Vilnius and Copenhagen, Copenhagen and Valencia, Madrid and Porto, Stockholm and Copenhagen, from Valencia to Athens, Valencia and Porto, Copenhagen and Porto, Stuttgart and Stockholm, Stuttgart and Valencia, Stuttgart and Athens, Stuttgart and Porto, Madrid and Valencia, Dubrovnik and Copenhagen, Stuttgart and Copenhagen, Dubrovnik and Athens, Stockholm and Dubrovnik, Athens and Vilnius, Madrid and Athens, Athens and Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Athens. You would like to visit Valencia for 5 days. From day 17 to day 21, there is a annual show you want to attend in Valencia. You want to spend 4 days in Stockholm. You would like to visit Vilnius for 4 days. You plan to stay in Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 1 and day 2. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Copenhagen. You plan to stay in Porto for 4 days. You would like to visit Madrid for 4 days. During day 5 and day 8, you have to attend a conference in Madrid.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Madrid, from Stockholm to Athens, from Madrid to Dubrovnik, from Madrid to Copenhagen, from Vilnius to Copenhagen, from Copenhagen to Valencia, from Madrid to Porto, from Stockholm to Copenhagen, from Valencia to Athens, from Valencia to Porto, from Copenhagen to Porto, from Stuttgart to Stockholm, from Stuttgart to Valencia, from Stuttgart to Athens, from Stuttgart to Porto, from Madrid to Valencia, from Dubrovnik to Copenhagen, from Stuttgart to Copenhagen, from Dubrovnik to Athens, from Stockholm to Dubrovnik, from Athens to Vilnius, from Madrid to Athens, from Athens to Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.\n**Day 10:** Fly from Dubrovnik to Athens.\n**Day 10-11:** Visit Athens for 2 days.\n**Day 11:** Fly from Athens to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Porto.\n**Day 21-24:** Visit Porto for 4 days.",
    "id": "trip_planning_example_1259",
    "estimated_output_tokens": 4584,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Stockholm, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Athens, Duration: 2 days.\n* City: Stockholm, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 8).\n |- The departure day of Stuttgart is Day 2. The arrival day of Madrid is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Stockholm, Vilnius, Dubrovnik, Copenhagen, Porto] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stuttgart to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 5 - 8).\n   |- The departure day of Athens is Day 3. The arrival day of Madrid is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stuttgart, Athens].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Vilnius, Dubrovnik, Copenhagen, Porto] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Athens to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Athens to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 5 - 8).\n     |- The departure day of Vilnius is Day 6. The arrival day of Madrid is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Athens to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Athens to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 5 - 8).\n     |- The departure day of Copenhagen is Day 6. The arrival day of Madrid is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Athens to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 5 - 8).\n   |- The departure day of Stockholm is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 17 - 21).\n     |- The departure day of Madrid is Day 8. The arrival day of Valencia is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Stockholm, Madrid].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Dubrovnik, Copenhagen, Porto] and explore these options in order.\n       |- Try arranging to visit Athens from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Madrid to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 17 - 21).\n       |- The departure day of Athens is Day 9. The arrival day of Valencia is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Stuttgart, Stockholm, Madrid, Athens].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik, Copenhagen, Porto] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Athens to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 17 - 21).\n         |- The departure day of Vilnius is Day 12. The arrival day of Valencia is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stuttgart, Stockholm, Madrid, Athens, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen, Porto] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Vilnius to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 17 - 21).\n           |- The departure day of Copenhagen is Day 15. The arrival day of Valencia is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Stuttgart, Stockholm, Madrid, Athens, Vilnius, Copenhagen].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Copenhagen to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Copenhagen to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 17 - 21).\n             |- The departure day of Porto is Day 18. The arrival day of Valencia is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Athens to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 17 - 21).\n         |- The departure day of Copenhagen is Day 12. The arrival day of Valencia is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Stuttgart, Stockholm, Madrid, Athens, Copenhagen].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik, Porto] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Copenhagen to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Copenhagen to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Copenhagen to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 17 - 21).\n           |- The departure day of Porto is Day 15. The arrival day of Valencia is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Stuttgart, Stockholm, Madrid, Athens, Copenhagen, Porto].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Porto to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Porto to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Athens to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Madrid to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Madrid to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 17 - 21).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Valencia is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Copenhagen, Porto] and explore these options in order.\n         |- Try arranging to visit Athens from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Dubrovnik to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 17 - 21).\n         |- The departure day of Athens is Day 11. The arrival day of Valencia is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik, Athens].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Copenhagen, Porto] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Athens to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 21).\n           |- The departure day of Vilnius is Day 14. The arrival day of Valencia is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik, Athens, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Porto] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vilnius to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 17 - 21).\n             |- The departure day of Copenhagen is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik, Athens, Vilnius, Copenhagen].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Copenhagen to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik, Athens, Vilnius, Copenhagen, Valencia].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Valencia to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Stuttgart, Stockholm, Madrid, Dubrovnik, Athens, Vilnius, Copenhagen, Valencia, Porto].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to Stockholm.\n**Day 2-5:** Visit Stockholm for 4 days.\n**Day 5:** Fly from Stockholm to Madrid.\n**Day 5-8:** Visit Madrid for 4 days.\n**Day 8:** Fly from Madrid to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.\n**Day 10:** Fly from Dubrovnik to Athens.\n**Day 10-11:** Visit Athens for 2 days.\n**Day 11:** Fly from Athens to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Porto.\n**Day 21-24:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Milan**Split**Paris**Bucharest**Santorini**Madrid**Berlin**Salzburg",
    "ground_truth_durations": "4**2**5**5**3**5**3**4**3",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Santorini"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Milan",
        "Berlin"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Split",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 5 days. You plan to stay in Berlin for 4 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 4 and day 5. You want to spend 5 days in Paris. You would like to visit Bucharest for 3 days. From day 13 to day 15, there is a annual show you want to attend in Bucharest. You plan to stay in Athens for 4 days. You have to attend a workshop in Athens between day 1 and day 4. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 5 and day 9. You would like to visit Salzburg for 3 days. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Santorini, Athens and Berlin, Milan and Santorini, Paris and Berlin, Santorini and Madrid, Milan and Berlin, Madrid and Berlin, Bucharest and Madrid, Milan and Split, Athens and Bucharest, Split and Paris, Athens and Split, Athens and Milan, Athens and Paris, Paris and Madrid, Bucharest and Santorini, Milan and Paris, Milan and Madrid, Berlin and Salzburg, Paris and Bucharest, Athens and Madrid, Split and Berlin, Split and Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 5 days. You plan to stay in Berlin for 4 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 4 and day 5. You want to spend 5 days in Paris. You would like to visit Bucharest for 3 days. From day 13 to day 15, there is a annual show you want to attend in Bucharest. You plan to stay in Athens for 4 days. You have to attend a workshop in Athens between day 1 and day 4. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 5 and day 9. You would like to visit Salzburg for 3 days. You would like to visit Madrid for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Santorini, from Athens to Berlin, from Milan to Santorini, from Paris to Berlin, from Santorini to Madrid, from Milan to Berlin, from Madrid to Berlin, from Bucharest to Madrid, from Milan to Split, from Athens to Bucharest, from Split to Paris, from Athens to Split, from Athens to Milan, from Athens to Paris, from Paris to Madrid, from Bucharest to Santorini, from Milan to Paris, from Milan to Madrid, from Berlin to Salzburg, from Paris to Bucharest, from Athens to Madrid, from Split to Berlin, from Split to Madrid.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Milan.\n**Day 4-5:** Visit Milan for 2 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Paris.\n**Day 9-13:** Visit Paris for 5 days.\n**Day 13:** Fly from Paris to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Madrid.\n**Day 19-21:** Visit Madrid for 3 days.\n**Day 21:** Fly from Madrid to Berlin.\n**Day 21-24:** Visit Berlin for 4 days.\n**Day 24:** Fly from Berlin to Salzburg.\n**Day 24-26:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1260",
    "estimated_output_tokens": 2785,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Paris, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Salzburg, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Milan, Fixed Schedule: Day 4 - 5.\n* City: Split, Fixed Schedule: Day 5 - 9.\n* City: Bucharest, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Santorini, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 5).\n |- The departure day of Athens is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 5 - 9).\n   |- The departure day of Milan is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 13 - 15).\n     |- The departure day of Split is Day 9. The arrival day of Bucharest is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Milan, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Berlin, Paris, Salzburg, Madrid] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Split to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 13 - 15).\n       |- The departure day of Berlin is Day 12. The arrival day of Bucharest is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Athens, Milan, Split, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Paris, Salzburg, Madrid] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 13 - 15).\n         |- The departure day of Salzburg is Day 14. The arrival day of Bucharest is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Berlin to Madrid.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 13 - 15).\n       |- The departure day of Paris is Day 13. The arrival day of Bucharest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Milan, Split, Paris].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Paris to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Milan, Split, Paris, Bucharest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Berlin, Salzburg, Madrid] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Bucharest to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Athens, Milan, Split, Paris, Bucharest, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Madrid] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Santorini to Berlin.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Madrid from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Athens, Milan, Split, Paris, Bucharest, Santorini, Madrid].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Madrid to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Athens, Milan, Split, Paris, Bucharest, Santorini, Madrid, Berlin].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Berlin to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Athens, Milan, Split, Paris, Bucharest, Santorini, Madrid, Berlin, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Milan.\n**Day 4-5:** Visit Milan for 2 days.\n**Day 5:** Fly from Milan to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Paris.\n**Day 9-13:** Visit Paris for 5 days.\n**Day 13:** Fly from Paris to Bucharest.\n**Day 13-15:** Visit Bucharest for 3 days.\n**Day 15:** Fly from Bucharest to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Madrid.\n**Day 19-21:** Visit Madrid for 3 days.\n**Day 21:** Fly from Madrid to Berlin.\n**Day 21-24:** Visit Berlin for 4 days.\n**Day 24:** Fly from Berlin to Salzburg.\n**Day 24-26:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Geneva**Athens**Bucharest**Zurich**Krakow**Amsterdam**Vienna**Helsinki",
    "ground_truth_durations": "3**4**3**4**2**3**4**2**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Athens"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Vienna"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 18 and day 20 to tour together. You would like to visit Amsterdam for 4 days. During day 14 and day 17, you have to attend a conference in Amsterdam. You would like to visit Athens for 3 days. You would like to visit Geneva for 4 days. You plan to stay in Vienna for 2 days. From day 17 to day 18, there is a annual show you want to attend in Vienna. You would like to visit Krakow for 3 days. You want to spend 4 days in Bucharest. You want to spend 3 days in Nice. You have to attend a workshop in Nice between day 1 and day 3. You plan to stay in Zurich for 2 days.\n\nHere are the cities that have direct flights:\nKrakow and Helsinki, Krakow and Amsterdam, Nice and Athens, Nice and Geneva, Bucharest and Amsterdam, Athens and Zurich, Zurich and Helsinki, Amsterdam and Vienna, Bucharest and Zurich, Bucharest and Vienna, Geneva and Zurich, Nice and Vienna, Geneva and Amsterdam, Geneva and Athens, Krakow and Vienna, Amsterdam and Helsinki, Nice and Amsterdam, Athens and Bucharest, Zurich and Krakow, Nice and Helsinki, Athens and Amsterdam, Zurich and Vienna, Nice and Zurich, Geneva and Vienna, Vienna and Helsinki, Athens and Vienna, Zurich and Amsterdam, Geneva and Helsinki.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Helsinki. You would like to meet your friends at Helsinki between day 18 and day 20 to tour together. You would like to visit Amsterdam for 4 days. During day 14 and day 17, you have to attend a conference in Amsterdam. You would like to visit Athens for 3 days. You would like to visit Geneva for 4 days. You plan to stay in Vienna for 2 days. From day 17 to day 18, there is a annual show you want to attend in Vienna. You would like to visit Krakow for 3 days. You want to spend 4 days in Bucharest. You want to spend 3 days in Nice. You have to attend a workshop in Nice between day 1 and day 3. You plan to stay in Zurich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Helsinki, from Krakow to Amsterdam, from Nice to Athens, from Nice to Geneva, from Bucharest to Amsterdam, from Athens to Zurich, from Zurich to Helsinki, from Amsterdam to Vienna, from Bucharest to Zurich, from Bucharest to Vienna, from Geneva to Zurich, from Nice to Vienna, from Geneva to Amsterdam, from Geneva to Athens, from Krakow to Vienna, from Amsterdam to Helsinki, from Nice to Amsterdam, from Athens to Bucharest, from Zurich to Krakow, from Nice to Helsinki, from Athens to Amsterdam, from Zurich to Vienna, from Nice to Zurich, from Geneva to Vienna, from Vienna to Helsinki, from Athens to Vienna, from Zurich to Amsterdam, from Geneva to Helsinki.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Bucharest.\n**Day 8-11:** Visit Bucharest for 4 days.\n**Day 11:** Fly from Bucharest to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Amsterdam.\n**Day 14-17:** Visit Amsterdam for 4 days.\n**Day 17:** Fly from Amsterdam to Vienna.\n**Day 17-18:** Visit Vienna for 2 days.\n**Day 18:** Fly from Vienna to Helsinki.\n**Day 18-20:** Visit Helsinki for 3 days.",
    "id": "trip_planning_example_1261",
    "estimated_output_tokens": 4134,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Athens, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Krakow, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Zurich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 14 - 17.\n* City: Vienna, Fixed Schedule: Day 17 - 18.\n* City: Helsinki, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Bucharest, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 14 - 17).\n |- The departure day of Nice is Day 3. The arrival day of Amsterdam is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Geneva, Krakow, Bucharest, Zurich] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Nice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 14 - 17).\n   |- The departure day of Athens is Day 5. The arrival day of Amsterdam is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Bucharest, Zurich] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 14 - 17).\n     |- The departure day of Bucharest is Day 8. The arrival day of Amsterdam is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Athens, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Zurich] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Bucharest to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 14 - 17).\n       |- The departure day of Zurich is Day 9. The arrival day of Amsterdam is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Athens, Bucharest, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Zurich to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 14 - 17).\n         |- The departure day of Krakow is Day 11. The arrival day of Amsterdam is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Nice, Athens, Bucharest, Zurich, Krakow].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Krakow to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 14 - 17).\n     |- The departure day of Zurich is Day 6. The arrival day of Amsterdam is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Athens, Zurich].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Bucharest] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Zurich to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Zurich to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 14 - 17).\n       |- The departure day of Krakow is Day 8. The arrival day of Amsterdam is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Nice, Athens, Zurich, Krakow].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Bucharest] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Krakow to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Krakow to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Zurich to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 14 - 17).\n   |- The departure day of Geneva is Day 6. The arrival day of Amsterdam is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Krakow, Bucharest, Zurich] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 14 - 17).\n     |- The departure day of Athens is Day 8. The arrival day of Amsterdam is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Geneva, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Bucharest, Zurich] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Athens to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 14 - 17).\n       |- The departure day of Bucharest is Day 11. The arrival day of Amsterdam is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Geneva, Athens, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Zurich] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Bucharest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Bucharest to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 14 - 17).\n         |- The departure day of Zurich is Day 12. The arrival day of Amsterdam is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Nice, Geneva, Athens, Bucharest, Zurich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Zurich to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 14 - 17).\n           |- The departure day of Krakow is Day 14. The arrival day of Amsterdam is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Nice, Geneva, Athens, Bucharest, Zurich, Krakow].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Krakow to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vienna (Day 17 - 18).\n             |- The departure day of Amsterdam is Day 17. The arrival day of Vienna is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Nice, Geneva, Athens, Bucharest, Zurich, Krakow, Amsterdam].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Vienna.\n               |- Try arranging to visit Vienna from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Amsterdam to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 18 - 20).\n               |- The departure day of Vienna is Day 18. The arrival day of Helsinki is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Nice, Geneva, Athens, Bucharest, Zurich, Krakow, Amsterdam, Vienna].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Helsinki.\n                 |- Try arranging to visit Helsinki from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Vienna to Helsinki.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Nice, Geneva, Athens, Bucharest, Zurich, Krakow, Amsterdam, Vienna, Helsinki].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Geneva.\n**Day 3-6:** Visit Geneva for 4 days.\n**Day 6:** Fly from Geneva to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Bucharest.\n**Day 8-11:** Visit Bucharest for 4 days.\n**Day 11:** Fly from Bucharest to Zurich.\n**Day 11-12:** Visit Zurich for 2 days.\n**Day 12:** Fly from Zurich to Krakow.\n**Day 12-14:** Visit Krakow for 3 days.\n**Day 14:** Fly from Krakow to Amsterdam.\n**Day 14-17:** Visit Amsterdam for 4 days.\n**Day 17:** Fly from Amsterdam to Vienna.\n**Day 17-18:** Visit Vienna for 2 days.\n**Day 18:** Fly from Vienna to Helsinki.\n**Day 18-20:** Visit Helsinki for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Helsinki**Manchester**Barcelona**Valencia**Vienna**Vilnius**Oslo**Porto",
    "ground_truth_durations": "2**5**2**3**4**5**3**2**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Porto"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You plan to stay in Valencia for 4 days. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 1 and day 2 to tour together. You want to spend 5 days in Vienna. You want to spend 5 days in Helsinki. From day 2 to day 6, there is a annual show you want to attend in Helsinki. You want to spend 3 days in Vilnius. You have to attend a workshop in Vilnius between day 16 and day 18. You would like to visit Porto for 4 days. You want to meet a friend in Porto between day 19 and day 22. You plan to stay in Oslo for 2 days. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nOslo and Porto, Vilnius and Oslo, Vienna and Oslo, Istanbul and Vienna, Vienna and Porto, Manchester and Vienna, Barcelona and Oslo, Manchester and Porto, Barcelona and Valencia, Istanbul and Oslo, Istanbul and Manchester, Istanbul and Vilnius, Valencia and Vienna, Istanbul and Barcelona, Helsinki and Barcelona, Helsinki and Manchester, Istanbul and Valencia, Helsinki and Vienna, Helsinki and Oslo, Manchester and Oslo, Barcelona and Vienna, Istanbul and Porto, Istanbul and Helsinki, Vienna and Vilnius, Manchester and Barcelona, Valencia and Porto, Helsinki and Vilnius, Barcelona and Porto.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You plan to stay in Valencia for 4 days. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 1 and day 2 to tour together. You want to spend 5 days in Vienna. You want to spend 5 days in Helsinki. From day 2 to day 6, there is a annual show you want to attend in Helsinki. You want to spend 3 days in Vilnius. You have to attend a workshop in Vilnius between day 16 and day 18. You would like to visit Porto for 4 days. You want to meet a friend in Porto between day 19 and day 22. You plan to stay in Oslo for 2 days. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Oslo to Porto, from Vilnius to Oslo, from Vienna to Oslo, from Istanbul to Vienna, from Vienna to Porto, from Manchester to Vienna, from Barcelona to Oslo, from Manchester to Porto, from Barcelona to Valencia, from Istanbul to Oslo, from Istanbul to Manchester, from Istanbul to Vilnius, from Valencia to Vienna, from Istanbul to Barcelona, from Helsinki to Barcelona, from Helsinki to Manchester, from Istanbul to Valencia, from Helsinki to Vienna, from Helsinki to Oslo, from Manchester to Oslo, from Barcelona to Vienna, from Istanbul to Porto, from Istanbul to Helsinki, from Vienna to Vilnius, from Manchester to Barcelona, from Valencia to Porto, from Helsinki to Vilnius, from Barcelona to Porto.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Istanbul and visit Istanbul for 2 days.\n**Day 2:** Fly from Istanbul to Helsinki.\n**Day 2-6:** Visit Helsinki for 5 days.\n**Day 6:** Fly from Helsinki to Manchester.\n**Day 6-7:** Visit Manchester for 2 days.\n**Day 7:** Fly from Manchester to Barcelona.\n**Day 7-9:** Visit Barcelona for 3 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Oslo.\n**Day 18-19:** Visit Oslo for 2 days.\n**Day 19:** Fly from Oslo to Porto.\n**Day 19-22:** Visit Porto for 4 days.",
    "id": "trip_planning_example_1262",
    "estimated_output_tokens": 5536,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Vienna, Duration: 5 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Oslo, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Fixed Schedule: Day 2 - 6.\n* City: Vilnius, Fixed Schedule: Day 16 - 18.\n* City: Porto, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Oslo, Duration: 2 days.\n* City: Manchester, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 6).\n |- The departure day of Istanbul is Day 2. The arrival day of Helsinki is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Istanbul to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Vilnius (Day 16 - 18).\n   |- The departure day of Helsinki is Day 6. The arrival day of Vilnius is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Valencia, Vienna, Oslo, Manchester] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Helsinki to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 16 - 18).\n     |- The departure day of Barcelona is Day 8. The arrival day of Vilnius is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Helsinki, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna, Oslo, Manchester] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Barcelona to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 16 - 18).\n       |- The departure day of Valencia is Day 11. The arrival day of Vilnius is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Helsinki, Barcelona, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Oslo, Manchester] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Valencia to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 16 - 18).\n         |- The departure day of Vienna is Day 15. The arrival day of Vilnius is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Istanbul, Helsinki, Barcelona, Valencia, Vienna].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Manchester] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 16 - 18).\n           |- The departure day of Oslo is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Helsinki, Barcelona, Valencia, Vienna, Oslo].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Oslo to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Oslo from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Valencia to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Valencia to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Barcelona to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 16 - 18).\n       |- The departure day of Vienna is Day 12. The arrival day of Vilnius is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Istanbul, Helsinki, Barcelona, Vienna].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Oslo, Manchester] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Vienna to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vienna to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 18).\n         |- The departure day of Oslo is Day 13. The arrival day of Vilnius is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Istanbul, Helsinki, Barcelona, Vienna, Oslo].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Manchester] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Oslo to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Oslo to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Manchester from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vienna to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 16 - 18).\n       |- The departure day of Oslo is Day 9. The arrival day of Vilnius is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Istanbul, Helsinki, Barcelona, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna, Manchester] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Oslo to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 16 - 18).\n     |- The departure day of Vienna is Day 10. The arrival day of Vilnius is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Istanbul, Helsinki, Vienna].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Valencia, Oslo, Manchester] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vienna to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Vienna to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vienna to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 16 - 18).\n       |- The departure day of Oslo is Day 11. The arrival day of Vilnius is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Helsinki, Vienna, Oslo].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Valencia, Manchester] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Oslo to Barcelona.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Oslo to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vienna to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 16 - 18).\n     |- The departure day of Oslo is Day 7. The arrival day of Vilnius is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Helsinki, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Valencia, Vienna, Manchester] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Oslo to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Oslo to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 16 - 18).\n     |- The departure day of Manchester is Day 7. The arrival day of Vilnius is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Helsinki, Manchester].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Valencia, Vienna, Oslo] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Manchester to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 16 - 18).\n       |- The departure day of Barcelona is Day 9. The arrival day of Vilnius is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Istanbul, Helsinki, Manchester, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Vienna, Oslo] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Barcelona to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 16 - 18).\n         |- The departure day of Valencia is Day 12. The arrival day of Vilnius is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Istanbul, Helsinki, Manchester, Barcelona, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Oslo] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Valencia to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 18).\n           |- The departure day of Vienna is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Istanbul, Helsinki, Manchester, Barcelona, Valencia, Vienna].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Vienna to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Porto (Day 19 - 22).\n             |- The departure day of Vilnius is Day 18. The arrival day of Porto is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Istanbul, Helsinki, Manchester, Barcelona, Valencia, Vienna, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Vilnius to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Porto (Day 19 - 22).\n               |- The departure day of Oslo is Day 19. The arrival day of Porto is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Istanbul, Helsinki, Manchester, Barcelona, Valencia, Vienna, Vilnius, Oslo].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Porto.\n                 |- Try arranging to visit Porto from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Oslo to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Istanbul, Helsinki, Manchester, Barcelona, Valencia, Vienna, Vilnius, Oslo, Porto].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Istanbul and visit Istanbul for 2 days.\n**Day 2:** Fly from Istanbul to Helsinki.\n**Day 2-6:** Visit Helsinki for 5 days.\n**Day 6:** Fly from Helsinki to Manchester.\n**Day 6-7:** Visit Manchester for 2 days.\n**Day 7:** Fly from Manchester to Barcelona.\n**Day 7-9:** Visit Barcelona for 3 days.\n**Day 9:** Fly from Barcelona to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to Vienna.\n**Day 12-16:** Visit Vienna for 5 days.\n**Day 16:** Fly from Vienna to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Oslo.\n**Day 18-19:** Visit Oslo for 2 days.\n**Day 19:** Fly from Oslo to Porto.\n**Day 19-22:** Visit Porto for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Athens**Frankfurt**Lyon**Porto**Stuttgart**Stockholm**Riga**Vienna",
    "ground_truth_durations": "4**5**2**5**3**5**2**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You want to spend 5 days in Athens. You want to meet a friend in Athens between day 4 and day 8. You would like to visit Stuttgart for 5 days. You want to spend 4 days in Valencia. You plan to stay in Vienna for 2 days. During day 23 and day 24, you have to attend a conference in Vienna. You would like to visit Stockholm for 2 days. You would like to visit Lyon for 5 days. You are going to attend a wedding in Lyon between day 9 and day 13. You plan to stay in Frankfurt for 2 days. You would like to visit Porto for 3 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Porto, Valencia and Vienna, Athens and Frankfurt, Stockholm and Vienna, Frankfurt and Stockholm, Stockholm and Riga, Lyon and Porto, Valencia and Frankfurt, Porto and Stuttgart, Frankfurt and Stuttgart, Stuttgart and Vienna, Porto and Vienna, Athens and Stuttgart, Lyon and Vienna, Athens and Stockholm, Athens and Vienna, Valencia and Lyon, Frankfurt and Vienna, Riga and Vienna, from Valencia to Athens, Stuttgart and Stockholm, Frankfurt and Riga, Valencia and Porto, from Athens to Riga, Valencia and Stuttgart, Frankfurt and Lyon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 4 days. You want to spend 5 days in Athens. You want to meet a friend in Athens between day 4 and day 8. You would like to visit Stuttgart for 5 days. You want to spend 4 days in Valencia. You plan to stay in Vienna for 2 days. During day 23 and day 24, you have to attend a conference in Vienna. You would like to visit Stockholm for 2 days. You would like to visit Lyon for 5 days. You are going to attend a wedding in Lyon between day 9 and day 13. You plan to stay in Frankfurt for 2 days. You would like to visit Porto for 3 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Porto, from Valencia to Vienna, from Athens to Frankfurt, from Stockholm to Vienna, from Frankfurt to Stockholm, from Stockholm to Riga, from Lyon to Porto, from Valencia to Frankfurt, from Porto to Stuttgart, from Frankfurt to Stuttgart, from Stuttgart to Vienna, from Porto to Vienna, from Athens to Stuttgart, from Lyon to Vienna, from Athens to Stockholm, from Athens to Vienna, from Valencia to Lyon, from Frankfurt to Vienna, from Riga to Vienna, from Valencia to Athens, from Stuttgart to Stockholm, from Frankfurt to Riga, from Valencia to Porto, from Athens to Riga, from Valencia to Stuttgart, from Frankfurt to Lyon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Frankfurt.\n**Day 8-9:** Visit Frankfurt for 2 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-15:** Visit Porto for 3 days.\n**Day 15:** Fly from Porto to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Stockholm.\n**Day 19-20:** Visit Stockholm for 2 days.\n**Day 20:** Fly from Stockholm to Riga.\n**Day 20-23:** Visit Riga for 4 days.\n**Day 23:** Fly from Riga to Vienna.\n**Day 23-24:** Visit Vienna for 2 days.",
    "id": "trip_planning_example_1263",
    "estimated_output_tokens": 3329,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Stuttgart, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Stockholm, Duration: 2 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Frankfurt, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 4 - 8.\n* City: Lyon, Fixed Schedule: Day 9 - 13.\n* City: Vienna, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Valencia, Stockholm, Frankfurt, Porto] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Riga is Day 4. The arrival day of Athens is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Stuttgart is Day 5. The arrival day of Athens is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Valencia is Day 4. The arrival day of Athens is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 9 - 13).\n   |- The departure day of Athens is Day 8. The arrival day of Lyon is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Valencia, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Stockholm, Frankfurt, Porto] and explore these options in order.\n     |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n     |- The departure day of Riga is Day 11. The arrival day of Lyon is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Athens to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n     |- The departure day of Stuttgart is Day 12. The arrival day of Lyon is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n     |- The departure day of Stockholm is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Athens, Stockholm].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Stockholm to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 9 - 13).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Lyon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Athens, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Frankfurt to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 23 - 24).\n       |- The departure day of Lyon is Day 13. The arrival day of Vienna is Day 23. Day 13 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Athens, Frankfurt, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Stockholm, Porto] and explore these options in order.\n         |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Lyon to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lyon to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lyon to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Lyon to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 23 - 24).\n         |- The departure day of Porto is Day 15. The arrival day of Vienna is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Athens, Frankfurt, Lyon, Porto].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Stockholm] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Porto to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Porto to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vienna (Day 23 - 24).\n           |- The departure day of Stuttgart is Day 19. The arrival day of Vienna is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Athens, Frankfurt, Lyon, Porto, Stuttgart].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Stockholm] and explore these options in order.\n             |- Try arranging to visit Riga from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Stuttgart to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Stuttgart to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vienna (Day 23 - 24).\n             |- The departure day of Stockholm is Day 20. The arrival day of Vienna is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Valencia, Athens, Frankfurt, Lyon, Porto, Stuttgart, Stockholm].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Stockholm to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vienna (Day 23 - 24).\n               |- The departure day of Riga is Day 23. The arrival day of Vienna is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Valencia, Athens, Frankfurt, Lyon, Porto, Stuttgart, Stockholm, Riga].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Vienna.\n                 |- Try arranging to visit Vienna from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Riga to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Valencia, Athens, Frankfurt, Lyon, Porto, Stuttgart, Stockholm, Riga, Vienna].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Frankfurt.\n**Day 8-9:** Visit Frankfurt for 2 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Porto.\n**Day 13-15:** Visit Porto for 3 days.\n**Day 15:** Fly from Porto to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Stockholm.\n**Day 19-20:** Visit Stockholm for 2 days.\n**Day 20:** Fly from Stockholm to Riga.\n**Day 20-23:** Visit Riga for 4 days.\n**Day 23:** Fly from Riga to Vienna.\n**Day 23-24:** Visit Vienna for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Paris**Seville**Edinburgh**Helsinki**Warsaw**Prague**Lyon**Frankfurt",
    "ground_truth_durations": "3**4**5**5**5**2**4**5**3",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 26,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 10,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Lyon",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You would like to meet your friends at Oslo between day 1 and day 3 to tour together. You plan to stay in Prague for 4 days. You want to spend 3 days in Frankfurt. You plan to visit relatives in Frankfurt between day 26 and day 28. You want to spend 5 days in Lyon. You want to spend 5 days in Seville. You want to meet a friend in Seville between day 6 and day 10. You plan to stay in Helsinki for 5 days. You want to spend 2 days in Warsaw. You would like to visit Paris for 4 days. You would like to visit Edinburgh for 5 days. From day 10 to day 14, there is a annual show you want to attend in Edinburgh.\n\nHere are the cities that have direct flights:\nOslo and Warsaw, Helsinki and Frankfurt, Paris and Frankfurt, Paris and Helsinki, Prague and Frankfurt, Oslo and Paris, Paris and Lyon, Prague and Lyon, Edinburgh and Prague, Seville and Edinburgh, Edinburgh and Frankfurt, Paris and Prague, Oslo and Frankfurt, Oslo and Helsinki, Paris and Edinburgh, Warsaw and Prague, Edinburgh and Helsinki, Helsinki and Warsaw, Paris and Seville, Oslo and Lyon, Oslo and Edinburgh, Oslo and Prague, Paris and Warsaw, Warsaw and Frankfurt, Helsinki and Prague, Lyon and Frankfurt.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You would like to meet your friends at Oslo between day 1 and day 3 to tour together. You plan to stay in Prague for 4 days. You want to spend 3 days in Frankfurt. You plan to visit relatives in Frankfurt between day 26 and day 28. You want to spend 5 days in Lyon. You want to spend 5 days in Seville. You want to meet a friend in Seville between day 6 and day 10. You plan to stay in Helsinki for 5 days. You want to spend 2 days in Warsaw. You would like to visit Paris for 4 days. You would like to visit Edinburgh for 5 days. From day 10 to day 14, there is a annual show you want to attend in Edinburgh.\n\nHere are the cities that have direct flights:\nfrom Oslo to Warsaw, from Helsinki to Frankfurt, from Paris to Frankfurt, from Paris to Helsinki, from Prague to Frankfurt, from Oslo to Paris, from Paris to Lyon, from Prague to Lyon, from Edinburgh to Prague, from Seville to Edinburgh, from Edinburgh to Frankfurt, from Paris to Prague, from Oslo to Frankfurt, from Oslo to Helsinki, from Paris to Edinburgh, from Warsaw to Prague, from Edinburgh to Helsinki, from Helsinki to Warsaw, from Paris to Seville, from Oslo to Lyon, from Oslo to Edinburgh, from Oslo to Prague, from Paris to Warsaw, from Warsaw to Frankfurt, from Helsinki to Prague, from Lyon to Frankfurt.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Edinburgh.\n**Day 10-14:** Visit Edinburgh for 5 days.\n**Day 14:** Fly from Edinburgh to Helsinki.\n**Day 14-18:** Visit Helsinki for 5 days.\n**Day 18:** Fly from Helsinki to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n**Day 19:** Fly from Warsaw to Prague.\n**Day 19-22:** Visit Prague for 4 days.\n**Day 22:** Fly from Prague to Lyon.\n**Day 22-26:** Visit Lyon for 5 days.\n**Day 26:** Fly from Lyon to Frankfurt.\n**Day 26-28:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_1264",
    "estimated_output_tokens": 4454,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 26 - 28.\n* City: Lyon, Duration: 5 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Helsinki, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 3.\n* City: Seville, Fixed Schedule: Day 6 - 10.\n* City: Edinburgh, Fixed Schedule: Day 10 - 14.\n* City: Frankfurt, Fixed Schedule: Day 26 - 28.\n\nCities needing arrangement:\n* City: Prague, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 6 - 10).\n |- The departure day of Oslo is Day 3. The arrival day of Seville is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Lyon, Helsinki, Warsaw, Paris] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 6 - 10).\n   |- The departure day of Prague is Day 6. The arrival day of Seville is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 6 - 10).\n   |- The departure day of Lyon is Day 7. The arrival day of Seville is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Oslo to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 6 - 10).\n   |- The departure day of Helsinki is Day 7. The arrival day of Seville is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 6 - 10).\n   |- The departure day of Warsaw is Day 4. The arrival day of Seville is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Lyon, Helsinki, Paris] and explore these options in order.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 6 - 10).\n     |- The departure day of Prague is Day 7. The arrival day of Seville is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Oslo to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 6 - 10).\n   |- The departure day of Paris is Day 6. The arrival day of Seville is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 10 - 14).\n     |- The departure day of Seville is Day 10. The arrival day of Edinburgh is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Oslo, Paris, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Seville to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 26 - 28).\n       |- The departure day of Edinburgh is Day 14. The arrival day of Frankfurt is Day 26. Day 14 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Oslo, Paris, Seville, Edinburgh].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Lyon, Helsinki, Warsaw] and explore these options in order.\n         |- Try arranging to visit Prague from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Edinburgh to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 26 - 28).\n         |- The departure day of Prague is Day 17. The arrival day of Frankfurt is Day 26. Day 17 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Oslo, Paris, Seville, Edinburgh, Prague].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Helsinki, Warsaw] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Prague to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Frankfurt (Day 26 - 28).\n           |- The departure day of Lyon is Day 21. The arrival day of Frankfurt is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Oslo, Paris, Seville, Edinburgh, Prague, Lyon].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Warsaw] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Lyon to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Lyon to Warsaw.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Prague to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Prague to Warsaw.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Edinburgh to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Edinburgh to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 26 - 28).\n         |- The departure day of Helsinki is Day 18. The arrival day of Frankfurt is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Lyon, Warsaw] and explore these options in order.\n           |- Try arranging to visit Prague from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Helsinki to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 26 - 28).\n           |- The departure day of Prague is Day 21. The arrival day of Frankfurt is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Prague].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Warsaw] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Prague to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Frankfurt (Day 26 - 28).\n             |- The departure day of Lyon is Day 25. The arrival day of Frankfurt is Day 26. Day 25 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Prague, Lyon].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Lyon to Warsaw.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Prague to Warsaw.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Helsinki to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Helsinki to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 26 - 28).\n           |- The departure day of Warsaw is Day 19. The arrival day of Frankfurt is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Warsaw].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague, Lyon] and explore these options in order.\n             |- Try arranging to visit Prague from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Warsaw to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Frankfurt (Day 26 - 28).\n             |- The departure day of Prague is Day 22. The arrival day of Frankfurt is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Warsaw, Prague].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Prague to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Frankfurt (Day 26 - 28).\n               |- The departure day of Lyon is Day 26. The arrival day of Frankfurt is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Warsaw, Prague, Lyon].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- Yes. The city with an arrival day of Day 26 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                 |- Check for direct flight from Lyon to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Oslo, Paris, Seville, Edinburgh, Helsinki, Warsaw, Prague, Lyon, Frankfurt].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Oslo and visit Oslo for 3 days.\n**Day 3:** Fly from Oslo to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Edinburgh.\n**Day 10-14:** Visit Edinburgh for 5 days.\n**Day 14:** Fly from Edinburgh to Helsinki.\n**Day 14-18:** Visit Helsinki for 5 days.\n**Day 18:** Fly from Helsinki to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n**Day 19:** Fly from Warsaw to Prague.\n**Day 19-22:** Visit Prague for 4 days.\n**Day 22:** Fly from Prague to Lyon.\n**Day 22-26:** Visit Lyon for 5 days.\n**Day 26:** Fly from Lyon to Frankfurt.\n**Day 26-28:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Oslo**Amsterdam**Florence**Munich**Istanbul**Edinburgh**Berlin**Salzburg",
    "ground_truth_durations": "5**5**4**2**2**2**2**5**5",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Oslo",
        "Munich"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 1 and day 5. You would like to visit Salzburg for 5 days. You want to meet a friend in Salzburg between day 20 and day 24. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 14 and day 15. You would like to visit Edinburgh for 2 days. You would like to visit Berlin for 5 days. You plan to stay in Amsterdam for 4 days. During day 9 and day 12, you have to attend a conference in Amsterdam. You plan to stay in Munich for 2 days. You want to spend 5 days in Oslo.\n\nHere are the cities that have direct flights:\nSantorini and Amsterdam, Berlin and Salzburg, Munich and Berlin, Munich and Istanbul, Munich and Edinburgh, Oslo and Amsterdam, Oslo and Edinburgh, Amsterdam and Florence, Istanbul and Edinburgh, Oslo and Berlin, Oslo and Istanbul, Amsterdam and Berlin, from Florence to Munich, Oslo and Munich, Amsterdam and Istanbul, Edinburgh and Berlin, Istanbul and Salzburg, Istanbul and Berlin, Amsterdam and Munich, from Santorini to Oslo, Amsterdam and Edinburgh.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 2 days. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 1 and day 5. You would like to visit Salzburg for 5 days. You want to meet a friend in Salzburg between day 20 and day 24. You want to spend 2 days in Istanbul. You plan to visit relatives in Istanbul between day 14 and day 15. You would like to visit Edinburgh for 2 days. You would like to visit Berlin for 5 days. You plan to stay in Amsterdam for 4 days. During day 9 and day 12, you have to attend a conference in Amsterdam. You plan to stay in Munich for 2 days. You want to spend 5 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Santorini to Amsterdam, from Berlin to Salzburg, from Munich to Berlin, from Munich to Istanbul, from Munich to Edinburgh, from Oslo to Amsterdam, from Oslo to Edinburgh, from Amsterdam to Florence, from Istanbul to Edinburgh, from Oslo to Berlin, from Oslo to Istanbul, from Amsterdam to Berlin, from Florence to Munich, from Oslo to Munich, from Amsterdam to Istanbul, from Edinburgh to Berlin, from Istanbul to Salzburg, from Istanbul to Berlin, from Amsterdam to Munich, from Santorini to Oslo, from Amsterdam to Edinburgh.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Oslo.\n**Day 5-9:** Visit Oslo for 5 days.\n**Day 9:** Fly from Oslo to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Istanbul.\n**Day 14-15:** Visit Istanbul for 2 days.\n**Day 15:** Fly from Istanbul to Edinburgh.\n**Day 15-16:** Visit Edinburgh for 2 days.\n**Day 16:** Fly from Edinburgh to Berlin.\n**Day 16-20:** Visit Berlin for 5 days.\n**Day 20:** Fly from Berlin to Salzburg.\n**Day 20-24:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1265",
    "estimated_output_tokens": 2575,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Edinburgh, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Munich, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 9 - 12.\n* City: Istanbul, Fixed Schedule: Day 14 - 15.\n* City: Salzburg, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 9 - 12).\n |- The departure day of Santorini is Day 5. The arrival day of Amsterdam is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Edinburgh, Berlin, Munich, Oslo] and explore these options in order.\n   |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 9 - 12).\n   |- The departure day of Oslo is Day 9. The arrival day of Amsterdam is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Santorini, Oslo].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Oslo to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 14 - 15).\n     |- The departure day of Amsterdam is Day 12. The arrival day of Istanbul is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Santorini, Oslo, Amsterdam].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Edinburgh, Berlin, Munich] and explore these options in order.\n       |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Amsterdam to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 14 - 15).\n       |- The departure day of Florence is Day 13. The arrival day of Istanbul is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Santorini, Oslo, Amsterdam, Florence].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin, Munich] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Florence to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Florence to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Florence to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 14 - 15).\n         |- The departure day of Munich is Day 14. The arrival day of Istanbul is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Oslo, Amsterdam, Florence, Munich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Munich to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 20 - 24).\n           |- The departure day of Istanbul is Day 15. The arrival day of Salzburg is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Oslo, Amsterdam, Florence, Munich, Istanbul].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Istanbul to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Salzburg (Day 20 - 24).\n             |- The departure day of Edinburgh is Day 16. The arrival day of Salzburg is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Oslo, Amsterdam, Florence, Munich, Istanbul, Edinburgh].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Edinburgh to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Salzburg (Day 20 - 24).\n               |- The departure day of Berlin is Day 20. The arrival day of Salzburg is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Oslo, Amsterdam, Florence, Munich, Istanbul, Edinburgh, Berlin].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Berlin to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Santorini, Oslo, Amsterdam, Florence, Munich, Istanbul, Edinburgh, Berlin, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Oslo.\n**Day 5-9:** Visit Oslo for 5 days.\n**Day 9:** Fly from Oslo to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Istanbul.\n**Day 14-15:** Visit Istanbul for 2 days.\n**Day 15:** Fly from Istanbul to Edinburgh.\n**Day 15-16:** Visit Edinburgh for 2 days.\n**Day 16:** Fly from Edinburgh to Berlin.\n**Day 16-20:** Visit Berlin for 5 days.\n**Day 20:** Fly from Berlin to Salzburg.\n**Day 20-24:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Stockholm**Reykjavik**Stuttgart**Budapest**London**Santorini**Manchester**Riga",
    "ground_truth_durations": "2**5**2**2**5**3**2**2**4",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Budapest",
        "London"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Manchester",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. You have to attend a workshop in Stockholm between day 2 and day 6. You want to spend 4 days in Riga. You plan to stay in Manchester for 2 days. You plan to stay in Stuttgart for 2 days. From day 7 to day 8, there is a annual show you want to attend in Stuttgart. You would like to visit London for 3 days. You plan to stay in Reykjavik for 2 days. You plan to stay in Tallinn for 2 days. You want to spend 2 days in Santorini. You would like to visit Budapest for 5 days.\n\nHere are the cities that have direct flights:\nBudapest and Manchester, Stuttgart and London, Reykjavik and London, from Reykjavik to Stuttgart, Stuttgart and Manchester, London and Santorini, Stockholm and Manchester, Stockholm and Riga, Stockholm and Stuttgart, Stuttgart and Budapest, from Riga to Tallinn, London and Manchester, Santorini and Manchester, Stockholm and London, Stockholm and Reykjavik, from Stockholm to Santorini, Budapest and London, Tallinn and Stockholm, Reykjavik and Budapest, Manchester and Riga.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stockholm. You have to attend a workshop in Stockholm between day 2 and day 6. You want to spend 4 days in Riga. You plan to stay in Manchester for 2 days. You plan to stay in Stuttgart for 2 days. From day 7 to day 8, there is a annual show you want to attend in Stuttgart. You would like to visit London for 3 days. You plan to stay in Reykjavik for 2 days. You plan to stay in Tallinn for 2 days. You want to spend 2 days in Santorini. You would like to visit Budapest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Manchester, from Stuttgart to London, from Reykjavik to London, from Reykjavik to Stuttgart, from Stuttgart to Manchester, from London to Santorini, from Stockholm to Manchester, from Stockholm to Riga, from Stockholm to Stuttgart, from Stuttgart to Budapest, from Riga to Tallinn, from London to Manchester, from Santorini to Manchester, from Stockholm to London, from Stockholm to Reykjavik, from Stockholm to Santorini, from Budapest to London, from Tallinn to Stockholm, from Reykjavik to Budapest, from Manchester to Riga.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Budapest.\n**Day 8-12:** Visit Budapest for 5 days.\n**Day 12:** Fly from Budapest to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Manchester.\n**Day 15-16:** Visit Manchester for 2 days.\n**Day 16:** Fly from Manchester to Riga.\n**Day 16-19:** Visit Riga for 4 days.",
    "id": "trip_planning_example_1266",
    "estimated_output_tokens": 6959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Riga, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: London, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 2 - 6.\n* City: Stuttgart, Fixed Schedule: Day 7 - 8.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n* City: London, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Manchester, London, Reykjavik, Tallinn, Santorini, Budapest] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Riga is Day 4. The arrival day of Stockholm is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Manchester is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of London is Day 3. The arrival day of Stockholm is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Reykjavik is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 2 - 6).\n |- The departure day of Tallinn is Day 2. The arrival day of Stockholm is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stuttgart (Day 7 - 8).\n   |- The departure day of Stockholm is Day 6. The arrival day of Stuttgart is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, London, Reykjavik, Santorini, Budapest] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 8).\n     |- The departure day of Riga is Day 9. The arrival day of Stuttgart is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 8).\n     |- The departure day of Manchester is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Stockholm, Manchester].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Manchester to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 8).\n     |- The departure day of London is Day 8. The arrival day of Stuttgart is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 7 - 8).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Stuttgart is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Stockholm, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, London, Santorini, Budapest] and explore these options in order.\n         |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Stuttgart to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Stuttgart to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Manchester].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, London, Santorini, Budapest] and explore these options in order.\n           |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Manchester to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Manchester, Riga].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London, Santorini, Budapest] and explore these options in order.\n             |- Try arranging to visit London from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Riga to London.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Riga to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Riga to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit London from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Manchester to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Manchester to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Manchester to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Stuttgart to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Santorini, Budapest] and explore these options in order.\n           |- Try arranging to visit Riga from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from London to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from London to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London, Manchester].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Santorini, Budapest] and explore these options in order.\n             |- Try arranging to visit Riga from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Manchester to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London, Manchester, Riga].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Budapest] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Riga to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Budapest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Riga to Budapest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Manchester to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Budapest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Manchester to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from London to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London, Santorini].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Budapest] and explore these options in order.\n             |- Try arranging to visit Riga from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Santorini to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Santorini to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London, Santorini, Manchester].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Budapest] and explore these options in order.\n               |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n               |- Check for direct flight from Manchester to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, London, Santorini, Manchester, Riga].\n                |- Check whether the city with an arrival day of Day 15 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n                 |- Try arranging to visit Budapest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n                 |- Check for direct flight from Riga to Budapest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from Manchester to Budapest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Budapest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Santorini to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Budapest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from London to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Stuttgart to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Stuttgart to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, London, Santorini] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Budapest to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Budapest to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, Manchester].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, London, Santorini] and explore these options in order.\n             |- Try arranging to visit Riga from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Manchester to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, Manchester, Riga].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [London, Santorini] and explore these options in order.\n               |- Try arranging to visit London from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Riga to London.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Riga to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Manchester to London.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Manchester to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit London from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Budapest to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Manchester, Santorini] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from London to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from London to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London, Manchester].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Santorini] and explore these options in order.\n               |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Manchester to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London, Manchester, Riga].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Riga to Santorini.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Manchester to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from London to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London, Santorini].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Manchester] and explore these options in order.\n               |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Santorini to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Manchester from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Santorini to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London, Santorini, Manchester].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Manchester to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Tallinn, Stockholm, Reykjavik, Stuttgart, Budapest, London, Santorini, Manchester, Riga].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Stockholm.\n**Day 2-6:** Visit Stockholm for 5 days.\n**Day 6:** Fly from Stockholm to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Stuttgart.\n**Day 7-8:** Visit Stuttgart for 2 days.\n**Day 8:** Fly from Stuttgart to Budapest.\n**Day 8-12:** Visit Budapest for 5 days.\n**Day 12:** Fly from Budapest to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Manchester.\n**Day 15-16:** Visit Manchester for 2 days.\n**Day 16:** Fly from Manchester to Riga.\n**Day 16-19:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Valencia**Milan**Vilnius**Zurich**Florence**Vienna**Rome**Stockholm",
    "ground_truth_durations": "3**5**5**3**5**3**2**5**3",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Seville",
        "Vienna"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Vienna",
        "Rome"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Vienna"
      ],
      [
        "Zurich",
        "Rome"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Milan",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 3 to day 7, there is a annual show you want to attend in Valencia. You want to spend 2 days in Vienna. You plan to stay in Stockholm for 3 days. You would like to visit Milan for 5 days. You would like to visit Rome for 5 days. You plan to visit relatives in Rome between day 20 and day 24. You plan to stay in Florence for 3 days. You want to spend 3 days in Vilnius. You want to spend 5 days in Zurich. You plan to stay in Seville for 3 days.\n\nHere are the cities that have direct flights:\nVilnius and Zurich, Vienna and Stockholm, Seville and Vienna, Valencia and Zurich, Milan and Stockholm, Seville and Valencia, Florence and Vienna, Valencia and Vienna, Milan and Vienna, Vilnius and Vienna, Seville and Milan, Valencia and Rome, Zurich and Stockholm, Seville and Rome, Vienna and Rome, Milan and Vilnius, Rome and Stockholm, from Zurich to Florence, Zurich and Vienna, Zurich and Rome, Valencia and Milan, Milan and Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 3 to day 7, there is a annual show you want to attend in Valencia. You want to spend 2 days in Vienna. You plan to stay in Stockholm for 3 days. You would like to visit Milan for 5 days. You would like to visit Rome for 5 days. You plan to visit relatives in Rome between day 20 and day 24. You plan to stay in Florence for 3 days. You want to spend 3 days in Vilnius. You want to spend 5 days in Zurich. You plan to stay in Seville for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Zurich, from Vienna to Stockholm, from Seville to Vienna, from Valencia to Zurich, from Milan to Stockholm, from Seville to Valencia, from Florence to Vienna, from Valencia to Vienna, from Milan to Vienna, from Vilnius to Vienna, from Seville to Milan, from Valencia to Rome, from Zurich to Stockholm, from Seville to Rome, from Vienna to Rome, from Milan to Vilnius, from Rome to Stockholm, from Zurich to Florence, from Zurich to Vienna, from Zurich to Rome, from Valencia to Milan, from Milan to Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Florence.\n**Day 17-19:** Visit Florence for 3 days.\n**Day 19:** Fly from Florence to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Rome.\n**Day 20-24:** Visit Rome for 5 days.\n**Day 24:** Fly from Rome to Stockholm.\n**Day 24-26:** Visit Stockholm for 3 days.",
    "id": "trip_planning_example_1267",
    "estimated_output_tokens": 7360,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Vienna, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Florence, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 3 - 7.\n* City: Rome, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Vienna, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Stockholm, Milan, Florence, Vilnius, Zurich, Seville] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Vienna is Day 2. The arrival day of Valencia is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Milan, Florence, Vilnius, Zurich, Seville] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 3 - 7).\n   |- The departure day of Stockholm is Day 4. The arrival day of Valencia is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Stockholm is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Milan is Day 5. The arrival day of Valencia is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Florence is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Vilnius is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Zurich is Day 5. The arrival day of Valencia is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 7).\n |- The departure day of Seville is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 20 - 24).\n   |- The departure day of Valencia is Day 7. The arrival day of Rome is Day 20. Day 7 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Seville, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Stockholm, Milan, Florence, Vilnius, Zurich] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 20 - 24).\n     |- The departure day of Vienna is Day 8. The arrival day of Rome is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Seville, Valencia, Vienna].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Milan, Florence, Vilnius, Zurich] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vienna to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 20 - 24).\n       |- The departure day of Stockholm is Day 10. The arrival day of Rome is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Seville, Valencia, Vienna, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Florence, Vilnius, Zurich] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stockholm to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stockholm to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stockholm to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Stockholm to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vienna to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vienna to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vienna to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vienna to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Valencia to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 20 - 24).\n     |- The departure day of Milan is Day 11. The arrival day of Rome is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Valencia, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Stockholm, Florence, Vilnius, Zurich] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Milan to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 20 - 24).\n       |- The departure day of Vienna is Day 12. The arrival day of Rome is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Valencia, Milan, Vienna].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Vilnius, Zurich] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Vienna to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Rome (Day 20 - 24).\n         |- The departure day of Stockholm is Day 14. The arrival day of Rome is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Valencia, Milan, Vienna, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Vilnius, Zurich] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stockholm to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stockholm to Zurich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Vienna to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Vienna to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Milan to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 20 - 24).\n       |- The departure day of Stockholm is Day 13. The arrival day of Rome is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Valencia, Milan, Stockholm].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Florence, Vilnius, Zurich] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Stockholm to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stockholm to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stockholm to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Stockholm to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Milan to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 20 - 24).\n       |- The departure day of Vilnius is Day 13. The arrival day of Rome is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Valencia, Milan, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Stockholm, Florence, Zurich] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vilnius to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Rome (Day 20 - 24).\n         |- The departure day of Vienna is Day 14. The arrival day of Rome is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Valencia, Milan, Vilnius, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Zurich] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Rome (Day 20 - 24).\n           |- The departure day of Stockholm is Day 16. The arrival day of Rome is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Valencia, Milan, Vilnius, Vienna, Stockholm].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n             |- Try arranging to visit Florence from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Stockholm to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Stockholm to Zurich.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Zurich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vilnius to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Rome (Day 20 - 24).\n         |- The departure day of Zurich is Day 17. The arrival day of Rome is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Stockholm, Florence] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Zurich to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Rome (Day 20 - 24).\n           |- The departure day of Vienna is Day 18. The arrival day of Rome is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Vienna].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Vienna to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Rome (Day 20 - 24).\n             |- The departure day of Stockholm is Day 20. The arrival day of Rome is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Vienna, Stockholm].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Rome.\n               |- Try arranging to visit Rome from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Stockholm to Rome.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Florence from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Vienna to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Zurich to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Rome (Day 20 - 24).\n           |- The departure day of Stockholm is Day 19. The arrival day of Rome is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Stockholm].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Florence] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Stockholm to Vienna.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Stockholm to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Zurich to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Rome (Day 20 - 24).\n           |- The departure day of Florence is Day 19. The arrival day of Rome is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Florence].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Stockholm] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Florence to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Rome (Day 20 - 24).\n             |- The departure day of Vienna is Day 20. The arrival day of Rome is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Florence, Vienna].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Rome.\n               |- Try arranging to visit Rome from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Vienna to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Florence, Vienna, Rome].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n                 |- Try arranging to visit Stockholm from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Rome to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Seville, Valencia, Milan, Vilnius, Zurich, Florence, Vienna, Rome, Stockholm].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Seville and visit Seville for 3 days.\n**Day 3:** Fly from Seville to Valencia.\n**Day 3-7:** Visit Valencia for 5 days.\n**Day 7:** Fly from Valencia to Milan.\n**Day 7-11:** Visit Milan for 5 days.\n**Day 11:** Fly from Milan to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Florence.\n**Day 17-19:** Visit Florence for 3 days.\n**Day 19:** Fly from Florence to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Rome.\n**Day 20-24:** Visit Rome for 5 days.\n**Day 24:** Fly from Rome to Stockholm.\n**Day 24-26:** Visit Stockholm for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Dublin**Reykjavik**Zurich**Vilnius**Munich**Stockholm**Geneva**Manchester",
    "ground_truth_durations": "4**2**3**3**4**2**4**4**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Dublin",
        "Munich"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Zurich",
        "Munich"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Zurich",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 4 days. You plan to stay in Stockholm for 4 days. From day 13 to day 16, there is a annual show you want to attend in Stockholm. You would like to visit Geneva for 4 days. You plan to visit relatives in Geneva between day 16 and day 19. You plan to stay in Munich for 2 days. You would like to visit Vilnius for 4 days. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 5 and day 7. You want to spend 4 days in Venice. You have to attend a workshop in Venice between day 1 and day 4. You want to spend 3 days in Zurich. You want to spend 2 days in Dublin.\n\nHere are the cities that have direct flights:\nDublin and Reykjavik, Zurich and Stockholm, Dublin and Zurich, Dublin and Geneva, Munich and Stockholm, Venice and Manchester, Zurich and Vilnius, Reykjavik and Munich, Geneva and Manchester, Dublin and Munich, Reykjavik and Zurich, Stockholm and Manchester, Stockholm and Geneva, Zurich and Geneva, Venice and Dublin, from Vilnius to Munich, Munich and Geneva, Dublin and Manchester, Munich and Manchester, Zurich and Munich, Reykjavik and Stockholm, Dublin and Stockholm, Venice and Munich, Venice and Zurich, Zurich and Manchester.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Manchester for 4 days. You plan to stay in Stockholm for 4 days. From day 13 to day 16, there is a annual show you want to attend in Stockholm. You would like to visit Geneva for 4 days. You plan to visit relatives in Geneva between day 16 and day 19. You plan to stay in Munich for 2 days. You would like to visit Vilnius for 4 days. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 5 and day 7. You want to spend 4 days in Venice. You have to attend a workshop in Venice between day 1 and day 4. You want to spend 3 days in Zurich. You want to spend 2 days in Dublin.\n\nHere are the cities that have direct flights:\nfrom Dublin to Reykjavik, from Zurich to Stockholm, from Dublin to Zurich, from Dublin to Geneva, from Munich to Stockholm, from Venice to Manchester, from Zurich to Vilnius, from Reykjavik to Munich, from Geneva to Manchester, from Dublin to Munich, from Reykjavik to Zurich, from Stockholm to Manchester, from Stockholm to Geneva, from Zurich to Geneva, from Venice to Dublin, from Vilnius to Munich, from Munich to Geneva, from Dublin to Manchester, from Munich to Manchester, from Zurich to Munich, from Reykjavik to Stockholm, from Dublin to Stockholm, from Venice to Munich, from Venice to Zurich, from Zurich to Manchester.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Dublin.\n**Day 4-5:** Visit Dublin for 2 days.\n**Day 5:** Fly from Dublin to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Munich.\n**Day 12-13:** Visit Munich for 2 days.\n**Day 13:** Fly from Munich to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.\n**Day 16:** Fly from Stockholm to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Manchester.\n**Day 19-22:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1268",
    "estimated_output_tokens": 4481,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Munich, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Zurich, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 5 - 7.\n* City: Stockholm, Fixed Schedule: Day 13 - 16.\n* City: Geneva, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Munich, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Zurich, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Venice is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Munich, Vilnius, Zurich, Dublin] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Manchester is Day 7. The arrival day of Reykjavik is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Munich is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Zurich is Day 6. The arrival day of Reykjavik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Dublin is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 13 - 16).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Stockholm is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Dublin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Munich, Vilnius, Zurich] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 13 - 16).\n       |- The departure day of Munich is Day 8. The arrival day of Stockholm is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Venice, Dublin, Reykjavik, Munich].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Vilnius, Zurich] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Munich to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 13 - 16).\n         |- The departure day of Manchester is Day 11. The arrival day of Stockholm is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Dublin, Reykjavik, Munich, Manchester].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Zurich] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Manchester to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Manchester to Zurich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Munich to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Munich to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 13 - 16).\n       |- The departure day of Zurich is Day 9. The arrival day of Stockholm is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Dublin, Reykjavik, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Munich, Vilnius] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 16).\n         |- The departure day of Manchester is Day 12. The arrival day of Stockholm is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Dublin, Reykjavik, Zurich, Manchester].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Vilnius] and explore these options in order.\n           |- Try arranging to visit Munich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Manchester to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Manchester to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 16).\n         |- The departure day of Munich is Day 10. The arrival day of Stockholm is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Venice, Dublin, Reykjavik, Zurich, Munich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Vilnius] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Munich to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 13 - 16).\n           |- The departure day of Manchester is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Venice, Dublin, Reykjavik, Zurich, Munich, Manchester].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Manchester to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Munich to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 16).\n         |- The departure day of Vilnius is Day 12. The arrival day of Stockholm is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Venice, Dublin, Reykjavik, Zurich, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Munich] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 13 - 16).\n           |- The departure day of Munich is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Venice, Dublin, Reykjavik, Zurich, Vilnius, Munich].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Munich to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 16 - 19).\n             |- The departure day of Stockholm is Day 16. The arrival day of Geneva is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Venice, Dublin, Reykjavik, Zurich, Vilnius, Munich, Stockholm].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Stockholm to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Venice, Dublin, Reykjavik, Zurich, Vilnius, Munich, Stockholm, Geneva].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n                 |- Try arranging to visit Manchester from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Geneva to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Venice, Dublin, Reykjavik, Zurich, Vilnius, Munich, Stockholm, Geneva, Manchester].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Dublin.\n**Day 4-5:** Visit Dublin for 2 days.\n**Day 5:** Fly from Dublin to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Zurich.\n**Day 7-9:** Visit Zurich for 3 days.\n**Day 9:** Fly from Zurich to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Munich.\n**Day 12-13:** Visit Munich for 2 days.\n**Day 13:** Fly from Munich to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.\n**Day 16:** Fly from Stockholm to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Manchester.\n**Day 19-22:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Edinburgh**Riga**Prague**Barcelona**London**Zurich**Vilnius**Oslo",
    "ground_truth_durations": "2**5**3**4**3**3**4**4**3",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "London"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Barcelona",
        "London"
      ],
      [
        "Edinburgh",
        "Zurich"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to visit relatives in Riga between day 6 and day 8. You would like to visit Oslo for 3 days. You are going to attend a wedding in Oslo between day 21 and day 23. You want to spend 3 days in London. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 1 and day 2. You plan to stay in Vilnius for 4 days. You would like to visit Prague for 4 days. You would like to visit Edinburgh for 5 days. You would like to visit Zurich for 4 days. You plan to stay in Barcelona for 3 days. You want to meet a friend in Barcelona between day 11 and day 13.\n\nHere are the cities that have direct flights:\nPrague and London, London and Zurich, London and Oslo, Nice and Zurich, Riga and Prague, Nice and Oslo, Edinburgh and Barcelona, Nice and Riga, Edinburgh and Riga, Zurich and Oslo, Prague and Zurich, Zurich and Vilnius, Vilnius and Oslo, Nice and Barcelona, Prague and Barcelona, Barcelona and Zurich, Nice and Edinburgh, from Riga to Vilnius, Edinburgh and Oslo, Prague and Oslo, Barcelona and London, Edinburgh and Zurich, Riga and Zurich, Nice and London, Riga and Oslo, Edinburgh and Prague, Edinburgh and London, Riga and Barcelona, Barcelona and Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You plan to visit relatives in Riga between day 6 and day 8. You would like to visit Oslo for 3 days. You are going to attend a wedding in Oslo between day 21 and day 23. You want to spend 3 days in London. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 1 and day 2. You plan to stay in Vilnius for 4 days. You would like to visit Prague for 4 days. You would like to visit Edinburgh for 5 days. You would like to visit Zurich for 4 days. You plan to stay in Barcelona for 3 days. You want to meet a friend in Barcelona between day 11 and day 13.\n\nHere are the cities that have direct flights:\nfrom Prague to London, from London to Zurich, from London to Oslo, from Nice to Zurich, from Riga to Prague, from Nice to Oslo, from Edinburgh to Barcelona, from Nice to Riga, from Edinburgh to Riga, from Zurich to Oslo, from Prague to Zurich, from Zurich to Vilnius, from Vilnius to Oslo, from Nice to Barcelona, from Prague to Barcelona, from Barcelona to Zurich, from Nice to Edinburgh, from Riga to Vilnius, from Edinburgh to Oslo, from Prague to Oslo, from Barcelona to London, from Edinburgh to Zurich, from Riga to Zurich, from Nice to London, from Riga to Oslo, from Edinburgh to Prague, from Edinburgh to London, from Riga to Barcelona, from Barcelona to Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Edinburgh.\n**Day 2-6:** Visit Edinburgh for 5 days.\n**Day 6:** Fly from Edinburgh to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Barcelona.\n**Day 11-13:** Visit Barcelona for 3 days.\n**Day 13:** Fly from Barcelona to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Zurich.\n**Day 15-18:** Visit Zurich for 4 days.\n**Day 18:** Fly from Zurich to Vilnius.\n**Day 18-21:** Visit Vilnius for 4 days.\n**Day 21:** Fly from Vilnius to Oslo.\n**Day 21-23:** Visit Oslo for 3 days.",
    "id": "trip_planning_example_1269",
    "estimated_output_tokens": 3218,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: London, Duration: 3 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Vilnius, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n* City: Riga, Fixed Schedule: Day 6 - 8.\n* City: Barcelona, Fixed Schedule: Day 11 - 13.\n* City: Oslo, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 6 - 8).\n |- The departure day of Nice is Day 2. The arrival day of Riga is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Vilnius, Prague, Edinburgh, Zurich] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Nice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 6 - 8).\n   |- The departure day of London is Day 4. The arrival day of Riga is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Nice, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Prague, Edinburgh, Zurich] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from London to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from London to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 6 - 8).\n     |- The departure day of Zurich is Day 7. The arrival day of Riga is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Nice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 6 - 8).\n   |- The departure day of Edinburgh is Day 6. The arrival day of Riga is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Riga.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Edinburgh to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 11 - 13).\n     |- The departure day of Riga is Day 8. The arrival day of Barcelona is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Edinburgh, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Vilnius, Prague, Zurich] and explore these options in order.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Riga to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Barcelona (Day 11 - 13).\n       |- The departure day of Vilnius is Day 11. The arrival day of Barcelona is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Edinburgh, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Vilnius to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Riga to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Barcelona (Day 11 - 13).\n       |- The departure day of Prague is Day 11. The arrival day of Barcelona is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Nice, Edinburgh, Riga, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Prague to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 21 - 23).\n         |- The departure day of Barcelona is Day 13. The arrival day of Oslo is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Edinburgh, Riga, Prague, Barcelona].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Vilnius, Zurich] and explore these options in order.\n           |- Try arranging to visit London from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Barcelona to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 21 - 23).\n           |- The departure day of London is Day 15. The arrival day of Oslo is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Nice, Edinburgh, Riga, Prague, Barcelona, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Zurich] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from London to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from London to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Oslo (Day 21 - 23).\n             |- The departure day of Zurich is Day 18. The arrival day of Oslo is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Nice, Edinburgh, Riga, Prague, Barcelona, London, Zurich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Zurich to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Oslo (Day 21 - 23).\n               |- The departure day of Vilnius is Day 21. The arrival day of Oslo is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Nice, Edinburgh, Riga, Prague, Barcelona, London, Zurich, Vilnius].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Oslo.\n                 |- Try arranging to visit Oslo from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Vilnius to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Nice, Edinburgh, Riga, Prague, Barcelona, London, Zurich, Vilnius, Oslo].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Edinburgh.\n**Day 2-6:** Visit Edinburgh for 5 days.\n**Day 6:** Fly from Edinburgh to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Prague.\n**Day 8-11:** Visit Prague for 4 days.\n**Day 11:** Fly from Prague to Barcelona.\n**Day 11-13:** Visit Barcelona for 3 days.\n**Day 13:** Fly from Barcelona to London.\n**Day 13-15:** Visit London for 3 days.\n**Day 15:** Fly from London to Zurich.\n**Day 15-18:** Visit Zurich for 4 days.\n**Day 18:** Fly from Zurich to Vilnius.\n**Day 18-21:** Visit Vilnius for 4 days.\n**Day 21:** Fly from Vilnius to Oslo.\n**Day 21-23:** Visit Oslo for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Frankfurt**Lyon**London**Reykjavik**Warsaw**Hamburg**Geneva**Naples",
    "ground_truth_durations": "3**2**5**2**2**2**5**4**4",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Reykjavik"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in London for 2 days. You would like to visit Reykjavik for 2 days. You plan to stay in Frankfurt for 2 days. You plan to visit relatives in Frankfurt between day 3 and day 4. You would like to visit Tallinn for 3 days. You want to spend 5 days in Hamburg. You would like to meet your friends at Hamburg between day 11 and day 15 to tour together. You would like to visit Geneva for 4 days. You would like to visit Naples for 4 days. You want to spend 2 days in Warsaw. You have to attend a workshop in Warsaw between day 10 and day 11. You plan to stay in Lyon for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Reykjavik, Tallinn and Warsaw, from Hamburg to Geneva, Warsaw and Geneva, London and Hamburg, London and Warsaw, Reykjavik and Warsaw, Frankfurt and Warsaw, Lyon and London, London and Reykjavik, Frankfurt and Geneva, Tallinn and Frankfurt, Frankfurt and London, Geneva and Naples, Warsaw and Naples, Frankfurt and Hamburg, Frankfurt and Lyon, Warsaw and Hamburg, London and Naples, London and Geneva, Frankfurt and Naples.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in London for 2 days. You would like to visit Reykjavik for 2 days. You plan to stay in Frankfurt for 2 days. You plan to visit relatives in Frankfurt between day 3 and day 4. You would like to visit Tallinn for 3 days. You want to spend 5 days in Hamburg. You would like to meet your friends at Hamburg between day 11 and day 15 to tour together. You would like to visit Geneva for 4 days. You would like to visit Naples for 4 days. You want to spend 2 days in Warsaw. You have to attend a workshop in Warsaw between day 10 and day 11. You plan to stay in Lyon for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Reykjavik, from Tallinn to Warsaw, from Hamburg to Geneva, from Warsaw to Geneva, from London to Hamburg, from London to Warsaw, from Reykjavik to Warsaw, from Frankfurt to Warsaw, from Lyon to London, from London to Reykjavik, from Frankfurt to Geneva, from Tallinn to Frankfurt, from Frankfurt to London, from Geneva to Naples, from Warsaw to Naples, from Frankfurt to Hamburg, from Frankfurt to Lyon, from Warsaw to Hamburg, from London to Naples, from London to Geneva, from Frankfurt to Naples.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to London.\n**Day 8-9:** Visit London for 2 days.\n**Day 9:** Fly from London to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Warsaw.\n**Day 10-11:** Visit Warsaw for 2 days.\n**Day 11:** Fly from Warsaw to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Geneva.\n**Day 15-18:** Visit Geneva for 4 days.\n**Day 18:** Fly from Geneva to Naples.\n**Day 18-21:** Visit Naples for 4 days.",
    "id": "trip_planning_example_1270",
    "estimated_output_tokens": 6372,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Geneva, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Lyon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 3 - 4.\n* City: Warsaw, Fixed Schedule: Day 10 - 11.\n* City: Hamburg, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: London, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Reykjavik, Tallinn, Geneva, Naples, Lyon] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 3 - 4).\n |- The departure day of London is Day 2. The arrival day of Frankfurt is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Tallinn, Geneva, Naples, Lyon] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Frankfurt (Day 3 - 4).\n   |- The departure day of Reykjavik is Day 3. The arrival day of Frankfurt is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Reykjavik to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from London to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Frankfurt (Day 3 - 4).\n   |- The departure day of Geneva is Day 5. The arrival day of Frankfurt is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Frankfurt (Day 3 - 4).\n   |- The departure day of Naples is Day 5. The arrival day of Frankfurt is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from London to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 3 - 4).\n |- The departure day of Reykjavik is Day 2. The arrival day of Frankfurt is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Tallinn, Geneva, Naples, Lyon] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Reykjavik to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Frankfurt (Day 3 - 4).\n |- The departure day of Tallinn is Day 3. The arrival day of Frankfurt is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Frankfurt.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Tallinn to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 10 - 11).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Warsaw is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Geneva, Naples, Lyon] and explore these options in order.\n     |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Frankfurt to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 10 - 11).\n     |- The departure day of London is Day 5. The arrival day of Warsaw is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Frankfurt, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva, Naples, Lyon] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 10 - 11).\n       |- The departure day of Reykjavik is Day 6. The arrival day of Warsaw is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Tallinn, Frankfurt, London, Reykjavik].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Naples, Lyon] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Reykjavik to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Reykjavik to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Reykjavik to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from London to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 10 - 11).\n       |- The departure day of Geneva is Day 8. The arrival day of Warsaw is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Frankfurt, London, Geneva].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Naples, Lyon] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Geneva to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Geneva to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 10 - 11).\n         |- The departure day of Naples is Day 11. The arrival day of Warsaw is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Geneva to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from London to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 10 - 11).\n       |- The departure day of Naples is Day 8. The arrival day of Warsaw is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Frankfurt, London, Naples].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva, Lyon] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Naples to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Naples to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Naples to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from London to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Frankfurt to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 10 - 11).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Warsaw is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Frankfurt, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Geneva, Naples, Lyon] and explore these options in order.\n       |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Reykjavik to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 10 - 11).\n     |- The departure day of Geneva is Day 7. The arrival day of Warsaw is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Frankfurt, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Naples, Lyon] and explore these options in order.\n       |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Warsaw (Day 10 - 11).\n       |- The departure day of Naples is Day 10. The arrival day of Warsaw is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Frankfurt, Geneva, Naples].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Naples to Warsaw.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 10 - 11).\n     |- The departure day of Naples is Day 7. The arrival day of Warsaw is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Frankfurt, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Geneva, Lyon] and explore these options in order.\n       |- Try arranging to visit London from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Naples to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Naples to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Naples to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Naples to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 10 - 11).\n     |- The departure day of Lyon is Day 8. The arrival day of Warsaw is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Frankfurt, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Geneva, Naples] and explore these options in order.\n       |- Try arranging to visit London from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lyon to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 10 - 11).\n       |- The departure day of London is Day 9. The arrival day of Warsaw is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Frankfurt, Lyon, London].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Geneva, Naples] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from London to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 10 - 11).\n         |- The departure day of Reykjavik is Day 10. The arrival day of Warsaw is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Tallinn, Frankfurt, Lyon, London, Reykjavik].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Reykjavik to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 11 - 15).\n           |- The departure day of Warsaw is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Tallinn, Frankfurt, Lyon, London, Reykjavik, Warsaw].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n             |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Warsaw to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Tallinn, Frankfurt, Lyon, London, Reykjavik, Warsaw, Hamburg].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Naples] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Hamburg to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Tallinn, Frankfurt, Lyon, London, Reykjavik, Warsaw, Hamburg, Geneva].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Geneva to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Tallinn, Frankfurt, Lyon, London, Reykjavik, Warsaw, Hamburg, Geneva, Naples].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Lyon.\n**Day 4-8:** Visit Lyon for 5 days.\n**Day 8:** Fly from Lyon to London.\n**Day 8-9:** Visit London for 2 days.\n**Day 9:** Fly from London to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Warsaw.\n**Day 10-11:** Visit Warsaw for 2 days.\n**Day 11:** Fly from Warsaw to Hamburg.\n**Day 11-15:** Visit Hamburg for 5 days.\n**Day 15:** Fly from Hamburg to Geneva.\n**Day 15-18:** Visit Geneva for 4 days.\n**Day 18:** Fly from Geneva to Naples.\n**Day 18-21:** Visit Naples for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Prague**Tallinn**Vilnius**Oslo**Lyon**Venice**Manchester**Geneva",
    "ground_truth_durations": "4**4**5**5**4**4**2**3**3",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Venice"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Oslo",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Prague. You plan to stay in Lyon for 4 days. You want to spend 3 days in Manchester. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 1 and day 4. You want to spend 4 days in Oslo. You plan to stay in Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 11 and day 15. You want to spend 2 days in Venice. You want to meet a friend in Venice between day 21 and day 22. You plan to stay in Geneva for 3 days. From day 24 to day 26, there is a annual show you want to attend in Geneva. You plan to stay in Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Venice, Lyon and Venice, Tallinn and Oslo, Vilnius and Oslo, Frankfurt and Venice, Frankfurt and Tallinn, Prague and Manchester, Prague and Lyon, Frankfurt and Geneva, Prague and Oslo, Frankfurt and Lyon, Frankfurt and Manchester, Prague and Geneva, Oslo and Manchester, Venice and Manchester, from Tallinn to Vilnius, Manchester and Geneva, Oslo and Lyon, Frankfurt and Oslo, Frankfurt and Vilnius, Frankfurt and Prague, Prague and Tallinn, Oslo and Geneva.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Prague. You plan to stay in Lyon for 4 days. You want to spend 3 days in Manchester. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 1 and day 4. You want to spend 4 days in Oslo. You plan to stay in Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 11 and day 15. You want to spend 2 days in Venice. You want to meet a friend in Venice between day 21 and day 22. You plan to stay in Geneva for 3 days. From day 24 to day 26, there is a annual show you want to attend in Geneva. You plan to stay in Tallinn for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Venice, from Lyon to Venice, from Tallinn to Oslo, from Vilnius to Oslo, from Frankfurt to Venice, from Frankfurt to Tallinn, from Prague to Manchester, from Prague to Lyon, from Frankfurt to Geneva, from Prague to Oslo, from Frankfurt to Lyon, from Frankfurt to Manchester, from Prague to Geneva, from Oslo to Manchester, from Venice to Manchester, from Tallinn to Vilnius, from Manchester to Geneva, from Oslo to Lyon, from Frankfurt to Oslo, from Frankfurt to Vilnius, from Frankfurt to Prague, from Prague to Tallinn, from Oslo to Geneva.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Lyon.\n**Day 18-21:** Visit Lyon for 4 days.\n**Day 21:** Fly from Lyon to Venice.\n**Day 21-22:** Visit Venice for 2 days.\n**Day 22:** Fly from Venice to Manchester.\n**Day 22-24:** Visit Manchester for 3 days.\n**Day 24:** Fly from Manchester to Geneva.\n**Day 24-26:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_1271",
    "estimated_output_tokens": 3616,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Duration: 4 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Tallinn, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Fixed Schedule: Day 11 - 15.\n* City: Venice, Fixed Schedule: Day 21 - 22.\n* City: Geneva, Fixed Schedule: Day 24 - 26.\n\nCities needing arrangement:\n* City: Prague, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 11 - 15).\n |- The departure day of Frankfurt is Day 4. The arrival day of Vilnius is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Lyon, Manchester, Oslo, Tallinn] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 11 - 15).\n   |- The departure day of Prague is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Oslo, Tallinn] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Lyon is Day 10. The arrival day of Vilnius is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Prague, Lyon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Oslo, Tallinn] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Lyon to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Manchester is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Prague, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Oslo, Tallinn] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Manchester to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Oslo is Day 10. The arrival day of Vilnius is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Prague, Oslo].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Tallinn] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Oslo to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 11 - 15).\n       |- The departure day of Lyon is Day 13. The arrival day of Vilnius is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Oslo to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 11 - 15).\n       |- The departure day of Manchester is Day 12. The arrival day of Vilnius is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Oslo to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Tallinn is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Frankfurt, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 21 - 22).\n       |- The departure day of Vilnius is Day 15. The arrival day of Venice is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Frankfurt, Prague, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Oslo] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Vilnius to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Vilnius to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Vilnius to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Venice (Day 21 - 22).\n         |- The departure day of Oslo is Day 18. The arrival day of Venice is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Frankfurt, Prague, Tallinn, Vilnius, Oslo].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Oslo to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Venice (Day 21 - 22).\n           |- The departure day of Lyon is Day 21. The arrival day of Venice is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Frankfurt, Prague, Tallinn, Vilnius, Oslo, Lyon].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Lyon to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Geneva (Day 24 - 26).\n             |- The departure day of Venice is Day 22. The arrival day of Geneva is Day 24. Day 22 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Frankfurt, Prague, Tallinn, Vilnius, Oslo, Lyon, Venice].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Venice to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Geneva (Day 24 - 26).\n               |- The departure day of Manchester is Day 24. The arrival day of Geneva is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Frankfurt, Prague, Tallinn, Vilnius, Oslo, Lyon, Venice, Manchester].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Geneva.\n                 |- Try arranging to visit Geneva from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Manchester to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Frankfurt, Prague, Tallinn, Vilnius, Oslo, Lyon, Venice, Manchester, Geneva].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Prague.\n**Day 4-7:** Visit Prague for 4 days.\n**Day 7:** Fly from Prague to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Lyon.\n**Day 18-21:** Visit Lyon for 4 days.\n**Day 21:** Fly from Lyon to Venice.\n**Day 21-22:** Visit Venice for 2 days.\n**Day 22:** Fly from Venice to Manchester.\n**Day 22-24:** Visit Manchester for 3 days.\n**Day 24:** Fly from Manchester to Geneva.\n**Day 24-26:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Santorini**Amsterdam**Vilnius**Warsaw**Stuttgart**Edinburgh**Madrid**Lyon",
    "ground_truth_durations": "4**2**5**3**5**4**3**2**2",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Manchester",
        "Madrid"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Manchester",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Madrid. You plan to stay in Amsterdam for 5 days. You want to spend 4 days in Stuttgart. You would like to visit Warsaw for 5 days. You are going to attend a wedding in Warsaw between day 11 and day 15. You plan to stay in Santorini for 2 days. You plan to stay in Vilnius for 3 days. You have to attend a workshop in Vilnius between day 9 and day 11. You plan to stay in Manchester for 4 days. You would like to meet your friends at Manchester between day 1 and day 4 to tour together. You plan to stay in Edinburgh for 3 days. You would like to visit Lyon for 2 days.\n\nHere are the cities that have direct flights:\nManchester and Santorini, Amsterdam and Warsaw, Madrid and Lyon, Warsaw and Madrid, Santorini and Amsterdam, Amsterdam and Edinburgh, Amsterdam and Madrid, Santorini and Madrid, Manchester and Madrid, Vilnius and Warsaw, Edinburgh and Madrid, Amsterdam and Stuttgart, Amsterdam and Vilnius, Manchester and Amsterdam, Amsterdam and Lyon, Stuttgart and Edinburgh, Manchester and Stuttgart, Manchester and Warsaw, Warsaw and Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Madrid. You plan to stay in Amsterdam for 5 days. You want to spend 4 days in Stuttgart. You would like to visit Warsaw for 5 days. You are going to attend a wedding in Warsaw between day 11 and day 15. You plan to stay in Santorini for 2 days. You plan to stay in Vilnius for 3 days. You have to attend a workshop in Vilnius between day 9 and day 11. You plan to stay in Manchester for 4 days. You would like to meet your friends at Manchester between day 1 and day 4 to tour together. You plan to stay in Edinburgh for 3 days. You would like to visit Lyon for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Santorini, from Amsterdam to Warsaw, from Madrid to Lyon, from Warsaw to Madrid, from Santorini to Amsterdam, from Amsterdam to Edinburgh, from Amsterdam to Madrid, from Santorini to Madrid, from Manchester to Madrid, from Vilnius to Warsaw, from Edinburgh to Madrid, from Amsterdam to Stuttgart, from Amsterdam to Vilnius, from Manchester to Amsterdam, from Amsterdam to Lyon, from Stuttgart to Edinburgh, from Manchester to Stuttgart, from Manchester to Warsaw, from Warsaw to Stuttgart.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Santorini.\n**Day 4-5:** Visit Santorini for 2 days.\n**Day 5:** Fly from Santorini to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.\n**Day 18:** Fly from Stuttgart to Edinburgh.\n**Day 18-20:** Visit Edinburgh for 3 days.\n**Day 20:** Fly from Edinburgh to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Lyon.\n**Day 21-22:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1272",
    "estimated_output_tokens": 5993,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Santorini, Duration: 2 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Fixed Schedule: Day 9 - 11.\n* City: Warsaw, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 9 - 11).\n |- The departure day of Manchester is Day 4. The arrival day of Vilnius is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Amsterdam, Stuttgart, Santorini, Edinburgh, Lyon] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 9 - 11).\n   |- The departure day of Madrid is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart, Santorini, Edinburgh, Lyon] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Madrid to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Madrid to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Madrid to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 11).\n     |- The departure day of Lyon is Day 6. The arrival day of Vilnius is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Manchester, Madrid, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart, Santorini, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lyon to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Lyon to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lyon to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 9 - 11).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Vilnius is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Manchester, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Stuttgart, Santorini, Edinburgh, Lyon] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 11).\n     |- The departure day of Madrid is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Amsterdam, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Madrid to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 11).\n     |- The departure day of Stuttgart is Day 11. The arrival day of Vilnius is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Amsterdam to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 11).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Vilnius is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 9 - 11).\n     |- The departure day of Lyon is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Amsterdam, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 9 - 11).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Vilnius is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Manchester, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Amsterdam, Santorini, Edinburgh, Lyon] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stuttgart to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stuttgart to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stuttgart to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 9 - 11).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Stuttgart, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stuttgart to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 9 - 11).\n   |- The departure day of Santorini is Day 5. The arrival day of Vilnius is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Amsterdam, Stuttgart, Edinburgh, Lyon] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Santorini to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 11).\n     |- The departure day of Madrid is Day 6. The arrival day of Vilnius is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Manchester, Santorini, Madrid].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart, Edinburgh, Lyon] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Madrid to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Madrid to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Madrid to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Madrid to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 9 - 11).\n       |- The departure day of Lyon is Day 7. The arrival day of Vilnius is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Manchester, Santorini, Madrid, Lyon].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stuttgart, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Lyon to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Lyon to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Lyon to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Vilnius is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Santorini, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 11 - 15).\n       |- The departure day of Vilnius is Day 11. The arrival day of Warsaw is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Manchester, Santorini, Amsterdam, Vilnius].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vilnius to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Stuttgart, Edinburgh, Lyon] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Warsaw to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Madrid].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Edinburgh, Lyon] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Madrid to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Madrid to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Madrid to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Madrid, Lyon].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Edinburgh] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Lyon to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Edinburgh from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Lyon to Edinburgh.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Warsaw to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Stuttgart].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Madrid, Edinburgh, Lyon] and explore these options in order.\n             |- Try arranging to visit Madrid from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Stuttgart to Madrid.\n             |- No. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Stuttgart to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Stuttgart, Edinburgh].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Madrid, Lyon] and explore these options in order.\n               |- Try arranging to visit Madrid from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Edinburgh to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Stuttgart, Edinburgh, Madrid].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Madrid to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Manchester, Santorini, Amsterdam, Vilnius, Warsaw, Stuttgart, Edinburgh, Madrid, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Santorini.\n**Day 4-5:** Visit Santorini for 2 days.\n**Day 5:** Fly from Santorini to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Stuttgart.\n**Day 15-18:** Visit Stuttgart for 4 days.\n**Day 18:** Fly from Stuttgart to Edinburgh.\n**Day 18-20:** Visit Edinburgh for 3 days.\n**Day 20:** Fly from Edinburgh to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Lyon.\n**Day 21-22:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Budapest**Rome**Riga**Tallinn**Frankfurt**Lyon**Vienna**Santorini",
    "ground_truth_durations": "2**4**5**2**4**4**5**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 20,
        "end_day": 23
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Budapest",
        "Rome"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Berlin",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 2 days. You want to meet a friend in Berlin between day 1 and day 2. You plan to stay in Riga for 2 days. You want to spend 4 days in Tallinn. You plan to stay in Lyon for 5 days. You would like to visit Santorini for 2 days. You have to attend a workshop in Santorini between day 23 and day 24. You would like to visit Rome for 5 days. You are going to attend a wedding in Rome between day 5 and day 9. You plan to stay in Frankfurt for 4 days. You want to spend 4 days in Budapest. You would like to visit Vienna for 4 days. You would like to meet your friends at Vienna between day 20 and day 23 to tour together.\n\nHere are the cities that have direct flights:\nBudapest and Frankfurt, Riga and Vienna, Berlin and Rome, Tallinn and Frankfurt, Rome and Frankfurt, Rome and Lyon, Rome and Vienna, Budapest and Vienna, Lyon and Vienna, Budapest and Rome, Berlin and Frankfurt, Vienna and Santorini, Frankfurt and Vienna, from Riga to Tallinn, Berlin and Vienna, Riga and Frankfurt, Rome and Santorini, Frankfurt and Lyon, Berlin and Tallinn, from Rome to Riga, Berlin and Riga, Berlin and Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 2 days. You want to meet a friend in Berlin between day 1 and day 2. You plan to stay in Riga for 2 days. You want to spend 4 days in Tallinn. You plan to stay in Lyon for 5 days. You would like to visit Santorini for 2 days. You have to attend a workshop in Santorini between day 23 and day 24. You would like to visit Rome for 5 days. You are going to attend a wedding in Rome between day 5 and day 9. You plan to stay in Frankfurt for 4 days. You want to spend 4 days in Budapest. You would like to visit Vienna for 4 days. You would like to meet your friends at Vienna between day 20 and day 23 to tour together.\n\nHere are the cities that have direct flights:\nfrom Budapest to Frankfurt, from Riga to Vienna, from Berlin to Rome, from Tallinn to Frankfurt, from Rome to Frankfurt, from Rome to Lyon, from Rome to Vienna, from Budapest to Vienna, from Lyon to Vienna, from Budapest to Rome, from Berlin to Frankfurt, from Vienna to Santorini, from Frankfurt to Vienna, from Riga to Tallinn, from Berlin to Vienna, from Riga to Frankfurt, from Rome to Santorini, from Frankfurt to Lyon, from Berlin to Tallinn, from Rome to Riga, from Berlin to Riga, from Berlin to Budapest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Budapest.\n**Day 2-5:** Visit Budapest for 4 days.\n**Day 5:** Fly from Budapest to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Lyon.\n**Day 16-20:** Visit Lyon for 5 days.\n**Day 20:** Fly from Lyon to Vienna.\n**Day 20-23:** Visit Vienna for 4 days.\n**Day 23:** Fly from Vienna to Santorini.\n**Day 23-24:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1273",
    "estimated_output_tokens": 3425,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Frankfurt, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 5 - 9.\n* City: Vienna, Fixed Schedule: Day 20 - 23.\n* City: Santorini, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 9).\n |- The departure day of Berlin is Day 2. The arrival day of Rome is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Lyon, Frankfurt, Budapest] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Berlin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 9).\n   |- The departure day of Riga is Day 3. The arrival day of Rome is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Berlin, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Frankfurt, Budapest] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 5 - 9).\n     |- The departure day of Tallinn is Day 6. The arrival day of Rome is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 5 - 9).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Rome is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 9).\n   |- The departure day of Tallinn is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Rome.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Berlin to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 9).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Frankfurt to Rome.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Berlin to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 9).\n   |- The departure day of Budapest is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Budapest to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 20 - 23).\n     |- The departure day of Rome is Day 9. The arrival day of Vienna is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Budapest, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Lyon, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 20 - 23).\n       |- The departure day of Riga is Day 10. The arrival day of Vienna is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Budapest, Rome, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vienna (Day 20 - 23).\n         |- The departure day of Tallinn is Day 13. The arrival day of Vienna is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Budapest, Rome, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vienna (Day 20 - 23).\n           |- The departure day of Frankfurt is Day 16. The arrival day of Vienna is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Berlin, Budapest, Rome, Riga, Tallinn, Frankfurt].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Frankfurt to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vienna (Day 20 - 23).\n             |- The departure day of Lyon is Day 20. The arrival day of Vienna is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, Budapest, Rome, Riga, Tallinn, Frankfurt, Lyon].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Vienna.\n               |- Try arranging to visit Vienna from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Lyon to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Santorini (Day 23 - 24).\n               |- The departure day of Vienna is Day 23. The arrival day of Santorini is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Berlin, Budapest, Rome, Riga, Tallinn, Frankfurt, Lyon, Vienna].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Santorini.\n                 |- Try arranging to visit Santorini from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Vienna to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Berlin, Budapest, Rome, Riga, Tallinn, Frankfurt, Lyon, Vienna, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Budapest.\n**Day 2-5:** Visit Budapest for 4 days.\n**Day 5:** Fly from Budapest to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Lyon.\n**Day 16-20:** Visit Lyon for 5 days.\n**Day 20:** Fly from Lyon to Vienna.\n**Day 20-23:** Visit Vienna for 4 days.\n**Day 23:** Fly from Vienna to Santorini.\n**Day 23-24:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Dublin**Venice**Athens**Hamburg**Helsinki**Reykjavik**Rome**Seville",
    "ground_truth_durations": "4**4**3**3**3**2**4**2**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Athens"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Dublin",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You would like to visit Reykjavik for 4 days. You would like to meet your friends at Reykjavik between day 14 and day 17 to tour together. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 4 and day 7. You plan to stay in Helsinki for 2 days. You would like to visit Athens for 3 days. You want to spend 2 days in Seville. You plan to stay in Venice for 3 days. During day 7 and day 9, you have to attend a conference in Venice. You plan to stay in Rome for 2 days. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 1 and day 4.\n\nHere are the cities that have direct flights:\nDublin and Athens, Dublin and Helsinki, Athens and Hamburg, Venice and Helsinki, Venice and Hamburg, Dublin and Hamburg, Dublin and Venice, from Reykjavik to Athens, Helsinki and Reykjavik, Athens and Rome, Krakow and Dublin, Rome and Seville, Venice and Athens, Venice and Rome, Hamburg and Helsinki, Dublin and Reykjavik, Helsinki and Rome, Krakow and Helsinki, Hamburg and Rome, Reykjavik and Rome, Dublin and Rome, Dublin and Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Hamburg. You would like to visit Reykjavik for 4 days. You would like to meet your friends at Reykjavik between day 14 and day 17 to tour together. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 4 and day 7. You plan to stay in Helsinki for 2 days. You would like to visit Athens for 3 days. You want to spend 2 days in Seville. You plan to stay in Venice for 3 days. During day 7 and day 9, you have to attend a conference in Venice. You plan to stay in Rome for 2 days. You would like to visit Krakow for 4 days. You want to meet a friend in Krakow between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Dublin to Athens, from Dublin to Helsinki, from Athens to Hamburg, from Venice to Helsinki, from Venice to Hamburg, from Dublin to Hamburg, from Dublin to Venice, from Reykjavik to Athens, from Helsinki to Reykjavik, from Athens to Rome, from Krakow to Dublin, from Rome to Seville, from Venice to Athens, from Venice to Rome, from Hamburg to Helsinki, from Dublin to Reykjavik, from Helsinki to Rome, from Krakow to Helsinki, from Hamburg to Rome, from Reykjavik to Rome, from Dublin to Rome, from Dublin to Seville.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Hamburg.\n**Day 11-13:** Visit Hamburg for 3 days.\n**Day 13:** Fly from Hamburg to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.\n**Day 14:** Fly from Helsinki to Reykjavik.\n**Day 14-17:** Visit Reykjavik for 4 days.\n**Day 17:** Fly from Reykjavik to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Seville.\n**Day 18-19:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1274",
    "estimated_output_tokens": 5141,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Helsinki, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Rome, Duration: 2 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Fixed Schedule: Day 4 - 7.\n* City: Venice, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 3 days.\n* City: Helsinki, Duration: 2 days.\n* City: Athens, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 4 - 7).\n |- The departure day of Krakow is Day 4. The arrival day of Dublin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Krakow to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 9).\n   |- The departure day of Dublin is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Krakow, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Dublin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 14 - 17).\n     |- The departure day of Venice is Day 9. The arrival day of Reykjavik is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Krakow, Dublin, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Helsinki, Athens, Seville, Rome] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 14 - 17).\n       |- The departure day of Hamburg is Day 11. The arrival day of Reykjavik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Dublin, Venice, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Athens, Seville, Rome] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 17).\n         |- The departure day of Helsinki is Day 12. The arrival day of Reykjavik is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Krakow, Dublin, Venice, Hamburg, Helsinki].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Seville, Rome] and explore these options in order.\n           |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Helsinki to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Helsinki to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Helsinki to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Reykjavik (Day 14 - 17).\n           |- The departure day of Rome is Day 13. The arrival day of Reykjavik is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Krakow, Dublin, Venice, Hamburg, Helsinki, Rome].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Seville] and explore these options in order.\n             |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Rome to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Rome to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 14 - 17).\n             |- The departure day of Seville is Day 14. The arrival day of Reykjavik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Krakow, Dublin, Venice, Hamburg, Helsinki, Rome, Seville].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- Yes. The city with an arrival day of Day 14 - is fixed: Reykjavik.\n               |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Seville to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Hamburg to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 17).\n         |- The departure day of Rome is Day 12. The arrival day of Reykjavik is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Krakow, Dublin, Venice, Hamburg, Rome].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Athens, Seville] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Rome to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Rome to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Rome to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Reykjavik (Day 14 - 17).\n           |- The departure day of Seville is Day 13. The arrival day of Reykjavik is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Krakow, Dublin, Venice, Hamburg, Rome, Seville].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Athens] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Seville to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Seville to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 14 - 17).\n       |- The departure day of Helsinki is Day 10. The arrival day of Reykjavik is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Krakow, Dublin, Venice, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Athens, Seville, Rome] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Helsinki to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Helsinki to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 14 - 17).\n         |- The departure day of Rome is Day 11. The arrival day of Reykjavik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Krakow, Dublin, Venice, Helsinki, Rome].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Athens, Seville] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Rome to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Rome to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Rome to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 17).\n           |- The departure day of Seville is Day 12. The arrival day of Reykjavik is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Krakow, Dublin, Venice, Helsinki, Rome, Seville].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Athens] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Seville to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Seville to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 14 - 17).\n       |- The departure day of Athens is Day 11. The arrival day of Reykjavik is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Dublin, Venice, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Helsinki, Seville, Rome] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 14 - 17).\n         |- The departure day of Hamburg is Day 13. The arrival day of Reykjavik is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Dublin, Venice, Athens, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Seville, Rome] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Hamburg to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 14 - 17).\n           |- The departure day of Helsinki is Day 14. The arrival day of Reykjavik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Krakow, Dublin, Venice, Athens, Hamburg, Helsinki].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Helsinki to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Krakow, Dublin, Venice, Athens, Hamburg, Helsinki, Reykjavik].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville, Rome] and explore these options in order.\n               |- Try arranging to visit Seville from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Reykjavik to Seville.\n               |- No. Drop this branch.\n               |- Try arranging to visit Rome from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Reykjavik to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Krakow, Dublin, Venice, Athens, Hamburg, Helsinki, Reykjavik, Rome].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Rome to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Krakow, Dublin, Venice, Athens, Hamburg, Helsinki, Reykjavik, Rome, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Krakow and visit Krakow for 4 days.\n**Day 4:** Fly from Krakow to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Hamburg.\n**Day 11-13:** Visit Hamburg for 3 days.\n**Day 13:** Fly from Hamburg to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.\n**Day 14:** Fly from Helsinki to Reykjavik.\n**Day 14-17:** Visit Reykjavik for 4 days.\n**Day 17:** Fly from Reykjavik to Rome.\n**Day 17-18:** Visit Rome for 2 days.\n**Day 18:** Fly from Rome to Seville.\n**Day 18-19:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Rome**Munich**Mykonos**Budapest**Stuttgart**Split**Zurich**Riga",
    "ground_truth_durations": "4**2**5**5**2**3**5**4**3",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Riga"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Madrid",
        "Rome"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Madrid",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. You plan to stay in Rome for 2 days. From day 4 to day 5, there is a annual show you want to attend in Rome. You would like to visit Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9. You want to spend 5 days in Split. You would like to visit Stuttgart for 3 days. During day 14 and day 16, you have to attend a conference in Stuttgart. You would like to visit Madrid for 4 days. You want to meet a friend in Madrid between day 1 and day 4. You want to spend 5 days in Mykonos. You would like to visit Budapest for 2 days. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nZurich and Riga, Rome and Mykonos, Rome and Munich, from Riga to Munich, Rome and Split, Munich and Budapest, Madrid and Mykonos, Split and Zurich, Munich and Split, Budapest and Stuttgart, Mykonos and Zurich, Mykonos and Budapest, Rome and Zurich, Stuttgart and Split, Rome and Stuttgart, Madrid and Budapest, from Rome to Riga, Madrid and Zurich, Munich and Mykonos, Munich and Zurich, Budapest and Zurich, Madrid and Rome, Rome and Budapest, Madrid and Split, Madrid and Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. You plan to stay in Rome for 2 days. From day 4 to day 5, there is a annual show you want to attend in Rome. You would like to visit Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9. You want to spend 5 days in Split. You would like to visit Stuttgart for 3 days. During day 14 and day 16, you have to attend a conference in Stuttgart. You would like to visit Madrid for 4 days. You want to meet a friend in Madrid between day 1 and day 4. You want to spend 5 days in Mykonos. You would like to visit Budapest for 2 days. You would like to visit Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Riga, from Rome to Mykonos, from Rome to Munich, from Riga to Munich, from Rome to Split, from Munich to Budapest, from Madrid to Mykonos, from Split to Zurich, from Munich to Split, from Budapest to Stuttgart, from Mykonos to Zurich, from Mykonos to Budapest, from Rome to Zurich, from Stuttgart to Split, from Rome to Stuttgart, from Madrid to Budapest, from Rome to Riga, from Madrid to Zurich, from Munich to Mykonos, from Munich to Zurich, from Budapest to Zurich, from Madrid to Rome, from Rome to Budapest, from Madrid to Split, from Madrid to Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n**Day 13:** Fly from Mykonos to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Split.\n**Day 16-20:** Visit Split for 5 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-23:** Visit Zurich for 4 days.\n**Day 23:** Fly from Zurich to Riga.\n**Day 23-25:** Visit Riga for 3 days.",
    "id": "trip_planning_example_1275",
    "estimated_output_tokens": 3492,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Split, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Mykonos, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 4 - 5.\n* City: Munich, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Split, Duration: 5 days.\n* City: Mykonos, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 4 - 5).\n |- The departure day of Madrid is Day 4. The arrival day of Rome is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Madrid to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 14 - 16).\n     |- The departure day of Munich is Day 9. The arrival day of Stuttgart is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Rome, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Split, Mykonos, Budapest, Riga] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 14 - 16).\n       |- The departure day of Zurich is Day 12. The arrival day of Stuttgart is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Rome, Munich, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Mykonos, Budapest, Riga] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Zurich to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Zurich to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 14 - 16).\n         |- The departure day of Riga is Day 14. The arrival day of Stuttgart is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Rome, Munich, Zurich, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 14 - 16).\n       |- The departure day of Split is Day 13. The arrival day of Stuttgart is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Rome, Munich, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Mykonos, Budapest, Riga] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Split to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 14 - 16).\n         |- The departure day of Zurich is Day 16. The arrival day of Stuttgart is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 14 - 16).\n       |- The departure day of Mykonos is Day 13. The arrival day of Stuttgart is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Rome, Munich, Mykonos].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Split, Budapest, Riga] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Mykonos to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 14 - 16).\n         |- The departure day of Zurich is Day 16. The arrival day of Stuttgart is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Mykonos to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Mykonos to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 14 - 16).\n         |- The departure day of Budapest is Day 14. The arrival day of Stuttgart is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Rome, Munich, Mykonos, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Budapest to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Rome, Munich, Mykonos, Budapest, Stuttgart].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Split, Riga] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Stuttgart to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Madrid, Rome, Munich, Mykonos, Budapest, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Zurich, Riga] and explore these options in order.\n               |- Try arranging to visit Zurich from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Split to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Madrid, Rome, Munich, Mykonos, Budapest, Stuttgart, Split, Zurich].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Zurich to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Madrid, Rome, Munich, Mykonos, Budapest, Stuttgart, Split, Zurich, Riga].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n**Day 13:** Fly from Mykonos to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Split.\n**Day 16-20:** Visit Split for 5 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-23:** Visit Zurich for 4 days.\n**Day 23:** Fly from Zurich to Riga.\n**Day 23-25:** Visit Riga for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Helsinki**Oslo**Warsaw**Stockholm**Hamburg**Stuttgart**Manchester**Santorini",
    "ground_truth_durations": "2**4**4**3**2**4**2**5**2",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Dublin",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 3 days. You want to meet a friend in Warsaw between day 8 and day 10. You plan to stay in Stuttgart for 2 days. You want to spend 4 days in Helsinki. You have to attend a workshop in Helsinki between day 2 and day 5. You plan to stay in Hamburg for 4 days. You plan to visit relatives in Hamburg between day 11 and day 14. You would like to visit Stockholm for 2 days. During day 10 and day 11, you have to attend a conference in Stockholm. You want to spend 2 days in Dublin. You plan to stay in Oslo for 4 days. You would like to visit Manchester for 5 days. You would like to visit Santorini for 2 days.\n\nHere are the cities that have direct flights:\nOslo and Manchester, Stockholm and Manchester, Manchester and Santorini, Dublin and Oslo, Dublin and Hamburg, Oslo and Hamburg, Stockholm and Hamburg, Dublin and Helsinki, Warsaw and Manchester, Dublin and Santorini, Hamburg and Manchester, Helsinki and Manchester, from Santorini to Oslo, Warsaw and Hamburg, Warsaw and Stockholm, Helsinki and Oslo, Helsinki and Stockholm, Oslo and Stockholm, from Stockholm to Santorini, Warsaw and Stuttgart, Dublin and Stockholm, Helsinki and Warsaw, Hamburg and Stuttgart, Helsinki and Hamburg, Stockholm and Stuttgart, Oslo and Warsaw, Stuttgart and Manchester, Dublin and Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 3 days. You want to meet a friend in Warsaw between day 8 and day 10. You plan to stay in Stuttgart for 2 days. You want to spend 4 days in Helsinki. You have to attend a workshop in Helsinki between day 2 and day 5. You plan to stay in Hamburg for 4 days. You plan to visit relatives in Hamburg between day 11 and day 14. You would like to visit Stockholm for 2 days. During day 10 and day 11, you have to attend a conference in Stockholm. You want to spend 2 days in Dublin. You plan to stay in Oslo for 4 days. You would like to visit Manchester for 5 days. You would like to visit Santorini for 2 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Manchester, from Stockholm to Manchester, from Manchester to Santorini, from Dublin to Oslo, from Dublin to Hamburg, from Oslo to Hamburg, from Stockholm to Hamburg, from Dublin to Helsinki, from Warsaw to Manchester, from Dublin to Santorini, from Hamburg to Manchester, from Helsinki to Manchester, from Santorini to Oslo, from Warsaw to Hamburg, from Warsaw to Stockholm, from Helsinki to Oslo, from Helsinki to Stockholm, from Oslo to Stockholm, from Stockholm to Santorini, from Warsaw to Stuttgart, from Dublin to Stockholm, from Helsinki to Warsaw, from Hamburg to Stuttgart, from Helsinki to Hamburg, from Stockholm to Stuttgart, from Oslo to Warsaw, from Stuttgart to Manchester, from Dublin to Manchester.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Helsinki.\n**Day 2-5:** Visit Helsinki for 4 days.\n**Day 5:** Fly from Helsinki to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Warsaw.\n**Day 8-10:** Visit Warsaw for 3 days.\n**Day 10:** Fly from Warsaw to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1276",
    "estimated_output_tokens": 2452,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Stuttgart, Duration: 2 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Dublin, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 2 - 5.\n* City: Warsaw, Fixed Schedule: Day 8 - 10.\n* City: Stockholm, Fixed Schedule: Day 10 - 11.\n* City: Hamburg, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Manchester, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Dublin, Oslo, Manchester, Santorini] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 5).\n |- The departure day of Stuttgart is Day 2. The arrival day of Helsinki is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Helsinki.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 2 - 5).\n |- The departure day of Dublin is Day 2. The arrival day of Helsinki is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dublin to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 8 - 10).\n   |- The departure day of Helsinki is Day 5. The arrival day of Warsaw is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Oslo, Manchester, Santorini] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 8 - 10).\n     |- The departure day of Oslo is Day 8. The arrival day of Warsaw is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dublin, Helsinki, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Oslo to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 10 - 11).\n       |- The departure day of Warsaw is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dublin, Helsinki, Oslo, Warsaw].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Warsaw to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 11 - 14).\n         |- The departure day of Stockholm is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dublin, Helsinki, Oslo, Warsaw, Stockholm].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Stockholm to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dublin, Helsinki, Oslo, Warsaw, Stockholm, Hamburg].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Manchester, Santorini] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Hamburg to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Dublin, Helsinki, Oslo, Warsaw, Stockholm, Hamburg, Stuttgart].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Stuttgart to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Dublin, Helsinki, Oslo, Warsaw, Stockholm, Hamburg, Stuttgart, Manchester].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Manchester to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Dublin, Helsinki, Oslo, Warsaw, Stockholm, Hamburg, Stuttgart, Manchester, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Helsinki.\n**Day 2-5:** Visit Helsinki for 4 days.\n**Day 5:** Fly from Helsinki to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Warsaw.\n**Day 8-10:** Visit Warsaw for 3 days.\n**Day 10:** Fly from Warsaw to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Vienna**Copenhagen**Tallinn**Zurich**Mykonos**Geneva**Lisbon**Istanbul",
    "ground_truth_durations": "4**5**4**3**5**3**2**5**3",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 17,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Zurich",
        "Istanbul"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Tallinn",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 5 days. You would like to visit Istanbul for 3 days. You have to attend a workshop in Istanbul between day 24 and day 26. You want to spend 4 days in Vilnius. You would like to visit Copenhagen for 4 days. You plan to stay in Lisbon for 5 days. You want to spend 3 days in Tallinn. You would like to visit Geneva for 2 days. You want to spend 5 days in Vienna. From day 4 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Mykonos for 3 days. You want to meet a friend in Mykonos between day 17 and day 19.\n\nHere are the cities that have direct flights:\nVienna and Geneva, Geneva and Lisbon, Zurich and Geneva, Zurich and Istanbul, Vienna and Mykonos, Copenhagen and Istanbul, Copenhagen and Geneva, Copenhagen and Lisbon, from Tallinn to Vilnius, Copenhagen and Tallinn, Geneva and Istanbul, from Istanbul to Tallinn, Vilnius and Vienna, Vienna and Zurich, Vienna and Istanbul, Vienna and Lisbon, Zurich and Mykonos, Copenhagen and Zurich, Vilnius and Copenhagen, Zurich and Lisbon, Vilnius and Istanbul, Mykonos and Geneva, Vienna and Copenhagen, Lisbon and Istanbul, Vilnius and Zurich, Tallinn and Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 5 days. You would like to visit Istanbul for 3 days. You have to attend a workshop in Istanbul between day 24 and day 26. You want to spend 4 days in Vilnius. You would like to visit Copenhagen for 4 days. You plan to stay in Lisbon for 5 days. You want to spend 3 days in Tallinn. You would like to visit Geneva for 2 days. You want to spend 5 days in Vienna. From day 4 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Mykonos for 3 days. You want to meet a friend in Mykonos between day 17 and day 19.\n\nHere are the cities that have direct flights:\nfrom Vienna to Geneva, from Geneva to Lisbon, from Zurich to Geneva, from Zurich to Istanbul, from Vienna to Mykonos, from Copenhagen to Istanbul, from Copenhagen to Geneva, from Copenhagen to Lisbon, from Tallinn to Vilnius, from Copenhagen to Tallinn, from Geneva to Istanbul, from Istanbul to Tallinn, from Vilnius to Vienna, from Vienna to Zurich, from Vienna to Istanbul, from Vienna to Lisbon, from Zurich to Mykonos, from Copenhagen to Zurich, from Vilnius to Copenhagen, from Zurich to Lisbon, from Vilnius to Istanbul, from Mykonos to Geneva, from Vienna to Copenhagen, from Lisbon to Istanbul, from Vilnius to Zurich, from Tallinn to Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Vienna.\n**Day 4-8:** Visit Vienna for 5 days.\n**Day 8:** Fly from Vienna to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Mykonos.\n**Day 17-19:** Visit Mykonos for 3 days.\n**Day 19:** Fly from Mykonos to Geneva.\n**Day 19-20:** Visit Geneva for 2 days.\n**Day 20:** Fly from Geneva to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.\n**Day 24:** Fly from Lisbon to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.",
    "id": "trip_planning_example_1277",
    "estimated_output_tokens": 4903,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 5 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Vilnius, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 4 - 8.\n* City: Mykonos, Fixed Schedule: Day 17 - 19.\n* City: Istanbul, Fixed Schedule: Day 24 - 26.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Vilnius, Copenhagen, Lisbon, Tallinn, Geneva] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 4 - 8).\n |- The departure day of Zurich is Day 5. The arrival day of Vienna is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 4 - 8).\n |- The departure day of Vilnius is Day 4. The arrival day of Vienna is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 17 - 19).\n   |- The departure day of Vienna is Day 8. The arrival day of Mykonos is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Vienna].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Copenhagen, Lisbon, Tallinn, Geneva] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Vienna to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 17 - 19).\n     |- The departure day of Zurich is Day 12. The arrival day of Mykonos is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vilnius, Vienna, Zurich].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Tallinn, Geneva] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Zurich to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Zurich to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 17 - 19).\n       |- The departure day of Lisbon is Day 16. The arrival day of Mykonos is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Vilnius, Vienna, Zurich, Lisbon].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Geneva] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Lisbon to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Lisbon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Lisbon to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Zurich to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 17 - 19).\n       |- The departure day of Geneva is Day 13. The arrival day of Mykonos is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Vienna, Zurich, Geneva].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Tallinn] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Geneva to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Geneva to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 17 - 19).\n         |- The departure day of Lisbon is Day 17. The arrival day of Mykonos is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vilnius, Vienna, Zurich, Geneva, Lisbon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Lisbon to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Vienna to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 17 - 19).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Mykonos is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Vienna, Copenhagen].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Lisbon, Tallinn, Geneva] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Copenhagen to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 17 - 19).\n       |- The departure day of Zurich is Day 15. The arrival day of Mykonos is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vilnius, Vienna, Copenhagen, Zurich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Tallinn, Geneva] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Zurich to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 17 - 19).\n         |- The departure day of Lisbon is Day 19. The arrival day of Mykonos is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Zurich to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 17 - 19).\n         |- The departure day of Geneva is Day 16. The arrival day of Mykonos is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Vilnius, Vienna, Copenhagen, Zurich, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Tallinn] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Geneva to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 17 - 19).\n           |- The departure day of Lisbon is Day 20. The arrival day of Mykonos is Day 17. Day 20 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Geneva to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Copenhagen to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 17 - 19).\n       |- The departure day of Lisbon is Day 15. The arrival day of Mykonos is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vilnius, Vienna, Copenhagen, Lisbon].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Tallinn, Geneva] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Lisbon to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Lisbon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Lisbon to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 17 - 19).\n       |- The departure day of Tallinn is Day 13. The arrival day of Mykonos is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Lisbon, Geneva] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Tallinn to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 17 - 19).\n         |- The departure day of Zurich is Day 17. The arrival day of Mykonos is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn, Zurich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Zurich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Istanbul (Day 24 - 26).\n           |- The departure day of Mykonos is Day 19. The arrival day of Istanbul is Day 24. Day 19 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn, Zurich, Mykonos].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Geneva] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Mykonos to Lisbon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Mykonos to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Istanbul (Day 24 - 26).\n             |- The departure day of Geneva is Day 20. The arrival day of Istanbul is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn, Zurich, Mykonos, Geneva].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Geneva to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Istanbul (Day 24 - 26).\n               |- The departure day of Lisbon is Day 24. The arrival day of Istanbul is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn, Zurich, Mykonos, Geneva, Lisbon].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Istanbul.\n                 |- Try arranging to visit Istanbul from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Lisbon to Istanbul.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Vilnius, Vienna, Copenhagen, Tallinn, Zurich, Mykonos, Geneva, Lisbon, Istanbul].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Vienna.\n**Day 4-8:** Visit Vienna for 5 days.\n**Day 8:** Fly from Vienna to Copenhagen.\n**Day 8-11:** Visit Copenhagen for 4 days.\n**Day 11:** Fly from Copenhagen to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Zurich.\n**Day 13-17:** Visit Zurich for 5 days.\n**Day 17:** Fly from Zurich to Mykonos.\n**Day 17-19:** Visit Mykonos for 3 days.\n**Day 19:** Fly from Mykonos to Geneva.\n**Day 19-20:** Visit Geneva for 2 days.\n**Day 20:** Fly from Geneva to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.\n**Day 24:** Fly from Lisbon to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Valencia**Zurich**Florence**Munich**Edinburgh**Porto**Stuttgart**Lisbon",
    "ground_truth_durations": "5**3**2**4**2**3**3**5**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Florence"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Zurich",
        "Edinburgh"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Munich"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You want to meet a friend in Valencia between day 5 and day 7. You plan to stay in Florence for 4 days. You plan to stay in Stuttgart for 5 days. You plan to stay in Munich for 2 days. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 14 and day 16. You want to spend 5 days in Rome. You want to spend 2 days in Zurich. You would like to visit Lisbon for 2 days. From day 20 to day 21, there is a annual show you want to attend in Lisbon. You would like to visit Edinburgh for 3 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Florence, Rome and Edinburgh, Edinburgh and Porto, Zurich and Lisbon, Florence and Lisbon, Rome and Munich, Munich and Edinburgh, Zurich and Edinburgh, Munich and Lisbon, Zurich and Porto, Rome and Zurich, Munich and Porto, Rome and Valencia, Valencia and Munich, Valencia and Porto, Porto and Lisbon, Valencia and Zurich, Rome and Stuttgart, Stuttgart and Lisbon, Valencia and Stuttgart, Valencia and Lisbon, Rome and Lisbon, from Florence to Munich, Porto and Stuttgart, Zurich and Munich, Edinburgh and Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 3 days. You want to meet a friend in Valencia between day 5 and day 7. You plan to stay in Florence for 4 days. You plan to stay in Stuttgart for 5 days. You plan to stay in Munich for 2 days. You plan to stay in Porto for 3 days. You plan to visit relatives in Porto between day 14 and day 16. You want to spend 5 days in Rome. You want to spend 2 days in Zurich. You would like to visit Lisbon for 2 days. From day 20 to day 21, there is a annual show you want to attend in Lisbon. You would like to visit Edinburgh for 3 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Florence, from Rome to Edinburgh, from Edinburgh to Porto, from Zurich to Lisbon, from Florence to Lisbon, from Rome to Munich, from Munich to Edinburgh, from Zurich to Edinburgh, from Munich to Lisbon, from Zurich to Porto, from Rome to Zurich, from Munich to Porto, from Rome to Valencia, from Valencia to Munich, from Valencia to Porto, from Porto to Lisbon, from Valencia to Zurich, from Rome to Stuttgart, from Stuttgart to Lisbon, from Valencia to Stuttgart, from Valencia to Lisbon, from Rome to Lisbon, from Florence to Munich, from Porto to Stuttgart, from Zurich to Munich, from Edinburgh to Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Valencia.\n**Day 5-7:** Visit Valencia for 3 days.\n**Day 7:** Fly from Valencia to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Edinburgh.\n**Day 12-14:** Visit Edinburgh for 3 days.\n**Day 14:** Fly from Edinburgh to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Stuttgart.\n**Day 16-20:** Visit Stuttgart for 5 days.\n**Day 20:** Fly from Stuttgart to Lisbon.\n**Day 20-21:** Visit Lisbon for 2 days.",
    "id": "trip_planning_example_1278",
    "estimated_output_tokens": 5437,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Florence, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Rome, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Edinburgh, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 5 - 7.\n* City: Porto, Fixed Schedule: Day 14 - 16.\n* City: Lisbon, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Zurich, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Munich, Rome, Zurich, Edinburgh] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 7).\n |- The departure day of Florence is Day 4. The arrival day of Valencia is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Munich, Rome, Zurich, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 5 - 7).\n   |- The departure day of Munich is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 7).\n |- The departure day of Stuttgart is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 7).\n |- The departure day of Munich is Day 2. The arrival day of Valencia is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Rome, Zurich, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 5 - 7).\n   |- The departure day of Edinburgh is Day 4. The arrival day of Valencia is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Munich, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Rome, Zurich] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Edinburgh to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 5 - 7).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Valencia is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Edinburgh to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 7).\n |- The departure day of Rome is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Rome to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n   |- The departure day of Valencia is Day 7. The arrival day of Porto is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Rome, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Munich, Zurich, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Valencia to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 16).\n     |- The departure day of Stuttgart is Day 11. The arrival day of Porto is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Valencia, Stuttgart].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Munich, Zurich, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Stuttgart to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Stuttgart to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 16).\n     |- The departure day of Munich is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Valencia, Munich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Zurich, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Munich to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Munich to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Munich to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Munich to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 16).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Porto is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Rome, Valencia, Munich, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Zurich] and explore these options in order.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 16).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Rome, Valencia, Munich, Edinburgh, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stuttgart to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Edinburgh to Zurich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Valencia to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 14 - 16).\n     |- The departure day of Zurich is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Valencia, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Munich, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 16).\n       |- The departure day of Florence is Day 11. The arrival day of Porto is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Valencia, Zurich, Florence].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Munich, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Florence to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Florence to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 14 - 16).\n         |- The departure day of Munich is Day 12. The arrival day of Porto is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Rome, Valencia, Zurich, Florence, Munich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Munich to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Munich to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 14 - 16).\n           |- The departure day of Edinburgh is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Rome, Valencia, Zurich, Florence, Munich, Edinburgh].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n             |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Edinburgh to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lisbon (Day 20 - 21).\n             |- The departure day of Porto is Day 16. The arrival day of Lisbon is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Rome, Valencia, Zurich, Florence, Munich, Edinburgh, Porto].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Porto to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 20 - 21).\n               |- The departure day of Stuttgart is Day 20. The arrival day of Lisbon is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Rome, Valencia, Zurich, Florence, Munich, Edinburgh, Porto, Stuttgart].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Lisbon.\n                 |- Try arranging to visit Lisbon from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Stuttgart to Lisbon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Rome, Valencia, Zurich, Florence, Munich, Edinburgh, Porto, Stuttgart, Lisbon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Valencia.\n**Day 5-7:** Visit Valencia for 3 days.\n**Day 7:** Fly from Valencia to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Edinburgh.\n**Day 12-14:** Visit Edinburgh for 3 days.\n**Day 14:** Fly from Edinburgh to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Stuttgart.\n**Day 16-20:** Visit Stuttgart for 5 days.\n**Day 20:** Fly from Stuttgart to Lisbon.\n**Day 20-21:** Visit Lisbon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Istanbul**Athens**Santorini**Madrid**Porto**Edinburgh**Helsinki**Tallinn",
    "ground_truth_durations": "2**3**5**4**4**5**5**4**4",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Warsaw",
        "Athens"
      ],
      [
        "Warsaw",
        "Istanbul"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Istanbul",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. From day 14 to day 18, there is a annual show you want to attend in Porto. You would like to visit Santorini for 4 days. You would like to visit Athens for 5 days. You plan to visit relatives in Athens between day 4 and day 8. You want to spend 5 days in Edinburgh. You plan to stay in Istanbul for 3 days. You plan to stay in Tallinn for 4 days. You plan to stay in Warsaw for 2 days. You have to attend a workshop in Warsaw between day 1 and day 2. You plan to stay in Madrid for 4 days. You want to spend 4 days in Helsinki.\n\nHere are the cities that have direct flights:\nIstanbul and Athens, Madrid and Edinburgh, Istanbul and Porto, Istanbul and Helsinki, Athens and Santorini, Warsaw and Athens, Warsaw and Istanbul, Madrid and Porto, Warsaw and Helsinki, Athens and Edinburgh, Warsaw and Tallinn, Warsaw and Madrid, Istanbul and Madrid, Istanbul and Edinburgh, Porto and Edinburgh, Madrid and Helsinki, Warsaw and Porto, Athens and Madrid, Edinburgh and Helsinki, Helsinki and Tallinn, Santorini and Madrid, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 5 days. From day 14 to day 18, there is a annual show you want to attend in Porto. You would like to visit Santorini for 4 days. You would like to visit Athens for 5 days. You plan to visit relatives in Athens between day 4 and day 8. You want to spend 5 days in Edinburgh. You plan to stay in Istanbul for 3 days. You plan to stay in Tallinn for 4 days. You plan to stay in Warsaw for 2 days. You have to attend a workshop in Warsaw between day 1 and day 2. You plan to stay in Madrid for 4 days. You want to spend 4 days in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Athens, from Madrid to Edinburgh, from Istanbul to Porto, from Istanbul to Helsinki, from Athens to Santorini, from Warsaw to Athens, from Warsaw to Istanbul, from Madrid to Porto, from Warsaw to Helsinki, from Athens to Edinburgh, from Warsaw to Tallinn, from Warsaw to Madrid, from Istanbul to Madrid, from Istanbul to Edinburgh, from Porto to Edinburgh, from Madrid to Helsinki, from Warsaw to Porto, from Athens to Madrid, from Edinburgh to Helsinki, from Helsinki to Tallinn, from Santorini to Madrid, from Istanbul to Tallinn.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Madrid.\n**Day 11-14:** Visit Madrid for 4 days.\n**Day 14:** Fly from Madrid to Porto.\n**Day 14-18:** Visit Porto for 5 days.\n**Day 18:** Fly from Porto to Edinburgh.\n**Day 18-22:** Visit Edinburgh for 5 days.\n**Day 22:** Fly from Edinburgh to Helsinki.\n**Day 22-25:** Visit Helsinki for 4 days.\n**Day 25:** Fly from Helsinki to Tallinn.\n**Day 25-28:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1279",
    "estimated_output_tokens": 2427,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Santorini, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Edinburgh, Duration: 5 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 2.\n* City: Athens, Fixed Schedule: Day 4 - 8.\n* City: Porto, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Istanbul, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Madrid, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 4 - 8).\n |- The departure day of Warsaw is Day 2. The arrival day of Athens is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Istanbul, Tallinn, Madrid, Helsinki] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 4 - 8).\n   |- The departure day of Istanbul is Day 4. The arrival day of Athens is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Warsaw, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 14 - 18).\n     |- The departure day of Athens is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Warsaw, Istanbul, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Tallinn, Madrid, Helsinki] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 18).\n       |- The departure day of Santorini is Day 11. The arrival day of Porto is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Warsaw, Istanbul, Athens, Santorini].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Madrid, Helsinki] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Santorini to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Santorini to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 14 - 18).\n         |- The departure day of Madrid is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Warsaw, Istanbul, Athens, Santorini, Madrid].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Madrid to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Warsaw, Istanbul, Athens, Santorini, Madrid, Porto].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Helsinki] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Porto to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Warsaw, Istanbul, Athens, Santorini, Madrid, Porto, Edinburgh].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Edinburgh to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Helsinki from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Edinburgh to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Warsaw, Istanbul, Athens, Santorini, Madrid, Porto, Edinburgh, Helsinki].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Helsinki to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Warsaw, Istanbul, Athens, Santorini, Madrid, Porto, Edinburgh, Helsinki, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Warsaw and visit Warsaw for 2 days.\n**Day 2:** Fly from Warsaw to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Athens.\n**Day 4-8:** Visit Athens for 5 days.\n**Day 8:** Fly from Athens to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Madrid.\n**Day 11-14:** Visit Madrid for 4 days.\n**Day 14:** Fly from Madrid to Porto.\n**Day 14-18:** Visit Porto for 5 days.\n**Day 18:** Fly from Porto to Edinburgh.\n**Day 18-22:** Visit Edinburgh for 5 days.\n**Day 22:** Fly from Edinburgh to Helsinki.\n**Day 22-25:** Visit Helsinki for 4 days.\n**Day 25:** Fly from Helsinki to Tallinn.\n**Day 25-28:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Lyon**Prague**Tallinn**Vilnius**Berlin**Dublin**Athens**Mykonos",
    "ground_truth_durations": "3**5**3**3**5**5**3**5**4",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Dublin",
        "Athens"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Prague",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. From day 21 to day 25, there is a annual show you want to attend in Athens. You would like to visit Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 11 and day 15. You would like to visit Prague for 3 days. You would like to visit Mykonos for 4 days. You would like to visit Porto for 3 days. You would like to visit Berlin for 5 days. You would like to visit Tallinn for 3 days. You would like to visit Lyon for 5 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nLyon and Dublin, Prague and Tallinn, Porto and Berlin, Vilnius and Berlin, from Tallinn to Vilnius, Tallinn and Berlin, Berlin and Dublin, Lyon and Prague, Porto and Dublin, Prague and Athens, Athens and Mykonos, Dublin and Athens, Tallinn and Dublin, Vilnius and Athens, Porto and Lyon, Berlin and Athens, Prague and Dublin.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 5 days. From day 21 to day 25, there is a annual show you want to attend in Athens. You would like to visit Vilnius for 5 days. You are going to attend a wedding in Vilnius between day 11 and day 15. You would like to visit Prague for 3 days. You would like to visit Mykonos for 4 days. You would like to visit Porto for 3 days. You would like to visit Berlin for 5 days. You would like to visit Tallinn for 3 days. You would like to visit Lyon for 5 days. You would like to visit Dublin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Dublin, from Prague to Tallinn, from Porto to Berlin, from Vilnius to Berlin, from Tallinn to Vilnius, from Tallinn to Berlin, from Berlin to Dublin, from Lyon to Prague, from Porto to Dublin, from Prague to Athens, from Athens to Mykonos, from Dublin to Athens, from Tallinn to Dublin, from Vilnius to Athens, from Porto to Lyon, from Berlin to Athens, from Prague to Dublin.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Lyon.\n**Day 3-7:** Visit Lyon for 5 days.\n**Day 7:** Fly from Lyon to Prague.\n**Day 7-9:** Visit Prague for 3 days.\n**Day 9:** Fly from Prague to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Berlin.\n**Day 15-19:** Visit Berlin for 5 days.\n**Day 19:** Fly from Berlin to Dublin.\n**Day 19-21:** Visit Dublin for 3 days.\n**Day 21:** Fly from Dublin to Athens.\n**Day 21-25:** Visit Athens for 5 days.\n**Day 25:** Fly from Athens to Mykonos.\n**Day 25-28:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1280",
    "estimated_output_tokens": 6242,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Prague, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Dublin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 11 - 15.\n* City: Athens, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n* City: Porto, Duration: 3 days.\n* City: Berlin, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Dublin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Mykonos, Porto, Berlin, Tallinn, Lyon, Dublin] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 11 - 15).\n |- The departure day of Prague is Day 3. The arrival day of Vilnius is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Berlin, Tallinn, Lyon, Dublin] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 11 - 15).\n   |- The departure day of Tallinn is Day 5. The arrival day of Vilnius is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Berlin, Lyon, Dublin] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Tallinn to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 11 - 15).\n     |- The departure day of Berlin is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Tallinn, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Lyon, Dublin] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 15).\n       |- The departure day of Dublin is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, Tallinn, Berlin, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dublin to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Tallinn to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 11 - 15).\n     |- The departure day of Dublin is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Tallinn, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Berlin, Lyon] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dublin to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dublin to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 11 - 15).\n   |- The departure day of Dublin is Day 5. The arrival day of Vilnius is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Dublin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Berlin, Tallinn, Lyon] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dublin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dublin to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dublin to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 11 - 15).\n |- The departure day of Mykonos is Day 4. The arrival day of Vilnius is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Porto, Berlin, Tallinn, Lyon, Dublin] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Dublin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 11 - 15).\n |- The departure day of Porto is Day 3. The arrival day of Vilnius is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Berlin, Tallinn, Lyon, Dublin] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Porto to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 11 - 15).\n   |- The departure day of Berlin is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Tallinn, Lyon, Dublin] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Berlin to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Berlin to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Dublin is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Berlin, Dublin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Tallinn, Lyon] and explore these options in order.\n       |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dublin to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Dublin to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dublin to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Dublin to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 11 - 15).\n   |- The departure day of Lyon is Day 7. The arrival day of Vilnius is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Lyon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Berlin, Tallinn, Dublin] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Lyon to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 11 - 15).\n     |- The departure day of Prague is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Lyon, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Tallinn, Dublin] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 15).\n       |- The departure day of Tallinn is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Lyon, Prague, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Athens (Day 21 - 25).\n         |- The departure day of Vilnius is Day 15. The arrival day of Athens is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Lyon, Prague, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Berlin, Dublin] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Vilnius to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Vilnius to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Athens (Day 21 - 25).\n           |- The departure day of Berlin is Day 19. The arrival day of Athens is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Lyon, Prague, Tallinn, Vilnius, Berlin].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Dublin] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Berlin to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dublin from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Berlin to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Athens (Day 21 - 25).\n             |- The departure day of Dublin is Day 21. The arrival day of Athens is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Porto, Lyon, Prague, Tallinn, Vilnius, Berlin, Dublin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Athens.\n               |- Try arranging to visit Athens from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Dublin to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Porto, Lyon, Prague, Tallinn, Vilnius, Berlin, Dublin, Athens].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Athens to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Porto, Lyon, Prague, Tallinn, Vilnius, Berlin, Dublin, Athens, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Lyon.\n**Day 3-7:** Visit Lyon for 5 days.\n**Day 7:** Fly from Lyon to Prague.\n**Day 7-9:** Visit Prague for 3 days.\n**Day 9:** Fly from Prague to Tallinn.\n**Day 9-11:** Visit Tallinn for 3 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-15:** Visit Vilnius for 5 days.\n**Day 15:** Fly from Vilnius to Berlin.\n**Day 15-19:** Visit Berlin for 5 days.\n**Day 19:** Fly from Berlin to Dublin.\n**Day 19-21:** Visit Dublin for 3 days.\n**Day 21:** Fly from Dublin to Athens.\n**Day 21-25:** Visit Athens for 5 days.\n**Day 25:** Fly from Athens to Mykonos.\n**Day 25-28:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**London**Barcelona**Florence**Amsterdam**Mykonos**Zurich**Istanbul**Copenhagen",
    "ground_truth_durations": "5**3**2**3**4**3**3**2**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Zurich",
        "Istanbul"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Milan",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 3 days. You plan to stay in Istanbul for 2 days. From day 17 to day 18, there is a annual show you want to attend in Istanbul. You would like to visit Florence for 3 days. You want to meet a friend in Florence between day 8 and day 10. You would like to visit London for 3 days. You plan to visit relatives in London between day 5 and day 7. You plan to stay in Milan for 5 days. During day 1 and day 5, you have to attend a conference in Milan. You plan to stay in Amsterdam for 4 days. You would like to visit Copenhagen for 3 days. You want to spend 2 days in Barcelona. You want to spend 3 days in Mykonos.\n\nHere are the cities that have direct flights:\nBarcelona and Copenhagen, Milan and Amsterdam, London and Zurich, Amsterdam and Copenhagen, Barcelona and Amsterdam, Barcelona and Florence, London and Istanbul, Zurich and Copenhagen, Milan and Barcelona, Amsterdam and Mykonos, from Zurich to Florence, London and Barcelona, Mykonos and Zurich, Barcelona and Zurich, Florence and Amsterdam, Istanbul and Copenhagen, Amsterdam and Istanbul, London and Amsterdam, London and Florence, London and Copenhagen, London and Mykonos, Zurich and Istanbul, Milan and Copenhagen, Barcelona and Istanbul, Milan and Istanbul, Milan and London, Amsterdam and Zurich, Milan and Mykonos, Milan and Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 3 days. You plan to stay in Istanbul for 2 days. From day 17 to day 18, there is a annual show you want to attend in Istanbul. You would like to visit Florence for 3 days. You want to meet a friend in Florence between day 8 and day 10. You would like to visit London for 3 days. You plan to visit relatives in London between day 5 and day 7. You plan to stay in Milan for 5 days. During day 1 and day 5, you have to attend a conference in Milan. You plan to stay in Amsterdam for 4 days. You would like to visit Copenhagen for 3 days. You want to spend 2 days in Barcelona. You want to spend 3 days in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Copenhagen, from Milan to Amsterdam, from London to Zurich, from Amsterdam to Copenhagen, from Barcelona to Amsterdam, from Barcelona to Florence, from London to Istanbul, from Zurich to Copenhagen, from Milan to Barcelona, from Amsterdam to Mykonos, from Zurich to Florence, from London to Barcelona, from Mykonos to Zurich, from Barcelona to Zurich, from Florence to Amsterdam, from Istanbul to Copenhagen, from Amsterdam to Istanbul, from London to Amsterdam, from London to Florence, from London to Copenhagen, from London to Mykonos, from Zurich to Istanbul, from Milan to Copenhagen, from Barcelona to Istanbul, from Milan to Istanbul, from Milan to London, from Amsterdam to Zurich, from Milan to Mykonos, from Milan to Zurich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-10:** Visit Florence for 3 days.\n**Day 10:** Fly from Florence to Amsterdam.\n**Day 10-13:** Visit Amsterdam for 4 days.\n**Day 13:** Fly from Amsterdam to Mykonos.\n**Day 13-15:** Visit Mykonos for 3 days.\n**Day 15:** Fly from Mykonos to Zurich.\n**Day 15-17:** Visit Zurich for 3 days.\n**Day 17:** Fly from Zurich to Istanbul.\n**Day 17-18:** Visit Istanbul for 2 days.\n**Day 18:** Fly from Istanbul to Copenhagen.\n**Day 18-20:** Visit Copenhagen for 3 days.",
    "id": "trip_planning_example_1281",
    "estimated_output_tokens": 3473,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: London, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 5 - 7.\n* City: Florence, Fixed Schedule: Day 8 - 10.\n* City: Istanbul, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 7).\n |- The departure day of Milan is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Milan to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 10).\n   |- The departure day of London is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Amsterdam, Copenhagen, Barcelona, Mykonos] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 10).\n     |- The departure day of Zurich is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from London to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 10).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 10).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from London to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 10).\n     |- The departure day of Barcelona is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, London, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 17 - 18).\n       |- The departure day of Florence is Day 10. The arrival day of Istanbul is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Milan, London, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Amsterdam, Copenhagen, Mykonos] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Florence to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Florence to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 17 - 18).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Istanbul is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Milan, London, Barcelona, Florence, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Copenhagen, Mykonos] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Amsterdam to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 17 - 18).\n           |- The departure day of Zurich is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Zurich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Mykonos] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Zurich to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 18).\n             |- The departure day of Copenhagen is Day 17. The arrival day of Istanbul is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Zurich, Copenhagen].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Copenhagen to Istanbul.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Zurich to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Amsterdam to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 17 - 18).\n           |- The departure day of Copenhagen is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Copenhagen].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Mykonos] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Copenhagen to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Copenhagen to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Amsterdam to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 17 - 18).\n           |- The departure day of Mykonos is Day 15. The arrival day of Istanbul is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Mykonos].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Copenhagen] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Mykonos to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Istanbul (Day 17 - 18).\n             |- The departure day of Zurich is Day 17. The arrival day of Istanbul is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Mykonos, Zurich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Zurich to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Mykonos, Zurich, Istanbul].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n                 |- Try arranging to visit Copenhagen from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Istanbul to Copenhagen.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Milan, London, Barcelona, Florence, Amsterdam, Mykonos, Zurich, Istanbul, Copenhagen].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Milan and visit Milan for 5 days.\n**Day 5:** Fly from Milan to London.\n**Day 5-7:** Visit London for 3 days.\n**Day 7:** Fly from London to Barcelona.\n**Day 7-8:** Visit Barcelona for 2 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-10:** Visit Florence for 3 days.\n**Day 10:** Fly from Florence to Amsterdam.\n**Day 10-13:** Visit Amsterdam for 4 days.\n**Day 13:** Fly from Amsterdam to Mykonos.\n**Day 13-15:** Visit Mykonos for 3 days.\n**Day 15:** Fly from Mykonos to Zurich.\n**Day 15-17:** Visit Zurich for 3 days.\n**Day 17:** Fly from Zurich to Istanbul.\n**Day 17-18:** Visit Istanbul for 2 days.\n**Day 18:** Fly from Istanbul to Copenhagen.\n**Day 18-20:** Visit Copenhagen for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Venice**Hamburg**Stockholm**Reykjavik**Madrid**Manchester**Amsterdam**Dublin",
    "ground_truth_durations": "5**3**2**3**3**4**5**3**4",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Manchester",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Manchester",
        "Amsterdam"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 21 and day 24. You plan to stay in Amsterdam for 3 days. You would like to meet your friends at Amsterdam between day 19 and day 21 to tour together. You plan to stay in Reykjavik for 3 days. You plan to stay in Venice for 3 days. You are going to attend a wedding in Venice between day 5 and day 7. You would like to visit Manchester for 5 days. You want to meet a friend in Manchester between day 15 and day 19. You plan to stay in Santorini for 5 days. You want to spend 4 days in Madrid. You plan to stay in Stockholm for 3 days. You want to spend 2 days in Hamburg.\n\nHere are the cities that have direct flights:\nHamburg and Manchester, Santorini and Manchester, Manchester and Dublin, Reykjavik and Amsterdam, Stockholm and Reykjavik, Venice and Dublin, Stockholm and Manchester, Madrid and Dublin, Hamburg and Dublin, Santorini and Dublin, Santorini and Venice, Reykjavik and Dublin, Hamburg and Madrid, from Reykjavik to Madrid, Santorini and Amsterdam, Venice and Amsterdam, Amsterdam and Dublin, Stockholm and Madrid, Hamburg and Amsterdam, Venice and Madrid, from Stockholm to Santorini, Madrid and Manchester, Stockholm and Dublin, Hamburg and Stockholm, Santorini and Madrid, Venice and Hamburg, Madrid and Amsterdam, Manchester and Amsterdam, Venice and Manchester, Stockholm and Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. You plan to visit relatives in Dublin between day 21 and day 24. You plan to stay in Amsterdam for 3 days. You would like to meet your friends at Amsterdam between day 19 and day 21 to tour together. You plan to stay in Reykjavik for 3 days. You plan to stay in Venice for 3 days. You are going to attend a wedding in Venice between day 5 and day 7. You would like to visit Manchester for 5 days. You want to meet a friend in Manchester between day 15 and day 19. You plan to stay in Santorini for 5 days. You want to spend 4 days in Madrid. You plan to stay in Stockholm for 3 days. You want to spend 2 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Manchester, from Santorini to Manchester, from Manchester to Dublin, from Reykjavik to Amsterdam, from Stockholm to Reykjavik, from Venice to Dublin, from Stockholm to Manchester, from Madrid to Dublin, from Hamburg to Dublin, from Santorini to Dublin, from Santorini to Venice, from Reykjavik to Dublin, from Hamburg to Madrid, from Reykjavik to Madrid, from Santorini to Amsterdam, from Venice to Amsterdam, from Amsterdam to Dublin, from Stockholm to Madrid, from Hamburg to Amsterdam, from Venice to Madrid, from Stockholm to Santorini, from Madrid to Manchester, from Stockholm to Dublin, from Hamburg to Stockholm, from Santorini to Madrid, from Venice to Hamburg, from Madrid to Amsterdam, from Manchester to Amsterdam, from Venice to Manchester, from Stockholm to Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Amsterdam.\n**Day 19-21:** Visit Amsterdam for 3 days.\n**Day 21:** Fly from Amsterdam to Dublin.\n**Day 21-24:** Visit Dublin for 4 days.",
    "id": "trip_planning_example_1282",
    "estimated_output_tokens": 3634,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Reykjavik, Duration: 3 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Santorini, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 5 - 7.\n* City: Manchester, Fixed Schedule: Day 15 - 19.\n* City: Amsterdam, Fixed Schedule: Day 19 - 21.\n* City: Dublin, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Madrid, Stockholm, Hamburg] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 7).\n |- The departure day of Reykjavik is Day 3. The arrival day of Venice is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Madrid, Stockholm, Hamburg] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 5 - 7).\n   |- The departure day of Madrid is Day 6. The arrival day of Venice is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 7).\n |- The departure day of Santorini is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 15 - 19).\n   |- The departure day of Venice is Day 7. The arrival day of Manchester is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Madrid, Stockholm, Hamburg] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 15 - 19).\n     |- The departure day of Madrid is Day 10. The arrival day of Manchester is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Hamburg] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Madrid to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Madrid to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 15 - 19).\n     |- The departure day of Hamburg is Day 8. The arrival day of Manchester is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Venice, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Madrid, Stockholm] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Hamburg to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Hamburg to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 15 - 19).\n       |- The departure day of Madrid is Day 11. The arrival day of Manchester is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Venice, Hamburg, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Hamburg to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 15 - 19).\n       |- The departure day of Stockholm is Day 10. The arrival day of Manchester is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Venice, Hamburg, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Madrid] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 15 - 19).\n         |- The departure day of Reykjavik is Day 12. The arrival day of Manchester is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Venice, Hamburg, Stockholm, Reykjavik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Reykjavik to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 15 - 19).\n           |- The departure day of Madrid is Day 15. The arrival day of Manchester is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Venice, Hamburg, Stockholm, Reykjavik, Madrid].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Manchester.\n             |- Try arranging to visit Manchester from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Madrid to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 19 - 21).\n             |- The departure day of Manchester is Day 19. The arrival day of Amsterdam is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Santorini, Venice, Hamburg, Stockholm, Reykjavik, Madrid, Manchester].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Manchester to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dublin (Day 21 - 24).\n               |- The departure day of Amsterdam is Day 21. The arrival day of Dublin is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Santorini, Venice, Hamburg, Stockholm, Reykjavik, Madrid, Manchester, Amsterdam].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Amsterdam to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Santorini, Venice, Hamburg, Stockholm, Reykjavik, Madrid, Manchester, Amsterdam, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Venice.\n**Day 5-7:** Visit Venice for 3 days.\n**Day 7:** Fly from Venice to Hamburg.\n**Day 7-8:** Visit Hamburg for 2 days.\n**Day 8:** Fly from Hamburg to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Madrid.\n**Day 12-15:** Visit Madrid for 4 days.\n**Day 15:** Fly from Madrid to Manchester.\n**Day 15-19:** Visit Manchester for 5 days.\n**Day 19:** Fly from Manchester to Amsterdam.\n**Day 19-21:** Visit Amsterdam for 3 days.\n**Day 21:** Fly from Amsterdam to Dublin.\n**Day 21-24:** Visit Dublin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Amsterdam**Porto**Hamburg**Milan**Vilnius**Munich**Naples**Mykonos",
    "ground_truth_durations": "2**4**4**5**3**3**5**4**3",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 20,
        "end_day": 23
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Naples"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Amsterdam",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 2 and day 5. You want to spend 5 days in Hamburg. You would like to visit Milan for 3 days. You would like to visit Mykonos for 3 days. You plan to stay in Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 14 and day 16. You plan to stay in Lyon for 2 days. You plan to stay in Porto for 4 days. During day 5 and day 8, you have to attend a conference in Porto. You plan to stay in Naples for 4 days. You plan to visit relatives in Naples between day 20 and day 23.\n\nHere are the cities that have direct flights:\nMunich and Naples, Amsterdam and Vilnius, Lyon and Munich, Milan and Mykonos, Lyon and Amsterdam, Lyon and Porto, Porto and Hamburg, Hamburg and Milan, Porto and Munich, Porto and Milan, Hamburg and Munich, Milan and Naples, Amsterdam and Munich, Amsterdam and Mykonos, from Vilnius to Munich, Amsterdam and Milan, Amsterdam and Hamburg, Naples and Mykonos, Munich and Mykonos, Amsterdam and Porto, Milan and Vilnius, Milan and Munich, Amsterdam and Naples.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 5 days. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 2 and day 5. You want to spend 5 days in Hamburg. You would like to visit Milan for 3 days. You would like to visit Mykonos for 3 days. You plan to stay in Vilnius for 3 days. You are going to attend a wedding in Vilnius between day 14 and day 16. You plan to stay in Lyon for 2 days. You plan to stay in Porto for 4 days. During day 5 and day 8, you have to attend a conference in Porto. You plan to stay in Naples for 4 days. You plan to visit relatives in Naples between day 20 and day 23.\n\nHere are the cities that have direct flights:\nfrom Munich to Naples, from Amsterdam to Vilnius, from Lyon to Munich, from Milan to Mykonos, from Lyon to Amsterdam, from Lyon to Porto, from Porto to Hamburg, from Hamburg to Milan, from Porto to Munich, from Porto to Milan, from Hamburg to Munich, from Milan to Naples, from Amsterdam to Munich, from Amsterdam to Mykonos, from Vilnius to Munich, from Amsterdam to Milan, from Amsterdam to Hamburg, from Naples to Mykonos, from Munich to Mykonos, from Amsterdam to Porto, from Milan to Vilnius, from Milan to Munich, from Amsterdam to Naples.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Hamburg.\n**Day 8-12:** Visit Hamburg for 5 days.\n**Day 12:** Fly from Hamburg to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Vilnius.\n**Day 14-16:** Visit Vilnius for 3 days.\n**Day 16:** Fly from Vilnius to Munich.\n**Day 16-20:** Visit Munich for 5 days.\n**Day 20:** Fly from Munich to Naples.\n**Day 20-23:** Visit Naples for 4 days.\n**Day 23:** Fly from Naples to Mykonos.\n**Day 23-25:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1283",
    "estimated_output_tokens": 3425,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Hamburg, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Lyon, Duration: 2 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 2 - 5.\n* City: Porto, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Fixed Schedule: Day 14 - 16.\n* City: Naples, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Hamburg, Milan, Mykonos, Lyon] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Munich is Day 5. The arrival day of Amsterdam is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Hamburg is Day 5. The arrival day of Amsterdam is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Milan is Day 3. The arrival day of Amsterdam is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Mykonos is Day 3. The arrival day of Amsterdam is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Lyon is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 5 - 8).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Porto is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 14 - 16).\n     |- The departure day of Porto is Day 8. The arrival day of Vilnius is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Amsterdam, Porto].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Hamburg, Milan, Mykonos] and explore these options in order.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Porto to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 14 - 16).\n       |- The departure day of Munich is Day 12. The arrival day of Vilnius is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Amsterdam, Porto, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Milan, Mykonos] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 14 - 16).\n         |- The departure day of Mykonos is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Amsterdam, Porto, Munich, Mykonos].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Mykonos to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Porto to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 14 - 16).\n       |- The departure day of Hamburg is Day 12. The arrival day of Vilnius is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Amsterdam, Porto, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Milan, Mykonos] and explore these options in order.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 14 - 16).\n         |- The departure day of Munich is Day 16. The arrival day of Vilnius is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 14 - 16).\n         |- The departure day of Milan is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Amsterdam, Porto, Hamburg, Milan].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Milan to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Naples (Day 20 - 23).\n           |- The departure day of Vilnius is Day 16. The arrival day of Naples is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Amsterdam, Porto, Hamburg, Milan, Vilnius].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n             |- Try arranging to visit Munich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Vilnius to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 20 - 23).\n             |- The departure day of Munich is Day 20. The arrival day of Naples is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lyon, Amsterdam, Porto, Hamburg, Milan, Vilnius, Munich].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Naples.\n               |- Try arranging to visit Naples from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Munich to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Lyon, Amsterdam, Porto, Hamburg, Milan, Vilnius, Munich, Naples].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Naples to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Lyon, Amsterdam, Porto, Hamburg, Milan, Vilnius, Munich, Naples, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Porto.\n**Day 5-8:** Visit Porto for 4 days.\n**Day 8:** Fly from Porto to Hamburg.\n**Day 8-12:** Visit Hamburg for 5 days.\n**Day 12:** Fly from Hamburg to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Vilnius.\n**Day 14-16:** Visit Vilnius for 3 days.\n**Day 16:** Fly from Vilnius to Munich.\n**Day 16-20:** Visit Munich for 5 days.\n**Day 20:** Fly from Munich to Naples.\n**Day 20-23:** Visit Naples for 4 days.\n**Day 23:** Fly from Naples to Mykonos.\n**Day 23-25:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Lisbon**Istanbul**Salzburg**Frankfurt**Lyon**Dublin**Dubrovnik**Manchester",
    "ground_truth_durations": "3**2**2**2**4**2**2**2**5",
    "num_cities": 9,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Istanbul",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Florence. You want to spend 2 days in Salzburg. You want to spend 2 days in Istanbul. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together. You want to spend 2 days in Dublin. You want to spend 2 days in Lyon. You plan to stay in Manchester for 5 days. You would like to visit Lisbon for 2 days. You plan to stay in Dubrovnik for 2 days. You plan to visit relatives in Dubrovnik between day 11 and day 12. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nLisbon and Dublin, Lisbon and Istanbul, Frankfurt and Lyon, Lisbon and Frankfurt, Dubrovnik and Manchester, Frankfurt and Dubrovnik, Istanbul and Manchester, Istanbul and Salzburg, Florence and Lisbon, from Dubrovnik to Istanbul, Dublin and Manchester, Istanbul and Frankfurt, Florence and Frankfurt, Lisbon and Manchester, Frankfurt and Dublin, Lyon and Dublin, Frankfurt and Manchester, Lisbon and Lyon, Dublin and Dubrovnik, Salzburg and Frankfurt, Istanbul and Dublin, Istanbul and Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Florence. You want to spend 2 days in Salzburg. You want to spend 2 days in Istanbul. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together. You want to spend 2 days in Dublin. You want to spend 2 days in Lyon. You plan to stay in Manchester for 5 days. You would like to visit Lisbon for 2 days. You plan to stay in Dubrovnik for 2 days. You plan to visit relatives in Dubrovnik between day 11 and day 12. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Dublin, from Lisbon to Istanbul, from Frankfurt to Lyon, from Lisbon to Frankfurt, from Dubrovnik to Manchester, from Frankfurt to Dubrovnik, from Istanbul to Manchester, from Istanbul to Salzburg, from Florence to Lisbon, from Dubrovnik to Istanbul, from Dublin to Manchester, from Istanbul to Frankfurt, from Florence to Frankfurt, from Lisbon to Manchester, from Frankfurt to Dublin, from Lyon to Dublin, from Frankfurt to Manchester, from Lisbon to Lyon, from Dublin to Dubrovnik, from Salzburg to Frankfurt, from Istanbul to Dublin, from Istanbul to Lyon.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 16 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Salzburg.\n**Day 5-6:** Visit Salzburg for 2 days.\n**Day 6:** Fly from Salzburg to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Dublin.\n**Day 10-11:** Visit Dublin for 2 days.\n**Day 11:** Fly from Dublin to Dubrovnik.\n**Day 11-12:** Visit Dubrovnik for 2 days.\n**Day 12:** Fly from Dubrovnik to Manchester.\n**Day 12-16:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_1284",
    "estimated_output_tokens": 2980,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Dublin, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Florence, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Dublin, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Salzburg, Dublin, Lyon, Manchester, Lisbon, Frankfurt] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Florence is Day 3. The arrival day of Istanbul is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Dublin, Lyon, Manchester, Lisbon, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 4 - 5).\n   |- The departure day of Lisbon is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lisbon to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 11 - 12).\n     |- The departure day of Istanbul is Day 5. The arrival day of Dubrovnik is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Florence, Lisbon, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Dublin, Lyon, Manchester, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Istanbul to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 11 - 12).\n       |- The departure day of Salzburg is Day 6. The arrival day of Dubrovnik is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Florence, Lisbon, Istanbul, Salzburg].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Lyon, Manchester, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Salzburg to Dublin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n         |- Check for direct flight from Salzburg to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Salzburg to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Salzburg to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 11 - 12).\n         |- The departure day of Frankfurt is Day 9. The arrival day of Dubrovnik is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Lyon, Manchester] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Frankfurt to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 11 - 12).\n           |- The departure day of Dublin is Day 10. The arrival day of Dubrovnik is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt, Dublin].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n             |- Check for direct flight from Dublin to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n             |- Check for direct flight from Dublin to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 11 - 12).\n             |- The departure day of Manchester is Day 14. The arrival day of Dubrovnik is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n             |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 11 - 12).\n           |- The departure day of Lyon is Day 10. The arrival day of Dubrovnik is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt, Lyon].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dublin, Manchester] and explore these options in order.\n             |- Try arranging to visit Dublin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n             |- Check for direct flight from Lyon to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 11 - 12).\n             |- The departure day of Dublin is Day 11. The arrival day of Dubrovnik is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt, Lyon, Dublin].\n              |- Check whether the city with an arrival day of Day 11 - is fixed.\n              |- Yes. The city with an arrival day of Day 11 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n               |- Check for direct flight from Dublin to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 12. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt, Lyon, Dublin, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 12 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n                 |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n                 |- Check for direct flight from Dubrovnik to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 16. Current plan: [Florence, Lisbon, Istanbul, Salzburg, Frankfurt, Lyon, Dublin, Dubrovnik, Manchester].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Salzburg.\n**Day 5-6:** Visit Salzburg for 2 days.\n**Day 6:** Fly from Salzburg to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Lyon.\n**Day 9-10:** Visit Lyon for 2 days.\n**Day 10:** Fly from Lyon to Dublin.\n**Day 10-11:** Visit Dublin for 2 days.\n**Day 11:** Fly from Dublin to Dubrovnik.\n**Day 11-12:** Visit Dubrovnik for 2 days.\n**Day 12:** Fly from Dubrovnik to Manchester.\n**Day 12-16:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Barcelona**Florence**Madrid**Santorini**Oslo**Riga**Frankfurt**Stuttgart",
    "ground_truth_durations": "4**5**2**3**2**4**3**5**4",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Florence",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You plan to stay in Barcelona for 5 days. You want to meet a friend in Barcelona between day 4 and day 8. You plan to stay in Florence for 2 days. You plan to stay in Madrid for 3 days. You would like to visit Riga for 3 days. During day 15 and day 17, you have to attend a conference in Riga. You would like to visit Oslo for 4 days. You plan to stay in Frankfurt for 5 days. You plan to visit relatives in Frankfurt between day 17 and day 21. You would like to visit Munich for 4 days. You are going to attend a wedding in Munich between day 1 and day 4. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nMadrid and Santorini, Florence and Frankfurt, Munich and Madrid, Oslo and Riga, Madrid and Oslo, Barcelona and Frankfurt, Munich and Oslo, Munich and Frankfurt, from Riga to Munich, Munich and Barcelona, Oslo and Frankfurt, Madrid and Frankfurt, Barcelona and Florence, Riga and Frankfurt, from Florence to Munich, Barcelona and Santorini, Barcelona and Stuttgart, Barcelona and Madrid, from Santorini to Oslo, Barcelona and Oslo, Frankfurt and Stuttgart, Barcelona and Riga, Florence and Madrid.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Stuttgart. You plan to stay in Barcelona for 5 days. You want to meet a friend in Barcelona between day 4 and day 8. You plan to stay in Florence for 2 days. You plan to stay in Madrid for 3 days. You would like to visit Riga for 3 days. During day 15 and day 17, you have to attend a conference in Riga. You would like to visit Oslo for 4 days. You plan to stay in Frankfurt for 5 days. You plan to visit relatives in Frankfurt between day 17 and day 21. You would like to visit Munich for 4 days. You are going to attend a wedding in Munich between day 1 and day 4. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Santorini, from Florence to Frankfurt, from Munich to Madrid, from Oslo to Riga, from Madrid to Oslo, from Barcelona to Frankfurt, from Munich to Oslo, from Munich to Frankfurt, from Riga to Munich, from Munich to Barcelona, from Oslo to Frankfurt, from Madrid to Frankfurt, from Barcelona to Florence, from Riga to Frankfurt, from Florence to Munich, from Barcelona to Santorini, from Barcelona to Stuttgart, from Barcelona to Madrid, from Santorini to Oslo, from Barcelona to Oslo, from Frankfurt to Stuttgart, from Barcelona to Riga, from Florence to Madrid.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Barcelona.\n**Day 4-8:** Visit Barcelona for 5 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.\n**Day 21:** Fly from Frankfurt to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1285",
    "estimated_output_tokens": 3141,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 4 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Florence, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Oslo, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Fixed Schedule: Day 4 - 8.\n* City: Riga, Fixed Schedule: Day 15 - 17.\n* City: Frankfurt, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: Florence, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 4 - 8).\n |- The departure day of Munich is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Munich to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 15 - 17).\n   |- The departure day of Barcelona is Day 8. The arrival day of Riga is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Munich, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Florence, Madrid, Oslo, Santorini] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Barcelona to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 15 - 17).\n     |- The departure day of Stuttgart is Day 11. The arrival day of Riga is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Munich, Barcelona, Stuttgart].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Madrid, Oslo, Santorini] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Stuttgart to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Stuttgart to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Barcelona to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 15 - 17).\n     |- The departure day of Florence is Day 9. The arrival day of Riga is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Munich, Barcelona, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Madrid, Oslo, Santorini] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 15 - 17).\n       |- The departure day of Madrid is Day 11. The arrival day of Riga is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Barcelona, Florence, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Oslo, Santorini] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Madrid to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Madrid to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 17).\n         |- The departure day of Oslo is Day 14. The arrival day of Riga is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Munich, Barcelona, Florence, Madrid, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Santorini] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Oslo to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Oslo to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Madrid to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 17).\n         |- The departure day of Santorini is Day 12. The arrival day of Riga is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Barcelona, Florence, Madrid, Santorini].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Oslo] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Santorini to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Santorini to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 15 - 17).\n           |- The departure day of Oslo is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Barcelona, Florence, Madrid, Santorini, Oslo].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Oslo to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 17 - 21).\n             |- The departure day of Riga is Day 17. The arrival day of Frankfurt is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Munich, Barcelona, Florence, Madrid, Santorini, Oslo, Riga].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Riga to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Munich, Barcelona, Florence, Madrid, Santorini, Oslo, Riga, Frankfurt].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Frankfurt to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Munich, Barcelona, Florence, Madrid, Santorini, Oslo, Riga, Frankfurt, Stuttgart].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Munich and visit Munich for 4 days.\n**Day 4:** Fly from Munich to Barcelona.\n**Day 4-8:** Visit Barcelona for 5 days.\n**Day 8:** Fly from Barcelona to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Oslo.\n**Day 12-15:** Visit Oslo for 4 days.\n**Day 15:** Fly from Oslo to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Frankfurt.\n**Day 17-21:** Visit Frankfurt for 5 days.\n**Day 21:** Fly from Frankfurt to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Paris**Reykjavik**Barcelona**Dubrovnik**Oslo**Lyon**Istanbul**Stuttgart",
    "ground_truth_durations": "3**2**2**4**4**3**5**4**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 3 days in Oslo. From day 11 to day 13, there is a annual show you want to attend in Oslo. You want to spend 3 days in Tallinn. You would like to visit Dubrovnik for 4 days. You have to attend a workshop in Dubrovnik between day 8 and day 11. You want to spend 4 days in Istanbul. You plan to stay in Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 20 and day 21. You want to spend 4 days in Barcelona. You want to spend 2 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 4 and day 5. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Lyon, Barcelona and Stuttgart, Lyon and Istanbul, Tallinn and Barcelona, from Istanbul to Tallinn, Paris and Oslo, Tallinn and Oslo, from Dubrovnik to Istanbul, Barcelona and Lyon, Paris and Reykjavik, Reykjavik and Barcelona, Barcelona and Dubrovnik, Oslo and Istanbul, Barcelona and Istanbul, Barcelona and Oslo, from Reykjavik to Stuttgart, Istanbul and Stuttgart, Paris and Stuttgart, Dubrovnik and Oslo, Paris and Istanbul, Tallinn and Paris, Paris and Lyon, Paris and Barcelona, Reykjavik and Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 3 days in Oslo. From day 11 to day 13, there is a annual show you want to attend in Oslo. You want to spend 3 days in Tallinn. You would like to visit Dubrovnik for 4 days. You have to attend a workshop in Dubrovnik between day 8 and day 11. You want to spend 4 days in Istanbul. You plan to stay in Stuttgart for 2 days. You plan to visit relatives in Stuttgart between day 20 and day 21. You want to spend 4 days in Barcelona. You want to spend 2 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 4 and day 5. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Lyon, from Barcelona to Stuttgart, from Lyon to Istanbul, from Tallinn to Barcelona, from Istanbul to Tallinn, from Paris to Oslo, from Tallinn to Oslo, from Dubrovnik to Istanbul, from Barcelona to Lyon, from Paris to Reykjavik, from Reykjavik to Barcelona, from Barcelona to Dubrovnik, from Oslo to Istanbul, from Barcelona to Istanbul, from Barcelona to Oslo, from Reykjavik to Stuttgart, from Istanbul to Stuttgart, from Paris to Stuttgart, from Dubrovnik to Oslo, from Paris to Istanbul, from Tallinn to Paris, from Paris to Lyon, from Paris to Barcelona, from Reykjavik to Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Istanbul.\n**Day 17-20:** Visit Istanbul for 4 days.\n**Day 20:** Fly from Istanbul to Stuttgart.\n**Day 20-21:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_1286",
    "estimated_output_tokens": 3298,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Tallinn, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Istanbul, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Barcelona, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Lyon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 4 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 8 - 11.\n* City: Oslo, Fixed Schedule: Day 11 - 13.\n* City: Stuttgart, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Istanbul, Duration: 4 days.\n* City: Barcelona, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Tallinn, Istanbul, Barcelona, Lyon] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 5).\n |- The departure day of Paris is Day 2. The arrival day of Reykjavik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul, Barcelona, Lyon] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Paris to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 5).\n   |- The departure day of Istanbul is Day 5. The arrival day of Reykjavik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 5).\n   |- The departure day of Barcelona is Day 5. The arrival day of Reykjavik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 5).\n   |- The departure day of Lyon is Day 6. The arrival day of Reykjavik is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 5).\n |- The departure day of Tallinn is Day 3. The arrival day of Reykjavik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Istanbul, Barcelona, Lyon] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Tallinn to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 5).\n   |- The departure day of Paris is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 8 - 11).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Dubrovnik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Barcelona, Lyon] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Reykjavik to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 11).\n       |- The departure day of Barcelona is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Paris, Reykjavik, Barcelona].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Barcelona to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 11 - 13).\n         |- The departure day of Dubrovnik is Day 11. The arrival day of Oslo is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Dubrovnik to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 20 - 21).\n           |- The departure day of Oslo is Day 13. The arrival day of Stuttgart is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik, Oslo].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Lyon] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Oslo to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 20 - 21).\n             |- The departure day of Istanbul is Day 16. The arrival day of Stuttgart is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik, Oslo, Istanbul].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Istanbul to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Oslo to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 20 - 21).\n             |- The departure day of Lyon is Day 17. The arrival day of Stuttgart is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik, Oslo, Lyon].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Lyon to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 20 - 21).\n               |- The departure day of Istanbul is Day 20. The arrival day of Stuttgart is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik, Oslo, Lyon, Istanbul].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Stuttgart.\n                 |- Try arranging to visit Stuttgart from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Istanbul to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Tallinn, Paris, Reykjavik, Barcelona, Dubrovnik, Oslo, Lyon, Istanbul, Stuttgart].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Reykjavik.\n**Day 4-5:** Visit Reykjavik for 2 days.\n**Day 5:** Fly from Reykjavik to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Dubrovnik.\n**Day 8-11:** Visit Dubrovnik for 4 days.\n**Day 11:** Fly from Dubrovnik to Oslo.\n**Day 11-13:** Visit Oslo for 3 days.\n**Day 13:** Fly from Oslo to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Istanbul.\n**Day 17-20:** Visit Istanbul for 4 days.\n**Day 20:** Fly from Istanbul to Stuttgart.\n**Day 20-21:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Prague**Edinburgh**Seville**Amsterdam**Bucharest**Lyon**Split**Dublin",
    "ground_truth_durations": "2**4**4**4**3**5**4**3**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 2,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Seville",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 5 days. You would like to visit Amsterdam for 3 days. You would like to visit Barcelona for 2 days. You have to attend a workshop in Barcelona between day 1 and day 2. You would like to visit Edinburgh for 4 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 20 and day 22. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 22 and day 25 to tour together. You want to spend 4 days in Seville. You plan to stay in Lyon for 4 days. You would like to visit Prague for 4 days. You plan to visit relatives in Prague between day 2 and day 5.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Barcelona and Prague, Barcelona and Edinburgh, Amsterdam and Lyon, Bucharest and Lyon, Barcelona and Seville, Split and Dublin, Prague and Amsterdam, Edinburgh and Seville, Prague and Edinburgh, Amsterdam and Split, Lyon and Dublin, Amsterdam and Dublin, Barcelona and Split, Amsterdam and Bucharest, Prague and Dublin, Barcelona and Lyon, Seville and Amsterdam, Barcelona and Bucharest, Prague and Bucharest, Lyon and Split, Prague and Split, Seville and Dublin, Edinburgh and Amsterdam, Bucharest and Dublin, Barcelona and Amsterdam, Barcelona and Dublin, Edinburgh and Dublin.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 5 days. You would like to visit Amsterdam for 3 days. You would like to visit Barcelona for 2 days. You have to attend a workshop in Barcelona between day 1 and day 2. You would like to visit Edinburgh for 4 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 20 and day 22. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 22 and day 25 to tour together. You want to spend 4 days in Seville. You plan to stay in Lyon for 4 days. You would like to visit Prague for 4 days. You plan to visit relatives in Prague between day 2 and day 5.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Barcelona to Prague, from Barcelona to Edinburgh, from Amsterdam to Lyon, from Bucharest to Lyon, from Barcelona to Seville, from Split to Dublin, from Prague to Amsterdam, from Edinburgh to Seville, from Prague to Edinburgh, from Amsterdam to Split, from Lyon to Dublin, from Amsterdam to Dublin, from Barcelona to Split, from Amsterdam to Bucharest, from Prague to Dublin, from Barcelona to Lyon, from Seville to Amsterdam, from Barcelona to Bucharest, from Prague to Bucharest, from Lyon to Split, from Prague to Split, from Seville to Dublin, from Edinburgh to Amsterdam, from Bucharest to Dublin, from Barcelona to Amsterdam, from Barcelona to Dublin, from Edinburgh to Dublin.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Seville.\n**Day 8-11:** Visit Seville for 4 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-13:** Visit Amsterdam for 3 days.\n**Day 13:** Fly from Amsterdam to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.\n**Day 20:** Fly from Lyon to Split.\n**Day 20-22:** Visit Split for 3 days.\n**Day 22:** Fly from Split to Dublin.\n**Day 22-25:** Visit Dublin for 4 days.",
    "id": "trip_planning_example_1287",
    "estimated_output_tokens": 5500,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Edinburgh, Duration: 4 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Seville, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Prague, Fixed Schedule: Day 2 - 5.\n* City: Split, Fixed Schedule: Day 20 - 22.\n* City: Dublin, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 5).\n |- The departure day of Barcelona is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Barcelona to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Split (Day 20 - 22).\n   |- The departure day of Prague is Day 5. The arrival day of Split is Day 20. Day 5 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Barcelona, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Edinburgh, Seville, Lyon] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 20 - 22).\n     |- The departure day of Bucharest is Day 9. The arrival day of Split is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Barcelona, Prague, Bucharest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Edinburgh, Seville, Lyon] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Bucharest to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Bucharest to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Bucharest to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 20 - 22).\n       |- The departure day of Lyon is Day 12. The arrival day of Split is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Barcelona, Prague, Bucharest, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Edinburgh, Seville] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Lyon to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Lyon to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Lyon to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 20 - 22).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Split is Day 20. Day 7 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Prague, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Edinburgh, Seville, Lyon] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Amsterdam to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 20 - 22).\n       |- The departure day of Bucharest is Day 11. The arrival day of Split is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Barcelona, Prague, Amsterdam, Bucharest].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville, Lyon] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Bucharest to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Bucharest to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Bucharest to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 20 - 22).\n         |- The departure day of Lyon is Day 14. The arrival day of Split is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Barcelona, Prague, Amsterdam, Bucharest, Lyon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Seville] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Lyon to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Lyon to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 20 - 22).\n       |- The departure day of Lyon is Day 10. The arrival day of Split is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Prague, Amsterdam, Lyon].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Edinburgh, Seville] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Lyon to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Lyon to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Lyon to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 20 - 22).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Split is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Prague, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Seville, Lyon] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Edinburgh to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Edinburgh to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 20 - 22).\n       |- The departure day of Amsterdam is Day 10. The arrival day of Split is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Prague, Edinburgh, Amsterdam].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville, Lyon] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Amsterdam to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 20 - 22).\n         |- The departure day of Bucharest is Day 14. The arrival day of Split is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Barcelona, Prague, Edinburgh, Amsterdam, Bucharest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Lyon] and explore these options in order.\n           |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Bucharest to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 20 - 22).\n           |- The departure day of Lyon is Day 17. The arrival day of Split is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Barcelona, Prague, Edinburgh, Amsterdam, Bucharest, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Amsterdam to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Amsterdam to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 20 - 22).\n         |- The departure day of Lyon is Day 13. The arrival day of Split is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Barcelona, Prague, Edinburgh, Amsterdam, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Seville] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Lyon to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 20 - 22).\n       |- The departure day of Seville is Day 11. The arrival day of Split is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Barcelona, Prague, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Lyon] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Seville to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Seville to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 20 - 22).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Split is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Barcelona, Prague, Edinburgh, Seville, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Amsterdam to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 20 - 22).\n           |- The departure day of Bucharest is Day 17. The arrival day of Split is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Barcelona, Prague, Edinburgh, Seville, Amsterdam, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 20 - 22).\n             |- The departure day of Lyon is Day 20. The arrival day of Split is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Barcelona, Prague, Edinburgh, Seville, Amsterdam, Bucharest, Lyon].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Split.\n               |- Try arranging to visit Split from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Lyon to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Dublin (Day 22 - 25).\n               |- The departure day of Split is Day 22. The arrival day of Dublin is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Barcelona, Prague, Edinburgh, Seville, Amsterdam, Bucharest, Lyon, Split].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Split to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Barcelona, Prague, Edinburgh, Seville, Amsterdam, Bucharest, Lyon, Split, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-8:** Visit Edinburgh for 4 days.\n**Day 8:** Fly from Edinburgh to Seville.\n**Day 8-11:** Visit Seville for 4 days.\n**Day 11:** Fly from Seville to Amsterdam.\n**Day 11-13:** Visit Amsterdam for 3 days.\n**Day 13:** Fly from Amsterdam to Bucharest.\n**Day 13-17:** Visit Bucharest for 5 days.\n**Day 17:** Fly from Bucharest to Lyon.\n**Day 17-20:** Visit Lyon for 4 days.\n**Day 20:** Fly from Lyon to Split.\n**Day 20-22:** Visit Split for 3 days.\n**Day 22:** Fly from Split to Dublin.\n**Day 22-25:** Visit Dublin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Dubrovnik**Manchester**Riga**Nice**Budapest**Bucharest**Warsaw**Split",
    "ground_truth_durations": "5**2**3**3**5**3**3**4**3",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Manchester",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You plan to stay in Split for 3 days. You plan to visit relatives in Split between day 21 and day 23. You would like to visit Dubrovnik for 2 days. You are going to attend a wedding in Dubrovnik between day 5 and day 6. You want to spend 5 days in Nice. You want to spend 4 days in Warsaw. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 8 and day 10. You want to spend 3 days in Bucharest. During day 16 and day 18, you have to attend a conference in Bucharest. You want to spend 3 days in Budapest. You plan to stay in Madrid for 5 days.\n\nHere are the cities that have direct flights:\nRiga and Warsaw, Madrid and Manchester, Riga and Bucharest, Manchester and Budapest, Manchester and Warsaw, Madrid and Bucharest, Bucharest and Warsaw, Warsaw and Split, Madrid and Nice, Riga and Nice, Nice and Budapest, Madrid and Dubrovnik, Budapest and Bucharest, Madrid and Split, Madrid and Budapest, Budapest and Warsaw, Madrid and Warsaw, Nice and Warsaw, Dubrovnik and Manchester, Manchester and Nice, from Manchester to Split, Manchester and Riga, Manchester and Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 3 days. You plan to stay in Split for 3 days. You plan to visit relatives in Split between day 21 and day 23. You would like to visit Dubrovnik for 2 days. You are going to attend a wedding in Dubrovnik between day 5 and day 6. You want to spend 5 days in Nice. You want to spend 4 days in Warsaw. You want to spend 3 days in Riga. You have to attend a workshop in Riga between day 8 and day 10. You want to spend 3 days in Bucharest. During day 16 and day 18, you have to attend a conference in Bucharest. You want to spend 3 days in Budapest. You plan to stay in Madrid for 5 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Warsaw, from Madrid to Manchester, from Riga to Bucharest, from Manchester to Budapest, from Manchester to Warsaw, from Madrid to Bucharest, from Bucharest to Warsaw, from Warsaw to Split, from Madrid to Nice, from Riga to Nice, from Nice to Budapest, from Madrid to Dubrovnik, from Budapest to Bucharest, from Madrid to Split, from Madrid to Budapest, from Budapest to Warsaw, from Madrid to Warsaw, from Nice to Warsaw, from Dubrovnik to Manchester, from Manchester to Nice, from Manchester to Split, from Manchester to Riga, from Manchester to Bucharest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Manchester.\n**Day 6-8:** Visit Manchester for 3 days.\n**Day 8:** Fly from Manchester to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Nice.\n**Day 10-14:** Visit Nice for 5 days.\n**Day 14:** Fly from Nice to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Warsaw.\n**Day 18-21:** Visit Warsaw for 4 days.\n**Day 21:** Fly from Warsaw to Split.\n**Day 21-23:** Visit Split for 3 days.",
    "id": "trip_planning_example_1288",
    "estimated_output_tokens": 4292,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Nice, Duration: 5 days.\n* City: Warsaw, Duration: 4 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Budapest, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 5 - 6.\n* City: Riga, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Fixed Schedule: Day 16 - 18.\n* City: Split, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Manchester, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Warsaw, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Nice, Warsaw, Budapest, Madrid] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 6).\n |- The departure day of Manchester is Day 3. The arrival day of Dubrovnik is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Budapest, Madrid] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 5 - 6).\n   |- The departure day of Nice is Day 7. The arrival day of Dubrovnik is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 5 - 6).\n   |- The departure day of Warsaw is Day 6. The arrival day of Dubrovnik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 5 - 6).\n   |- The departure day of Budapest is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Budapest to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 6).\n |- The departure day of Nice is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 6).\n |- The departure day of Warsaw is Day 4. The arrival day of Dubrovnik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Nice, Budapest, Madrid] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Warsaw to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Warsaw to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 6).\n |- The departure day of Budapest is Day 3. The arrival day of Dubrovnik is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Nice, Warsaw, Madrid] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 5 - 6).\n   |- The departure day of Warsaw is Day 6. The arrival day of Dubrovnik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 5 - 6).\n |- The departure day of Madrid is Day 5. The arrival day of Dubrovnik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Madrid to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 8 - 10).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Riga is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Nice, Warsaw, Budapest] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dubrovnik to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 8 - 10).\n     |- The departure day of Manchester is Day 8. The arrival day of Riga is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Dubrovnik, Manchester].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Manchester to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 16 - 18).\n       |- The departure day of Riga is Day 10. The arrival day of Bucharest is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Madrid, Dubrovnik, Manchester, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Budapest] and explore these options in order.\n         |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Riga to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 16 - 18).\n         |- The departure day of Nice is Day 14. The arrival day of Bucharest is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Dubrovnik, Manchester, Riga, Nice].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Budapest] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Nice to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 16 - 18).\n           |- The departure day of Warsaw is Day 17. The arrival day of Bucharest is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Budapest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Nice to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 16 - 18).\n           |- The departure day of Budapest is Day 16. The arrival day of Bucharest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Dubrovnik, Manchester, Riga, Nice, Budapest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Budapest to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Split (Day 21 - 23).\n             |- The departure day of Bucharest is Day 18. The arrival day of Split is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Madrid, Dubrovnik, Manchester, Riga, Nice, Budapest, Bucharest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Bucharest to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Split (Day 21 - 23).\n               |- The departure day of Warsaw is Day 21. The arrival day of Split is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Madrid, Dubrovnik, Manchester, Riga, Nice, Budapest, Bucharest, Warsaw].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Split.\n                 |- Try arranging to visit Split from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Warsaw to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Madrid, Dubrovnik, Manchester, Riga, Nice, Budapest, Bucharest, Warsaw, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Dubrovnik.\n**Day 5-6:** Visit Dubrovnik for 2 days.\n**Day 6:** Fly from Dubrovnik to Manchester.\n**Day 6-8:** Visit Manchester for 3 days.\n**Day 8:** Fly from Manchester to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Nice.\n**Day 10-14:** Visit Nice for 5 days.\n**Day 14:** Fly from Nice to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Warsaw.\n**Day 18-21:** Visit Warsaw for 4 days.\n**Day 21:** Fly from Warsaw to Split.\n**Day 21-23:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Zurich**Lisbon**Munich**Valencia**Athens**Stuttgart**Barcelona**Reykjavik",
    "ground_truth_durations": "5**4**3**2**4**4**5**3**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Zurich",
        "Munich"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Valencia",
        "Barcelona"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Santorini",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 17 and day 21 to tour together. You want to spend 3 days in Lisbon. You have to attend a workshop in Lisbon between day 8 and day 10. You would like to visit Reykjavik for 4 days. You would like to visit Zurich for 4 days. You want to spend 2 days in Munich. You plan to stay in Valencia for 4 days. You are going to attend a wedding in Valencia between day 11 and day 14. You plan to stay in Barcelona for 3 days. You plan to stay in Santorini for 5 days. You plan to visit relatives in Santorini between day 1 and day 5. You want to spend 4 days in Athens.\n\nHere are the cities that have direct flights:\nZurich and Reykjavik, Zurich and Barcelona, Lisbon and Munich, Stuttgart and Barcelona, Athens and Stuttgart, Athens and Barcelona, Santorini and Zurich, Lisbon and Reykjavik, Lisbon and Barcelona, Munich and Barcelona, Zurich and Valencia, from Valencia to Athens, Munich and Reykjavik, Zurich and Lisbon, from Reykjavik to Athens, Zurich and Munich, Santorini and Athens, Zurich and Athens, Lisbon and Valencia, from Reykjavik to Stuttgart, Lisbon and Stuttgart, Barcelona and Reykjavik, Munich and Athens, Valencia and Stuttgart, Lisbon and Athens, Valencia and Barcelona, Munich and Valencia, Santorini and Barcelona.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Stuttgart for 5 days. You would like to meet your friends at Stuttgart between day 17 and day 21 to tour together. You want to spend 3 days in Lisbon. You have to attend a workshop in Lisbon between day 8 and day 10. You would like to visit Reykjavik for 4 days. You would like to visit Zurich for 4 days. You want to spend 2 days in Munich. You plan to stay in Valencia for 4 days. You are going to attend a wedding in Valencia between day 11 and day 14. You plan to stay in Barcelona for 3 days. You plan to stay in Santorini for 5 days. You plan to visit relatives in Santorini between day 1 and day 5. You want to spend 4 days in Athens.\n\nHere are the cities that have direct flights:\nfrom Zurich to Reykjavik, from Zurich to Barcelona, from Lisbon to Munich, from Stuttgart to Barcelona, from Athens to Stuttgart, from Athens to Barcelona, from Santorini to Zurich, from Lisbon to Reykjavik, from Lisbon to Barcelona, from Munich to Barcelona, from Zurich to Valencia, from Valencia to Athens, from Munich to Reykjavik, from Zurich to Lisbon, from Reykjavik to Athens, from Zurich to Munich, from Santorini to Athens, from Zurich to Athens, from Lisbon to Valencia, from Reykjavik to Stuttgart, from Lisbon to Stuttgart, from Barcelona to Reykjavik, from Munich to Athens, from Valencia to Stuttgart, from Lisbon to Athens, from Valencia to Barcelona, from Munich to Valencia, from Santorini to Barcelona.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Munich.\n**Day 10-11:** Visit Munich for 2 days.\n**Day 11:** Fly from Munich to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.\n**Day 21:** Fly from Stuttgart to Barcelona.\n**Day 21-23:** Visit Barcelona for 3 days.\n**Day 23:** Fly from Barcelona to Reykjavik.\n**Day 23-26:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1289",
    "estimated_output_tokens": 2902,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Reykjavik, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n* City: Munich, Duration: 2 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Barcelona, Duration: 3 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Athens, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Fixed Schedule: Day 8 - 10.\n* City: Valencia, Fixed Schedule: Day 11 - 14.\n* City: Stuttgart, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n* City: Munich, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 8 - 10).\n |- The departure day of Santorini is Day 5. The arrival day of Lisbon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Zurich, Munich, Barcelona, Athens] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 10).\n   |- The departure day of Zurich is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Santorini, Zurich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Zurich to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 11 - 14).\n     |- The departure day of Lisbon is Day 10. The arrival day of Valencia is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Zurich, Lisbon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Munich, Barcelona, Athens] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 11 - 14).\n       |- The departure day of Reykjavik is Day 13. The arrival day of Valencia is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Lisbon to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 11 - 14).\n       |- The departure day of Munich is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Santorini, Zurich, Lisbon, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Munich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 17 - 21).\n         |- The departure day of Valencia is Day 14. The arrival day of Stuttgart is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Barcelona, Athens] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Valencia to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 17 - 21).\n           |- The departure day of Barcelona is Day 16. The arrival day of Stuttgart is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Athens] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Barcelona to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 17 - 21).\n             |- The departure day of Reykjavik is Day 19. The arrival day of Stuttgart is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Athens from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Barcelona to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Valencia to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 17 - 21).\n           |- The departure day of Athens is Day 17. The arrival day of Stuttgart is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Athens to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia, Athens, Stuttgart].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Barcelona] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Stuttgart to Reykjavik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Barcelona from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Stuttgart to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia, Athens, Stuttgart, Barcelona].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Barcelona to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Santorini, Zurich, Lisbon, Munich, Valencia, Athens, Stuttgart, Barcelona, Reykjavik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Munich.\n**Day 10-11:** Visit Munich for 2 days.\n**Day 11:** Fly from Munich to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.\n**Day 21:** Fly from Stuttgart to Barcelona.\n**Day 21-23:** Visit Barcelona for 3 days.\n**Day 23:** Fly from Barcelona to Reykjavik.\n**Day 23-26:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Tallinn**Zurich**Florence**Prague**Krakow**Vilnius**Athens**Mykonos",
    "ground_truth_durations": "4**2**4**4**4**3**3**5**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Athens",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. You plan to stay in Athens for 5 days. You would like to visit Zurich for 4 days. You want to spend 4 days in Florence. You plan to visit relatives in Florence between day 8 and day 11. You want to spend 2 days in Tallinn. You plan to stay in Prague for 4 days. You want to spend 4 days in Mykonos. You want to spend 3 days in Vilnius. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, Tallinn and Prague, Riga and Prague, Florence and Prague, Zurich and Prague, Riga and Zurich, Prague and Athens, Zurich and Mykonos, Prague and Krakow, Vilnius and Athens, from Tallinn to Vilnius, from Athens to Riga, Zurich and Athens, Zurich and Vilnius, from Riga to Tallinn, from Krakow to Vilnius, Zurich and Krakow, from Zurich to Florence, Tallinn and Zurich, Athens and Mykonos.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Krakow for 3 days. You plan to stay in Athens for 5 days. You would like to visit Zurich for 4 days. You want to spend 4 days in Florence. You plan to visit relatives in Florence between day 8 and day 11. You want to spend 2 days in Tallinn. You plan to stay in Prague for 4 days. You want to spend 4 days in Mykonos. You want to spend 3 days in Vilnius. You would like to visit Riga for 4 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, from Tallinn to Prague, from Riga to Prague, from Florence to Prague, from Zurich to Prague, from Riga to Zurich, from Prague to Athens, from Zurich to Mykonos, from Prague to Krakow, from Vilnius to Athens, from Tallinn to Vilnius, from Athens to Riga, from Zurich to Athens, from Zurich to Vilnius, from Riga to Tallinn, from Krakow to Vilnius, from Zurich to Krakow, from Zurich to Florence, from Tallinn to Zurich, from Athens to Mykonos.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Tallinn.\n**Day 4-5:** Visit Tallinn for 2 days.\n**Day 5:** Fly from Tallinn to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Athens.\n**Day 18-22:** Visit Athens for 5 days.\n**Day 22:** Fly from Athens to Mykonos.\n**Day 22-25:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1290",
    "estimated_output_tokens": 15936,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days.\n* City: Athens, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Tallinn, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Athens, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Tallinn, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Krakow is Day 3. The arrival day of Florence is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Zurich, Tallinn, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Krakow to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 8 - 11).\n   |- The departure day of Vilnius is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Zurich, Tallinn, Prague, Mykonos, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vilnius to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Athens is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Zurich, Tallinn, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Athens to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n   |- The departure day of Mykonos is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Mykonos].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Mykonos to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n   |- The departure day of Riga is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Athens, Riga].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Riga to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Zurich is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Tallinn, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Krakow is Day 6. The arrival day of Florence is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Tallinn, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Krakow to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Krakow to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 8 - 11).\n     |- The departure day of Vilnius is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vilnius to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Athens is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Zurich to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Prague is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Prague].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Tallinn, Mykonos, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Krakow is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Prague to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 11. The arrival day of Florence is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Prague to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Prague to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Mykonos is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Zurich, Mykonos].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Tallinn, Prague, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Mykonos to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Mykonos to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Mykonos to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Mykonos to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Mykonos to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Mykonos to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Florence is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Tallinn, Prague, Mykonos, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vilnius to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Tallinn is Day 2. The arrival day of Florence is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 8 - 11).\n   |- The departure day of Zurich is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Zurich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Krakow is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Zurich, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Prague, Mykonos, Vilnius, Riga] and explore these options in order.\n       |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Krakow to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n       |- The departure day of Vilnius is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Zurich to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Prague is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Zurich, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Prague to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Mykonos is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Zurich, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Mykonos to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Zurich to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Vilnius is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Zurich, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Prague, Mykonos, Riga] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vilnius to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n       |- The departure day of Athens is Day 11. The arrival day of Florence is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 8 - 11).\n   |- The departure day of Prague is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Mykonos, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Krakow is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Tallinn, Prague, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Zurich, Mykonos, Vilnius, Riga] and explore these options in order.\n       |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Krakow to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Krakow to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n       |- The departure day of Vilnius is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Prague to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 8 - 11).\n   |- The departure day of Vilnius is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Prague, Mykonos, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Vilnius to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vilnius to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Vilnius, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Prague is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Tallinn, Mykonos, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Krakow is Day 6. The arrival day of Florence is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Zurich, Tallinn, Mykonos, Vilnius, Riga] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Krakow to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Krakow to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Florence (Day 8 - 11).\n     |- The departure day of Vilnius is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vilnius to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Athens is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Prague, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Prague to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Prague to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Mykonos is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Tallinn, Prague, Vilnius, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Mykonos to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Mykonos to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Vilnius is Day 3. The arrival day of Florence is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Tallinn, Prague, Mykonos, Riga] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 8 - 11).\n   |- The departure day of Athens is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Zurich, Tallinn, Prague, Mykonos, Riga] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Athens to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Athens to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Mykonos is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Riga is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 8 - 11).\n |- The departure day of Riga is Day 4. The arrival day of Florence is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Tallinn, Prague, Mykonos, Vilnius] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Riga to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Zurich is Day 7. The arrival day of Florence is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Tallinn, Prague, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Krakow is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Zurich to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Athens is Day 11. The arrival day of Florence is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Prague is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Mykonos is Day 10. The arrival day of Florence is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 8 - 11).\n     |- The departure day of Vilnius is Day 9. The arrival day of Florence is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Riga to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 8 - 11).\n   |- The departure day of Tallinn is Day 5. The arrival day of Florence is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Zurich, Prague, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Tallinn to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 11).\n     |- The departure day of Zurich is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Tallinn, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Riga, Tallinn, Zurich, Florence].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Prague, Mykonos, Vilnius] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Florence to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Florence to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Florence to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Tallinn, Zurich, Florence, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Athens, Mykonos, Vilnius] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Riga, Tallinn, Zurich, Florence, Prague, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos, Vilnius] and explore these options in order.\n             |- Try arranging to visit Athens from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Krakow to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Krakow to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Krakow to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Riga, Tallinn, Zurich, Florence, Prague, Krakow, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Athens, Mykonos] and explore these options in order.\n               |- Try arranging to visit Athens from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Vilnius to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Riga, Tallinn, Zurich, Florence, Prague, Krakow, Vilnius, Athens].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Athens to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Riga, Tallinn, Zurich, Florence, Prague, Krakow, Vilnius, Athens, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Riga and visit Riga for 4 days.\n**Day 4:** Fly from Riga to Tallinn.\n**Day 4-5:** Visit Tallinn for 2 days.\n**Day 5:** Fly from Tallinn to Zurich.\n**Day 5-8:** Visit Zurich for 4 days.\n**Day 8:** Fly from Zurich to Florence.\n**Day 8-11:** Visit Florence for 4 days.\n**Day 11:** Fly from Florence to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Athens.\n**Day 18-22:** Visit Athens for 5 days.\n**Day 22:** Fly from Athens to Mykonos.\n**Day 22-25:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Seville**Milan**Vilnius**Split**Warsaw**Tallinn**Helsinki**Dubrovnik",
    "ground_truth_durations": "4**3**4**5**3**2**2**4**3",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Milan",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. You would like to visit Vilnius for 5 days. You plan to stay in Split for 3 days. During day 13 and day 15, you have to attend a conference in Split. You want to spend 2 days in Warsaw. You want to spend 3 days in Dubrovnik. You plan to stay in Madrid for 4 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 4 and day 6. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Milan.\n\nHere are the cities that have direct flights:\nMadrid and Helsinki, Seville and Milan, Madrid and Milan, Milan and Warsaw, Vilnius and Split, Tallinn and Helsinki, Milan and Vilnius, Warsaw and Tallinn, Vilnius and Helsinki, Madrid and Split, Helsinki and Dubrovnik, from Tallinn to Vilnius, Madrid and Warsaw, Milan and Split, Vilnius and Warsaw, Split and Helsinki, Madrid and Seville, Warsaw and Helsinki, Madrid and Dubrovnik, Split and Warsaw, Milan and Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 4 days. You would like to visit Vilnius for 5 days. You plan to stay in Split for 3 days. During day 13 and day 15, you have to attend a conference in Split. You want to spend 2 days in Warsaw. You want to spend 3 days in Dubrovnik. You plan to stay in Madrid for 4 days. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 4 and day 6. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Madrid to Helsinki, from Seville to Milan, from Madrid to Milan, from Milan to Warsaw, from Vilnius to Split, from Tallinn to Helsinki, from Milan to Vilnius, from Warsaw to Tallinn, from Vilnius to Helsinki, from Madrid to Split, from Helsinki to Dubrovnik, from Tallinn to Vilnius, from Madrid to Warsaw, from Milan to Split, from Vilnius to Warsaw, from Split to Helsinki, from Madrid to Seville, from Warsaw to Helsinki, from Madrid to Dubrovnik, from Split to Warsaw, from Milan to Helsinki.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-6:** Visit Seville for 3 days.\n**Day 6:** Fly from Seville to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Warsaw.\n**Day 15-16:** Visit Warsaw for 2 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-17:** Visit Tallinn for 2 days.\n**Day 17:** Fly from Tallinn to Helsinki.\n**Day 17-20:** Visit Helsinki for 4 days.\n**Day 20:** Fly from Helsinki to Dubrovnik.\n**Day 20-22:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1291",
    "estimated_output_tokens": 6041,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Warsaw, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Tallinn, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 4 - 6.\n* City: Split, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 4 days.\n* City: Vilnius, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Warsaw, Dubrovnik, Madrid, Tallinn, Milan] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 6).\n |- The departure day of Helsinki is Day 4. The arrival day of Seville is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 6).\n |- The departure day of Vilnius is Day 5. The arrival day of Seville is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 6).\n |- The departure day of Warsaw is Day 2. The arrival day of Seville is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Dubrovnik, Madrid, Tallinn, Milan] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 4 - 6).\n   |- The departure day of Helsinki is Day 5. The arrival day of Seville is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 4 - 6).\n   |- The departure day of Tallinn is Day 3. The arrival day of Seville is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Warsaw, Tallinn].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Dubrovnik, Madrid, Milan] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Tallinn to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 4 - 6).\n     |- The departure day of Helsinki is Day 6. The arrival day of Seville is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Tallinn to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 4 - 6).\n     |- The departure day of Vilnius is Day 7. The arrival day of Seville is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Tallinn to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Tallinn to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Tallinn to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 6).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Seville is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Warsaw, Madrid, Tallinn, Milan] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 6).\n |- The departure day of Madrid is Day 4. The arrival day of Seville is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Madrid to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 13 - 15).\n   |- The departure day of Seville is Day 6. The arrival day of Split is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Warsaw, Dubrovnik, Tallinn, Milan] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Seville to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 13 - 15).\n     |- The departure day of Milan is Day 9. The arrival day of Split is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Seville, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius, Warsaw, Dubrovnik, Tallinn] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Milan to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 15).\n       |- The departure day of Helsinki is Day 12. The arrival day of Split is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Seville, Milan, Helsinki].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Warsaw, Dubrovnik, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Helsinki to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 13 - 15).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Split is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Helsinki to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Milan to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 13 - 15).\n       |- The departure day of Vilnius is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Seville, Milan, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n         |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Madrid, Seville, Milan, Vilnius, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Warsaw, Dubrovnik, Tallinn] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Split to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Helsinki].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik, Tallinn] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Helsinki to Warsaw.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Helsinki to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Helsinki, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Dubrovnik to Warsaw.\n               |- No. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Dubrovnik to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Helsinki to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Split to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik, Tallinn] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Warsaw to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw, Helsinki].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Helsinki to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw, Helsinki, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Dubrovnik to Tallinn.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Helsinki to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Warsaw to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Tallinn to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw, Tallinn, Helsinki].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Helsinki to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Madrid, Seville, Milan, Vilnius, Split, Warsaw, Tallinn, Helsinki, Dubrovnik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Madrid and visit Madrid for 4 days.\n**Day 4:** Fly from Madrid to Seville.\n**Day 4-6:** Visit Seville for 3 days.\n**Day 6:** Fly from Seville to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Warsaw.\n**Day 15-16:** Visit Warsaw for 2 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-17:** Visit Tallinn for 2 days.\n**Day 17:** Fly from Tallinn to Helsinki.\n**Day 17-20:** Visit Helsinki for 4 days.\n**Day 20:** Fly from Helsinki to Dubrovnik.\n**Day 20-22:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Paris**Budapest**Hamburg**Munich**Dubrovnik**Athens**Milan**London",
    "ground_truth_durations": "5**5**5**2**4**4**2**4**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 24,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "London"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Athens",
        "London"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Budapest",
        "London"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Paris",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 2 days. You are going to attend a wedding in Athens between day 20 and day 21. You want to spend 4 days in Milan. You want to spend 5 days in Budapest. You want to spend 5 days in Florence. You plan to stay in Munich for 4 days. You plan to stay in Paris for 5 days. You want to spend 2 days in Hamburg. During day 13 and day 14, you have to attend a conference in Hamburg. You want to spend 2 days in London. You have to attend a workshop in London between day 24 and day 25. You would like to visit Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nMunich and London, from Florence to Munich, Budapest and Milan, Munich and Milan, Florence and Paris, Hamburg and London, Hamburg and Milan, Hamburg and Munich, Paris and Athens, Paris and London, Athens and Milan, Paris and Hamburg, Budapest and Munich, Munich and Dubrovnik, Athens and London, Paris and Milan, Budapest and London, Budapest and Hamburg, Florence and London, Milan and London, Dubrovnik and Athens, Hamburg and Athens, Munich and Athens, Paris and Budapest, Paris and Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 2 days. You are going to attend a wedding in Athens between day 20 and day 21. You want to spend 4 days in Milan. You want to spend 5 days in Budapest. You want to spend 5 days in Florence. You plan to stay in Munich for 4 days. You plan to stay in Paris for 5 days. You want to spend 2 days in Hamburg. During day 13 and day 14, you have to attend a conference in Hamburg. You want to spend 2 days in London. You have to attend a workshop in London between day 24 and day 25. You would like to visit Dubrovnik for 4 days.\n\nHere are the cities that have direct flights:\nfrom Munich to London, from Florence to Munich, from Budapest to Milan, from Munich to Milan, from Florence to Paris, from Hamburg to London, from Hamburg to Milan, from Hamburg to Munich, from Paris to Athens, from Paris to London, from Athens to Milan, from Paris to Hamburg, from Budapest to Munich, from Munich to Dubrovnik, from Athens to London, from Paris to Milan, from Budapest to London, from Budapest to Hamburg, from Florence to London, from Milan to London, from Dubrovnik to Athens, from Hamburg to Athens, from Munich to Athens, from Paris to Budapest, from Paris to Munich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Munich.\n**Day 14-17:** Visit Munich for 4 days.\n**Day 17:** Fly from Munich to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.\n**Day 20:** Fly from Dubrovnik to Athens.\n**Day 20-21:** Visit Athens for 2 days.\n**Day 21:** Fly from Athens to Milan.\n**Day 21-24:** Visit Milan for 4 days.\n**Day 24:** Fly from Milan to London.\n**Day 24-25:** Visit London for 2 days.",
    "id": "trip_planning_example_1292",
    "estimated_output_tokens": 6560,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Milan, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Munich, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: London, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n* City: Dubrovnik, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 13 - 14.\n* City: Athens, Fixed Schedule: Day 20 - 21.\n* City: London, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Munich, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Budapest, Florence, Munich, Paris, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 13 - 14).\n |- The departure day of Milan is Day 4. The arrival day of Hamburg is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Florence, Munich, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Milan to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Milan to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Milan to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 13 - 14).\n |- The departure day of Budapest is Day 5. The arrival day of Hamburg is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Florence, Munich, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 13 - 14).\n   |- The departure day of Milan is Day 8. The arrival day of Hamburg is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Budapest, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Munich, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Milan to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Milan to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 13 - 14).\n   |- The departure day of Munich is Day 8. The arrival day of Hamburg is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Budapest, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Florence, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 14).\n     |- The departure day of Milan is Day 11. The arrival day of Hamburg is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Munich, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Paris, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Milan to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 14).\n     |- The departure day of Dubrovnik is Day 11. The arrival day of Hamburg is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Florence, Paris] and explore these options in order.\n       |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Dubrovnik to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dubrovnik to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 13 - 14).\n |- The departure day of Florence is Day 5. The arrival day of Hamburg is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Budapest, Munich, Paris, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Florence to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 13 - 14).\n   |- The departure day of Munich is Day 8. The arrival day of Hamburg is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Budapest, Paris, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 14).\n     |- The departure day of Milan is Day 11. The arrival day of Hamburg is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Florence, Munich, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Paris, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Milan to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Milan to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Munich to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 14).\n     |- The departure day of Dubrovnik is Day 11. The arrival day of Hamburg is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Florence, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Budapest, Paris] and explore these options in order.\n       |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Dubrovnik to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dubrovnik to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 13 - 14).\n   |- The departure day of Paris is Day 9. The arrival day of Hamburg is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Budapest, Munich, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Paris to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 14).\n     |- The departure day of Milan is Day 12. The arrival day of Hamburg is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Florence, Paris, Milan].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Munich, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Milan to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Milan to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Paris to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 13 - 14).\n     |- The departure day of Budapest is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Paris, Budapest].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Budapest to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 20 - 21).\n       |- The departure day of Hamburg is Day 14. The arrival day of Athens is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Florence, Paris, Budapest, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Munich, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Hamburg to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 20 - 21).\n         |- The departure day of Milan is Day 17. The arrival day of Athens is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Florence, Paris, Budapest, Hamburg, Milan].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Munich from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Milan to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Milan to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Hamburg to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 20 - 21).\n         |- The departure day of Munich is Day 17. The arrival day of Athens is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Florence, Paris, Budapest, Hamburg, Munich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Milan from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Munich to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Athens (Day 20 - 21).\n           |- The departure day of Milan is Day 20. The arrival day of Athens is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Florence, Paris, Budapest, Hamburg, Munich, Milan].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Milan to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Munich to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Athens (Day 20 - 21).\n           |- The departure day of Dubrovnik is Day 20. The arrival day of Athens is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Florence, Paris, Budapest, Hamburg, Munich, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Dubrovnik to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: London (Day 24 - 25).\n             |- The departure day of Athens is Day 21. The arrival day of London is Day 24. Day 21 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Paris, Budapest, Hamburg, Munich, Dubrovnik, Athens].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n               |- Try arranging to visit Milan from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Athens to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: London (Day 24 - 25).\n               |- The departure day of Milan is Day 24. The arrival day of London is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Florence, Paris, Budapest, Hamburg, Munich, Dubrovnik, Athens, Milan].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: London.\n                 |- Try arranging to visit London from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Milan to London.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Florence, Paris, Budapest, Hamburg, Munich, Dubrovnik, Athens, Milan, London].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Munich.\n**Day 14-17:** Visit Munich for 4 days.\n**Day 17:** Fly from Munich to Dubrovnik.\n**Day 17-20:** Visit Dubrovnik for 4 days.\n**Day 20:** Fly from Dubrovnik to Athens.\n**Day 20-21:** Visit Athens for 2 days.\n**Day 21:** Fly from Athens to Milan.\n**Day 21-24:** Visit Milan for 4 days.\n**Day 24:** Fly from Milan to London.\n**Day 24-25:** Visit London for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Madrid**Budapest**Helsinki**Zurich**Bucharest**Lyon**Porto**Seville",
    "ground_truth_durations": "3**5**4**5**4**5**5**3**4",
    "num_cities": 9,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 25,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Brussels",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 5 days. You want to spend 5 days in Helsinki. You want to spend 5 days in Bucharest. You plan to stay in Brussels for 3 days. You have to attend a workshop in Brussels between day 1 and day 3. You plan to stay in Budapest for 4 days. You would like to meet your friends at Budapest between day 7 and day 10 to tour together. You plan to stay in Madrid for 5 days. You plan to visit relatives in Madrid between day 3 and day 7. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 25 and day 27. You want to spend 4 days in Seville. You would like to visit Zurich for 4 days.\n\nHere are the cities that have direct flights:\nBrussels and Madrid, Budapest and Bucharest, Madrid and Helsinki, Zurich and Porto, Madrid and Bucharest, Brussels and Zurich, Madrid and Lyon, Budapest and Zurich, Madrid and Porto, Helsinki and Zurich, Brussels and Porto, Budapest and Helsinki, Madrid and Zurich, Brussels and Helsinki, Madrid and Seville, Lyon and Porto, Madrid and Budapest, Brussels and Bucharest, Brussels and Lyon, Porto and Seville, Brussels and Budapest, Bucharest and Lyon, Zurich and Bucharest, Brussels and Seville.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 5 days. You want to spend 5 days in Helsinki. You want to spend 5 days in Bucharest. You plan to stay in Brussels for 3 days. You have to attend a workshop in Brussels between day 1 and day 3. You plan to stay in Budapest for 4 days. You would like to meet your friends at Budapest between day 7 and day 10 to tour together. You plan to stay in Madrid for 5 days. You plan to visit relatives in Madrid between day 3 and day 7. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 25 and day 27. You want to spend 4 days in Seville. You would like to visit Zurich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Madrid, from Budapest to Bucharest, from Madrid to Helsinki, from Zurich to Porto, from Madrid to Bucharest, from Brussels to Zurich, from Madrid to Lyon, from Budapest to Zurich, from Madrid to Porto, from Helsinki to Zurich, from Brussels to Porto, from Budapest to Helsinki, from Madrid to Zurich, from Brussels to Helsinki, from Madrid to Seville, from Lyon to Porto, from Madrid to Budapest, from Brussels to Bucharest, from Brussels to Lyon, from Porto to Seville, from Brussels to Budapest, from Bucharest to Lyon, from Zurich to Bucharest, from Brussels to Seville.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 30 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Budapest.\n**Day 7-10:** Visit Budapest for 4 days.\n**Day 10:** Fly from Budapest to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Zurich.\n**Day 14-17:** Visit Zurich for 4 days.\n**Day 17:** Fly from Zurich to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n**Day 25:** Fly from Lyon to Porto.\n**Day 25-27:** Visit Porto for 3 days.\n**Day 27:** Fly from Porto to Seville.\n**Day 27-30:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1293",
    "estimated_output_tokens": 2474,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 25 - 27.\n* City: Seville, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Madrid, Fixed Schedule: Day 3 - 7.\n* City: Budapest, Fixed Schedule: Day 7 - 10.\n* City: Porto, Fixed Schedule: Day 25 - 27.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 3 - 7).\n |- The departure day of Brussels is Day 3. The arrival day of Madrid is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 7 - 10).\n   |- The departure day of Madrid is Day 7. The arrival day of Budapest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Madrid to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 25 - 27).\n     |- The departure day of Budapest is Day 10. The arrival day of Porto is Day 25. Day 10 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Brussels, Madrid, Budapest].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Helsinki, Bucharest, Seville, Zurich] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Budapest to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Budapest to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 25 - 27).\n       |- The departure day of Helsinki is Day 14. The arrival day of Porto is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Brussels, Madrid, Budapest, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest, Seville, Zurich] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Helsinki to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Helsinki to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 25 - 27).\n         |- The departure day of Zurich is Day 17. The arrival day of Porto is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Brussels, Madrid, Budapest, Helsinki, Zurich].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest, Seville] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Zurich to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Zurich to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 25 - 27).\n           |- The departure day of Bucharest is Day 21. The arrival day of Porto is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Brussels, Madrid, Budapest, Helsinki, Zurich, Bucharest].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Seville] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Porto (Day 25 - 27).\n             |- The departure day of Lyon is Day 25. The arrival day of Porto is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Brussels, Madrid, Budapest, Helsinki, Zurich, Bucharest, Lyon].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n               |- Check for direct flight from Lyon to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Brussels, Madrid, Budapest, Helsinki, Zurich, Bucharest, Lyon, Porto].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n                 |- Check for direct flight from Porto to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Brussels, Madrid, Budapest, Helsinki, Zurich, Bucharest, Lyon, Porto, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Madrid.\n**Day 3-7:** Visit Madrid for 5 days.\n**Day 7:** Fly from Madrid to Budapest.\n**Day 7-10:** Visit Budapest for 4 days.\n**Day 10:** Fly from Budapest to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Zurich.\n**Day 14-17:** Visit Zurich for 4 days.\n**Day 17:** Fly from Zurich to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n**Day 25:** Fly from Lyon to Porto.\n**Day 25-27:** Visit Porto for 3 days.\n**Day 27:** Fly from Porto to Seville.\n**Day 27-30:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Amsterdam**Tallinn**Oslo**Split**Lyon**Bucharest**Santorini**Geneva",
    "ground_truth_durations": "4**3**2**3**5**2**3**2**5",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Santorini",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 5 days. You have to attend a workshop in Geneva between day 17 and day 21. You want to spend 2 days in Lyon. You plan to stay in Tallinn for 2 days. You plan to stay in Split for 5 days. You want to spend 4 days in Florence. You want to spend 3 days in Amsterdam. You plan to stay in Bucharest for 3 days. You would like to visit Oslo for 3 days. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nSantorini and Geneva, Amsterdam and Santorini, Tallinn and Oslo, Amsterdam and Split, Split and Lyon, Amsterdam and Geneva, Florence and Amsterdam, Oslo and Bucharest, Amsterdam and Tallinn, Amsterdam and Oslo, Oslo and Lyon, Bucharest and Santorini, Lyon and Bucharest, Oslo and Split, Split and Geneva, Amsterdam and Lyon, Amsterdam and Bucharest, Oslo and Geneva, from Santorini to Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 5 days. You have to attend a workshop in Geneva between day 17 and day 21. You want to spend 2 days in Lyon. You plan to stay in Tallinn for 2 days. You plan to stay in Split for 5 days. You want to spend 4 days in Florence. You want to spend 3 days in Amsterdam. You plan to stay in Bucharest for 3 days. You would like to visit Oslo for 3 days. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Santorini to Geneva, from Amsterdam to Santorini, from Tallinn to Oslo, from Amsterdam to Split, from Split to Lyon, from Amsterdam to Geneva, from Florence to Amsterdam, from Oslo to Bucharest, from Amsterdam to Tallinn, from Amsterdam to Oslo, from Oslo to Lyon, from Bucharest to Santorini, from Lyon to Bucharest, from Oslo to Split, from Split to Geneva, from Amsterdam to Lyon, from Amsterdam to Bucharest, from Oslo to Geneva, from Santorini to Oslo.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Split.\n**Day 9-13:** Visit Split for 5 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n**Day 17:** Fly from Santorini to Geneva.\n**Day 17-21:** Visit Geneva for 5 days.",
    "id": "trip_planning_example_1294",
    "estimated_output_tokens": 13559,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Split, Florence, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 17 - 21).\n |- The departure day of Lyon is Day 2. The arrival day of Geneva is Day 17. Day 2 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Florence, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Geneva (Day 17 - 21).\n   |- The departure day of Bucharest is Day 4. The arrival day of Geneva is Day 17. Day 4 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Florence, Amsterdam, Oslo, Santorini] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Bucharest to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Bucharest to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Bucharest to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 17 - 21).\n     |- The departure day of Santorini is Day 5. The arrival day of Geneva is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Lyon, Bucharest, Santorini].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Florence, Amsterdam, Oslo] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Santorini to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Santorini to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Santorini to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Santorini to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Santorini to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 17 - 21).\n       |- The departure day of Oslo is Day 7. The arrival day of Geneva is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Lyon, Bucharest, Santorini, Oslo].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Florence, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Oslo to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 17 - 21).\n         |- The departure day of Split is Day 11. The arrival day of Geneva is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Bucharest, Santorini, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Split to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Split to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Split to Amsterdam.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Oslo to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Oslo to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 17 - 21).\n |- The departure day of Tallinn is Day 2. The arrival day of Geneva is Day 17. Day 2 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Florence, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Tallinn to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Geneva (Day 17 - 21).\n   |- The departure day of Oslo is Day 4. The arrival day of Geneva is Day 17. Day 4 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Tallinn, Oslo].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Florence, Amsterdam, Bucharest, Santorini] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 17 - 21).\n     |- The departure day of Lyon is Day 5. The arrival day of Geneva is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Tallinn, Oslo, Lyon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Florence, Amsterdam, Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lyon to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Lyon to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Lyon to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Lyon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 17 - 21).\n       |- The departure day of Bucharest is Day 7. The arrival day of Geneva is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Tallinn, Oslo, Lyon, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Florence, Amsterdam, Santorini] and explore these options in order.\n         |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Bucharest to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Bucharest to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 17 - 21).\n         |- The departure day of Santorini is Day 8. The arrival day of Geneva is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Tallinn, Oslo, Lyon, Bucharest, Santorini].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Florence, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Santorini to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Santorini to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Santorini to Amsterdam.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lyon to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Oslo to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 17 - 21).\n     |- The departure day of Split is Day 8. The arrival day of Geneva is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Oslo, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Florence, Amsterdam, Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Split to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 17 - 21).\n       |- The departure day of Lyon is Day 9. The arrival day of Geneva is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Oslo, Split, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Amsterdam, Bucharest, Santorini] and explore these options in order.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lyon to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lyon to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lyon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 21).\n         |- The departure day of Bucharest is Day 11. The arrival day of Geneva is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Tallinn, Oslo, Split, Lyon, Bucharest].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Amsterdam, Santorini] and explore these options in order.\n           |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Bucharest to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Bucharest to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Bucharest to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Geneva (Day 17 - 21).\n           |- The departure day of Santorini is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Tallinn, Oslo, Split, Lyon, Bucharest, Santorini].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Amsterdam] and explore these options in order.\n             |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Santorini to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Santorini to Amsterdam.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lyon to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Split to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Split to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Split to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Split to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Oslo to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Oslo to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 17 - 21).\n     |- The departure day of Bucharest is Day 6. The arrival day of Geneva is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Tallinn, Oslo, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Florence, Amsterdam, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Bucharest to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Bucharest to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Bucharest to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 17 - 21).\n       |- The departure day of Santorini is Day 7. The arrival day of Geneva is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Tallinn, Oslo, Bucharest, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Florence, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Santorini to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Santorini to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Santorini to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Oslo to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 17 - 21).\n |- The departure day of Split is Day 5. The arrival day of Geneva is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Florence, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 17 - 21).\n   |- The departure day of Lyon is Day 6. The arrival day of Geneva is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lyon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lyon to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 17 - 21).\n     |- The departure day of Bucharest is Day 8. The arrival day of Geneva is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Lyon, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Amsterdam, Oslo, Santorini] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Bucharest to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Bucharest to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 17 - 21).\n       |- The departure day of Santorini is Day 9. The arrival day of Geneva is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Split, Lyon, Bucharest, Santorini].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Amsterdam, Oslo] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Santorini to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Santorini to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Santorini to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 21).\n         |- The departure day of Oslo is Day 11. The arrival day of Geneva is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Lyon, Bucharest, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Oslo to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Oslo to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Oslo to Amsterdam.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lyon to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 17 - 21).\n |- The departure day of Florence is Day 4. The arrival day of Geneva is Day 17. Day 4 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Split, Amsterdam, Bucharest, Oslo, Santorini] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 17 - 21).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Geneva is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Split, Bucharest, Oslo, Santorini] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 17 - 21).\n     |- The departure day of Lyon is Day 7. The arrival day of Geneva is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Amsterdam, Lyon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Bucharest, Oslo, Santorini] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Lyon to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 17 - 21).\n       |- The departure day of Bucharest is Day 9. The arrival day of Geneva is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Amsterdam, Lyon, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Oslo, Santorini] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Bucharest to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 21).\n         |- The departure day of Santorini is Day 10. The arrival day of Geneva is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Florence, Amsterdam, Lyon, Bucharest, Santorini].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Oslo] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Santorini to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Santorini to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Santorini to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 17 - 21).\n           |- The departure day of Oslo is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Florence, Amsterdam, Lyon, Bucharest, Santorini, Oslo].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Split] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Oslo to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Oslo to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 17 - 21).\n             |- The departure day of Split is Day 16. The arrival day of Geneva is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Amsterdam, Lyon, Bucharest, Santorini, Oslo, Split].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Split to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Lyon to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lyon to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 17 - 21).\n     |- The departure day of Tallinn is Day 7. The arrival day of Geneva is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Bucharest, Oslo, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 17 - 21).\n       |- The departure day of Oslo is Day 9. The arrival day of Geneva is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Amsterdam, Tallinn, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Split, Bucharest, Santorini] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Oslo to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 21).\n         |- The departure day of Lyon is Day 10. The arrival day of Geneva is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Lyon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Santorini] and explore these options in order.\n           |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Lyon to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 17 - 21).\n           |- The departure day of Bucharest is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Lyon, Bucharest].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Santorini] and explore these options in order.\n             |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Bucharest to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Bucharest to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 17 - 21).\n             |- The departure day of Santorini is Day 13. The arrival day of Geneva is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Lyon, Bucharest, Santorini].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Santorini to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Lyon to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 21).\n         |- The departure day of Split is Day 13. The arrival day of Geneva is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest, Santorini] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 17 - 21).\n           |- The departure day of Lyon is Day 14. The arrival day of Geneva is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Split, Lyon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Lyon to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Geneva (Day 17 - 21).\n             |- The departure day of Bucharest is Day 16. The arrival day of Geneva is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Split, Lyon, Bucharest].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Bucharest to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 17 - 21).\n               |- The departure day of Santorini is Day 17. The arrival day of Geneva is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Split, Lyon, Bucharest, Santorini].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Geneva.\n                 |- Try arranging to visit Geneva from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Santorini to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Florence, Amsterdam, Tallinn, Oslo, Split, Lyon, Bucharest, Santorini, Geneva].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Oslo.\n**Day 7-9:** Visit Oslo for 3 days.\n**Day 9:** Fly from Oslo to Split.\n**Day 9-13:** Visit Split for 5 days.\n**Day 13:** Fly from Split to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n**Day 17:** Fly from Santorini to Geneva.\n**Day 17-21:** Visit Geneva for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Milan**Copenhagen**Zurich**Dubrovnik**Stockholm**Santorini**Oslo**Vilnius",
    "ground_truth_durations": "5**2**5**2**4**3**5**4**5",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 6 and day 10 to tour together. You plan to stay in Seville for 5 days. You want to spend 4 days in Oslo. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 10 and day 11. You plan to stay in Vilnius for 5 days. During day 23 and day 27, you have to attend a conference in Vilnius. You want to spend 2 days in Milan. You plan to stay in Dubrovnik for 4 days. You would like to visit Stockholm for 3 days. You want to spend 5 days in Santorini.\n\nHere are the cities that have direct flights:\nDubrovnik and Oslo, Milan and Stockholm, Stockholm and Oslo, from Stockholm to Santorini, Milan and Oslo, from Santorini to Oslo, Zurich and Vilnius, Copenhagen and Dubrovnik, Milan and Vilnius, Milan and Santorini, Zurich and Dubrovnik, Milan and Zurich, Dubrovnik and Stockholm, Seville and Milan, Zurich and Stockholm, Copenhagen and Stockholm, Zurich and Oslo, Copenhagen and Vilnius, Oslo and Vilnius, Zurich and Santorini, Milan and Copenhagen, Copenhagen and Zurich, Copenhagen and Oslo, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 6 and day 10 to tour together. You plan to stay in Seville for 5 days. You want to spend 4 days in Oslo. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 10 and day 11. You plan to stay in Vilnius for 5 days. During day 23 and day 27, you have to attend a conference in Vilnius. You want to spend 2 days in Milan. You plan to stay in Dubrovnik for 4 days. You would like to visit Stockholm for 3 days. You want to spend 5 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Oslo, from Milan to Stockholm, from Stockholm to Oslo, from Stockholm to Santorini, from Milan to Oslo, from Santorini to Oslo, from Zurich to Vilnius, from Copenhagen to Dubrovnik, from Milan to Vilnius, from Milan to Santorini, from Zurich to Dubrovnik, from Milan to Zurich, from Dubrovnik to Stockholm, from Seville to Milan, from Zurich to Stockholm, from Copenhagen to Stockholm, from Zurich to Oslo, from Copenhagen to Vilnius, from Oslo to Vilnius, from Zurich to Santorini, from Milan to Copenhagen, from Copenhagen to Zurich, from Copenhagen to Oslo, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Zurich.\n**Day 10-11:** Visit Zurich for 2 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-14:** Visit Dubrovnik for 4 days.\n**Day 14:** Fly from Dubrovnik to Stockholm.\n**Day 14-16:** Visit Stockholm for 3 days.\n**Day 16:** Fly from Stockholm to Santorini.\n**Day 16-20:** Visit Santorini for 5 days.\n**Day 20:** Fly from Santorini to Oslo.\n**Day 20-23:** Visit Oslo for 4 days.\n**Day 23:** Fly from Oslo to Vilnius.\n**Day 23-27:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1295",
    "estimated_output_tokens": 3372,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Seville, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Milan, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 6 - 10.\n* City: Zurich, Fixed Schedule: Day 10 - 11.\n* City: Vilnius, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Oslo, Milan, Dubrovnik, Stockholm, Santorini] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 10).\n |- The departure day of Seville is Day 5. The arrival day of Copenhagen is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Milan, Dubrovnik, Stockholm, Santorini] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 6 - 10).\n   |- The departure day of Milan is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 10 - 11).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Zurich is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Milan, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Copenhagen to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 23 - 27).\n       |- The departure day of Zurich is Day 11. The arrival day of Vilnius is Day 23. Day 11 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Seville, Milan, Copenhagen, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Dubrovnik, Stockholm, Santorini] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Zurich to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 23 - 27).\n         |- The departure day of Oslo is Day 14. The arrival day of Vilnius is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Milan, Copenhagen, Zurich, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stockholm, Santorini] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Oslo to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Oslo to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 23 - 27).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Vilnius is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Santorini] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Dubrovnik to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 23 - 27).\n           |- The departure day of Oslo is Day 17. The arrival day of Vilnius is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Oslo].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Oslo to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Oslo to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Dubrovnik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 23 - 27).\n           |- The departure day of Stockholm is Day 16. The arrival day of Vilnius is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Stockholm].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Santorini] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Stockholm to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 23 - 27).\n             |- The departure day of Oslo is Day 19. The arrival day of Vilnius is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Stockholm, Oslo].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Oslo to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Stockholm to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 23 - 27).\n             |- The departure day of Santorini is Day 20. The arrival day of Vilnius is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Stockholm, Santorini].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Santorini to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 23 - 27).\n               |- The departure day of Oslo is Day 23. The arrival day of Vilnius is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Stockholm, Santorini, Oslo].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Oslo to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Seville, Milan, Copenhagen, Zurich, Dubrovnik, Stockholm, Santorini, Oslo, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Copenhagen.\n**Day 6-10:** Visit Copenhagen for 5 days.\n**Day 10:** Fly from Copenhagen to Zurich.\n**Day 10-11:** Visit Zurich for 2 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-14:** Visit Dubrovnik for 4 days.\n**Day 14:** Fly from Dubrovnik to Stockholm.\n**Day 14-16:** Visit Stockholm for 3 days.\n**Day 16:** Fly from Stockholm to Santorini.\n**Day 16-20:** Visit Santorini for 5 days.\n**Day 20:** Fly from Santorini to Oslo.\n**Day 20-23:** Visit Oslo for 4 days.\n**Day 23:** Fly from Oslo to Vilnius.\n**Day 23-27:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Milan**Reykjavik**Helsinki**Vilnius**Vienna**Stuttgart**Hamburg**Salzburg",
    "ground_truth_durations": "3**2**3**4**4**4**5**4**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Milan",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 4 days in Hamburg. You plan to stay in Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 4 and day 6 to tour together. You plan to stay in Stuttgart for 5 days. You want to spend 4 days in Vienna. You want to meet a friend in Vienna between day 12 and day 15. You would like to visit Salzburg for 4 days. You are going to attend a wedding in Salzburg between day 22 and day 25. You want to spend 3 days in Athens. You have to attend a workshop in Athens between day 1 and day 3. You plan to stay in Helsinki for 4 days. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and Hamburg, from Reykjavik to Stuttgart, Milan and Vilnius, Milan and Stuttgart, Athens and Stuttgart, Hamburg and Salzburg, Vienna and Stuttgart, Athens and Vienna, Helsinki and Hamburg, Vienna and Hamburg, Milan and Reykjavik, Reykjavik and Vienna, Athens and Hamburg, from Reykjavik to Athens, Vilnius and Vienna, Athens and Milan, Milan and Hamburg, Athens and Vilnius, Helsinki and Vilnius, Milan and Vienna, Reykjavik and Helsinki, Helsinki and Vienna, Milan and Helsinki.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You want to spend 4 days in Hamburg. You plan to stay in Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 4 and day 6 to tour together. You plan to stay in Stuttgart for 5 days. You want to spend 4 days in Vienna. You want to meet a friend in Vienna between day 12 and day 15. You would like to visit Salzburg for 4 days. You are going to attend a wedding in Salzburg between day 22 and day 25. You want to spend 3 days in Athens. You have to attend a workshop in Athens between day 1 and day 3. You plan to stay in Helsinki for 4 days. You would like to visit Milan for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Hamburg, from Reykjavik to Stuttgart, from Milan to Vilnius, from Milan to Stuttgart, from Athens to Stuttgart, from Hamburg to Salzburg, from Vienna to Stuttgart, from Athens to Vienna, from Helsinki to Hamburg, from Vienna to Hamburg, from Milan to Reykjavik, from Reykjavik to Vienna, from Athens to Hamburg, from Reykjavik to Athens, from Vilnius to Vienna, from Athens to Milan, from Milan to Hamburg, from Athens to Vilnius, from Helsinki to Vilnius, from Milan to Vienna, from Reykjavik to Helsinki, from Helsinki to Vienna, from Milan to Helsinki.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Reykjavik.\n**Day 4-6:** Visit Reykjavik for 3 days.\n**Day 6:** Fly from Reykjavik to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-15:** Visit Vienna for 4 days.\n**Day 15:** Fly from Vienna to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1296",
    "estimated_output_tokens": 3567,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Stuttgart, Duration: 5 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Salzburg, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 3.\n* City: Reykjavik, Fixed Schedule: Day 4 - 6.\n* City: Vienna, Fixed Schedule: Day 12 - 15.\n* City: Salzburg, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 6).\n |- The departure day of Athens is Day 3. The arrival day of Reykjavik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Stuttgart, Helsinki, Milan] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 6).\n   |- The departure day of Vilnius is Day 6. The arrival day of Reykjavik is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 6).\n   |- The departure day of Hamburg is Day 6. The arrival day of Reykjavik is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 6).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Reykjavik is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Athens to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 6).\n   |- The departure day of Milan is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Athens, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 12 - 15).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Vienna is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Athens, Milan, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Stuttgart, Helsinki] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Reykjavik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Reykjavik to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 12 - 15).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Vienna is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Athens, Milan, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Helsinki] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stuttgart to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stuttgart to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vienna (Day 12 - 15).\n         |- The departure day of Hamburg is Day 13. The arrival day of Vienna is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stuttgart to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Reykjavik to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vienna (Day 12 - 15).\n       |- The departure day of Helsinki is Day 9. The arrival day of Vienna is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Athens, Milan, Reykjavik, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 12 - 15).\n         |- The departure day of Vilnius is Day 12. The arrival day of Vienna is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Salzburg (Day 22 - 25).\n           |- The departure day of Vienna is Day 15. The arrival day of Salzburg is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius, Vienna].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Vienna to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Salzburg (Day 22 - 25).\n             |- The departure day of Hamburg is Day 18. The arrival day of Salzburg is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius, Vienna, Hamburg].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Hamburg to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Vienna to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Salzburg (Day 22 - 25).\n             |- The departure day of Stuttgart is Day 19. The arrival day of Salzburg is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius, Vienna, Stuttgart].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Stuttgart to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Salzburg (Day 22 - 25).\n               |- The departure day of Hamburg is Day 22. The arrival day of Salzburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius, Vienna, Stuttgart, Hamburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Hamburg to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Athens, Milan, Reykjavik, Helsinki, Vilnius, Vienna, Stuttgart, Hamburg, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Milan.\n**Day 3-4:** Visit Milan for 2 days.\n**Day 4:** Fly from Milan to Reykjavik.\n**Day 4-6:** Visit Reykjavik for 3 days.\n**Day 6:** Fly from Reykjavik to Helsinki.\n**Day 6-9:** Visit Helsinki for 4 days.\n**Day 9:** Fly from Helsinki to Vilnius.\n**Day 9-12:** Visit Vilnius for 4 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-15:** Visit Vienna for 4 days.\n**Day 15:** Fly from Vienna to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Rome**Madrid**Seville**Munich**Reykjavik**Berlin**Geneva**Dubrovnik",
    "ground_truth_durations": "2**3**3**5**4**4**3**2**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. During day 1 and day 2, you have to attend a conference in Copenhagen. You plan to stay in Reykjavik for 4 days. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 6 and day 10 to tour together. You want to spend 3 days in Madrid. You would like to visit Rome for 3 days. From day 2 to day 4, there is a annual show you want to attend in Rome. You want to spend 3 days in Berlin. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Geneva. You plan to visit relatives in Geneva between day 18 and day 19. You would like to visit Munich for 4 days.\n\nHere are the cities that have direct flights:\nMadrid and Geneva, Copenhagen and Munich, from Reykjavik to Madrid, Madrid and Berlin, Berlin and Geneva, Munich and Berlin, Copenhagen and Geneva, Seville and Munich, Rome and Berlin, Rome and Madrid, Madrid and Munich, Copenhagen and Dubrovnik, Copenhagen and Rome, Copenhagen and Madrid, Reykjavik and Berlin, Rome and Dubrovnik, Rome and Seville, Rome and Reykjavik, Geneva and Dubrovnik, Copenhagen and Reykjavik, Rome and Geneva, Munich and Geneva, Rome and Munich, Copenhagen and Berlin, Madrid and Seville, Madrid and Dubrovnik, Munich and Dubrovnik, Munich and Reykjavik.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. During day 1 and day 2, you have to attend a conference in Copenhagen. You plan to stay in Reykjavik for 4 days. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 6 and day 10 to tour together. You want to spend 3 days in Madrid. You would like to visit Rome for 3 days. From day 2 to day 4, there is a annual show you want to attend in Rome. You want to spend 3 days in Berlin. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Geneva. You plan to visit relatives in Geneva between day 18 and day 19. You would like to visit Munich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Geneva, from Copenhagen to Munich, from Reykjavik to Madrid, from Madrid to Berlin, from Berlin to Geneva, from Munich to Berlin, from Copenhagen to Geneva, from Seville to Munich, from Rome to Berlin, from Rome to Madrid, from Madrid to Munich, from Copenhagen to Dubrovnik, from Copenhagen to Rome, from Copenhagen to Madrid, from Reykjavik to Berlin, from Rome to Dubrovnik, from Rome to Seville, from Rome to Reykjavik, from Geneva to Dubrovnik, from Copenhagen to Reykjavik, from Rome to Geneva, from Munich to Geneva, from Rome to Munich, from Copenhagen to Berlin, from Madrid to Seville, from Madrid to Dubrovnik, from Munich to Dubrovnik, from Munich to Reykjavik.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Berlin.\n**Day 16-18:** Visit Berlin for 3 days.\n**Day 18:** Fly from Berlin to Geneva.\n**Day 18-19:** Visit Geneva for 2 days.\n**Day 19:** Fly from Geneva to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1297",
    "estimated_output_tokens": 2574,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Reykjavik, Duration: 4 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Madrid, Duration: 3 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Munich, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 2 - 4.\n* City: Seville, Fixed Schedule: Day 6 - 10.\n* City: Geneva, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Madrid, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 4).\n |- The departure day of Copenhagen is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 6 - 10).\n   |- The departure day of Rome is Day 4. The arrival day of Seville is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Copenhagen, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Madrid, Berlin, Dubrovnik, Munich] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 6 - 10).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Seville is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Madrid from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Rome to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 6 - 10).\n     |- The departure day of Madrid is Day 6. The arrival day of Seville is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Copenhagen, Rome, Madrid].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 18 - 19).\n       |- The departure day of Seville is Day 10. The arrival day of Geneva is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Rome, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Berlin, Dubrovnik, Munich] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Seville to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Seville to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Seville to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Seville to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 18 - 19).\n         |- The departure day of Munich is Day 13. The arrival day of Geneva is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Rome, Madrid, Seville, Munich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Berlin, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Munich to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 18 - 19).\n           |- The departure day of Reykjavik is Day 16. The arrival day of Geneva is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Copenhagen, Rome, Madrid, Seville, Munich, Reykjavik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Reykjavik to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 18 - 19).\n             |- The departure day of Berlin is Day 18. The arrival day of Geneva is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Copenhagen, Rome, Madrid, Seville, Munich, Reykjavik, Berlin].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Berlin to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Copenhagen, Rome, Madrid, Seville, Munich, Reykjavik, Berlin, Geneva].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Geneva to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Copenhagen, Rome, Madrid, Seville, Munich, Reykjavik, Berlin, Geneva, Dubrovnik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Copenhagen and visit Copenhagen for 2 days.\n**Day 2:** Fly from Copenhagen to Rome.\n**Day 2-4:** Visit Rome for 3 days.\n**Day 4:** Fly from Rome to Madrid.\n**Day 4-6:** Visit Madrid for 3 days.\n**Day 6:** Fly from Madrid to Seville.\n**Day 6-10:** Visit Seville for 5 days.\n**Day 10:** Fly from Seville to Munich.\n**Day 10-13:** Visit Munich for 4 days.\n**Day 13:** Fly from Munich to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Berlin.\n**Day 16-18:** Visit Berlin for 3 days.\n**Day 18:** Fly from Berlin to Geneva.\n**Day 18-19:** Visit Geneva for 2 days.\n**Day 19:** Fly from Geneva to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Barcelona**Vienna**Athens**Geneva**Budapest**Naples**Venice**Lyon",
    "ground_truth_durations": "4**5**4**2**2**2**4**5**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Vienna",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 5 days. You plan to visit relatives in Barcelona between day 4 and day 8. You want to spend 4 days in Amsterdam. You would like to meet your friends at Amsterdam between day 1 and day 4 to tour together. You would like to visit Lyon for 5 days. You want to spend 4 days in Vienna. You want to meet a friend in Vienna between day 8 and day 11. You plan to stay in Geneva for 2 days. You plan to stay in Naples for 4 days. You would like to visit Venice for 5 days. You would like to visit Budapest for 2 days. You would like to visit Athens for 2 days. You have to attend a workshop in Athens between day 11 and day 12.\n\nHere are the cities that have direct flights:\nBarcelona and Vienna, Amsterdam and Venice, Athens and Geneva, Vienna and Lyon, Vienna and Naples, Geneva and Naples, Amsterdam and Geneva, Vienna and Athens, Barcelona and Naples, Amsterdam and Athens, Naples and Venice, Barcelona and Geneva, Budapest and Naples, Venice and Lyon, Amsterdam and Naples, Amsterdam and Barcelona, Barcelona and Lyon, Amsterdam and Budapest, Vienna and Geneva, Athens and Naples, Amsterdam and Lyon, Athens and Venice, Geneva and Budapest, Amsterdam and Vienna, Vienna and Budapest, Barcelona and Venice, Barcelona and Athens, Barcelona and Budapest, Vienna and Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 5 days. You plan to visit relatives in Barcelona between day 4 and day 8. You want to spend 4 days in Amsterdam. You would like to meet your friends at Amsterdam between day 1 and day 4 to tour together. You would like to visit Lyon for 5 days. You want to spend 4 days in Vienna. You want to meet a friend in Vienna between day 8 and day 11. You plan to stay in Geneva for 2 days. You plan to stay in Naples for 4 days. You would like to visit Venice for 5 days. You would like to visit Budapest for 2 days. You would like to visit Athens for 2 days. You have to attend a workshop in Athens between day 11 and day 12.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Vienna, from Amsterdam to Venice, from Athens to Geneva, from Vienna to Lyon, from Vienna to Naples, from Geneva to Naples, from Amsterdam to Geneva, from Vienna to Athens, from Barcelona to Naples, from Amsterdam to Athens, from Naples to Venice, from Barcelona to Geneva, from Budapest to Naples, from Venice to Lyon, from Amsterdam to Naples, from Amsterdam to Barcelona, from Barcelona to Lyon, from Amsterdam to Budapest, from Vienna to Geneva, from Athens to Naples, from Amsterdam to Lyon, from Athens to Venice, from Geneva to Budapest, from Amsterdam to Vienna, from Vienna to Budapest, from Barcelona to Venice, from Barcelona to Athens, from Barcelona to Budapest, from Vienna to Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Barcelona.\n**Day 4-8:** Visit Barcelona for 5 days.\n**Day 8:** Fly from Barcelona to Vienna.\n**Day 8-11:** Visit Vienna for 4 days.\n**Day 11:** Fly from Vienna to Athens.\n**Day 11-12:** Visit Athens for 2 days.\n**Day 12:** Fly from Athens to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Naples.\n**Day 14-17:** Visit Naples for 4 days.\n**Day 17:** Fly from Naples to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_1298",
    "estimated_output_tokens": 3030,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Duration: 5 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Geneva, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 4.\n* City: Barcelona, Fixed Schedule: Day 4 - 8.\n* City: Vienna, Fixed Schedule: Day 8 - 11.\n* City: Athens, Fixed Schedule: Day 11 - 12.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Budapest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 4 - 8).\n |- The departure day of Amsterdam is Day 4. The arrival day of Barcelona is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Amsterdam to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 8 - 11).\n   |- The departure day of Barcelona is Day 8. The arrival day of Vienna is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Amsterdam, Barcelona].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Barcelona to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 11 - 12).\n     |- The departure day of Vienna is Day 11. The arrival day of Athens is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Amsterdam, Barcelona, Vienna].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Vienna to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Amsterdam, Barcelona, Vienna, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Geneva, Naples, Venice, Budapest] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Athens to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Athens to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Naples, Venice, Budapest] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Geneva to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Geneva to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Naples].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Venice, Budapest] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Naples to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Venice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Naples to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Naples, Venice].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Budapest] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Venice to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Naples, Venice, Lyon].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n                 |- Try arranging to visit Budapest from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Lyon to Budapest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Budapest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Venice to Budapest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Budapest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Naples to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Geneva to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Geneva to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Budapest].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Naples, Venice] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Budapest to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Budapest to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Budapest, Naples].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Venice] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Naples to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Naples to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Budapest, Naples, Venice].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Venice to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Amsterdam, Barcelona, Vienna, Athens, Geneva, Budapest, Naples, Venice, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Barcelona.\n**Day 4-8:** Visit Barcelona for 5 days.\n**Day 8:** Fly from Barcelona to Vienna.\n**Day 8-11:** Visit Vienna for 4 days.\n**Day 11:** Fly from Vienna to Athens.\n**Day 11-12:** Visit Athens for 2 days.\n**Day 12:** Fly from Athens to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Naples.\n**Day 14-17:** Visit Naples for 4 days.\n**Day 17:** Fly from Naples to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Hamburg**Madrid**Porto**Amsterdam**Vilnius**Berlin**Budapest",
    "ground_truth_durations": "2**4**5**3**5**3**2**4**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 5 days. From day 5 to day 9, there is a annual show you want to attend in Hamburg. You would like to visit Rome for 4 days. You plan to stay in Reykjavik for 2 days. You want to spend 2 days in Vilnius. You would like to visit Amsterdam for 3 days. You want to spend 5 days in Budapest. You have to attend a workshop in Budapest between day 21 and day 25. You want to spend 3 days in Madrid. You want to meet a friend in Madrid between day 9 and day 11. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 18 and day 21. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nHamburg and Budapest, Reykjavik and Berlin, Rome and Berlin, Madrid and Berlin, Madrid and Porto, Rome and Budapest, Vilnius and Berlin, Reykjavik and Budapest, Porto and Amsterdam, Rome and Amsterdam, Rome and Madrid, Rome and Hamburg, Hamburg and Porto, Berlin and Budapest, from Reykjavik to Madrid, Amsterdam and Berlin, Madrid and Amsterdam, Amsterdam and Budapest, Madrid and Budapest, Hamburg and Amsterdam, Reykjavik and Rome, Hamburg and Madrid, Reykjavik and Amsterdam, Porto and Berlin, Amsterdam and Vilnius.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Hamburg for 5 days. From day 5 to day 9, there is a annual show you want to attend in Hamburg. You would like to visit Rome for 4 days. You plan to stay in Reykjavik for 2 days. You want to spend 2 days in Vilnius. You would like to visit Amsterdam for 3 days. You want to spend 5 days in Budapest. You have to attend a workshop in Budapest between day 21 and day 25. You want to spend 3 days in Madrid. You want to meet a friend in Madrid between day 9 and day 11. You want to spend 4 days in Berlin. You plan to visit relatives in Berlin between day 18 and day 21. You want to spend 5 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Budapest, from Reykjavik to Berlin, from Rome to Berlin, from Madrid to Berlin, from Madrid to Porto, from Rome to Budapest, from Vilnius to Berlin, from Reykjavik to Budapest, from Porto to Amsterdam, from Rome to Amsterdam, from Rome to Madrid, from Rome to Hamburg, from Hamburg to Porto, from Berlin to Budapest, from Reykjavik to Madrid, from Amsterdam to Berlin, from Madrid to Amsterdam, from Amsterdam to Budapest, from Madrid to Budapest, from Hamburg to Amsterdam, from Reykjavik to Rome, from Hamburg to Madrid, from Reykjavik to Amsterdam, from Porto to Berlin, from Amsterdam to Vilnius.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Hamburg.\n**Day 5-9:** Visit Hamburg for 5 days.\n**Day 9:** Fly from Hamburg to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Amsterdam.\n**Day 15-17:** Visit Amsterdam for 3 days.\n**Day 17:** Fly from Amsterdam to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.\n**Day 18:** Fly from Vilnius to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Budapest.\n**Day 21-25:** Visit Budapest for 5 days.",
    "id": "trip_planning_example_1299",
    "estimated_output_tokens": 3437,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Rome, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Porto, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 5 - 9.\n* City: Madrid, Fixed Schedule: Day 9 - 11.\n* City: Berlin, Fixed Schedule: Day 18 - 21.\n* City: Budapest, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Vilnius, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Reykjavik, Vilnius, Amsterdam, Porto] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 5 - 9).\n |- The departure day of Rome is Day 4. The arrival day of Hamburg is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Amsterdam, Porto] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Rome to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Rome to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Rome to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Hamburg (Day 5 - 9).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Hamburg is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Rome to Porto.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 5 - 9).\n |- The departure day of Reykjavik is Day 2. The arrival day of Hamburg is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Amsterdam, Porto] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Hamburg (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Hamburg is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Hamburg.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 9 - 11).\n     |- The departure day of Hamburg is Day 9. The arrival day of Madrid is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Reykjavik, Rome, Hamburg].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Hamburg to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 18 - 21).\n       |- The departure day of Madrid is Day 11. The arrival day of Berlin is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Rome, Hamburg, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Amsterdam, Porto] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Madrid to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 18 - 21).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Berlin is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Amsterdam to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Berlin (Day 18 - 21).\n           |- The departure day of Vilnius is Day 14. The arrival day of Berlin is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Amsterdam, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n             |- Try arranging to visit Porto from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Vilnius to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Amsterdam to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Madrid to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 18 - 21).\n         |- The departure day of Porto is Day 15. The arrival day of Berlin is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Porto].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Porto to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Porto to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Berlin (Day 18 - 21).\n           |- The departure day of Amsterdam is Day 17. The arrival day of Berlin is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Porto, Amsterdam].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Amsterdam to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Berlin (Day 18 - 21).\n             |- The departure day of Vilnius is Day 18. The arrival day of Berlin is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Porto, Amsterdam, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Berlin.\n               |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Vilnius to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 21 - 25).\n               |- The departure day of Berlin is Day 21. The arrival day of Budapest is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Porto, Amsterdam, Vilnius, Berlin].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Budapest.\n                 |- Try arranging to visit Budapest from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Berlin to Budapest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Reykjavik, Rome, Hamburg, Madrid, Porto, Amsterdam, Vilnius, Berlin, Budapest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Hamburg.\n**Day 5-9:** Visit Hamburg for 5 days.\n**Day 9:** Fly from Hamburg to Madrid.\n**Day 9-11:** Visit Madrid for 3 days.\n**Day 11:** Fly from Madrid to Porto.\n**Day 11-15:** Visit Porto for 5 days.\n**Day 15:** Fly from Porto to Amsterdam.\n**Day 15-17:** Visit Amsterdam for 3 days.\n**Day 17:** Fly from Amsterdam to Vilnius.\n**Day 17-18:** Visit Vilnius for 2 days.\n**Day 18:** Fly from Vilnius to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Budapest.\n**Day 21-25:** Visit Budapest for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Copenhagen**Reykjavik**Madrid**Split**Geneva**Nice**Istanbul**Bucharest",
    "ground_truth_durations": "4**2**2**3**2**4**5**2**2",
    "num_cities": 9,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Madrid",
        "Nice"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You would like to visit Split for 2 days. You plan to stay in Istanbul for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 17 and day 18. You plan to stay in Tallinn for 4 days. You would like to visit Reykjavik for 2 days. You would like to visit Copenhagen for 2 days. You would like to visit Geneva for 4 days. You plan to stay in Madrid for 3 days. From day 6 to day 8, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nCopenhagen and Madrid, from Reykjavik to Madrid, from Istanbul to Tallinn, Istanbul and Bucharest, Geneva and Istanbul, Reykjavik and Nice, Madrid and Split, Copenhagen and Geneva, Copenhagen and Bucharest, Copenhagen and Split, Madrid and Nice, Copenhagen and Reykjavik, Madrid and Geneva, Madrid and Istanbul, Split and Geneva, Copenhagen and Nice, Nice and Istanbul, Geneva and Nice, Madrid and Bucharest, Copenhagen and Istanbul, Tallinn and Copenhagen.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 5 days. You would like to visit Split for 2 days. You plan to stay in Istanbul for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 17 and day 18. You plan to stay in Tallinn for 4 days. You would like to visit Reykjavik for 2 days. You would like to visit Copenhagen for 2 days. You would like to visit Geneva for 4 days. You plan to stay in Madrid for 3 days. From day 6 to day 8, there is a annual show you want to attend in Madrid.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Madrid, from Reykjavik to Madrid, from Istanbul to Tallinn, from Istanbul to Bucharest, from Geneva to Istanbul, from Reykjavik to Nice, from Madrid to Split, from Copenhagen to Geneva, from Copenhagen to Bucharest, from Copenhagen to Split, from Madrid to Nice, from Copenhagen to Reykjavik, from Madrid to Geneva, from Madrid to Istanbul, from Split to Geneva, from Copenhagen to Nice, from Nice to Istanbul, from Geneva to Nice, from Madrid to Bucharest, from Copenhagen to Istanbul, from Tallinn to Copenhagen.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 18 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Madrid.\n**Day 6-8:** Visit Madrid for 3 days.\n**Day 8:** Fly from Madrid to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Nice.\n**Day 12-16:** Visit Nice for 5 days.\n**Day 16:** Fly from Nice to Istanbul.\n**Day 16-17:** Visit Istanbul for 2 days.\n**Day 17:** Fly from Istanbul to Bucharest.\n**Day 17-18:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1300",
    "estimated_output_tokens": 8948,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Tallinn, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 6 - 8.\n* City: Bucharest, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Split, Duration: 2 days.\n* City: Istanbul, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Split, Istanbul, Tallinn, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 6 - 8).\n |- The departure day of Nice is Day 5. The arrival day of Madrid is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Istanbul, Tallinn, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n   |- The departure day of Istanbul is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Istanbul to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 6 - 8).\n |- The departure day of Split is Day 2. The arrival day of Madrid is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Istanbul, Tallinn, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 6 - 8).\n   |- The departure day of Geneva is Day 5. The arrival day of Madrid is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Istanbul, Tallinn, Reykjavik, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Geneva to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Nice is Day 9. The arrival day of Madrid is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Geneva to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Istanbul is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Split, Geneva, Istanbul].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Istanbul to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Geneva to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Geneva to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 6 - 8).\n |- The departure day of Istanbul is Day 2. The arrival day of Madrid is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Split, Tallinn, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Istanbul to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 6 - 8).\n   |- The departure day of Tallinn is Day 5. The arrival day of Madrid is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Tallinn].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Split, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Tallinn to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Tallinn to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Copenhagen is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Tallinn, Copenhagen].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Copenhagen to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 17 - 18).\n       |- The departure day of Madrid is Day 8. The arrival day of Bucharest is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Split, Reykjavik, Geneva] and explore these options in order.\n         |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Madrid to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 17 - 18).\n         |- The departure day of Nice is Day 12. The arrival day of Bucharest is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Nice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik, Geneva] and explore these options in order.\n           |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Nice to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Nice to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Madrid to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 17 - 18).\n         |- The departure day of Split is Day 9. The arrival day of Bucharest is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Split].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik, Geneva] and explore these options in order.\n           |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Split to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Split to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Split to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 17 - 18).\n           |- The departure day of Geneva is Day 12. The arrival day of Bucharest is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Split, Geneva].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Nice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Geneva to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 17 - 18).\n             |- The departure day of Nice is Day 16. The arrival day of Bucharest is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Split, Geneva, Nice].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Nice to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Geneva to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Madrid to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Madrid to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 17 - 18).\n         |- The departure day of Geneva is Day 11. The arrival day of Bucharest is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Geneva].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Split, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Nice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Geneva to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 17 - 18).\n           |- The departure day of Nice is Day 15. The arrival day of Bucharest is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Istanbul, Tallinn, Copenhagen, Madrid, Geneva, Nice].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Nice to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Nice to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Geneva to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Geneva to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Tallinn to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Istanbul to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Istanbul to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 6 - 8).\n |- The departure day of Tallinn is Day 4. The arrival day of Madrid is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Split, Istanbul, Reykjavik, Copenhagen, Geneva] and explore these options in order.\n   |- Try arranging to visit Nice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Tallinn to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 6 - 8).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Madrid is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Split, Istanbul, Reykjavik, Geneva] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Copenhagen to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Nice is Day 9. The arrival day of Madrid is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Split is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Tallinn, Copenhagen, Split].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Split to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Istanbul is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Tallinn, Copenhagen, Istanbul].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Istanbul to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 6 - 8).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Tallinn, Copenhagen, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 17 - 18).\n       |- The departure day of Madrid is Day 8. The arrival day of Bucharest is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Split, Istanbul, Geneva] and explore these options in order.\n         |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Madrid to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 17 - 18).\n         |- The departure day of Nice is Day 12. The arrival day of Bucharest is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Nice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Istanbul, Geneva] and explore these options in order.\n           |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Nice to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Nice to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 17 - 18).\n           |- The departure day of Istanbul is Day 13. The arrival day of Bucharest is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Nice, Istanbul].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Geneva] and explore these options in order.\n             |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Istanbul to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Istanbul to Geneva.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Nice to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Madrid to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 17 - 18).\n         |- The departure day of Split is Day 9. The arrival day of Bucharest is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Split].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Istanbul, Geneva] and explore these options in order.\n           |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Split to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Split to Istanbul.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Split to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 17 - 18).\n           |- The departure day of Geneva is Day 12. The arrival day of Bucharest is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Split, Geneva].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Istanbul] and explore these options in order.\n             |- Try arranging to visit Nice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Geneva to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 17 - 18).\n             |- The departure day of Nice is Day 16. The arrival day of Bucharest is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Split, Geneva, Nice].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Nice to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 17 - 18).\n               |- The departure day of Istanbul is Day 17. The arrival day of Bucharest is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Split, Geneva, Nice, Istanbul].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Bucharest.\n                 |- Try arranging to visit Bucharest from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Istanbul to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Tallinn, Copenhagen, Reykjavik, Madrid, Split, Geneva, Nice, Istanbul, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Madrid.\n**Day 6-8:** Visit Madrid for 3 days.\n**Day 8:** Fly from Madrid to Split.\n**Day 8-9:** Visit Split for 2 days.\n**Day 9:** Fly from Split to Geneva.\n**Day 9-12:** Visit Geneva for 4 days.\n**Day 12:** Fly from Geneva to Nice.\n**Day 12-16:** Visit Nice for 5 days.\n**Day 16:** Fly from Nice to Istanbul.\n**Day 16-17:** Visit Istanbul for 2 days.\n**Day 17:** Fly from Istanbul to Bucharest.\n**Day 17-18:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Oslo**Geneva**Porto**Stuttgart**Lisbon**Valencia**Berlin**Salzburg",
    "ground_truth_durations": "4**5**3**3**2**3**3**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You would like to visit Geneva for 3 days. You would like to visit Porto for 3 days. You plan to stay in Lisbon for 3 days. You would like to meet your friends at Lisbon between day 13 and day 15 to tour together. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4. You would like to visit Stuttgart for 2 days. You want to spend 3 days in Berlin. You would like to visit Valencia for 3 days. From day 15 to day 17, there is a annual show you want to attend in Valencia. You plan to stay in Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Berlin, Porto and Stuttgart, Oslo and Porto, Lisbon and Berlin, Geneva and Lisbon, Lyon and Porto, Geneva and Porto, Lyon and Oslo, Lyon and Valencia, Oslo and Lisbon, Porto and Valencia, Oslo and Geneva, Berlin and Salzburg, Lyon and Lisbon, Stuttgart and Lisbon, Porto and Berlin, Valencia and Berlin, Stuttgart and Valencia, Geneva and Valencia, Stuttgart and Berlin, Geneva and Berlin, Porto and Lisbon, Lisbon and Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Oslo. You would like to visit Geneva for 3 days. You would like to visit Porto for 3 days. You plan to stay in Lisbon for 3 days. You would like to meet your friends at Lisbon between day 13 and day 15 to tour together. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4. You would like to visit Stuttgart for 2 days. You want to spend 3 days in Berlin. You would like to visit Valencia for 3 days. From day 15 to day 17, there is a annual show you want to attend in Valencia. You plan to stay in Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Berlin, from Porto to Stuttgart, from Oslo to Porto, from Lisbon to Berlin, from Geneva to Lisbon, from Lyon to Porto, from Geneva to Porto, from Lyon to Oslo, from Lyon to Valencia, from Oslo to Lisbon, from Porto to Valencia, from Oslo to Geneva, from Berlin to Salzburg, from Lyon to Lisbon, from Stuttgart to Lisbon, from Porto to Berlin, from Valencia to Berlin, from Stuttgart to Valencia, from Geneva to Valencia, from Stuttgart to Berlin, from Geneva to Berlin, from Porto to Lisbon, from Lisbon to Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Porto.\n**Day 10-12:** Visit Porto for 3 days.\n**Day 12:** Fly from Porto to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.\n**Day 13:** Fly from Stuttgart to Lisbon.\n**Day 13-15:** Visit Lisbon for 3 days.\n**Day 15:** Fly from Lisbon to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Berlin.\n**Day 17-19:** Visit Berlin for 3 days.\n**Day 19:** Fly from Berlin to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1301",
    "estimated_output_tokens": 2187,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days.\n* City: Geneva, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stuttgart, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Salzburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 13 - 15.\n* City: Valencia, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Geneva, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 13 - 15).\n |- The departure day of Lyon is Day 4. The arrival day of Lisbon is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Geneva, Porto, Stuttgart, Berlin, Salzburg] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 13 - 15).\n   |- The departure day of Oslo is Day 8. The arrival day of Lisbon is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Oslo].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Porto, Stuttgart, Berlin, Salzburg] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Oslo to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 13 - 15).\n     |- The departure day of Geneva is Day 10. The arrival day of Lisbon is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Oslo, Geneva].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Stuttgart, Berlin, Salzburg] and explore these options in order.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 13 - 15).\n       |- The departure day of Porto is Day 12. The arrival day of Lisbon is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Oslo, Geneva, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Berlin, Salzburg] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 13 - 15).\n         |- The departure day of Stuttgart is Day 13. The arrival day of Lisbon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, Oslo, Geneva, Porto, Stuttgart].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Stuttgart to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 15 - 17).\n           |- The departure day of Lisbon is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Oslo, Geneva, Porto, Stuttgart, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Lisbon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Oslo, Geneva, Porto, Stuttgart, Lisbon, Valencia].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Valencia to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Lyon, Oslo, Geneva, Porto, Stuttgart, Lisbon, Valencia, Berlin].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Berlin to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Lyon, Oslo, Geneva, Porto, Stuttgart, Lisbon, Valencia, Berlin, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Oslo.\n**Day 4-8:** Visit Oslo for 5 days.\n**Day 8:** Fly from Oslo to Geneva.\n**Day 8-10:** Visit Geneva for 3 days.\n**Day 10:** Fly from Geneva to Porto.\n**Day 10-12:** Visit Porto for 3 days.\n**Day 12:** Fly from Porto to Stuttgart.\n**Day 12-13:** Visit Stuttgart for 2 days.\n**Day 13:** Fly from Stuttgart to Lisbon.\n**Day 13-15:** Visit Lisbon for 3 days.\n**Day 15:** Fly from Lisbon to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Berlin.\n**Day 17-19:** Visit Berlin for 3 days.\n**Day 19:** Fly from Berlin to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Amsterdam**Reykjavik**Madrid**Helsinki**Split**Geneva**Porto**Warsaw",
    "ground_truth_durations": "2**4**3**4**5**2**2**3**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Madrid",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 2 days. You would like to visit Helsinki for 5 days. During day 10 and day 14, you have to attend a conference in Helsinki. You plan to stay in Amsterdam for 4 days. You plan to stay in Split for 2 days. You would like to visit Santorini for 2 days. You want to spend 3 days in Porto. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 18 and day 19. You would like to visit Madrid for 4 days. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 5 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nMadrid and Helsinki, Amsterdam and Geneva, Amsterdam and Split, Amsterdam and Madrid, Geneva and Porto, Reykjavik and Helsinki, Amsterdam and Porto, Helsinki and Warsaw, Madrid and Warsaw, from Reykjavik to Madrid, Amsterdam and Warsaw, Madrid and Split, Helsinki and Geneva, Helsinki and Split, Geneva and Warsaw, Amsterdam and Reykjavik, Amsterdam and Helsinki, Reykjavik and Warsaw, Madrid and Porto, Split and Warsaw, Santorini and Madrid, Split and Geneva, Santorini and Amsterdam, Porto and Warsaw, Santorini and Geneva, Madrid and Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 2 days. You would like to visit Helsinki for 5 days. During day 10 and day 14, you have to attend a conference in Helsinki. You plan to stay in Amsterdam for 4 days. You plan to stay in Split for 2 days. You would like to visit Santorini for 2 days. You want to spend 3 days in Porto. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 18 and day 19. You would like to visit Madrid for 4 days. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 5 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nfrom Madrid to Helsinki, from Amsterdam to Geneva, from Amsterdam to Split, from Amsterdam to Madrid, from Geneva to Porto, from Reykjavik to Helsinki, from Amsterdam to Porto, from Helsinki to Warsaw, from Madrid to Warsaw, from Reykjavik to Madrid, from Amsterdam to Warsaw, from Madrid to Split, from Helsinki to Geneva, from Helsinki to Split, from Geneva to Warsaw, from Amsterdam to Reykjavik, from Amsterdam to Helsinki, from Reykjavik to Warsaw, from Madrid to Porto, from Split to Warsaw, from Santorini to Madrid, from Split to Geneva, from Santorini to Amsterdam, from Porto to Warsaw, from Santorini to Geneva, from Madrid to Geneva.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Split.\n**Day 14-15:** Visit Split for 2 days.\n**Day 15:** Fly from Split to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n**Day 18:** Fly from Porto to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.",
    "id": "trip_planning_example_1302",
    "estimated_output_tokens": 6514,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 2 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Amsterdam, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Madrid, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 7.\n* City: Helsinki, Fixed Schedule: Day 10 - 14.\n* City: Warsaw, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Geneva, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Santorini, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Split, Santorini, Porto, Madrid] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Geneva is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split, Santorini, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Porto is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split, Santorini, Madrid] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Porto to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Porto to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Porto to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Porto to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Amsterdam is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Split, Santorini, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Geneva is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Split is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Split].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Split to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Amsterdam to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Porto is Day 6. The arrival day of Reykjavik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 7).\n   |- The departure day of Madrid is Day 7. The arrival day of Reykjavik is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Split is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Santorini, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Geneva is Day 3. The arrival day of Reykjavik is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini, Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Geneva to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Geneva to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 5 - 7).\n     |- The departure day of Porto is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Split, Geneva, Porto].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Porto to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 7).\n |- The departure day of Santorini is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Split, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Geneva is Day 3. The arrival day of Reykjavik is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Santorini, Geneva].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split, Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Geneva to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Geneva to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 5 - 7).\n     |- The departure day of Porto is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Geneva, Porto].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Porto to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Geneva to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 7).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Amsterdam to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 10 - 14).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Helsinki is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Amsterdam, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Split, Porto, Madrid] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 10 - 14).\n       |- The departure day of Madrid is Day 10. The arrival day of Helsinki is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Helsinki.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Madrid to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 18 - 19).\n         |- The departure day of Helsinki is Day 14. The arrival day of Warsaw is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Split, Porto] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Helsinki to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 18 - 19).\n           |- The departure day of Geneva is Day 15. The arrival day of Warsaw is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Geneva].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Porto] and explore these options in order.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Geneva to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Geneva to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 18 - 19).\n             |- The departure day of Porto is Day 17. The arrival day of Warsaw is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Geneva, Porto].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Porto to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Helsinki to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 18 - 19).\n           |- The departure day of Split is Day 15. The arrival day of Warsaw is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Split].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Porto] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Split to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Warsaw (Day 18 - 19).\n             |- The departure day of Geneva is Day 16. The arrival day of Warsaw is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Split, Geneva].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Geneva to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 18 - 19).\n               |- The departure day of Porto is Day 18. The arrival day of Warsaw is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Split, Geneva, Porto].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Porto to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Santorini, Amsterdam, Reykjavik, Madrid, Helsinki, Split, Geneva, Porto, Warsaw].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Split.\n**Day 14-15:** Visit Split for 2 days.\n**Day 15:** Fly from Split to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Porto.\n**Day 16-18:** Visit Porto for 3 days.\n**Day 18:** Fly from Porto to Warsaw.\n**Day 18-19:** Visit Warsaw for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Brussels**Porto**Lisbon**Prague**Copenhagen**Santorini**Rome**Mykonos",
    "ground_truth_durations": "4**3**5**5**5**5**4**2**2",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 25,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 14,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Rome"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Brussels",
        "Copenhagen"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You plan to stay in Rome for 2 days. You have to attend a workshop in Rome between day 25 and day 26. You would like to visit Lisbon for 5 days. You would like to visit Mykonos for 2 days. You would like to visit Brussels for 3 days. You want to spend 4 days in Vilnius. You want to spend 5 days in Copenhagen. You plan to stay in Santorini for 4 days. You want to meet a friend in Santorini between day 22 and day 25. You would like to visit Prague for 5 days. You plan to visit relatives in Prague between day 14 and day 18.\n\nHere are the cities that have direct flights:\nCopenhagen and Rome, Santorini and Rome, Brussels and Prague, Porto and Lisbon, Brussels and Porto, Vilnius and Brussels, Porto and Copenhagen, Brussels and Lisbon, Lisbon and Copenhagen, Brussels and Rome, Lisbon and Prague, Copenhagen and Santorini, Prague and Rome, Rome and Mykonos, Brussels and Copenhagen, Prague and Copenhagen, Lisbon and Rome, Vilnius and Copenhagen.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You plan to stay in Rome for 2 days. You have to attend a workshop in Rome between day 25 and day 26. You would like to visit Lisbon for 5 days. You would like to visit Mykonos for 2 days. You would like to visit Brussels for 3 days. You want to spend 4 days in Vilnius. You want to spend 5 days in Copenhagen. You plan to stay in Santorini for 4 days. You want to meet a friend in Santorini between day 22 and day 25. You would like to visit Prague for 5 days. You plan to visit relatives in Prague between day 14 and day 18.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Rome, from Santorini to Rome, from Brussels to Prague, from Porto to Lisbon, from Brussels to Porto, from Vilnius to Brussels, from Porto to Copenhagen, from Brussels to Lisbon, from Lisbon to Copenhagen, from Brussels to Rome, from Lisbon to Prague, from Copenhagen to Santorini, from Prague to Rome, from Rome to Mykonos, from Brussels to Copenhagen, from Prague to Copenhagen, from Lisbon to Rome, from Vilnius to Copenhagen.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Porto.\n**Day 6-10:** Visit Porto for 5 days.\n**Day 10:** Fly from Porto to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Prague.\n**Day 14-18:** Visit Prague for 5 days.\n**Day 18:** Fly from Prague to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.\n**Day 22:** Fly from Copenhagen to Santorini.\n**Day 22-25:** Visit Santorini for 4 days.\n**Day 25:** Fly from Santorini to Rome.\n**Day 25-26:** Visit Rome for 2 days.\n**Day 26:** Fly from Rome to Mykonos.\n**Day 26-27:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1303",
    "estimated_output_tokens": 7823,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 25 - 26.\n* City: Lisbon, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 14 - 18.\n* City: Santorini, Fixed Schedule: Day 22 - 25.\n* City: Rome, Fixed Schedule: Day 25 - 26.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Lisbon, Mykonos, Brussels, Vilnius, Copenhagen] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 14 - 18).\n |- The departure day of Porto is Day 5. The arrival day of Prague is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Brussels, Vilnius, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 14 - 18).\n   |- The departure day of Lisbon is Day 9. The arrival day of Prague is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Lisbon].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Brussels, Vilnius, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Lisbon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Lisbon to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Lisbon to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Lisbon to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Prague (Day 14 - 18).\n     |- The departure day of Copenhagen is Day 13. The arrival day of Prague is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Porto, Lisbon, Copenhagen].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Brussels, Vilnius] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Copenhagen to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Copenhagen to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Porto to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Porto to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 14 - 18).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Prague is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Brussels, Vilnius] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Copenhagen to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Copenhagen to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Copenhagen to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 14 - 18).\n |- The departure day of Lisbon is Day 5. The arrival day of Prague is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Mykonos, Brussels, Vilnius, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lisbon to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lisbon to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lisbon to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lisbon to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 14 - 18).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Prague is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Lisbon, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Mykonos, Brussels, Vilnius] and explore these options in order.\n     |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Copenhagen to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Copenhagen to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Copenhagen to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 14 - 18).\n |- The departure day of Mykonos is Day 2. The arrival day of Prague is Day 14. Day 2 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Brussels, Vilnius, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 14 - 18).\n |- The departure day of Brussels is Day 3. The arrival day of Prague is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Mykonos, Vilnius, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 14 - 18).\n   |- The departure day of Porto is Day 7. The arrival day of Prague is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Porto].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Vilnius, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 14 - 18).\n     |- The departure day of Lisbon is Day 11. The arrival day of Prague is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Porto, Lisbon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Lisbon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lisbon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lisbon to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Prague (Day 14 - 18).\n       |- The departure day of Copenhagen is Day 15. The arrival day of Prague is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Porto to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Porto to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Porto to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 14 - 18).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Prague is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Porto, Copenhagen].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Vilnius] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Copenhagen to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Copenhagen to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 14 - 18).\n   |- The departure day of Lisbon is Day 7. The arrival day of Prague is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Mykonos, Vilnius, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Prague (Day 14 - 18).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Prague is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Brussels, Lisbon, Copenhagen].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Mykonos, Vilnius] and explore these options in order.\n       |- Try arranging to visit Porto from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Copenhagen to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Copenhagen to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Copenhagen to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Brussels to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Brussels to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 14 - 18).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Prague is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 14 - 18).\n |- The departure day of Vilnius is Day 4. The arrival day of Prague is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Mykonos, Brussels, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 14 - 18).\n   |- The departure day of Brussels is Day 6. The arrival day of Prague is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vilnius, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Lisbon, Mykonos, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 14 - 18).\n     |- The departure day of Porto is Day 10. The arrival day of Prague is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Brussels, Porto].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Mykonos, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Porto to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 14 - 18).\n       |- The departure day of Lisbon is Day 14. The arrival day of Prague is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Vilnius, Brussels, Porto, Lisbon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lisbon to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 25).\n         |- The departure day of Prague is Day 18. The arrival day of Santorini is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Vilnius, Brussels, Porto, Lisbon, Prague].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Prague to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Prague to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 22 - 25).\n           |- The departure day of Copenhagen is Day 22. The arrival day of Santorini is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Vilnius, Brussels, Porto, Lisbon, Prague, Copenhagen].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Copenhagen to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Rome (Day 25 - 26).\n             |- The departure day of Santorini is Day 25. The arrival day of Rome is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Vilnius, Brussels, Porto, Lisbon, Prague, Copenhagen, Santorini].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Rome.\n               |- Try arranging to visit Rome from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Santorini to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Vilnius, Brussels, Porto, Lisbon, Prague, Copenhagen, Santorini, Rome].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                 |- Check for direct flight from Rome to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Vilnius, Brussels, Porto, Lisbon, Prague, Copenhagen, Santorini, Rome, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Porto.\n**Day 6-10:** Visit Porto for 5 days.\n**Day 10:** Fly from Porto to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Prague.\n**Day 14-18:** Visit Prague for 5 days.\n**Day 18:** Fly from Prague to Copenhagen.\n**Day 18-22:** Visit Copenhagen for 5 days.\n**Day 22:** Fly from Copenhagen to Santorini.\n**Day 22-25:** Visit Santorini for 4 days.\n**Day 25:** Fly from Santorini to Rome.\n**Day 25-26:** Visit Rome for 2 days.\n**Day 26:** Fly from Rome to Mykonos.\n**Day 26-27:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Riga**Barcelona**Split**Krakow**Stuttgart**Budapest**Copenhagen**Hamburg",
    "ground_truth_durations": "2**3**2**5**2**5**2**5**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Copenhagen"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to spend 2 days in Budapest. You want to spend 3 days in Hamburg. You have to attend a workshop in Hamburg between day 19 and day 21. You plan to stay in Krakow for 2 days. You want to meet a friend in Krakow between day 9 and day 10. You want to spend 5 days in Split. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 2 and day 4. You plan to stay in Stuttgart for 5 days. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 15 and day 19 to tour together. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nBarcelona and Budapest, Barcelona and Split, Split and Hamburg, Edinburgh and Copenhagen, Riga and Barcelona, Budapest and Copenhagen, Edinburgh and Krakow, Edinburgh and Hamburg, Riga and Copenhagen, Copenhagen and Hamburg, Stuttgart and Copenhagen, Split and Krakow, Stuttgart and Hamburg, Barcelona and Copenhagen, Split and Copenhagen, Edinburgh and Budapest, Edinburgh and Stuttgart, Barcelona and Stuttgart, Budapest and Hamburg, Krakow and Stuttgart, Barcelona and Krakow, Edinburgh and Riga, Split and Stuttgart, Stuttgart and Budapest, Barcelona and Hamburg, Krakow and Copenhagen, from Riga to Hamburg, Edinburgh and Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Edinburgh. You want to spend 2 days in Budapest. You want to spend 3 days in Hamburg. You have to attend a workshop in Hamburg between day 19 and day 21. You plan to stay in Krakow for 2 days. You want to meet a friend in Krakow between day 9 and day 10. You want to spend 5 days in Split. You want to spend 3 days in Riga. You plan to visit relatives in Riga between day 2 and day 4. You plan to stay in Stuttgart for 5 days. You plan to stay in Copenhagen for 5 days. You would like to meet your friends at Copenhagen between day 15 and day 19 to tour together. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Budapest, from Barcelona to Split, from Split to Hamburg, from Edinburgh to Copenhagen, from Riga to Barcelona, from Budapest to Copenhagen, from Edinburgh to Krakow, from Edinburgh to Hamburg, from Riga to Copenhagen, from Copenhagen to Hamburg, from Stuttgart to Copenhagen, from Split to Krakow, from Stuttgart to Hamburg, from Barcelona to Copenhagen, from Split to Copenhagen, from Edinburgh to Budapest, from Edinburgh to Stuttgart, from Barcelona to Stuttgart, from Budapest to Hamburg, from Krakow to Stuttgart, from Barcelona to Krakow, from Edinburgh to Riga, from Split to Stuttgart, from Stuttgart to Budapest, from Barcelona to Hamburg, from Krakow to Copenhagen, from Riga to Hamburg, from Edinburgh to Barcelona.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.\n**Day 10:** Fly from Krakow to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Copenhagen.\n**Day 15-19:** Visit Copenhagen for 5 days.\n**Day 19:** Fly from Copenhagen to Hamburg.\n**Day 19-21:** Visit Hamburg for 3 days.",
    "id": "trip_planning_example_1304",
    "estimated_output_tokens": 2788,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Budapest, Duration: 2 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Split, Duration: 5 days.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Stuttgart, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 4.\n* City: Krakow, Fixed Schedule: Day 9 - 10.\n* City: Copenhagen, Fixed Schedule: Day 15 - 19.\n* City: Hamburg, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Budapest, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Budapest, Split, Stuttgart, Barcelona] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 4).\n |- The departure day of Edinburgh is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 9 - 10).\n   |- The departure day of Riga is Day 4. The arrival day of Krakow is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Split, Stuttgart, Barcelona] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Riga to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Riga to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 9 - 10).\n     |- The departure day of Barcelona is Day 5. The arrival day of Krakow is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Riga, Barcelona].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Split, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Barcelona to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 9 - 10).\n       |- The departure day of Budapest is Day 6. The arrival day of Krakow is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Edinburgh, Riga, Barcelona, Budapest].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Budapest to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Budapest to Stuttgart.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Barcelona to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 9 - 10).\n       |- The departure day of Split is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Riga, Barcelona, Split].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Split to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 15 - 19).\n         |- The departure day of Krakow is Day 10. The arrival day of Copenhagen is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Edinburgh, Riga, Barcelona, Split, Krakow].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Krakow to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Krakow to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 15 - 19).\n           |- The departure day of Stuttgart is Day 14. The arrival day of Copenhagen is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Edinburgh, Riga, Barcelona, Split, Krakow, Stuttgart].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Stuttgart to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Copenhagen (Day 15 - 19).\n             |- The departure day of Budapest is Day 15. The arrival day of Copenhagen is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Edinburgh, Riga, Barcelona, Split, Krakow, Stuttgart, Budapest].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Budapest to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 19 - 21).\n               |- The departure day of Copenhagen is Day 19. The arrival day of Hamburg is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Edinburgh, Riga, Barcelona, Split, Krakow, Stuttgart, Budapest, Copenhagen].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Copenhagen to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Edinburgh, Riga, Barcelona, Split, Krakow, Stuttgart, Budapest, Copenhagen, Hamburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Riga.\n**Day 2-4:** Visit Riga for 3 days.\n**Day 4:** Fly from Riga to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.\n**Day 10:** Fly from Krakow to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Copenhagen.\n**Day 15-19:** Visit Copenhagen for 5 days.\n**Day 19:** Fly from Copenhagen to Hamburg.\n**Day 19-21:** Visit Hamburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**London**Athens**Oslo**Vilnius**Paris**Valencia**Frankfurt**Salzburg",
    "ground_truth_durations": "4**2**4**3**4**3**5**5**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Paris",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. During day 4 and day 5, you have to attend a conference in London. You plan to stay in Frankfurt for 5 days. You want to spend 4 days in Salzburg. You would like to visit Athens for 4 days. You want to meet a friend in Athens between day 5 and day 8. You plan to stay in Valencia for 5 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4. You want to spend 4 days in Vilnius. From day 10 to day 13, there is a annual show you want to attend in Vilnius. You want to spend 3 days in Oslo. You would like to visit Paris for 3 days.\n\nHere are the cities that have direct flights:\nVilnius and Frankfurt, Lyon and Oslo, from Valencia to Athens, Valencia and Frankfurt, Lyon and Frankfurt, Athens and Vilnius, Vilnius and Paris, Lyon and Valencia, Athens and Paris, Lyon and Paris, London and Athens, Frankfurt and Salzburg, London and Oslo, Lyon and London, Oslo and Vilnius, Oslo and Paris, Athens and Oslo, Paris and Frankfurt, London and Valencia, Oslo and Frankfurt, Athens and Frankfurt, London and Frankfurt, London and Paris, Paris and Valencia.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in London. During day 4 and day 5, you have to attend a conference in London. You plan to stay in Frankfurt for 5 days. You want to spend 4 days in Salzburg. You would like to visit Athens for 4 days. You want to meet a friend in Athens between day 5 and day 8. You plan to stay in Valencia for 5 days. You plan to stay in Lyon for 4 days. You are going to attend a wedding in Lyon between day 1 and day 4. You want to spend 4 days in Vilnius. From day 10 to day 13, there is a annual show you want to attend in Vilnius. You want to spend 3 days in Oslo. You would like to visit Paris for 3 days.\n\nHere are the cities that have direct flights:\nfrom Vilnius to Frankfurt, from Lyon to Oslo, from Valencia to Athens, from Valencia to Frankfurt, from Lyon to Frankfurt, from Athens to Vilnius, from Vilnius to Paris, from Lyon to Valencia, from Athens to Paris, from Lyon to Paris, from London to Athens, from Frankfurt to Salzburg, from London to Oslo, from Lyon to London, from Oslo to Vilnius, from Oslo to Paris, from Athens to Oslo, from Paris to Frankfurt, from London to Valencia, from Oslo to Frankfurt, from Athens to Frankfurt, from London to Frankfurt, from London to Paris, from Paris to Valencia.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Vilnius.\n**Day 10-13:** Visit Vilnius for 4 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Salzburg.\n**Day 23-26:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1305",
    "estimated_output_tokens": 3531,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Frankfurt, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Oslo, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 4.\n* City: London, Fixed Schedule: Day 4 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Valencia, Duration: 5 days.\n* City: Oslo, Duration: 3 days.\n* City: Paris, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 5).\n |- The departure day of Lyon is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n   |- The departure day of London is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from London to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 10 - 13).\n     |- The departure day of Athens is Day 8. The arrival day of Vilnius is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, London, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Valencia, Oslo, Paris] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 13).\n       |- The departure day of Frankfurt is Day 12. The arrival day of Vilnius is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Athens to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 10 - 13).\n       |- The departure day of Oslo is Day 10. The arrival day of Vilnius is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, London, Athens, Oslo].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Oslo to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, London, Athens, Oslo, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Valencia, Paris] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vilnius to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Frankfurt].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Paris] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Frankfurt to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Frankfurt, Salzburg].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Paris] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Salzburg to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Paris from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Salzburg to Paris.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Frankfurt to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Paris from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Frankfurt to Paris.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Vilnius to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vilnius to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Vilnius to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Valencia] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Paris to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris, Frankfurt].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia] and explore these options in order.\n               |- Try arranging to visit Salzburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Frankfurt to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris, Frankfurt, Salzburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                 |- Try arranging to visit Valencia from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Salzburg to Valencia.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Valencia from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Frankfurt to Valencia.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Paris to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Paris to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris, Valencia].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Valencia to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris, Valencia, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Lyon, London, Athens, Oslo, Vilnius, Paris, Valencia, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to London.\n**Day 4-5:** Visit London for 2 days.\n**Day 5:** Fly from London to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Vilnius.\n**Day 10-13:** Visit Vilnius for 4 days.\n**Day 13:** Fly from Vilnius to Paris.\n**Day 13-15:** Visit Paris for 3 days.\n**Day 15:** Fly from Paris to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Salzburg.\n**Day 23-26:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Athens**Vilnius**Zurich**Budapest**Manchester**Bucharest**Prague**Tallinn",
    "ground_truth_durations": "5**5**2**4**5**3**5**2**4",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Budapest",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You would like to visit Bucharest for 5 days. From day 19 to day 23, there is a annual show you want to attend in Bucharest. You want to spend 5 days in Athens. You would like to meet your friends at Athens between day 5 and day 9 to tour together. You would like to visit Budapest for 5 days. During day 13 and day 17, you have to attend a conference in Budapest. You would like to visit Vilnius for 2 days. You plan to stay in Manchester for 3 days. You would like to visit Prague for 2 days. You would like to visit Zurich for 4 days. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 1 and day 5.\n\nHere are the cities that have direct flights:\nSantorini and Manchester, Athens and Bucharest, Manchester and Bucharest, Bucharest and Prague, Zurich and Manchester, from Tallinn to Vilnius, Zurich and Prague, Budapest and Bucharest, Zurich and Budapest, Athens and Manchester, Prague and Tallinn, Vilnius and Zurich, Athens and Prague, Athens and Zurich, Athens and Vilnius, Santorini and Zurich, Santorini and Athens, Budapest and Manchester, Zurich and Bucharest, Manchester and Prague, Santorini and Bucharest, Zurich and Tallinn, Budapest and Prague.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You would like to visit Bucharest for 5 days. From day 19 to day 23, there is a annual show you want to attend in Bucharest. You want to spend 5 days in Athens. You would like to meet your friends at Athens between day 5 and day 9 to tour together. You would like to visit Budapest for 5 days. During day 13 and day 17, you have to attend a conference in Budapest. You would like to visit Vilnius for 2 days. You plan to stay in Manchester for 3 days. You would like to visit Prague for 2 days. You would like to visit Zurich for 4 days. You plan to stay in Santorini for 5 days. You are going to attend a wedding in Santorini between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Santorini to Manchester, from Athens to Bucharest, from Manchester to Bucharest, from Bucharest to Prague, from Zurich to Manchester, from Tallinn to Vilnius, from Zurich to Prague, from Budapest to Bucharest, from Zurich to Budapest, from Athens to Manchester, from Prague to Tallinn, from Vilnius to Zurich, from Athens to Prague, from Athens to Zurich, from Athens to Vilnius, from Santorini to Zurich, from Santorini to Athens, from Budapest to Manchester, from Zurich to Bucharest, from Manchester to Prague, from Santorini to Bucharest, from Zurich to Tallinn, from Budapest to Prague.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n**Day 19:** Fly from Manchester to Bucharest.\n**Day 19-23:** Visit Bucharest for 5 days.\n**Day 23:** Fly from Bucharest to Prague.\n**Day 23-24:** Visit Prague for 2 days.\n**Day 24:** Fly from Prague to Tallinn.\n**Day 24-27:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1306",
    "estimated_output_tokens": 2559,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Vilnius, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Zurich, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 9.\n* City: Budapest, Fixed Schedule: Day 13 - 17.\n* City: Bucharest, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 9).\n |- The departure day of Santorini is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 13 - 17).\n   |- The departure day of Athens is Day 9. The arrival day of Budapest is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Santorini, Athens].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Manchester, Prague, Zurich] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Athens to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Athens to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 13 - 17).\n     |- The departure day of Vilnius is Day 10. The arrival day of Budapest is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Athens, Vilnius].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Prague, Zurich] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Vilnius to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vilnius to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vilnius to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Vilnius to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 17).\n       |- The departure day of Zurich is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Santorini, Athens, Vilnius, Zurich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Zurich to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 19 - 23).\n         |- The departure day of Budapest is Day 17. The arrival day of Bucharest is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Santorini, Athens, Vilnius, Zurich, Budapest].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Prague] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Budapest to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Budapest to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 19 - 23).\n           |- The departure day of Manchester is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Santorini, Athens, Vilnius, Zurich, Budapest, Manchester].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Manchester to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Santorini, Athens, Vilnius, Zurich, Budapest, Manchester, Bucharest].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Prague] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Bucharest to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Prague from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Bucharest to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Santorini, Athens, Vilnius, Zurich, Budapest, Manchester, Bucharest, Prague].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                 |- Check for direct flight from Prague to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Santorini, Athens, Vilnius, Zurich, Budapest, Manchester, Bucharest, Prague, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Athens.\n**Day 5-9:** Visit Athens for 5 days.\n**Day 9:** Fly from Athens to Vilnius.\n**Day 9-10:** Visit Vilnius for 2 days.\n**Day 10:** Fly from Vilnius to Zurich.\n**Day 10-13:** Visit Zurich for 4 days.\n**Day 13:** Fly from Zurich to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n**Day 19:** Fly from Manchester to Bucharest.\n**Day 19-23:** Visit Bucharest for 5 days.\n**Day 23:** Fly from Bucharest to Prague.\n**Day 23-24:** Visit Prague for 2 days.\n**Day 24:** Fly from Prague to Tallinn.\n**Day 24-27:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Istanbul**Lisbon**Milan**Copenhagen**Split**Lyon**Nice**Mykonos",
    "ground_truth_durations": "3**3**4**2**5**4**3**2**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You plan to stay in Split for 4 days. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 9 and day 13. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 1 and day 3. You want to spend 3 days in Istanbul. You would like to visit Lisbon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lisbon. You plan to stay in Mykonos for 4 days. You would like to visit Nice for 2 days. You plan to stay in Lyon for 3 days.\n\nHere are the cities that have direct flights:\nGeneva and Copenhagen, Milan and Copenhagen, Lisbon and Copenhagen, Geneva and Mykonos, Milan and Mykonos, Lisbon and Lyon, Lisbon and Nice, Nice and Mykonos, Copenhagen and Split, Istanbul and Lyon, Istanbul and Lisbon, Split and Lyon, Istanbul and Nice, Istanbul and Milan, Copenhagen and Nice, Geneva and Lisbon, Geneva and Split, Milan and Split, Lisbon and Milan, Geneva and Istanbul, Lyon and Nice, Istanbul and Copenhagen, Geneva and Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You plan to stay in Split for 4 days. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 9 and day 13. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 1 and day 3. You want to spend 3 days in Istanbul. You would like to visit Lisbon for 4 days. From day 5 to day 8, there is a annual show you want to attend in Lisbon. You plan to stay in Mykonos for 4 days. You would like to visit Nice for 2 days. You plan to stay in Lyon for 3 days.\n\nHere are the cities that have direct flights:\nfrom Geneva to Copenhagen, from Milan to Copenhagen, from Lisbon to Copenhagen, from Geneva to Mykonos, from Milan to Mykonos, from Lisbon to Lyon, from Lisbon to Nice, from Nice to Mykonos, from Copenhagen to Split, from Istanbul to Lyon, from Istanbul to Lisbon, from Split to Lyon, from Istanbul to Nice, from Istanbul to Milan, from Copenhagen to Nice, from Geneva to Lisbon, from Geneva to Split, from Milan to Split, from Lisbon to Milan, from Geneva to Istanbul, from Lyon to Nice, from Istanbul to Copenhagen, from Geneva to Nice.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Milan.\n**Day 8-9:** Visit Milan for 2 days.\n**Day 9:** Fly from Milan to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Split.\n**Day 13-16:** Visit Split for 4 days.\n**Day 16:** Fly from Split to Lyon.\n**Day 16-18:** Visit Lyon for 3 days.\n**Day 18:** Fly from Lyon to Nice.\n**Day 18-19:** Visit Nice for 2 days.\n**Day 19:** Fly from Nice to Mykonos.\n**Day 19-22:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1307",
    "estimated_output_tokens": 2430,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days.\n* City: Split, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Duration: 3 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 3.\n* City: Lisbon, Fixed Schedule: Day 5 - 8.\n* City: Copenhagen, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Split, Duration: 4 days.\n* City: Istanbul, Duration: 3 days.\n* City: Mykonos, Duration: 4 days.\n* City: Nice, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 8).\n |- The departure day of Geneva is Day 3. The arrival day of Lisbon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Split, Istanbul, Mykonos, Nice, Lyon] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Geneva to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Geneva to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 5 - 8).\n   |- The departure day of Split is Day 6. The arrival day of Lisbon is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 5 - 8).\n   |- The departure day of Istanbul is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 9 - 13).\n     |- The departure day of Lisbon is Day 8. The arrival day of Copenhagen is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Geneva, Istanbul, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Split, Mykonos, Nice, Lyon] and explore these options in order.\n       |- Try arranging to visit Milan from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 9 - 13).\n       |- The departure day of Milan is Day 9. The arrival day of Copenhagen is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Geneva, Istanbul, Lisbon, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Milan to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Geneva, Istanbul, Lisbon, Milan, Copenhagen].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Mykonos, Nice, Lyon] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Copenhagen to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Geneva, Istanbul, Lisbon, Milan, Copenhagen, Split].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice, Lyon] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Split to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Split to Nice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Split to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Geneva, Istanbul, Lisbon, Milan, Copenhagen, Split, Lyon].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Lyon to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Nice from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Lyon to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Geneva, Istanbul, Lisbon, Milan, Copenhagen, Split, Lyon, Nice].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Nice to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Geneva, Istanbul, Lisbon, Milan, Copenhagen, Split, Lyon, Nice, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Geneva and visit Geneva for 3 days.\n**Day 3:** Fly from Geneva to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Lisbon.\n**Day 5-8:** Visit Lisbon for 4 days.\n**Day 8:** Fly from Lisbon to Milan.\n**Day 8-9:** Visit Milan for 2 days.\n**Day 9:** Fly from Milan to Copenhagen.\n**Day 9-13:** Visit Copenhagen for 5 days.\n**Day 13:** Fly from Copenhagen to Split.\n**Day 13-16:** Visit Split for 4 days.\n**Day 16:** Fly from Split to Lyon.\n**Day 16-18:** Visit Lyon for 3 days.\n**Day 18:** Fly from Lyon to Nice.\n**Day 18-19:** Visit Nice for 2 days.\n**Day 19:** Fly from Nice to Mykonos.\n**Day 19-22:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Lisbon**Lyon**Rome**Split**Geneva**Copenhagen**Tallinn**Vilnius",
    "ground_truth_durations": "5**3**5**3**3**2**4**4**5",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Rome",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You want to spend 5 days in Lyon. You have to attend a workshop in Lyon between day 7 and day 11. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 13 and day 15. You would like to visit Lisbon for 3 days. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 15 and day 16. You would like to visit Vilnius for 5 days. You plan to stay in Tallinn for 4 days. You are going to attend a wedding in Tallinn between day 19 and day 22. You want to spend 5 days in Athens. You want to spend 3 days in Rome.\n\nHere are the cities that have direct flights:\nLisbon and Geneva, Split and Vilnius, Lyon and Rome, Split and Copenhagen, Athens and Split, Geneva and Copenhagen, Split and Geneva, Athens and Lisbon, Rome and Geneva, Copenhagen and Vilnius, Athens and Vilnius, Copenhagen and Tallinn, Lisbon and Lyon, Lisbon and Rome, Athens and Rome, Rome and Split, Athens and Copenhagen, from Tallinn to Vilnius, Lyon and Split, Lisbon and Copenhagen, Athens and Geneva, Rome and Copenhagen.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You want to spend 5 days in Lyon. You have to attend a workshop in Lyon between day 7 and day 11. You would like to visit Split for 3 days. You plan to visit relatives in Split between day 13 and day 15. You would like to visit Lisbon for 3 days. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 15 and day 16. You would like to visit Vilnius for 5 days. You plan to stay in Tallinn for 4 days. You are going to attend a wedding in Tallinn between day 19 and day 22. You want to spend 5 days in Athens. You want to spend 3 days in Rome.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Geneva, from Split to Vilnius, from Lyon to Rome, from Split to Copenhagen, from Athens to Split, from Geneva to Copenhagen, from Split to Geneva, from Athens to Lisbon, from Rome to Geneva, from Copenhagen to Vilnius, from Athens to Vilnius, from Copenhagen to Tallinn, from Lisbon to Lyon, from Lisbon to Rome, from Athens to Rome, from Rome to Split, from Athens to Copenhagen, from Tallinn to Vilnius, from Lyon to Split, from Lisbon to Copenhagen, from Athens to Geneva, from Rome to Copenhagen.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Copenhagen.\n**Day 16-19:** Visit Copenhagen for 4 days.\n**Day 19:** Fly from Copenhagen to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n**Day 22:** Fly from Tallinn to Vilnius.\n**Day 22-26:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1308",
    "estimated_output_tokens": 4480,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Lisbon, Duration: 3 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Vilnius, Duration: 5 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 7 - 11.\n* City: Split, Fixed Schedule: Day 13 - 15.\n* City: Geneva, Fixed Schedule: Day 15 - 16.\n* City: Tallinn, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Vilnius, Athens, Rome] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 11).\n |- The departure day of Copenhagen is Day 4. The arrival day of Lyon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Vilnius, Athens, Rome] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Copenhagen to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Copenhagen to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 7 - 11).\n   |- The departure day of Vilnius is Day 8. The arrival day of Lyon is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Copenhagen to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 11).\n |- The departure day of Lisbon is Day 3. The arrival day of Lyon is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius, Athens, Rome] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lisbon to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Lyon is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Athens, Rome] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 11).\n     |- The departure day of Vilnius is Day 10. The arrival day of Lyon is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Copenhagen to Rome.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lisbon to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 11).\n   |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lisbon, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius, Athens] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 7 - 11).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Lyon is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Athens.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 11).\n |- The departure day of Vilnius is Day 5. The arrival day of Lyon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Athens, Rome] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 11).\n |- The departure day of Athens is Day 5. The arrival day of Lyon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Lisbon, Vilnius, Rome] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 8. The arrival day of Lyon is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 7 - 11).\n   |- The departure day of Lisbon is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Athens, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 13 - 15).\n     |- The departure day of Lyon is Day 11. The arrival day of Split is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Athens, Lisbon, Lyon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius, Rome] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lyon to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lyon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 13 - 15).\n       |- The departure day of Rome is Day 13. The arrival day of Split is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Lisbon, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Split.\n         |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Rome to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 15 - 16).\n         |- The departure day of Split is Day 15. The arrival day of Geneva is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Lisbon, Lyon, Rome, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Split to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 19 - 22).\n           |- The departure day of Geneva is Day 16. The arrival day of Tallinn is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Athens, Lisbon, Lyon, Rome, Split, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Geneva to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 19 - 22).\n             |- The departure day of Copenhagen is Day 19. The arrival day of Tallinn is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Athens, Lisbon, Lyon, Rome, Split, Geneva, Copenhagen].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Copenhagen to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Athens, Lisbon, Lyon, Rome, Split, Geneva, Copenhagen, Tallinn].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Tallinn to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Athens, Lisbon, Lyon, Rome, Split, Geneva, Copenhagen, Tallinn, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Copenhagen.\n**Day 16-19:** Visit Copenhagen for 4 days.\n**Day 19:** Fly from Copenhagen to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n**Day 22:** Fly from Tallinn to Vilnius.\n**Day 22-26:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Istanbul**Vienna**Bucharest**Santorini**Copenhagen**Tallinn**Frankfurt**Stuttgart",
    "ground_truth_durations": "3**5**4**5**2**5**5**5**4",
    "num_cities": 9,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 27,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 14,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 4 days. You want to spend 5 days in Copenhagen. You want to spend 3 days in Venice. You plan to stay in Istanbul for 5 days. During day 3 and day 7, you have to attend a conference in Istanbul. You want to spend 5 days in Tallinn. You plan to stay in Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 27 and day 30. You want to spend 5 days in Frankfurt. You want to spend 5 days in Bucharest. You have to attend a workshop in Bucharest between day 10 and day 14. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 14 and day 15.\n\nHere are the cities that have direct flights:\nVenice and Stuttgart, Istanbul and Frankfurt, Copenhagen and Tallinn, Istanbul and Stuttgart, Venice and Vienna, Vienna and Bucharest, Istanbul and Copenhagen, Vienna and Frankfurt, Bucharest and Frankfurt, Venice and Copenhagen, from Istanbul to Tallinn, Bucharest and Copenhagen, Venice and Istanbul, Vienna and Copenhagen, Venice and Santorini, Istanbul and Vienna, Copenhagen and Stuttgart, Bucharest and Santorini, Venice and Frankfurt, Frankfurt and Stuttgart, Santorini and Copenhagen, Copenhagen and Frankfurt, Vienna and Santorini, Istanbul and Bucharest, Vienna and Stuttgart, Tallinn and Frankfurt.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 4 days. You want to spend 5 days in Copenhagen. You want to spend 3 days in Venice. You plan to stay in Istanbul for 5 days. During day 3 and day 7, you have to attend a conference in Istanbul. You want to spend 5 days in Tallinn. You plan to stay in Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 27 and day 30. You want to spend 5 days in Frankfurt. You want to spend 5 days in Bucharest. You have to attend a workshop in Bucharest between day 10 and day 14. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 14 and day 15.\n\nHere are the cities that have direct flights:\nfrom Venice to Stuttgart, from Istanbul to Frankfurt, from Copenhagen to Tallinn, from Istanbul to Stuttgart, from Venice to Vienna, from Vienna to Bucharest, from Istanbul to Copenhagen, from Vienna to Frankfurt, from Bucharest to Frankfurt, from Venice to Copenhagen, from Istanbul to Tallinn, from Bucharest to Copenhagen, from Venice to Istanbul, from Vienna to Copenhagen, from Venice to Santorini, from Istanbul to Vienna, from Copenhagen to Stuttgart, from Bucharest to Santorini, from Venice to Frankfurt, from Frankfurt to Stuttgart, from Santorini to Copenhagen, from Copenhagen to Frankfurt, from Vienna to Santorini, from Istanbul to Bucharest, from Vienna to Stuttgart, from Tallinn to Frankfurt.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 30 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Copenhagen.\n**Day 15-19:** Visit Copenhagen for 5 days.\n**Day 19:** Fly from Copenhagen to Tallinn.\n**Day 19-23:** Visit Tallinn for 5 days.\n**Day 23:** Fly from Tallinn to Frankfurt.\n**Day 23-27:** Visit Frankfurt for 5 days.\n**Day 27:** Fly from Frankfurt to Stuttgart.\n**Day 27-30:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1309",
    "estimated_output_tokens": 2537,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Tallinn, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 27 - 30.\n* City: Frankfurt, Duration: 5 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 3 - 7.\n* City: Bucharest, Fixed Schedule: Day 10 - 14.\n* City: Santorini, Fixed Schedule: Day 14 - 15.\n* City: Stuttgart, Fixed Schedule: Day 27 - 30.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Copenhagen, Venice, Tallinn, Frankfurt] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 7).\n |- The departure day of Vienna is Day 4. The arrival day of Istanbul is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 7).\n |- The departure day of Copenhagen is Day 5. The arrival day of Istanbul is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 3 - 7).\n |- The departure day of Venice is Day 3. The arrival day of Istanbul is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 10 - 14).\n   |- The departure day of Istanbul is Day 7. The arrival day of Bucharest is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Copenhagen, Tallinn, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 10 - 14).\n     |- The departure day of Vienna is Day 10. The arrival day of Bucharest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Istanbul, Vienna].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vienna to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 14 - 15).\n       |- The departure day of Bucharest is Day 14. The arrival day of Santorini is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Venice, Istanbul, Vienna, Bucharest].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 27 - 30).\n         |- The departure day of Santorini is Day 15. The arrival day of Stuttgart is Day 27. Day 15 is not later than (<=) Day 27. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Venice, Istanbul, Vienna, Bucharest, Santorini].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Santorini to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 27 - 30).\n           |- The departure day of Copenhagen is Day 19. The arrival day of Stuttgart is Day 27. Day 19 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Venice, Istanbul, Vienna, Bucharest, Santorini, Copenhagen].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Copenhagen to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 27 - 30).\n             |- The departure day of Tallinn is Day 23. The arrival day of Stuttgart is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Venice, Istanbul, Vienna, Bucharest, Santorini, Copenhagen, Tallinn].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Tallinn to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Stuttgart (Day 27 - 30).\n               |- The departure day of Frankfurt is Day 27. The arrival day of Stuttgart is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Venice, Istanbul, Vienna, Bucharest, Santorini, Copenhagen, Tallinn, Frankfurt].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- Yes. The city with an arrival day of Day 27 - is fixed: Stuttgart.\n                 |- Try arranging to visit Stuttgart from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n                 |- Check for direct flight from Frankfurt to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Venice, Istanbul, Vienna, Bucharest, Santorini, Copenhagen, Tallinn, Frankfurt, Stuttgart].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Vienna.\n**Day 7-10:** Visit Vienna for 4 days.\n**Day 10:** Fly from Vienna to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Copenhagen.\n**Day 15-19:** Visit Copenhagen for 5 days.\n**Day 19:** Fly from Copenhagen to Tallinn.\n**Day 19-23:** Visit Tallinn for 5 days.\n**Day 23:** Fly from Tallinn to Frankfurt.\n**Day 23-27:** Visit Frankfurt for 5 days.\n**Day 27:** Fly from Frankfurt to Stuttgart.\n**Day 27-30:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Stockholm**Dubrovnik**Naples**Valencia**Brussels**Paris**Split**Stuttgart",
    "ground_truth_durations": "5**4**5**2**2**5**3**5**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 24,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Brussels",
        "Paris"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You plan to stay in Stuttgart for 2 days. From day 24 to day 25, there is a annual show you want to attend in Stuttgart. You want to spend 5 days in Brussels. You have to attend a workshop in Brussels between day 14 and day 18. You would like to visit Naples for 2 days. You want to spend 5 days in Split. You want to spend 4 days in Stockholm. You plan to stay in Vienna for 5 days. You plan to visit relatives in Vienna between day 1 and day 5. You would like to visit Valencia for 2 days. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nStockholm and Stuttgart, Stockholm and Brussels, Valencia and Paris, Split and Stuttgart, Stockholm and Split, Paris and Stuttgart, Stockholm and Dubrovnik, Vienna and Split, Vienna and Valencia, Valencia and Brussels, Paris and Split, Vienna and Stockholm, Vienna and Brussels, Dubrovnik and Naples, Vienna and Naples, Naples and Split, Brussels and Paris, Vienna and Dubrovnik, Naples and Brussels, Vienna and Paris, Stockholm and Paris, Valencia and Stuttgart, Naples and Valencia, Vienna and Stuttgart, Naples and Paris, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. You plan to stay in Stuttgart for 2 days. From day 24 to day 25, there is a annual show you want to attend in Stuttgart. You want to spend 5 days in Brussels. You have to attend a workshop in Brussels between day 14 and day 18. You would like to visit Naples for 2 days. You want to spend 5 days in Split. You want to spend 4 days in Stockholm. You plan to stay in Vienna for 5 days. You plan to visit relatives in Vienna between day 1 and day 5. You would like to visit Valencia for 2 days. You want to spend 5 days in Dubrovnik. You would like to meet your friends at Dubrovnik between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Stuttgart, from Stockholm to Brussels, from Valencia to Paris, from Split to Stuttgart, from Stockholm to Split, from Paris to Stuttgart, from Stockholm to Dubrovnik, from Vienna to Split, from Vienna to Valencia, from Valencia to Brussels, from Paris to Split, from Vienna to Stockholm, from Vienna to Brussels, from Dubrovnik to Naples, from Vienna to Naples, from Naples to Split, from Brussels to Paris, from Vienna to Dubrovnik, from Naples to Brussels, from Vienna to Paris, from Stockholm to Paris, from Valencia to Stuttgart, from Naples to Valencia, from Vienna to Stuttgart, from Naples to Paris, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Stockholm.\n**Day 5-8:** Visit Stockholm for 4 days.\n**Day 8:** Fly from Stockholm to Dubrovnik.\n**Day 8-12:** Visit Dubrovnik for 5 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-13:** Visit Naples for 2 days.\n**Day 13:** Fly from Naples to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Brussels.\n**Day 14-18:** Visit Brussels for 5 days.\n**Day 18:** Fly from Brussels to Paris.\n**Day 18-20:** Visit Paris for 3 days.\n**Day 20:** Fly from Paris to Split.\n**Day 20-24:** Visit Split for 5 days.\n**Day 24:** Fly from Split to Stuttgart.\n**Day 24-25:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_1310",
    "estimated_output_tokens": 4206,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Naples, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 8 - 12.\n* City: Brussels, Fixed Schedule: Day 14 - 18.\n* City: Stuttgart, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 8 - 12).\n |- The departure day of Vienna is Day 5. The arrival day of Dubrovnik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Naples, Split, Stockholm, Valencia] and explore these options in order.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vienna to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 12).\n   |- The departure day of Paris is Day 7. The arrival day of Dubrovnik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vienna, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Split, Stockholm, Valencia] and explore these options in order.\n     |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 8 - 12).\n     |- The departure day of Split is Day 11. The arrival day of Dubrovnik is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Vienna to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 12).\n   |- The departure day of Naples is Day 6. The arrival day of Dubrovnik is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Split, Stockholm, Valencia] and explore these options in order.\n     |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Naples to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 8 - 12).\n     |- The departure day of Paris is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Naples, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Paris to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 8 - 12).\n     |- The departure day of Split is Day 10. The arrival day of Dubrovnik is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Naples to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 8 - 12).\n     |- The departure day of Valencia is Day 7. The arrival day of Dubrovnik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Naples, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Split, Stockholm] and explore these options in order.\n       |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Valencia to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 8 - 12).\n       |- The departure day of Paris is Day 9. The arrival day of Dubrovnik is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Valencia to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 12).\n   |- The departure day of Split is Day 9. The arrival day of Dubrovnik is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vienna to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 12).\n   |- The departure day of Stockholm is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Stockholm].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 14 - 18).\n     |- The departure day of Dubrovnik is Day 12. The arrival day of Brussels is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Naples, Split, Valencia] and explore these options in order.\n       |- Try arranging to visit Paris from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 14 - 18).\n       |- The departure day of Naples is Day 13. The arrival day of Brussels is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Vienna, Stockholm, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Split, Valencia] and explore these options in order.\n         |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 14 - 18).\n         |- The departure day of Paris is Day 15. The arrival day of Brussels is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 14 - 18).\n         |- The departure day of Split is Day 17. The arrival day of Brussels is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 14 - 18).\n         |- The departure day of Valencia is Day 14. The arrival day of Brussels is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Stockholm, Dubrovnik, Naples, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Brussels.\n           |- Try arranging to visit Brussels from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 24 - 25).\n           |- The departure day of Brussels is Day 18. The arrival day of Stuttgart is Day 24. Day 18 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Vienna, Stockholm, Dubrovnik, Naples, Valencia, Brussels].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Paris, Split] and explore these options in order.\n             |- Try arranging to visit Paris from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Brussels to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Stuttgart (Day 24 - 25).\n             |- The departure day of Paris is Day 20. The arrival day of Stuttgart is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Vienna, Stockholm, Dubrovnik, Naples, Valencia, Brussels, Paris].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Paris to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Stuttgart (Day 24 - 25).\n               |- The departure day of Split is Day 24. The arrival day of Stuttgart is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Vienna, Stockholm, Dubrovnik, Naples, Valencia, Brussels, Paris, Split].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Stuttgart.\n                 |- Try arranging to visit Stuttgart from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Split to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Vienna, Stockholm, Dubrovnik, Naples, Valencia, Brussels, Paris, Split, Stuttgart].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Stockholm.\n**Day 5-8:** Visit Stockholm for 4 days.\n**Day 8:** Fly from Stockholm to Dubrovnik.\n**Day 8-12:** Visit Dubrovnik for 5 days.\n**Day 12:** Fly from Dubrovnik to Naples.\n**Day 12-13:** Visit Naples for 2 days.\n**Day 13:** Fly from Naples to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Brussels.\n**Day 14-18:** Visit Brussels for 5 days.\n**Day 18:** Fly from Brussels to Paris.\n**Day 18-20:** Visit Paris for 3 days.\n**Day 20:** Fly from Paris to Split.\n**Day 20-24:** Visit Split for 5 days.\n**Day 24:** Fly from Split to Stuttgart.\n**Day 24-25:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Porto**Milan**Santorini**Venice**Naples**Athens**Riga**Tallinn",
    "ground_truth_durations": "2**3**3**2**3**3**3**2**4",
    "num_cities": 9,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Athens"
      ],
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Edinburgh",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 3 days. You have to attend a workshop in Athens between day 11 and day 13. You plan to stay in Edinburgh for 2 days. You want to meet a friend in Edinburgh between day 1 and day 2. You want to spend 3 days in Venice. You want to spend 3 days in Naples. You plan to visit relatives in Naples between day 9 and day 11. You plan to stay in Milan for 3 days. You plan to stay in Riga for 2 days. You plan to stay in Tallinn for 4 days. During day 14 and day 17, you have to attend a conference in Tallinn. You would like to visit Porto for 3 days. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nSantorini and Athens, Edinburgh and Athens, Edinburgh and Riga, Venice and Naples, Milan and Naples, Santorini and Venice, Porto and Milan, from Athens to Riga, Milan and Riga, from Riga to Tallinn, Naples and Athens, Edinburgh and Milan, Venice and Athens, Santorini and Naples, Milan and Athens, Milan and Santorini, Edinburgh and Venice, Edinburgh and Porto.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You plan to stay in Athens for 3 days. You have to attend a workshop in Athens between day 11 and day 13. You plan to stay in Edinburgh for 2 days. You want to meet a friend in Edinburgh between day 1 and day 2. You want to spend 3 days in Venice. You want to spend 3 days in Naples. You plan to visit relatives in Naples between day 9 and day 11. You plan to stay in Milan for 3 days. You plan to stay in Riga for 2 days. You plan to stay in Tallinn for 4 days. During day 14 and day 17, you have to attend a conference in Tallinn. You would like to visit Porto for 3 days. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Athens, from Edinburgh to Athens, from Edinburgh to Riga, from Venice to Naples, from Milan to Naples, from Santorini to Venice, from Porto to Milan, from Athens to Riga, from Milan to Riga, from Riga to Tallinn, from Naples to Athens, from Edinburgh to Milan, from Venice to Athens, from Santorini to Naples, from Milan to Athens, from Milan to Santorini, from Edinburgh to Venice, from Edinburgh to Porto.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 17 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Porto.\n**Day 2-4:** Visit Porto for 3 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1311",
    "estimated_output_tokens": 4834,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 3 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Milan, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Porto, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Naples, Fixed Schedule: Day 9 - 11.\n* City: Athens, Fixed Schedule: Day 11 - 13.\n* City: Tallinn, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 9 - 11).\n |- The departure day of Edinburgh is Day 2. The arrival day of Naples is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Riga, Porto, Santorini] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 9 - 11).\n   |- The departure day of Venice is Day 4. The arrival day of Naples is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Venice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Riga, Porto, Santorini] and explore these options in order.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Venice to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Venice to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Venice to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Venice to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 9 - 11).\n   |- The departure day of Milan is Day 4. The arrival day of Naples is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Porto, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 9 - 11).\n     |- The departure day of Riga is Day 5. The arrival day of Naples is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Milan, Riga].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Porto, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Riga to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Riga to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 9 - 11).\n     |- The departure day of Santorini is Day 5. The arrival day of Naples is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Porto] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Santorini to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 9 - 11).\n       |- The departure day of Venice is Day 7. The arrival day of Naples is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Edinburgh, Milan, Santorini, Venice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Porto] and explore these options in order.\n         |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Venice to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Venice to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Santorini to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Santorini to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 9 - 11).\n   |- The departure day of Riga is Day 3. The arrival day of Naples is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Porto, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Riga to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 9 - 11).\n   |- The departure day of Porto is Day 4. The arrival day of Naples is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Milan, Riga, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Porto to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Porto to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 9 - 11).\n     |- The departure day of Milan is Day 6. The arrival day of Naples is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Edinburgh, Porto, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Milan to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Milan to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 9 - 11).\n       |- The departure day of Riga is Day 7. The arrival day of Naples is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Edinburgh, Porto, Milan, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Riga to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Riga to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Milan to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 9 - 11).\n       |- The departure day of Santorini is Day 7. The arrival day of Naples is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Edinburgh, Porto, Milan, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Riga] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 9 - 11).\n         |- The departure day of Venice is Day 9. The arrival day of Naples is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Edinburgh, Porto, Milan, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Venice to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 11 - 13).\n           |- The departure day of Naples is Day 11. The arrival day of Athens is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Edinburgh, Porto, Milan, Santorini, Venice, Naples].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Naples to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 14 - 17).\n             |- The departure day of Athens is Day 13. The arrival day of Tallinn is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Edinburgh, Porto, Milan, Santorini, Venice, Naples, Athens].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n               |- Check for direct flight from Athens to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 14 - 17).\n               |- The departure day of Riga is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 14. Current plan: [Edinburgh, Porto, Milan, Santorini, Venice, Naples, Athens, Riga].\n                |- Check whether the city with an arrival day of Day 14 - is fixed.\n                |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n                 |- Check for direct flight from Riga to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Edinburgh, Porto, Milan, Santorini, Venice, Naples, Athens, Riga, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Porto.\n**Day 2-4:** Visit Porto for 3 days.\n**Day 4:** Fly from Porto to Milan.\n**Day 4-6:** Visit Milan for 3 days.\n**Day 6:** Fly from Milan to Santorini.\n**Day 6-7:** Visit Santorini for 2 days.\n**Day 7:** Fly from Santorini to Venice.\n**Day 7-9:** Visit Venice for 3 days.\n**Day 9:** Fly from Venice to Naples.\n**Day 9-11:** Visit Naples for 3 days.\n**Day 11:** Fly from Naples to Athens.\n**Day 11-13:** Visit Athens for 3 days.\n**Day 13:** Fly from Athens to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Seville**Edinburgh**Krakow**Split**Amsterdam**Santorini**Copenhagen**Tallinn",
    "ground_truth_durations": "2**5**3**4**4**2**3**5**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You would like to meet your friends at Seville between day 2 and day 6 to tour together. You want to spend 2 days in Amsterdam. You want to spend 3 days in Edinburgh. You want to spend 5 days in Copenhagen. You plan to visit relatives in Copenhagen between day 17 and day 21. You would like to visit Krakow for 4 days. You want to spend 2 days in Porto. You are going to attend a wedding in Porto between day 1 and day 2. You would like to visit Tallinn for 5 days. During day 21 and day 25, you have to attend a conference in Tallinn. You would like to visit Santorini for 3 days. You would like to visit Split for 4 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Tallinn, Edinburgh and Krakow, Santorini and Copenhagen, Split and Amsterdam, Seville and Amsterdam, Porto and Edinburgh, Split and Copenhagen, Copenhagen and Tallinn, Krakow and Split, Edinburgh and Copenhagen, Porto and Amsterdam, Seville and Edinburgh, Krakow and Copenhagen, Amsterdam and Santorini, Porto and Seville, Edinburgh and Amsterdam, Krakow and Amsterdam, Amsterdam and Copenhagen, Porto and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 5 days. You would like to meet your friends at Seville between day 2 and day 6 to tour together. You want to spend 2 days in Amsterdam. You want to spend 3 days in Edinburgh. You want to spend 5 days in Copenhagen. You plan to visit relatives in Copenhagen between day 17 and day 21. You would like to visit Krakow for 4 days. You want to spend 2 days in Porto. You are going to attend a wedding in Porto between day 1 and day 2. You would like to visit Tallinn for 5 days. During day 21 and day 25, you have to attend a conference in Tallinn. You would like to visit Santorini for 3 days. You would like to visit Split for 4 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Tallinn, from Edinburgh to Krakow, from Santorini to Copenhagen, from Split to Amsterdam, from Seville to Amsterdam, from Porto to Edinburgh, from Split to Copenhagen, from Copenhagen to Tallinn, from Krakow to Split, from Edinburgh to Copenhagen, from Porto to Amsterdam, from Seville to Edinburgh, from Krakow to Copenhagen, from Amsterdam to Santorini, from Porto to Seville, from Edinburgh to Amsterdam, from Krakow to Amsterdam, from Amsterdam to Copenhagen, from Porto to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Seville.\n**Day 2-6:** Visit Seville for 5 days.\n**Day 6:** Fly from Seville to Edinburgh.\n**Day 6-8:** Visit Edinburgh for 3 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.\n**Day 17:** Fly from Santorini to Copenhagen.\n**Day 17-21:** Visit Copenhagen for 5 days.\n**Day 21:** Fly from Copenhagen to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1312",
    "estimated_output_tokens": 4278,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Amsterdam, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Krakow, Duration: 4 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Santorini, Duration: 3 days.\n* City: Split, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Seville, Fixed Schedule: Day 2 - 6.\n* City: Copenhagen, Fixed Schedule: Day 17 - 21.\n* City: Tallinn, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Split, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 2 - 6).\n |- The departure day of Porto is Day 2. The arrival day of Seville is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 17 - 21).\n   |- The departure day of Seville is Day 6. The arrival day of Copenhagen is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Edinburgh, Krakow, Santorini, Split] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 17 - 21).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Copenhagen is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Porto, Seville, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Krakow, Santorini, Split] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 17 - 21).\n       |- The departure day of Santorini is Day 9. The arrival day of Copenhagen is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Seville, Amsterdam, Santorini].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Krakow, Split] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Santorini to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Santorini to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Santorini to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Seville to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 17 - 21).\n     |- The departure day of Edinburgh is Day 8. The arrival day of Copenhagen is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Seville, Edinburgh].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Krakow, Santorini, Split] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Edinburgh to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 17 - 21).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Copenhagen is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Seville, Edinburgh, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Santorini, Split] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Amsterdam to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 17 - 21).\n         |- The departure day of Santorini is Day 11. The arrival day of Copenhagen is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Porto, Seville, Edinburgh, Amsterdam, Santorini].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Split] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Santorini to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Santorini to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Amsterdam to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 17 - 21).\n       |- The departure day of Krakow is Day 11. The arrival day of Copenhagen is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Seville, Edinburgh, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini, Split] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Krakow to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 17 - 21).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Copenhagen is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Porto, Seville, Edinburgh, Krakow, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Split] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Amsterdam to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Copenhagen (Day 17 - 21).\n           |- The departure day of Santorini is Day 14. The arrival day of Copenhagen is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Porto, Seville, Edinburgh, Krakow, Amsterdam, Santorini].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Santorini to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Krakow to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Krakow to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 17 - 21).\n         |- The departure day of Split is Day 14. The arrival day of Copenhagen is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Seville, Edinburgh, Krakow, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Santorini] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Split to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Copenhagen (Day 17 - 21).\n           |- The departure day of Amsterdam is Day 15. The arrival day of Copenhagen is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Porto, Seville, Edinburgh, Krakow, Split, Amsterdam].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Amsterdam to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Copenhagen (Day 17 - 21).\n             |- The departure day of Santorini is Day 17. The arrival day of Copenhagen is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Porto, Seville, Edinburgh, Krakow, Split, Amsterdam, Santorini].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Santorini to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 21 - 25).\n               |- The departure day of Copenhagen is Day 21. The arrival day of Tallinn is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Porto, Seville, Edinburgh, Krakow, Split, Amsterdam, Santorini, Copenhagen].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Copenhagen to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Porto, Seville, Edinburgh, Krakow, Split, Amsterdam, Santorini, Copenhagen, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Seville.\n**Day 2-6:** Visit Seville for 5 days.\n**Day 6:** Fly from Seville to Edinburgh.\n**Day 6-8:** Visit Edinburgh for 3 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-11:** Visit Krakow for 4 days.\n**Day 11:** Fly from Krakow to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Santorini.\n**Day 15-17:** Visit Santorini for 3 days.\n**Day 17:** Fly from Santorini to Copenhagen.\n**Day 17-21:** Visit Copenhagen for 5 days.\n**Day 21:** Fly from Copenhagen to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Budapest**Istanbul**Lyon**Lisbon**Seville**Manchester**Stuttgart**Valencia",
    "ground_truth_durations": "2**3**2**5**2**2**2**5**4",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Budapest",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Budapest",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. During day 16 and day 19, you have to attend a conference in Valencia. You want to spend 3 days in Budapest. You would like to visit Manchester for 2 days. You would like to visit Lisbon for 2 days. You have to attend a workshop in Lisbon between day 9 and day 10. You would like to visit Lyon for 5 days. You would like to visit Stuttgart for 5 days. You would like to visit Seville for 2 days. You are going to attend a wedding in Seville between day 10 and day 11. You would like to visit Edinburgh for 2 days. You plan to visit relatives in Edinburgh between day 1 and day 2. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Stuttgart, Seville and Manchester, Lisbon and Manchester, Istanbul and Stuttgart, Edinburgh and Budapest, Lyon and Valencia, Budapest and Istanbul, Edinburgh and Seville, Istanbul and Lyon, Lyon and Lisbon, Stuttgart and Valencia, Lisbon and Valencia, Istanbul and Lisbon, Edinburgh and Istanbul, Budapest and Lisbon, Edinburgh and Stuttgart, Manchester and Stuttgart, Budapest and Stuttgart, Istanbul and Valencia, Seville and Valencia, Istanbul and Manchester, Lisbon and Seville, Budapest and Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Valencia. During day 16 and day 19, you have to attend a conference in Valencia. You want to spend 3 days in Budapest. You would like to visit Manchester for 2 days. You would like to visit Lisbon for 2 days. You have to attend a workshop in Lisbon between day 9 and day 10. You would like to visit Lyon for 5 days. You would like to visit Stuttgart for 5 days. You would like to visit Seville for 2 days. You are going to attend a wedding in Seville between day 10 and day 11. You would like to visit Edinburgh for 2 days. You plan to visit relatives in Edinburgh between day 1 and day 2. You would like to visit Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Stuttgart, from Seville to Manchester, from Lisbon to Manchester, from Istanbul to Stuttgart, from Edinburgh to Budapest, from Lyon to Valencia, from Budapest to Istanbul, from Edinburgh to Seville, from Istanbul to Lyon, from Lyon to Lisbon, from Stuttgart to Valencia, from Lisbon to Valencia, from Istanbul to Lisbon, from Edinburgh to Istanbul, from Budapest to Lisbon, from Edinburgh to Stuttgart, from Manchester to Stuttgart, from Budapest to Stuttgart, from Istanbul to Valencia, from Seville to Valencia, from Istanbul to Manchester, from Lisbon to Seville, from Budapest to Manchester.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-10:** Visit Lisbon for 2 days.\n**Day 10:** Fly from Lisbon to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Manchester.\n**Day 11-12:** Visit Manchester for 2 days.\n**Day 12:** Fly from Manchester to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n**Day 16:** Fly from Stuttgart to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_1313",
    "estimated_output_tokens": 3585,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Budapest, Duration: 3 days.\n* City: Manchester, Duration: 2 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Lyon, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 9 - 10.\n* City: Seville, Fixed Schedule: Day 10 - 11.\n* City: Valencia, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Budapest, Duration: 3 days.\n* City: Manchester, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 9 - 10).\n |- The departure day of Edinburgh is Day 2. The arrival day of Lisbon is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Lyon, Stuttgart, Istanbul] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 9 - 10).\n   |- The departure day of Budapest is Day 4. The arrival day of Lisbon is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon, Stuttgart, Istanbul] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Budapest to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 10).\n     |- The departure day of Manchester is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Budapest, Manchester].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Stuttgart, Istanbul] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Manchester to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 10).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Budapest, Manchester, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Stuttgart to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Manchester to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Budapest to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Budapest to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 10).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Lisbon is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Budapest, Stuttgart].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon, Istanbul] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Stuttgart to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Stuttgart to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Budapest to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 10).\n     |- The departure day of Istanbul is Day 5. The arrival day of Lisbon is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Edinburgh, Budapest, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Istanbul to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 10).\n       |- The departure day of Manchester is Day 6. The arrival day of Lisbon is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Edinburgh, Budapest, Istanbul, Manchester].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Manchester to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Manchester to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 9 - 10).\n         |- The departure day of Stuttgart is Day 10. The arrival day of Lisbon is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Istanbul to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 9 - 10).\n       |- The departure day of Lyon is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Budapest, Istanbul, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lyon to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 10 - 11).\n         |- The departure day of Lisbon is Day 10. The arrival day of Seville is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Edinburgh, Budapest, Istanbul, Lyon, Lisbon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Lisbon to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 16 - 19).\n           |- The departure day of Seville is Day 11. The arrival day of Valencia is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Edinburgh, Budapest, Istanbul, Lyon, Lisbon, Seville].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Seville to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 16 - 19).\n             |- The departure day of Manchester is Day 12. The arrival day of Valencia is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Edinburgh, Budapest, Istanbul, Lyon, Lisbon, Seville, Manchester].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from Manchester to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 16 - 19).\n               |- The departure day of Stuttgart is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Edinburgh, Budapest, Istanbul, Lyon, Lisbon, Seville, Manchester, Stuttgart].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n                 |- Try arranging to visit Valencia from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Stuttgart to Valencia.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Edinburgh, Budapest, Istanbul, Lyon, Lisbon, Seville, Manchester, Stuttgart, Valencia].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Budapest.\n**Day 2-4:** Visit Budapest for 3 days.\n**Day 4:** Fly from Budapest to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-10:** Visit Lisbon for 2 days.\n**Day 10:** Fly from Lisbon to Seville.\n**Day 10-11:** Visit Seville for 2 days.\n**Day 11:** Fly from Seville to Manchester.\n**Day 11-12:** Visit Manchester for 2 days.\n**Day 12:** Fly from Manchester to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n**Day 16:** Fly from Stuttgart to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Manchester**Split**Munich**Valencia**Athens**Edinburgh**Frankfurt**Florence",
    "ground_truth_durations": "4**2**5**5**4**3**5**2**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Split"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Athens"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Valencia",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 5 days. You want to spend 5 days in Munich. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 4 and day 5. You plan to stay in Frankfurt for 2 days. You plan to stay in Valencia for 4 days. You plan to stay in Florence for 4 days. You want to spend 3 days in Athens. You have to attend a workshop in Athens between day 16 and day 18. You plan to stay in Split for 5 days. You would like to meet your friends at Split between day 5 and day 9 to tour together. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, Venice and Manchester, Split and Frankfurt, Valencia and Frankfurt, Manchester and Athens, Edinburgh and Frankfurt, Munich and Edinburgh, Venice and Edinburgh, Split and Munich, Munich and Athens, Munich and Frankfurt, Venice and Munich, Athens and Edinburgh, Split and Athens, Venice and Frankfurt, Manchester and Munich, Manchester and Frankfurt, Venice and Athens, Munich and Valencia, Athens and Frankfurt, Frankfurt and Florence, from Florence to Munich, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Edinburgh for 5 days. You want to spend 5 days in Munich. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 4 and day 5. You plan to stay in Frankfurt for 2 days. You plan to stay in Valencia for 4 days. You plan to stay in Florence for 4 days. You want to spend 3 days in Athens. You have to attend a workshop in Athens between day 16 and day 18. You plan to stay in Split for 5 days. You would like to meet your friends at Split between day 5 and day 9 to tour together. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, from Venice to Manchester, from Split to Frankfurt, from Valencia to Frankfurt, from Manchester to Athens, from Edinburgh to Frankfurt, from Munich to Edinburgh, from Venice to Edinburgh, from Split to Munich, from Munich to Athens, from Munich to Frankfurt, from Venice to Munich, from Athens to Edinburgh, from Split to Athens, from Venice to Frankfurt, from Manchester to Munich, from Manchester to Frankfurt, from Venice to Athens, from Munich to Valencia, from Athens to Frankfurt, from Frankfurt to Florence, from Florence to Munich, from Valencia to Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Manchester.\n**Day 4-5:** Visit Manchester for 2 days.\n**Day 5:** Fly from Manchester to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Edinburgh.\n**Day 18-22:** Visit Edinburgh for 5 days.\n**Day 22:** Fly from Edinburgh to Frankfurt.\n**Day 22-23:** Visit Frankfurt for 2 days.\n**Day 23:** Fly from Frankfurt to Florence.\n**Day 23-26:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1314",
    "estimated_output_tokens": 3926,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Frankfurt, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 4 - 5.\n* City: Split, Fixed Schedule: Day 5 - 9.\n* City: Athens, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Munich, Frankfurt, Valencia, Florence, Venice] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Edinburgh is Day 5. The arrival day of Manchester is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Munich is Day 5. The arrival day of Manchester is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Frankfurt is Day 2. The arrival day of Manchester is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Munich, Valencia, Florence, Venice] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Frankfurt to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Frankfurt to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Frankfurt to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Frankfurt to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Manchester (Day 4 - 5).\n   |- The departure day of Florence is Day 5. The arrival day of Manchester is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Frankfurt to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Valencia is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Florence is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 5).\n |- The departure day of Venice is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 5 - 9).\n   |- The departure day of Manchester is Day 5. The arrival day of Split is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Split.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 16 - 18).\n     |- The departure day of Split is Day 9. The arrival day of Athens is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Manchester, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Munich, Frankfurt, Valencia, Florence] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Split to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 16 - 18).\n       |- The departure day of Munich is Day 13. The arrival day of Athens is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Venice, Manchester, Split, Munich].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Frankfurt, Valencia, Florence] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Munich to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n         |- The departure day of Edinburgh is Day 17. The arrival day of Athens is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Munich to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Athens is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Manchester, Split, Munich, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Valencia, Florence] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Frankfurt to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Frankfurt to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 16 - 18).\n           |- The departure day of Florence is Day 17. The arrival day of Athens is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Munich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 16 - 18).\n         |- The departure day of Valencia is Day 16. The arrival day of Athens is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Venice, Manchester, Split, Munich, Valencia].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Valencia to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Venice, Manchester, Split, Munich, Valencia, Athens].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Frankfurt, Florence] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Athens to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Venice, Manchester, Split, Munich, Valencia, Athens, Edinburgh].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Florence] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Edinburgh to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Venice, Manchester, Split, Munich, Valencia, Athens, Edinburgh, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Frankfurt to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Venice, Manchester, Split, Munich, Valencia, Athens, Edinburgh, Frankfurt, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Manchester.\n**Day 4-5:** Visit Manchester for 2 days.\n**Day 5:** Fly from Manchester to Split.\n**Day 5-9:** Visit Split for 5 days.\n**Day 9:** Fly from Split to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Edinburgh.\n**Day 18-22:** Visit Edinburgh for 5 days.\n**Day 22:** Fly from Edinburgh to Frankfurt.\n**Day 22-23:** Visit Frankfurt for 2 days.\n**Day 23:** Fly from Frankfurt to Florence.\n**Day 23-26:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Amsterdam**Lyon**Istanbul**Vilnius**Milan**Stockholm**Santorini**Venice",
    "ground_truth_durations": "5**4**4**2**5**5**4**3**5",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Venice"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You plan to stay in Milan for 5 days. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 1 and day 5. You would like to visit Vilnius for 5 days. You want to spend 2 days in Istanbul. You want to spend 5 days in Venice. You want to meet a friend in Venice between day 25 and day 29. You would like to visit Amsterdam for 4 days. You would like to visit Lyon for 4 days. During day 8 and day 11, you have to attend a conference in Lyon. You plan to stay in Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nSantorini and Venice, Amsterdam and Santorini, from Stockholm to Santorini, Amsterdam and Stockholm, Lyon and Istanbul, Split and Stockholm, Amsterdam and Milan, Milan and Santorini, Amsterdam and Venice, Istanbul and Venice, Amsterdam and Vilnius, Istanbul and Vilnius, Split and Milan, Split and Vilnius, Amsterdam and Istanbul, Split and Lyon, Istanbul and Milan, Amsterdam and Lyon, Lyon and Venice, Vilnius and Milan, Split and Amsterdam, Milan and Stockholm, Istanbul and Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You plan to stay in Milan for 5 days. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 1 and day 5. You would like to visit Vilnius for 5 days. You want to spend 2 days in Istanbul. You want to spend 5 days in Venice. You want to meet a friend in Venice between day 25 and day 29. You would like to visit Amsterdam for 4 days. You would like to visit Lyon for 4 days. During day 8 and day 11, you have to attend a conference in Lyon. You plan to stay in Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Venice, from Amsterdam to Santorini, from Stockholm to Santorini, from Amsterdam to Stockholm, from Lyon to Istanbul, from Split to Stockholm, from Amsterdam to Milan, from Milan to Santorini, from Amsterdam to Venice, from Istanbul to Venice, from Amsterdam to Vilnius, from Istanbul to Vilnius, from Split to Milan, from Split to Vilnius, from Amsterdam to Istanbul, from Split to Lyon, from Istanbul to Milan, from Amsterdam to Lyon, from Lyon to Venice, from Vilnius to Milan, from Split to Amsterdam, from Milan to Stockholm, from Istanbul to Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Vilnius.\n**Day 12-16:** Visit Vilnius for 5 days.\n**Day 16:** Fly from Vilnius to Milan.\n**Day 16-20:** Visit Milan for 5 days.\n**Day 20:** Fly from Milan to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.\n**Day 25:** Fly from Santorini to Venice.\n**Day 25-29:** Visit Venice for 5 days.",
    "id": "trip_planning_example_1315",
    "estimated_output_tokens": 4286,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Amsterdam, Duration: 4 days.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 5.\n* City: Lyon, Fixed Schedule: Day 8 - 11.\n* City: Venice, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 11).\n |- The departure day of Split is Day 5. The arrival day of Lyon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Vilnius, Istanbul, Amsterdam, Stockholm] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Split to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 11).\n   |- The departure day of Milan is Day 9. The arrival day of Lyon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Split to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 11).\n   |- The departure day of Vilnius is Day 9. The arrival day of Lyon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Split, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 25 - 29).\n     |- The departure day of Lyon is Day 11. The arrival day of Venice is Day 25. Day 11 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Amsterdam, Lyon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Vilnius, Istanbul, Stockholm] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lyon to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lyon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Lyon to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Lyon to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 25 - 29).\n       |- The departure day of Istanbul is Day 12. The arrival day of Venice is Day 25. Day 12 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Split, Amsterdam, Lyon, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Vilnius, Stockholm] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Istanbul to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 25 - 29).\n         |- The departure day of Milan is Day 16. The arrival day of Venice is Day 25. Day 16 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Split, Amsterdam, Lyon, Istanbul, Milan].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Vilnius, Stockholm] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Milan to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 25 - 29).\n           |- The departure day of Santorini is Day 18. The arrival day of Venice is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Split, Amsterdam, Lyon, Istanbul, Milan, Santorini].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Stockholm] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Santorini to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Santorini to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Milan to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Milan to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 25 - 29).\n           |- The departure day of Stockholm is Day 19. The arrival day of Venice is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Split, Amsterdam, Lyon, Istanbul, Milan, Stockholm].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Vilnius] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Stockholm to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Venice (Day 25 - 29).\n             |- The departure day of Santorini is Day 21. The arrival day of Venice is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Split, Amsterdam, Lyon, Istanbul, Milan, Stockholm, Santorini].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Santorini to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Stockholm to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Istanbul to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 25 - 29).\n         |- The departure day of Vilnius is Day 16. The arrival day of Venice is Day 25. Day 16 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Stockholm] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Vilnius to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Vilnius to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 25 - 29).\n           |- The departure day of Milan is Day 20. The arrival day of Venice is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius, Milan].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Milan to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Venice (Day 25 - 29).\n             |- The departure day of Santorini is Day 22. The arrival day of Venice is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius, Milan, Santorini].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n               |- Try arranging to visit Stockholm from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Santorini to Stockholm.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Milan to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Venice (Day 25 - 29).\n             |- The departure day of Stockholm is Day 23. The arrival day of Venice is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius, Milan, Stockholm].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Stockholm to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Venice (Day 25 - 29).\n               |- The departure day of Santorini is Day 25. The arrival day of Venice is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius, Milan, Stockholm, Santorini].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Venice.\n                 |- Try arranging to visit Venice from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Santorini to Venice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Split, Amsterdam, Lyon, Istanbul, Vilnius, Milan, Stockholm, Santorini, Venice].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Lyon.\n**Day 8-11:** Visit Lyon for 4 days.\n**Day 11:** Fly from Lyon to Istanbul.\n**Day 11-12:** Visit Istanbul for 2 days.\n**Day 12:** Fly from Istanbul to Vilnius.\n**Day 12-16:** Visit Vilnius for 5 days.\n**Day 16:** Fly from Vilnius to Milan.\n**Day 16-20:** Visit Milan for 5 days.\n**Day 20:** Fly from Milan to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Santorini.\n**Day 23-25:** Visit Santorini for 3 days.\n**Day 25:** Fly from Santorini to Venice.\n**Day 25-29:** Visit Venice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Tallinn**Amsterdam**Dubrovnik**Rome**Vienna**Krakow**Barcelona**Dublin",
    "ground_truth_durations": "2**3**3**5**2**4**4**4**5",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Rome"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You are going to attend a wedding in Dublin between day 20 and day 24. You want to spend 2 days in Berlin. You want to spend 5 days in Dubrovnik. You would like to visit Krakow for 4 days. You plan to stay in Rome for 2 days. You have to attend a workshop in Rome between day 10 and day 11. You want to spend 4 days in Vienna. You plan to stay in Amsterdam for 3 days. You want to spend 4 days in Barcelona. You would like to meet your friends at Barcelona between day 17 and day 20 to tour together. You would like to visit Tallinn for 3 days. During day 2 and day 4, you have to attend a conference in Tallinn.\n\nHere are the cities that have direct flights:\nAmsterdam and Rome, Rome and Vienna, Dubrovnik and Barcelona, Rome and Dublin, Barcelona and Dublin, Amsterdam and Krakow, Berlin and Rome, Berlin and Amsterdam, Vienna and Barcelona, Berlin and Krakow, Vienna and Krakow, Amsterdam and Dubrovnik, Dubrovnik and Vienna, Tallinn and Barcelona, Berlin and Tallinn, Berlin and Barcelona, Krakow and Dublin, Vienna and Dublin, Dubrovnik and Rome, Krakow and Barcelona, Tallinn and Dublin, Rome and Barcelona, Berlin and Dublin, Berlin and Vienna, Dubrovnik and Dublin, Amsterdam and Dublin, Amsterdam and Barcelona, Tallinn and Amsterdam, Amsterdam and Vienna.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dublin for 5 days. You are going to attend a wedding in Dublin between day 20 and day 24. You want to spend 2 days in Berlin. You want to spend 5 days in Dubrovnik. You would like to visit Krakow for 4 days. You plan to stay in Rome for 2 days. You have to attend a workshop in Rome between day 10 and day 11. You want to spend 4 days in Vienna. You plan to stay in Amsterdam for 3 days. You want to spend 4 days in Barcelona. You would like to meet your friends at Barcelona between day 17 and day 20 to tour together. You would like to visit Tallinn for 3 days. During day 2 and day 4, you have to attend a conference in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Rome, from Rome to Vienna, from Dubrovnik to Barcelona, from Rome to Dublin, from Barcelona to Dublin, from Amsterdam to Krakow, from Berlin to Rome, from Berlin to Amsterdam, from Vienna to Barcelona, from Berlin to Krakow, from Vienna to Krakow, from Amsterdam to Dubrovnik, from Dubrovnik to Vienna, from Tallinn to Barcelona, from Berlin to Tallinn, from Berlin to Barcelona, from Krakow to Dublin, from Vienna to Dublin, from Dubrovnik to Rome, from Krakow to Barcelona, from Tallinn to Dublin, from Rome to Barcelona, from Berlin to Dublin, from Berlin to Vienna, from Dubrovnik to Dublin, from Amsterdam to Dublin, from Amsterdam to Barcelona, from Tallinn to Amsterdam, from Amsterdam to Vienna.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Tallinn.\n**Day 2-4:** Visit Tallinn for 3 days.\n**Day 4:** Fly from Tallinn to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Rome.\n**Day 10-11:** Visit Rome for 2 days.\n**Day 11:** Fly from Rome to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Barcelona.\n**Day 17-20:** Visit Barcelona for 4 days.\n**Day 20:** Fly from Barcelona to Dublin.\n**Day 20-24:** Visit Dublin for 5 days.",
    "id": "trip_planning_example_1316",
    "estimated_output_tokens": 2505,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Berlin, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Krakow, Duration: 4 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Vienna, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 2 - 4.\n* City: Rome, Fixed Schedule: Day 10 - 11.\n* City: Barcelona, Fixed Schedule: Day 17 - 20.\n* City: Dublin, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Berlin, Duration: 2 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Krakow, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik, Krakow, Vienna, Amsterdam] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 2 - 4).\n |- The departure day of Berlin is Day 2. The arrival day of Tallinn is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Tallinn.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 10 - 11).\n   |- The departure day of Tallinn is Day 4. The arrival day of Rome is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Vienna, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Tallinn to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Tallinn to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Tallinn to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 10 - 11).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Rome is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Tallinn, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 10 - 11).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Rome is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Dubrovnik to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Barcelona (Day 17 - 20).\n         |- The departure day of Rome is Day 11. The arrival day of Barcelona is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik, Rome].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Vienna] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Rome to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Rome to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Barcelona (Day 17 - 20).\n           |- The departure day of Vienna is Day 14. The arrival day of Barcelona is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik, Rome, Vienna].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vienna to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Barcelona (Day 17 - 20).\n             |- The departure day of Krakow is Day 17. The arrival day of Barcelona is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik, Rome, Vienna, Krakow].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Barcelona.\n               |- Try arranging to visit Barcelona from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Krakow to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Dublin (Day 20 - 24).\n               |- The departure day of Barcelona is Day 20. The arrival day of Dublin is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik, Rome, Vienna, Krakow, Barcelona].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Dublin.\n                 |- Try arranging to visit Dublin from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Barcelona to Dublin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Berlin, Tallinn, Amsterdam, Dubrovnik, Rome, Vienna, Krakow, Barcelona, Dublin].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Tallinn.\n**Day 2-4:** Visit Tallinn for 3 days.\n**Day 4:** Fly from Tallinn to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Rome.\n**Day 10-11:** Visit Rome for 2 days.\n**Day 11:** Fly from Rome to Vienna.\n**Day 11-14:** Visit Vienna for 4 days.\n**Day 14:** Fly from Vienna to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Barcelona.\n**Day 17-20:** Visit Barcelona for 4 days.\n**Day 20:** Fly from Barcelona to Dublin.\n**Day 20-24:** Visit Dublin for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Lisbon**Venice**Santorini**London**Valencia**Amsterdam**Vilnius",
    "ground_truth_durations": "3**5**4**5**2**5**4**2**3",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Amsterdam"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Frankfurt",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Salzburg. You would like to meet your friends at Salzburg between day 1 and day 3 to tour together. You plan to stay in Amsterdam for 2 days. During day 22 and day 23, you have to attend a conference in Amsterdam. You plan to stay in Frankfurt for 5 days. You plan to stay in Valencia for 4 days. You want to spend 4 days in Lisbon. You plan to stay in Vilnius for 3 days. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 10 and day 14. You would like to visit London for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Valencia, Frankfurt and London, Lisbon and Amsterdam, Lisbon and London, Santorini and London, Santorini and Amsterdam, London and Valencia, Venice and Santorini, Valencia and Amsterdam, Amsterdam and Vilnius, Frankfurt and Lisbon, Frankfurt and Amsterdam, Venice and Amsterdam, Lisbon and Valencia, Frankfurt and Vilnius, Venice and London, Lisbon and Venice, Salzburg and Frankfurt, London and Amsterdam, Frankfurt and Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Santorini. You want to spend 3 days in Salzburg. You would like to meet your friends at Salzburg between day 1 and day 3 to tour together. You plan to stay in Amsterdam for 2 days. During day 22 and day 23, you have to attend a conference in Amsterdam. You plan to stay in Frankfurt for 5 days. You plan to stay in Valencia for 4 days. You want to spend 4 days in Lisbon. You plan to stay in Vilnius for 3 days. You want to spend 5 days in Venice. You are going to attend a wedding in Venice between day 10 and day 14. You would like to visit London for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Valencia, from Frankfurt to London, from Lisbon to Amsterdam, from Lisbon to London, from Santorini to London, from Santorini to Amsterdam, from London to Valencia, from Venice to Santorini, from Valencia to Amsterdam, from Amsterdam to Vilnius, from Frankfurt to Lisbon, from Frankfurt to Amsterdam, from Venice to Amsterdam, from Lisbon to Valencia, from Frankfurt to Vilnius, from Venice to London, from Lisbon to Venice, from Salzburg to Frankfurt, from London to Amsterdam, from Frankfurt to Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Lisbon.\n**Day 7-10:** Visit Lisbon for 4 days.\n**Day 10:** Fly from Lisbon to Venice.\n**Day 10-14:** Visit Venice for 5 days.\n**Day 14:** Fly from Venice to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to London.\n**Day 15-19:** Visit London for 5 days.\n**Day 19:** Fly from London to Valencia.\n**Day 19-22:** Visit Valencia for 4 days.\n**Day 22:** Fly from Valencia to Amsterdam.\n**Day 22-23:** Visit Amsterdam for 2 days.\n**Day 23:** Fly from Amsterdam to Vilnius.\n**Day 23-25:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1317",
    "estimated_output_tokens": 2731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Frankfurt, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: London, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 10 - 14.\n* City: Amsterdam, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 10 - 14).\n |- The departure day of Salzburg is Day 3. The arrival day of Venice is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Frankfurt, Valencia, Lisbon, Vilnius, London] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 10 - 14).\n   |- The departure day of Frankfurt is Day 7. The arrival day of Venice is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Valencia, Lisbon, Vilnius, London] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Frankfurt to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Frankfurt to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 10 - 14).\n     |- The departure day of Valencia is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Frankfurt, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Valencia to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Frankfurt to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 10 - 14).\n     |- The departure day of Lisbon is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Frankfurt, Lisbon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Lisbon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 22 - 23).\n       |- The departure day of Venice is Day 14. The arrival day of Amsterdam is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Salzburg, Frankfurt, Lisbon, Venice].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Valencia, Vilnius, London] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Venice to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 22 - 23).\n         |- The departure day of Santorini is Day 15. The arrival day of Amsterdam is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Salzburg, Frankfurt, Lisbon, Venice, Santorini].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Vilnius, London] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Santorini to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Santorini to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Santorini to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 22 - 23).\n           |- The departure day of London is Day 19. The arrival day of Amsterdam is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Salzburg, Frankfurt, Lisbon, Venice, Santorini, London].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Vilnius] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from London to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Amsterdam (Day 22 - 23).\n             |- The departure day of Valencia is Day 22. The arrival day of Amsterdam is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Salzburg, Frankfurt, Lisbon, Venice, Santorini, London, Valencia].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Valencia to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Salzburg, Frankfurt, Lisbon, Venice, Santorini, London, Valencia, Amsterdam].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Amsterdam to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Salzburg, Frankfurt, Lisbon, Venice, Santorini, London, Valencia, Amsterdam, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-7:** Visit Frankfurt for 5 days.\n**Day 7:** Fly from Frankfurt to Lisbon.\n**Day 7-10:** Visit Lisbon for 4 days.\n**Day 10:** Fly from Lisbon to Venice.\n**Day 10-14:** Visit Venice for 5 days.\n**Day 14:** Fly from Venice to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to London.\n**Day 15-19:** Visit London for 5 days.\n**Day 19:** Fly from London to Valencia.\n**Day 19-22:** Visit Valencia for 4 days.\n**Day 22:** Fly from Valencia to Amsterdam.\n**Day 22-23:** Visit Amsterdam for 2 days.\n**Day 23:** Fly from Amsterdam to Vilnius.\n**Day 23-25:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Riga**Tallinn**Vilnius**Helsinki**Budapest**Geneva**Porto**Oslo",
    "ground_truth_durations": "3**2**5**5**2**5**4**5**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 24,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You want to meet a friend in Oslo between day 24 and day 25. You plan to stay in Helsinki for 2 days. You plan to stay in Edinburgh for 3 days. You want to spend 2 days in Riga. You would like to visit Tallinn for 5 days. You are going to attend a wedding in Tallinn between day 4 and day 8. You would like to visit Budapest for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Porto for 5 days. You want to spend 4 days in Geneva.\n\nHere are the cities that have direct flights:\nPorto and Oslo, Edinburgh and Budapest, Edinburgh and Geneva, from Riga to Tallinn, Edinburgh and Porto, Vilnius and Helsinki, from Tallinn to Vilnius, Riga and Oslo, Geneva and Oslo, Edinburgh and Oslo, Edinburgh and Helsinki, Vilnius and Oslo, Riga and Helsinki, Budapest and Geneva, Helsinki and Budapest, Helsinki and Oslo, Edinburgh and Riga, Tallinn and Helsinki, Geneva and Porto, Budapest and Oslo, Helsinki and Geneva, from Riga to Vilnius, Tallinn and Oslo.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You want to meet a friend in Oslo between day 24 and day 25. You plan to stay in Helsinki for 2 days. You plan to stay in Edinburgh for 3 days. You want to spend 2 days in Riga. You would like to visit Tallinn for 5 days. You are going to attend a wedding in Tallinn between day 4 and day 8. You would like to visit Budapest for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Porto for 5 days. You want to spend 4 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Porto to Oslo, from Edinburgh to Budapest, from Edinburgh to Geneva, from Riga to Tallinn, from Edinburgh to Porto, from Vilnius to Helsinki, from Tallinn to Vilnius, from Riga to Oslo, from Geneva to Oslo, from Edinburgh to Oslo, from Edinburgh to Helsinki, from Vilnius to Oslo, from Riga to Helsinki, from Budapest to Geneva, from Helsinki to Budapest, from Helsinki to Oslo, from Edinburgh to Riga, from Tallinn to Helsinki, from Geneva to Porto, from Budapest to Oslo, from Helsinki to Geneva, from Riga to Vilnius, from Tallinn to Oslo.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Riga.\n**Day 3-4:** Visit Riga for 2 days.\n**Day 4:** Fly from Riga to Tallinn.\n**Day 4-8:** Visit Tallinn for 5 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Porto.\n**Day 20-24:** Visit Porto for 5 days.\n**Day 24:** Fly from Porto to Oslo.\n**Day 24-25:** Visit Oslo for 2 days.",
    "id": "trip_planning_example_1318",
    "estimated_output_tokens": 5114,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n* City: Helsinki, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 4 - 8.\n* City: Oslo, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 2 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Porto, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Edinburgh, Riga, Budapest, Vilnius, Porto, Geneva] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 8).\n |- The departure day of Helsinki is Day 2. The arrival day of Tallinn is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Riga, Budapest, Vilnius, Porto, Geneva] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Helsinki to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 4 - 8).\n   |- The departure day of Budapest is Day 6. The arrival day of Tallinn is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 4 - 8).\n   |- The departure day of Geneva is Day 5. The arrival day of Tallinn is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 4 - 8).\n |- The departure day of Edinburgh is Day 3. The arrival day of Tallinn is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga, Budapest, Vilnius, Porto, Geneva] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Edinburgh to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 4 - 8).\n   |- The departure day of Helsinki is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 4 - 8).\n   |- The departure day of Riga is Day 4. The arrival day of Tallinn is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 24 - 25).\n     |- The departure day of Tallinn is Day 8. The arrival day of Oslo is Day 24. Day 8 is not later than (<=) Day 24. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Budapest, Vilnius, Porto, Geneva] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 24 - 25).\n       |- The departure day of Helsinki is Day 9. The arrival day of Oslo is Day 24. Day 9 is not later than (<=) Day 24. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Riga, Tallinn, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Vilnius, Porto, Geneva] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 24 - 25).\n         |- The departure day of Budapest is Day 13. The arrival day of Oslo is Day 24. Day 13 is not later than (<=) Day 24. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Riga, Tallinn, Helsinki, Budapest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto, Geneva] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Budapest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Budapest to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Budapest to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 24 - 25).\n           |- The departure day of Geneva is Day 16. The arrival day of Oslo is Day 24. Day 16 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Edinburgh, Riga, Tallinn, Helsinki, Budapest, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Geneva to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Geneva to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Oslo (Day 24 - 25).\n             |- The departure day of Porto is Day 20. The arrival day of Oslo is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Edinburgh, Riga, Tallinn, Helsinki, Budapest, Geneva, Porto].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Porto to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Helsinki to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 24 - 25).\n         |- The departure day of Geneva is Day 12. The arrival day of Oslo is Day 24. Day 12 is not later than (<=) Day 24. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Edinburgh, Riga, Tallinn, Helsinki, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Vilnius, Porto] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Geneva to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Geneva to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 24 - 25).\n           |- The departure day of Porto is Day 16. The arrival day of Oslo is Day 24. Day 16 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Edinburgh, Riga, Tallinn, Helsinki, Geneva, Porto].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest, Vilnius] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Porto to Budapest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Porto to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 24 - 25).\n       |- The departure day of Vilnius is Day 12. The arrival day of Oslo is Day 24. Day 12 is not later than (<=) Day 24. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Edinburgh, Riga, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Budapest, Porto, Geneva] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Vilnius to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 24 - 25).\n         |- The departure day of Helsinki is Day 13. The arrival day of Oslo is Day 24. Day 13 is not later than (<=) Day 24. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Riga, Tallinn, Vilnius, Helsinki].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Porto, Geneva] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Helsinki to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 24 - 25).\n           |- The departure day of Budapest is Day 17. The arrival day of Oslo is Day 24. Day 17 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Edinburgh, Riga, Tallinn, Vilnius, Helsinki, Budapest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Geneva] and explore these options in order.\n             |- Try arranging to visit Porto from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Budapest to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Budapest to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Oslo (Day 24 - 25).\n             |- The departure day of Geneva is Day 20. The arrival day of Oslo is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Edinburgh, Riga, Tallinn, Vilnius, Helsinki, Budapest, Geneva].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Geneva to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Oslo (Day 24 - 25).\n               |- The departure day of Porto is Day 24. The arrival day of Oslo is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Edinburgh, Riga, Tallinn, Vilnius, Helsinki, Budapest, Geneva, Porto].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Oslo.\n                 |- Try arranging to visit Oslo from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Porto to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Edinburgh, Riga, Tallinn, Vilnius, Helsinki, Budapest, Geneva, Porto, Oslo].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Edinburgh and visit Edinburgh for 3 days.\n**Day 3:** Fly from Edinburgh to Riga.\n**Day 3-4:** Visit Riga for 2 days.\n**Day 4:** Fly from Riga to Tallinn.\n**Day 4-8:** Visit Tallinn for 5 days.\n**Day 8:** Fly from Tallinn to Vilnius.\n**Day 8-12:** Visit Vilnius for 5 days.\n**Day 12:** Fly from Vilnius to Helsinki.\n**Day 12-13:** Visit Helsinki for 2 days.\n**Day 13:** Fly from Helsinki to Budapest.\n**Day 13-17:** Visit Budapest for 5 days.\n**Day 17:** Fly from Budapest to Geneva.\n**Day 17-20:** Visit Geneva for 4 days.\n**Day 20:** Fly from Geneva to Porto.\n**Day 20-24:** Visit Porto for 5 days.\n**Day 24:** Fly from Porto to Oslo.\n**Day 24-25:** Visit Oslo for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**London**Lisbon**Hamburg**Munich**Dubrovnik**Athens**Berlin**Reykjavik",
    "ground_truth_durations": "5**4**5**3**3**3**5**3**4",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "London",
        "Athens"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Berlin",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Reykjavik. You plan to stay in Munich for 3 days. You plan to stay in Hamburg for 3 days. You want to spend 4 days in London. You have to attend a workshop in London between day 5 and day 8. You plan to stay in Lisbon for 5 days. From day 8 to day 12, there is a annual show you want to attend in Lisbon. You would like to visit Berlin for 3 days. You would like to visit Dubrovnik for 3 days. You want to spend 5 days in Athens. You would like to meet your friends at Athens between day 18 and day 22 to tour together. You plan to stay in Naples for 5 days. During day 1 and day 5, you have to attend a conference in Naples.\n\nHere are the cities that have direct flights:\nLondon and Athens, London and Reykjavik, from Reykjavik to Athens, Naples and Dubrovnik, Lisbon and Athens, Naples and Munich, Lisbon and Reykjavik, Munich and Berlin, Hamburg and Munich, London and Hamburg, Munich and Athens, Munich and Dubrovnik, London and Berlin, Lisbon and Berlin, London and Munich, Dubrovnik and Athens, Naples and Athens, London and Lisbon, Naples and London, Naples and Lisbon, Lisbon and Hamburg, Athens and Berlin, Hamburg and Athens, Munich and Reykjavik, Naples and Berlin, Lisbon and Munich, Berlin and Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Reykjavik. You plan to stay in Munich for 3 days. You plan to stay in Hamburg for 3 days. You want to spend 4 days in London. You have to attend a workshop in London between day 5 and day 8. You plan to stay in Lisbon for 5 days. From day 8 to day 12, there is a annual show you want to attend in Lisbon. You would like to visit Berlin for 3 days. You would like to visit Dubrovnik for 3 days. You want to spend 5 days in Athens. You would like to meet your friends at Athens between day 18 and day 22 to tour together. You plan to stay in Naples for 5 days. During day 1 and day 5, you have to attend a conference in Naples.\n\nHere are the cities that have direct flights:\nfrom London to Athens, from London to Reykjavik, from Reykjavik to Athens, from Naples to Dubrovnik, from Lisbon to Athens, from Naples to Munich, from Lisbon to Reykjavik, from Munich to Berlin, from Hamburg to Munich, from London to Hamburg, from Munich to Athens, from Munich to Dubrovnik, from London to Berlin, from Lisbon to Berlin, from London to Munich, from Dubrovnik to Athens, from Naples to Athens, from London to Lisbon, from Naples to London, from Naples to Lisbon, from Lisbon to Hamburg, from Athens to Berlin, from Hamburg to Athens, from Munich to Reykjavik, from Naples to Berlin, from Lisbon to Munich, from Berlin to Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Lisbon.\n**Day 8-12:** Visit Lisbon for 5 days.\n**Day 12:** Fly from Lisbon to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.\n**Day 14:** Fly from Hamburg to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Dubrovnik.\n**Day 16-18:** Visit Dubrovnik for 3 days.\n**Day 18:** Fly from Dubrovnik to Athens.\n**Day 18-22:** Visit Athens for 5 days.\n**Day 22:** Fly from Athens to Berlin.\n**Day 22-24:** Visit Berlin for 3 days.\n**Day 24:** Fly from Berlin to Reykjavik.\n**Day 24-27:** Visit Reykjavik for 4 days.",
    "id": "trip_planning_example_1319",
    "estimated_output_tokens": 4628,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Lisbon, Fixed Schedule: Day 8 - 12.\n* City: Athens, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n* City: Hamburg, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Naples is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Naples to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 12).\n   |- The departure day of London is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from London to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 18 - 22).\n     |- The departure day of Lisbon is Day 12. The arrival day of Athens is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Naples, London, Lisbon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Munich, Hamburg, Berlin, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 18 - 22).\n       |- The departure day of Reykjavik is Day 15. The arrival day of Athens is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Naples, London, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Hamburg, Berlin, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Reykjavik to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Reykjavik to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Reykjavik to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Reykjavik to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Lisbon to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 18 - 22).\n       |- The departure day of Munich is Day 14. The arrival day of Athens is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Naples, London, Lisbon, Munich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg, Berlin, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Munich to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 18 - 22).\n         |- The departure day of Reykjavik is Day 17. The arrival day of Athens is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Naples, London, Lisbon, Munich, Reykjavik].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Berlin, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Reykjavik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Reykjavik to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Reykjavik to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 18 - 22).\n         |- The departure day of Berlin is Day 16. The arrival day of Athens is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Naples, London, Lisbon, Munich, Berlin].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 18 - 22).\n           |- The departure day of Reykjavik is Day 19. The arrival day of Athens is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Berlin to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Berlin to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 18 - 22).\n         |- The departure day of Dubrovnik is Day 16. The arrival day of Athens is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Naples, London, Lisbon, Munich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg, Berlin] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Dubrovnik to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Dubrovnik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Dubrovnik to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Lisbon to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 18 - 22).\n       |- The departure day of Hamburg is Day 14. The arrival day of Athens is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Naples, London, Lisbon, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Munich, Berlin, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Hamburg to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Hamburg to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 18 - 22).\n         |- The departure day of Munich is Day 16. The arrival day of Athens is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Naples, London, Lisbon, Hamburg, Munich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Berlin, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Munich to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 18 - 22).\n           |- The departure day of Reykjavik is Day 19. The arrival day of Athens is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Berlin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Munich to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 18 - 22).\n           |- The departure day of Berlin is Day 18. The arrival day of Athens is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Naples, London, Lisbon, Hamburg, Munich, Berlin].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Berlin to Athens.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Munich to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 18 - 22).\n           |- The departure day of Dubrovnik is Day 18. The arrival day of Athens is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Naples, London, Lisbon, Hamburg, Munich, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Dubrovnik to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Naples, London, Lisbon, Hamburg, Munich, Dubrovnik, Athens].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Berlin] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Athens to Reykjavik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Berlin from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Athens to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Naples, London, Lisbon, Hamburg, Munich, Dubrovnik, Athens, Berlin].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                 |- Check for direct flight from Berlin to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Naples, London, Lisbon, Hamburg, Munich, Dubrovnik, Athens, Berlin, Reykjavik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Lisbon.\n**Day 8-12:** Visit Lisbon for 5 days.\n**Day 12:** Fly from Lisbon to Hamburg.\n**Day 12-14:** Visit Hamburg for 3 days.\n**Day 14:** Fly from Hamburg to Munich.\n**Day 14-16:** Visit Munich for 3 days.\n**Day 16:** Fly from Munich to Dubrovnik.\n**Day 16-18:** Visit Dubrovnik for 3 days.\n**Day 18:** Fly from Dubrovnik to Athens.\n**Day 18-22:** Visit Athens for 5 days.\n**Day 22:** Fly from Athens to Berlin.\n**Day 22-24:** Visit Berlin for 3 days.\n**Day 24:** Fly from Berlin to Reykjavik.\n**Day 24-27:** Visit Reykjavik for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Copenhagen**Bucharest**Lisbon**Venice**Stuttgart**Edinburgh**Helsinki**Vilnius",
    "ground_truth_durations": "4**2**4**4**5**2**3**2**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 2 days in Helsinki. You plan to stay in Bucharest for 4 days. You would like to visit Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 1 and day 4. You plan to stay in Venice for 5 days. From day 11 to day 15, there is a annual show you want to attend in Venice. You want to spend 3 days in Edinburgh. You want to spend 4 days in Lisbon. You plan to visit relatives in Lisbon between day 8 and day 11. You plan to stay in Vilnius for 5 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nBucharest and Lisbon, Lisbon and Venice, Copenhagen and Venice, Copenhagen and Stuttgart, Edinburgh and Helsinki, Copenhagen and Lisbon, Copenhagen and Helsinki, Dubrovnik and Copenhagen, Venice and Stuttgart, Venice and Helsinki, Copenhagen and Edinburgh, Copenhagen and Vilnius, Venice and Edinburgh, Dubrovnik and Helsinki, Lisbon and Stuttgart, Copenhagen and Bucharest, Lisbon and Helsinki, Helsinki and Vilnius, Stuttgart and Edinburgh.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 2 days. You want to spend 2 days in Helsinki. You plan to stay in Bucharest for 4 days. You would like to visit Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 1 and day 4. You plan to stay in Venice for 5 days. From day 11 to day 15, there is a annual show you want to attend in Venice. You want to spend 3 days in Edinburgh. You want to spend 4 days in Lisbon. You plan to visit relatives in Lisbon between day 8 and day 11. You plan to stay in Vilnius for 5 days. You would like to visit Copenhagen for 2 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Lisbon, from Lisbon to Venice, from Copenhagen to Venice, from Copenhagen to Stuttgart, from Edinburgh to Helsinki, from Copenhagen to Lisbon, from Copenhagen to Helsinki, from Dubrovnik to Copenhagen, from Venice to Stuttgart, from Venice to Helsinki, from Copenhagen to Edinburgh, from Copenhagen to Vilnius, from Venice to Edinburgh, from Dubrovnik to Helsinki, from Lisbon to Stuttgart, from Copenhagen to Bucharest, from Lisbon to Helsinki, from Helsinki to Vilnius, from Stuttgart to Edinburgh.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Venice.\n**Day 11-15:** Visit Venice for 5 days.\n**Day 15:** Fly from Venice to Stuttgart.\n**Day 15-16:** Visit Stuttgart for 2 days.\n**Day 16:** Fly from Stuttgart to Edinburgh.\n**Day 16-18:** Visit Edinburgh for 3 days.\n**Day 18:** Fly from Edinburgh to Helsinki.\n**Day 18-19:** Visit Helsinki for 2 days.\n**Day 19:** Fly from Helsinki to Vilnius.\n**Day 19-23:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1320",
    "estimated_output_tokens": 4037,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Bucharest, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Edinburgh, Duration: 3 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Vilnius, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Fixed Schedule: Day 8 - 11.\n* City: Venice, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Bucharest, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Vilnius, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 8 - 11).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Lisbon is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Helsinki, Bucharest, Edinburgh, Vilnius, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 8 - 11).\n   |- The departure day of Helsinki is Day 5. The arrival day of Lisbon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Bucharest, Edinburgh, Vilnius, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Helsinki to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 11).\n     |- The departure day of Vilnius is Day 9. The arrival day of Lisbon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 8 - 11).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Lisbon is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Helsinki, Bucharest, Edinburgh, Vilnius] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 11).\n     |- The departure day of Stuttgart is Day 6. The arrival day of Lisbon is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Copenhagen, Stuttgart].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Bucharest, Edinburgh, Vilnius] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stuttgart to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stuttgart to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Stuttgart to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 8 - 11).\n       |- The departure day of Edinburgh is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dubrovnik, Copenhagen, Stuttgart, Edinburgh].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Edinburgh to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Stuttgart to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Copenhagen to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 11).\n     |- The departure day of Helsinki is Day 6. The arrival day of Lisbon is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Copenhagen, Helsinki].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Bucharest, Edinburgh, Vilnius] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Helsinki to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Helsinki to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Helsinki to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Helsinki to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 8 - 11).\n       |- The departure day of Vilnius is Day 10. The arrival day of Lisbon is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Copenhagen to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 8 - 11).\n     |- The departure day of Bucharest is Day 8. The arrival day of Lisbon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Copenhagen, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 11 - 15).\n       |- The departure day of Lisbon is Day 11. The arrival day of Venice is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon, Venice].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Helsinki, Edinburgh, Vilnius] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Venice to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon, Venice, Stuttgart].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Edinburgh, Vilnius] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Stuttgart to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Stuttgart to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon, Venice, Stuttgart, Edinburgh].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki, Vilnius] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Edinburgh to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon, Venice, Stuttgart, Edinburgh, Helsinki].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Helsinki to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Dubrovnik, Copenhagen, Bucharest, Lisbon, Venice, Stuttgart, Edinburgh, Helsinki, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Copenhagen.\n**Day 4-5:** Visit Copenhagen for 2 days.\n**Day 5:** Fly from Copenhagen to Bucharest.\n**Day 5-8:** Visit Bucharest for 4 days.\n**Day 8:** Fly from Bucharest to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Venice.\n**Day 11-15:** Visit Venice for 5 days.\n**Day 15:** Fly from Venice to Stuttgart.\n**Day 15-16:** Visit Stuttgart for 2 days.\n**Day 16:** Fly from Stuttgart to Edinburgh.\n**Day 16-18:** Visit Edinburgh for 3 days.\n**Day 18:** Fly from Edinburgh to Helsinki.\n**Day 18-19:** Visit Helsinki for 2 days.\n**Day 19:** Fly from Helsinki to Vilnius.\n**Day 19-23:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Rome**Barcelona**Seville**Porto**Zurich**Paris**Prague**Manchester",
    "ground_truth_durations": "2**5**4**2**2**5**5**2**4",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Prague"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Rome",
        "Paris"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Barcelona",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You are going to attend a wedding in Seville between day 9 and day 10. You want to spend 5 days in Zurich. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 2 and day 6 to tour together. You plan to stay in Manchester for 4 days. You plan to visit relatives in Manchester between day 20 and day 23. You plan to stay in Barcelona for 4 days. You plan to stay in Paris for 5 days. During day 15 and day 19, you have to attend a conference in Paris. You would like to visit Porto for 2 days. You want to spend 2 days in Prague. You want to spend 2 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nParis and Prague, Porto and Zurich, Seville and Paris, Rome and Paris, Rome and Seville, Zurich and Prague, Barcelona and Porto, Prague and Manchester, Dubrovnik and Barcelona, Rome and Barcelona, Seville and Manchester, Porto and Manchester, Dubrovnik and Rome, Porto and Paris, Barcelona and Prague, Dubrovnik and Zurich, Seville and Porto, Zurich and Manchester, Barcelona and Paris, Dubrovnik and Manchester, Paris and Manchester, Zurich and Paris, Barcelona and Seville, Barcelona and Manchester, Rome and Prague, Rome and Zurich, Rome and Manchester, Barcelona and Zurich.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You are going to attend a wedding in Seville between day 9 and day 10. You want to spend 5 days in Zurich. You want to spend 5 days in Rome. You would like to meet your friends at Rome between day 2 and day 6 to tour together. You plan to stay in Manchester for 4 days. You plan to visit relatives in Manchester between day 20 and day 23. You plan to stay in Barcelona for 4 days. You plan to stay in Paris for 5 days. During day 15 and day 19, you have to attend a conference in Paris. You would like to visit Porto for 2 days. You want to spend 2 days in Prague. You want to spend 2 days in Dubrovnik.\n\nHere are the cities that have direct flights:\nfrom Paris to Prague, from Porto to Zurich, from Seville to Paris, from Rome to Paris, from Rome to Seville, from Zurich to Prague, from Barcelona to Porto, from Prague to Manchester, from Dubrovnik to Barcelona, from Rome to Barcelona, from Seville to Manchester, from Porto to Manchester, from Dubrovnik to Rome, from Porto to Paris, from Barcelona to Prague, from Dubrovnik to Zurich, from Seville to Porto, from Zurich to Manchester, from Barcelona to Paris, from Dubrovnik to Manchester, from Paris to Manchester, from Zurich to Paris, from Barcelona to Seville, from Barcelona to Manchester, from Rome to Prague, from Rome to Zurich, from Rome to Manchester, from Barcelona to Zurich.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n**Day 11:** Fly from Porto to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Paris.\n**Day 15-19:** Visit Paris for 5 days.\n**Day 19:** Fly from Paris to Prague.\n**Day 19-20:** Visit Prague for 2 days.\n**Day 20:** Fly from Prague to Manchester.\n**Day 20-23:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1321",
    "estimated_output_tokens": 3167,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Zurich, Duration: 5 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Barcelona, Duration: 4 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Porto, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 2 - 6.\n* City: Seville, Fixed Schedule: Day 9 - 10.\n* City: Paris, Fixed Schedule: Day 15 - 19.\n* City: Manchester, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Porto, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Barcelona, Porto, Prague, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Zurich is Day 5. The arrival day of Rome is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Barcelona is Day 4. The arrival day of Rome is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Porto is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Prague is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Barcelona, Porto, Prague] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 10).\n     |- The departure day of Zurich is Day 10. The arrival day of Seville is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 10).\n     |- The departure day of Barcelona is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Rome, Barcelona].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Barcelona to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 15 - 19).\n       |- The departure day of Seville is Day 10. The arrival day of Paris is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Rome, Barcelona, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Porto, Prague] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Seville to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Seville to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 15 - 19).\n         |- The departure day of Porto is Day 11. The arrival day of Paris is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Rome, Barcelona, Seville, Porto].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Prague] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Porto to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Paris (Day 15 - 19).\n           |- The departure day of Zurich is Day 15. The arrival day of Paris is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dubrovnik, Rome, Barcelona, Seville, Porto, Zurich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Paris.\n             |- Try arranging to visit Paris from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Zurich to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 20 - 23).\n             |- The departure day of Paris is Day 19. The arrival day of Manchester is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dubrovnik, Rome, Barcelona, Seville, Porto, Zurich, Paris].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n               |- Try arranging to visit Prague from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Paris to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Manchester (Day 20 - 23).\n               |- The departure day of Prague is Day 20. The arrival day of Manchester is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Dubrovnik, Rome, Barcelona, Seville, Porto, Zurich, Paris, Prague].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Manchester.\n                 |- Try arranging to visit Manchester from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Prague to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Dubrovnik, Rome, Barcelona, Seville, Porto, Zurich, Paris, Prague, Manchester].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n**Day 11:** Fly from Porto to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Paris.\n**Day 15-19:** Visit Paris for 5 days.\n**Day 19:** Fly from Paris to Prague.\n**Day 19-20:** Visit Prague for 2 days.\n**Day 20:** Fly from Prague to Manchester.\n**Day 20-23:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Amsterdam**Florence**Brussels**Edinburgh**Dublin**Bucharest**Manchester**Stockholm",
    "ground_truth_durations": "3**3**2**4**2**5**2**2**3",
    "num_cities": 9,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Brussels",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Dublin"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. From day 6 to day 9, there is a annual show you want to attend in Brussels. You want to spend 3 days in Stockholm. You want to meet a friend in Stockholm between day 16 and day 18. You would like to visit Manchester for 2 days. You want to spend 2 days in Bucharest. During day 14 and day 15, you have to attend a conference in Bucharest. You want to spend 2 days in Florence. You plan to visit relatives in Florence between day 5 and day 6. You want to spend 5 days in Dublin. You would like to visit Edinburgh for 2 days. You plan to stay in Mykonos for 3 days. You would like to visit Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nBrussels and Bucharest, Brussels and Manchester, Florence and Brussels, Edinburgh and Stockholm, Dublin and Manchester, Brussels and Dublin, Amsterdam and Stockholm, Amsterdam and Dublin, Mykonos and Amsterdam, Brussels and Stockholm, Amsterdam and Florence, Amsterdam and Manchester, Dublin and Stockholm, Amsterdam and Edinburgh, Edinburgh and Dublin, Bucharest and Manchester, Manchester and Stockholm, Brussels and Edinburgh, Dublin and Bucharest, Amsterdam and Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. From day 6 to day 9, there is a annual show you want to attend in Brussels. You want to spend 3 days in Stockholm. You want to meet a friend in Stockholm between day 16 and day 18. You would like to visit Manchester for 2 days. You want to spend 2 days in Bucharest. During day 14 and day 15, you have to attend a conference in Bucharest. You want to spend 2 days in Florence. You plan to visit relatives in Florence between day 5 and day 6. You want to spend 5 days in Dublin. You would like to visit Edinburgh for 2 days. You plan to stay in Mykonos for 3 days. You would like to visit Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Bucharest, from Brussels to Manchester, from Florence to Brussels, from Edinburgh to Stockholm, from Dublin to Manchester, from Brussels to Dublin, from Amsterdam to Stockholm, from Amsterdam to Dublin, from Mykonos to Amsterdam, from Brussels to Stockholm, from Amsterdam to Florence, from Amsterdam to Manchester, from Dublin to Stockholm, from Amsterdam to Edinburgh, from Edinburgh to Dublin, from Bucharest to Manchester, from Manchester to Stockholm, from Brussels to Edinburgh, from Dublin to Bucharest, from Amsterdam to Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 18 days:\n\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Amsterdam.\n**Day 3-5:** Visit Amsterdam for 3 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-6:** Visit Florence for 2 days.\n**Day 6:** Fly from Florence to Brussels.\n**Day 6-9:** Visit Brussels for 4 days.\n**Day 9:** Fly from Brussels to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Dublin.\n**Day 10-14:** Visit Dublin for 5 days.\n**Day 14:** Fly from Dublin to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Manchester.\n**Day 15-16:** Visit Manchester for 2 days.\n**Day 16:** Fly from Manchester to Stockholm.\n**Day 16-18:** Visit Stockholm for 3 days.",
    "id": "trip_planning_example_1322",
    "estimated_output_tokens": 4415,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Manchester, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Dublin, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 5 - 6.\n* City: Brussels, Fixed Schedule: Day 6 - 9.\n* City: Bucharest, Fixed Schedule: Day 14 - 15.\n* City: Stockholm, Fixed Schedule: Day 16 - 18.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Dublin, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Dublin, Edinburgh, Mykonos, Amsterdam] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 6).\n |- The departure day of Manchester is Day 2. The arrival day of Florence is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Edinburgh, Mykonos, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Manchester to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Amsterdam.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 6).\n |- The departure day of Dublin is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dublin to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 6).\n |- The departure day of Edinburgh is Day 2. The arrival day of Florence is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Dublin, Mykonos, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Edinburgh to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Edinburgh to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 5 - 6).\n   |- The departure day of Dublin is Day 6. The arrival day of Florence is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Amsterdam.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 6).\n |- The departure day of Mykonos is Day 3. The arrival day of Florence is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Dublin, Edinburgh, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Mykonos to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 6 - 9).\n     |- The departure day of Florence is Day 6. The arrival day of Brussels is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Mykonos, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Florence to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 14 - 15).\n       |- The departure day of Brussels is Day 9. The arrival day of Bucharest is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Mykonos, Amsterdam, Florence, Brussels].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Dublin, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Brussels to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 14 - 15).\n         |- The departure day of Manchester is Day 10. The arrival day of Bucharest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Manchester].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Manchester to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Manchester to Edinburgh.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Brussels to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 14 - 15).\n         |- The departure day of Dublin is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Dublin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dublin to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 15).\n           |- The departure day of Manchester is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Dublin, Manchester].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Manchester to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dublin to Edinburgh.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Brussels to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 14 - 15).\n         |- The departure day of Edinburgh is Day 10. The arrival day of Bucharest is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Edinburgh].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Dublin] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Edinburgh to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Edinburgh to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 14 - 15).\n           |- The departure day of Dublin is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Edinburgh, Dublin].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Dublin to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 18).\n             |- The departure day of Bucharest is Day 15. The arrival day of Stockholm is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Edinburgh, Dublin, Bucharest].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Bucharest to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 16 - 18).\n               |- The departure day of Manchester is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Edinburgh, Dublin, Bucharest, Manchester].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n                 |- Check for direct flight from Manchester to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Mykonos, Amsterdam, Florence, Brussels, Edinburgh, Dublin, Bucharest, Manchester, Stockholm].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Amsterdam.\n**Day 3-5:** Visit Amsterdam for 3 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-6:** Visit Florence for 2 days.\n**Day 6:** Fly from Florence to Brussels.\n**Day 6-9:** Visit Brussels for 4 days.\n**Day 9:** Fly from Brussels to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Dublin.\n**Day 10-14:** Visit Dublin for 5 days.\n**Day 14:** Fly from Dublin to Bucharest.\n**Day 14-15:** Visit Bucharest for 2 days.\n**Day 15:** Fly from Bucharest to Manchester.\n**Day 15-16:** Visit Manchester for 2 days.\n**Day 16:** Fly from Manchester to Stockholm.\n**Day 16-18:** Visit Stockholm for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Edinburgh**Krakow**Barcelona**Florence**Amsterdam**Naples**Istanbul**Tallinn",
    "ground_truth_durations": "4**5**5**4**5**5**4**4**5",
    "num_cities": 9,
    "total_days": 33,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 26,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Copenhagen",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4. You want to spend 5 days in Florence. You want to spend 4 days in Barcelona. You want to spend 5 days in Tallinn. You would like to visit Edinburgh for 5 days. From day 4 to day 8, there is a annual show you want to attend in Edinburgh. You would like to visit Krakow for 5 days. You would like to visit Istanbul for 4 days. You would like to meet your friends at Istanbul between day 26 and day 29 to tour together. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 19 and day 23. You plan to stay in Naples for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Edinburgh, Barcelona and Naples, Copenhagen and Amsterdam, Copenhagen and Istanbul, Krakow and Amsterdam, Krakow and Barcelona, Copenhagen and Naples, Barcelona and Istanbul, Edinburgh and Amsterdam, Copenhagen and Barcelona, Amsterdam and Istanbul, Copenhagen and Tallinn, Edinburgh and Istanbul, Edinburgh and Barcelona, Edinburgh and Krakow, Naples and Istanbul, Amsterdam and Tallinn, from Istanbul to Tallinn, Amsterdam and Naples, Florence and Amsterdam, Barcelona and Amsterdam, Krakow and Istanbul, Barcelona and Tallinn, Barcelona and Florence, Copenhagen and Krakow.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4. You want to spend 5 days in Florence. You want to spend 4 days in Barcelona. You want to spend 5 days in Tallinn. You would like to visit Edinburgh for 5 days. From day 4 to day 8, there is a annual show you want to attend in Edinburgh. You would like to visit Krakow for 5 days. You would like to visit Istanbul for 4 days. You would like to meet your friends at Istanbul between day 26 and day 29 to tour together. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 19 and day 23. You plan to stay in Naples for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Edinburgh, from Barcelona to Naples, from Copenhagen to Amsterdam, from Copenhagen to Istanbul, from Krakow to Amsterdam, from Krakow to Barcelona, from Copenhagen to Naples, from Barcelona to Istanbul, from Edinburgh to Amsterdam, from Copenhagen to Barcelona, from Amsterdam to Istanbul, from Copenhagen to Tallinn, from Edinburgh to Istanbul, from Edinburgh to Barcelona, from Edinburgh to Krakow, from Naples to Istanbul, from Amsterdam to Tallinn, from Istanbul to Tallinn, from Amsterdam to Naples, from Florence to Amsterdam, from Barcelona to Amsterdam, from Krakow to Istanbul, from Barcelona to Tallinn, from Barcelona to Florence, from Copenhagen to Krakow.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 33 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Edinburgh.\n**Day 4-8:** Visit Edinburgh for 5 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Barcelona.\n**Day 12-15:** Visit Barcelona for 4 days.\n**Day 15:** Fly from Barcelona to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.\n**Day 23:** Fly from Amsterdam to Naples.\n**Day 23-26:** Visit Naples for 4 days.\n**Day 26:** Fly from Naples to Istanbul.\n**Day 26-29:** Visit Istanbul for 4 days.\n**Day 29:** Fly from Istanbul to Tallinn.\n**Day 29-33:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1323",
    "estimated_output_tokens": 3840,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Florence, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Krakow, Duration: 5 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 26 - 29.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Naples, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Fixed Schedule: Day 4 - 8.\n* City: Amsterdam, Fixed Schedule: Day 19 - 23.\n* City: Istanbul, Fixed Schedule: Day 26 - 29.\n\nCities needing arrangement:\n* City: Florence, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 4 - 8).\n |- The departure day of Copenhagen is Day 4. The arrival day of Edinburgh is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Copenhagen to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Amsterdam (Day 19 - 23).\n   |- The departure day of Edinburgh is Day 8. The arrival day of Amsterdam is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Edinburgh].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona, Tallinn, Krakow, Naples] and explore these options in order.\n     |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Edinburgh to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 19 - 23).\n     |- The departure day of Barcelona is Day 11. The arrival day of Amsterdam is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Edinburgh, Barcelona].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Krakow, Naples] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 19 - 23).\n       |- The departure day of Florence is Day 15. The arrival day of Amsterdam is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Copenhagen, Edinburgh, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Krakow, Naples] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Florence to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Florence to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Florence to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Barcelona to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 19 - 23).\n       |- The departure day of Tallinn is Day 15. The arrival day of Amsterdam is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Copenhagen, Edinburgh, Barcelona, Tallinn].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Krakow, Naples] and explore these options in order.\n         |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Tallinn to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Tallinn to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Barcelona to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Barcelona to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Amsterdam (Day 19 - 23).\n       |- The departure day of Naples is Day 14. The arrival day of Amsterdam is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Copenhagen, Edinburgh, Barcelona, Naples].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Krakow] and explore these options in order.\n         |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Naples to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Naples to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Edinburgh to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 19 - 23).\n     |- The departure day of Krakow is Day 12. The arrival day of Amsterdam is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Copenhagen, Edinburgh, Krakow].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Barcelona, Tallinn, Naples] and explore these options in order.\n       |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Krakow to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Krakow to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 19 - 23).\n       |- The departure day of Barcelona is Day 15. The arrival day of Amsterdam is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Naples] and explore these options in order.\n         |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Barcelona to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 19 - 23).\n         |- The departure day of Florence is Day 19. The arrival day of Amsterdam is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona, Florence].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- Yes. The city with an arrival day of Day 19 - is fixed: Amsterdam.\n           |- Try arranging to visit Amsterdam from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Florence to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Istanbul (Day 26 - 29).\n           |- The departure day of Amsterdam is Day 23. The arrival day of Istanbul is Day 26. Day 23 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona, Florence, Amsterdam].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Naples] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n             |- Check for direct flight from Amsterdam to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Istanbul (Day 26 - 29).\n             |- The departure day of Tallinn is Day 27. The arrival day of Istanbul is Day 26. Day 27 is later than (>) Day 26. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Naples from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n             |- Check for direct flight from Amsterdam to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Istanbul (Day 26 - 29).\n             |- The departure day of Naples is Day 26. The arrival day of Istanbul is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona, Florence, Amsterdam, Naples].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- Yes. The city with an arrival day of Day 26 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n               |- Check for direct flight from Naples to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona, Florence, Amsterdam, Naples, Istanbul].\n                |- Check whether the city with an arrival day of Day 29 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 29. Duration: 5 days. Schedule: Day 29 - 33.\n                 |- Check for direct flight from Istanbul to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 33. Current plan: [Copenhagen, Edinburgh, Krakow, Barcelona, Florence, Amsterdam, Naples, Istanbul, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Edinburgh.\n**Day 4-8:** Visit Edinburgh for 5 days.\n**Day 8:** Fly from Edinburgh to Krakow.\n**Day 8-12:** Visit Krakow for 5 days.\n**Day 12:** Fly from Krakow to Barcelona.\n**Day 12-15:** Visit Barcelona for 4 days.\n**Day 15:** Fly from Barcelona to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.\n**Day 23:** Fly from Amsterdam to Naples.\n**Day 23-26:** Visit Naples for 4 days.\n**Day 26:** Fly from Naples to Istanbul.\n**Day 26-29:** Visit Istanbul for 4 days.\n**Day 29:** Fly from Istanbul to Tallinn.\n**Day 29-33:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Venice**Copenhagen**Barcelona**Reykjavik**Athens**Dubrovnik**Munich**Tallinn",
    "ground_truth_durations": "4**4**4**3**4**2**5**3**5",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You plan to stay in Barcelona for 3 days. You want to meet a friend in Barcelona between day 10 and day 12. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 7 and day 10. You plan to stay in Lyon for 4 days. You would like to visit Reykjavik for 4 days. You plan to stay in Dubrovnik for 5 days. You are going to attend a wedding in Dubrovnik between day 16 and day 20. You plan to stay in Athens for 2 days. You would like to visit Tallinn for 5 days. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Athens, Copenhagen and Dubrovnik, Munich and Tallinn, Copenhagen and Munich, Venice and Munich, from Reykjavik to Athens, Athens and Dubrovnik, Venice and Athens, Lyon and Barcelona, Copenhagen and Reykjavik, Reykjavik and Munich, Athens and Munich, Lyon and Munich, Barcelona and Reykjavik, Venice and Copenhagen, Barcelona and Dubrovnik, Lyon and Venice, Dubrovnik and Munich, Barcelona and Athens, Copenhagen and Barcelona, Venice and Barcelona, Barcelona and Munich, Barcelona and Tallinn, Copenhagen and Tallinn.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You plan to stay in Barcelona for 3 days. You want to meet a friend in Barcelona between day 10 and day 12. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 7 and day 10. You plan to stay in Lyon for 4 days. You would like to visit Reykjavik for 4 days. You plan to stay in Dubrovnik for 5 days. You are going to attend a wedding in Dubrovnik between day 16 and day 20. You plan to stay in Athens for 2 days. You would like to visit Tallinn for 5 days. You would like to visit Munich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Athens, from Copenhagen to Dubrovnik, from Munich to Tallinn, from Copenhagen to Munich, from Venice to Munich, from Reykjavik to Athens, from Athens to Dubrovnik, from Venice to Athens, from Lyon to Barcelona, from Copenhagen to Reykjavik, from Reykjavik to Munich, from Athens to Munich, from Lyon to Munich, from Barcelona to Reykjavik, from Venice to Copenhagen, from Barcelona to Dubrovnik, from Lyon to Venice, from Dubrovnik to Munich, from Barcelona to Athens, from Copenhagen to Barcelona, from Venice to Barcelona, from Barcelona to Munich, from Barcelona to Tallinn, from Copenhagen to Tallinn.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Copenhagen.\n**Day 7-10:** Visit Copenhagen for 4 days.\n**Day 10:** Fly from Copenhagen to Barcelona.\n**Day 10-12:** Visit Barcelona for 3 days.\n**Day 12:** Fly from Barcelona to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.\n**Day 15:** Fly from Reykjavik to Athens.\n**Day 15-16:** Visit Athens for 2 days.\n**Day 16:** Fly from Athens to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.\n**Day 20:** Fly from Dubrovnik to Munich.\n**Day 20-22:** Visit Munich for 3 days.\n**Day 22:** Fly from Munich to Tallinn.\n**Day 22-26:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1324",
    "estimated_output_tokens": 3771,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Lyon, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Athens, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 7 - 10.\n* City: Barcelona, Fixed Schedule: Day 10 - 12.\n* City: Dubrovnik, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Athens, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Lyon, Reykjavik, Athens, Tallinn, Munich] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 7 - 10).\n |- The departure day of Venice is Day 4. The arrival day of Copenhagen is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Athens, Tallinn, Munich] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 7 - 10).\n   |- The departure day of Athens is Day 5. The arrival day of Copenhagen is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Tallinn, Munich] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Athens to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 7 - 10).\n     |- The departure day of Munich is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Athens, Munich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Munich to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Venice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 7 - 10).\n   |- The departure day of Munich is Day 6. The arrival day of Copenhagen is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Athens, Tallinn] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Munich to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 7 - 10).\n     |- The departure day of Tallinn is Day 10. The arrival day of Copenhagen is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 7 - 10).\n |- The departure day of Lyon is Day 4. The arrival day of Copenhagen is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Athens, Tallinn, Munich] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 7 - 10).\n   |- The departure day of Venice is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Barcelona (Day 10 - 12).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Barcelona is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Venice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Barcelona.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Copenhagen to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 16 - 20).\n       |- The departure day of Barcelona is Day 12. The arrival day of Dubrovnik is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Venice, Copenhagen, Barcelona].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Athens, Tallinn, Munich] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Barcelona to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 16 - 20).\n         |- The departure day of Reykjavik is Day 15. The arrival day of Dubrovnik is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Lyon, Venice, Copenhagen, Barcelona, Reykjavik].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Tallinn, Munich] and explore these options in order.\n           |- Try arranging to visit Athens from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 16 - 20).\n           |- The departure day of Athens is Day 16. The arrival day of Dubrovnik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Venice, Copenhagen, Barcelona, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Athens to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lyon, Venice, Copenhagen, Barcelona, Reykjavik, Athens, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Munich] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Dubrovnik to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Munich from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Dubrovnik to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Lyon, Venice, Copenhagen, Barcelona, Reykjavik, Athens, Dubrovnik, Munich].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Munich to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Lyon, Venice, Copenhagen, Barcelona, Reykjavik, Athens, Dubrovnik, Munich, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Copenhagen.\n**Day 7-10:** Visit Copenhagen for 4 days.\n**Day 10:** Fly from Copenhagen to Barcelona.\n**Day 10-12:** Visit Barcelona for 3 days.\n**Day 12:** Fly from Barcelona to Reykjavik.\n**Day 12-15:** Visit Reykjavik for 4 days.\n**Day 15:** Fly from Reykjavik to Athens.\n**Day 15-16:** Visit Athens for 2 days.\n**Day 16:** Fly from Athens to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.\n**Day 20:** Fly from Dubrovnik to Munich.\n**Day 20-22:** Visit Munich for 3 days.\n**Day 22:** Fly from Munich to Tallinn.\n**Day 22-26:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Florence**Barcelona**Venice**Copenhagen**Oslo**Manchester**Budapest**Mykonos",
    "ground_truth_durations": "5**3**4**5**2**4**2**4**3",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 15,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Barcelona"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Manchester",
        "Budapest"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Budapest"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You have to attend a workshop in Copenhagen between day 14 and day 15. You plan to stay in Manchester for 2 days. You would like to visit Venice for 5 days. You plan to stay in Florence for 3 days. You would like to meet your friends at Florence between day 5 and day 7 to tour together. You would like to visit Budapest for 4 days. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Mykonos. You plan to stay in Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 7 and day 10. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 15 and day 18.\n\nHere are the cities that have direct flights:\nVenice and Copenhagen, Frankfurt and Copenhagen, Frankfurt and Barcelona, Frankfurt and Manchester, Budapest and Mykonos, Oslo and Budapest, Barcelona and Manchester, Copenhagen and Oslo, Florence and Barcelona, Oslo and Manchester, Venice and Manchester, Frankfurt and Florence, Manchester and Budapest, Venice and Oslo, Frankfurt and Budapest, Barcelona and Venice, Copenhagen and Manchester, Frankfurt and Venice, Barcelona and Oslo, Copenhagen and Budapest, Frankfurt and Oslo, Barcelona and Budapest, Barcelona and Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Copenhagen. You have to attend a workshop in Copenhagen between day 14 and day 15. You plan to stay in Manchester for 2 days. You would like to visit Venice for 5 days. You plan to stay in Florence for 3 days. You would like to meet your friends at Florence between day 5 and day 7 to tour together. You would like to visit Budapest for 4 days. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Mykonos. You plan to stay in Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 7 and day 10. You would like to visit Oslo for 4 days. You want to meet a friend in Oslo between day 15 and day 18.\n\nHere are the cities that have direct flights:\nfrom Venice to Copenhagen, from Frankfurt to Copenhagen, from Frankfurt to Barcelona, from Frankfurt to Manchester, from Budapest to Mykonos, from Oslo to Budapest, from Barcelona to Manchester, from Copenhagen to Oslo, from Florence to Barcelona, from Oslo to Manchester, from Venice to Manchester, from Frankfurt to Florence, from Manchester to Budapest, from Venice to Oslo, from Frankfurt to Budapest, from Barcelona to Venice, from Copenhagen to Manchester, from Frankfurt to Venice, from Barcelona to Oslo, from Copenhagen to Budapest, from Frankfurt to Oslo, from Barcelona to Budapest, from Barcelona to Copenhagen.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Florence.\n**Day 5-7:** Visit Florence for 3 days.\n**Day 7:** Fly from Florence to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Venice.\n**Day 10-14:** Visit Venice for 5 days.\n**Day 14:** Fly from Venice to Copenhagen.\n**Day 14-15:** Visit Copenhagen for 2 days.\n**Day 15:** Fly from Copenhagen to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Budapest.\n**Day 19-22:** Visit Budapest for 4 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-24:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1325",
    "estimated_output_tokens": 4033,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Manchester, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Budapest, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 5 - 7.\n* City: Barcelona, Fixed Schedule: Day 7 - 10.\n* City: Copenhagen, Fixed Schedule: Day 14 - 15.\n* City: Oslo, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Budapest, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Mykonos, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Venice, Budapest, Frankfurt, Mykonos] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 7).\n |- The departure day of Manchester is Day 2. The arrival day of Florence is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Budapest, Frankfurt, Mykonos] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Manchester to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 5 - 7).\n   |- The departure day of Budapest is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Budapest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Budapest to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 7).\n |- The departure day of Venice is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 7).\n |- The departure day of Budapest is Day 4. The arrival day of Florence is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Venice, Frankfurt, Mykonos] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Budapest to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Budapest to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Budapest to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Budapest to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 5 - 7).\n   |- The departure day of Mykonos is Day 6. The arrival day of Florence is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 7).\n |- The departure day of Frankfurt is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Frankfurt to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 7 - 10).\n   |- The departure day of Florence is Day 7. The arrival day of Barcelona is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Florence].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Florence to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 14 - 15).\n     |- The departure day of Barcelona is Day 10. The arrival day of Copenhagen is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Florence, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Venice, Budapest, Mykonos] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Barcelona to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 14 - 15).\n       |- The departure day of Manchester is Day 11. The arrival day of Copenhagen is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Florence, Barcelona, Manchester].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Budapest, Mykonos] and explore these options in order.\n         |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Manchester to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Manchester to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 14 - 15).\n         |- The departure day of Budapest is Day 14. The arrival day of Copenhagen is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Frankfurt, Florence, Barcelona, Manchester, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Budapest to Copenhagen.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Manchester to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 14 - 15).\n       |- The departure day of Venice is Day 14. The arrival day of Copenhagen is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Frankfurt, Florence, Barcelona, Venice].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Venice to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Oslo (Day 15 - 18).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Oslo is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Frankfurt, Florence, Barcelona, Venice, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Copenhagen to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Frankfurt, Florence, Barcelona, Venice, Copenhagen, Oslo].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Budapest, Mykonos] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Oslo to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Frankfurt, Florence, Barcelona, Venice, Copenhagen, Oslo, Manchester].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Budapest, Mykonos] and explore these options in order.\n               |- Try arranging to visit Budapest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Manchester to Budapest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Frankfurt, Florence, Barcelona, Venice, Copenhagen, Oslo, Manchester, Budapest].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Budapest to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Frankfurt, Florence, Barcelona, Venice, Copenhagen, Oslo, Manchester, Budapest, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Florence.\n**Day 5-7:** Visit Florence for 3 days.\n**Day 7:** Fly from Florence to Barcelona.\n**Day 7-10:** Visit Barcelona for 4 days.\n**Day 10:** Fly from Barcelona to Venice.\n**Day 10-14:** Visit Venice for 5 days.\n**Day 14:** Fly from Venice to Copenhagen.\n**Day 14-15:** Visit Copenhagen for 2 days.\n**Day 15:** Fly from Copenhagen to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Budapest.\n**Day 19-22:** Visit Budapest for 4 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-24:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Vilnius**Helsinki**Budapest**Reykjavik**Lisbon**Valencia**Milan**Santorini",
    "ground_truth_durations": "2**4**4**2**5**2**3**4**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Santorini"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Helsinki",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You want to spend 5 days in Santorini. You would like to visit Budapest for 2 days. You have to attend a workshop in Budapest between day 8 and day 9. You want to spend 3 days in Valencia. You plan to visit relatives in Valencia between day 14 and day 16. You want to spend 4 days in Milan. You plan to stay in Helsinki for 4 days. You would like to visit Vilnius for 4 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 13 and day 14. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nMilan and Santorini, Lisbon and Milan, Helsinki and Reykjavik, Budapest and Milan, from Tallinn to Vilnius, Reykjavik and Lisbon, Vilnius and Milan, Helsinki and Budapest, Vilnius and Helsinki, Valencia and Milan, Tallinn and Helsinki, Budapest and Reykjavik, Helsinki and Milan, Budapest and Lisbon, Reykjavik and Milan, Lisbon and Valencia, Helsinki and Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You want to spend 5 days in Santorini. You would like to visit Budapest for 2 days. You have to attend a workshop in Budapest between day 8 and day 9. You want to spend 3 days in Valencia. You plan to visit relatives in Valencia between day 14 and day 16. You want to spend 4 days in Milan. You plan to stay in Helsinki for 4 days. You would like to visit Vilnius for 4 days. You plan to stay in Lisbon for 2 days. You are going to attend a wedding in Lisbon between day 13 and day 14. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom Milan to Santorini, from Lisbon to Milan, from Helsinki to Reykjavik, from Budapest to Milan, from Tallinn to Vilnius, from Reykjavik to Lisbon, from Vilnius to Milan, from Helsinki to Budapest, from Vilnius to Helsinki, from Valencia to Milan, from Tallinn to Helsinki, from Budapest to Reykjavik, from Helsinki to Milan, from Budapest to Lisbon, from Reykjavik to Milan, from Lisbon to Valencia, from Helsinki to Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Budapest.\n**Day 8-9:** Visit Budapest for 2 days.\n**Day 9:** Fly from Budapest to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Milan.\n**Day 16-19:** Visit Milan for 4 days.\n**Day 19:** Fly from Milan to Santorini.\n**Day 19-23:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1326",
    "estimated_output_tokens": 7916,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Milan, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 8 - 9.\n* City: Lisbon, Fixed Schedule: Day 13 - 14.\n* City: Valencia, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Helsinki, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Helsinki, Vilnius, Tallinn] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Reykjavik is Day 5. The arrival day of Budapest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Milan, Helsinki, Vilnius, Tallinn] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Reykjavik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 9).\n   |- The departure day of Milan is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Milan].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Milan to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Reykjavik to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Santorini is Day 5. The arrival day of Budapest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan, Helsinki, Vilnius, Tallinn] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Milan is Day 4. The arrival day of Budapest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Helsinki, Vilnius, Tallinn] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Milan to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Santorini is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Milan, Santorini].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Santorini to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Milan to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Helsinki is Day 4. The arrival day of Budapest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Vilnius, Tallinn] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Reykjavik is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Helsinki, Reykjavik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Reykjavik to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Milan is Day 7. The arrival day of Budapest is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Vilnius, Tallinn] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 8 - 9).\n     |- The departure day of Santorini is Day 11. The arrival day of Budapest is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Helsinki to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Vilnius is Day 4. The arrival day of Budapest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Helsinki, Tallinn] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Milan is Day 7. The arrival day of Budapest is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Helsinki, Tallinn] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 8 - 9).\n     |- The departure day of Santorini is Day 11. The arrival day of Budapest is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 9).\n   |- The departure day of Helsinki is Day 7. The arrival day of Budapest is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Helsinki].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Tallinn] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Helsinki to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 8 - 9).\n     |- The departure day of Reykjavik is Day 11. The arrival day of Budapest is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Helsinki to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Budapest (Day 8 - 9).\n     |- The departure day of Milan is Day 10. The arrival day of Budapest is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Helsinki to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 9).\n |- The departure day of Tallinn is Day 2. The arrival day of Budapest is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Helsinki, Vilnius] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 8 - 9).\n   |- The departure day of Helsinki is Day 5. The arrival day of Budapest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Vilnius] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 9).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Budapest is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 9).\n     |- The departure day of Milan is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Helsinki, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Milan to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Helsinki to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Budapest (Day 8 - 9).\n   |- The departure day of Vilnius is Day 5. The arrival day of Budapest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan, Helsinki] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 9).\n     |- The departure day of Milan is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Vilnius, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Milan to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vilnius to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 9).\n     |- The departure day of Helsinki is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Vilnius, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Helsinki to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 13 - 14).\n       |- The departure day of Budapest is Day 9. The arrival day of Lisbon is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Tallinn, Vilnius, Helsinki, Budapest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini, Milan] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Budapest to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 13 - 14).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Lisbon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Vilnius, Helsinki, Budapest, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Reykjavik to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 14 - 16).\n           |- The departure day of Lisbon is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Vilnius, Helsinki, Budapest, Reykjavik, Lisbon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Lisbon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Tallinn, Vilnius, Helsinki, Budapest, Reykjavik, Lisbon, Valencia].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Milan] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Valencia to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Milan from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Valencia to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Tallinn, Vilnius, Helsinki, Budapest, Reykjavik, Lisbon, Valencia, Milan].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Milan to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Tallinn, Vilnius, Helsinki, Budapest, Reykjavik, Lisbon, Valencia, Milan, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Tallinn and visit Tallinn for 2 days.\n**Day 2:** Fly from Tallinn to Vilnius.\n**Day 2-5:** Visit Vilnius for 4 days.\n**Day 5:** Fly from Vilnius to Helsinki.\n**Day 5-8:** Visit Helsinki for 4 days.\n**Day 8:** Fly from Helsinki to Budapest.\n**Day 8-9:** Visit Budapest for 2 days.\n**Day 9:** Fly from Budapest to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Lisbon.\n**Day 13-14:** Visit Lisbon for 2 days.\n**Day 14:** Fly from Lisbon to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Milan.\n**Day 16-19:** Visit Milan for 4 days.\n**Day 19:** Fly from Milan to Santorini.\n**Day 19-23:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Vienna**Mykonos**Milan**Prague**Brussels**Seville**Madrid**Oslo",
    "ground_truth_durations": "3**3**5**3**4**2**2**2**4",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 15,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Brussels"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Vienna",
        "Milan"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Milan",
        "Madrid"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 3 days. You would like to visit Milan for 3 days. You want to spend 4 days in Prague. You would like to visit Madrid for 2 days. You plan to visit relatives in Madrid between day 16 and day 17. You plan to stay in Mykonos for 5 days. You plan to stay in Oslo for 4 days. You want to meet a friend in Oslo between day 17 and day 20. You want to spend 3 days in Dubrovnik. You plan to stay in Brussels for 2 days. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 15 and day 16.\n\nHere are the cities that have direct flights:\nPrague and Brussels, Milan and Oslo, Vienna and Milan, Mykonos and Madrid, Vienna and Oslo, Milan and Prague, Brussels and Seville, Brussels and Madrid, Dubrovnik and Oslo, Milan and Brussels, Prague and Oslo, Seville and Madrid, Madrid and Oslo, Milan and Madrid, Vienna and Madrid, Dubrovnik and Vienna, Prague and Madrid, Vienna and Seville, Vienna and Mykonos, Milan and Seville, Brussels and Oslo, Vienna and Brussels, Mykonos and Milan, Vienna and Prague, Dubrovnik and Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Vienna for 3 days. You would like to visit Milan for 3 days. You want to spend 4 days in Prague. You would like to visit Madrid for 2 days. You plan to visit relatives in Madrid between day 16 and day 17. You plan to stay in Mykonos for 5 days. You plan to stay in Oslo for 4 days. You want to meet a friend in Oslo between day 17 and day 20. You want to spend 3 days in Dubrovnik. You plan to stay in Brussels for 2 days. You would like to visit Seville for 2 days. You have to attend a workshop in Seville between day 15 and day 16.\n\nHere are the cities that have direct flights:\nfrom Prague to Brussels, from Milan to Oslo, from Vienna to Milan, from Mykonos to Madrid, from Vienna to Oslo, from Milan to Prague, from Brussels to Seville, from Brussels to Madrid, from Dubrovnik to Oslo, from Milan to Brussels, from Prague to Oslo, from Seville to Madrid, from Madrid to Oslo, from Milan to Madrid, from Vienna to Madrid, from Dubrovnik to Vienna, from Prague to Madrid, from Vienna to Seville, from Vienna to Mykonos, from Milan to Seville, from Brussels to Oslo, from Vienna to Brussels, from Mykonos to Milan, from Vienna to Prague, from Dubrovnik to Madrid.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Mykonos.\n**Day 5-9:** Visit Mykonos for 5 days.\n**Day 9:** Fly from Mykonos to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Brussels.\n**Day 14-15:** Visit Brussels for 2 days.\n**Day 15:** Fly from Brussels to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Madrid.\n**Day 16-17:** Visit Madrid for 2 days.\n**Day 17:** Fly from Madrid to Oslo.\n**Day 17-20:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_1327",
    "estimated_output_tokens": 12315,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Mykonos, Duration: 5 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Dubrovnik, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 15 - 16.\n* City: Madrid, Fixed Schedule: Day 16 - 17.\n* City: Oslo, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Vienna, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vienna, Milan, Prague, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 15 - 16).\n |- The departure day of Vienna is Day 3. The arrival day of Seville is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Prague, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Milan is Day 5. The arrival day of Seville is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n     |- The departure day of Prague is Day 8. The arrival day of Seville is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Dubrovnik, Brussels] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Prague to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 15 - 16).\n       |- The departure day of Brussels is Day 9. The arrival day of Seville is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Milan, Prague, Brussels].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Brussels to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n     |- The departure day of Brussels is Day 6. The arrival day of Seville is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Vienna, Milan, Brussels].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Brussels to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Brussels to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Prague is Day 6. The arrival day of Seville is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 15 - 16).\n     |- The departure day of Brussels is Day 7. The arrival day of Seville is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Prague, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Brussels to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vienna to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Mykonos is Day 7. The arrival day of Seville is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vienna, Mykonos].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Prague, Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Mykonos to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 15 - 16).\n     |- The departure day of Milan is Day 9. The arrival day of Seville is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Vienna, Mykonos, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Dubrovnik, Brussels] and explore these options in order.\n       |- Try arranging to visit Prague from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 15 - 16).\n       |- The departure day of Prague is Day 12. The arrival day of Seville is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vienna, Mykonos, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Prague to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Prague to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 15 - 16).\n         |- The departure day of Brussels is Day 13. The arrival day of Seville is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Mykonos, Milan, Prague, Brussels].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Brussels to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Milan to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 15 - 16).\n       |- The departure day of Brussels is Day 10. The arrival day of Seville is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Mykonos, Milan, Brussels].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Prague from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Brussels to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Brussels to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Mykonos to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Mykonos to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Mykonos to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vienna to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Brussels is Day 4. The arrival day of Seville is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vienna, Brussels].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Prague, Mykonos, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Brussels to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Brussels to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Brussels to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Brussels to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 15 - 16).\n |- The departure day of Milan is Day 3. The arrival day of Seville is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Prague, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Prague is Day 6. The arrival day of Seville is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 15 - 16).\n     |- The departure day of Brussels is Day 7. The arrival day of Seville is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Prague, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Mykonos, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Brussels to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Brussels is Day 4. The arrival day of Seville is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Brussels].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Prague, Mykonos, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Brussels to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Brussels to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Brussels to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Brussels to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 15 - 16).\n |- The departure day of Prague is Day 4. The arrival day of Seville is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Milan, Mykonos, Dubrovnik, Brussels] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Prague to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Prague to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Prague to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 15 - 16).\n   |- The departure day of Brussels is Day 5. The arrival day of Seville is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Brussels].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Milan, Mykonos, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Brussels to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Brussels to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Brussels to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Brussels to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 15 - 16).\n |- The departure day of Mykonos is Day 5. The arrival day of Seville is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Milan, Prague, Dubrovnik, Brussels] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n   |- The departure day of Milan is Day 7. The arrival day of Seville is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Prague, Dubrovnik, Brussels] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Milan to Vienna.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 15 - 16).\n     |- The departure day of Prague is Day 10. The arrival day of Seville is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik, Brussels] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 15 - 16).\n       |- The departure day of Brussels is Day 11. The arrival day of Seville is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Milan, Prague, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Brussels to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Brussels to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 15 - 16).\n     |- The departure day of Brussels is Day 8. The arrival day of Seville is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Milan, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Prague, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Brussels to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Dubrovnik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 15 - 16).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Seville is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Milan, Prague, Mykonos, Brussels] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 15 - 16).\n   |- The departure day of Vienna is Day 5. The arrival day of Seville is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Prague, Mykonos, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n     |- The departure day of Milan is Day 7. The arrival day of Seville is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Vienna, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos, Brussels] and explore these options in order.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 15 - 16).\n       |- The departure day of Prague is Day 10. The arrival day of Seville is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Dubrovnik, Vienna, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Brussels] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Prague to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 15 - 16).\n         |- The departure day of Brussels is Day 11. The arrival day of Seville is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Vienna, Milan, Prague, Brussels].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Brussels to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 15 - 16).\n       |- The departure day of Brussels is Day 8. The arrival day of Seville is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dubrovnik, Vienna, Milan, Brussels].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Mykonos] and explore these options in order.\n         |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Brussels to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n     |- The departure day of Prague is Day 8. The arrival day of Seville is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Vienna, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos, Brussels] and explore these options in order.\n       |- Try arranging to visit Milan from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Prague to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Prague to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 15 - 16).\n       |- The departure day of Brussels is Day 9. The arrival day of Seville is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Dubrovnik, Vienna, Prague, Brussels].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos] and explore these options in order.\n         |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Brussels to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 15 - 16).\n     |- The departure day of Mykonos is Day 9. The arrival day of Seville is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dubrovnik, Vienna, Mykonos].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Prague, Brussels] and explore these options in order.\n       |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Mykonos to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 15 - 16).\n       |- The departure day of Milan is Day 11. The arrival day of Seville is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Vienna, Mykonos, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Brussels] and explore these options in order.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Milan to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 15 - 16).\n         |- The departure day of Prague is Day 14. The arrival day of Seville is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Vienna, Mykonos, Milan, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Prague to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 15 - 16).\n           |- The departure day of Brussels is Day 15. The arrival day of Seville is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dubrovnik, Vienna, Mykonos, Milan, Prague, Brussels].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Brussels to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Madrid (Day 16 - 17).\n             |- The departure day of Seville is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Dubrovnik, Vienna, Mykonos, Milan, Prague, Brussels, Seville].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n               |- Try arranging to visit Madrid from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Seville to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Oslo (Day 17 - 20).\n               |- The departure day of Madrid is Day 17. The arrival day of Oslo is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Dubrovnik, Vienna, Mykonos, Milan, Prague, Brussels, Seville, Madrid].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Oslo.\n                 |- Try arranging to visit Oslo from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Madrid to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Dubrovnik, Vienna, Mykonos, Milan, Prague, Brussels, Seville, Madrid, Oslo].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dubrovnik and visit Dubrovnik for 3 days.\n**Day 3:** Fly from Dubrovnik to Vienna.\n**Day 3-5:** Visit Vienna for 3 days.\n**Day 5:** Fly from Vienna to Mykonos.\n**Day 5-9:** Visit Mykonos for 5 days.\n**Day 9:** Fly from Mykonos to Milan.\n**Day 9-11:** Visit Milan for 3 days.\n**Day 11:** Fly from Milan to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Brussels.\n**Day 14-15:** Visit Brussels for 2 days.\n**Day 15:** Fly from Brussels to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Madrid.\n**Day 16-17:** Visit Madrid for 2 days.\n**Day 17:** Fly from Madrid to Oslo.\n**Day 17-20:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Valencia**Geneva**Mykonos**Munich**Seville**Amsterdam**Florence**London",
    "ground_truth_durations": "5**2**3**4**2**3**2**5**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "London"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Amsterdam",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 2 days. You would like to visit Amsterdam for 2 days. You plan to stay in London for 4 days. You plan to stay in Geneva for 3 days. You plan to stay in Mykonos for 4 days. You would like to meet your friends at Mykonos between day 8 and day 11 to tour together. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 15 and day 19. You would like to visit Seville for 3 days. You plan to stay in Lyon for 5 days. During day 1 and day 5, you have to attend a conference in Lyon. You want to spend 2 days in Munich.\n\nHere are the cities that have direct flights:\nGeneva and Amsterdam, Geneva and Munich, Munich and Seville, Valencia and Amsterdam, Lyon and Amsterdam, Mykonos and London, Munich and London, Lyon and Munich, Mykonos and Amsterdam, Lyon and Valencia, Valencia and Geneva, Valencia and Seville, Geneva and London, Mykonos and Munich, Florence and London, Geneva and Mykonos, Munich and Amsterdam, Valencia and London, Valencia and Munich, Seville and Amsterdam, from Florence to Munich, Amsterdam and Florence, Lyon and London, Amsterdam and London.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Valencia for 2 days. You would like to visit Amsterdam for 2 days. You plan to stay in London for 4 days. You plan to stay in Geneva for 3 days. You plan to stay in Mykonos for 4 days. You would like to meet your friends at Mykonos between day 8 and day 11 to tour together. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 15 and day 19. You would like to visit Seville for 3 days. You plan to stay in Lyon for 5 days. During day 1 and day 5, you have to attend a conference in Lyon. You want to spend 2 days in Munich.\n\nHere are the cities that have direct flights:\nfrom Geneva to Amsterdam, from Geneva to Munich, from Munich to Seville, from Valencia to Amsterdam, from Lyon to Amsterdam, from Mykonos to London, from Munich to London, from Lyon to Munich, from Mykonos to Amsterdam, from Lyon to Valencia, from Valencia to Geneva, from Valencia to Seville, from Geneva to London, from Mykonos to Munich, from Florence to London, from Geneva to Mykonos, from Munich to Amsterdam, from Valencia to London, from Valencia to Munich, from Seville to Amsterdam, from Florence to Munich, from Amsterdam to Florence, from Lyon to London, from Amsterdam to London.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.\n**Day 11:** Fly from Mykonos to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Seville.\n**Day 12-14:** Visit Seville for 3 days.\n**Day 14:** Fly from Seville to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to London.\n**Day 19-22:** Visit London for 4 days.",
    "id": "trip_planning_example_1328",
    "estimated_output_tokens": 4483,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: London, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n* City: Mykonos, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Seville, Duration: 3 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 5.\n* City: Mykonos, Fixed Schedule: Day 8 - 11.\n* City: Florence, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Valencia, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: London, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n* City: Seville, Duration: 3 days.\n* City: Munich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 8 - 11).\n |- The departure day of Lyon is Day 5. The arrival day of Mykonos is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Amsterdam, London, Geneva, Seville, Munich] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 8 - 11).\n   |- The departure day of Valencia is Day 6. The arrival day of Mykonos is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, London, Geneva, Seville, Munich] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Valencia to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 8 - 11).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Mykonos is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Valencia, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Geneva, Seville, Munich] and explore these options in order.\n       |- Try arranging to visit London from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 8 - 11).\n       |- The departure day of London is Day 10. The arrival day of Mykonos is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Amsterdam to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 8 - 11).\n     |- The departure day of London is Day 9. The arrival day of Mykonos is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 8 - 11).\n     |- The departure day of Geneva is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Valencia, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 15 - 19).\n       |- The departure day of Mykonos is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Valencia, Geneva, Mykonos].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, London, Seville, Munich] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Mykonos to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 19).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Florence is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lyon, Valencia, Geneva, Mykonos, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Seville, Munich] and explore these options in order.\n           |- Try arranging to visit London from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 15 - 19).\n           |- The departure day of London is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Valencia, Geneva, Mykonos, Amsterdam, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from London to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Amsterdam to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Amsterdam to Munich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Mykonos to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 19).\n         |- The departure day of London is Day 14. The arrival day of Florence is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Valencia, Geneva, Mykonos, London].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Seville, Munich] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from London to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from London to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from London to Munich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Mykonos to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Mykonos to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 19).\n         |- The departure day of Munich is Day 12. The arrival day of Florence is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, London, Seville] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Munich to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 15 - 19).\n           |- The departure day of Amsterdam is Day 13. The arrival day of Florence is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, Amsterdam].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London, Seville] and explore these options in order.\n             |- Try arranging to visit London from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Amsterdam to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 19).\n             |- The departure day of London is Day 16. The arrival day of Florence is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Amsterdam to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit London from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Munich to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 15 - 19).\n           |- The departure day of London is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from London to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Munich to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 15 - 19).\n           |- The departure day of Seville is Day 14. The arrival day of Florence is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, Seville].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, London] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Seville to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 15 - 19).\n             |- The departure day of Amsterdam is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, Seville, Amsterdam].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Amsterdam to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, Seville, Amsterdam, Florence].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n                 |- Try arranging to visit London from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Florence to London.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Lyon, Valencia, Geneva, Mykonos, Munich, Seville, Amsterdam, Florence, London].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Mykonos.\n**Day 8-11:** Visit Mykonos for 4 days.\n**Day 11:** Fly from Mykonos to Munich.\n**Day 11-12:** Visit Munich for 2 days.\n**Day 12:** Fly from Munich to Seville.\n**Day 12-14:** Visit Seville for 3 days.\n**Day 14:** Fly from Seville to Amsterdam.\n**Day 14-15:** Visit Amsterdam for 2 days.\n**Day 15:** Fly from Amsterdam to Florence.\n**Day 15-19:** Visit Florence for 5 days.\n**Day 19:** Fly from Florence to London.\n**Day 19-22:** Visit London for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Santorini**Barcelona**Dubrovnik**Stockholm**Krakow**Warsaw**Budapest**Prague",
    "ground_truth_durations": "3**4**5**3**4**2**3**4**3",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Budapest",
        "Prague"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London. You plan to stay in Stockholm for 4 days. You want to spend 2 days in Krakow. You plan to stay in Prague for 3 days. You would like to meet your friends at Prague between day 21 and day 23 to tour together. You want to spend 4 days in Budapest. You plan to stay in Dubrovnik for 3 days. You would like to visit Warsaw for 3 days. You plan to stay in Barcelona for 5 days.\n\nHere are the cities that have direct flights:\nKrakow and Warsaw, from Stockholm to Santorini, London and Barcelona, Barcelona and Warsaw, Barcelona and Prague, Stockholm and Warsaw, London and Stockholm, Stockholm and Krakow, Barcelona and Stockholm, Stockholm and Prague, London and Santorini, London and Warsaw, Barcelona and Krakow, Santorini and Barcelona, Warsaw and Budapest, Barcelona and Budapest, Warsaw and Prague, Barcelona and Dubrovnik, London and Krakow, London and Budapest, London and Prague, Krakow and Prague, Budapest and Prague, Dubrovnik and Stockholm.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 4 days. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London. You plan to stay in Stockholm for 4 days. You want to spend 2 days in Krakow. You plan to stay in Prague for 3 days. You would like to meet your friends at Prague between day 21 and day 23 to tour together. You want to spend 4 days in Budapest. You plan to stay in Dubrovnik for 3 days. You would like to visit Warsaw for 3 days. You plan to stay in Barcelona for 5 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Warsaw, from Stockholm to Santorini, from London to Barcelona, from Barcelona to Warsaw, from Barcelona to Prague, from Stockholm to Warsaw, from London to Stockholm, from Stockholm to Krakow, from Barcelona to Stockholm, from Stockholm to Prague, from London to Santorini, from London to Warsaw, from Barcelona to Krakow, from Santorini to Barcelona, from Warsaw to Budapest, from Barcelona to Budapest, from Warsaw to Prague, from Barcelona to Dubrovnik, from London to Krakow, from London to Budapest, from London to Prague, from Krakow to Prague, from Budapest to Prague, from Dubrovnik to Stockholm.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Santorini.\n**Day 3-6:** Visit Santorini for 4 days.\n**Day 6:** Fly from Santorini to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Stockholm.\n**Day 12-15:** Visit Stockholm for 4 days.\n**Day 15:** Fly from Stockholm to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Budapest.\n**Day 18-21:** Visit Budapest for 4 days.\n**Day 21:** Fly from Budapest to Prague.\n**Day 21-23:** Visit Prague for 3 days.",
    "id": "trip_planning_example_1329",
    "estimated_output_tokens": 5850,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 4 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Stockholm, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Budapest, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Barcelona, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n* City: Prague, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Budapest, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Barcelona, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 21 - 23).\n |- The departure day of London is Day 3. The arrival day of Prague is Day 21. Day 3 is not later than (<=) Day 21. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm, Krakow, Budapest, Dubrovnik, Warsaw, Barcelona] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 21 - 23).\n   |- The departure day of Santorini is Day 6. The arrival day of Prague is Day 21. Day 6 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Santorini].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Krakow, Budapest, Dubrovnik, Warsaw, Barcelona] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Santorini to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Santorini to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Santorini to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Santorini to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Prague (Day 21 - 23).\n     |- The departure day of Barcelona is Day 10. The arrival day of Prague is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Santorini, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Krakow, Budapest, Dubrovnik, Warsaw] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Barcelona to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 21 - 23).\n       |- The departure day of Stockholm is Day 13. The arrival day of Prague is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Santorini, Barcelona, Stockholm].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Dubrovnik, Warsaw] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Stockholm to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Prague (Day 21 - 23).\n         |- The departure day of Krakow is Day 14. The arrival day of Prague is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [London, Santorini, Barcelona, Stockholm, Krakow].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Dubrovnik, Warsaw] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Krakow to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Krakow to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Krakow to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Prague (Day 21 - 23).\n           |- The departure day of Warsaw is Day 16. The arrival day of Prague is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [London, Santorini, Barcelona, Stockholm, Krakow, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Warsaw to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Prague (Day 21 - 23).\n             |- The departure day of Budapest is Day 19. The arrival day of Prague is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [London, Santorini, Barcelona, Stockholm, Krakow, Warsaw, Budapest].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Budapest to Dubrovnik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Warsaw to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Stockholm to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Stockholm to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Prague (Day 21 - 23).\n         |- The departure day of Warsaw is Day 15. The arrival day of Prague is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Santorini, Barcelona, Stockholm, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Warsaw to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Warsaw to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Prague (Day 21 - 23).\n           |- The departure day of Budapest is Day 18. The arrival day of Prague is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [London, Santorini, Barcelona, Stockholm, Warsaw, Budapest].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Budapest to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Budapest to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Warsaw to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Barcelona to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 21 - 23).\n       |- The departure day of Krakow is Day 11. The arrival day of Prague is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Santorini, Barcelona, Krakow].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Budapest, Dubrovnik, Warsaw] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Krakow to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Krakow to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Krakow to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Krakow to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Prague (Day 21 - 23).\n         |- The departure day of Warsaw is Day 13. The arrival day of Prague is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Santorini, Barcelona, Krakow, Warsaw].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Budapest, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Warsaw to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Warsaw to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Prague (Day 21 - 23).\n           |- The departure day of Budapest is Day 16. The arrival day of Prague is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [London, Santorini, Barcelona, Krakow, Warsaw, Budapest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Budapest to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Budapest to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Warsaw to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Barcelona to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 21 - 23).\n       |- The departure day of Budapest is Day 13. The arrival day of Prague is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Santorini, Barcelona, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Krakow, Dubrovnik, Warsaw] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Budapest to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Budapest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Budapest to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Budapest to Warsaw.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Barcelona to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 21 - 23).\n       |- The departure day of Dubrovnik is Day 12. The arrival day of Prague is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [London, Santorini, Barcelona, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Krakow, Budapest, Warsaw] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Dubrovnik to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Prague (Day 21 - 23).\n         |- The departure day of Stockholm is Day 15. The arrival day of Prague is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Santorini, Barcelona, Dubrovnik, Stockholm].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Warsaw] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Stockholm to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Prague (Day 21 - 23).\n           |- The departure day of Krakow is Day 16. The arrival day of Prague is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [London, Santorini, Barcelona, Dubrovnik, Stockholm, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest, Warsaw] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Krakow to Budapest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Krakow to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Prague (Day 21 - 23).\n             |- The departure day of Warsaw is Day 18. The arrival day of Prague is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [London, Santorini, Barcelona, Dubrovnik, Stockholm, Krakow, Warsaw].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n               |- Try arranging to visit Budapest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Warsaw to Budapest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Prague (Day 21 - 23).\n               |- The departure day of Budapest is Day 21. The arrival day of Prague is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [London, Santorini, Barcelona, Dubrovnik, Stockholm, Krakow, Warsaw, Budapest].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Prague.\n                 |- Try arranging to visit Prague from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Budapest to Prague.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [London, Santorini, Barcelona, Dubrovnik, Stockholm, Krakow, Warsaw, Budapest, Prague].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Santorini.\n**Day 3-6:** Visit Santorini for 4 days.\n**Day 6:** Fly from Santorini to Barcelona.\n**Day 6-10:** Visit Barcelona for 5 days.\n**Day 10:** Fly from Barcelona to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Stockholm.\n**Day 12-15:** Visit Stockholm for 4 days.\n**Day 15:** Fly from Stockholm to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Budapest.\n**Day 18-21:** Visit Budapest for 4 days.\n**Day 21:** Fly from Budapest to Prague.\n**Day 21-23:** Visit Prague for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Venice**Nice**Zurich**Bucharest**Copenhagen**Brussels**Naples",
    "ground_truth_durations": "2**4**5**3**5**4**4**2**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 22,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Nice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 2 days. You want to spend 5 days in Venice. You would like to visit Bucharest for 4 days. You would like to visit Brussels for 2 days. You would like to meet your friends at Brussels between day 21 and day 22 to tour together. You want to spend 4 days in Hamburg. You want to spend 4 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 18 and day 21. You plan to stay in Nice for 3 days. You plan to visit relatives in Nice between day 9 and day 11. You plan to stay in Zurich for 5 days. You plan to stay in Naples for 4 days. You have to attend a workshop in Naples between day 22 and day 25.\n\nHere are the cities that have direct flights:\nZurich and Brussels, Bucharest and Copenhagen, Venice and Brussels, Nice and Zurich, Hamburg and Nice, Zurich and Naples, Hamburg and Bucharest, Zurich and Copenhagen, Bucharest and Brussels, Hamburg and Brussels, Venice and Naples, Venice and Copenhagen, Bucharest and Naples, Hamburg and Copenhagen, Venice and Zurich, Nice and Brussels, Hamburg and Venice, Copenhagen and Naples, Nice and Naples, Hamburg and Zurich, Salzburg and Hamburg, Zurich and Bucharest, Brussels and Naples, Copenhagen and Brussels, Venice and Nice, Nice and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 2 days. You want to spend 5 days in Venice. You would like to visit Bucharest for 4 days. You would like to visit Brussels for 2 days. You would like to meet your friends at Brussels between day 21 and day 22 to tour together. You want to spend 4 days in Hamburg. You want to spend 4 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 18 and day 21. You plan to stay in Nice for 3 days. You plan to visit relatives in Nice between day 9 and day 11. You plan to stay in Zurich for 5 days. You plan to stay in Naples for 4 days. You have to attend a workshop in Naples between day 22 and day 25.\n\nHere are the cities that have direct flights:\nfrom Zurich to Brussels, from Bucharest to Copenhagen, from Venice to Brussels, from Nice to Zurich, from Hamburg to Nice, from Zurich to Naples, from Hamburg to Bucharest, from Zurich to Copenhagen, from Bucharest to Brussels, from Hamburg to Brussels, from Venice to Naples, from Venice to Copenhagen, from Bucharest to Naples, from Hamburg to Copenhagen, from Venice to Zurich, from Nice to Brussels, from Hamburg to Venice, from Copenhagen to Naples, from Nice to Naples, from Hamburg to Zurich, from Salzburg to Hamburg, from Zurich to Bucharest, from Brussels to Naples, from Copenhagen to Brussels, from Venice to Nice, from Nice to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-11:** Visit Nice for 3 days.\n**Day 11:** Fly from Nice to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Bucharest.\n**Day 15-18:** Visit Bucharest for 4 days.\n**Day 18:** Fly from Bucharest to Copenhagen.\n**Day 18-21:** Visit Copenhagen for 4 days.\n**Day 21:** Fly from Copenhagen to Brussels.\n**Day 21-22:** Visit Brussels for 2 days.\n**Day 22:** Fly from Brussels to Naples.\n**Day 22-25:** Visit Naples for 4 days.",
    "id": "trip_planning_example_1330",
    "estimated_output_tokens": 2420,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Hamburg, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Zurich, Duration: 5 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 9 - 11.\n* City: Copenhagen, Fixed Schedule: Day 18 - 21.\n* City: Brussels, Fixed Schedule: Day 21 - 22.\n* City: Naples, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Venice, Bucharest, Hamburg, Zurich] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 9 - 11).\n |- The departure day of Salzburg is Day 2. The arrival day of Nice is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Bucharest, Hamburg, Zurich] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Salzburg to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 9 - 11).\n   |- The departure day of Hamburg is Day 5. The arrival day of Nice is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Bucharest, Zurich] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 9 - 11).\n     |- The departure day of Venice is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Salzburg, Hamburg, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 18 - 21).\n       |- The departure day of Nice is Day 11. The arrival day of Copenhagen is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Hamburg, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Nice to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Nice to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 18 - 21).\n         |- The departure day of Zurich is Day 15. The arrival day of Copenhagen is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Salzburg, Hamburg, Venice, Nice, Zurich].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Zurich to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Copenhagen (Day 18 - 21).\n           |- The departure day of Bucharest is Day 18. The arrival day of Copenhagen is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Salzburg, Hamburg, Venice, Nice, Zurich, Bucharest].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Copenhagen.\n             |- Try arranging to visit Copenhagen from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Bucharest to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Brussels (Day 21 - 22).\n             |- The departure day of Copenhagen is Day 21. The arrival day of Brussels is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Salzburg, Hamburg, Venice, Nice, Zurich, Bucharest, Copenhagen].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Brussels.\n               |- Try arranging to visit Brussels from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Copenhagen to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Naples (Day 22 - 25).\n               |- The departure day of Brussels is Day 22. The arrival day of Naples is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Salzburg, Hamburg, Venice, Nice, Zurich, Bucharest, Copenhagen, Brussels].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Naples.\n                 |- Try arranging to visit Naples from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Brussels to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Salzburg, Hamburg, Venice, Nice, Zurich, Bucharest, Copenhagen, Brussels, Naples].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-11:** Visit Nice for 3 days.\n**Day 11:** Fly from Nice to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Bucharest.\n**Day 15-18:** Visit Bucharest for 4 days.\n**Day 18:** Fly from Bucharest to Copenhagen.\n**Day 18-21:** Visit Copenhagen for 4 days.\n**Day 21:** Fly from Copenhagen to Brussels.\n**Day 21-22:** Visit Brussels for 2 days.\n**Day 22:** Fly from Brussels to Naples.\n**Day 22-25:** Visit Naples for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Vienna**Lyon**Venice**Santorini**Manchester**Stuttgart**Barcelona**Tallinn",
    "ground_truth_durations": "2**5**4**3**2**3**3**2**3",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Manchester. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 2 and day 6. You plan to stay in Santorini for 2 days. You are going to attend a wedding in Santorini between day 11 and day 12. You would like to visit Stuttgart for 3 days. From day 14 to day 16, there is a annual show you want to attend in Stuttgart. You plan to stay in Lyon for 4 days. You would like to visit Barcelona for 2 days. You would like to visit Florence for 2 days. During day 1 and day 2, you have to attend a conference in Florence. You plan to stay in Venice for 3 days.\n\nHere are the cities that have direct flights:\nVenice and Barcelona, Manchester and Barcelona, Venice and Manchester, Stuttgart and Barcelona, Barcelona and Tallinn, Vienna and Stuttgart, Florence and Vienna, Lyon and Venice, Vienna and Barcelona, Vienna and Santorini, Santorini and Barcelona, Santorini and Manchester, Florence and Barcelona, Manchester and Stuttgart, Vienna and Venice, Vienna and Manchester, Vienna and Lyon, Lyon and Barcelona, Venice and Stuttgart, Venice and Santorini.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Manchester. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 2 and day 6. You plan to stay in Santorini for 2 days. You are going to attend a wedding in Santorini between day 11 and day 12. You would like to visit Stuttgart for 3 days. From day 14 to day 16, there is a annual show you want to attend in Stuttgart. You plan to stay in Lyon for 4 days. You would like to visit Barcelona for 2 days. You would like to visit Florence for 2 days. During day 1 and day 2, you have to attend a conference in Florence. You plan to stay in Venice for 3 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Barcelona, from Manchester to Barcelona, from Venice to Manchester, from Stuttgart to Barcelona, from Barcelona to Tallinn, from Vienna to Stuttgart, from Florence to Vienna, from Lyon to Venice, from Vienna to Barcelona, from Vienna to Santorini, from Santorini to Barcelona, from Santorini to Manchester, from Florence to Barcelona, from Manchester to Stuttgart, from Vienna to Venice, from Vienna to Manchester, from Vienna to Lyon, from Lyon to Barcelona, from Venice to Stuttgart, from Venice to Santorini.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Vienna.\n**Day 2-6:** Visit Vienna for 5 days.\n**Day 6:** Fly from Vienna to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Venice.\n**Day 9-11:** Visit Venice for 3 days.\n**Day 11:** Fly from Venice to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Manchester.\n**Day 12-14:** Visit Manchester for 3 days.\n**Day 14:** Fly from Manchester to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Barcelona.\n**Day 16-17:** Visit Barcelona for 2 days.\n**Day 17:** Fly from Barcelona to Tallinn.\n**Day 17-19:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1331",
    "estimated_output_tokens": 3841,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Lyon, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Venice, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 2.\n* City: Vienna, Fixed Schedule: Day 2 - 6.\n* City: Santorini, Fixed Schedule: Day 11 - 12.\n* City: Stuttgart, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 2 - 6).\n |- The departure day of Florence is Day 2. The arrival day of Vienna is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 11 - 12).\n   |- The departure day of Vienna is Day 6. The arrival day of Santorini is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Lyon, Barcelona, Venice] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vienna to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 11 - 12).\n     |- The departure day of Manchester is Day 8. The arrival day of Santorini is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Vienna, Manchester].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Barcelona, Venice] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Manchester to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 11 - 12).\n       |- The departure day of Barcelona is Day 9. The arrival day of Santorini is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Vienna, Manchester, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Venice] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 11 - 12).\n         |- The departure day of Tallinn is Day 11. The arrival day of Santorini is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Vienna, Manchester, Barcelona, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Santorini.\n           |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Tallinn to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Barcelona to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Barcelona to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Manchester to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vienna to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 11 - 12).\n     |- The departure day of Lyon is Day 9. The arrival day of Santorini is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Vienna, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Barcelona, Venice] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lyon to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 11 - 12).\n       |- The departure day of Barcelona is Day 10. The arrival day of Santorini is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Vienna, Lyon, Barcelona].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Venice] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 11 - 12).\n         |- The departure day of Tallinn is Day 12. The arrival day of Santorini is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Barcelona to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Barcelona to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 11 - 12).\n       |- The departure day of Venice is Day 11. The arrival day of Santorini is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Vienna, Lyon, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Venice to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 14 - 16).\n         |- The departure day of Santorini is Day 12. The arrival day of Stuttgart is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Florence, Vienna, Lyon, Venice, Santorini].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Manchester, Barcelona] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Santorini to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Santorini to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 14 - 16).\n           |- The departure day of Manchester is Day 14. The arrival day of Stuttgart is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Vienna, Lyon, Venice, Santorini, Manchester].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Manchester to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Vienna, Lyon, Venice, Santorini, Manchester, Stuttgart].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Stuttgart to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Barcelona from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Stuttgart to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Florence, Vienna, Lyon, Venice, Santorini, Manchester, Stuttgart, Barcelona].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Barcelona to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Florence, Vienna, Lyon, Venice, Santorini, Manchester, Stuttgart, Barcelona, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Vienna.\n**Day 2-6:** Visit Vienna for 5 days.\n**Day 6:** Fly from Vienna to Lyon.\n**Day 6-9:** Visit Lyon for 4 days.\n**Day 9:** Fly from Lyon to Venice.\n**Day 9-11:** Visit Venice for 3 days.\n**Day 11:** Fly from Venice to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Manchester.\n**Day 12-14:** Visit Manchester for 3 days.\n**Day 14:** Fly from Manchester to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Barcelona.\n**Day 16-17:** Visit Barcelona for 2 days.\n**Day 17:** Fly from Barcelona to Tallinn.\n**Day 17-19:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Lyon**Bucharest**Riga**Copenhagen**Split**Athens**Hamburg**Salzburg",
    "ground_truth_durations": "2**2**2**3**4**2**4**2**5",
    "num_cities": 9,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 9,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Split"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Lyon",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. During day 3 and day 4, you have to attend a conference in Bucharest. You would like to visit Copenhagen for 4 days. You would like to visit Salzburg for 5 days. From day 14 to day 18, there is a annual show you want to attend in Salzburg. You would like to visit Prague for 2 days. You plan to stay in Hamburg for 2 days. You plan to stay in Lyon for 2 days. You are going to attend a wedding in Lyon between day 2 and day 3. You want to spend 3 days in Riga. You plan to stay in Athens for 4 days. You would like to visit Split for 2 days. You want to meet a friend in Split between day 9 and day 10.\n\nHere are the cities that have direct flights:\nLyon and Split, Prague and Copenhagen, from Riga to Hamburg, Copenhagen and Athens, Prague and Athens, from Athens to Riga, Copenhagen and Split, Bucharest and Athens, Athens and Hamburg, Split and Athens, Prague and Riga, Hamburg and Salzburg, Split and Hamburg, Riga and Copenhagen, Prague and Lyon, Bucharest and Hamburg, Copenhagen and Hamburg, Prague and Split, Prague and Bucharest, Bucharest and Riga, Bucharest and Copenhagen, Lyon and Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 18 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. During day 3 and day 4, you have to attend a conference in Bucharest. You would like to visit Copenhagen for 4 days. You would like to visit Salzburg for 5 days. From day 14 to day 18, there is a annual show you want to attend in Salzburg. You would like to visit Prague for 2 days. You plan to stay in Hamburg for 2 days. You plan to stay in Lyon for 2 days. You are going to attend a wedding in Lyon between day 2 and day 3. You want to spend 3 days in Riga. You plan to stay in Athens for 4 days. You would like to visit Split for 2 days. You want to meet a friend in Split between day 9 and day 10.\n\nHere are the cities that have direct flights:\nfrom Lyon to Split, from Prague to Copenhagen, from Riga to Hamburg, from Copenhagen to Athens, from Prague to Athens, from Athens to Riga, from Copenhagen to Split, from Bucharest to Athens, from Athens to Hamburg, from Split to Athens, from Prague to Riga, from Hamburg to Salzburg, from Split to Hamburg, from Riga to Copenhagen, from Prague to Lyon, from Bucharest to Hamburg, from Copenhagen to Hamburg, from Prague to Split, from Prague to Bucharest, from Bucharest to Riga, from Bucharest to Copenhagen, from Lyon to Bucharest.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 18 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Bucharest.\n**Day 3-4:** Visit Bucharest for 2 days.\n**Day 4:** Fly from Bucharest to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-18:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1332",
    "estimated_output_tokens": 3717,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Copenhagen, Duration: 4 days.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Prague, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Riga, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 2 - 3.\n* City: Bucharest, Fixed Schedule: Day 3 - 4.\n* City: Split, Fixed Schedule: Day 9 - 10.\n* City: Salzburg, Fixed Schedule: Day 14 - 18.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Hamburg, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Prague, Hamburg, Riga, Athens] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 3).\n |- The departure day of Copenhagen is Day 4. The arrival day of Lyon is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 2 - 3).\n |- The departure day of Prague is Day 2. The arrival day of Lyon is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Bucharest (Day 3 - 4).\n   |- The departure day of Lyon is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Lyon].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Lyon to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 9 - 10).\n     |- The departure day of Bucharest is Day 4. The arrival day of Split is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Prague, Lyon, Bucharest].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg, Riga, Athens] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Bucharest to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 9 - 10).\n       |- The departure day of Copenhagen is Day 7. The arrival day of Split is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Prague, Lyon, Bucharest, Copenhagen].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Riga, Athens] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Copenhagen to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 9 - 10).\n         |- The departure day of Hamburg is Day 8. The arrival day of Split is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Prague, Lyon, Bucharest, Copenhagen, Hamburg].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Athens] and explore these options in order.\n           |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Hamburg to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Hamburg to Athens.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Copenhagen to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Copenhagen to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 9 - 10).\n         |- The departure day of Athens is Day 10. The arrival day of Split is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Bucharest to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 9 - 10).\n       |- The departure day of Hamburg is Day 5. The arrival day of Split is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Prague, Lyon, Bucharest, Hamburg].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Athens] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n         |- Check for direct flight from Hamburg to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n         |- Check for direct flight from Hamburg to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n         |- Check for direct flight from Hamburg to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 9 - 10).\n       |- The departure day of Riga is Day 6. The arrival day of Split is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Prague, Lyon, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Hamburg, Athens] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Riga to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 10).\n         |- The departure day of Copenhagen is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n           |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n           |- Check for direct flight from Copenhagen to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 14 - 18).\n           |- The departure day of Split is Day 10. The arrival day of Salzburg is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen, Split].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Athens] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n             |- Check for direct flight from Split to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 14 - 18).\n             |- The departure day of Hamburg is Day 11. The arrival day of Salzburg is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen, Split, Hamburg].\n              |- Check whether the city with an arrival day of Day 11 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n               |- Try arranging to visit Athens from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n               |- Check for direct flight from Hamburg to Athens.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n             |- Check for direct flight from Split to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 14 - 18).\n             |- The departure day of Athens is Day 13. The arrival day of Salzburg is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen, Split, Athens].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n               |- Check for direct flight from Athens to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 14 - 18).\n               |- The departure day of Hamburg is Day 14. The arrival day of Salzburg is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 14. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen, Split, Athens, Hamburg].\n                |- Check whether the city with an arrival day of Day 14 - is fixed.\n                |- Yes. The city with an arrival day of Day 14 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n                 |- Check for direct flight from Hamburg to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Prague, Lyon, Bucharest, Riga, Copenhagen, Split, Athens, Hamburg, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Lyon.\n**Day 2-3:** Visit Lyon for 2 days.\n**Day 3:** Fly from Lyon to Bucharest.\n**Day 3-4:** Visit Bucharest for 2 days.\n**Day 4:** Fly from Bucharest to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Split.\n**Day 9-10:** Visit Split for 2 days.\n**Day 10:** Fly from Split to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Hamburg.\n**Day 13-14:** Visit Hamburg for 2 days.\n**Day 14:** Fly from Hamburg to Salzburg.\n**Day 14-18:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Amsterdam**Vilnius**Oslo**Budapest**Edinburgh**Stuttgart**Valencia**Lyon",
    "ground_truth_durations": "4**5**4**5**2**4**3**4**5",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Budapest",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Valencia for 4 days. You would like to visit Edinburgh for 4 days. You want to meet a friend in Edinburgh between day 16 and day 19. You would like to visit Vilnius for 4 days. You plan to stay in Amsterdam for 5 days. You plan to stay in Stockholm for 4 days. You would like to meet your friends at Stockholm between day 1 and day 4 to tour together. You plan to stay in Budapest for 2 days. You are going to attend a wedding in Budapest between day 15 and day 16. You plan to stay in Stuttgart for 3 days. You plan to stay in Oslo for 5 days. During day 11 and day 15, you have to attend a conference in Oslo.\n\nHere are the cities that have direct flights:\nStockholm and Stuttgart, Amsterdam and Budapest, Oslo and Lyon, Stuttgart and Valencia, Amsterdam and Lyon, Stockholm and Amsterdam, Amsterdam and Vilnius, Oslo and Edinburgh, Vilnius and Oslo, Amsterdam and Oslo, Budapest and Stuttgart, Edinburgh and Stuttgart, Oslo and Budapest, Amsterdam and Valencia, Stockholm and Edinburgh, Budapest and Edinburgh, Amsterdam and Stuttgart, Valencia and Lyon, Stockholm and Oslo, Amsterdam and Edinburgh.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Lyon. You plan to stay in Valencia for 4 days. You would like to visit Edinburgh for 4 days. You want to meet a friend in Edinburgh between day 16 and day 19. You would like to visit Vilnius for 4 days. You plan to stay in Amsterdam for 5 days. You plan to stay in Stockholm for 4 days. You would like to meet your friends at Stockholm between day 1 and day 4 to tour together. You plan to stay in Budapest for 2 days. You are going to attend a wedding in Budapest between day 15 and day 16. You plan to stay in Stuttgart for 3 days. You plan to stay in Oslo for 5 days. During day 11 and day 15, you have to attend a conference in Oslo.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Stuttgart, from Amsterdam to Budapest, from Oslo to Lyon, from Stuttgart to Valencia, from Amsterdam to Lyon, from Stockholm to Amsterdam, from Amsterdam to Vilnius, from Oslo to Edinburgh, from Vilnius to Oslo, from Amsterdam to Oslo, from Budapest to Stuttgart, from Edinburgh to Stuttgart, from Oslo to Budapest, from Amsterdam to Valencia, from Stockholm to Edinburgh, from Budapest to Edinburgh, from Amsterdam to Stuttgart, from Valencia to Lyon, from Stockholm to Oslo, from Amsterdam to Edinburgh.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Amsterdam.\n**Day 4-8:** Visit Amsterdam for 5 days.\n**Day 8:** Fly from Amsterdam to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.\n**Day 19:** Fly from Edinburgh to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-28:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_1333",
    "estimated_output_tokens": 2820,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Vilnius, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Stuttgart, Duration: 3 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 4.\n* City: Oslo, Fixed Schedule: Day 11 - 15.\n* City: Budapest, Fixed Schedule: Day 15 - 16.\n* City: Edinburgh, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Vilnius, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 11 - 15).\n |- The departure day of Stockholm is Day 4. The arrival day of Oslo is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Vilnius, Amsterdam, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Stockholm to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Oslo (Day 11 - 15).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Oslo is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Vilnius, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 11 - 15).\n     |- The departure day of Lyon is Day 12. The arrival day of Oslo is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 11 - 15).\n     |- The departure day of Valencia is Day 11. The arrival day of Oslo is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stockholm, Amsterdam, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 11 - 15).\n     |- The departure day of Vilnius is Day 11. The arrival day of Oslo is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stockholm, Amsterdam, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Vilnius to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 15 - 16).\n       |- The departure day of Oslo is Day 15. The arrival day of Budapest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Oslo to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Edinburgh (Day 16 - 19).\n         |- The departure day of Budapest is Day 16. The arrival day of Edinburgh is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Edinburgh.\n           |- Try arranging to visit Edinburgh from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Budapest to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo, Budapest, Edinburgh].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Edinburgh to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Edinburgh to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Edinburgh to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo, Budapest, Edinburgh, Stuttgart].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Stuttgart to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Valencia from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Stuttgart to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo, Budapest, Edinburgh, Stuttgart, Valencia].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Valencia to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Stockholm, Amsterdam, Vilnius, Oslo, Budapest, Edinburgh, Stuttgart, Valencia, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stockholm and visit Stockholm for 4 days.\n**Day 4:** Fly from Stockholm to Amsterdam.\n**Day 4-8:** Visit Amsterdam for 5 days.\n**Day 8:** Fly from Amsterdam to Vilnius.\n**Day 8-11:** Visit Vilnius for 4 days.\n**Day 11:** Fly from Vilnius to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Budapest.\n**Day 15-16:** Visit Budapest for 2 days.\n**Day 16:** Fly from Budapest to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.\n**Day 19:** Fly from Edinburgh to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-28:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**London**Mykonos**Milan**Krakow**Valencia**Lyon**Istanbul**Tallinn",
    "ground_truth_durations": "2**2**5**2**2**4**3**5**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 9,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Lyon. You want to spend 2 days in London. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 7 and day 8. You want to spend 5 days in Mykonos. You want to spend 2 days in Krakow. You plan to stay in Istanbul for 5 days. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 1 and day 2. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 9 and day 12.\n\nHere are the cities that have direct flights:\nBucharest and Istanbul, London and Valencia, Bucharest and Valencia, Valencia and Istanbul, Bucharest and Lyon, London and Krakow, London and Mykonos, from Istanbul to Tallinn, Mykonos and Milan, Milan and Krakow, London and Istanbul, Lyon and Istanbul, Bucharest and London, London and Lyon, Krakow and Istanbul, Milan and Istanbul, Milan and Valencia, London and Milan, Krakow and Valencia, Valencia and Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Tallinn for 3 days. You want to spend 3 days in Lyon. You want to spend 2 days in London. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 7 and day 8. You want to spend 5 days in Mykonos. You want to spend 2 days in Krakow. You plan to stay in Istanbul for 5 days. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 1 and day 2. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 9 and day 12.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Istanbul, from London to Valencia, from Bucharest to Valencia, from Valencia to Istanbul, from Bucharest to Lyon, from London to Krakow, from London to Mykonos, from Istanbul to Tallinn, from Mykonos to Milan, from Milan to Krakow, from London to Istanbul, from Lyon to Istanbul, from Bucharest to London, from London to Lyon, from Krakow to Istanbul, from Milan to Istanbul, from Milan to Valencia, from London to Milan, from Krakow to Valencia, from Valencia to Lyon.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Mykonos.\n**Day 3-7:** Visit Mykonos for 5 days.\n**Day 7:** Fly from Mykonos to Milan.\n**Day 7-8:** Visit Milan for 2 days.\n**Day 8:** Fly from Milan to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to Lyon.\n**Day 12-14:** Visit Lyon for 3 days.\n**Day 14:** Fly from Lyon to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1334",
    "estimated_output_tokens": 3513,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Mykonos, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Milan, Fixed Schedule: Day 7 - 8.\n* City: Valencia, Fixed Schedule: Day 9 - 12.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: London, Duration: 2 days.\n* City: Mykonos, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 7 - 8).\n |- The departure day of Bucharest is Day 2. The arrival day of Milan is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, London, Mykonos, Krakow, Istanbul] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 7 - 8).\n   |- The departure day of Lyon is Day 4. The arrival day of Milan is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, London, Mykonos, Krakow, Istanbul] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Lyon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lyon to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Lyon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Lyon to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 7 - 8).\n     |- The departure day of Istanbul is Day 8. The arrival day of Milan is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 7 - 8).\n   |- The departure day of London is Day 3. The arrival day of Milan is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Mykonos, Krakow, Istanbul] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from London to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 7 - 8).\n     |- The departure day of Lyon is Day 5. The arrival day of Milan is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, London, Lyon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Mykonos, Krakow, Istanbul] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Lyon to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Lyon to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lyon to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 7 - 8).\n       |- The departure day of Istanbul is Day 9. The arrival day of Milan is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from London to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 7 - 8).\n     |- The departure day of Mykonos is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, London, Mykonos].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Mykonos to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 9 - 12).\n       |- The departure day of Milan is Day 8. The arrival day of Valencia is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, London, Mykonos, Milan].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Krakow, Istanbul] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Milan to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Milan to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Milan to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 9 - 12).\n         |- The departure day of Krakow is Day 9. The arrival day of Valencia is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Bucharest, London, Mykonos, Milan, Krakow].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Krakow to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Bucharest, London, Mykonos, Milan, Krakow, Valencia].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Lyon, Istanbul] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Valencia to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Valencia to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Bucharest, London, Mykonos, Milan, Krakow, Valencia, Lyon].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Lyon to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Istanbul from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Lyon to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Bucharest, London, Mykonos, Milan, Krakow, Valencia, Lyon, Istanbul].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Istanbul to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Bucharest, London, Mykonos, Milan, Krakow, Valencia, Lyon, Istanbul, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Mykonos.\n**Day 3-7:** Visit Mykonos for 5 days.\n**Day 7:** Fly from Mykonos to Milan.\n**Day 7-8:** Visit Milan for 2 days.\n**Day 8:** Fly from Milan to Krakow.\n**Day 8-9:** Visit Krakow for 2 days.\n**Day 9:** Fly from Krakow to Valencia.\n**Day 9-12:** Visit Valencia for 4 days.\n**Day 12:** Fly from Valencia to Lyon.\n**Day 12-14:** Visit Lyon for 3 days.\n**Day 14:** Fly from Lyon to Istanbul.\n**Day 14-18:** Visit Istanbul for 5 days.\n**Day 18:** Fly from Istanbul to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Rome**Mykonos**Naples**Valencia**Istanbul**Edinburgh**London**Florence",
    "ground_truth_durations": "4**3**2**4**4**3**2**5**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Mykonos",
        "London"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "Copenhagen",
        "Istanbul"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Copenhagen",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Rome. You plan to stay in Valencia for 4 days. You plan to stay in Florence for 2 days. You would like to meet your friends at Florence between day 20 and day 21 to tour together. You want to spend 3 days in Istanbul. You have to attend a workshop in Istanbul between day 13 and day 15. You want to spend 2 days in Edinburgh. You plan to stay in London for 5 days. You plan to stay in Mykonos for 2 days. You want to spend 4 days in Naples. You want to meet a friend in Naples between day 7 and day 10. You would like to visit Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 1 and day 4.\n\nHere are the cities that have direct flights:\nCopenhagen and Valencia, Mykonos and London, Rome and Edinburgh, Istanbul and Edinburgh, Copenhagen and Naples, Naples and London, Rome and London, Valencia and Istanbul, Naples and Istanbul, Edinburgh and London, Rome and Naples, Rome and Mykonos, Copenhagen and Edinburgh, Valencia and London, Istanbul and London, Copenhagen and London, Copenhagen and Istanbul, Mykonos and Naples, London and Florence, Rome and Istanbul, Naples and Valencia, Rome and Valencia, Copenhagen and Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Rome. You plan to stay in Valencia for 4 days. You plan to stay in Florence for 2 days. You would like to meet your friends at Florence between day 20 and day 21 to tour together. You want to spend 3 days in Istanbul. You have to attend a workshop in Istanbul between day 13 and day 15. You want to spend 2 days in Edinburgh. You plan to stay in London for 5 days. You plan to stay in Mykonos for 2 days. You want to spend 4 days in Naples. You want to meet a friend in Naples between day 7 and day 10. You would like to visit Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Valencia, from Mykonos to London, from Rome to Edinburgh, from Istanbul to Edinburgh, from Copenhagen to Naples, from Naples to London, from Rome to London, from Valencia to Istanbul, from Naples to Istanbul, from Edinburgh to London, from Rome to Naples, from Rome to Mykonos, from Copenhagen to Edinburgh, from Valencia to London, from Istanbul to London, from Copenhagen to London, from Copenhagen to Istanbul, from Mykonos to Naples, from London to Florence, from Rome to Istanbul, from Naples to Valencia, from Rome to Valencia, from Copenhagen to Rome.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Istanbul.\n**Day 13-15:** Visit Istanbul for 3 days.\n**Day 15:** Fly from Istanbul to Edinburgh.\n**Day 15-16:** Visit Edinburgh for 2 days.\n**Day 16:** Fly from Edinburgh to London.\n**Day 16-20:** Visit London for 5 days.\n**Day 20:** Fly from London to Florence.\n**Day 20-21:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1335",
    "estimated_output_tokens": 2759,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Edinburgh, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Naples, Fixed Schedule: Day 7 - 10.\n* City: Istanbul, Fixed Schedule: Day 13 - 15.\n* City: Florence, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 7 - 10).\n |- The departure day of Copenhagen is Day 4. The arrival day of Naples is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Valencia, Edinburgh, London, Mykonos] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 7 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Naples is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, London, Mykonos] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 10).\n     |- The departure day of Valencia is Day 9. The arrival day of Naples is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 10).\n     |- The departure day of Edinburgh is Day 7. The arrival day of Naples is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Edinburgh to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 10).\n     |- The departure day of London is Day 10. The arrival day of Naples is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 7 - 10).\n     |- The departure day of Mykonos is Day 7. The arrival day of Naples is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Rome, Mykonos].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Mykonos to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 13 - 15).\n       |- The departure day of Naples is Day 10. The arrival day of Istanbul is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Rome, Mykonos, Naples].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, London] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 13 - 15).\n         |- The departure day of Valencia is Day 13. The arrival day of Istanbul is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Rome, Mykonos, Naples, Valencia].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 20 - 21).\n           |- The departure day of Istanbul is Day 15. The arrival day of Florence is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Rome, Mykonos, Naples, Valencia, Istanbul].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, London] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Istanbul to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 20 - 21).\n             |- The departure day of Edinburgh is Day 16. The arrival day of Florence is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Copenhagen, Rome, Mykonos, Naples, Valencia, Istanbul, Edinburgh].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n               |- Try arranging to visit London from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Edinburgh to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 20 - 21).\n               |- The departure day of London is Day 20. The arrival day of Florence is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Copenhagen, Rome, Mykonos, Naples, Valencia, Istanbul, Edinburgh, London].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Florence.\n                 |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from London to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Copenhagen, Rome, Mykonos, Naples, Valencia, Istanbul, Edinburgh, London, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Mykonos.\n**Day 6-7:** Visit Mykonos for 2 days.\n**Day 7:** Fly from Mykonos to Naples.\n**Day 7-10:** Visit Naples for 4 days.\n**Day 10:** Fly from Naples to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Istanbul.\n**Day 13-15:** Visit Istanbul for 3 days.\n**Day 15:** Fly from Istanbul to Edinburgh.\n**Day 15-16:** Visit Edinburgh for 2 days.\n**Day 16:** Fly from Edinburgh to London.\n**Day 16-20:** Visit London for 5 days.\n**Day 20:** Fly from London to Florence.\n**Day 20-21:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Copenhagen**Santorini**Zurich**Porto**Valencia**Athens**Riga**Tallinn",
    "ground_truth_durations": "3**5**2**5**2**2**4**2**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Zurich",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Santorini",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to spend 2 days in Valencia. You plan to stay in Athens for 4 days. You would like to visit Riga for 2 days. You want to spend 5 days in Zurich. You are going to attend a wedding in Zurich between day 8 and day 12. You would like to visit Helsinki for 3 days. From day 1 to day 3, there is a annual show you want to attend in Helsinki. You would like to visit Santorini for 2 days. You would like to meet your friends at Santorini between day 7 and day 8 to tour together. You plan to stay in Tallinn for 2 days. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Porto, Zurich and Riga, Zurich and Porto, Helsinki and Copenhagen, Helsinki and Zurich, Copenhagen and Athens, Porto and Valencia, Zurich and Tallinn, Helsinki and Riga, from Riga to Tallinn, Copenhagen and Santorini, from Valencia to Athens, Zurich and Valencia, Santorini and Zurich, Copenhagen and Tallinn, Copenhagen and Zurich, Copenhagen and Riga, Helsinki and Tallinn, Zurich and Athens, from Athens to Riga, Copenhagen and Valencia, Santorini and Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to spend 2 days in Valencia. You plan to stay in Athens for 4 days. You would like to visit Riga for 2 days. You want to spend 5 days in Zurich. You are going to attend a wedding in Zurich between day 8 and day 12. You would like to visit Helsinki for 3 days. From day 1 to day 3, there is a annual show you want to attend in Helsinki. You would like to visit Santorini for 2 days. You would like to meet your friends at Santorini between day 7 and day 8 to tour together. You plan to stay in Tallinn for 2 days. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Porto, from Zurich to Riga, from Zurich to Porto, from Helsinki to Copenhagen, from Helsinki to Zurich, from Copenhagen to Athens, from Porto to Valencia, from Zurich to Tallinn, from Helsinki to Riga, from Riga to Tallinn, from Copenhagen to Santorini, from Valencia to Athens, from Zurich to Valencia, from Santorini to Zurich, from Copenhagen to Tallinn, from Copenhagen to Zurich, from Copenhagen to Riga, from Helsinki to Tallinn, from Zurich to Athens, from Athens to Riga, from Copenhagen to Valencia, from Santorini to Athens.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Zurich.\n**Day 8-12:** Visit Zurich for 5 days.\n**Day 12:** Fly from Zurich to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1336",
    "estimated_output_tokens": 5143,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Tallinn, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Fixed Schedule: Day 7 - 8.\n* City: Zurich, Fixed Schedule: Day 8 - 12.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 7 - 8).\n |- The departure day of Helsinki is Day 3. The arrival day of Santorini is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Valencia, Athens, Riga, Tallinn, Porto] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 7 - 8).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Helsinki, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Copenhagen to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Zurich (Day 8 - 12).\n     |- The departure day of Santorini is Day 8. The arrival day of Zurich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Helsinki, Copenhagen, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Zurich.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Santorini to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Copenhagen, Santorini, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Riga, Tallinn, Porto] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Valencia].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Riga, Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Athens from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Valencia to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Valencia, Athens].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Athens to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Valencia, Athens, Riga].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Riga to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Valencia, Athens, Riga, Tallinn].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Tallinn to Porto.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Porto from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Riga to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Athens to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Athens to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Valencia to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Valencia to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Valencia to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Zurich to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Riga, Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Athens to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Athens to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Athens, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Riga to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Riga to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Athens, Riga, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Tallinn to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Porto from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Tallinn to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Riga to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Athens to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Athens to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Tallinn, Porto] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Riga to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Porto] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Tallinn to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Tallinn to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Tallinn to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Riga to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Riga, Porto] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Tallinn to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Tallinn to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Tallinn to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Athens, Riga, Tallinn] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Porto, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Riga, Tallinn] and explore these options in order.\n             |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Valencia to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Porto, Valencia, Athens].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n               |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Athens to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Porto, Valencia, Athens, Riga].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Riga to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Helsinki, Copenhagen, Santorini, Zurich, Porto, Valencia, Athens, Riga, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Copenhagen.\n**Day 3-7:** Visit Copenhagen for 5 days.\n**Day 7:** Fly from Copenhagen to Santorini.\n**Day 7-8:** Visit Santorini for 2 days.\n**Day 8:** Fly from Santorini to Zurich.\n**Day 8-12:** Visit Zurich for 5 days.\n**Day 12:** Fly from Zurich to Porto.\n**Day 12-13:** Visit Porto for 2 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Athens.\n**Day 14-17:** Visit Athens for 4 days.\n**Day 17:** Fly from Athens to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Santorini**Copenhagen**Geneva**Helsinki**Paris**Riga**Frankfurt**Salzburg",
    "ground_truth_durations": "3**3**3**3**5**2**4**4**5",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Paris"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Milan",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You would like to visit Riga for 4 days. You would like to visit Frankfurt for 4 days. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 7 and day 9. You would like to visit Salzburg for 5 days. You plan to stay in Copenhagen for 3 days. You plan to stay in Paris for 2 days. You are going to attend a wedding in Paris between day 13 and day 14. You want to spend 3 days in Santorini. You want to meet a friend in Santorini between day 3 and day 5. You want to spend 5 days in Helsinki.\n\nHere are the cities that have direct flights:\nHelsinki and Frankfurt, Helsinki and Riga, Milan and Riga, Geneva and Helsinki, Geneva and Frankfurt, Paris and Riga, Copenhagen and Geneva, Santorini and Geneva, Geneva and Paris, Paris and Frankfurt, Milan and Frankfurt, Frankfurt and Salzburg, Copenhagen and Helsinki, Milan and Copenhagen, Santorini and Copenhagen, Riga and Frankfurt, Milan and Santorini, Milan and Paris, Copenhagen and Riga, Copenhagen and Frankfurt, Copenhagen and Paris, Helsinki and Paris, Milan and Helsinki.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Milan. You would like to visit Riga for 4 days. You would like to visit Frankfurt for 4 days. You want to spend 3 days in Geneva. You plan to visit relatives in Geneva between day 7 and day 9. You would like to visit Salzburg for 5 days. You plan to stay in Copenhagen for 3 days. You plan to stay in Paris for 2 days. You are going to attend a wedding in Paris between day 13 and day 14. You want to spend 3 days in Santorini. You want to meet a friend in Santorini between day 3 and day 5. You want to spend 5 days in Helsinki.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Frankfurt, from Helsinki to Riga, from Milan to Riga, from Geneva to Helsinki, from Geneva to Frankfurt, from Paris to Riga, from Copenhagen to Geneva, from Santorini to Geneva, from Geneva to Paris, from Paris to Frankfurt, from Milan to Frankfurt, from Frankfurt to Salzburg, from Copenhagen to Helsinki, from Milan to Copenhagen, from Santorini to Copenhagen, from Riga to Frankfurt, from Milan to Santorini, from Milan to Paris, from Copenhagen to Riga, from Copenhagen to Frankfurt, from Copenhagen to Paris, from Helsinki to Paris, from Milan to Helsinki.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Santorini.\n**Day 3-5:** Visit Santorini for 3 days.\n**Day 5:** Fly from Santorini to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Geneva.\n**Day 7-9:** Visit Geneva for 3 days.\n**Day 9:** Fly from Geneva to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Salzburg.\n**Day 20-24:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1337",
    "estimated_output_tokens": 2876,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Salzburg, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Helsinki, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 3 - 5.\n* City: Geneva, Fixed Schedule: Day 7 - 9.\n* City: Paris, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Riga, Duration: 4 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Riga, Frankfurt, Salzburg, Copenhagen, Helsinki] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 3 - 5).\n |- The departure day of Milan is Day 3. The arrival day of Santorini is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 7 - 9).\n   |- The departure day of Santorini is Day 5. The arrival day of Geneva is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Salzburg, Copenhagen, Helsinki] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Santorini to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Santorini to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Santorini to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 7 - 9).\n     |- The departure day of Copenhagen is Day 7. The arrival day of Geneva is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Santorini, Copenhagen].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Copenhagen to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 13 - 14).\n       |- The departure day of Geneva is Day 9. The arrival day of Paris is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Milan, Santorini, Copenhagen, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Salzburg, Helsinki] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Geneva to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Geneva to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 13 - 14).\n         |- The departure day of Frankfurt is Day 12. The arrival day of Paris is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Milan, Santorini, Copenhagen, Geneva, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Salzburg, Helsinki] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Paris (Day 13 - 14).\n           |- The departure day of Salzburg is Day 16. The arrival day of Paris is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Frankfurt to Helsinki.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Geneva to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Geneva to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 13 - 14).\n         |- The departure day of Helsinki is Day 13. The arrival day of Paris is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Milan, Santorini, Copenhagen, Geneva, Helsinki].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Paris.\n           |- Try arranging to visit Paris from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Helsinki to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Milan, Santorini, Copenhagen, Geneva, Helsinki, Paris].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Salzburg] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Paris to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Milan, Santorini, Copenhagen, Geneva, Helsinki, Paris, Riga].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Riga to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Milan, Santorini, Copenhagen, Geneva, Helsinki, Paris, Riga, Frankfurt].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Milan, Santorini, Copenhagen, Geneva, Helsinki, Paris, Riga, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Santorini.\n**Day 3-5:** Visit Santorini for 3 days.\n**Day 5:** Fly from Santorini to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Geneva.\n**Day 7-9:** Visit Geneva for 3 days.\n**Day 9:** Fly from Geneva to Helsinki.\n**Day 9-13:** Visit Helsinki for 5 days.\n**Day 13:** Fly from Helsinki to Paris.\n**Day 13-14:** Visit Paris for 2 days.\n**Day 14:** Fly from Paris to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Salzburg.\n**Day 20-24:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Venice**Hamburg**Bucharest**Riga**Vilnius**Vienna**Dublin**Seville",
    "ground_truth_durations": "5**5**2**5**5**2**5**4**4",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Vienna",
        "Dublin"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Riga",
        "Vienna"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Barcelona",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Seville. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 23 and day 26 to tour together. You plan to stay in Bucharest for 5 days. You would like to visit Venice for 5 days. You want to spend 5 days in Vienna. You are going to attend a wedding in Vienna between day 19 and day 23. You want to spend 2 days in Hamburg. You plan to stay in Barcelona for 5 days. You plan to visit relatives in Barcelona between day 1 and day 5. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 18 and day 19. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nBarcelona and Seville, Hamburg and Dublin, Hamburg and Bucharest, Venice and Hamburg, Riga and Dublin, Bucharest and Dublin, Vienna and Dublin, from Riga to Hamburg, Riga and Vienna, Barcelona and Vienna, from Riga to Vilnius, Bucharest and Riga, Barcelona and Bucharest, Hamburg and Vienna, Venice and Vienna, Barcelona and Dublin, Bucharest and Vienna, Dublin and Seville, Barcelona and Hamburg, Barcelona and Venice, Venice and Dublin, Vienna and Seville, Vilnius and Vienna, Barcelona and Riga.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Seville. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 23 and day 26 to tour together. You plan to stay in Bucharest for 5 days. You would like to visit Venice for 5 days. You want to spend 5 days in Vienna. You are going to attend a wedding in Vienna between day 19 and day 23. You want to spend 2 days in Hamburg. You plan to stay in Barcelona for 5 days. You plan to visit relatives in Barcelona between day 1 and day 5. You want to spend 2 days in Vilnius. You want to meet a friend in Vilnius between day 18 and day 19. You want to spend 5 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Seville, from Hamburg to Dublin, from Hamburg to Bucharest, from Venice to Hamburg, from Riga to Dublin, from Bucharest to Dublin, from Vienna to Dublin, from Riga to Hamburg, from Riga to Vienna, from Barcelona to Vienna, from Riga to Vilnius, from Bucharest to Riga, from Barcelona to Bucharest, from Hamburg to Vienna, from Venice to Vienna, from Barcelona to Dublin, from Bucharest to Vienna, from Dublin to Seville, from Barcelona to Hamburg, from Barcelona to Venice, from Venice to Dublin, from Vienna to Seville, from Vilnius to Vienna, from Barcelona to Riga.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Hamburg.\n**Day 9-10:** Visit Hamburg for 2 days.\n**Day 10:** Fly from Hamburg to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Riga.\n**Day 14-18:** Visit Riga for 5 days.\n**Day 18:** Fly from Riga to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.\n**Day 19:** Fly from Vilnius to Vienna.\n**Day 19-23:** Visit Vienna for 5 days.\n**Day 23:** Fly from Vienna to Dublin.\n**Day 23-26:** Visit Dublin for 4 days.\n**Day 26:** Fly from Dublin to Seville.\n**Day 26-29:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1338",
    "estimated_output_tokens": 3906,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Bucharest, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Hamburg, Duration: 2 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Riga, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 5.\n* City: Vilnius, Fixed Schedule: Day 18 - 19.\n* City: Vienna, Fixed Schedule: Day 19 - 23.\n* City: Dublin, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Bucharest, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 18 - 19).\n |- The departure day of Barcelona is Day 5. The arrival day of Vilnius is Day 18. Day 5 is not later than (<=) Day 18. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Venice, Hamburg, Riga] and explore these options in order.\n   |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Barcelona to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 18 - 19).\n   |- The departure day of Seville is Day 8. The arrival day of Vilnius is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Seville].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Venice, Hamburg, Riga] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Seville to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Seville to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Seville to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Seville to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 18 - 19).\n   |- The departure day of Bucharest is Day 9. The arrival day of Vilnius is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Barcelona, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Venice, Hamburg, Riga] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Bucharest to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Bucharest to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Bucharest to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 18 - 19).\n     |- The departure day of Riga is Day 13. The arrival day of Vilnius is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Barcelona, Bucharest, Riga].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Venice, Hamburg] and explore these options in order.\n       |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Riga to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 18 - 19).\n       |- The departure day of Hamburg is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Barcelona, Bucharest, Riga, Hamburg].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Venice] and explore these options in order.\n         |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Hamburg to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Hamburg to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Barcelona to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 18 - 19).\n   |- The departure day of Venice is Day 9. The arrival day of Vilnius is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Barcelona, Venice].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Hamburg, Riga] and explore these options in order.\n     |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Venice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Venice to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Venice to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 18 - 19).\n     |- The departure day of Hamburg is Day 10. The arrival day of Vilnius is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Barcelona, Venice, Hamburg].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Riga] and explore these options in order.\n       |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Hamburg to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Hamburg to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 18 - 19).\n       |- The departure day of Bucharest is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Barcelona, Venice, Hamburg, Bucharest].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Riga] and explore these options in order.\n         |- Try arranging to visit Seville from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Bucharest to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Bucharest to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 18 - 19).\n         |- The departure day of Riga is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Barcelona, Venice, Hamburg, Bucharest, Riga].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Riga to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vienna (Day 19 - 23).\n           |- The departure day of Vilnius is Day 19. The arrival day of Vienna is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Barcelona, Venice, Hamburg, Bucharest, Riga, Vilnius].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Vienna.\n             |- Try arranging to visit Vienna from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vilnius to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dublin (Day 23 - 26).\n             |- The departure day of Vienna is Day 23. The arrival day of Dublin is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Barcelona, Venice, Hamburg, Bucharest, Riga, Vilnius, Vienna].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Dublin.\n               |- Try arranging to visit Dublin from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Vienna to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Barcelona, Venice, Hamburg, Bucharest, Riga, Vilnius, Vienna, Dublin].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                 |- Check for direct flight from Dublin to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Barcelona, Venice, Hamburg, Bucharest, Riga, Vilnius, Vienna, Dublin, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Barcelona and visit Barcelona for 5 days.\n**Day 5:** Fly from Barcelona to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Hamburg.\n**Day 9-10:** Visit Hamburg for 2 days.\n**Day 10:** Fly from Hamburg to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Riga.\n**Day 14-18:** Visit Riga for 5 days.\n**Day 18:** Fly from Riga to Vilnius.\n**Day 18-19:** Visit Vilnius for 2 days.\n**Day 19:** Fly from Vilnius to Vienna.\n**Day 19-23:** Visit Vienna for 5 days.\n**Day 23:** Fly from Vienna to Dublin.\n**Day 23-26:** Visit Dublin for 4 days.\n**Day 26:** Fly from Dublin to Seville.\n**Day 26-29:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Zurich**Paris**Rome**Stuttgart**Manchester**Riga**Frankfurt**Lyon",
    "ground_truth_durations": "2**5**2**4**5**3**3**5**2",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 14,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Manchester"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Rome"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Paris",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 10 and day 14. You plan to stay in Geneva for 2 days. You would like to meet your friends at Geneva between day 1 and day 2 to tour together. You plan to stay in Zurich for 5 days. You would like to visit Riga for 3 days. You want to spend 4 days in Rome. You plan to stay in Frankfurt for 5 days. You want to spend 2 days in Paris. You have to attend a workshop in Paris between day 6 and day 7. You want to spend 3 days in Manchester. From day 14 to day 16, there is a annual show you want to attend in Manchester.\n\nHere are the cities that have direct flights:\nRome and Manchester, Geneva and Paris, Paris and Frankfurt, Geneva and Rome, Geneva and Zurich, Zurich and Paris, Zurich and Manchester, Riga and Frankfurt, Paris and Rome, Paris and Riga, Paris and Stuttgart, Manchester and Frankfurt, Geneva and Manchester, Frankfurt and Lyon, Rome and Frankfurt, Paris and Lyon, Stuttgart and Frankfurt, Zurich and Rome, Zurich and Frankfurt, Zurich and Riga, Stuttgart and Manchester, Rome and Stuttgart, Rome and Lyon, Geneva and Frankfurt, from Rome to Riga, Manchester and Riga, Paris and Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 10 and day 14. You plan to stay in Geneva for 2 days. You would like to meet your friends at Geneva between day 1 and day 2 to tour together. You plan to stay in Zurich for 5 days. You would like to visit Riga for 3 days. You want to spend 4 days in Rome. You plan to stay in Frankfurt for 5 days. You want to spend 2 days in Paris. You have to attend a workshop in Paris between day 6 and day 7. You want to spend 3 days in Manchester. From day 14 to day 16, there is a annual show you want to attend in Manchester.\n\nHere are the cities that have direct flights:\nfrom Rome to Manchester, from Geneva to Paris, from Paris to Frankfurt, from Geneva to Rome, from Geneva to Zurich, from Zurich to Paris, from Zurich to Manchester, from Riga to Frankfurt, from Paris to Rome, from Paris to Riga, from Paris to Stuttgart, from Manchester to Frankfurt, from Geneva to Manchester, from Frankfurt to Lyon, from Rome to Frankfurt, from Paris to Lyon, from Stuttgart to Frankfurt, from Zurich to Rome, from Zurich to Frankfurt, from Zurich to Riga, from Stuttgart to Manchester, from Rome to Stuttgart, from Rome to Lyon, from Geneva to Frankfurt, from Rome to Riga, from Manchester to Riga, from Paris to Manchester.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Manchester.\n**Day 14-16:** Visit Manchester for 3 days.\n**Day 16:** Fly from Manchester to Riga.\n**Day 16-18:** Visit Riga for 3 days.\n**Day 18:** Fly from Riga to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Lyon.\n**Day 22-23:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1339",
    "estimated_output_tokens": 3073,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Zurich, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: Paris, Fixed Schedule: Day 6 - 7.\n* City: Stuttgart, Fixed Schedule: Day 10 - 14.\n* City: Manchester, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 6 - 7).\n |- The departure day of Geneva is Day 2. The arrival day of Paris is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Riga, Rome, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 6 - 7).\n   |- The departure day of Zurich is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Geneva, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 10 - 14).\n     |- The departure day of Paris is Day 7. The arrival day of Stuttgart is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Zurich, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Rome, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Paris to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 10 - 14).\n       |- The departure day of Lyon is Day 8. The arrival day of Stuttgart is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Geneva, Zurich, Paris, Lyon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Rome, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Lyon to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Lyon to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Lyon to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Paris to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 10 - 14).\n       |- The departure day of Riga is Day 9. The arrival day of Stuttgart is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Geneva, Zurich, Paris, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Rome, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 14).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Paris to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 10 - 14).\n       |- The departure day of Rome is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Zurich, Paris, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Rome to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 16).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Manchester is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Geneva, Zurich, Paris, Rome, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Stuttgart to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Geneva, Zurich, Paris, Rome, Stuttgart, Manchester].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Manchester to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Manchester to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Geneva, Zurich, Paris, Rome, Stuttgart, Manchester, Riga].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Riga to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Frankfurt from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Riga to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Geneva, Zurich, Paris, Rome, Stuttgart, Manchester, Riga, Frankfurt].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Frankfurt to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Geneva, Zurich, Paris, Rome, Stuttgart, Manchester, Riga, Frankfurt, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Rome.\n**Day 7-10:** Visit Rome for 4 days.\n**Day 10:** Fly from Rome to Stuttgart.\n**Day 10-14:** Visit Stuttgart for 5 days.\n**Day 14:** Fly from Stuttgart to Manchester.\n**Day 14-16:** Visit Manchester for 3 days.\n**Day 16:** Fly from Manchester to Riga.\n**Day 16-18:** Visit Riga for 3 days.\n**Day 18:** Fly from Riga to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Lyon.\n**Day 22-23:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Berlin**Reykjavik**Madrid**Lisbon**Riga**Manchester**Dubrovnik**Naples",
    "ground_truth_durations": "2**3**5**2**4**5**4**2**5",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Naples"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Split",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You would like to visit Dubrovnik for 2 days. You would like to visit Lisbon for 4 days. You want to meet a friend in Lisbon between day 9 and day 12. You want to spend 3 days in Berlin. You plan to stay in Madrid for 2 days. You want to spend 5 days in Reykjavik. From day 4 to day 8, there is a annual show you want to attend in Reykjavik. You plan to stay in Manchester for 4 days. You plan to stay in Naples for 5 days. You are going to attend a wedding in Naples between day 20 and day 24. You want to spend 2 days in Split.\n\nHere are the cities that have direct flights:\nManchester and Naples, Lisbon and Manchester, Lisbon and Naples, from Manchester to Split, Riga and Manchester, Lisbon and Riga, Madrid and Manchester, Split and Naples, Manchester and Dubrovnik, Dubrovnik and Naples, Berlin and Madrid, Berlin and Manchester, Berlin and Reykjavik, Madrid and Lisbon, Berlin and Naples, Berlin and Lisbon, Berlin and Riga, Madrid and Naples, from Reykjavik to Madrid, Madrid and Dubrovnik, Reykjavik and Lisbon, Split and Madrid, Split and Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Riga. You would like to visit Dubrovnik for 2 days. You would like to visit Lisbon for 4 days. You want to meet a friend in Lisbon between day 9 and day 12. You want to spend 3 days in Berlin. You plan to stay in Madrid for 2 days. You want to spend 5 days in Reykjavik. From day 4 to day 8, there is a annual show you want to attend in Reykjavik. You plan to stay in Manchester for 4 days. You plan to stay in Naples for 5 days. You are going to attend a wedding in Naples between day 20 and day 24. You want to spend 2 days in Split.\n\nHere are the cities that have direct flights:\nfrom Manchester to Naples, from Lisbon to Manchester, from Lisbon to Naples, from Manchester to Split, from Riga to Manchester, from Lisbon to Riga, from Madrid to Manchester, from Split to Naples, from Manchester to Dubrovnik, from Dubrovnik to Naples, from Berlin to Madrid, from Berlin to Manchester, from Berlin to Reykjavik, from Madrid to Lisbon, from Berlin to Naples, from Berlin to Lisbon, from Berlin to Riga, from Madrid to Naples, from Reykjavik to Madrid, from Madrid to Dubrovnik, from Reykjavik to Lisbon, from Split to Madrid, from Split to Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Reykjavik.\n**Day 4-8:** Visit Reykjavik for 5 days.\n**Day 8:** Fly from Reykjavik to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Manchester.\n**Day 16-19:** Visit Manchester for 4 days.\n**Day 19:** Fly from Manchester to Dubrovnik.\n**Day 19-20:** Visit Dubrovnik for 2 days.\n**Day 20:** Fly from Dubrovnik to Naples.\n**Day 20-24:** Visit Naples for 5 days.",
    "id": "trip_planning_example_1340",
    "estimated_output_tokens": 5145,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Berlin, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Manchester, Duration: 4 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Split, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 4 - 8.\n* City: Lisbon, Fixed Schedule: Day 9 - 12.\n* City: Naples, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n* City: Manchester, Duration: 4 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Berlin, Madrid, Manchester, Split] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Riga is Day 5. The arrival day of Reykjavik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Reykjavik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Madrid, Manchester, Split] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Berlin is Day 3. The arrival day of Reykjavik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Madrid, Manchester, Split] and explore these options in order.\n   |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 8).\n   |- The departure day of Riga is Day 7. The arrival day of Reykjavik is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 8).\n   |- The departure day of Madrid is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Madrid to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 4 - 8).\n   |- The departure day of Manchester is Day 6. The arrival day of Reykjavik is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Madrid is Day 2. The arrival day of Reykjavik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Berlin, Manchester, Split] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 8).\n   |- The departure day of Dubrovnik is Day 3. The arrival day of Reykjavik is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Madrid, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Manchester, Split] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Dubrovnik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Dubrovnik to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Dubrovnik to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Dubrovnik to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 8).\n   |- The departure day of Manchester is Day 5. The arrival day of Reykjavik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Manchester is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 4 - 8).\n |- The departure day of Split is Day 2. The arrival day of Reykjavik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Berlin, Madrid, Manchester] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Split to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 4 - 8).\n   |- The departure day of Berlin is Day 4. The arrival day of Reykjavik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Split, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 9 - 12).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Lisbon is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Berlin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Madrid, Manchester] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Reykjavik to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Reykjavik to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Reykjavik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 9 - 12).\n       |- The departure day of Madrid is Day 9. The arrival day of Lisbon is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Split, Berlin, Reykjavik, Madrid].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Madrid to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 20 - 24).\n         |- The departure day of Lisbon is Day 12. The arrival day of Naples is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Split, Berlin, Reykjavik, Madrid, Lisbon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik, Manchester] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Lisbon to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Naples (Day 20 - 24).\n           |- The departure day of Riga is Day 16. The arrival day of Naples is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Split, Berlin, Reykjavik, Madrid, Lisbon, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Manchester] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Riga to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Riga to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 20 - 24).\n             |- The departure day of Manchester is Day 19. The arrival day of Naples is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Split, Berlin, Reykjavik, Madrid, Lisbon, Riga, Manchester].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Manchester to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Naples (Day 20 - 24).\n               |- The departure day of Dubrovnik is Day 20. The arrival day of Naples is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Split, Berlin, Reykjavik, Madrid, Lisbon, Riga, Manchester, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Naples.\n                 |- Try arranging to visit Naples from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Dubrovnik to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Split, Berlin, Reykjavik, Madrid, Lisbon, Riga, Manchester, Dubrovnik, Naples].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Split and visit Split for 2 days.\n**Day 2:** Fly from Split to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Reykjavik.\n**Day 4-8:** Visit Reykjavik for 5 days.\n**Day 8:** Fly from Reykjavik to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Lisbon.\n**Day 9-12:** Visit Lisbon for 4 days.\n**Day 12:** Fly from Lisbon to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Manchester.\n**Day 16-19:** Visit Manchester for 4 days.\n**Day 19:** Fly from Manchester to Dubrovnik.\n**Day 19-20:** Visit Dubrovnik for 2 days.\n**Day 20:** Fly from Dubrovnik to Naples.\n**Day 20-24:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Berlin**Krakow**Split**Milan**Budapest**Warsaw**Tallinn**Helsinki",
    "ground_truth_durations": "5**5**2**2**4**3**4**3**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Krakow",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 4 days. You want to spend 3 days in Tallinn. You want to spend 3 days in Budapest. You plan to stay in Split for 2 days. You plan to stay in Helsinki for 5 days. You have to attend a workshop in Helsinki between day 21 and day 25. You want to spend 4 days in Warsaw. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 5 and day 9. You would like to visit Krakow for 2 days. From day 9 to day 10, there is a annual show you want to attend in Krakow. You would like to visit Amsterdam for 5 days. During day 1 and day 5, you have to attend a conference in Amsterdam.\n\nHere are the cities that have direct flights:\nAmsterdam and Helsinki, Amsterdam and Milan, Budapest and Warsaw, Krakow and Split, Amsterdam and Budapest, Berlin and Milan, Budapest and Helsinki, Berlin and Tallinn, Amsterdam and Split, Berlin and Helsinki, Amsterdam and Berlin, Berlin and Split, Warsaw and Helsinki, Berlin and Warsaw, Berlin and Budapest, Split and Milan, Milan and Budapest, Amsterdam and Krakow, Split and Warsaw, Split and Helsinki, Milan and Warsaw, Krakow and Warsaw, Tallinn and Helsinki, Warsaw and Tallinn, Berlin and Krakow, Amsterdam and Warsaw, Krakow and Helsinki, Amsterdam and Tallinn, Milan and Helsinki, Krakow and Milan.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 4 days. You want to spend 3 days in Tallinn. You want to spend 3 days in Budapest. You plan to stay in Split for 2 days. You plan to stay in Helsinki for 5 days. You have to attend a workshop in Helsinki between day 21 and day 25. You want to spend 4 days in Warsaw. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 5 and day 9. You would like to visit Krakow for 2 days. From day 9 to day 10, there is a annual show you want to attend in Krakow. You would like to visit Amsterdam for 5 days. During day 1 and day 5, you have to attend a conference in Amsterdam.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Helsinki, from Amsterdam to Milan, from Budapest to Warsaw, from Krakow to Split, from Amsterdam to Budapest, from Berlin to Milan, from Budapest to Helsinki, from Berlin to Tallinn, from Amsterdam to Split, from Berlin to Helsinki, from Amsterdam to Berlin, from Berlin to Split, from Warsaw to Helsinki, from Berlin to Warsaw, from Berlin to Budapest, from Split to Milan, from Milan to Budapest, from Amsterdam to Krakow, from Split to Warsaw, from Split to Helsinki, from Milan to Warsaw, from Krakow to Warsaw, from Tallinn to Helsinki, from Warsaw to Tallinn, from Berlin to Krakow, from Amsterdam to Warsaw, from Krakow to Helsinki, from Amsterdam to Tallinn, from Milan to Helsinki, from Krakow to Milan.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.\n**Day 10:** Fly from Krakow to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Tallinn.\n**Day 19-21:** Visit Tallinn for 3 days.\n**Day 21:** Fly from Tallinn to Helsinki.\n**Day 21-25:** Visit Helsinki for 5 days.",
    "id": "trip_planning_example_1341",
    "estimated_output_tokens": 4258,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Warsaw, Duration: 4 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 5.\n* City: Berlin, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Fixed Schedule: Day 9 - 10.\n* City: Helsinki, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Milan, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Split, Duration: 2 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Amsterdam is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Amsterdam to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 9 - 10).\n   |- The departure day of Berlin is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Amsterdam, Berlin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Berlin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 21 - 25).\n     |- The departure day of Krakow is Day 10. The arrival day of Helsinki is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Berlin, Krakow].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn, Budapest, Split, Warsaw] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Krakow to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 21 - 25).\n       |- The departure day of Milan is Day 13. The arrival day of Helsinki is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Amsterdam, Berlin, Krakow, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Split, Warsaw] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Milan to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Milan to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 21 - 25).\n         |- The departure day of Budapest is Day 15. The arrival day of Helsinki is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Amsterdam, Berlin, Krakow, Milan, Budapest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Warsaw] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Budapest to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Budapest to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Budapest to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Helsinki (Day 21 - 25).\n           |- The departure day of Warsaw is Day 18. The arrival day of Helsinki is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, Berlin, Krakow, Milan, Budapest, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Split] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Helsinki (Day 21 - 25).\n             |- The departure day of Tallinn is Day 20. The arrival day of Helsinki is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Amsterdam, Berlin, Krakow, Milan, Budapest, Warsaw, Tallinn].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Tallinn to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Warsaw to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Milan to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Milan to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 21 - 25).\n         |- The departure day of Warsaw is Day 16. The arrival day of Helsinki is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Amsterdam, Berlin, Krakow, Milan, Warsaw].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Split] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Warsaw to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Helsinki (Day 21 - 25).\n           |- The departure day of Tallinn is Day 18. The arrival day of Helsinki is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, Berlin, Krakow, Milan, Warsaw, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Budapest, Split] and explore these options in order.\n             |- Try arranging to visit Budapest from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Tallinn to Budapest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Tallinn to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Budapest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Warsaw to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Warsaw to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Krakow to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Krakow to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Krakow to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 21 - 25).\n       |- The departure day of Split is Day 11. The arrival day of Helsinki is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Amsterdam, Berlin, Krakow, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn, Budapest, Warsaw] and explore these options in order.\n         |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 21 - 25).\n         |- The departure day of Milan is Day 14. The arrival day of Helsinki is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, Berlin, Krakow, Split, Milan].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Warsaw] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Milan to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Milan to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Helsinki (Day 21 - 25).\n           |- The departure day of Budapest is Day 16. The arrival day of Helsinki is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Berlin, Krakow, Split, Milan, Budapest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Warsaw] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Budapest to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Budapest to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Helsinki (Day 21 - 25).\n             |- The departure day of Warsaw is Day 19. The arrival day of Helsinki is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Berlin, Krakow, Split, Milan, Budapest, Warsaw].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Warsaw to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Helsinki (Day 21 - 25).\n               |- The departure day of Tallinn is Day 21. The arrival day of Helsinki is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Amsterdam, Berlin, Krakow, Split, Milan, Budapest, Warsaw, Tallinn].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Helsinki.\n                 |- Try arranging to visit Helsinki from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Tallinn to Helsinki.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Amsterdam, Berlin, Krakow, Split, Milan, Budapest, Warsaw, Tallinn, Helsinki].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-10:** Visit Krakow for 2 days.\n**Day 10:** Fly from Krakow to Split.\n**Day 10-11:** Visit Split for 2 days.\n**Day 11:** Fly from Split to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Tallinn.\n**Day 19-21:** Visit Tallinn for 3 days.\n**Day 21:** Fly from Tallinn to Helsinki.\n**Day 21-25:** Visit Helsinki for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Stockholm**Barcelona**Venice**Istanbul**Vilnius**Zurich**Lisbon**Florence",
    "ground_truth_durations": "3**3**4**3**2**2**5**5**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Zurich"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Stockholm",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You plan to visit relatives in Istanbul between day 10 and day 11. You would like to visit Zurich for 5 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 1 and day 3. You plan to stay in Florence for 2 days. You plan to stay in Stockholm for 3 days. You want to spend 3 days in Venice. You want to spend 4 days in Barcelona. You plan to stay in Lisbon for 5 days. You have to attend a workshop in Lisbon between day 16 and day 20. You plan to stay in Vilnius for 2 days. During day 11 and day 12, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nSplit and Zurich, Zurich and Lisbon, from Zurich to Florence, Split and Stockholm, Barcelona and Florence, Istanbul and Lisbon, Stockholm and Zurich, Stockholm and Istanbul, Barcelona and Lisbon, Venice and Zurich, Stockholm and Barcelona, Vilnius and Zurich, Split and Vilnius, Istanbul and Zurich, Venice and Istanbul, Split and Barcelona, Lisbon and Florence, Venice and Lisbon, Barcelona and Zurich, Barcelona and Istanbul, Istanbul and Vilnius, Barcelona and Venice, Stockholm and Lisbon.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You plan to visit relatives in Istanbul between day 10 and day 11. You would like to visit Zurich for 5 days. You would like to visit Split for 3 days. You want to meet a friend in Split between day 1 and day 3. You plan to stay in Florence for 2 days. You plan to stay in Stockholm for 3 days. You want to spend 3 days in Venice. You want to spend 4 days in Barcelona. You plan to stay in Lisbon for 5 days. You have to attend a workshop in Lisbon between day 16 and day 20. You plan to stay in Vilnius for 2 days. During day 11 and day 12, you have to attend a conference in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Split to Zurich, from Zurich to Lisbon, from Zurich to Florence, from Split to Stockholm, from Barcelona to Florence, from Istanbul to Lisbon, from Stockholm to Zurich, from Stockholm to Istanbul, from Barcelona to Lisbon, from Venice to Zurich, from Stockholm to Barcelona, from Vilnius to Zurich, from Split to Vilnius, from Istanbul to Zurich, from Venice to Istanbul, from Split to Barcelona, from Lisbon to Florence, from Venice to Lisbon, from Barcelona to Zurich, from Barcelona to Istanbul, from Istanbul to Vilnius, from Barcelona to Venice, from Stockholm to Lisbon.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Stockholm.\n**Day 3-5:** Visit Stockholm for 3 days.\n**Day 5:** Fly from Stockholm to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Lisbon.\n**Day 16-20:** Visit Lisbon for 5 days.\n**Day 20:** Fly from Lisbon to Florence.\n**Day 20-21:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1342",
    "estimated_output_tokens": 4047,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Zurich, Duration: 5 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Florence, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Barcelona, Duration: 4 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n* City: Istanbul, Fixed Schedule: Day 10 - 11.\n* City: Vilnius, Fixed Schedule: Day 11 - 12.\n* City: Lisbon, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Zurich, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Barcelona, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 10 - 11).\n |- The departure day of Split is Day 3. The arrival day of Istanbul is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Stockholm, Venice, Barcelona] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 10 - 11).\n   |- The departure day of Zurich is Day 7. The arrival day of Istanbul is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Venice, Barcelona] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 10 - 11).\n     |- The departure day of Florence is Day 8. The arrival day of Istanbul is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Zurich, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Venice, Barcelona] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Florence to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Florence to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Florence to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Zurich to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 10 - 11).\n   |- The departure day of Stockholm is Day 5. The arrival day of Istanbul is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Split, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Venice, Barcelona] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stockholm to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 10 - 11).\n     |- The departure day of Zurich is Day 9. The arrival day of Istanbul is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Stockholm, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Venice, Barcelona] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 10 - 11).\n       |- The departure day of Florence is Day 10. The arrival day of Istanbul is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Stockholm, Zurich, Florence].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Florence to Istanbul.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Zurich to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Zurich to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 10 - 11).\n     |- The departure day of Barcelona is Day 8. The arrival day of Istanbul is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Stockholm, Barcelona].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Florence, Venice] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Barcelona to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 10 - 11).\n       |- The departure day of Zurich is Day 12. The arrival day of Istanbul is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Barcelona to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 10 - 11).\n       |- The departure day of Florence is Day 9. The arrival day of Istanbul is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Split, Stockholm, Barcelona, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Venice] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Florence to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Florence to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Barcelona to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 10 - 11).\n       |- The departure day of Venice is Day 10. The arrival day of Istanbul is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Split, Stockholm, Barcelona, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 11 - 12).\n         |- The departure day of Istanbul is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Split, Stockholm, Barcelona, Venice, Istanbul].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Istanbul to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 16 - 20).\n           |- The departure day of Vilnius is Day 12. The arrival day of Lisbon is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Split, Stockholm, Barcelona, Venice, Istanbul, Vilnius].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Florence] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Vilnius to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 16 - 20).\n             |- The departure day of Zurich is Day 16. The arrival day of Lisbon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Split, Stockholm, Barcelona, Venice, Istanbul, Vilnius, Zurich].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Lisbon.\n               |- Try arranging to visit Lisbon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Zurich to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Split, Stockholm, Barcelona, Venice, Istanbul, Vilnius, Zurich, Lisbon].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Lisbon to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Split, Stockholm, Barcelona, Venice, Istanbul, Vilnius, Zurich, Lisbon, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Stockholm.\n**Day 3-5:** Visit Stockholm for 3 days.\n**Day 5:** Fly from Stockholm to Barcelona.\n**Day 5-8:** Visit Barcelona for 4 days.\n**Day 8:** Fly from Barcelona to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Istanbul.\n**Day 10-11:** Visit Istanbul for 2 days.\n**Day 11:** Fly from Istanbul to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Lisbon.\n**Day 16-20:** Visit Lisbon for 5 days.\n**Day 20:** Fly from Lisbon to Florence.\n**Day 20-21:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Prague**Milan**Reykjavik**Paris**Lyon**Frankfurt**Krakow**Vilnius",
    "ground_truth_durations": "2**2**5**5**2**2**5**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You plan to stay in Krakow for 3 days. You want to spend 4 days in Vilnius. You plan to stay in Reykjavik for 5 days. You would like to visit Frankfurt for 5 days. You are going to attend a wedding in Frankfurt between day 13 and day 17. You plan to stay in Oslo for 2 days. During day 1 and day 2, you have to attend a conference in Oslo. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 2 and day 3. You would like to visit Paris for 2 days. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 3 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nReykjavik and Frankfurt, Paris and Krakow, Oslo and Paris, Paris and Lyon, Oslo and Prague, Prague and Lyon, Milan and Frankfurt, Paris and Frankfurt, Prague and Reykjavik, Reykjavik and Paris, Frankfurt and Vilnius, Oslo and Lyon, Milan and Reykjavik, Oslo and Frankfurt, Milan and Krakow, Frankfurt and Krakow, Prague and Paris, Paris and Vilnius, Milan and Vilnius, Prague and Krakow, Oslo and Milan, Oslo and Reykjavik, Lyon and Frankfurt, Milan and Paris, Prague and Frankfurt, Prague and Milan, from Krakow to Vilnius, Oslo and Vilnius, Oslo and Krakow.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You plan to stay in Krakow for 3 days. You want to spend 4 days in Vilnius. You plan to stay in Reykjavik for 5 days. You would like to visit Frankfurt for 5 days. You are going to attend a wedding in Frankfurt between day 13 and day 17. You plan to stay in Oslo for 2 days. During day 1 and day 2, you have to attend a conference in Oslo. You plan to stay in Prague for 2 days. You have to attend a workshop in Prague between day 2 and day 3. You would like to visit Paris for 2 days. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 3 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Frankfurt, from Paris to Krakow, from Oslo to Paris, from Paris to Lyon, from Oslo to Prague, from Prague to Lyon, from Milan to Frankfurt, from Paris to Frankfurt, from Prague to Reykjavik, from Reykjavik to Paris, from Frankfurt to Vilnius, from Oslo to Lyon, from Milan to Reykjavik, from Oslo to Frankfurt, from Milan to Krakow, from Frankfurt to Krakow, from Prague to Paris, from Paris to Vilnius, from Milan to Vilnius, from Prague to Krakow, from Oslo to Milan, from Oslo to Reykjavik, from Lyon to Frankfurt, from Milan to Paris, from Prague to Frankfurt, from Prague to Milan, from Krakow to Vilnius, from Oslo to Vilnius, from Oslo to Krakow.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Prague.\n**Day 2-3:** Visit Prague for 2 days.\n**Day 3:** Fly from Prague to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Frankfurt.\n**Day 13-17:** Visit Frankfurt for 5 days.\n**Day 17:** Fly from Frankfurt to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.\n**Day 19:** Fly from Krakow to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1343",
    "estimated_output_tokens": 3641,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Paris, Duration: 2 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n* City: Prague, Fixed Schedule: Day 2 - 3.\n* City: Milan, Fixed Schedule: Day 3 - 7.\n* City: Frankfurt, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 3).\n |- The departure day of Oslo is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 3 - 7).\n   |- The departure day of Prague is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Oslo, Prague].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Prague to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 13 - 17).\n     |- The departure day of Milan is Day 7. The arrival day of Frankfurt is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Oslo, Prague, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Vilnius, Reykjavik, Paris] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 13 - 17).\n       |- The departure day of Krakow is Day 9. The arrival day of Frankfurt is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Prague, Milan, Krakow].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Vilnius, Reykjavik, Paris] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Krakow to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 13 - 17).\n         |- The departure day of Vilnius is Day 12. The arrival day of Frankfurt is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Oslo, Prague, Milan, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Paris] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Vilnius to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vilnius to Paris.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Krakow to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Krakow to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Milan to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 13 - 17).\n       |- The departure day of Vilnius is Day 10. The arrival day of Frankfurt is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Prague, Milan, Vilnius].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Reykjavik, Paris] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vilnius to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Vilnius to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Vilnius to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Vilnius to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 13 - 17).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Frankfurt is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Oslo, Prague, Milan, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Vilnius, Paris] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Frankfurt (Day 13 - 17).\n         |- The departure day of Paris is Day 12. The arrival day of Frankfurt is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Oslo, Prague, Milan, Reykjavik, Paris].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Krakow, Vilnius] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Paris to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 13 - 17).\n           |- The departure day of Lyon is Day 13. The arrival day of Frankfurt is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Oslo, Prague, Milan, Reykjavik, Paris, Lyon].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Frankfurt.\n             |- Try arranging to visit Frankfurt from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Lyon to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Oslo, Prague, Milan, Reykjavik, Paris, Lyon, Frankfurt].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Frankfurt to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Oslo, Prague, Milan, Reykjavik, Paris, Lyon, Frankfurt, Krakow].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Krakow to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Oslo, Prague, Milan, Reykjavik, Paris, Lyon, Frankfurt, Krakow, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Prague.\n**Day 2-3:** Visit Prague for 2 days.\n**Day 3:** Fly from Prague to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Lyon.\n**Day 12-13:** Visit Lyon for 2 days.\n**Day 13:** Fly from Lyon to Frankfurt.\n**Day 13-17:** Visit Frankfurt for 5 days.\n**Day 17:** Fly from Frankfurt to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.\n**Day 19:** Fly from Krakow to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Dubrovnik**Athens**Mykonos**Geneva**Berlin**Edinburgh**Prague**Lyon",
    "ground_truth_durations": "3**4**2**4**3**2**3**2**4",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Berlin",
        "Edinburgh"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Geneva",
        "Prague"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. During day 1 and day 3, you have to attend a conference in Rome. You would like to visit Dubrovnik for 4 days. From day 3 to day 6, there is a annual show you want to attend in Dubrovnik. You would like to visit Lyon for 4 days. You would like to visit Mykonos for 4 days. You plan to stay in Prague for 2 days. You would like to visit Geneva for 3 days. You want to spend 3 days in Edinburgh. You plan to stay in Athens for 2 days. You would like to meet your friends at Athens between day 6 and day 7 to tour together. You would like to visit Berlin for 2 days. You are going to attend a wedding in Berlin between day 12 and day 13.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Geneva and Edinburgh, Dubrovnik and Geneva, Rome and Mykonos, Athens and Berlin, Athens and Geneva, Rome and Dubrovnik, Athens and Prague, Berlin and Edinburgh, Mykonos and Geneva, Rome and Geneva, Rome and Athens, Rome and Berlin, Dubrovnik and Athens, Geneva and Prague, Rome and Edinburgh, Rome and Prague, Athens and Edinburgh, Rome and Lyon, Athens and Mykonos, Geneva and Berlin, Edinburgh and Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. During day 1 and day 3, you have to attend a conference in Rome. You would like to visit Dubrovnik for 4 days. From day 3 to day 6, there is a annual show you want to attend in Dubrovnik. You would like to visit Lyon for 4 days. You would like to visit Mykonos for 4 days. You plan to stay in Prague for 2 days. You would like to visit Geneva for 3 days. You want to spend 3 days in Edinburgh. You plan to stay in Athens for 2 days. You would like to meet your friends at Athens between day 6 and day 7 to tour together. You would like to visit Berlin for 2 days. You are going to attend a wedding in Berlin between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Geneva to Edinburgh, from Dubrovnik to Geneva, from Rome to Mykonos, from Athens to Berlin, from Athens to Geneva, from Rome to Dubrovnik, from Athens to Prague, from Berlin to Edinburgh, from Mykonos to Geneva, from Rome to Geneva, from Rome to Athens, from Rome to Berlin, from Dubrovnik to Athens, from Geneva to Prague, from Rome to Edinburgh, from Rome to Prague, from Athens to Edinburgh, from Rome to Lyon, from Athens to Mykonos, from Geneva to Berlin, from Edinburgh to Prague.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Dubrovnik.\n**Day 3-6:** Visit Dubrovnik for 4 days.\n**Day 6:** Fly from Dubrovnik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Berlin.\n**Day 12-13:** Visit Berlin for 2 days.\n**Day 13:** Fly from Berlin to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Prague.\n**Day 15-16:** Visit Prague for 2 days.\n**Day 16:** Fly from Prague to Lyon.\n**Day 16-19:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_1344",
    "estimated_output_tokens": 2493,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Lyon, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 3.\n* City: Dubrovnik, Fixed Schedule: Day 3 - 6.\n* City: Athens, Fixed Schedule: Day 6 - 7.\n* City: Berlin, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Edinburgh, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 6).\n |- The departure day of Rome is Day 3. The arrival day of Dubrovnik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Rome to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 6 - 7).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Athens is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 12 - 13).\n     |- The departure day of Athens is Day 7. The arrival day of Berlin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Rome, Dubrovnik, Athens].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Prague, Geneva, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Athens to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Athens to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 12 - 13).\n       |- The departure day of Mykonos is Day 10. The arrival day of Berlin is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Rome, Dubrovnik, Athens, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Prague, Geneva, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Mykonos to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Mykonos to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Mykonos to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 12 - 13).\n         |- The departure day of Geneva is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Rome, Dubrovnik, Athens, Mykonos, Geneva].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Geneva to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Rome, Dubrovnik, Athens, Mykonos, Geneva, Berlin].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Prague, Edinburgh] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Berlin to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Berlin to Prague.\n             |- No. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Berlin to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Rome, Dubrovnik, Athens, Mykonos, Geneva, Berlin, Edinburgh].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Prague] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Edinburgh to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Prague from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Edinburgh to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Rome, Dubrovnik, Athens, Mykonos, Geneva, Berlin, Edinburgh, Prague].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Prague to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Rome, Dubrovnik, Athens, Mykonos, Geneva, Berlin, Edinburgh, Prague, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Rome and visit Rome for 3 days.\n**Day 3:** Fly from Rome to Dubrovnik.\n**Day 3-6:** Visit Dubrovnik for 4 days.\n**Day 6:** Fly from Dubrovnik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Berlin.\n**Day 12-13:** Visit Berlin for 2 days.\n**Day 13:** Fly from Berlin to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Prague.\n**Day 15-16:** Visit Prague for 2 days.\n**Day 16:** Fly from Prague to Lyon.\n**Day 16-19:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Copenhagen**Tallinn**Vilnius**Vienna**Mykonos**Rome**Bucharest**Lyon",
    "ground_truth_durations": "4**3**5**3**3**3**5**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Lyon"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Vienna",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. During day 23 and day 24, you have to attend a conference in Lyon. You want to spend 5 days in Tallinn. You would like to visit Rome for 5 days. You would like to visit Bucharest for 4 days. You plan to stay in Porto for 4 days. You plan to stay in Vilnius for 3 days. You want to spend 3 days in Mykonos. You plan to stay in Vienna for 3 days. You plan to stay in Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 4 and day 6.\n\nHere are the cities that have direct flights:\nPorto and Lyon, Mykonos and Rome, Rome and Lyon, Rome and Bucharest, Bucharest and Lyon, Vienna and Bucharest, from Tallinn to Vilnius, Porto and Copenhagen, Copenhagen and Rome, Porto and Vienna, Copenhagen and Bucharest, Vienna and Lyon, Copenhagen and Vilnius, Copenhagen and Vienna, Vilnius and Vienna, Copenhagen and Tallinn, Vienna and Mykonos, Vienna and Rome.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. During day 23 and day 24, you have to attend a conference in Lyon. You want to spend 5 days in Tallinn. You would like to visit Rome for 5 days. You would like to visit Bucharest for 4 days. You plan to stay in Porto for 4 days. You plan to stay in Vilnius for 3 days. You want to spend 3 days in Mykonos. You plan to stay in Vienna for 3 days. You plan to stay in Copenhagen for 3 days. You plan to visit relatives in Copenhagen between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Porto to Lyon, from Mykonos to Rome, from Rome to Lyon, from Rome to Bucharest, from Bucharest to Lyon, from Vienna to Bucharest, from Tallinn to Vilnius, from Porto to Copenhagen, from Copenhagen to Rome, from Porto to Vienna, from Copenhagen to Bucharest, from Vienna to Lyon, from Copenhagen to Vilnius, from Copenhagen to Vienna, from Vilnius to Vienna, from Copenhagen to Tallinn, from Vienna to Mykonos, from Vienna to Rome.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Copenhagen.\n**Day 4-6:** Visit Copenhagen for 3 days.\n**Day 6:** Fly from Copenhagen to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.\n**Day 16:** Fly from Mykonos to Rome.\n**Day 16-20:** Visit Rome for 5 days.\n**Day 20:** Fly from Rome to Bucharest.\n**Day 20-23:** Visit Bucharest for 4 days.\n**Day 23:** Fly from Bucharest to Lyon.\n**Day 23-24:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1345",
    "estimated_output_tokens": 3942,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Tallinn, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Vienna, Duration: 3 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 4 - 6.\n* City: Lyon, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Rome, Bucharest, Porto, Vilnius, Mykonos, Vienna] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 6).\n |- The departure day of Tallinn is Day 5. The arrival day of Copenhagen is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 6).\n |- The departure day of Rome is Day 5. The arrival day of Copenhagen is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 6).\n |- The departure day of Bucharest is Day 4. The arrival day of Copenhagen is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 4 - 6).\n |- The departure day of Porto is Day 4. The arrival day of Copenhagen is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Copenhagen.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Porto to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 23 - 24).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Lyon is Day 23. Day 6 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Porto, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Rome, Bucharest, Vilnius, Mykonos, Vienna] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 23 - 24).\n     |- The departure day of Tallinn is Day 10. The arrival day of Lyon is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Porto, Copenhagen, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Bucharest, Vilnius, Mykonos, Vienna] and explore these options in order.\n       |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Tallinn to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Tallinn to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 23 - 24).\n       |- The departure day of Vilnius is Day 12. The arrival day of Lyon is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Porto, Copenhagen, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Bucharest, Mykonos, Vienna] and explore these options in order.\n         |- Try arranging to visit Rome from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vilnius to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Vilnius to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Vilnius to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Vilnius to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 23 - 24).\n         |- The departure day of Vienna is Day 14. The arrival day of Lyon is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Bucharest, Mykonos] and explore these options in order.\n           |- Try arranging to visit Rome from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 23 - 24).\n           |- The departure day of Rome is Day 18. The arrival day of Lyon is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Rome].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Mykonos] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Rome to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Lyon (Day 23 - 24).\n             |- The departure day of Bucharest is Day 21. The arrival day of Lyon is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Rome, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Bucharest to Mykonos.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Rome to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vienna to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 23 - 24).\n           |- The departure day of Bucharest is Day 17. The arrival day of Lyon is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos] and explore these options in order.\n             |- Try arranging to visit Rome from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Bucharest to Rome.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Bucharest to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 23 - 24).\n           |- The departure day of Mykonos is Day 16. The arrival day of Lyon is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Mykonos].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Bucharest] and explore these options in order.\n             |- Try arranging to visit Rome from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Mykonos to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lyon (Day 23 - 24).\n             |- The departure day of Rome is Day 20. The arrival day of Lyon is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Mykonos, Rome].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Rome to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Lyon (Day 23 - 24).\n               |- The departure day of Bucharest is Day 23. The arrival day of Lyon is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Mykonos, Rome, Bucharest].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Lyon.\n                 |- Try arranging to visit Lyon from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Bucharest to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Porto, Copenhagen, Tallinn, Vilnius, Vienna, Mykonos, Rome, Bucharest, Lyon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Porto and visit Porto for 4 days.\n**Day 4:** Fly from Porto to Copenhagen.\n**Day 4-6:** Visit Copenhagen for 3 days.\n**Day 6:** Fly from Copenhagen to Tallinn.\n**Day 6-10:** Visit Tallinn for 5 days.\n**Day 10:** Fly from Tallinn to Vilnius.\n**Day 10-12:** Visit Vilnius for 3 days.\n**Day 12:** Fly from Vilnius to Vienna.\n**Day 12-14:** Visit Vienna for 3 days.\n**Day 14:** Fly from Vienna to Mykonos.\n**Day 14-16:** Visit Mykonos for 3 days.\n**Day 16:** Fly from Mykonos to Rome.\n**Day 16-20:** Visit Rome for 5 days.\n**Day 20:** Fly from Rome to Bucharest.\n**Day 20-23:** Visit Bucharest for 4 days.\n**Day 23:** Fly from Bucharest to Lyon.\n**Day 23-24:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Santorini**Rome**Seville**Edinburgh**Nice**Warsaw**Brussels**Florence",
    "ground_truth_durations": "2**5**4**2**4**3**3**5**2",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Warsaw",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 4 days. You want to spend 4 days in Edinburgh. You want to meet a friend in Edinburgh between day 10 and day 13. You want to spend 2 days in Florence. During day 21 and day 22, you have to attend a conference in Florence. You want to spend 3 days in Nice. You would like to visit Warsaw for 3 days. You would like to visit Brussels for 5 days. You would like to visit Seville for 2 days. From day 9 to day 10, there is a annual show you want to attend in Seville. You want to spend 5 days in Santorini. You would like to visit Venice for 2 days. You would like to meet your friends at Venice between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nRome and Edinburgh, Nice and Brussels, Nice and Warsaw, Seville and Brussels, Rome and Nice, Rome and Warsaw, Brussels and Florence, Edinburgh and Brussels, Venice and Santorini, Venice and Rome, Edinburgh and Nice, Venice and Warsaw, Santorini and Rome, Venice and Nice, Rome and Brussels, Venice and Brussels, Rome and Seville, Venice and Edinburgh, Seville and Edinburgh, Warsaw and Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 4 days. You want to spend 4 days in Edinburgh. You want to meet a friend in Edinburgh between day 10 and day 13. You want to spend 2 days in Florence. During day 21 and day 22, you have to attend a conference in Florence. You want to spend 3 days in Nice. You would like to visit Warsaw for 3 days. You would like to visit Brussels for 5 days. You would like to visit Seville for 2 days. From day 9 to day 10, there is a annual show you want to attend in Seville. You want to spend 5 days in Santorini. You would like to visit Venice for 2 days. You would like to meet your friends at Venice between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nfrom Rome to Edinburgh, from Nice to Brussels, from Nice to Warsaw, from Seville to Brussels, from Rome to Nice, from Rome to Warsaw, from Brussels to Florence, from Edinburgh to Brussels, from Venice to Santorini, from Venice to Rome, from Edinburgh to Nice, from Venice to Warsaw, from Santorini to Rome, from Venice to Nice, from Rome to Brussels, from Venice to Brussels, from Rome to Seville, from Venice to Edinburgh, from Seville to Edinburgh, from Warsaw to Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Santorini.\n**Day 2-6:** Visit Santorini for 5 days.\n**Day 6:** Fly from Santorini to Rome.\n**Day 6-9:** Visit Rome for 4 days.\n**Day 9:** Fly from Rome to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Edinburgh.\n**Day 10-13:** Visit Edinburgh for 4 days.\n**Day 13:** Fly from Edinburgh to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Brussels.\n**Day 17-21:** Visit Brussels for 5 days.\n**Day 21:** Fly from Brussels to Florence.\n**Day 21-22:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1346",
    "estimated_output_tokens": 6106,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Nice, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Brussels, Duration: 5 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Santorini, Duration: 5 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 2.\n* City: Seville, Fixed Schedule: Day 9 - 10.\n* City: Edinburgh, Fixed Schedule: Day 10 - 13.\n* City: Florence, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Nice, Duration: 3 days.\n* City: Warsaw, Duration: 3 days.\n* City: Brussels, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 9 - 10).\n |- The departure day of Venice is Day 2. The arrival day of Seville is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Warsaw, Brussels, Santorini] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Rome is Day 5. The arrival day of Seville is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Brussels, Santorini] and explore these options in order.\n     |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 10).\n     |- The departure day of Nice is Day 7. The arrival day of Seville is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Rome, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Brussels, Santorini] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Nice to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 9 - 10).\n       |- The departure day of Warsaw is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Rome, Nice, Warsaw].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Warsaw to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Nice to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 9 - 10).\n       |- The departure day of Brussels is Day 11. The arrival day of Seville is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Nice to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 10).\n     |- The departure day of Warsaw is Day 7. The arrival day of Seville is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Rome, Warsaw].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Brussels, Santorini] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Warsaw to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 9 - 10).\n       |- The departure day of Brussels is Day 11. The arrival day of Seville is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 9 - 10).\n     |- The departure day of Brussels is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Rome, Brussels].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Brussels to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Nice is Day 4. The arrival day of Seville is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Nice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Warsaw, Brussels, Santorini] and explore these options in order.\n     |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Nice to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Nice to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 10).\n     |- The departure day of Warsaw is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Venice, Nice, Warsaw].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Brussels, Santorini] and explore these options in order.\n       |- Try arranging to visit Rome from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Warsaw to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Warsaw to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 10).\n       |- The departure day of Brussels is Day 10. The arrival day of Seville is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 10).\n     |- The departure day of Brussels is Day 8. The arrival day of Seville is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Nice, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Warsaw, Santorini] and explore these options in order.\n       |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Brussels to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Brussels to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Warsaw is Day 4. The arrival day of Seville is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Brussels, Santorini] and explore these options in order.\n     |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Warsaw to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 9 - 10).\n     |- The departure day of Brussels is Day 8. The arrival day of Seville is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Warsaw, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Santorini] and explore these options in order.\n       |- Try arranging to visit Rome from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Brussels to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Brussels to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Brussels is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Warsaw, Santorini] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Brussels to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Brussels to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Seville (Day 9 - 10).\n   |- The departure day of Santorini is Day 6. The arrival day of Seville is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Santorini].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Warsaw, Brussels] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Santorini to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 9 - 10).\n     |- The departure day of Rome is Day 9. The arrival day of Seville is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Santorini, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 10 - 13).\n       |- The departure day of Seville is Day 10. The arrival day of Edinburgh is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Venice, Santorini, Rome, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Seville to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 21 - 22).\n         |- The departure day of Edinburgh is Day 13. The arrival day of Florence is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Santorini, Rome, Seville, Edinburgh].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Warsaw, Brussels] and explore these options in order.\n           |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Edinburgh to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 21 - 22).\n           |- The departure day of Nice is Day 15. The arrival day of Florence is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Santorini, Rome, Seville, Edinburgh, Nice].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Brussels] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Nice to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 21 - 22).\n             |- The departure day of Warsaw is Day 17. The arrival day of Florence is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Venice, Santorini, Rome, Seville, Edinburgh, Nice, Warsaw].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Brussels] and explore these options in order.\n               |- Try arranging to visit Brussels from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Warsaw to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 21 - 22).\n               |- The departure day of Brussels is Day 21. The arrival day of Florence is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Venice, Santorini, Rome, Seville, Edinburgh, Nice, Warsaw, Brussels].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Florence.\n                 |- Try arranging to visit Florence from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Brussels to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Venice, Santorini, Rome, Seville, Edinburgh, Nice, Warsaw, Brussels, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Santorini.\n**Day 2-6:** Visit Santorini for 5 days.\n**Day 6:** Fly from Santorini to Rome.\n**Day 6-9:** Visit Rome for 4 days.\n**Day 9:** Fly from Rome to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Edinburgh.\n**Day 10-13:** Visit Edinburgh for 4 days.\n**Day 13:** Fly from Edinburgh to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Brussels.\n**Day 17-21:** Visit Brussels for 5 days.\n**Day 21:** Fly from Brussels to Florence.\n**Day 21-22:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Copenhagen**Krakow**Valencia**Prague**Rome**Stockholm**Dubrovnik**Naples",
    "ground_truth_durations": "3**3**3**5**4**3**2**3**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Krakow",
        "Prague"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 3 days. You would like to visit Dubrovnik for 3 days. You want to spend 2 days in Stockholm. You want to meet a friend in Stockholm between day 16 and day 17. You want to spend 3 days in Venice. You plan to stay in Rome for 3 days. You plan to visit relatives in Rome between day 14 and day 16. You would like to visit Naples for 3 days. You want to spend 3 days in Krakow. You would like to visit Prague for 4 days. You would like to visit Valencia for 5 days. During day 7 and day 11, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nStockholm and Dubrovnik, Copenhagen and Stockholm, Copenhagen and Naples, Valencia and Rome, Krakow and Stockholm, Rome and Naples, Rome and Stockholm, Copenhagen and Prague, Prague and Rome, Venice and Naples, Venice and Copenhagen, Valencia and Prague, Copenhagen and Krakow, Valencia and Naples, Krakow and Valencia, Prague and Stockholm, Copenhagen and Rome, Dubrovnik and Naples, Venice and Rome, Krakow and Prague, Rome and Dubrovnik, Copenhagen and Dubrovnik, Copenhagen and Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 3 days. You would like to visit Dubrovnik for 3 days. You want to spend 2 days in Stockholm. You want to meet a friend in Stockholm between day 16 and day 17. You want to spend 3 days in Venice. You plan to stay in Rome for 3 days. You plan to visit relatives in Rome between day 14 and day 16. You would like to visit Naples for 3 days. You want to spend 3 days in Krakow. You would like to visit Prague for 4 days. You would like to visit Valencia for 5 days. During day 7 and day 11, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Dubrovnik, from Copenhagen to Stockholm, from Copenhagen to Naples, from Valencia to Rome, from Krakow to Stockholm, from Rome to Naples, from Rome to Stockholm, from Copenhagen to Prague, from Prague to Rome, from Venice to Naples, from Venice to Copenhagen, from Valencia to Prague, from Copenhagen to Krakow, from Valencia to Naples, from Krakow to Valencia, from Prague to Stockholm, from Copenhagen to Rome, from Dubrovnik to Naples, from Venice to Rome, from Krakow to Prague, from Rome to Dubrovnik, from Copenhagen to Dubrovnik, from Copenhagen to Valencia.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Copenhagen.\n**Day 3-5:** Visit Copenhagen for 3 days.\n**Day 5:** Fly from Copenhagen to Krakow.\n**Day 5-7:** Visit Krakow for 3 days.\n**Day 7:** Fly from Krakow to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Rome.\n**Day 14-16:** Visit Rome for 3 days.\n**Day 16:** Fly from Rome to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n**Day 19:** Fly from Dubrovnik to Naples.\n**Day 19-21:** Visit Naples for 3 days.",
    "id": "trip_planning_example_1347",
    "estimated_output_tokens": 6070,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Venice, Duration: 3 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Naples, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 7 - 11.\n* City: Rome, Fixed Schedule: Day 14 - 16.\n* City: Stockholm, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Dubrovnik, Venice, Naples, Krakow, Prague] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 11).\n |- The departure day of Copenhagen is Day 3. The arrival day of Valencia is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Venice, Naples, Krakow, Prague] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Naples, Krakow, Prague] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dubrovnik to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dubrovnik to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n     |- The departure day of Naples is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Dubrovnik, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Naples to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Dubrovnik to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dubrovnik to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Naples is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Venice, Krakow, Prague] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Naples to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Copenhagen to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Krakow is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Krakow].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Venice, Naples, Prague] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Krakow to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Krakow to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Krakow to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n     |- The departure day of Prague is Day 8. The arrival day of Valencia is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Prague is Day 6. The arrival day of Valencia is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Venice, Naples, Krakow] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 11).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Valencia is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice, Naples, Krakow, Prague] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Naples is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Venice, Krakow, Prague] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Naples to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Naples to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 11).\n |- The departure day of Venice is Day 3. The arrival day of Valencia is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Dubrovnik, Naples, Krakow, Prague] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Copenhagen].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples, Krakow, Prague] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Copenhagen, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dubrovnik to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n     |- The departure day of Naples is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Copenhagen, Naples].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Naples to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Copenhagen to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n     |- The departure day of Krakow is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Venice, Copenhagen, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Krakow to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 14 - 16).\n       |- The departure day of Valencia is Day 11. The arrival day of Rome is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Copenhagen, Krakow, Valencia].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples, Prague] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Valencia to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 14 - 16).\n         |- The departure day of Naples is Day 13. The arrival day of Rome is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Copenhagen, Krakow, Valencia, Naples].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Prague] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Naples to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Naples to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Valencia to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Rome (Day 14 - 16).\n         |- The departure day of Prague is Day 14. The arrival day of Rome is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Venice, Copenhagen, Krakow, Valencia, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Rome.\n           |- Try arranging to visit Rome from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 17).\n           |- The departure day of Rome is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Copenhagen, Krakow, Valencia, Prague, Rome].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Rome to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Venice, Copenhagen, Krakow, Valencia, Prague, Rome, Stockholm].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Naples] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Stockholm to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Venice, Copenhagen, Krakow, Valencia, Prague, Rome, Stockholm, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Dubrovnik to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Venice, Copenhagen, Krakow, Valencia, Prague, Rome, Stockholm, Dubrovnik, Naples].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Copenhagen.\n**Day 3-5:** Visit Copenhagen for 3 days.\n**Day 5:** Fly from Copenhagen to Krakow.\n**Day 5-7:** Visit Krakow for 3 days.\n**Day 7:** Fly from Krakow to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Prague.\n**Day 11-14:** Visit Prague for 4 days.\n**Day 14:** Fly from Prague to Rome.\n**Day 14-16:** Visit Rome for 3 days.\n**Day 16:** Fly from Rome to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n**Day 19:** Fly from Dubrovnik to Naples.\n**Day 19-21:** Visit Naples for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Rome**Prague**Vienna**Zurich**Frankfurt**Tallinn**Vilnius**Milan",
    "ground_truth_durations": "2**4**4**2**2**3**4**4**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Vienna",
        "Milan"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Rome",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 9 and day 10. You plan to stay in Milan for 3 days. You want to spend 2 days in Vienna. From day 8 to day 9, there is a annual show you want to attend in Vienna. You want to spend 3 days in Frankfurt. You have to attend a workshop in Frankfurt between day 10 and day 12. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Hamburg. You want to spend 4 days in Rome. You plan to stay in Prague for 4 days. You would like to meet your friends at Prague between day 5 and day 8 to tour together. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nHamburg and Vienna, Hamburg and Rome, Frankfurt and Milan, Vienna and Milan, Prague and Vienna, Zurich and Tallinn, Prague and Zurich, Vienna and Frankfurt, Zurich and Frankfurt, Rome and Zurich, Rome and Vienna, Frankfurt and Tallinn, Prague and Tallinn, Frankfurt and Vilnius, Vilnius and Milan, Zurich and Vilnius, Vienna and Zurich, Vienna and Vilnius, Prague and Milan, Hamburg and Frankfurt, from Tallinn to Vilnius, Prague and Frankfurt, Rome and Frankfurt, Zurich and Milan, Hamburg and Zurich, Hamburg and Milan, Rome and Prague.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 9 and day 10. You plan to stay in Milan for 3 days. You want to spend 2 days in Vienna. From day 8 to day 9, there is a annual show you want to attend in Vienna. You want to spend 3 days in Frankfurt. You have to attend a workshop in Frankfurt between day 10 and day 12. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Hamburg. You want to spend 4 days in Rome. You plan to stay in Prague for 4 days. You would like to meet your friends at Prague between day 5 and day 8 to tour together. You plan to stay in Tallinn for 4 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Vienna, from Hamburg to Rome, from Frankfurt to Milan, from Vienna to Milan, from Prague to Vienna, from Zurich to Tallinn, from Prague to Zurich, from Vienna to Frankfurt, from Zurich to Frankfurt, from Rome to Zurich, from Rome to Vienna, from Frankfurt to Tallinn, from Prague to Tallinn, from Frankfurt to Vilnius, from Vilnius to Milan, from Zurich to Vilnius, from Vienna to Zurich, from Vienna to Vilnius, from Prague to Milan, from Hamburg to Frankfurt, from Tallinn to Vilnius, from Prague to Frankfurt, from Rome to Frankfurt, from Zurich to Milan, from Hamburg to Zurich, from Hamburg to Milan, from Rome to Prague.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Vienna.\n**Day 8-9:** Visit Vienna for 2 days.\n**Day 9:** Fly from Vienna to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Tallinn.\n**Day 12-15:** Visit Tallinn for 4 days.\n**Day 15:** Fly from Tallinn to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Milan.\n**Day 18-20:** Visit Milan for 3 days.",
    "id": "trip_planning_example_1348",
    "estimated_output_tokens": 4268,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Milan, Duration: 3 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Vilnius, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Rome, Duration: 4 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 5 - 8.\n* City: Vienna, Fixed Schedule: Day 8 - 9.\n* City: Zurich, Fixed Schedule: Day 9 - 10.\n* City: Frankfurt, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Rome, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Vilnius, Hamburg, Rome, Tallinn] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Milan is Day 3. The arrival day of Prague is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Rome, Tallinn] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Milan to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Vilnius is Day 4. The arrival day of Prague is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Hamburg, Rome, Tallinn] and explore these options in order.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 5 - 8).\n   |- The departure day of Milan is Day 6. The arrival day of Prague is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 8).\n |- The departure day of Hamburg is Day 2. The arrival day of Prague is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Rome, Tallinn] and explore these options in order.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 5 - 8).\n   |- The departure day of Milan is Day 4. The arrival day of Prague is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Rome, Tallinn] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Milan to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Hamburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Hamburg to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 5 - 8).\n   |- The departure day of Rome is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Hamburg, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 8 - 9).\n     |- The departure day of Prague is Day 8. The arrival day of Vienna is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Rome, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Prague to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 9 - 10).\n       |- The departure day of Vienna is Day 9. The arrival day of Zurich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Rome, Prague, Vienna].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Vienna to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 10 - 12).\n         |- The departure day of Zurich is Day 10. The arrival day of Frankfurt is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Zurich to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius, Tallinn] and explore these options in order.\n             |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Frankfurt to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Milan].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Milan to Vilnius.\n               |- No. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Milan to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Frankfurt to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Vilnius].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn] and explore these options in order.\n               |- Try arranging to visit Milan from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Vilnius to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Vilnius, Milan].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Milan to Tallinn.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Vilnius to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Frankfurt to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Tallinn].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan, Vilnius] and explore these options in order.\n               |- Try arranging to visit Milan from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Tallinn to Milan.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Tallinn to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Tallinn, Vilnius].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n                 |- Try arranging to visit Milan from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Vilnius to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Hamburg, Rome, Prague, Vienna, Zurich, Frankfurt, Tallinn, Vilnius, Milan].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Hamburg and visit Hamburg for 2 days.\n**Day 2:** Fly from Hamburg to Rome.\n**Day 2-5:** Visit Rome for 4 days.\n**Day 5:** Fly from Rome to Prague.\n**Day 5-8:** Visit Prague for 4 days.\n**Day 8:** Fly from Prague to Vienna.\n**Day 8-9:** Visit Vienna for 2 days.\n**Day 9:** Fly from Vienna to Zurich.\n**Day 9-10:** Visit Zurich for 2 days.\n**Day 10:** Fly from Zurich to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Tallinn.\n**Day 12-15:** Visit Tallinn for 4 days.\n**Day 15:** Fly from Tallinn to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Milan.\n**Day 18-20:** Visit Milan for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**London**Prague**Lyon**Munich**Hamburg**Helsinki**Madrid**Santorini",
    "ground_truth_durations": "2**5**5**5**5**2**2**2**3",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "London",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You would like to visit Helsinki for 2 days. You would like to visit Lyon for 5 days. You would like to meet your friends at Lyon between day 10 and day 14 to tour together. You plan to stay in Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 18 and day 19. You plan to stay in Stuttgart for 2 days. You would like to visit Munich for 5 days. You would like to visit Santorini for 3 days. You would like to visit London for 5 days. From day 2 to day 6, there is a annual show you want to attend in London. You would like to visit Madrid for 2 days.\n\nHere are the cities that have direct flights:\nPrague and Helsinki, Lyon and Munich, Munich and Madrid, Prague and Lyon, Prague and Munich, Munich and Hamburg, Hamburg and Helsinki, Helsinki and Madrid, Prague and Madrid, London and Munich, Lyon and Madrid, Stuttgart and Hamburg, London and Lyon, London and Hamburg, London and Helsinki, London and Prague, Madrid and Santorini, London and Madrid, Munich and Helsinki, Stuttgart and London, Hamburg and Madrid, London and Santorini.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 5 days. You would like to visit Helsinki for 2 days. You would like to visit Lyon for 5 days. You would like to meet your friends at Lyon between day 10 and day 14 to tour together. You plan to stay in Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 18 and day 19. You plan to stay in Stuttgart for 2 days. You would like to visit Munich for 5 days. You would like to visit Santorini for 3 days. You would like to visit London for 5 days. From day 2 to day 6, there is a annual show you want to attend in London. You would like to visit Madrid for 2 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Helsinki, from Lyon to Munich, from Munich to Madrid, from Prague to Lyon, from Prague to Munich, from Munich to Hamburg, from Hamburg to Helsinki, from Helsinki to Madrid, from Prague to Madrid, from London to Munich, from Lyon to Madrid, from Stuttgart to Hamburg, from London to Lyon, from London to Hamburg, from London to Helsinki, from London to Prague, from Madrid to Santorini, from London to Madrid, from Munich to Helsinki, from Stuttgart to London, from Hamburg to Madrid, from London to Santorini.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to London.\n**Day 2-6:** Visit London for 5 days.\n**Day 6:** Fly from London to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Hamburg.\n**Day 18-19:** Visit Hamburg for 2 days.\n**Day 19:** Fly from Hamburg to Helsinki.\n**Day 19-20:** Visit Helsinki for 2 days.\n**Day 20:** Fly from Helsinki to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Santorini.\n**Day 21-23:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1349",
    "estimated_output_tokens": 2612,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Stuttgart, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Madrid, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 2 - 6.\n* City: Lyon, Fixed Schedule: Day 10 - 14.\n* City: Hamburg, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Helsinki, Stuttgart, Munich, Santorini, Madrid] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 2 - 6).\n |- The departure day of Prague is Day 5. The arrival day of London is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 2 - 6).\n |- The departure day of Helsinki is Day 2. The arrival day of London is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: London.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 2 - 6).\n |- The departure day of Stuttgart is Day 2. The arrival day of London is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: London.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stuttgart to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 10 - 14).\n   |- The departure day of London is Day 6. The arrival day of Lyon is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stuttgart, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Helsinki, Munich, Santorini, Madrid] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 14).\n     |- The departure day of Prague is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Stuttgart, London, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Hamburg (Day 18 - 19).\n       |- The departure day of Lyon is Day 14. The arrival day of Hamburg is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, London, Prague, Lyon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Munich, Santorini, Madrid] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Lyon to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lyon to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 18 - 19).\n         |- The departure day of Munich is Day 18. The arrival day of Hamburg is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, London, Prague, Lyon, Munich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Munich to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Stuttgart, London, Prague, Lyon, Munich, Hamburg].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Madrid] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Hamburg to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stuttgart, London, Prague, Lyon, Munich, Hamburg, Helsinki].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Madrid] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Helsinki to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Madrid from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Helsinki to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Stuttgart, London, Prague, Lyon, Munich, Hamburg, Helsinki, Madrid].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Madrid to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Stuttgart, London, Prague, Lyon, Munich, Hamburg, Helsinki, Madrid, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stuttgart and visit Stuttgart for 2 days.\n**Day 2:** Fly from Stuttgart to London.\n**Day 2-6:** Visit London for 5 days.\n**Day 6:** Fly from London to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Hamburg.\n**Day 18-19:** Visit Hamburg for 2 days.\n**Day 19:** Fly from Hamburg to Helsinki.\n**Day 19-20:** Visit Helsinki for 2 days.\n**Day 20:** Fly from Helsinki to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Santorini.\n**Day 21-23:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Split**London**Nice**Budapest**Barcelona**Dubrovnik**Athens**Santorini",
    "ground_truth_durations": "5**2**4**5**2**4**3**4**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Santorini"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Budapest",
        "Barcelona"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Split",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You have to attend a workshop in Nice between day 9 and day 13. You want to spend 4 days in Athens. You want to spend 5 days in Berlin. You plan to visit relatives in Berlin between day 1 and day 5. You plan to stay in London for 4 days. You would like to visit Santorini for 4 days. You want to spend 2 days in Split. You would like to visit Dubrovnik for 3 days. You want to meet a friend in Dubrovnik between day 17 and day 19. You would like to visit Barcelona for 4 days. You would like to visit Budapest for 2 days.\n\nHere are the cities that have direct flights:\nLondon and Santorini, London and Athens, London and Nice, Split and Athens, Barcelona and Athens, London and Barcelona, Berlin and Nice, Berlin and Barcelona, Nice and Barcelona, Budapest and Barcelona, Berlin and Athens, Berlin and London, Dubrovnik and Athens, Berlin and Split, Barcelona and Santorini, London and Budapest, Nice and Athens, Split and Barcelona, Berlin and Budapest, Athens and Santorini, Nice and Budapest, Barcelona and Dubrovnik, Split and London.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You have to attend a workshop in Nice between day 9 and day 13. You want to spend 4 days in Athens. You want to spend 5 days in Berlin. You plan to visit relatives in Berlin between day 1 and day 5. You plan to stay in London for 4 days. You would like to visit Santorini for 4 days. You want to spend 2 days in Split. You would like to visit Dubrovnik for 3 days. You want to meet a friend in Dubrovnik between day 17 and day 19. You would like to visit Barcelona for 4 days. You would like to visit Budapest for 2 days.\n\nHere are the cities that have direct flights:\nfrom London to Santorini, from London to Athens, from London to Nice, from Split to Athens, from Barcelona to Athens, from London to Barcelona, from Berlin to Nice, from Berlin to Barcelona, from Nice to Barcelona, from Budapest to Barcelona, from Berlin to Athens, from Berlin to London, from Dubrovnik to Athens, from Berlin to Split, from Barcelona to Santorini, from London to Budapest, from Nice to Athens, from Split to Barcelona, from Berlin to Budapest, from Athens to Santorini, from Nice to Budapest, from Barcelona to Dubrovnik, from Split to London.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Barcelona.\n**Day 14-17:** Visit Barcelona for 4 days.\n**Day 17:** Fly from Barcelona to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n**Day 19:** Fly from Dubrovnik to Athens.\n**Day 19-22:** Visit Athens for 4 days.\n**Day 22:** Fly from Athens to Santorini.\n**Day 22-25:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1350",
    "estimated_output_tokens": 4982,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Athens, Duration: 4 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: London, Duration: 4 days.\n* City: Santorini, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Barcelona, Duration: 4 days.\n* City: Budapest, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Nice, Fixed Schedule: Day 9 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: London, Duration: 4 days.\n* City: Santorini, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Budapest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 9 - 13).\n |- The departure day of Berlin is Day 5. The arrival day of Nice is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, London, Santorini, Split, Barcelona, Budapest] and explore these options in order.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 9 - 13).\n   |- The departure day of Athens is Day 8. The arrival day of Nice is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Santorini, Split, Barcelona, Budapest] and explore these options in order.\n     |- Try arranging to visit London from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 13).\n     |- The departure day of Santorini is Day 11. The arrival day of Nice is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Athens to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 9 - 13).\n   |- The departure day of London is Day 8. The arrival day of Nice is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Santorini, Split, Barcelona, Budapest] and explore these options in order.\n     |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from London to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 13).\n     |- The departure day of Athens is Day 11. The arrival day of Nice is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 13).\n     |- The departure day of Santorini is Day 11. The arrival day of Nice is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Split from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from London to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from London to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 13).\n     |- The departure day of Barcelona is Day 11. The arrival day of Nice is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from London to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 13).\n     |- The departure day of Budapest is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, London, Budapest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Budapest to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Berlin to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 9 - 13).\n   |- The departure day of Split is Day 6. The arrival day of Nice is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, London, Santorini, Barcelona, Budapest] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Split to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 13).\n     |- The departure day of Athens is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Split, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Athens to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Split to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 13).\n     |- The departure day of London is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Split, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from London to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dubrovnik (Day 17 - 19).\n       |- The departure day of Nice is Day 13. The arrival day of Dubrovnik is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Split, London, Nice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Santorini, Barcelona, Budapest] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 17 - 19).\n         |- The departure day of Athens is Day 16. The arrival day of Dubrovnik is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Berlin, Split, London, Nice, Athens].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Barcelona, Budapest] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Athens to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 17 - 19).\n           |- The departure day of Santorini is Day 19. The arrival day of Dubrovnik is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Athens to Barcelona.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Athens to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Nice to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 17 - 19).\n         |- The departure day of Barcelona is Day 16. The arrival day of Dubrovnik is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Berlin, Split, London, Nice, Barcelona].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Santorini, Budapest] and explore these options in order.\n           |- Try arranging to visit Athens from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Barcelona to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 17 - 19).\n           |- The departure day of Athens is Day 19. The arrival day of Dubrovnik is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Santorini from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Barcelona to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 17 - 19).\n           |- The departure day of Santorini is Day 19. The arrival day of Dubrovnik is Day 17. Day 19 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Budapest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Barcelona to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Nice to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 17 - 19).\n         |- The departure day of Budapest is Day 14. The arrival day of Dubrovnik is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, Split, London, Nice, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Santorini, Barcelona] and explore these options in order.\n           |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Budapest to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Budapest to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Budapest to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 17 - 19).\n           |- The departure day of Barcelona is Day 17. The arrival day of Dubrovnik is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Split, London, Nice, Budapest, Barcelona].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Barcelona to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Berlin, Split, London, Nice, Budapest, Barcelona, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Athens, Santorini] and explore these options in order.\n               |- Try arranging to visit Athens from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Dubrovnik to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Berlin, Split, London, Nice, Budapest, Barcelona, Dubrovnik, Athens].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Athens to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Berlin, Split, London, Nice, Budapest, Barcelona, Dubrovnik, Athens, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Split.\n**Day 5-6:** Visit Split for 2 days.\n**Day 6:** Fly from Split to London.\n**Day 6-9:** Visit London for 4 days.\n**Day 9:** Fly from London to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Barcelona.\n**Day 14-17:** Visit Barcelona for 4 days.\n**Day 17:** Fly from Barcelona to Dubrovnik.\n**Day 17-19:** Visit Dubrovnik for 3 days.\n**Day 19:** Fly from Dubrovnik to Athens.\n**Day 19-22:** Visit Athens for 4 days.\n**Day 22:** Fly from Athens to Santorini.\n**Day 22-25:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Bucharest**Valencia**Istanbul**Tallinn**Berlin**Split**Amsterdam**Mykonos",
    "ground_truth_durations": "3**4**5**3**3**3**3**3**3",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Bucharest",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. From day 18 to day 20, there is a annual show you want to attend in Amsterdam. You plan to stay in Tallinn for 3 days. You plan to stay in Istanbul for 3 days. You want to spend 5 days in Valencia. You are going to attend a wedding in Valencia between day 6 and day 10. You plan to stay in Split for 3 days. You want to spend 3 days in Santorini. You plan to stay in Bucharest for 4 days. During day 3 and day 6, you have to attend a conference in Bucharest. You want to spend 3 days in Mykonos. You plan to stay in Berlin for 3 days.\n\nHere are the cities that have direct flights:\nBucharest and Amsterdam, Istanbul and Berlin, Tallinn and Amsterdam, from Istanbul to Tallinn, Santorini and Amsterdam, Tallinn and Berlin, Valencia and Istanbul, Bucharest and Valencia, Bucharest and Istanbul, Istanbul and Amsterdam, Berlin and Split, Amsterdam and Mykonos, Valencia and Amsterdam, Split and Amsterdam, Santorini and Bucharest, Berlin and Amsterdam, Valencia and Berlin.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 3 days. From day 18 to day 20, there is a annual show you want to attend in Amsterdam. You plan to stay in Tallinn for 3 days. You plan to stay in Istanbul for 3 days. You want to spend 5 days in Valencia. You are going to attend a wedding in Valencia between day 6 and day 10. You plan to stay in Split for 3 days. You want to spend 3 days in Santorini. You plan to stay in Bucharest for 4 days. During day 3 and day 6, you have to attend a conference in Bucharest. You want to spend 3 days in Mykonos. You plan to stay in Berlin for 3 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Amsterdam, from Istanbul to Berlin, from Tallinn to Amsterdam, from Istanbul to Tallinn, from Santorini to Amsterdam, from Tallinn to Berlin, from Valencia to Istanbul, from Bucharest to Valencia, from Bucharest to Istanbul, from Istanbul to Amsterdam, from Berlin to Split, from Amsterdam to Mykonos, from Valencia to Amsterdam, from Split to Amsterdam, from Santorini to Bucharest, from Berlin to Amsterdam, from Valencia to Berlin.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Istanbul.\n**Day 10-12:** Visit Istanbul for 3 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-14:** Visit Tallinn for 3 days.\n**Day 14:** Fly from Tallinn to Berlin.\n**Day 14-16:** Visit Berlin for 3 days.\n**Day 16:** Fly from Berlin to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Amsterdam.\n**Day 18-20:** Visit Amsterdam for 3 days.\n**Day 20:** Fly from Amsterdam to Mykonos.\n**Day 20-22:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1351",
    "estimated_output_tokens": 3195,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Tallinn, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Split, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Mykonos, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 3 - 6.\n* City: Valencia, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Istanbul, Duration: 3 days.\n* City: Split, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Istanbul, Split, Santorini, Mykonos, Berlin] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Tallinn is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Istanbul is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Split is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 3 - 6).\n |- The departure day of Santorini is Day 3. The arrival day of Bucharest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Bucharest.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 6 - 10).\n   |- The departure day of Bucharest is Day 6. The arrival day of Valencia is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Bucharest to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 18 - 20).\n     |- The departure day of Valencia is Day 10. The arrival day of Amsterdam is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Santorini, Bucharest, Valencia].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul, Split, Mykonos, Berlin] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Valencia to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Valencia to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Amsterdam (Day 18 - 20).\n       |- The departure day of Istanbul is Day 12. The arrival day of Amsterdam is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, Bucharest, Valencia, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Split, Mykonos, Berlin] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Amsterdam (Day 18 - 20).\n         |- The departure day of Tallinn is Day 14. The arrival day of Amsterdam is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Bucharest, Valencia, Istanbul, Tallinn].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Mykonos, Berlin] and explore these options in order.\n           |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Tallinn to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Tallinn to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Tallinn to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 18 - 20).\n           |- The departure day of Berlin is Day 16. The arrival day of Amsterdam is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Bucharest, Valencia, Istanbul, Tallinn, Berlin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Mykonos] and explore these options in order.\n             |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Berlin to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Amsterdam (Day 18 - 20).\n             |- The departure day of Split is Day 18. The arrival day of Amsterdam is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Santorini, Bucharest, Valencia, Istanbul, Tallinn, Berlin, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Amsterdam.\n               |- Try arranging to visit Amsterdam from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Split to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Bucharest, Valencia, Istanbul, Tallinn, Berlin, Split, Amsterdam].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Amsterdam to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Santorini, Bucharest, Valencia, Istanbul, Tallinn, Berlin, Split, Amsterdam, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Bucharest.\n**Day 3-6:** Visit Bucharest for 4 days.\n**Day 6:** Fly from Bucharest to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Istanbul.\n**Day 10-12:** Visit Istanbul for 3 days.\n**Day 12:** Fly from Istanbul to Tallinn.\n**Day 12-14:** Visit Tallinn for 3 days.\n**Day 14:** Fly from Tallinn to Berlin.\n**Day 14-16:** Visit Berlin for 3 days.\n**Day 16:** Fly from Berlin to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Amsterdam.\n**Day 18-20:** Visit Amsterdam for 3 days.\n**Day 20:** Fly from Amsterdam to Mykonos.\n**Day 20-22:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Rome**Bucharest**Hamburg**Porto**Manchester**Split**Vilnius**Munich",
    "ground_truth_durations": "3**3**3**4**2**4**5**5**2",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Split"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Lyon",
        "Munich"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Rome",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You plan to stay in Lyon for 3 days. You want to meet a friend in Lyon between day 1 and day 3. You want to spend 3 days in Bucharest. You want to spend 5 days in Split. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 18 and day 22. You plan to stay in Porto for 2 days. You plan to stay in Rome for 3 days. You would like to meet your friends at Rome between day 3 and day 5 to tour together. You plan to stay in Hamburg for 4 days. During day 7 and day 10, you have to attend a conference in Hamburg. You would like to visit Munich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, Porto and Munich, Hamburg and Munich, Bucharest and Manchester, Bucharest and Munich, Hamburg and Manchester, Hamburg and Porto, Lyon and Split, Rome and Manchester, Split and Munich, Manchester and Munich, Lyon and Munich, Split and Vilnius, Lyon and Bucharest, from Vilnius to Munich, Rome and Split, Rome and Bucharest, Lyon and Rome, Bucharest and Hamburg, Lyon and Porto, Porto and Manchester, Rome and Munich, Hamburg and Split, Rome and Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You plan to stay in Lyon for 3 days. You want to meet a friend in Lyon between day 1 and day 3. You want to spend 3 days in Bucharest. You want to spend 5 days in Split. You plan to stay in Vilnius for 5 days. You have to attend a workshop in Vilnius between day 18 and day 22. You plan to stay in Porto for 2 days. You plan to stay in Rome for 3 days. You would like to meet your friends at Rome between day 3 and day 5 to tour together. You plan to stay in Hamburg for 4 days. During day 7 and day 10, you have to attend a conference in Hamburg. You would like to visit Munich for 2 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, from Porto to Munich, from Hamburg to Munich, from Bucharest to Manchester, from Bucharest to Munich, from Hamburg to Manchester, from Hamburg to Porto, from Lyon to Split, from Rome to Manchester, from Split to Munich, from Manchester to Munich, from Lyon to Munich, from Split to Vilnius, from Lyon to Bucharest, from Vilnius to Munich, from Rome to Split, from Rome to Bucharest, from Lyon to Rome, from Bucharest to Hamburg, from Lyon to Porto, from Porto to Manchester, from Rome to Munich, from Hamburg to Split, from Rome to Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Hamburg.\n**Day 7-10:** Visit Hamburg for 4 days.\n**Day 10:** Fly from Hamburg to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n**Day 11:** Fly from Porto to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.\n**Day 22:** Fly from Vilnius to Munich.\n**Day 22-23:** Visit Munich for 2 days.",
    "id": "trip_planning_example_1352",
    "estimated_output_tokens": 4116,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Bucharest, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Porto, Duration: 2 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Munich, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 3.\n* City: Rome, Fixed Schedule: Day 3 - 5.\n* City: Hamburg, Fixed Schedule: Day 7 - 10.\n* City: Vilnius, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: Bucharest, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 3 - 5).\n |- The departure day of Lyon is Day 3. The arrival day of Rome is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 7 - 10).\n   |- The departure day of Rome is Day 5. The arrival day of Hamburg is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Bucharest, Split, Porto, Munich] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 7 - 10).\n     |- The departure day of Manchester is Day 8. The arrival day of Hamburg is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Rome to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 7 - 10).\n     |- The departure day of Bucharest is Day 7. The arrival day of Hamburg is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Rome, Bucharest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Bucharest to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 18 - 22).\n       |- The departure day of Hamburg is Day 10. The arrival day of Vilnius is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Rome, Bucharest, Hamburg].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Split, Porto, Munich] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Hamburg to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 18 - 22).\n         |- The departure day of Manchester is Day 13. The arrival day of Vilnius is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, Rome, Bucharest, Hamburg, Manchester].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Porto, Munich] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Manchester to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 18 - 22).\n           |- The departure day of Split is Day 17. The arrival day of Vilnius is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lyon, Rome, Bucharest, Hamburg, Manchester, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Munich] and explore these options in order.\n             |- Try arranging to visit Porto from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Split to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Split to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 18 - 22).\n             |- The departure day of Munich is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lyon, Rome, Bucharest, Hamburg, Manchester, Split, Munich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Munich to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Manchester to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Manchester to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 18 - 22).\n           |- The departure day of Munich is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Rome, Bucharest, Hamburg, Manchester, Munich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Porto] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Munich to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Munich to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Hamburg to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 18 - 22).\n         |- The departure day of Split is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Rome, Bucharest, Hamburg, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Porto, Munich] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Split to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Split to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Split to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 18 - 22).\n           |- The departure day of Munich is Day 15. The arrival day of Vilnius is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Rome, Bucharest, Hamburg, Split, Munich].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Porto] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Munich to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Munich to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Hamburg to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 18 - 22).\n         |- The departure day of Porto is Day 11. The arrival day of Vilnius is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Rome, Bucharest, Hamburg, Porto].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Split, Munich] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Porto to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 18 - 22).\n           |- The departure day of Manchester is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Rome, Bucharest, Hamburg, Porto, Manchester].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Munich] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Manchester to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 18 - 22).\n             |- The departure day of Split is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lyon, Rome, Bucharest, Hamburg, Porto, Manchester, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Split to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Lyon, Rome, Bucharest, Hamburg, Porto, Manchester, Split, Vilnius].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n                 |- Try arranging to visit Munich from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Vilnius to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Lyon, Rome, Bucharest, Hamburg, Porto, Manchester, Split, Vilnius, Munich].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Hamburg.\n**Day 7-10:** Visit Hamburg for 4 days.\n**Day 10:** Fly from Hamburg to Porto.\n**Day 10-11:** Visit Porto for 2 days.\n**Day 11:** Fly from Porto to Manchester.\n**Day 11-14:** Visit Manchester for 4 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Vilnius.\n**Day 18-22:** Visit Vilnius for 5 days.\n**Day 22:** Fly from Vilnius to Munich.\n**Day 22-23:** Visit Munich for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Brussels**Tallinn**Warsaw**Porto**Milan**Helsinki**Vienna**Bucharest",
    "ground_truth_durations": "3**4**2**4**3**3**4**3**2",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to meet your friends at Bucharest between day 19 and day 20 to tour together. You plan to stay in Porto for 3 days. You plan to stay in Milan for 3 days. You would like to visit Tallinn for 2 days. You want to meet a friend in Tallinn between day 6 and day 7. You want to spend 4 days in Warsaw. You plan to stay in Helsinki for 4 days. During day 14 and day 17, you have to attend a conference in Helsinki. You would like to visit Vienna for 3 days. You plan to stay in Lyon for 3 days. You want to spend 4 days in Brussels.\n\nHere are the cities that have direct flights:\nMilan and Helsinki, Warsaw and Porto, Lyon and Vienna, Brussels and Helsinki, Warsaw and Milan, Brussels and Porto, Tallinn and Warsaw, Brussels and Tallinn, Porto and Milan, Porto and Vienna, Lyon and Porto, Lyon and Brussels, Brussels and Milan, Milan and Vienna, Tallinn and Helsinki, Helsinki and Vienna, Brussels and Bucharest, Warsaw and Helsinki, Warsaw and Vienna, Vienna and Bucharest, Brussels and Vienna, Brussels and Warsaw, Lyon and Bucharest, Warsaw and Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You would like to meet your friends at Bucharest between day 19 and day 20 to tour together. You plan to stay in Porto for 3 days. You plan to stay in Milan for 3 days. You would like to visit Tallinn for 2 days. You want to meet a friend in Tallinn between day 6 and day 7. You want to spend 4 days in Warsaw. You plan to stay in Helsinki for 4 days. During day 14 and day 17, you have to attend a conference in Helsinki. You would like to visit Vienna for 3 days. You plan to stay in Lyon for 3 days. You want to spend 4 days in Brussels.\n\nHere are the cities that have direct flights:\nfrom Milan to Helsinki, from Warsaw to Porto, from Lyon to Vienna, from Brussels to Helsinki, from Warsaw to Milan, from Brussels to Porto, from Tallinn to Warsaw, from Brussels to Tallinn, from Porto to Milan, from Porto to Vienna, from Lyon to Porto, from Lyon to Brussels, from Brussels to Milan, from Milan to Vienna, from Tallinn to Helsinki, from Helsinki to Vienna, from Brussels to Bucharest, from Warsaw to Helsinki, from Warsaw to Vienna, from Vienna to Bucharest, from Brussels to Vienna, from Brussels to Warsaw, from Lyon to Bucharest, from Warsaw to Bucharest.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Brussels.\n**Day 3-6:** Visit Brussels for 4 days.\n**Day 6:** Fly from Brussels to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Warsaw.\n**Day 7-10:** Visit Warsaw for 4 days.\n**Day 10:** Fly from Warsaw to Porto.\n**Day 10-12:** Visit Porto for 3 days.\n**Day 12:** Fly from Porto to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Vienna.\n**Day 17-19:** Visit Vienna for 3 days.\n**Day 19:** Fly from Vienna to Bucharest.\n**Day 19-20:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1353",
    "estimated_output_tokens": 6907,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Porto, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Warsaw, Duration: 4 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Vienna, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 6 - 7.\n* City: Helsinki, Fixed Schedule: Day 14 - 17.\n* City: Bucharest, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Warsaw, Duration: 4 days.\n* City: Vienna, Duration: 3 days.\n* City: Lyon, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Porto, Milan, Warsaw, Vienna, Lyon, Brussels] and explore these options in order.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Porto is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Vienna, Lyon, Brussels] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Milan is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Vienna, Lyon, Brussels] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 6 - 7).\n     |- The departure day of Vienna is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Porto to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Vienna is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Lyon, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Porto to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Milan is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Warsaw, Vienna, Lyon, Brussels] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Vienna is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Milan, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Warsaw, Lyon, Brussels] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Warsaw is Day 4. The arrival day of Tallinn is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Vienna, Lyon, Brussels] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 7).\n   |- The departure day of Porto is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Porto to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 7).\n   |- The departure day of Milan is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 6 - 7).\n   |- The departure day of Vienna is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vienna to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Warsaw to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Vienna is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Warsaw, Lyon, Brussels] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vienna to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vienna to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 6 - 7).\n |- The departure day of Lyon is Day 3. The arrival day of Tallinn is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Warsaw, Vienna, Brussels] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Porto is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Porto].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Vienna, Brussels] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Porto to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 6 - 7).\n     |- The departure day of Milan is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Porto to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Porto to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 6 - 7).\n     |- The departure day of Vienna is Day 7. The arrival day of Tallinn is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Porto to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Vienna is Day 5. The arrival day of Tallinn is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Warsaw, Brussels] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Lyon to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 6 - 7).\n   |- The departure day of Brussels is Day 6. The arrival day of Tallinn is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Brussels to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Helsinki (Day 14 - 17).\n     |- The departure day of Tallinn is Day 7. The arrival day of Helsinki is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Brussels, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Warsaw, Vienna] and explore these options in order.\n       |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Tallinn to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 14 - 17).\n       |- The departure day of Warsaw is Day 10. The arrival day of Helsinki is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Brussels, Tallinn, Warsaw].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Vienna] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Warsaw to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 14 - 17).\n         |- The departure day of Porto is Day 12. The arrival day of Helsinki is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lyon, Brussels, Tallinn, Warsaw, Porto].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Vienna] and explore these options in order.\n           |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Porto to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Helsinki (Day 14 - 17).\n           |- The departure day of Milan is Day 14. The arrival day of Helsinki is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Brussels, Tallinn, Warsaw, Porto, Milan].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Milan to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 19 - 20).\n             |- The departure day of Helsinki is Day 17. The arrival day of Bucharest is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Lyon, Brussels, Tallinn, Warsaw, Porto, Milan, Helsinki].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Helsinki to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 19 - 20).\n               |- The departure day of Vienna is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Lyon, Brussels, Tallinn, Warsaw, Porto, Milan, Helsinki, Vienna].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n                 |- Try arranging to visit Bucharest from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Vienna to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Lyon, Brussels, Tallinn, Warsaw, Porto, Milan, Helsinki, Vienna, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Brussels.\n**Day 3-6:** Visit Brussels for 4 days.\n**Day 6:** Fly from Brussels to Tallinn.\n**Day 6-7:** Visit Tallinn for 2 days.\n**Day 7:** Fly from Tallinn to Warsaw.\n**Day 7-10:** Visit Warsaw for 4 days.\n**Day 10:** Fly from Warsaw to Porto.\n**Day 10-12:** Visit Porto for 3 days.\n**Day 12:** Fly from Porto to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Helsinki.\n**Day 14-17:** Visit Helsinki for 4 days.\n**Day 17:** Fly from Helsinki to Vienna.\n**Day 17-19:** Visit Vienna for 3 days.\n**Day 19:** Fly from Vienna to Bucharest.\n**Day 19-20:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Lyon**Valencia**Porto**Manchester**Madrid**Florence**Munich**Tallinn",
    "ground_truth_durations": "5**3**2**5**3**2**4**2**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Munich"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Manchester",
        "Madrid"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Lyon",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to visit relatives in Tallinn between day 19 and day 22. You would like to visit Porto for 5 days. You are going to attend a wedding in Porto between day 8 and day 12. You plan to stay in Lyon for 3 days. You want to meet a friend in Lyon between day 5 and day 7. You want to spend 4 days in Florence. You would like to visit Valencia for 2 days. You plan to stay in Madrid for 2 days. You want to spend 5 days in Bucharest. You plan to stay in Munich for 2 days. You have to attend a workshop in Munich between day 18 and day 19. You plan to stay in Manchester for 3 days.\n\nHere are the cities that have direct flights:\nManchester and Munich, Bucharest and Manchester, Lyon and Madrid, Porto and Manchester, from Florence to Munich, Bucharest and Valencia, Porto and Madrid, Madrid and Florence, Porto and Munich, Bucharest and Munich, Valencia and Porto, Valencia and Munich, Valencia and Madrid, Bucharest and Lyon, Lyon and Porto, Madrid and Munich, Lyon and Valencia, Manchester and Madrid, Munich and Tallinn, Bucharest and Madrid, Lyon and Munich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Tallinn. You plan to visit relatives in Tallinn between day 19 and day 22. You would like to visit Porto for 5 days. You are going to attend a wedding in Porto between day 8 and day 12. You plan to stay in Lyon for 3 days. You want to meet a friend in Lyon between day 5 and day 7. You want to spend 4 days in Florence. You would like to visit Valencia for 2 days. You plan to stay in Madrid for 2 days. You want to spend 5 days in Bucharest. You plan to stay in Munich for 2 days. You have to attend a workshop in Munich between day 18 and day 19. You plan to stay in Manchester for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Munich, from Bucharest to Manchester, from Lyon to Madrid, from Porto to Manchester, from Florence to Munich, from Bucharest to Valencia, from Porto to Madrid, from Madrid to Florence, from Porto to Munich, from Bucharest to Munich, from Valencia to Porto, from Valencia to Munich, from Valencia to Madrid, from Bucharest to Lyon, from Lyon to Porto, from Madrid to Munich, from Lyon to Valencia, from Manchester to Madrid, from Munich to Tallinn, from Bucharest to Madrid, from Lyon to Munich.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Lyon.\n**Day 5-7:** Visit Lyon for 3 days.\n**Day 7:** Fly from Lyon to Valencia.\n**Day 7-8:** Visit Valencia for 2 days.\n**Day 8:** Fly from Valencia to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Manchester.\n**Day 12-14:** Visit Manchester for 3 days.\n**Day 14:** Fly from Manchester to Madrid.\n**Day 14-15:** Visit Madrid for 2 days.\n**Day 15:** Fly from Madrid to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Munich.\n**Day 18-19:** Visit Munich for 2 days.\n**Day 19:** Fly from Munich to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1354",
    "estimated_output_tokens": 4690,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Florence, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Manchester, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 5 - 7.\n* City: Porto, Fixed Schedule: Day 8 - 12.\n* City: Munich, Fixed Schedule: Day 18 - 19.\n* City: Tallinn, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Valencia, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Valencia, Madrid, Bucharest, Manchester] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 7).\n |- The departure day of Florence is Day 4. The arrival day of Lyon is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Madrid, Bucharest, Manchester] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 7).\n |- The departure day of Valencia is Day 2. The arrival day of Lyon is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Madrid, Bucharest, Manchester] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 5 - 7).\n   |- The departure day of Madrid is Day 3. The arrival day of Lyon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Valencia, Madrid].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Bucharest, Manchester] and explore these options in order.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Madrid to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 7).\n     |- The departure day of Florence is Day 6. The arrival day of Lyon is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Madrid to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Madrid to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Valencia to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 7).\n |- The departure day of Madrid is Day 2. The arrival day of Lyon is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Valencia, Bucharest, Manchester] and explore these options in order.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lyon (Day 5 - 7).\n   |- The departure day of Florence is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 7).\n |- The departure day of Bucharest is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n   |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Bucharest to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 8 - 12).\n   |- The departure day of Lyon is Day 7. The arrival day of Porto is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Bucharest, Lyon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Valencia, Madrid, Manchester] and explore these options in order.\n     |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lyon to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lyon to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 8 - 12).\n     |- The departure day of Valencia is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Lyon, Valencia].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Valencia to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 18 - 19).\n       |- The departure day of Porto is Day 12. The arrival day of Munich is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Lyon, Valencia, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Madrid, Manchester] and explore these options in order.\n         |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Porto to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Munich (Day 18 - 19).\n         |- The departure day of Madrid is Day 13. The arrival day of Munich is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Bucharest, Lyon, Valencia, Porto, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Manchester] and explore these options in order.\n           |- Try arranging to visit Florence from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Madrid to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Munich (Day 18 - 19).\n           |- The departure day of Florence is Day 16. The arrival day of Munich is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Bucharest, Lyon, Valencia, Porto, Madrid, Florence].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Florence to Manchester.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Madrid to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Manchester from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Porto to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Munich (Day 18 - 19).\n         |- The departure day of Manchester is Day 14. The arrival day of Munich is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Lyon, Valencia, Porto, Manchester].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Manchester to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Manchester to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Munich (Day 18 - 19).\n           |- The departure day of Madrid is Day 15. The arrival day of Munich is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Bucharest, Lyon, Valencia, Porto, Manchester, Madrid].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Madrid to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Munich (Day 18 - 19).\n             |- The departure day of Florence is Day 18. The arrival day of Munich is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Bucharest, Lyon, Valencia, Porto, Manchester, Madrid, Florence].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Florence to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Tallinn (Day 19 - 22).\n               |- The departure day of Munich is Day 19. The arrival day of Tallinn is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Bucharest, Lyon, Valencia, Porto, Manchester, Madrid, Florence, Munich].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Tallinn.\n                 |- Try arranging to visit Tallinn from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Munich to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Bucharest, Lyon, Valencia, Porto, Manchester, Madrid, Florence, Munich, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Bucharest and visit Bucharest for 5 days.\n**Day 5:** Fly from Bucharest to Lyon.\n**Day 5-7:** Visit Lyon for 3 days.\n**Day 7:** Fly from Lyon to Valencia.\n**Day 7-8:** Visit Valencia for 2 days.\n**Day 8:** Fly from Valencia to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Manchester.\n**Day 12-14:** Visit Manchester for 3 days.\n**Day 14:** Fly from Manchester to Madrid.\n**Day 14-15:** Visit Madrid for 2 days.\n**Day 15:** Fly from Madrid to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Munich.\n**Day 18-19:** Visit Munich for 2 days.\n**Day 19:** Fly from Munich to Tallinn.\n**Day 19-22:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Madrid**Florence**London**Stuttgart**Valencia**Geneva**Oslo**Split",
    "ground_truth_durations": "5**2**5**5**3**4**4**3**3",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Split"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Madrid",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You want to meet a friend in Split between day 24 and day 26. You want to spend 2 days in Madrid. You plan to stay in London for 5 days. You want to spend 4 days in Geneva. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 6 and day 10. You plan to stay in Valencia for 4 days. You plan to visit relatives in Valencia between day 16 and day 19. You want to spend 3 days in Stuttgart. You want to spend 3 days in Oslo. During day 22 and day 24, you have to attend a conference in Oslo. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Split, Madrid and Split, London and Split, Stuttgart and Split, Geneva and Oslo, Florence and London, London and Stuttgart, London and Valencia, Madrid and Florence, Valencia and Geneva, London and Geneva, Venice and Madrid, Venice and Stuttgart, Venice and London, Stuttgart and Valencia, Venice and Oslo, London and Oslo, Madrid and Geneva, Geneva and Split, Madrid and Valencia, Madrid and London, Madrid and Oslo.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You want to meet a friend in Split between day 24 and day 26. You want to spend 2 days in Madrid. You plan to stay in London for 5 days. You want to spend 4 days in Geneva. You plan to stay in Florence for 5 days. You have to attend a workshop in Florence between day 6 and day 10. You plan to stay in Valencia for 4 days. You plan to visit relatives in Valencia between day 16 and day 19. You want to spend 3 days in Stuttgart. You want to spend 3 days in Oslo. During day 22 and day 24, you have to attend a conference in Oslo. You would like to visit Venice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Split, from Madrid to Split, from London to Split, from Stuttgart to Split, from Geneva to Oslo, from Florence to London, from London to Stuttgart, from London to Valencia, from Madrid to Florence, from Valencia to Geneva, from London to Geneva, from Venice to Madrid, from Venice to Stuttgart, from Venice to London, from Stuttgart to Valencia, from Venice to Oslo, from London to Oslo, from Madrid to Geneva, from Geneva to Split, from Madrid to Valencia, from Madrid to London, from Madrid to Oslo.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to London.\n**Day 10-14:** Visit London for 5 days.\n**Day 14:** Fly from London to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.\n**Day 19:** Fly from Valencia to Geneva.\n**Day 19-22:** Visit Geneva for 4 days.\n**Day 22:** Fly from Geneva to Oslo.\n**Day 22-24:** Visit Oslo for 3 days.\n**Day 24:** Fly from Oslo to Split.\n**Day 24-26:** Visit Split for 3 days.",
    "id": "trip_planning_example_1355",
    "estimated_output_tokens": 4554,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Madrid, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Stuttgart, Duration: 3 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Venice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 6 - 10.\n* City: Valencia, Fixed Schedule: Day 16 - 19.\n* City: Oslo, Fixed Schedule: Day 22 - 24.\n* City: Split, Fixed Schedule: Day 24 - 26.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, London, Geneva, Stuttgart, Venice] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 6 - 10).\n |- The departure day of Madrid is Day 2. The arrival day of Florence is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Geneva, Stuttgart, Venice] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 6 - 10).\n   |- The departure day of London is Day 6. The arrival day of Florence is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from London to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 6 - 10).\n   |- The departure day of Geneva is Day 5. The arrival day of Florence is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Madrid, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Stuttgart, Venice] and explore these options in order.\n     |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Geneva to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Geneva to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Geneva to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 6 - 10).\n |- The departure day of London is Day 5. The arrival day of Florence is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Geneva, Stuttgart, Venice] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from London to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 6 - 10).\n   |- The departure day of Geneva is Day 8. The arrival day of Florence is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from London to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 6 - 10).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Florence is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from London to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 6 - 10).\n |- The departure day of Geneva is Day 4. The arrival day of Florence is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, London, Stuttgart, Venice] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 6 - 10).\n |- The departure day of Stuttgart is Day 3. The arrival day of Florence is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, London, Geneva, Venice] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 6 - 10).\n |- The departure day of Venice is Day 5. The arrival day of Florence is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, London, Geneva, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 6 - 10).\n   |- The departure day of Madrid is Day 6. The arrival day of Florence is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Venice, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 16 - 19).\n     |- The departure day of Florence is Day 10. The arrival day of Valencia is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Madrid, Florence].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Geneva, Stuttgart] and explore these options in order.\n       |- Try arranging to visit London from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Florence to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 16 - 19).\n       |- The departure day of London is Day 14. The arrival day of Valencia is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Venice, Madrid, Florence, London].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from London to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 16 - 19).\n         |- The departure day of Geneva is Day 17. The arrival day of Valencia is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from London to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 16 - 19).\n         |- The departure day of Stuttgart is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Venice, Madrid, Florence, London, Stuttgart].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Stuttgart to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Oslo (Day 22 - 24).\n           |- The departure day of Valencia is Day 19. The arrival day of Oslo is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Venice, Madrid, Florence, London, Stuttgart, Valencia].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Valencia to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Oslo (Day 22 - 24).\n             |- The departure day of Geneva is Day 22. The arrival day of Oslo is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Venice, Madrid, Florence, London, Stuttgart, Valencia, Geneva].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Oslo.\n               |- Try arranging to visit Oslo from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Geneva to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Split (Day 24 - 26).\n               |- The departure day of Oslo is Day 24. The arrival day of Split is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Venice, Madrid, Florence, London, Stuttgart, Valencia, Geneva, Oslo].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Split.\n                 |- Try arranging to visit Split from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Oslo to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Venice, Madrid, Florence, London, Stuttgart, Valencia, Geneva, Oslo, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to London.\n**Day 10-14:** Visit London for 5 days.\n**Day 14:** Fly from London to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Valencia.\n**Day 16-19:** Visit Valencia for 4 days.\n**Day 19:** Fly from Valencia to Geneva.\n**Day 19-22:** Visit Geneva for 4 days.\n**Day 22:** Fly from Geneva to Oslo.\n**Day 22-24:** Visit Oslo for 3 days.\n**Day 24:** Fly from Oslo to Split.\n**Day 24-26:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Paris**Vienna**Reykjavik**Brussels**Vilnius**Istanbul**London**Mykonos",
    "ground_truth_durations": "4**4**3**2**3**4**2**3**3",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Vienna",
        "London"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You plan to stay in Amsterdam for 4 days. From day 1 to day 4, there is a annual show you want to attend in Amsterdam. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 9 and day 10. You would like to visit Vilnius for 4 days. You would like to visit London for 3 days. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 4 and day 7. You plan to stay in Brussels for 3 days. You want to spend 3 days in Vienna. You want to meet a friend in Vienna between day 7 and day 9. You plan to stay in Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nVienna and Brussels, Vienna and Reykjavik, Brussels and London, Paris and Istanbul, Vienna and Vilnius, Vilnius and Istanbul, Paris and London, Amsterdam and Reykjavik, London and Mykonos, Vienna and Mykonos, Vienna and Istanbul, Istanbul and London, Amsterdam and Vilnius, Paris and Reykjavik, Amsterdam and Paris, Paris and Vienna, Amsterdam and Vienna, Reykjavik and Brussels, Amsterdam and London, Paris and Vilnius, Brussels and Istanbul, Reykjavik and London, Brussels and Vilnius, Amsterdam and Istanbul, Vienna and London, Paris and Brussels, Amsterdam and Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You plan to stay in Amsterdam for 4 days. From day 1 to day 4, there is a annual show you want to attend in Amsterdam. You would like to visit Reykjavik for 2 days. You are going to attend a wedding in Reykjavik between day 9 and day 10. You would like to visit Vilnius for 4 days. You would like to visit London for 3 days. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 4 and day 7. You plan to stay in Brussels for 3 days. You want to spend 3 days in Vienna. You want to meet a friend in Vienna between day 7 and day 9. You plan to stay in Istanbul for 2 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Brussels, from Vienna to Reykjavik, from Brussels to London, from Paris to Istanbul, from Vienna to Vilnius, from Vilnius to Istanbul, from Paris to London, from Amsterdam to Reykjavik, from London to Mykonos, from Vienna to Mykonos, from Vienna to Istanbul, from Istanbul to London, from Amsterdam to Vilnius, from Paris to Reykjavik, from Amsterdam to Paris, from Paris to Vienna, from Amsterdam to Vienna, from Reykjavik to Brussels, from Amsterdam to London, from Paris to Vilnius, from Brussels to Istanbul, from Reykjavik to London, from Brussels to Vilnius, from Amsterdam to Istanbul, from Vienna to London, from Paris to Brussels, from Amsterdam to Mykonos.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n**Day 15:** Fly from Vilnius to Istanbul.\n**Day 15-16:** Visit Istanbul for 2 days.\n**Day 16:** Fly from Istanbul to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1356",
    "estimated_output_tokens": 3147,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Vilnius, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Brussels, Duration: 3 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Istanbul, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 7.\n* City: Vienna, Fixed Schedule: Day 7 - 9.\n* City: Reykjavik, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 7).\n |- The departure day of Amsterdam is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 7 - 9).\n   |- The departure day of Paris is Day 7. The arrival day of Vienna is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 10).\n     |- The departure day of Vienna is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Amsterdam, Paris, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Paris, Vienna, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius, London, Brussels, Istanbul] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, London].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius, Brussels, Istanbul] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from London to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, London, Mykonos].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Brussels, Istanbul] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Mykonos to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Brussels from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Mykonos to Brussels.\n             |- No. Drop this branch.\n             |- Try arranging to visit Istanbul from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Mykonos to Istanbul.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from London to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Brussels from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from London to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from London to Istanbul.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, Brussels].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Vilnius, London, Istanbul] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Brussels to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Brussels to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, Brussels, Vilnius].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, London, Istanbul] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Vilnius to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Vilnius to London.\n             |- No. Drop this branch.\n             |- Try arranging to visit Istanbul from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Vilnius to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, Brussels, Vilnius, Istanbul].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, London] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Istanbul to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit London from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Istanbul to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, Brussels, Vilnius, Istanbul, London].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from London to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Amsterdam, Paris, Vienna, Reykjavik, Brussels, Vilnius, Istanbul, London, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Paris.\n**Day 4-7:** Visit Paris for 4 days.\n**Day 7:** Fly from Paris to Vienna.\n**Day 7-9:** Visit Vienna for 3 days.\n**Day 9:** Fly from Vienna to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Vilnius.\n**Day 12-15:** Visit Vilnius for 4 days.\n**Day 15:** Fly from Vilnius to Istanbul.\n**Day 15-16:** Visit Istanbul for 2 days.\n**Day 16:** Fly from Istanbul to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Lyon**Rome**Istanbul**Porto**Valencia**Zurich**Tallinn",
    "ground_truth_durations": "4**5**5**5**4**4**5**2**5",
    "num_cities": 9,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Salzburg",
        "Istanbul"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Valencia",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 22 to day 26, there is a annual show you want to attend in Valencia. You want to spend 4 days in Istanbul. You want to meet a friend in Istanbul between day 16 and day 19. You plan to stay in Lyon for 5 days. You would like to visit Tallinn for 5 days. You want to spend 4 days in Salzburg. You want to spend 2 days in Zurich. You want to spend 4 days in Porto. You plan to stay in Rome for 5 days. During day 12 and day 16, you have to attend a conference in Rome. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Zurich, Rome and Istanbul, Porto and Zurich, Porto and Valencia, Frankfurt and Porto, from Istanbul to Tallinn, Rome and Valencia, Zurich and Tallinn, Frankfurt and Tallinn, Lyon and Rome, Lyon and Valencia, Lyon and Istanbul, Istanbul and Valencia, Rome and Zurich, Salzburg and Frankfurt, Istanbul and Zurich, Frankfurt and Lyon, Istanbul and Porto, Frankfurt and Istanbul, Frankfurt and Valencia, Salzburg and Istanbul, Lyon and Porto, Frankfurt and Rome, Valencia and Zurich.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 5 days. From day 22 to day 26, there is a annual show you want to attend in Valencia. You want to spend 4 days in Istanbul. You want to meet a friend in Istanbul between day 16 and day 19. You plan to stay in Lyon for 5 days. You would like to visit Tallinn for 5 days. You want to spend 4 days in Salzburg. You want to spend 2 days in Zurich. You want to spend 4 days in Porto. You plan to stay in Rome for 5 days. During day 12 and day 16, you have to attend a conference in Rome. You plan to stay in Frankfurt for 5 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Zurich, from Rome to Istanbul, from Porto to Zurich, from Porto to Valencia, from Frankfurt to Porto, from Istanbul to Tallinn, from Rome to Valencia, from Zurich to Tallinn, from Frankfurt to Tallinn, from Lyon to Rome, from Lyon to Valencia, from Lyon to Istanbul, from Istanbul to Valencia, from Rome to Zurich, from Salzburg to Frankfurt, from Istanbul to Zurich, from Frankfurt to Lyon, from Istanbul to Porto, from Frankfurt to Istanbul, from Frankfurt to Valencia, from Salzburg to Istanbul, from Lyon to Porto, from Frankfurt to Rome, from Valencia to Zurich.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 31 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Lyon.\n**Day 8-12:** Visit Lyon for 5 days.\n**Day 12:** Fly from Lyon to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Istanbul.\n**Day 16-19:** Visit Istanbul for 4 days.\n**Day 19:** Fly from Istanbul to Porto.\n**Day 19-22:** Visit Porto for 4 days.\n**Day 22:** Fly from Porto to Valencia.\n**Day 22-26:** Visit Valencia for 5 days.\n**Day 26:** Fly from Valencia to Zurich.\n**Day 26-27:** Visit Zurich for 2 days.\n**Day 27:** Fly from Zurich to Tallinn.\n**Day 27-31:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1357",
    "estimated_output_tokens": 4557,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Lyon, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Frankfurt, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 12 - 16.\n* City: Istanbul, Fixed Schedule: Day 16 - 19.\n* City: Valencia, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n* City: Porto, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Salzburg, Zurich, Porto, Frankfurt] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Lyon is Day 5. The arrival day of Rome is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Salzburg, Zurich, Porto, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lyon to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 12 - 16).\n   |- The departure day of Porto is Day 8. The arrival day of Rome is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Porto].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Salzburg, Zurich, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Porto to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Porto to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Porto to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 12 - 16).\n     |- The departure day of Zurich is Day 9. The arrival day of Rome is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Porto, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Salzburg, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 12 - 16).\n       |- The departure day of Tallinn is Day 13. The arrival day of Rome is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Zurich to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Porto to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Tallinn is Day 5. The arrival day of Rome is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Salzburg, Zurich, Porto, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Salzburg is Day 4. The arrival day of Rome is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Zurich, Porto, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Salzburg to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Salzburg to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 12 - 16).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Rome is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Zurich, Porto] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 12 - 16).\n     |- The departure day of Lyon is Day 12. The arrival day of Rome is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Frankfurt, Lyon].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Lyon to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 16 - 19).\n       |- The departure day of Rome is Day 16. The arrival day of Istanbul is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Salzburg, Frankfurt, Lyon, Rome].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Rome to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Valencia (Day 22 - 26).\n         |- The departure day of Istanbul is Day 19. The arrival day of Valencia is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Porto] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Istanbul to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Valencia (Day 22 - 26).\n           |- The departure day of Tallinn is Day 23. The arrival day of Valencia is Day 22. Day 23 is later than (>) Day 22. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Zurich from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Istanbul to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Valencia (Day 22 - 26).\n           |- The departure day of Zurich is Day 20. The arrival day of Valencia is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul, Zurich].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Zurich to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Valencia (Day 22 - 26).\n             |- The departure day of Tallinn is Day 24. The arrival day of Valencia is Day 22. Day 24 is later than (>) Day 22. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Porto from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Zurich to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Istanbul to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Valencia (Day 22 - 26).\n           |- The departure day of Porto is Day 22. The arrival day of Valencia is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul, Porto].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Porto to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul, Porto, Valencia].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n               |- Check for direct flight from Valencia to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Zurich from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n               |- Check for direct flight from Valencia to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul, Porto, Valencia, Zurich].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                 |- Check for direct flight from Zurich to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Salzburg, Frankfurt, Lyon, Rome, Istanbul, Porto, Valencia, Zurich, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Lyon.\n**Day 8-12:** Visit Lyon for 5 days.\n**Day 12:** Fly from Lyon to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Istanbul.\n**Day 16-19:** Visit Istanbul for 4 days.\n**Day 19:** Fly from Istanbul to Porto.\n**Day 19-22:** Visit Porto for 4 days.\n**Day 22:** Fly from Porto to Valencia.\n**Day 22-26:** Visit Valencia for 5 days.\n**Day 26:** Fly from Valencia to Zurich.\n**Day 26-27:** Visit Zurich for 2 days.\n**Day 27:** Fly from Zurich to Tallinn.\n**Day 27-31:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Barcelona**Nice**Edinburgh**Rome**Lisbon**Manchester**Split**Vilnius",
    "ground_truth_durations": "3**3**2**5**4**3**4**2**5",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Edinburgh",
        "Rome"
      ],
      [
        "Barcelona",
        "Rome"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Nice",
        "Rome"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Nice",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Edinburgh. You plan to stay in Vilnius for 5 days. You plan to stay in Barcelona for 3 days. You would like to meet your friends at Barcelona between day 3 and day 5 to tour together. You want to spend 4 days in Manchester. You would like to visit Split for 2 days. You would like to visit Lisbon for 3 days. You want to spend 3 days in Tallinn. You plan to stay in Nice for 2 days. You are going to attend a wedding in Nice between day 5 and day 6. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Nice, Edinburgh and Rome, Barcelona and Rome, Rome and Manchester, Tallinn and Barcelona, Barcelona and Edinburgh, Nice and Manchester, Barcelona and Manchester, from Manchester to Split, Barcelona and Lisbon, Lisbon and Manchester, Nice and Rome, Barcelona and Split, Rome and Split, from Tallinn to Vilnius, Split and Vilnius, Rome and Lisbon, Nice and Lisbon, Nice and Edinburgh.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Edinburgh. You plan to stay in Vilnius for 5 days. You plan to stay in Barcelona for 3 days. You would like to meet your friends at Barcelona between day 3 and day 5 to tour together. You want to spend 4 days in Manchester. You would like to visit Split for 2 days. You would like to visit Lisbon for 3 days. You want to spend 3 days in Tallinn. You plan to stay in Nice for 2 days. You are going to attend a wedding in Nice between day 5 and day 6. You plan to stay in Rome for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Nice, from Edinburgh to Rome, from Barcelona to Rome, from Rome to Manchester, from Tallinn to Barcelona, from Barcelona to Edinburgh, from Nice to Manchester, from Barcelona to Manchester, from Manchester to Split, from Barcelona to Lisbon, from Lisbon to Manchester, from Nice to Rome, from Barcelona to Split, from Rome to Split, from Tallinn to Vilnius, from Split to Vilnius, from Rome to Lisbon, from Nice to Lisbon, from Nice to Edinburgh.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Barcelona.\n**Day 3-5:** Visit Barcelona for 3 days.\n**Day 5:** Fly from Barcelona to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Edinburgh.\n**Day 6-10:** Visit Edinburgh for 5 days.\n**Day 10:** Fly from Edinburgh to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Lisbon.\n**Day 13-15:** Visit Lisbon for 3 days.\n**Day 15:** Fly from Lisbon to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.\n**Day 18:** Fly from Manchester to Split.\n**Day 18-19:** Visit Split for 2 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-23:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1358",
    "estimated_output_tokens": 4868,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Manchester, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Rome, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 3 - 5.\n* City: Nice, Fixed Schedule: Day 5 - 6.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Split, Duration: 2 days.\n* City: Lisbon, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Rome, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Manchester, Split, Lisbon, Tallinn, Rome] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Edinburgh is Day 5. The arrival day of Barcelona is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Vilnius is Day 5. The arrival day of Barcelona is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Manchester is Day 4. The arrival day of Barcelona is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Split is Day 2. The arrival day of Barcelona is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Manchester, Lisbon, Tallinn, Rome] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 3 - 5).\n   |- The departure day of Vilnius is Day 6. The arrival day of Barcelona is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Lisbon is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lisbon to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 3 - 5).\n |- The departure day of Tallinn is Day 3. The arrival day of Barcelona is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Tallinn to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 5 - 6).\n   |- The departure day of Barcelona is Day 5. The arrival day of Nice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Tallinn, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Barcelona to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: None.\n     |- No following fixed schedules. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Tallinn, Barcelona, Nice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Vilnius, Manchester, Split, Lisbon, Rome] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Nice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Barcelona, Nice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Split, Lisbon, Rome] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Edinburgh to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Edinburgh to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Split, Lisbon] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Rome to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Rome to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Manchester].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Split, Lisbon] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Manchester to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Manchester to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Manchester, Split].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Split to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Manchester, Split, Vilnius].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lisbon] and explore these options in order.\n                 |- Try arranging to visit Lisbon from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Vilnius to Lisbon.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Lisbon from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Split to Lisbon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lisbon from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Manchester to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Rome to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Split].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Lisbon] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Split to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Split, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Lisbon] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Vilnius to Manchester.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lisbon from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Vilnius to Lisbon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Manchester from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Split to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lisbon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Split to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Rome to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Manchester, Split] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Lisbon to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Lisbon to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Lisbon, Manchester].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Split] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Manchester to Vilnius.\n               |- No. Drop this branch.\n               |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Manchester to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Lisbon, Manchester, Split].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Split to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Tallinn, Barcelona, Nice, Edinburgh, Rome, Lisbon, Manchester, Split, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Barcelona.\n**Day 3-5:** Visit Barcelona for 3 days.\n**Day 5:** Fly from Barcelona to Nice.\n**Day 5-6:** Visit Nice for 2 days.\n**Day 6:** Fly from Nice to Edinburgh.\n**Day 6-10:** Visit Edinburgh for 5 days.\n**Day 10:** Fly from Edinburgh to Rome.\n**Day 10-13:** Visit Rome for 4 days.\n**Day 13:** Fly from Rome to Lisbon.\n**Day 13-15:** Visit Lisbon for 3 days.\n**Day 15:** Fly from Lisbon to Manchester.\n**Day 15-18:** Visit Manchester for 4 days.\n**Day 18:** Fly from Manchester to Split.\n**Day 18-19:** Visit Split for 2 days.\n**Day 19:** Fly from Split to Vilnius.\n**Day 19-23:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Split**Stuttgart**Berlin**Rome**Bucharest**Amsterdam**Athens**Santorini",
    "ground_truth_durations": "5**3**5**2**5**3**3**5**4",
    "num_cities": 9,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Split",
        "Rome"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Split",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 3 days. During day 18 and day 20, you have to attend a conference in Amsterdam. You plan to stay in Split for 3 days. You want to spend 5 days in Prague. You would like to visit Rome for 5 days. You plan to stay in Bucharest for 3 days. From day 16 to day 18, there is a annual show you want to attend in Bucharest. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 11 and day 12. You plan to stay in Santorini for 4 days. You want to spend 5 days in Athens. You have to attend a workshop in Athens between day 20 and day 24. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nStuttgart and Amsterdam, Stuttgart and Athens, Rome and Amsterdam, Bucharest and Amsterdam, Prague and Rome, Berlin and Rome, Split and Athens, Stuttgart and Rome, Stuttgart and Berlin, Prague and Amsterdam, Rome and Santorini, Amsterdam and Athens, Prague and Athens, Rome and Athens, Amsterdam and Santorini, Prague and Split, Split and Berlin, Split and Rome, Berlin and Amsterdam, Prague and Bucharest, Rome and Bucharest, Bucharest and Santorini, Split and Amsterdam, Bucharest and Athens, Berlin and Athens, Athens and Santorini, Split and Stuttgart.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 3 days. During day 18 and day 20, you have to attend a conference in Amsterdam. You plan to stay in Split for 3 days. You want to spend 5 days in Prague. You would like to visit Rome for 5 days. You plan to stay in Bucharest for 3 days. From day 16 to day 18, there is a annual show you want to attend in Bucharest. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 11 and day 12. You plan to stay in Santorini for 4 days. You want to spend 5 days in Athens. You have to attend a workshop in Athens between day 20 and day 24. You plan to stay in Stuttgart for 5 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Amsterdam, from Stuttgart to Athens, from Rome to Amsterdam, from Bucharest to Amsterdam, from Prague to Rome, from Berlin to Rome, from Split to Athens, from Stuttgart to Rome, from Stuttgart to Berlin, from Prague to Amsterdam, from Rome to Santorini, from Amsterdam to Athens, from Prague to Athens, from Rome to Athens, from Amsterdam to Santorini, from Prague to Split, from Split to Berlin, from Split to Rome, from Berlin to Amsterdam, from Prague to Bucharest, from Rome to Bucharest, from Bucharest to Santorini, from Split to Amsterdam, from Bucharest to Athens, from Berlin to Athens, from Athens to Santorini, from Split to Stuttgart.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 27 days:\n\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Berlin.\n**Day 11-12:** Visit Berlin for 2 days.\n**Day 12:** Fly from Berlin to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Amsterdam.\n**Day 18-20:** Visit Amsterdam for 3 days.\n**Day 20:** Fly from Amsterdam to Athens.\n**Day 20-24:** Visit Athens for 5 days.\n**Day 24:** Fly from Athens to Santorini.\n**Day 24-27:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1359",
    "estimated_output_tokens": 4029,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Split, Duration: 3 days.\n* City: Prague, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Santorini, Duration: 4 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Stuttgart, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 11 - 12.\n* City: Bucharest, Fixed Schedule: Day 16 - 18.\n* City: Amsterdam, Fixed Schedule: Day 18 - 20.\n* City: Athens, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Prague, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Prague, Rome, Santorini, Stuttgart] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 11 - 12).\n |- The departure day of Split is Day 3. The arrival day of Berlin is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Rome, Santorini, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 11 - 12).\n   |- The departure day of Rome is Day 7. The arrival day of Berlin is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Santorini, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Santorini is Day 10. The arrival day of Berlin is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Rome, Santorini].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Santorini to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Santorini to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 11 - 12).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Berlin is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Rome, Santorini] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Rome is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Split, Stuttgart, Rome].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Rome to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stuttgart to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 11 - 12).\n |- The departure day of Prague is Day 5. The arrival day of Berlin is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Rome, Santorini, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Prague to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 11 - 12).\n   |- The departure day of Split is Day 7. The arrival day of Berlin is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Prague, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Santorini, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Split to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Rome is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Prague, Split, Rome].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Rome to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Split to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Split to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Stuttgart is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Prague, Split, Stuttgart].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stuttgart to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 16 - 18).\n       |- The departure day of Berlin is Day 12. The arrival day of Bucharest is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Prague, Split, Stuttgart, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Santorini] and explore these options in order.\n         |- Try arranging to visit Rome from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 16 - 18).\n         |- The departure day of Rome is Day 16. The arrival day of Bucharest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Prague, Split, Stuttgart, Berlin, Rome].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Rome to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Amsterdam (Day 18 - 20).\n           |- The departure day of Bucharest is Day 18. The arrival day of Amsterdam is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Prague, Split, Stuttgart, Berlin, Rome, Bucharest].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Amsterdam.\n             |- Try arranging to visit Amsterdam from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Bucharest to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Athens (Day 20 - 24).\n             |- The departure day of Amsterdam is Day 20. The arrival day of Athens is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Prague, Split, Stuttgart, Berlin, Rome, Bucharest, Amsterdam].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Athens.\n               |- Try arranging to visit Athens from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Amsterdam to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Prague, Split, Stuttgart, Berlin, Rome, Bucharest, Amsterdam, Athens].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                 |- Check for direct flight from Athens to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Prague, Split, Stuttgart, Berlin, Rome, Bucharest, Amsterdam, Athens, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Split.\n**Day 5-7:** Visit Split for 3 days.\n**Day 7:** Fly from Split to Stuttgart.\n**Day 7-11:** Visit Stuttgart for 5 days.\n**Day 11:** Fly from Stuttgart to Berlin.\n**Day 11-12:** Visit Berlin for 2 days.\n**Day 12:** Fly from Berlin to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Amsterdam.\n**Day 18-20:** Visit Amsterdam for 3 days.\n**Day 20:** Fly from Amsterdam to Athens.\n**Day 20-24:** Visit Athens for 5 days.\n**Day 24:** Fly from Athens to Santorini.\n**Day 24-27:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Istanbul**Edinburgh**Geneva**Valencia**Bucharest**Riga**Munich**Split",
    "ground_truth_durations": "4**5**4**4**3**5**3**4**4",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Istanbul",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. You want to spend 5 days in Istanbul. You are going to attend a wedding in Istanbul between day 4 and day 8. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Edinburgh. You would like to meet your friends at Edinburgh between day 8 and day 11 to tour together. You want to spend 4 days in Split. You would like to visit Stuttgart for 4 days. During day 1 and day 4, you have to attend a conference in Stuttgart. You want to spend 4 days in Geneva. You plan to stay in Munich for 4 days. You plan to stay in Valencia for 3 days. You plan to visit relatives in Valencia between day 14 and day 16.\n\nHere are the cities that have direct flights:\nEdinburgh and Geneva, Istanbul and Bucharest, Valencia and Munich, Valencia and Bucharest, Stuttgart and Split, Stuttgart and Istanbul, Stuttgart and Valencia, Geneva and Valencia, Geneva and Munich, Istanbul and Edinburgh, Bucharest and Munich, Istanbul and Riga, Edinburgh and Munich, Geneva and Split, Stuttgart and Edinburgh, Istanbul and Valencia, Munich and Split, Bucharest and Riga, from Riga to Munich, Edinburgh and Riga, Istanbul and Geneva, Istanbul and Munich.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Riga. You want to spend 5 days in Istanbul. You are going to attend a wedding in Istanbul between day 4 and day 8. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Edinburgh. You would like to meet your friends at Edinburgh between day 8 and day 11 to tour together. You want to spend 4 days in Split. You would like to visit Stuttgart for 4 days. During day 1 and day 4, you have to attend a conference in Stuttgart. You want to spend 4 days in Geneva. You plan to stay in Munich for 4 days. You plan to stay in Valencia for 3 days. You plan to visit relatives in Valencia between day 14 and day 16.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Geneva, from Istanbul to Bucharest, from Valencia to Munich, from Valencia to Bucharest, from Stuttgart to Split, from Stuttgart to Istanbul, from Stuttgart to Valencia, from Geneva to Valencia, from Geneva to Munich, from Istanbul to Edinburgh, from Bucharest to Munich, from Istanbul to Riga, from Edinburgh to Munich, from Geneva to Split, from Stuttgart to Edinburgh, from Istanbul to Valencia, from Munich to Split, from Bucharest to Riga, from Riga to Munich, from Edinburgh to Riga, from Istanbul to Geneva, from Istanbul to Munich.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Istanbul.\n**Day 4-8:** Visit Istanbul for 5 days.\n**Day 8:** Fly from Istanbul to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-22:** Visit Riga for 3 days.\n**Day 22:** Fly from Riga to Munich.\n**Day 22-25:** Visit Munich for 4 days.\n**Day 25:** Fly from Munich to Split.\n**Day 25-28:** Visit Split for 4 days.",
    "id": "trip_planning_example_1360",
    "estimated_output_tokens": 2794,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Bucharest, Duration: 5 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Split, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Geneva, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 4 - 8.\n* City: Edinburgh, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Fixed Schedule: Day 14 - 16.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Split, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stuttgart.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 8).\n |- The departure day of Stuttgart is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 8 - 11).\n   |- The departure day of Istanbul is Day 8. The arrival day of Edinburgh is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Istanbul to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 14 - 16).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Valencia is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Istanbul, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest, Split, Geneva, Munich] and explore these options in order.\n       |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 14 - 16).\n       |- The departure day of Riga is Day 13. The arrival day of Valencia is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Stuttgart, Istanbul, Edinburgh, Riga].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Split, Geneva, Munich] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Riga to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Riga to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Riga to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Riga to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 14 - 16).\n         |- The departure day of Munich is Day 16. The arrival day of Valencia is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Edinburgh to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Edinburgh to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 14 - 16).\n       |- The departure day of Geneva is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Geneva to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva, Valencia].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest, Split, Munich] and explore these options in order.\n           |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Valencia to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Valencia to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva, Valencia, Bucharest].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Split, Munich] and explore these options in order.\n             |- Try arranging to visit Riga from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Bucharest to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva, Valencia, Bucharest, Riga].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Munich] and explore these options in order.\n               |- Try arranging to visit Split from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Riga to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Munich from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Riga to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva, Valencia, Bucharest, Riga, Munich].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Munich to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Stuttgart, Istanbul, Edinburgh, Geneva, Valencia, Bucharest, Riga, Munich, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Istanbul.\n**Day 4-8:** Visit Istanbul for 5 days.\n**Day 8:** Fly from Istanbul to Edinburgh.\n**Day 8-11:** Visit Edinburgh for 4 days.\n**Day 11:** Fly from Edinburgh to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Valencia.\n**Day 14-16:** Visit Valencia for 3 days.\n**Day 16:** Fly from Valencia to Bucharest.\n**Day 16-20:** Visit Bucharest for 5 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-22:** Visit Riga for 3 days.\n**Day 22:** Fly from Riga to Munich.\n**Day 22-25:** Visit Munich for 4 days.\n**Day 25:** Fly from Munich to Split.\n**Day 25-28:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Munich**Lyon**Bucharest**Frankfurt**Stuttgart**Split**Milan**Santorini",
    "ground_truth_durations": "5**5**3**4**2**3**2**3**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Split"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Munich",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You would like to meet your friends at Santorini between day 20 and day 21 to tour together. You would like to visit Lyon for 3 days. You plan to stay in Frankfurt for 2 days. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in Venice. You want to spend 3 days in Milan. You want to spend 4 days in Bucharest. During day 11 and day 14, you have to attend a conference in Bucharest. You plan to stay in Split for 2 days. You are going to attend a wedding in Split between day 17 and day 18. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9.\n\nHere are the cities that have direct flights:\nMunich and Split, Venice and Frankfurt, Frankfurt and Stuttgart, Stuttgart and Split, Munich and Lyon, Venice and Munich, Split and Milan, Stuttgart and Milan, Milan and Santorini, Lyon and Bucharest, Frankfurt and Split, Lyon and Split, Munich and Frankfurt, Venice and Stuttgart, Bucharest and Frankfurt, Bucharest and Santorini, Venice and Santorini, Frankfurt and Milan, Munich and Bucharest, Venice and Lyon, Lyon and Frankfurt, Munich and Milan.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You would like to meet your friends at Santorini between day 20 and day 21 to tour together. You would like to visit Lyon for 3 days. You plan to stay in Frankfurt for 2 days. You plan to stay in Stuttgart for 3 days. You want to spend 5 days in Venice. You want to spend 3 days in Milan. You want to spend 4 days in Bucharest. During day 11 and day 14, you have to attend a conference in Bucharest. You plan to stay in Split for 2 days. You are going to attend a wedding in Split between day 17 and day 18. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Munich to Split, from Venice to Frankfurt, from Frankfurt to Stuttgart, from Stuttgart to Split, from Munich to Lyon, from Venice to Munich, from Split to Milan, from Stuttgart to Milan, from Milan to Santorini, from Lyon to Bucharest, from Frankfurt to Split, from Lyon to Split, from Munich to Frankfurt, from Venice to Stuttgart, from Bucharest to Frankfurt, from Bucharest to Santorini, from Venice to Santorini, from Frankfurt to Milan, from Munich to Bucharest, from Venice to Lyon, from Lyon to Frankfurt, from Munich to Milan.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.\n**Day 14:** Fly from Bucharest to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Stuttgart.\n**Day 15-17:** Visit Stuttgart for 3 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-18:** Visit Split for 2 days.\n**Day 18:** Fly from Split to Milan.\n**Day 18-20:** Visit Milan for 3 days.\n**Day 20:** Fly from Milan to Santorini.\n**Day 20-21:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1361",
    "estimated_output_tokens": 4770,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Lyon, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 5 - 9.\n* City: Bucharest, Fixed Schedule: Day 11 - 14.\n* City: Split, Fixed Schedule: Day 17 - 18.\n* City: Santorini, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Frankfurt, Stuttgart, Venice, Milan] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Lyon is Day 3. The arrival day of Munich is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Stuttgart, Venice, Milan] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 5 - 9).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Munich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Venice, Milan] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 5 - 9).\n     |- The departure day of Stuttgart is Day 6. The arrival day of Munich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Frankfurt to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 5 - 9).\n     |- The departure day of Milan is Day 6. The arrival day of Munich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Frankfurt is Day 2. The arrival day of Munich is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Stuttgart, Venice, Milan] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Munich (Day 5 - 9).\n   |- The departure day of Stuttgart is Day 4. The arrival day of Munich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Stuttgart].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Venice, Milan] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stuttgart to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stuttgart to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stuttgart to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 5 - 9).\n     |- The departure day of Milan is Day 6. The arrival day of Munich is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Frankfurt to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Munich (Day 5 - 9).\n   |- The departure day of Milan is Day 4. The arrival day of Munich is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Stuttgart, Venice] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Stuttgart is Day 3. The arrival day of Munich is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt, Venice, Milan] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 5 - 9).\n   |- The departure day of Milan is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Venice is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 11 - 14).\n   |- The departure day of Munich is Day 9. The arrival day of Bucharest is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt, Stuttgart, Milan] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Munich to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Bucharest (Day 11 - 14).\n     |- The departure day of Lyon is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Munich, Lyon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lyon to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 17 - 18).\n       |- The departure day of Bucharest is Day 14. The arrival day of Split is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Venice, Munich, Lyon, Bucharest].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Stuttgart, Milan] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Bucharest to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Split (Day 17 - 18).\n         |- The departure day of Frankfurt is Day 15. The arrival day of Split is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Venice, Munich, Lyon, Bucharest, Frankfurt].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Milan] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Frankfurt to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Split (Day 17 - 18).\n           |- The departure day of Stuttgart is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Munich, Lyon, Bucharest, Frankfurt, Stuttgart].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n             |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Santorini (Day 20 - 21).\n             |- The departure day of Split is Day 18. The arrival day of Santorini is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Munich, Lyon, Bucharest, Frankfurt, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n               |- Try arranging to visit Milan from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Split to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 20 - 21).\n               |- The departure day of Milan is Day 20. The arrival day of Santorini is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Venice, Munich, Lyon, Bucharest, Frankfurt, Stuttgart, Split, Milan].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Santorini.\n                 |- Try arranging to visit Santorini from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Milan to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Venice, Munich, Lyon, Bucharest, Frankfurt, Stuttgart, Split, Milan, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Lyon.\n**Day 9-11:** Visit Lyon for 3 days.\n**Day 11:** Fly from Lyon to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.\n**Day 14:** Fly from Bucharest to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Stuttgart.\n**Day 15-17:** Visit Stuttgart for 3 days.\n**Day 17:** Fly from Stuttgart to Split.\n**Day 17-18:** Visit Split for 2 days.\n**Day 18:** Fly from Split to Milan.\n**Day 18-20:** Visit Milan for 3 days.\n**Day 20:** Fly from Milan to Santorini.\n**Day 20-21:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Paris**Nice**Berlin**Krakow**Stuttgart**Split**Oslo**Dubrovnik",
    "ground_truth_durations": "3**2**4**3**3**4**5**2**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Hamburg",
        "Paris"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Krakow",
        "Oslo"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Berlin",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 3 days. You want to spend 3 days in Dubrovnik. You would like to visit Paris for 2 days. You plan to stay in Oslo for 2 days. You would like to visit Split for 5 days. You want to spend 4 days in Stuttgart. You plan to visit relatives in Stuttgart between day 11 and day 14. You plan to stay in Hamburg for 3 days. During day 1 and day 3, you have to attend a conference in Hamburg. You want to spend 4 days in Nice. From day 4 to day 7, there is a annual show you want to attend in Nice. You plan to stay in Krakow for 3 days. You want to meet a friend in Krakow between day 9 and day 11.\n\nHere are the cities that have direct flights:\nBerlin and Krakow, Hamburg and Nice, Nice and Oslo, Berlin and Oslo, Krakow and Split, Paris and Nice, Hamburg and Oslo, Oslo and Dubrovnik, Paris and Split, Hamburg and Paris, Hamburg and Split, Paris and Oslo, Krakow and Oslo, Paris and Stuttgart, Nice and Berlin, Berlin and Split, Stuttgart and Split, Paris and Berlin, Krakow and Stuttgart, Hamburg and Stuttgart, Split and Oslo, Paris and Krakow, Berlin and Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 3 days. You want to spend 3 days in Dubrovnik. You would like to visit Paris for 2 days. You plan to stay in Oslo for 2 days. You would like to visit Split for 5 days. You want to spend 4 days in Stuttgart. You plan to visit relatives in Stuttgart between day 11 and day 14. You plan to stay in Hamburg for 3 days. During day 1 and day 3, you have to attend a conference in Hamburg. You want to spend 4 days in Nice. From day 4 to day 7, there is a annual show you want to attend in Nice. You plan to stay in Krakow for 3 days. You want to meet a friend in Krakow between day 9 and day 11.\n\nHere are the cities that have direct flights:\nfrom Berlin to Krakow, from Hamburg to Nice, from Nice to Oslo, from Berlin to Oslo, from Krakow to Split, from Paris to Nice, from Hamburg to Oslo, from Oslo to Dubrovnik, from Paris to Split, from Hamburg to Paris, from Hamburg to Split, from Paris to Oslo, from Krakow to Oslo, from Paris to Stuttgart, from Nice to Berlin, from Berlin to Split, from Stuttgart to Split, from Paris to Berlin, from Krakow to Stuttgart, from Hamburg to Stuttgart, from Split to Oslo, from Paris to Krakow, from Berlin to Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Nice.\n**Day 4-7:** Visit Nice for 4 days.\n**Day 7:** Fly from Nice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.\n**Day 14:** Fly from Stuttgart to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Oslo.\n**Day 18-19:** Visit Oslo for 2 days.\n**Day 19:** Fly from Oslo to Dubrovnik.\n**Day 19-21:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1362",
    "estimated_output_tokens": 2421,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 3.\n* City: Nice, Fixed Schedule: Day 4 - 7.\n* City: Krakow, Fixed Schedule: Day 9 - 11.\n* City: Stuttgart, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Paris, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n* City: Split, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 4 - 7).\n |- The departure day of Hamburg is Day 3. The arrival day of Nice is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik, Paris, Oslo, Split] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Hamburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Hamburg to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 4 - 7).\n   |- The departure day of Paris is Day 4. The arrival day of Nice is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Hamburg, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Paris to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 9 - 11).\n     |- The departure day of Nice is Day 7. The arrival day of Krakow is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Hamburg, Paris, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Dubrovnik, Oslo, Split] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Nice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 9 - 11).\n       |- The departure day of Berlin is Day 9. The arrival day of Krakow is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Hamburg, Paris, Nice, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 11 - 14).\n         |- The departure day of Krakow is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Hamburg, Paris, Nice, Berlin, Krakow].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Krakow to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Hamburg, Paris, Nice, Berlin, Krakow, Stuttgart].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo, Split] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Stuttgart to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Stuttgart to Oslo.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Hamburg, Paris, Nice, Berlin, Krakow, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Oslo] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Split to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Oslo from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Split to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Hamburg, Paris, Nice, Berlin, Krakow, Stuttgart, Split, Oslo].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Oslo to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Hamburg, Paris, Nice, Berlin, Krakow, Stuttgart, Split, Oslo, Dubrovnik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Hamburg and visit Hamburg for 3 days.\n**Day 3:** Fly from Hamburg to Paris.\n**Day 3-4:** Visit Paris for 2 days.\n**Day 4:** Fly from Paris to Nice.\n**Day 4-7:** Visit Nice for 4 days.\n**Day 7:** Fly from Nice to Berlin.\n**Day 7-9:** Visit Berlin for 3 days.\n**Day 9:** Fly from Berlin to Krakow.\n**Day 9-11:** Visit Krakow for 3 days.\n**Day 11:** Fly from Krakow to Stuttgart.\n**Day 11-14:** Visit Stuttgart for 4 days.\n**Day 14:** Fly from Stuttgart to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Oslo.\n**Day 18-19:** Visit Oslo for 2 days.\n**Day 19:** Fly from Oslo to Dubrovnik.\n**Day 19-21:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Dublin**Valencia**Krakow**Vilnius**Warsaw**Stockholm**Hamburg**Salzburg",
    "ground_truth_durations": "4**5**4**3**5**5**5**4**3",
    "num_cities": 9,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Stockholm"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 13 and day 17. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Stockholm. You want to spend 4 days in Hamburg. You have to attend a workshop in Hamburg between day 25 and day 28. You would like to visit Dublin for 5 days. You want to spend 4 days in Valencia. You would like to visit Edinburgh for 4 days. You plan to visit relatives in Edinburgh between day 1 and day 4. You want to spend 5 days in Warsaw. During day 17 and day 21, you have to attend a conference in Warsaw. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nEdinburgh and Krakow, Edinburgh and Hamburg, Edinburgh and Stockholm, Dublin and Krakow, Valencia and Krakow, Dublin and Stockholm, Stockholm and Hamburg, Warsaw and Stockholm, Dublin and Valencia, Warsaw and Hamburg, Dublin and Hamburg, Valencia and Warsaw, Krakow and Warsaw, Hamburg and Salzburg, Krakow and Stockholm, from Krakow to Vilnius, Vilnius and Warsaw, Edinburgh and Dublin.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 13 and day 17. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Stockholm. You want to spend 4 days in Hamburg. You have to attend a workshop in Hamburg between day 25 and day 28. You would like to visit Dublin for 5 days. You want to spend 4 days in Valencia. You would like to visit Edinburgh for 4 days. You plan to visit relatives in Edinburgh between day 1 and day 4. You want to spend 5 days in Warsaw. During day 17 and day 21, you have to attend a conference in Warsaw. You plan to stay in Krakow for 3 days.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Krakow, from Edinburgh to Hamburg, from Edinburgh to Stockholm, from Dublin to Krakow, from Valencia to Krakow, from Dublin to Stockholm, from Stockholm to Hamburg, from Warsaw to Stockholm, from Dublin to Valencia, from Warsaw to Hamburg, from Dublin to Hamburg, from Valencia to Warsaw, from Krakow to Warsaw, from Hamburg to Salzburg, from Krakow to Stockholm, from Krakow to Vilnius, from Vilnius to Warsaw, from Edinburgh to Dublin.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 30 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Dublin.\n**Day 4-8:** Visit Dublin for 5 days.\n**Day 8:** Fly from Dublin to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n**Day 17:** Fly from Vilnius to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.\n**Day 21:** Fly from Warsaw to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.\n**Day 25:** Fly from Stockholm to Hamburg.\n**Day 25-28:** Visit Hamburg for 4 days.\n**Day 28:** Fly from Hamburg to Salzburg.\n**Day 28-30:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1363",
    "estimated_output_tokens": 3286,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Salzburg, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Dublin, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Krakow, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 4.\n* City: Vilnius, Fixed Schedule: Day 13 - 17.\n* City: Warsaw, Fixed Schedule: Day 17 - 21.\n* City: Hamburg, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dublin, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 13 - 17).\n |- The departure day of Edinburgh is Day 4. The arrival day of Vilnius is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Dublin, Valencia, Krakow] and explore these options in order.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Edinburgh to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 13 - 17).\n   |- The departure day of Stockholm is Day 8. The arrival day of Vilnius is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Stockholm].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Dublin, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stockholm to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stockholm to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stockholm to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stockholm to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 13 - 17).\n   |- The departure day of Dublin is Day 8. The arrival day of Vilnius is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Dublin].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Valencia, Krakow] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Dublin to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Dublin to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 13 - 17).\n     |- The departure day of Stockholm is Day 12. The arrival day of Vilnius is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Edinburgh, Dublin, Stockholm].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Krakow] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Stockholm to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Stockholm to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Stockholm to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Dublin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 13 - 17).\n     |- The departure day of Valencia is Day 11. The arrival day of Vilnius is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Dublin, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm, Krakow] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Valencia to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 13 - 17).\n       |- The departure day of Krakow is Day 13. The arrival day of Vilnius is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Edinburgh, Dublin, Valencia, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Krakow to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 17 - 21).\n         |- The departure day of Vilnius is Day 17. The arrival day of Warsaw is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Edinburgh, Dublin, Valencia, Krakow, Vilnius].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vilnius to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 25 - 28).\n           |- The departure day of Warsaw is Day 21. The arrival day of Hamburg is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Edinburgh, Dublin, Valencia, Krakow, Vilnius, Warsaw].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Stockholm] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Warsaw to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Warsaw to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Hamburg (Day 25 - 28).\n             |- The departure day of Stockholm is Day 25. The arrival day of Hamburg is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Edinburgh, Dublin, Valencia, Krakow, Vilnius, Warsaw, Stockholm].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n               |- Check for direct flight from Stockholm to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Edinburgh, Dublin, Valencia, Krakow, Vilnius, Warsaw, Stockholm, Hamburg].\n                |- Check whether the city with an arrival day of Day 28 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 28. Duration: 3 days. Schedule: Day 28 - 30.\n                 |- Check for direct flight from Hamburg to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Edinburgh, Dublin, Valencia, Krakow, Vilnius, Warsaw, Stockholm, Hamburg, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Dublin.\n**Day 4-8:** Visit Dublin for 5 days.\n**Day 8:** Fly from Dublin to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Vilnius.\n**Day 13-17:** Visit Vilnius for 5 days.\n**Day 17:** Fly from Vilnius to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.\n**Day 21:** Fly from Warsaw to Stockholm.\n**Day 21-25:** Visit Stockholm for 5 days.\n**Day 25:** Fly from Stockholm to Hamburg.\n**Day 25-28:** Visit Hamburg for 4 days.\n**Day 28:** Fly from Hamburg to Salzburg.\n**Day 28-30:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Budapest**Rome**Split**Athens**Barcelona**Porto**Lyon**Bucharest",
    "ground_truth_durations": "3**2**5**5**5**3**4**5**2",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 3,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Rome"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Budapest",
        "Barcelona"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Rome",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You want to spend 5 days in Lyon. You want to spend 5 days in Split. From day 8 to day 12, there is a annual show you want to attend in Split. You plan to stay in Athens for 5 days. You plan to stay in Lisbon for 3 days. You are going to attend a wedding in Lisbon between day 1 and day 3. You would like to visit Rome for 5 days. You plan to stay in Barcelona for 3 days. You plan to stay in Porto for 4 days. During day 18 and day 21, you have to attend a conference in Porto. You plan to stay in Budapest for 2 days. You have to attend a workshop in Budapest between day 3 and day 4.\n\nHere are the cities that have direct flights:\nBudapest and Rome, Barcelona and Lyon, Rome and Athens, Split and Athens, Lisbon and Athens, Lisbon and Bucharest, Split and Barcelona, Porto and Lyon, Lisbon and Budapest, Budapest and Barcelona, Lyon and Bucharest, Lisbon and Rome, Rome and Bucharest, Athens and Barcelona, Rome and Split, Lisbon and Barcelona, Lisbon and Lyon, Barcelona and Porto, Athens and Bucharest, Barcelona and Bucharest, Budapest and Bucharest, Rome and Lyon, Split and Lyon, Lisbon and Porto, Rome and Barcelona.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You want to spend 5 days in Lyon. You want to spend 5 days in Split. From day 8 to day 12, there is a annual show you want to attend in Split. You plan to stay in Athens for 5 days. You plan to stay in Lisbon for 3 days. You are going to attend a wedding in Lisbon between day 1 and day 3. You would like to visit Rome for 5 days. You plan to stay in Barcelona for 3 days. You plan to stay in Porto for 4 days. During day 18 and day 21, you have to attend a conference in Porto. You plan to stay in Budapest for 2 days. You have to attend a workshop in Budapest between day 3 and day 4.\n\nHere are the cities that have direct flights:\nfrom Budapest to Rome, from Barcelona to Lyon, from Rome to Athens, from Split to Athens, from Lisbon to Athens, from Lisbon to Bucharest, from Split to Barcelona, from Porto to Lyon, from Lisbon to Budapest, from Budapest to Barcelona, from Lyon to Bucharest, from Lisbon to Rome, from Rome to Bucharest, from Athens to Barcelona, from Rome to Split, from Lisbon to Barcelona, from Lisbon to Lyon, from Barcelona to Porto, from Athens to Bucharest, from Barcelona to Bucharest, from Budapest to Bucharest, from Rome to Lyon, from Split to Lyon, from Lisbon to Porto, from Rome to Barcelona.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Split.\n**Day 8-12:** Visit Split for 5 days.\n**Day 12:** Fly from Split to Athens.\n**Day 12-16:** Visit Athens for 5 days.\n**Day 16:** Fly from Athens to Barcelona.\n**Day 16-18:** Visit Barcelona for 3 days.\n**Day 18:** Fly from Barcelona to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n**Day 25:** Fly from Lyon to Bucharest.\n**Day 25-26:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1364",
    "estimated_output_tokens": 3779,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Athens, Duration: 5 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Rome, Duration: 5 days.\n* City: Barcelona, Duration: 3 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 3.\n* City: Budapest, Fixed Schedule: Day 3 - 4.\n* City: Split, Fixed Schedule: Day 8 - 12.\n* City: Porto, Fixed Schedule: Day 18 - 21.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Rome, Duration: 5 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 3 - 4).\n |- The departure day of Lisbon is Day 3. The arrival day of Budapest is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Lisbon to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Split (Day 8 - 12).\n   |- The departure day of Budapest is Day 4. The arrival day of Split is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Budapest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Athens, Rome, Barcelona] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Budapest to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 8 - 12).\n     |- The departure day of Bucharest is Day 5. The arrival day of Split is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Lisbon, Budapest, Bucharest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Athens, Rome, Barcelona] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Bucharest to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Bucharest to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Bucharest to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Budapest to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Budapest to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Budapest to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Split (Day 8 - 12).\n     |- The departure day of Rome is Day 8. The arrival day of Split is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Budapest, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Split.\n       |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Rome to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 18 - 21).\n       |- The departure day of Split is Day 12. The arrival day of Porto is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Budapest, Rome, Split].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Athens, Barcelona] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Split to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Split to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 18 - 21).\n         |- The departure day of Lyon is Day 16. The arrival day of Porto is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Budapest, Rome, Split, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Athens, Barcelona] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lyon to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Porto (Day 18 - 21).\n           |- The departure day of Bucharest is Day 17. The arrival day of Porto is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lisbon, Budapest, Rome, Split, Lyon, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Barcelona] and explore these options in order.\n             |- Try arranging to visit Athens from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Bucharest to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Barcelona from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Bucharest to Barcelona.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Athens from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Lyon to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Lyon to Barcelona.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Split to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 18 - 21).\n         |- The departure day of Athens is Day 16. The arrival day of Porto is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Budapest, Rome, Split, Athens].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon, Barcelona] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Athens to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Porto (Day 18 - 21).\n           |- The departure day of Bucharest is Day 17. The arrival day of Porto is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lisbon, Budapest, Rome, Split, Athens, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Barcelona] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Barcelona from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Bucharest to Barcelona.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Athens to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Athens to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Porto (Day 18 - 21).\n           |- The departure day of Barcelona is Day 18. The arrival day of Porto is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Lisbon, Budapest, Rome, Split, Athens, Barcelona].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Porto.\n             |- Try arranging to visit Porto from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Barcelona to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lisbon, Budapest, Rome, Split, Athens, Barcelona, Porto].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Lyon] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Porto to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Porto to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Lisbon, Budapest, Rome, Split, Athens, Barcelona, Porto, Lyon].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                 |- Check for direct flight from Lyon to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Lisbon, Budapest, Rome, Split, Athens, Barcelona, Porto, Lyon, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lisbon and visit Lisbon for 3 days.\n**Day 3:** Fly from Lisbon to Budapest.\n**Day 3-4:** Visit Budapest for 2 days.\n**Day 4:** Fly from Budapest to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Split.\n**Day 8-12:** Visit Split for 5 days.\n**Day 12:** Fly from Split to Athens.\n**Day 12-16:** Visit Athens for 5 days.\n**Day 16:** Fly from Athens to Barcelona.\n**Day 16-18:** Visit Barcelona for 3 days.\n**Day 18:** Fly from Barcelona to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Lyon.\n**Day 21-25:** Visit Lyon for 5 days.\n**Day 25:** Fly from Lyon to Bucharest.\n**Day 25-26:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Hamburg**Stockholm**Santorini**Rome**Dubrovnik**Istanbul**Lisbon**Florence",
    "ground_truth_durations": "4**5**3**3**5**4**2**5**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 20,
        "end_day": 24
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Stockholm",
        "Istanbul"
      ],
      [
        "Budapest",
        "Istanbul"
      ],
      [
        "Hamburg",
        "Lisbon"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Budapest",
        "Rome"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Istanbul",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 5 days. During day 12 and day 16, you have to attend a conference in Rome. You plan to stay in Santorini for 3 days. You would like to visit Hamburg for 5 days. You want to spend 2 days in Florence. You plan to stay in Dubrovnik for 4 days. You plan to stay in Istanbul for 2 days. From day 19 to day 20, there is a annual show you want to attend in Istanbul. You want to spend 3 days in Stockholm. You plan to stay in Budapest for 4 days. You plan to stay in Lisbon for 5 days. You have to attend a workshop in Lisbon between day 20 and day 24.\n\nHere are the cities that have direct flights:\nRome and Lisbon, Hamburg and Istanbul, Hamburg and Stockholm, Rome and Dubrovnik, Santorini and Rome, Stockholm and Istanbul, Budapest and Istanbul, Hamburg and Lisbon, Budapest and Hamburg, Stockholm and Dubrovnik, from Stockholm to Santorini, Budapest and Lisbon, from Dubrovnik to Istanbul, Rome and Istanbul, Stockholm and Rome, Budapest and Rome, Stockholm and Lisbon, Hamburg and Rome, Lisbon and Florence, Istanbul and Lisbon.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 5 days. During day 12 and day 16, you have to attend a conference in Rome. You plan to stay in Santorini for 3 days. You would like to visit Hamburg for 5 days. You want to spend 2 days in Florence. You plan to stay in Dubrovnik for 4 days. You plan to stay in Istanbul for 2 days. From day 19 to day 20, there is a annual show you want to attend in Istanbul. You want to spend 3 days in Stockholm. You plan to stay in Budapest for 4 days. You plan to stay in Lisbon for 5 days. You have to attend a workshop in Lisbon between day 20 and day 24.\n\nHere are the cities that have direct flights:\nfrom Rome to Lisbon, from Hamburg to Istanbul, from Hamburg to Stockholm, from Rome to Dubrovnik, from Santorini to Rome, from Stockholm to Istanbul, from Budapest to Istanbul, from Hamburg to Lisbon, from Budapest to Hamburg, from Stockholm to Dubrovnik, from Stockholm to Santorini, from Budapest to Lisbon, from Dubrovnik to Istanbul, from Rome to Istanbul, from Stockholm to Rome, from Budapest to Rome, from Stockholm to Lisbon, from Hamburg to Rome, from Lisbon to Florence, from Istanbul to Lisbon.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Dubrovnik.\n**Day 16-19:** Visit Dubrovnik for 4 days.\n**Day 19:** Fly from Dubrovnik to Istanbul.\n**Day 19-20:** Visit Istanbul for 2 days.\n**Day 20:** Fly from Istanbul to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.\n**Day 24:** Fly from Lisbon to Florence.\n**Day 24-25:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1365",
    "estimated_output_tokens": 6536,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Stockholm, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 12 - 16.\n* City: Istanbul, Fixed Schedule: Day 19 - 20.\n* City: Lisbon, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stockholm, Duration: 3 days.\n* City: Budapest, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Florence, Dubrovnik, Stockholm, Budapest] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Santorini is Day 3. The arrival day of Rome is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Dubrovnik, Stockholm, Budapest] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Hamburg is Day 5. The arrival day of Rome is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Dubrovnik, Stockholm, Budapest] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 12 - 16).\n   |- The departure day of Stockholm is Day 7. The arrival day of Rome is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Hamburg, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Dubrovnik, Budapest] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 12 - 16).\n     |- The departure day of Santorini is Day 9. The arrival day of Rome is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Dubrovnik, Budapest] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Santorini to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Santorini to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Santorini to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 12 - 16).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Rome is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Hamburg, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Budapest] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dubrovnik to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Dubrovnik to Budapest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Stockholm to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Florence is Day 2. The arrival day of Rome is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Dubrovnik, Stockholm, Budapest] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Rome is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Florence, Stockholm, Budapest] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Stockholm is Day 3. The arrival day of Rome is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Florence, Dubrovnik, Budapest] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 12 - 16).\n   |- The departure day of Santorini is Day 5. The arrival day of Rome is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Dubrovnik, Budapest] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Santorini to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Santorini to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Santorini to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Rome (Day 12 - 16).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Rome is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Florence, Budapest] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dubrovnik to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 12 - 16).\n |- The departure day of Budapest is Day 4. The arrival day of Rome is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Florence, Dubrovnik, Stockholm] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Budapest to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Budapest to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 12 - 16).\n   |- The departure day of Hamburg is Day 8. The arrival day of Rome is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Budapest, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Dubrovnik, Stockholm] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Hamburg to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Hamburg to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Hamburg to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 12 - 16).\n     |- The departure day of Stockholm is Day 10. The arrival day of Rome is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Budapest, Hamburg, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Rome (Day 12 - 16).\n       |- The departure day of Santorini is Day 12. The arrival day of Rome is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Budapest, Hamburg, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 19 - 20).\n         |- The departure day of Rome is Day 16. The arrival day of Istanbul is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Budapest, Hamburg, Stockholm, Santorini, Rome].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Florence from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Rome to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Rome to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Istanbul (Day 19 - 20).\n           |- The departure day of Dubrovnik is Day 19. The arrival day of Istanbul is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Budapest, Hamburg, Stockholm, Santorini, Rome, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Dubrovnik to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lisbon (Day 20 - 24).\n             |- The departure day of Istanbul is Day 20. The arrival day of Lisbon is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Budapest, Hamburg, Stockholm, Santorini, Rome, Dubrovnik, Istanbul].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Lisbon.\n               |- Try arranging to visit Lisbon from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Istanbul to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Budapest, Hamburg, Stockholm, Santorini, Rome, Dubrovnik, Istanbul, Lisbon].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Lisbon to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Budapest, Hamburg, Stockholm, Santorini, Rome, Dubrovnik, Istanbul, Lisbon, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Budapest and visit Budapest for 4 days.\n**Day 4:** Fly from Budapest to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Stockholm.\n**Day 8-10:** Visit Stockholm for 3 days.\n**Day 10:** Fly from Stockholm to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Rome.\n**Day 12-16:** Visit Rome for 5 days.\n**Day 16:** Fly from Rome to Dubrovnik.\n**Day 16-19:** Visit Dubrovnik for 4 days.\n**Day 19:** Fly from Dubrovnik to Istanbul.\n**Day 19-20:** Visit Istanbul for 2 days.\n**Day 20:** Fly from Istanbul to Lisbon.\n**Day 20-24:** Visit Lisbon for 5 days.\n**Day 24:** Fly from Lisbon to Florence.\n**Day 24-25:** Visit Florence for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Lisbon**Venice**Edinburgh**Krakow**Split**Dublin**Budapest**Mykonos",
    "ground_truth_durations": "4**2**5**2**4**3**5**4**5",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 5 days. You have to attend a workshop in Mykonos between day 22 and day 26. You would like to visit Venice for 5 days. You want to spend 2 days in Lisbon. You would like to visit Budapest for 4 days. You plan to stay in Dublin for 5 days. You want to meet a friend in Dublin between day 15 and day 19. You would like to visit Valencia for 4 days. You would like to meet your friends at Valencia between day 1 and day 4 to tour together. You would like to visit Krakow for 4 days. You want to spend 2 days in Edinburgh. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nBudapest and Mykonos, Krakow and Split, Edinburgh and Krakow, Valencia and Dublin, Valencia and Lisbon, Valencia and Krakow, Lisbon and Krakow, Split and Dublin, Lisbon and Venice, Venice and Dublin, Lisbon and Dublin, Lisbon and Budapest, Dublin and Budapest, Edinburgh and Budapest, Venice and Edinburgh, Krakow and Dublin, Edinburgh and Dublin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 5 days. You have to attend a workshop in Mykonos between day 22 and day 26. You would like to visit Venice for 5 days. You want to spend 2 days in Lisbon. You would like to visit Budapest for 4 days. You plan to stay in Dublin for 5 days. You want to meet a friend in Dublin between day 15 and day 19. You would like to visit Valencia for 4 days. You would like to meet your friends at Valencia between day 1 and day 4 to tour together. You would like to visit Krakow for 4 days. You want to spend 2 days in Edinburgh. You want to spend 3 days in Split.\n\nHere are the cities that have direct flights:\nfrom Budapest to Mykonos, from Krakow to Split, from Edinburgh to Krakow, from Valencia to Dublin, from Valencia to Lisbon, from Valencia to Krakow, from Lisbon to Krakow, from Split to Dublin, from Lisbon to Venice, from Venice to Dublin, from Lisbon to Dublin, from Lisbon to Budapest, from Dublin to Budapest, from Edinburgh to Budapest, from Venice to Edinburgh, from Krakow to Dublin, from Edinburgh to Dublin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Budapest.\n**Day 19-22:** Visit Budapest for 4 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1366",
    "estimated_output_tokens": 2790,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Venice, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Budapest, Duration: 4 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 4.\n* City: Dublin, Fixed Schedule: Day 15 - 19.\n* City: Mykonos, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Lisbon, Duration: 2 days.\n* City: Budapest, Duration: 4 days.\n* City: Krakow, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 15 - 19).\n |- The departure day of Valencia is Day 4. The arrival day of Dublin is Day 15. Day 4 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Lisbon, Budapest, Krakow, Edinburgh, Split] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 15 - 19).\n   |- The departure day of Lisbon is Day 5. The arrival day of Dublin is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Budapest, Krakow, Edinburgh, Split] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lisbon to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 15 - 19).\n     |- The departure day of Venice is Day 9. The arrival day of Dublin is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Lisbon, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Krakow, Edinburgh, Split] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 15 - 19).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Dublin is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Lisbon, Venice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Krakow, Split] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 15 - 19).\n         |- The departure day of Budapest is Day 13. The arrival day of Dublin is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Budapest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Split] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Budapest to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Budapest to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 15 - 19).\n         |- The departure day of Krakow is Day 13. The arrival day of Dublin is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Krakow].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Budapest, Split] and explore these options in order.\n           |- Try arranging to visit Budapest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Krakow to Budapest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Krakow to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 15 - 19).\n           |- The departure day of Split is Day 15. The arrival day of Dublin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Krakow, Split].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Split to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 22 - 26).\n             |- The departure day of Dublin is Day 19. The arrival day of Mykonos is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Krakow, Split, Dublin].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Budapest] and explore these options in order.\n               |- Try arranging to visit Budapest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Dublin to Budapest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Mykonos (Day 22 - 26).\n               |- The departure day of Budapest is Day 22. The arrival day of Mykonos is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Krakow, Split, Dublin, Budapest].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Mykonos.\n                 |- Try arranging to visit Mykonos from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Budapest to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Valencia, Lisbon, Venice, Edinburgh, Krakow, Split, Dublin, Budapest, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Krakow.\n**Day 10-13:** Visit Krakow for 4 days.\n**Day 13:** Fly from Krakow to Split.\n**Day 13-15:** Visit Split for 3 days.\n**Day 15:** Fly from Split to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Budapest.\n**Day 19-22:** Visit Budapest for 4 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Prague**Rome**Bucharest**Hamburg**Porto**Frankfurt**Tallinn**Brussels",
    "ground_truth_durations": "3**2**2**3**3**3**4**5**2",
    "num_cities": 9,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Bucharest",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You want to spend 2 days in Rome. You would like to visit Florence for 3 days. During day 1 and day 3, you have to attend a conference in Florence. You want to spend 2 days in Prague. You would like to visit Tallinn for 5 days. You plan to stay in Hamburg for 3 days. You want to spend 2 days in Brussels. You want to meet a friend in Brussels between day 18 and day 19. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nBucharest and Hamburg, Florence and Brussels, Prague and Frankfurt, Rome and Hamburg, Hamburg and Brussels, Porto and Brussels, Hamburg and Porto, Prague and Brussels, Florence and Prague, Rome and Brussels, from Brussels to Frankfurt, Hamburg and Frankfurt, Prague and Rome, Florence and Frankfurt, Prague and Tallinn, Porto and Frankfurt, Bucharest and Frankfurt, Frankfurt and Tallinn, Rome and Bucharest, Prague and Bucharest, Rome and Frankfurt, Tallinn and Brussels, Bucharest and Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 19 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You want to spend 2 days in Rome. You would like to visit Florence for 3 days. During day 1 and day 3, you have to attend a conference in Florence. You want to spend 2 days in Prague. You would like to visit Tallinn for 5 days. You plan to stay in Hamburg for 3 days. You want to spend 2 days in Brussels. You want to meet a friend in Brussels between day 18 and day 19. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You want to spend 4 days in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Hamburg, from Florence to Brussels, from Prague to Frankfurt, from Rome to Hamburg, from Hamburg to Brussels, from Porto to Brussels, from Hamburg to Porto, from Prague to Brussels, from Florence to Prague, from Rome to Brussels, from Brussels to Frankfurt, from Hamburg to Frankfurt, from Prague to Rome, from Florence to Frankfurt, from Prague to Tallinn, from Porto to Frankfurt, from Bucharest to Frankfurt, from Frankfurt to Tallinn, from Rome to Bucharest, from Prague to Bucharest, from Rome to Frankfurt, from Tallinn to Brussels, from Bucharest to Brussels.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 19 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Prague.\n**Day 3-4:** Visit Prague for 2 days.\n**Day 4:** Fly from Prague to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Frankfurt.\n**Day 11-14:** Visit Frankfurt for 4 days.\n**Day 14:** Fly from Frankfurt to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Brussels.\n**Day 18-19:** Visit Brussels for 2 days.",
    "id": "trip_planning_example_1367",
    "estimated_output_tokens": 2569,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Prague, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 3.\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Brussels, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 5 - 7).\n |- The departure day of Florence is Day 3. The arrival day of Bucharest is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Rome, Prague, Tallinn, Hamburg, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 5 - 7).\n   |- The departure day of Prague is Day 4. The arrival day of Bucharest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Rome, Tallinn, Hamburg, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Prague to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Prague to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n     |- The departure day of Rome is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Florence, Prague, Rome].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Rome to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 18 - 19).\n       |- The departure day of Bucharest is Day 7. The arrival day of Brussels is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Florence, Prague, Rome, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Tallinn, Hamburg, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Porto from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Bucharest to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Bucharest to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Bucharest to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 18 - 19).\n         |- The departure day of Hamburg is Day 9. The arrival day of Brussels is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Florence, Prague, Rome, Bucharest, Hamburg].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Tallinn, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Hamburg to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 18 - 19).\n           |- The departure day of Porto is Day 11. The arrival day of Brussels is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Florence, Prague, Rome, Bucharest, Hamburg, Porto].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Porto to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Porto to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Brussels (Day 18 - 19).\n             |- The departure day of Frankfurt is Day 14. The arrival day of Brussels is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Florence, Prague, Rome, Bucharest, Hamburg, Porto, Frankfurt].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Frankfurt to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Brussels (Day 18 - 19).\n               |- The departure day of Tallinn is Day 18. The arrival day of Brussels is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Florence, Prague, Rome, Bucharest, Hamburg, Porto, Frankfurt, Tallinn].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Brussels.\n                 |- Try arranging to visit Brussels from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Tallinn to Brussels.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Florence, Prague, Rome, Bucharest, Hamburg, Porto, Frankfurt, Tallinn, Brussels].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Prague.\n**Day 3-4:** Visit Prague for 2 days.\n**Day 4:** Fly from Prague to Rome.\n**Day 4-5:** Visit Rome for 2 days.\n**Day 5:** Fly from Rome to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Hamburg.\n**Day 7-9:** Visit Hamburg for 3 days.\n**Day 9:** Fly from Hamburg to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Frankfurt.\n**Day 11-14:** Visit Frankfurt for 4 days.\n**Day 14:** Fly from Frankfurt to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Brussels.\n**Day 18-19:** Visit Brussels for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Amsterdam**Florence**London**Santorini**Naples**Berlin**Reykjavik**Athens",
    "ground_truth_durations": "2**4**5**3**5**4**4**3**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "London"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Valencia. From day 1 to day 2, there is a annual show you want to attend in Valencia. You want to spend 4 days in Berlin. You would like to visit Amsterdam for 4 days. You plan to visit relatives in Amsterdam between day 2 and day 5. You would like to visit Naples for 4 days. You would like to visit Reykjavik for 3 days. You want to meet a friend in Reykjavik between day 21 and day 23. You plan to stay in Athens for 4 days. You want to spend 5 days in Florence. You want to spend 3 days in London. You want to spend 5 days in Santorini.\n\nHere are the cities that have direct flights:\nValencia and London, London and Berlin, Santorini and Athens, Amsterdam and Berlin, Valencia and Naples, Amsterdam and Athens, Santorini and Naples, Amsterdam and London, Amsterdam and Florence, Valencia and Amsterdam, Berlin and Reykjavik, London and Naples, Valencia and Berlin, Berlin and Athens, London and Athens, Naples and Athens, Amsterdam and Reykjavik, London and Reykjavik, Amsterdam and Santorini, Florence and London, Amsterdam and Naples, Naples and Berlin, London and Santorini, from Valencia to Athens, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Valencia. From day 1 to day 2, there is a annual show you want to attend in Valencia. You want to spend 4 days in Berlin. You would like to visit Amsterdam for 4 days. You plan to visit relatives in Amsterdam between day 2 and day 5. You would like to visit Naples for 4 days. You would like to visit Reykjavik for 3 days. You want to meet a friend in Reykjavik between day 21 and day 23. You plan to stay in Athens for 4 days. You want to spend 5 days in Florence. You want to spend 3 days in London. You want to spend 5 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Valencia to London, from London to Berlin, from Santorini to Athens, from Amsterdam to Berlin, from Valencia to Naples, from Amsterdam to Athens, from Santorini to Naples, from Amsterdam to London, from Amsterdam to Florence, from Valencia to Amsterdam, from Berlin to Reykjavik, from London to Naples, from Valencia to Berlin, from Berlin to Athens, from London to Athens, from Naples to Athens, from Amsterdam to Reykjavik, from London to Reykjavik, from Amsterdam to Santorini, from Florence to London, from Amsterdam to Naples, from Naples to Berlin, from London to Santorini, from Valencia to Athens, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to London.\n**Day 9-11:** Visit London for 3 days.\n**Day 11:** Fly from London to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Naples.\n**Day 15-18:** Visit Naples for 4 days.\n**Day 18:** Fly from Naples to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Reykjavik.\n**Day 21-23:** Visit Reykjavik for 3 days.\n**Day 23:** Fly from Reykjavik to Athens.\n**Day 23-26:** Visit Athens for 4 days.",
    "id": "trip_planning_example_1368",
    "estimated_output_tokens": 7433,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Berlin, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Naples, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Athens, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Fixed Schedule: Day 2 - 5.\n* City: Reykjavik, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: London, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 2 - 5).\n |- The departure day of Valencia is Day 2. The arrival day of Amsterdam is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 21 - 23).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Reykjavik is Day 21. Day 5 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Valencia, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Athens, Florence, London, Santorini] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 21 - 23).\n     |- The departure day of Berlin is Day 8. The arrival day of Reykjavik is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Amsterdam, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Athens, Florence, London, Santorini] and explore these options in order.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Berlin to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Berlin to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 21 - 23).\n       |- The departure day of Athens is Day 11. The arrival day of Reykjavik is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Amsterdam, Berlin, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Florence, London, Santorini] and explore these options in order.\n         |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Berlin to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Berlin to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Berlin to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 21 - 23).\n     |- The departure day of Naples is Day 8. The arrival day of Reykjavik is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Amsterdam, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Athens, Florence, London, Santorini] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 21 - 23).\n       |- The departure day of Berlin is Day 11. The arrival day of Reykjavik is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Amsterdam, Naples, Berlin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Florence, London, Santorini] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Berlin to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 21 - 23).\n         |- The departure day of Athens is Day 14. The arrival day of Reykjavik is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Amsterdam, Naples, Berlin, Athens].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, London, Santorini] and explore these options in order.\n           |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Athens to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Berlin to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Berlin to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Berlin to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 21 - 23).\n       |- The departure day of Athens is Day 11. The arrival day of Reykjavik is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Amsterdam, Naples, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Florence, London, Santorini] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Naples to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Naples to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Naples to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 21 - 23).\n     |- The departure day of Athens is Day 8. The arrival day of Reykjavik is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Amsterdam, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Florence, London, Santorini] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Athens to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 21 - 23).\n     |- The departure day of Florence is Day 9. The arrival day of Reykjavik is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Valencia, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Athens, London, Santorini] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 21 - 23).\n       |- The departure day of London is Day 11. The arrival day of Reykjavik is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Amsterdam, Florence, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Athens, Santorini] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 21 - 23).\n         |- The departure day of Berlin is Day 14. The arrival day of Reykjavik is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Amsterdam, Florence, London, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Athens, Santorini] and explore these options in order.\n           |- Try arranging to visit Naples from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Berlin to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Berlin to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 21 - 23).\n           |- The departure day of Athens is Day 17. The arrival day of Reykjavik is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Amsterdam, Florence, London, Berlin, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Santorini] and explore these options in order.\n             |- Try arranging to visit Naples from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Athens to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Athens to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Berlin to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 21 - 23).\n         |- The departure day of Naples is Day 14. The arrival day of Reykjavik is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Amsterdam, Florence, London, Naples].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Athens, Santorini] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Naples to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 21 - 23).\n           |- The departure day of Berlin is Day 17. The arrival day of Reykjavik is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Amsterdam, Florence, London, Naples, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Santorini] and explore these options in order.\n             |- Try arranging to visit Athens from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Berlin to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Reykjavik (Day 21 - 23).\n             |- The departure day of Athens is Day 20. The arrival day of Reykjavik is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Valencia, Amsterdam, Florence, London, Naples, Berlin, Athens].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Athens to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Berlin to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Athens from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Naples to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 21 - 23).\n           |- The departure day of Athens is Day 17. The arrival day of Reykjavik is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Amsterdam, Florence, London, Naples, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Santorini] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Athens to Berlin.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Athens to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Naples to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 21 - 23).\n         |- The departure day of Athens is Day 14. The arrival day of Reykjavik is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Amsterdam, Florence, London, Athens].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Santorini] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Athens to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Athens to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from London to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 21 - 23).\n         |- The departure day of Santorini is Day 15. The arrival day of Reykjavik is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Valencia, Amsterdam, Florence, London, Santorini].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Naples, Athens] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Santorini to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Santorini to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Reykjavik (Day 21 - 23).\n           |- The departure day of Naples is Day 18. The arrival day of Reykjavik is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Valencia, Amsterdam, Florence, London, Santorini, Naples].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Athens] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Naples to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Reykjavik (Day 21 - 23).\n             |- The departure day of Berlin is Day 21. The arrival day of Reykjavik is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Valencia, Amsterdam, Florence, London, Santorini, Naples, Berlin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Reykjavik.\n               |- Try arranging to visit Reykjavik from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Berlin to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Valencia, Amsterdam, Florence, London, Santorini, Naples, Berlin, Reykjavik].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n                 |- Try arranging to visit Athens from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Reykjavik to Athens.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Valencia, Amsterdam, Florence, London, Santorini, Naples, Berlin, Reykjavik, Athens].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Amsterdam.\n**Day 2-5:** Visit Amsterdam for 4 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to London.\n**Day 9-11:** Visit London for 3 days.\n**Day 11:** Fly from London to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Naples.\n**Day 15-18:** Visit Naples for 4 days.\n**Day 18:** Fly from Naples to Berlin.\n**Day 18-21:** Visit Berlin for 4 days.\n**Day 21:** Fly from Berlin to Reykjavik.\n**Day 21-23:** Visit Reykjavik for 3 days.\n**Day 23:** Fly from Reykjavik to Athens.\n**Day 23-26:** Visit Athens for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Edinburgh**Oslo**Vilnius**Vienna**Manchester**Madrid**Lyon**Split",
    "ground_truth_durations": "2**2**3**3**2**3**2**5**3",
    "num_cities": 9,
    "total_days": 17,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 8,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Madrid"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Dublin",
        "Madrid"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Dublin",
        "Vienna"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Dublin",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You plan to stay in Oslo for 3 days. You would like to visit Dublin for 2 days. You plan to stay in Split for 3 days. You want to spend 2 days in Edinburgh. During day 2 and day 3, you have to attend a conference in Edinburgh. You would like to visit Vienna for 2 days. You plan to stay in Lyon for 5 days. You plan to visit relatives in Lyon between day 11 and day 15. You want to spend 2 days in Madrid. You would like to meet your friends at Madrid between day 10 and day 11 to tour together. You would like to visit Manchester for 3 days. From day 8 to day 10, there is a annual show you want to attend in Manchester.\n\nHere are the cities that have direct flights:\nManchester and Madrid, Vienna and Split, Dublin and Madrid, Vienna and Manchester, Vilnius and Split, Oslo and Split, Oslo and Lyon, Oslo and Madrid, Lyon and Split, Dublin and Manchester, Edinburgh and Oslo, Madrid and Lyon, Oslo and Manchester, Vienna and Lyon, Oslo and Vienna, Vilnius and Vienna, Edinburgh and Madrid, Madrid and Split, Oslo and Vilnius, Vienna and Madrid, Dublin and Vienna, Dublin and Edinburgh, from Manchester to Split, Dublin and Oslo, Dublin and Lyon, Dublin and Split.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 17 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 3 days. You plan to stay in Oslo for 3 days. You would like to visit Dublin for 2 days. You plan to stay in Split for 3 days. You want to spend 2 days in Edinburgh. During day 2 and day 3, you have to attend a conference in Edinburgh. You would like to visit Vienna for 2 days. You plan to stay in Lyon for 5 days. You plan to visit relatives in Lyon between day 11 and day 15. You want to spend 2 days in Madrid. You would like to meet your friends at Madrid between day 10 and day 11 to tour together. You would like to visit Manchester for 3 days. From day 8 to day 10, there is a annual show you want to attend in Manchester.\n\nHere are the cities that have direct flights:\nfrom Manchester to Madrid, from Vienna to Split, from Dublin to Madrid, from Vienna to Manchester, from Vilnius to Split, from Oslo to Split, from Oslo to Lyon, from Oslo to Madrid, from Lyon to Split, from Dublin to Manchester, from Edinburgh to Oslo, from Madrid to Lyon, from Oslo to Manchester, from Vienna to Lyon, from Oslo to Vienna, from Vilnius to Vienna, from Edinburgh to Madrid, from Madrid to Split, from Oslo to Vilnius, from Vienna to Madrid, from Dublin to Vienna, from Dublin to Edinburgh, from Manchester to Split, from Dublin to Oslo, from Dublin to Lyon, from Dublin to Split.\n\nFind a trip plan of visiting the cities for 17 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 17 days:\n\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Vilnius.\n**Day 5-7:** Visit Vilnius for 3 days.\n**Day 7:** Fly from Vilnius to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Manchester.\n**Day 8-10:** Visit Manchester for 3 days.\n**Day 10:** Fly from Manchester to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Lyon.\n**Day 11-15:** Visit Lyon for 5 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-17:** Visit Split for 3 days.",
    "id": "trip_planning_example_1369",
    "estimated_output_tokens": 2635,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Vienna, Duration: 2 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 2 - 3.\n* City: Manchester, Fixed Schedule: Day 8 - 10.\n* City: Madrid, Fixed Schedule: Day 10 - 11.\n* City: Lyon, Fixed Schedule: Day 11 - 15.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Oslo, Dublin, Split, Vienna] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Vilnius is Day 3. The arrival day of Edinburgh is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Oslo is Day 3. The arrival day of Edinburgh is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Dublin is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dublin to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Manchester (Day 8 - 10).\n   |- The departure day of Edinburgh is Day 3. The arrival day of Manchester is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Dublin, Edinburgh].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Oslo, Split, Vienna] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Edinburgh to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Edinburgh to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 8 - 10).\n     |- The departure day of Oslo is Day 5. The arrival day of Manchester is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Dublin, Edinburgh, Oslo].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Split, Vienna] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Oslo to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 8 - 10).\n       |- The departure day of Vilnius is Day 7. The arrival day of Manchester is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dublin, Edinburgh, Oslo, Vilnius].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Vienna] and explore these options in order.\n         |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Vilnius to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 8 - 10).\n         |- The departure day of Split is Day 9. The arrival day of Manchester is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vienna from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Vilnius to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 8 - 10).\n         |- The departure day of Vienna is Day 8. The arrival day of Manchester is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Dublin, Edinburgh, Oslo, Vilnius, Vienna].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Vienna to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Madrid (Day 10 - 11).\n           |- The departure day of Manchester is Day 10. The arrival day of Madrid is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Dublin, Edinburgh, Oslo, Vilnius, Vienna, Manchester].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- Yes. The city with an arrival day of Day 10 - is fixed: Madrid.\n             |- Try arranging to visit Madrid from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n             |- Check for direct flight from Manchester to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 11 - 15).\n             |- The departure day of Madrid is Day 11. The arrival day of Lyon is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 11. Current plan: [Dublin, Edinburgh, Oslo, Vilnius, Vienna, Manchester, Madrid].\n              |- Check whether the city with an arrival day of Day 11 - is fixed.\n              |- Yes. The city with an arrival day of Day 11 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n               |- Check for direct flight from Madrid to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 15. Current plan: [Dublin, Edinburgh, Oslo, Vilnius, Vienna, Manchester, Madrid, Lyon].\n                |- Check whether the city with an arrival day of Day 15 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n                 |- Check for direct flight from Lyon to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Dublin, Edinburgh, Oslo, Vilnius, Vienna, Manchester, Madrid, Lyon, Split].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Vilnius.\n**Day 5-7:** Visit Vilnius for 3 days.\n**Day 7:** Fly from Vilnius to Vienna.\n**Day 7-8:** Visit Vienna for 2 days.\n**Day 8:** Fly from Vienna to Manchester.\n**Day 8-10:** Visit Manchester for 3 days.\n**Day 10:** Fly from Manchester to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Lyon.\n**Day 11-15:** Visit Lyon for 5 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-17:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Munich**Budapest**Paris**Split**Krakow**Amsterdam**Santorini**Geneva",
    "ground_truth_durations": "3**5**5**5**4**5**4**5**2",
    "num_cities": 9,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Krakow"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Budapest",
        "Amsterdam"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Budapest",
        "Paris"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Munich",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You would like to meet your friends at Santorini between day 25 and day 29 to tour together. You want to spend 5 days in Krakow. You are going to attend a wedding in Krakow between day 18 and day 22. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 11 and day 15. You plan to stay in Vilnius for 3 days. You plan to stay in Munich for 5 days. You would like to visit Geneva for 2 days. You plan to stay in Amsterdam for 4 days. You want to spend 5 days in Budapest. You want to spend 4 days in Split.\n\nHere are the cities that have direct flights:\nParis and Krakow, Paris and Amsterdam, Paris and Split, from Vilnius to Munich, Paris and Geneva, Amsterdam and Geneva, Munich and Split, Split and Krakow, Munich and Amsterdam, Budapest and Amsterdam, Split and Geneva, Vilnius and Split, Munich and Geneva, Munich and Krakow, from Krakow to Vilnius, Vilnius and Amsterdam, Budapest and Paris, Krakow and Amsterdam, Vilnius and Paris, Budapest and Geneva, Split and Amsterdam, Santorini and Geneva, Amsterdam and Santorini, Munich and Budapest, Munich and Paris.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Santorini. You would like to meet your friends at Santorini between day 25 and day 29 to tour together. You want to spend 5 days in Krakow. You are going to attend a wedding in Krakow between day 18 and day 22. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 11 and day 15. You plan to stay in Vilnius for 3 days. You plan to stay in Munich for 5 days. You would like to visit Geneva for 2 days. You plan to stay in Amsterdam for 4 days. You want to spend 5 days in Budapest. You want to spend 4 days in Split.\n\nHere are the cities that have direct flights:\nfrom Paris to Krakow, from Paris to Amsterdam, from Paris to Split, from Vilnius to Munich, from Paris to Geneva, from Amsterdam to Geneva, from Munich to Split, from Split to Krakow, from Munich to Amsterdam, from Budapest to Amsterdam, from Split to Geneva, from Vilnius to Split, from Munich to Geneva, from Munich to Krakow, from Krakow to Vilnius, from Vilnius to Amsterdam, from Budapest to Paris, from Krakow to Amsterdam, from Vilnius to Paris, from Budapest to Geneva, from Split to Amsterdam, from Santorini to Geneva, from Amsterdam to Santorini, from Munich to Budapest, from Munich to Paris.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 30 days:\n\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Munich.\n**Day 3-7:** Visit Munich for 5 days.\n**Day 7:** Fly from Munich to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Krakow.\n**Day 18-22:** Visit Krakow for 5 days.\n**Day 22:** Fly from Krakow to Amsterdam.\n**Day 22-25:** Visit Amsterdam for 4 days.\n**Day 25:** Fly from Amsterdam to Santorini.\n**Day 25-29:** Visit Santorini for 5 days.\n**Day 29:** Fly from Santorini to Geneva.\n**Day 29-30:** Visit Geneva for 2 days.",
    "id": "trip_planning_example_1370",
    "estimated_output_tokens": 3831,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Vilnius, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Split, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 11 - 15.\n* City: Krakow, Fixed Schedule: Day 18 - 22.\n* City: Santorini, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Munich, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Budapest, Duration: 5 days.\n* City: Split, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Munich, Geneva, Amsterdam, Budapest, Split] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 11 - 15).\n |- The departure day of Vilnius is Day 3. The arrival day of Paris is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Geneva, Amsterdam, Budapest, Split] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 11 - 15).\n   |- The departure day of Munich is Day 7. The arrival day of Paris is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Budapest, Split] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 15).\n     |- The departure day of Geneva is Day 8. The arrival day of Paris is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Munich, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Budapest, Split] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Munich to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 15).\n     |- The departure day of Amsterdam is Day 10. The arrival day of Paris is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Munich, Amsterdam].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Budapest, Split] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Amsterdam to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 11 - 15).\n       |- The departure day of Geneva is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Munich, Amsterdam, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Geneva to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Budapest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Amsterdam to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Amsterdam to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Munich to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 15).\n     |- The departure day of Budapest is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Vilnius, Munich, Budapest].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Budapest to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 18 - 22).\n       |- The departure day of Paris is Day 15. The arrival day of Krakow is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Vilnius, Munich, Budapest, Paris].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Split] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Paris to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Krakow (Day 18 - 22).\n         |- The departure day of Geneva is Day 16. The arrival day of Krakow is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Vilnius, Munich, Budapest, Paris, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Geneva to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Geneva to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Paris to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Krakow (Day 18 - 22).\n         |- The departure day of Amsterdam is Day 18. The arrival day of Krakow is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Vilnius, Munich, Budapest, Paris, Amsterdam].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Amsterdam to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Paris to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Krakow (Day 18 - 22).\n         |- The departure day of Split is Day 18. The arrival day of Krakow is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Vilnius, Munich, Budapest, Paris, Split].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Split to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 25 - 29).\n           |- The departure day of Krakow is Day 22. The arrival day of Santorini is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Vilnius, Munich, Budapest, Paris, Split, Krakow].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Krakow to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Krakow to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Santorini (Day 25 - 29).\n             |- The departure day of Amsterdam is Day 25. The arrival day of Santorini is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Vilnius, Munich, Budapest, Paris, Split, Krakow, Amsterdam].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Santorini.\n               |- Try arranging to visit Santorini from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Amsterdam to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Vilnius, Munich, Budapest, Paris, Split, Krakow, Amsterdam, Santorini].\n                |- Check whether the city with an arrival day of Day 29 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 29. Duration: 2 days. Schedule: Day 29 - 30.\n                 |- Check for direct flight from Santorini to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Vilnius, Munich, Budapest, Paris, Split, Krakow, Amsterdam, Santorini, Geneva].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Vilnius and visit Vilnius for 3 days.\n**Day 3:** Fly from Vilnius to Munich.\n**Day 3-7:** Visit Munich for 5 days.\n**Day 7:** Fly from Munich to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Paris.\n**Day 11-15:** Visit Paris for 5 days.\n**Day 15:** Fly from Paris to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Krakow.\n**Day 18-22:** Visit Krakow for 5 days.\n**Day 22:** Fly from Krakow to Amsterdam.\n**Day 22-25:** Visit Amsterdam for 4 days.\n**Day 25:** Fly from Amsterdam to Santorini.\n**Day 25-29:** Visit Santorini for 5 days.\n**Day 29:** Fly from Santorini to Geneva.\n**Day 29-30:** Visit Geneva for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Dubrovnik**Copenhagen**Porto**Hamburg**Edinburgh**Prague**Riga**Vilnius",
    "ground_truth_durations": "2**3**5**2**5**4**5**3**4",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You have to attend a workshop in Vilnius between day 22 and day 25. You plan to stay in Oslo for 2 days. You are going to attend a wedding in Oslo between day 1 and day 2. You want to spend 3 days in Dubrovnik. You want to spend 5 days in Copenhagen. You would like to visit Riga for 3 days. You want to spend 4 days in Edinburgh. You want to spend 5 days in Prague. You want to spend 5 days in Hamburg. You want to spend 2 days in Porto. You would like to meet your friends at Porto between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nDubrovnik and Copenhagen, Copenhagen and Riga, Porto and Hamburg, Edinburgh and Riga, Porto and Edinburgh, Oslo and Edinburgh, from Riga to Vilnius, Prague and Riga, Oslo and Vilnius, Edinburgh and Prague, Oslo and Prague, Oslo and Porto, Copenhagen and Vilnius, from Riga to Hamburg, Oslo and Hamburg, Oslo and Riga, Copenhagen and Prague, Oslo and Copenhagen, Copenhagen and Porto, Copenhagen and Hamburg, Copenhagen and Edinburgh, Oslo and Dubrovnik, Hamburg and Edinburgh.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Vilnius. You have to attend a workshop in Vilnius between day 22 and day 25. You plan to stay in Oslo for 2 days. You are going to attend a wedding in Oslo between day 1 and day 2. You want to spend 3 days in Dubrovnik. You want to spend 5 days in Copenhagen. You would like to visit Riga for 3 days. You want to spend 4 days in Edinburgh. You want to spend 5 days in Prague. You want to spend 5 days in Hamburg. You want to spend 2 days in Porto. You would like to meet your friends at Porto between day 8 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Copenhagen, from Copenhagen to Riga, from Porto to Hamburg, from Edinburgh to Riga, from Porto to Edinburgh, from Oslo to Edinburgh, from Riga to Vilnius, from Prague to Riga, from Oslo to Vilnius, from Edinburgh to Prague, from Oslo to Prague, from Oslo to Porto, from Copenhagen to Vilnius, from Riga to Hamburg, from Oslo to Hamburg, from Oslo to Riga, from Copenhagen to Prague, from Oslo to Copenhagen, from Copenhagen to Porto, from Copenhagen to Hamburg, from Copenhagen to Edinburgh, from Oslo to Dubrovnik, from Hamburg to Edinburgh.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Copenhagen.\n**Day 4-8:** Visit Copenhagen for 5 days.\n**Day 8:** Fly from Copenhagen to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Hamburg.\n**Day 9-13:** Visit Hamburg for 5 days.\n**Day 13:** Fly from Hamburg to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Prague.\n**Day 16-20:** Visit Prague for 5 days.\n**Day 20:** Fly from Prague to Riga.\n**Day 20-22:** Visit Riga for 3 days.\n**Day 22:** Fly from Riga to Vilnius.\n**Day 22-25:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1371",
    "estimated_output_tokens": 4327,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 1 - 2.\n* City: Porto, Fixed Schedule: Day 8 - 9.\n* City: Vilnius, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Oslo.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 8 - 9).\n |- The departure day of Oslo is Day 2. The arrival day of Porto is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Copenhagen, Riga, Edinburgh, Prague, Hamburg] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Oslo to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 8 - 9).\n   |- The departure day of Dubrovnik is Day 4. The arrival day of Porto is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Edinburgh, Prague, Hamburg] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dubrovnik to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 8 - 9).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Porto is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Oslo, Dubrovnik, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 22 - 25).\n       |- The departure day of Porto is Day 9. The arrival day of Vilnius is Day 22. Day 9 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Prague, Hamburg] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Porto to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Porto to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 22 - 25).\n         |- The departure day of Edinburgh is Day 12. The arrival day of Vilnius is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Hamburg] and explore these options in order.\n           |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Edinburgh to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 22 - 25).\n           |- The departure day of Riga is Day 14. The arrival day of Vilnius is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague, Hamburg] and explore these options in order.\n             |- Try arranging to visit Prague from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Prague.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 22 - 25).\n             |- The departure day of Hamburg is Day 18. The arrival day of Vilnius is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh, Riga, Hamburg].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n               |- Try arranging to visit Prague from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Hamburg to Prague.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Edinburgh to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 22 - 25).\n           |- The departure day of Prague is Day 16. The arrival day of Vilnius is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh, Prague].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Hamburg] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Prague to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 22 - 25).\n             |- The departure day of Riga is Day 18. The arrival day of Vilnius is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh, Prague, Riga].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Riga to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vilnius (Day 22 - 25).\n               |- The departure day of Hamburg is Day 22. The arrival day of Vilnius is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Edinburgh, Prague, Riga, Hamburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Hamburg to Vilnius.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Prague to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Edinburgh to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Porto to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Porto to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 22 - 25).\n         |- The departure day of Hamburg is Day 13. The arrival day of Vilnius is Day 22. Day 13 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Prague] and explore these options in order.\n           |- Try arranging to visit Riga from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Hamburg to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Hamburg to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 22 - 25).\n           |- The departure day of Edinburgh is Day 16. The arrival day of Vilnius is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg, Edinburgh].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Prague] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Edinburgh to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 22 - 25).\n             |- The departure day of Riga is Day 18. The arrival day of Vilnius is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg, Edinburgh, Riga].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n               |- Try arranging to visit Prague from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Riga to Prague.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Prague from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Edinburgh to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 22 - 25).\n             |- The departure day of Prague is Day 20. The arrival day of Vilnius is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg, Edinburgh, Prague].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n               |- Try arranging to visit Riga from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Prague to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 22 - 25).\n               |- The departure day of Riga is Day 22. The arrival day of Vilnius is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg, Edinburgh, Prague, Riga].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Riga to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Oslo, Dubrovnik, Copenhagen, Porto, Hamburg, Edinburgh, Prague, Riga, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Dubrovnik.\n**Day 2-4:** Visit Dubrovnik for 3 days.\n**Day 4:** Fly from Dubrovnik to Copenhagen.\n**Day 4-8:** Visit Copenhagen for 5 days.\n**Day 8:** Fly from Copenhagen to Porto.\n**Day 8-9:** Visit Porto for 2 days.\n**Day 9:** Fly from Porto to Hamburg.\n**Day 9-13:** Visit Hamburg for 5 days.\n**Day 13:** Fly from Hamburg to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Prague.\n**Day 16-20:** Visit Prague for 5 days.\n**Day 20:** Fly from Prague to Riga.\n**Day 20-22:** Visit Riga for 3 days.\n**Day 22:** Fly from Riga to Vilnius.\n**Day 22-25:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Reykjavik**Rome**Mykonos**Milan**Naples**Bucharest**Amsterdam**Florence",
    "ground_truth_durations": "3**4**2**4**2**2**3**3**5",
    "num_cities": 9,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Copenhagen",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You plan to stay in Bucharest for 3 days. You want to spend 5 days in Florence. You plan to stay in Rome for 2 days. You would like to visit Naples for 2 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 10 and day 11. You plan to stay in Reykjavik for 4 days. From day 3 to day 6, there is a annual show you want to attend in Reykjavik. You would like to visit Mykonos for 4 days. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nRome and Bucharest, Copenhagen and Bucharest, Naples and Amsterdam, Milan and Amsterdam, Reykjavik and Rome, Reykjavik and Amsterdam, Mykonos and Naples, Copenhagen and Rome, Copenhagen and Reykjavik, Bucharest and Amsterdam, Rome and Amsterdam, Copenhagen and Amsterdam, Naples and Bucharest, Copenhagen and Milan, Mykonos and Amsterdam, Reykjavik and Milan, Rome and Mykonos, Amsterdam and Florence, Milan and Naples, Rome and Naples, Mykonos and Milan, Copenhagen and Naples.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Amsterdam. You plan to stay in Bucharest for 3 days. You want to spend 5 days in Florence. You plan to stay in Rome for 2 days. You would like to visit Naples for 2 days. You plan to stay in Milan for 2 days. You are going to attend a wedding in Milan between day 10 and day 11. You plan to stay in Reykjavik for 4 days. From day 3 to day 6, there is a annual show you want to attend in Reykjavik. You would like to visit Mykonos for 4 days. You plan to stay in Copenhagen for 3 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Bucharest, from Copenhagen to Bucharest, from Naples to Amsterdam, from Milan to Amsterdam, from Reykjavik to Rome, from Reykjavik to Amsterdam, from Mykonos to Naples, from Copenhagen to Rome, from Copenhagen to Reykjavik, from Bucharest to Amsterdam, from Rome to Amsterdam, from Copenhagen to Amsterdam, from Naples to Bucharest, from Copenhagen to Milan, from Mykonos to Amsterdam, from Reykjavik to Milan, from Rome to Mykonos, from Amsterdam to Florence, from Milan to Naples, from Rome to Naples, from Mykonos to Milan, from Copenhagen to Naples.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 20 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n**Day 14:** Fly from Bucharest to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Florence.\n**Day 16-20:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1372",
    "estimated_output_tokens": 8162,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Mykonos, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 3 - 6.\n* City: Milan, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Rome, Naples, Mykonos, Copenhagen] and explore these options in order.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Amsterdam is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Bucharest is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Florence is Day 5. The arrival day of Reykjavik is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Rome is Day 2. The arrival day of Reykjavik is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Naples, Mykonos, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Bucharest is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Rome to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Naples is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Rome, Naples].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Naples to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Mykonos is Day 5. The arrival day of Reykjavik is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Naples is Day 2. The arrival day of Reykjavik is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Rome, Mykonos, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 3 - 6).\n   |- The departure day of Bucharest is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Naples to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Naples to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Naples to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Mykonos is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Copenhagen is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 10 - 11).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Milan is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Rome, Naples, Mykonos] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 10 - 11).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Milan is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Reykjavik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence, Rome, Naples, Mykonos] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n       |- The departure day of Florence is Day 12. The arrival day of Milan is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Amsterdam to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Amsterdam to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Reykjavik to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Reykjavik to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 10 - 11).\n     |- The departure day of Rome is Day 7. The arrival day of Milan is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Reykjavik, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Naples, Mykonos] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 10 - 11).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Milan is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Copenhagen, Reykjavik, Rome, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence, Naples, Mykonos] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Amsterdam to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 10 - 11).\n         |- The departure day of Florence is Day 13. The arrival day of Milan is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Amsterdam to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Amsterdam to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Rome to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 10 - 11).\n       |- The departure day of Bucharest is Day 9. The arrival day of Milan is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Copenhagen, Reykjavik, Rome, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Florence, Naples, Mykonos] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 10 - 11).\n         |- The departure day of Amsterdam is Day 11. The arrival day of Milan is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Bucharest to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Bucharest to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 10 - 11).\n       |- The departure day of Naples is Day 8. The arrival day of Milan is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Copenhagen, Reykjavik, Rome, Naples].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Mykonos] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Naples to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n         |- The departure day of Amsterdam is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Copenhagen, Reykjavik, Rome, Naples, Amsterdam].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Amsterdam to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Naples to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 10 - 11).\n         |- The departure day of Bucharest is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Copenhagen, Reykjavik, Rome, Naples, Bucharest].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Bucharest to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Naples to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 10 - 11).\n       |- The departure day of Mykonos is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Mykonos to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence, Naples] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Milan to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Amsterdam].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence, Naples] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Amsterdam to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Amsterdam to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Amsterdam, Florence].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Florence to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Florence to Naples.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Amsterdam to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Milan to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Milan to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Milan to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Florence] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Naples to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples, Amsterdam].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Amsterdam to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Amsterdam to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples, Amsterdam, Florence].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Florence to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Naples to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples, Bucharest].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Amsterdam, Florence] and explore these options in order.\n               |- Try arranging to visit Amsterdam from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Bucharest to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples, Bucharest, Amsterdam].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n                 |- Check for direct flight from Amsterdam to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Copenhagen, Reykjavik, Rome, Mykonos, Milan, Naples, Bucharest, Amsterdam, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Mykonos.\n**Day 7-10:** Visit Mykonos for 4 days.\n**Day 10:** Fly from Mykonos to Milan.\n**Day 10-11:** Visit Milan for 2 days.\n**Day 11:** Fly from Milan to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n**Day 14:** Fly from Bucharest to Amsterdam.\n**Day 14-16:** Visit Amsterdam for 3 days.\n**Day 16:** Fly from Amsterdam to Florence.\n**Day 16-20:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Budapest**Milan**Athens**Naples**Amsterdam**Florence**Munich**Tallinn",
    "ground_truth_durations": "5**3**4**4**5**2**4**3**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Budapest",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 4 days. You want to spend 5 days in Copenhagen. You plan to stay in Munich for 3 days. From day 21 to day 23, there is a annual show you want to attend in Munich. You plan to stay in Amsterdam for 2 days. You would like to visit Budapest for 3 days. You plan to visit relatives in Budapest between day 5 and day 7. You plan to stay in Florence for 4 days. You would like to visit Athens for 4 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 13 and day 17. You would like to visit Milan for 4 days. You have to attend a workshop in Milan between day 7 and day 10.\n\nHere are the cities that have direct flights:\nCopenhagen and Milan, Copenhagen and Naples, Milan and Amsterdam, Copenhagen and Athens, Copenhagen and Munich, Budapest and Naples, Milan and Athens, Amsterdam and Munich, Munich and Tallinn, Copenhagen and Budapest, Naples and Munich, Budapest and Milan, Athens and Amsterdam, from Florence to Munich, Amsterdam and Florence, Athens and Naples, Milan and Naples, Athens and Munich, Naples and Amsterdam, Milan and Munich, Budapest and Amsterdam, Amsterdam and Tallinn, Budapest and Munich, Copenhagen and Tallinn, Copenhagen and Amsterdam.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Tallinn for 4 days. You want to spend 5 days in Copenhagen. You plan to stay in Munich for 3 days. From day 21 to day 23, there is a annual show you want to attend in Munich. You plan to stay in Amsterdam for 2 days. You would like to visit Budapest for 3 days. You plan to visit relatives in Budapest between day 5 and day 7. You plan to stay in Florence for 4 days. You would like to visit Athens for 4 days. You plan to stay in Naples for 5 days. You want to meet a friend in Naples between day 13 and day 17. You would like to visit Milan for 4 days. You have to attend a workshop in Milan between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Milan, from Copenhagen to Naples, from Milan to Amsterdam, from Copenhagen to Athens, from Copenhagen to Munich, from Budapest to Naples, from Milan to Athens, from Amsterdam to Munich, from Munich to Tallinn, from Copenhagen to Budapest, from Naples to Munich, from Budapest to Milan, from Athens to Amsterdam, from Florence to Munich, from Amsterdam to Florence, from Athens to Naples, from Milan to Naples, from Athens to Munich, from Naples to Amsterdam, from Milan to Munich, from Budapest to Amsterdam, from Amsterdam to Tallinn, from Budapest to Munich, from Copenhagen to Tallinn, from Copenhagen to Amsterdam.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.\n**Day 18:** Fly from Amsterdam to Florence.\n**Day 18-21:** Visit Florence for 4 days.\n**Day 21:** Fly from Florence to Munich.\n**Day 21-23:** Visit Munich for 3 days.\n**Day 23:** Fly from Munich to Tallinn.\n**Day 23-26:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1373",
    "estimated_output_tokens": 3517,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Amsterdam, Duration: 2 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Florence, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 5 - 7.\n* City: Milan, Fixed Schedule: Day 7 - 10.\n* City: Naples, Fixed Schedule: Day 13 - 17.\n* City: Munich, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Athens, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Amsterdam, Florence, Athens] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Tallinn is Day 4. The arrival day of Budapest is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Amsterdam, Florence, Athens] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Tallinn to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Tallinn to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 5 - 7).\n |- The departure day of Copenhagen is Day 5. The arrival day of Budapest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Copenhagen to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 7 - 10).\n   |- The departure day of Budapest is Day 7. The arrival day of Milan is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Budapest to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 13 - 17).\n     |- The departure day of Milan is Day 10. The arrival day of Naples is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Budapest, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Amsterdam, Florence, Athens] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 13 - 17).\n       |- The departure day of Amsterdam is Day 11. The arrival day of Naples is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Budapest, Milan, Amsterdam].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Athens] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 13 - 17).\n         |- The departure day of Tallinn is Day 14. The arrival day of Naples is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 13 - 17).\n         |- The departure day of Florence is Day 14. The arrival day of Naples is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Athens from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Athens.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 13 - 17).\n       |- The departure day of Athens is Day 13. The arrival day of Naples is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Budapest, Milan, Athens].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Naples.\n         |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Athens to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Munich (Day 21 - 23).\n         |- The departure day of Naples is Day 17. The arrival day of Munich is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Amsterdam, Florence] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Naples to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Naples to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Munich (Day 21 - 23).\n           |- The departure day of Amsterdam is Day 18. The arrival day of Munich is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples, Amsterdam].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Amsterdam to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Munich (Day 21 - 23).\n             |- The departure day of Tallinn is Day 21. The arrival day of Munich is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples, Amsterdam, Tallinn].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Tallinn to Munich.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Florence from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Amsterdam to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Munich (Day 21 - 23).\n             |- The departure day of Florence is Day 21. The arrival day of Munich is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples, Amsterdam, Florence].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Florence to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples, Amsterdam, Florence, Munich].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Munich to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Copenhagen, Budapest, Milan, Athens, Naples, Amsterdam, Florence, Munich, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Milan.\n**Day 7-10:** Visit Milan for 4 days.\n**Day 10:** Fly from Milan to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Amsterdam.\n**Day 17-18:** Visit Amsterdam for 2 days.\n**Day 18:** Fly from Amsterdam to Florence.\n**Day 18-21:** Visit Florence for 4 days.\n**Day 21:** Fly from Florence to Munich.\n**Day 21-23:** Visit Munich for 3 days.\n**Day 23:** Fly from Munich to Tallinn.\n**Day 23-26:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Krakow**Paris**Reykjavik**London**Helsinki**Berlin**Porto**Seville",
    "ground_truth_durations": "4**4**2**4**3**2**2**5**3",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "London"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Paris",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 14 and day 15. You want to spend 4 days in Edinburgh. You would like to meet your friends at Edinburgh between day 1 and day 4 to tour together. You plan to stay in London for 3 days. You want to meet a friend in London between day 11 and day 13. You want to spend 5 days in Porto. You would like to visit Seville for 3 days. You want to spend 2 days in Helsinki. You plan to visit relatives in Helsinki between day 13 and day 14. You would like to visit Krakow for 4 days. You would like to visit Paris for 2 days.\n\nHere are the cities that have direct flights:\nKrakow and London, Krakow and Paris, Reykjavik and London, Krakow and Helsinki, Edinburgh and Berlin, Edinburgh and Krakow, Helsinki and Berlin, Edinburgh and Helsinki, Paris and Helsinki, Edinburgh and Seville, Edinburgh and Paris, Reykjavik and Helsinki, Paris and Reykjavik, Porto and Seville, Berlin and Porto, Paris and London, London and Berlin, London and Helsinki, Krakow and Berlin, Reykjavik and Berlin, Paris and Porto, Edinburgh and Porto, Edinburgh and London, Paris and Seville, Paris and Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Reykjavik for 4 days. You want to spend 2 days in Berlin. You are going to attend a wedding in Berlin between day 14 and day 15. You want to spend 4 days in Edinburgh. You would like to meet your friends at Edinburgh between day 1 and day 4 to tour together. You plan to stay in London for 3 days. You want to meet a friend in London between day 11 and day 13. You want to spend 5 days in Porto. You would like to visit Seville for 3 days. You want to spend 2 days in Helsinki. You plan to visit relatives in Helsinki between day 13 and day 14. You would like to visit Krakow for 4 days. You would like to visit Paris for 2 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to London, from Krakow to Paris, from Reykjavik to London, from Krakow to Helsinki, from Edinburgh to Berlin, from Edinburgh to Krakow, from Helsinki to Berlin, from Edinburgh to Helsinki, from Paris to Helsinki, from Edinburgh to Seville, from Edinburgh to Paris, from Reykjavik to Helsinki, from Paris to Reykjavik, from Porto to Seville, from Berlin to Porto, from Paris to London, from London to Berlin, from London to Helsinki, from Krakow to Berlin, from Reykjavik to Berlin, from Paris to Porto, from Edinburgh to Porto, from Edinburgh to London, from Paris to Seville, from Paris to Berlin.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Krakow.\n**Day 4-7:** Visit Krakow for 4 days.\n**Day 7:** Fly from Krakow to Paris.\n**Day 7-8:** Visit Paris for 2 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to London.\n**Day 11-13:** Visit London for 3 days.\n**Day 13:** Fly from London to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.\n**Day 14:** Fly from Helsinki to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Porto.\n**Day 15-19:** Visit Porto for 5 days.\n**Day 19:** Fly from Porto to Seville.\n**Day 19-21:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1374",
    "estimated_output_tokens": 3603,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: London, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Porto, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Krakow, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 4.\n* City: London, Fixed Schedule: Day 11 - 13.\n* City: Helsinki, Fixed Schedule: Day 13 - 14.\n* City: Berlin, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Porto, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Paris, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 11 - 13).\n |- The departure day of Edinburgh is Day 4. The arrival day of London is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Seville, Krakow, Paris] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 11 - 13).\n   |- The departure day of Porto is Day 8. The arrival day of London is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Porto].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Krakow, Paris] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Porto to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Porto to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 11 - 13).\n     |- The departure day of Seville is Day 10. The arrival day of London is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Edinburgh, Porto, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Krakow, Paris] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Seville to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Porto to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Porto to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Edinburgh to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 11 - 13).\n   |- The departure day of Seville is Day 6. The arrival day of London is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Edinburgh, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Krakow, Paris] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Seville to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 11 - 13).\n   |- The departure day of Krakow is Day 7. The arrival day of London is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Seville, Paris] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Krakow to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Krakow to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Krakow to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Krakow to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 11 - 13).\n     |- The departure day of Paris is Day 8. The arrival day of London is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Krakow, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Seville] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 11 - 13).\n       |- The departure day of Reykjavik is Day 11. The arrival day of London is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Krakow, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: London.\n         |- Try arranging to visit London from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 13 - 14).\n         |- The departure day of London is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Edinburgh, Krakow, Paris, Reykjavik, London].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n           |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from London to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Berlin (Day 14 - 15).\n           |- The departure day of Helsinki is Day 14. The arrival day of Berlin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Edinburgh, Krakow, Paris, Reykjavik, London, Helsinki].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Berlin.\n             |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Helsinki to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Edinburgh, Krakow, Paris, Reykjavik, London, Helsinki, Berlin].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto, Seville] and explore these options in order.\n               |- Try arranging to visit Porto from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Berlin to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Edinburgh, Krakow, Paris, Reykjavik, London, Helsinki, Berlin, Porto].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Porto to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Edinburgh, Krakow, Paris, Reykjavik, London, Helsinki, Berlin, Porto, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Krakow.\n**Day 4-7:** Visit Krakow for 4 days.\n**Day 7:** Fly from Krakow to Paris.\n**Day 7-8:** Visit Paris for 2 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to London.\n**Day 11-13:** Visit London for 3 days.\n**Day 13:** Fly from London to Helsinki.\n**Day 13-14:** Visit Helsinki for 2 days.\n**Day 14:** Fly from Helsinki to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Porto.\n**Day 15-19:** Visit Porto for 5 days.\n**Day 19:** Fly from Porto to Seville.\n**Day 19-21:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Bucharest**Riga**Hamburg**London**Milan**Krakow**Zurich**Reykjavik",
    "ground_truth_durations": "5**5**3**2**3**4**3**3**2",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Hamburg",
        "Milan"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Zurich",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 5 days. You want to spend 2 days in Reykjavik. You would like to visit Bucharest for 5 days. You plan to stay in Krakow for 3 days. You want to meet a friend in Krakow between day 17 and day 19. You plan to stay in Zurich for 3 days. You have to attend a workshop in Zurich between day 19 and day 21. You would like to visit London for 3 days. You would like to meet your friends at London between day 12 and day 14 to tour together. You plan to stay in Milan for 4 days. You would like to visit Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 11 and day 12. You want to spend 3 days in Riga.\n\nHere are the cities that have direct flights:\nBucharest and Hamburg, Milan and Reykjavik, London and Milan, Riga and Zurich, London and Zurich, Milan and Zurich, Naples and Zurich, London and Reykjavik, Bucharest and London, Naples and Milan, London and Krakow, Hamburg and London, Hamburg and Milan, Naples and Bucharest, Riga and Milan, Milan and Krakow, from Riga to Hamburg, Bucharest and Zurich, Naples and London, Bucharest and Riga, Krakow and Zurich, Hamburg and Zurich, Zurich and Reykjavik.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 5 days. You want to spend 2 days in Reykjavik. You would like to visit Bucharest for 5 days. You plan to stay in Krakow for 3 days. You want to meet a friend in Krakow between day 17 and day 19. You plan to stay in Zurich for 3 days. You have to attend a workshop in Zurich between day 19 and day 21. You would like to visit London for 3 days. You would like to meet your friends at London between day 12 and day 14 to tour together. You plan to stay in Milan for 4 days. You would like to visit Hamburg for 2 days. You are going to attend a wedding in Hamburg between day 11 and day 12. You want to spend 3 days in Riga.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Hamburg, from Milan to Reykjavik, from London to Milan, from Riga to Zurich, from London to Zurich, from Milan to Zurich, from Naples to Zurich, from London to Reykjavik, from Bucharest to London, from Naples to Milan, from London to Krakow, from Hamburg to London, from Hamburg to Milan, from Naples to Bucharest, from Riga to Milan, from Milan to Krakow, from Riga to Hamburg, from Bucharest to Zurich, from Naples to London, from Bucharest to Riga, from Krakow to Zurich, from Hamburg to Zurich, from Zurich to Reykjavik.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-12:** Visit Hamburg for 2 days.\n**Day 12:** Fly from Hamburg to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Milan.\n**Day 14-17:** Visit Milan for 4 days.\n**Day 17:** Fly from Milan to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.\n**Day 19:** Fly from Krakow to Zurich.\n**Day 19-21:** Visit Zurich for 3 days.\n**Day 21:** Fly from Zurich to Reykjavik.\n**Day 21-22:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1375",
    "estimated_output_tokens": 2742,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: London, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Milan, Duration: 4 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 11 - 12.\n* City: London, Fixed Schedule: Day 12 - 14.\n* City: Krakow, Fixed Schedule: Day 17 - 19.\n* City: Zurich, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Naples, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Reykjavik, Bucharest, Milan, Riga] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 11 - 12).\n |- The departure day of Naples is Day 5. The arrival day of Hamburg is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Bucharest, Milan, Riga] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Naples to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Naples to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Hamburg (Day 11 - 12).\n   |- The departure day of Bucharest is Day 9. The arrival day of Hamburg is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Naples, Bucharest].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan, Riga] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Bucharest to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Bucharest to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Bucharest to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Hamburg (Day 11 - 12).\n     |- The departure day of Riga is Day 11. The arrival day of Hamburg is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Naples, Bucharest, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Riga to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: London (Day 12 - 14).\n       |- The departure day of Hamburg is Day 12. The arrival day of London is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Bucharest, Riga, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: London.\n         |- Try arranging to visit London from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 17 - 19).\n         |- The departure day of London is Day 14. The arrival day of Krakow is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Naples, Bucharest, Riga, Hamburg, London].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from London to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 17 - 19).\n           |- The departure day of Reykjavik is Day 15. The arrival day of Krakow is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Naples, Bucharest, Riga, Hamburg, London, Reykjavik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n             |- Try arranging to visit Milan from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Reykjavik to Milan.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Milan from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from London to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 17 - 19).\n           |- The departure day of Milan is Day 17. The arrival day of Krakow is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Naples, Bucharest, Riga, Hamburg, London, Milan].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Milan to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Zurich (Day 19 - 21).\n             |- The departure day of Krakow is Day 19. The arrival day of Zurich is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Naples, Bucharest, Riga, Hamburg, London, Milan, Krakow].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Zurich.\n               |- Try arranging to visit Zurich from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Krakow to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Naples, Bucharest, Riga, Hamburg, London, Milan, Krakow, Zurich].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Zurich to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Naples, Bucharest, Riga, Hamburg, London, Milan, Krakow, Zurich, Reykjavik].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Bucharest.\n**Day 5-9:** Visit Bucharest for 5 days.\n**Day 9:** Fly from Bucharest to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-12:** Visit Hamburg for 2 days.\n**Day 12:** Fly from Hamburg to London.\n**Day 12-14:** Visit London for 3 days.\n**Day 14:** Fly from London to Milan.\n**Day 14-17:** Visit Milan for 4 days.\n**Day 17:** Fly from Milan to Krakow.\n**Day 17-19:** Visit Krakow for 3 days.\n**Day 19:** Fly from Krakow to Zurich.\n**Day 19-21:** Visit Zurich for 3 days.\n**Day 21:** Fly from Zurich to Reykjavik.\n**Day 21-22:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Budapest**Reykjavik**Stockholm**Split**Naples**Bucharest**Zurich**Florence",
    "ground_truth_durations": "5**4**5**5**3**5**4**2**4",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 25,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Naples"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Madrid",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You want to spend 3 days in Split. During day 16 and day 18, you have to attend a conference in Split. You would like to visit Madrid for 5 days. You want to meet a friend in Madrid between day 1 and day 5. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 25 and day 26. You would like to visit Budapest for 4 days. You want to spend 5 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 12. You would like to visit Stockholm for 5 days. You want to spend 4 days in Florence. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nBudapest and Naples, Split and Naples, Split and Zurich, from Reykjavik to Madrid, Reykjavik and Stockholm, Madrid and Bucharest, Stockholm and Zurich, Madrid and Zurich, Naples and Bucharest, Budapest and Reykjavik, Madrid and Budapest, Madrid and Split, from Zurich to Florence, Stockholm and Split, Madrid and Florence, Madrid and Naples, Reykjavik and Zurich, Budapest and Bucharest, Bucharest and Zurich, Naples and Zurich, Budapest and Zurich, Madrid and Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You want to spend 3 days in Split. During day 16 and day 18, you have to attend a conference in Split. You would like to visit Madrid for 5 days. You want to meet a friend in Madrid between day 1 and day 5. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 25 and day 26. You would like to visit Budapest for 4 days. You want to spend 5 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 12. You would like to visit Stockholm for 5 days. You want to spend 4 days in Florence. You want to spend 5 days in Naples.\n\nHere are the cities that have direct flights:\nfrom Budapest to Naples, from Split to Naples, from Split to Zurich, from Reykjavik to Madrid, from Reykjavik to Stockholm, from Madrid to Bucharest, from Stockholm to Zurich, from Madrid to Zurich, from Naples to Bucharest, from Budapest to Reykjavik, from Madrid to Budapest, from Madrid to Split, from Zurich to Florence, from Stockholm to Split, from Madrid to Florence, from Madrid to Naples, from Reykjavik to Zurich, from Budapest to Bucharest, from Bucharest to Zurich, from Naples to Zurich, from Budapest to Zurich, from Madrid to Stockholm.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Stockholm.\n**Day 12-16:** Visit Stockholm for 5 days.\n**Day 16:** Fly from Stockholm to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Naples.\n**Day 18-22:** Visit Naples for 5 days.\n**Day 22:** Fly from Naples to Bucharest.\n**Day 22-25:** Visit Bucharest for 4 days.\n**Day 25:** Fly from Bucharest to Zurich.\n**Day 25-26:** Visit Zurich for 2 days.\n**Day 26:** Fly from Zurich to Florence.\n**Day 26-29:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1376",
    "estimated_output_tokens": 2706,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 4 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 25 - 26.\n* City: Budapest, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Stockholm, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Naples, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Fixed Schedule: Day 8 - 12.\n* City: Split, Fixed Schedule: Day 16 - 18.\n* City: Zurich, Fixed Schedule: Day 25 - 26.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Budapest, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Florence, Duration: 4 days.\n* City: Naples, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 12).\n |- The departure day of Madrid is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Budapest, Stockholm, Florence, Naples] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 12).\n   |- The departure day of Bucharest is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Bucharest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Bucharest to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Madrid to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 12).\n   |- The departure day of Budapest is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Madrid, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Budapest to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 16 - 18).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Split is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Madrid, Budapest, Reykjavik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Stockholm, Florence, Naples] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Reykjavik to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Reykjavik to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 16 - 18).\n       |- The departure day of Stockholm is Day 16. The arrival day of Split is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Madrid, Budapest, Reykjavik, Stockholm].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Split.\n         |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Stockholm to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Zurich (Day 25 - 26).\n         |- The departure day of Split is Day 18. The arrival day of Zurich is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Madrid, Budapest, Reykjavik, Stockholm, Split].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence, Naples] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Split to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Split to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Split to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Zurich (Day 25 - 26).\n           |- The departure day of Naples is Day 22. The arrival day of Zurich is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Madrid, Budapest, Reykjavik, Stockholm, Split, Naples].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Florence] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Naples to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Zurich (Day 25 - 26).\n             |- The departure day of Bucharest is Day 25. The arrival day of Zurich is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Madrid, Budapest, Reykjavik, Stockholm, Split, Naples, Bucharest].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Zurich.\n               |- Try arranging to visit Zurich from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Bucharest to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Madrid, Budapest, Reykjavik, Stockholm, Split, Naples, Bucharest, Zurich].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                 |- Check for direct flight from Zurich to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Madrid, Budapest, Reykjavik, Stockholm, Split, Naples, Bucharest, Zurich, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Budapest.\n**Day 5-8:** Visit Budapest for 4 days.\n**Day 8:** Fly from Budapest to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Stockholm.\n**Day 12-16:** Visit Stockholm for 5 days.\n**Day 16:** Fly from Stockholm to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Naples.\n**Day 18-22:** Visit Naples for 5 days.\n**Day 22:** Fly from Naples to Bucharest.\n**Day 22-25:** Visit Bucharest for 4 days.\n**Day 25:** Fly from Bucharest to Zurich.\n**Day 25-26:** Visit Zurich for 2 days.\n**Day 26:** Fly from Zurich to Florence.\n**Day 26-29:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Dublin**Krakow**Warsaw**Reykjavik**Lisbon**Lyon**Frankfurt**Salzburg",
    "ground_truth_durations": "4**4**4**5**5**5**3**5**2",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 28,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Lisbon"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Dublin",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Salzburg. You would like to meet your friends at Salzburg between day 28 and day 29 to tour together. You want to spend 5 days in Warsaw. You plan to stay in Dublin for 4 days. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 7 and day 10. You plan to stay in Lisbon for 5 days. During day 18 and day 22, you have to attend a conference in Lisbon. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Lyon. You plan to stay in Dubrovnik for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dubrovnik. You plan to stay in Reykjavik for 5 days.\n\nHere are the cities that have direct flights:\nWarsaw and Lisbon, Krakow and Lisbon, Lisbon and Lyon, Frankfurt and Salzburg, Dubrovnik and Dublin, Dubrovnik and Frankfurt, Lisbon and Frankfurt, Warsaw and Frankfurt, Reykjavik and Frankfurt, Lyon and Frankfurt, Krakow and Warsaw, Dublin and Reykjavik, Dublin and Krakow, Reykjavik and Lisbon, Krakow and Frankfurt, Warsaw and Reykjavik, Dublin and Lisbon, Dublin and Lyon, Dublin and Frankfurt.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Salzburg. You would like to meet your friends at Salzburg between day 28 and day 29 to tour together. You want to spend 5 days in Warsaw. You plan to stay in Dublin for 4 days. You want to spend 4 days in Krakow. You plan to visit relatives in Krakow between day 7 and day 10. You plan to stay in Lisbon for 5 days. During day 18 and day 22, you have to attend a conference in Lisbon. You would like to visit Frankfurt for 5 days. You want to spend 3 days in Lyon. You plan to stay in Dubrovnik for 4 days. From day 1 to day 4, there is a annual show you want to attend in Dubrovnik. You plan to stay in Reykjavik for 5 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Lisbon, from Krakow to Lisbon, from Lisbon to Lyon, from Frankfurt to Salzburg, from Dubrovnik to Dublin, from Dubrovnik to Frankfurt, from Lisbon to Frankfurt, from Warsaw to Frankfurt, from Reykjavik to Frankfurt, from Lyon to Frankfurt, from Krakow to Warsaw, from Dublin to Reykjavik, from Dublin to Krakow, from Reykjavik to Lisbon, from Krakow to Frankfurt, from Warsaw to Reykjavik, from Dublin to Lisbon, from Dublin to Lyon, from Dublin to Frankfurt.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Krakow.\n**Day 7-10:** Visit Krakow for 4 days.\n**Day 10:** Fly from Krakow to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Lisbon.\n**Day 18-22:** Visit Lisbon for 5 days.\n**Day 22:** Fly from Lisbon to Lyon.\n**Day 22-24:** Visit Lyon for 3 days.\n**Day 24:** Fly from Lyon to Frankfurt.\n**Day 24-28:** Visit Frankfurt for 5 days.\n**Day 28:** Fly from Frankfurt to Salzburg.\n**Day 28-29:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1377",
    "estimated_output_tokens": 2984,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 2 days, Fixed Schedule: Day 28 - 29.\n* City: Warsaw, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Frankfurt, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Fixed Schedule: Day 7 - 10.\n* City: Lisbon, Fixed Schedule: Day 18 - 22.\n* City: Salzburg, Fixed Schedule: Day 28 - 29.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Dublin, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 10).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Krakow is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Dublin, Frankfurt, Lyon, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 7 - 10).\n   |- The departure day of Dublin is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Dubrovnik, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dublin to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 18 - 22).\n     |- The departure day of Krakow is Day 10. The arrival day of Lisbon is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Dublin, Krakow].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Frankfurt, Lyon, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Krakow to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 18 - 22).\n       |- The departure day of Warsaw is Day 14. The arrival day of Lisbon is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Warsaw to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lisbon (Day 18 - 22).\n         |- The departure day of Frankfurt is Day 18. The arrival day of Lisbon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Frankfurt].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Frankfurt to Lisbon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Warsaw to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Warsaw to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lisbon (Day 18 - 22).\n         |- The departure day of Reykjavik is Day 18. The arrival day of Lisbon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Reykjavik to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Salzburg (Day 28 - 29).\n           |- The departure day of Lisbon is Day 22. The arrival day of Salzburg is Day 28. Day 22 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik, Lisbon].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Lyon] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Lisbon to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Salzburg (Day 28 - 29).\n             |- The departure day of Frankfurt is Day 26. The arrival day of Salzburg is Day 28. Day 26 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik, Lisbon, Frankfurt].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n               |- Check for direct flight from Frankfurt to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Lisbon to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Salzburg (Day 28 - 29).\n             |- The departure day of Lyon is Day 24. The arrival day of Salzburg is Day 28. Day 24 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik, Lisbon, Lyon].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Lyon to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Salzburg (Day 28 - 29).\n               |- The departure day of Frankfurt is Day 28. The arrival day of Salzburg is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik, Lisbon, Lyon, Frankfurt].\n                |- Check whether the city with an arrival day of Day 28 - is fixed.\n                |- Yes. The city with an arrival day of Day 28 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Dubrovnik, Dublin, Krakow, Warsaw, Reykjavik, Lisbon, Lyon, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Krakow.\n**Day 7-10:** Visit Krakow for 4 days.\n**Day 10:** Fly from Krakow to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Lisbon.\n**Day 18-22:** Visit Lisbon for 5 days.\n**Day 22:** Fly from Lisbon to Lyon.\n**Day 22-24:** Visit Lyon for 3 days.\n**Day 24:** Fly from Lyon to Frankfurt.\n**Day 24-28:** Visit Frankfurt for 5 days.\n**Day 28:** Fly from Frankfurt to Salzburg.\n**Day 28-29:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Rome**Lyon**Porto**Milan**Mykonos**Budapest**Geneva**Manchester",
    "ground_truth_durations": "3**3**5**4**4**2**5**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Milan"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Rome",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You would like to visit Mykonos for 2 days. You have to attend a workshop in Mykonos between day 15 and day 16. You want to spend 3 days in Helsinki. You plan to visit relatives in Helsinki between day 1 and day 3. You would like to visit Geneva for 4 days. From day 20 to day 23, there is a annual show you want to attend in Geneva. You plan to stay in Milan for 4 days. You would like to visit Lyon for 5 days. During day 5 and day 9, you have to attend a conference in Lyon. You would like to visit Rome for 3 days. You plan to stay in Budapest for 5 days. You plan to stay in Porto for 4 days.\n\nHere are the cities that have direct flights:\nPorto and Milan, Mykonos and Budapest, Budapest and Manchester, Geneva and Manchester, Porto and Geneva, Helsinki and Manchester, Lyon and Porto, Helsinki and Budapest, Helsinki and Geneva, Porto and Manchester, Helsinki and Rome, Milan and Manchester, Rome and Mykonos, Budapest and Geneva, Milan and Mykonos, Mykonos and Geneva, Helsinki and Milan, Milan and Budapest, Rome and Budapest, Rome and Manchester, Rome and Geneva, Rome and Lyon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You would like to visit Mykonos for 2 days. You have to attend a workshop in Mykonos between day 15 and day 16. You want to spend 3 days in Helsinki. You plan to visit relatives in Helsinki between day 1 and day 3. You would like to visit Geneva for 4 days. From day 20 to day 23, there is a annual show you want to attend in Geneva. You plan to stay in Milan for 4 days. You would like to visit Lyon for 5 days. During day 5 and day 9, you have to attend a conference in Lyon. You would like to visit Rome for 3 days. You plan to stay in Budapest for 5 days. You plan to stay in Porto for 4 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Milan, from Mykonos to Budapest, from Budapest to Manchester, from Geneva to Manchester, from Porto to Geneva, from Helsinki to Manchester, from Lyon to Porto, from Helsinki to Budapest, from Helsinki to Geneva, from Porto to Manchester, from Helsinki to Rome, from Milan to Manchester, from Rome to Mykonos, from Budapest to Geneva, from Milan to Mykonos, from Mykonos to Geneva, from Helsinki to Milan, from Milan to Budapest, from Rome to Budapest, from Rome to Manchester, from Rome to Geneva, from Rome to Lyon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Milan.\n**Day 12-15:** Visit Milan for 4 days.\n**Day 15:** Fly from Milan to Mykonos.\n**Day 15-16:** Visit Mykonos for 2 days.\n**Day 16:** Fly from Mykonos to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Manchester.\n**Day 23-24:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1378",
    "estimated_output_tokens": 3252,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Milan, Duration: 4 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Rome, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Fixed Schedule: Day 5 - 9.\n* City: Mykonos, Fixed Schedule: Day 15 - 16.\n* City: Geneva, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Milan, Duration: 4 days.\n* City: Rome, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 9).\n |- The departure day of Helsinki is Day 3. The arrival day of Lyon is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Milan, Rome, Budapest, Porto] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Helsinki to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n   |- The departure day of Manchester is Day 4. The arrival day of Lyon is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Helsinki, Manchester].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Rome, Budapest, Porto] and explore these options in order.\n     |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Manchester to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Manchester to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Manchester to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Manchester to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Helsinki to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n   |- The departure day of Milan is Day 6. The arrival day of Lyon is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 15 - 16).\n     |- The departure day of Lyon is Day 9. The arrival day of Mykonos is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Helsinki, Rome, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Milan, Budapest, Porto] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lyon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lyon to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lyon to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 15 - 16).\n       |- The departure day of Porto is Day 12. The arrival day of Mykonos is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Rome, Lyon, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Milan, Budapest] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 15 - 16).\n         |- The departure day of Manchester is Day 13. The arrival day of Mykonos is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Helsinki, Rome, Lyon, Porto, Manchester].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Budapest] and explore these options in order.\n           |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Manchester to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Manchester to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Porto to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Mykonos (Day 15 - 16).\n         |- The departure day of Milan is Day 15. The arrival day of Mykonos is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Helsinki, Rome, Lyon, Porto, Milan].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Milan to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 20 - 23).\n           |- The departure day of Mykonos is Day 16. The arrival day of Geneva is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Helsinki, Rome, Lyon, Porto, Milan, Mykonos].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Budapest] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Mykonos to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Budapest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Mykonos to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 20 - 23).\n             |- The departure day of Budapest is Day 20. The arrival day of Geneva is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Helsinki, Rome, Lyon, Porto, Milan, Mykonos, Budapest].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Budapest to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Helsinki, Rome, Lyon, Porto, Milan, Mykonos, Budapest, Geneva].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n                 |- Try arranging to visit Manchester from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Geneva to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Helsinki, Rome, Lyon, Porto, Milan, Mykonos, Budapest, Geneva, Manchester].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Helsinki and visit Helsinki for 3 days.\n**Day 3:** Fly from Helsinki to Rome.\n**Day 3-5:** Visit Rome for 3 days.\n**Day 5:** Fly from Rome to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Porto.\n**Day 9-12:** Visit Porto for 4 days.\n**Day 12:** Fly from Porto to Milan.\n**Day 12-15:** Visit Milan for 4 days.\n**Day 15:** Fly from Milan to Mykonos.\n**Day 15-16:** Visit Mykonos for 2 days.\n**Day 16:** Fly from Mykonos to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Manchester.\n**Day 23-24:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Amsterdam**Lyon**Dublin**Edinburgh**Hamburg**Manchester**Naples**Mykonos",
    "ground_truth_durations": "3**5**5**4**3**3**4**3**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Dublin"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Manchester",
        "Naples"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Naples"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You have to attend a workshop in Santorini between day 1 and day 3. You would like to visit Mykonos for 2 days. During day 23 and day 24, you have to attend a conference in Mykonos. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 3 and day 7. You would like to visit Edinburgh for 3 days. You would like to visit Lyon for 5 days. You plan to stay in Manchester for 4 days. You plan to stay in Naples for 3 days. You would like to visit Hamburg for 3 days. You would like to meet your friends at Hamburg between day 16 and day 18 to tour together. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nDublin and Edinburgh, Amsterdam and Dublin, Naples and Mykonos, Santorini and Manchester, Santorini and Amsterdam, Amsterdam and Lyon, Lyon and Dublin, Santorini and Naples, Hamburg and Manchester, Dublin and Manchester, Manchester and Naples, Amsterdam and Hamburg, Amsterdam and Edinburgh, Amsterdam and Mykonos, Dublin and Naples, Dublin and Hamburg, Edinburgh and Hamburg, Santorini and Dublin, Amsterdam and Manchester, Amsterdam and Naples.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You have to attend a workshop in Santorini between day 1 and day 3. You would like to visit Mykonos for 2 days. During day 23 and day 24, you have to attend a conference in Mykonos. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 3 and day 7. You would like to visit Edinburgh for 3 days. You would like to visit Lyon for 5 days. You plan to stay in Manchester for 4 days. You plan to stay in Naples for 3 days. You would like to visit Hamburg for 3 days. You would like to meet your friends at Hamburg between day 16 and day 18 to tour together. You plan to stay in Dublin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Edinburgh, from Amsterdam to Dublin, from Naples to Mykonos, from Santorini to Manchester, from Santorini to Amsterdam, from Amsterdam to Lyon, from Lyon to Dublin, from Santorini to Naples, from Hamburg to Manchester, from Dublin to Manchester, from Manchester to Naples, from Amsterdam to Hamburg, from Amsterdam to Edinburgh, from Amsterdam to Mykonos, from Dublin to Naples, from Dublin to Hamburg, from Edinburgh to Hamburg, from Santorini to Dublin, from Amsterdam to Manchester, from Amsterdam to Naples.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Hamburg.\n**Day 16-18:** Visit Hamburg for 3 days.\n**Day 18:** Fly from Hamburg to Manchester.\n**Day 18-21:** Visit Manchester for 4 days.\n**Day 21:** Fly from Manchester to Naples.\n**Day 21-23:** Visit Naples for 3 days.\n**Day 23:** Fly from Naples to Mykonos.\n**Day 23-24:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1379",
    "estimated_output_tokens": 2843,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Edinburgh, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Dublin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 3 - 7.\n* City: Hamburg, Fixed Schedule: Day 16 - 18.\n* City: Mykonos, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Dublin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 3 - 7).\n |- The departure day of Santorini is Day 3. The arrival day of Amsterdam is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 16 - 18).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Hamburg is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Santorini, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Lyon, Manchester, Naples, Dublin] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Amsterdam to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 16 - 18).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Hamburg is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, Amsterdam, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Manchester, Naples, Dublin] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Edinburgh to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Edinburgh to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Edinburgh to Dublin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Hamburg (Day 16 - 18).\n     |- The departure day of Lyon is Day 11. The arrival day of Hamburg is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Santorini, Amsterdam, Lyon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Manchester, Naples, Dublin] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lyon to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lyon to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Lyon to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lyon to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Hamburg (Day 16 - 18).\n       |- The departure day of Dublin is Day 14. The arrival day of Hamburg is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Santorini, Amsterdam, Lyon, Dublin].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Manchester, Naples] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Dublin to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 16 - 18).\n         |- The departure day of Edinburgh is Day 16. The arrival day of Hamburg is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Santorini, Amsterdam, Lyon, Dublin, Edinburgh].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Edinburgh to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Mykonos (Day 23 - 24).\n           |- The departure day of Hamburg is Day 18. The arrival day of Mykonos is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Santorini, Amsterdam, Lyon, Dublin, Edinburgh, Hamburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Naples] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Hamburg to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 23 - 24).\n             |- The departure day of Manchester is Day 21. The arrival day of Mykonos is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Santorini, Amsterdam, Lyon, Dublin, Edinburgh, Hamburg, Manchester].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n               |- Try arranging to visit Naples from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Manchester to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Mykonos (Day 23 - 24).\n               |- The departure day of Naples is Day 23. The arrival day of Mykonos is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Santorini, Amsterdam, Lyon, Dublin, Edinburgh, Hamburg, Manchester, Naples].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Mykonos.\n                 |- Try arranging to visit Mykonos from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Naples to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Santorini, Amsterdam, Lyon, Dublin, Edinburgh, Hamburg, Manchester, Naples, Mykonos].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Amsterdam.\n**Day 3-7:** Visit Amsterdam for 5 days.\n**Day 7:** Fly from Amsterdam to Lyon.\n**Day 7-11:** Visit Lyon for 5 days.\n**Day 11:** Fly from Lyon to Dublin.\n**Day 11-14:** Visit Dublin for 4 days.\n**Day 14:** Fly from Dublin to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Hamburg.\n**Day 16-18:** Visit Hamburg for 3 days.\n**Day 18:** Fly from Hamburg to Manchester.\n**Day 18-21:** Visit Manchester for 4 days.\n**Day 21:** Fly from Manchester to Naples.\n**Day 21-23:** Visit Naples for 3 days.\n**Day 23:** Fly from Naples to Mykonos.\n**Day 23-24:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Stockholm**Santorini**Milan**Seville**Valencia**Bucharest**Hamburg**Salzburg",
    "ground_truth_durations": "3**4**3**4**3**2**5**5**5",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Milan"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Stockholm",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 5 days in Salzburg. You are going to attend a wedding in Salzburg between day 22 and day 26. You plan to stay in Santorini for 3 days. You would like to visit Bucharest for 5 days. From day 14 to day 18, there is a annual show you want to attend in Bucharest. You would like to visit Tallinn for 3 days. You want to spend 4 days in Milan. You want to meet a friend in Milan between day 8 and day 11. You plan to stay in Valencia for 2 days. You have to attend a workshop in Valencia between day 13 and day 14. You want to spend 5 days in Hamburg.\n\nHere are the cities that have direct flights:\nSantorini and Milan, from Stockholm to Santorini, Milan and Valencia, Tallinn and Stockholm, Seville and Valencia, Stockholm and Milan, Santorini and Bucharest, Valencia and Bucharest, Milan and Hamburg, Hamburg and Salzburg, Bucharest and Hamburg, Milan and Seville, Stockholm and Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Seville for 3 days. You plan to stay in Stockholm for 4 days. You want to spend 5 days in Salzburg. You are going to attend a wedding in Salzburg between day 22 and day 26. You plan to stay in Santorini for 3 days. You would like to visit Bucharest for 5 days. From day 14 to day 18, there is a annual show you want to attend in Bucharest. You would like to visit Tallinn for 3 days. You want to spend 4 days in Milan. You want to meet a friend in Milan between day 8 and day 11. You plan to stay in Valencia for 2 days. You have to attend a workshop in Valencia between day 13 and day 14. You want to spend 5 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Santorini to Milan, from Stockholm to Santorini, from Milan to Valencia, from Tallinn to Stockholm, from Seville to Valencia, from Stockholm to Milan, from Santorini to Bucharest, from Valencia to Bucharest, from Milan to Hamburg, from Hamburg to Salzburg, from Bucharest to Hamburg, from Milan to Seville, from Stockholm to Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Santorini.\n**Day 6-8:** Visit Santorini for 3 days.\n**Day 8:** Fly from Santorini to Milan.\n**Day 8-11:** Visit Milan for 4 days.\n**Day 11:** Fly from Milan to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to Hamburg.\n**Day 18-22:** Visit Hamburg for 5 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-26:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1380",
    "estimated_output_tokens": 4181,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Santorini, Duration: 3 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Tallinn, Duration: 3 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Hamburg, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Fixed Schedule: Day 13 - 14.\n* City: Bucharest, Fixed Schedule: Day 14 - 18.\n* City: Salzburg, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Seville, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Santorini, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Stockholm, Santorini, Tallinn, Hamburg] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 8 - 11).\n |- The departure day of Seville is Day 3. The arrival day of Milan is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini, Tallinn, Hamburg] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Seville to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Seville to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Seville to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 8 - 11).\n |- The departure day of Stockholm is Day 4. The arrival day of Milan is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Santorini, Tallinn, Hamburg] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 8 - 11).\n   |- The departure day of Santorini is Day 6. The arrival day of Milan is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Tallinn, Hamburg] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Santorini to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Santorini to Hamburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Stockholm to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stockholm to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 8 - 11).\n   |- The departure day of Hamburg is Day 8. The arrival day of Milan is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 8 - 11).\n |- The departure day of Santorini is Day 3. The arrival day of Milan is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Tallinn, Hamburg] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 8 - 11).\n |- The departure day of Tallinn is Day 3. The arrival day of Milan is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Stockholm, Santorini, Hamburg] and explore these options in order.\n   |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Tallinn to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Tallinn to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 8 - 11).\n   |- The departure day of Stockholm is Day 6. The arrival day of Milan is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Santorini, Hamburg] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 8 - 11).\n     |- The departure day of Santorini is Day 8. The arrival day of Milan is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 13 - 14).\n       |- The departure day of Milan is Day 11. The arrival day of Valencia is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Tallinn, Stockholm, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Hamburg] and explore these options in order.\n         |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Milan to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 13 - 14).\n         |- The departure day of Seville is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Tallinn, Stockholm, Santorini, Milan, Seville].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Seville to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 18).\n           |- The departure day of Valencia is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Tallinn, Stockholm, Santorini, Milan, Seville, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Valencia to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 22 - 26).\n             |- The departure day of Bucharest is Day 18. The arrival day of Salzburg is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Tallinn, Stockholm, Santorini, Milan, Seville, Valencia, Bucharest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Bucharest to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Salzburg (Day 22 - 26).\n               |- The departure day of Hamburg is Day 22. The arrival day of Salzburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Tallinn, Stockholm, Santorini, Milan, Seville, Valencia, Bucharest, Hamburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Salzburg.\n                 |- Try arranging to visit Salzburg from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Hamburg to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Tallinn, Stockholm, Santorini, Milan, Seville, Valencia, Bucharest, Hamburg, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Tallinn and visit Tallinn for 3 days.\n**Day 3:** Fly from Tallinn to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Santorini.\n**Day 6-8:** Visit Santorini for 3 days.\n**Day 8:** Fly from Santorini to Milan.\n**Day 8-11:** Visit Milan for 4 days.\n**Day 11:** Fly from Milan to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Valencia.\n**Day 13-14:** Visit Valencia for 2 days.\n**Day 14:** Fly from Valencia to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to Hamburg.\n**Day 18-22:** Visit Hamburg for 5 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-26:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Rome**Nice**Amsterdam**Milan**Lisbon**Valencia**Frankfurt**Salzburg",
    "ground_truth_durations": "4**4**2**4**4**2**3**3**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Rome",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. During day 15 and day 17, you have to attend a conference in Valencia. You want to spend 2 days in Lisbon. You would like to meet your friends at Lisbon between day 14 and day 15 to tour together. You plan to stay in Nice for 2 days. You want to meet a friend in Nice between day 7 and day 8. You want to spend 4 days in Amsterdam. You would like to visit Frankfurt for 3 days. You plan to stay in London for 4 days. From day 1 to day 4, there is a annual show you want to attend in London. You want to spend 4 days in Salzburg. You plan to stay in Rome for 4 days. You plan to stay in Milan for 4 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Valencia, Amsterdam and Lisbon, Amsterdam and Milan, Lisbon and Valencia, Rome and Frankfurt, Nice and Lisbon, London and Lisbon, Nice and Amsterdam, Rome and Lisbon, London and Amsterdam, Milan and Valencia, London and Frankfurt, Valencia and Frankfurt, Milan and Frankfurt, Frankfurt and Salzburg, London and Valencia, London and Milan, Nice and Frankfurt, Amsterdam and Frankfurt, Rome and Amsterdam, Lisbon and Frankfurt, Rome and Nice, London and Nice, Milan and Lisbon, London and Rome, Rome and Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Valencia. During day 15 and day 17, you have to attend a conference in Valencia. You want to spend 2 days in Lisbon. You would like to meet your friends at Lisbon between day 14 and day 15 to tour together. You plan to stay in Nice for 2 days. You want to meet a friend in Nice between day 7 and day 8. You want to spend 4 days in Amsterdam. You would like to visit Frankfurt for 3 days. You plan to stay in London for 4 days. From day 1 to day 4, there is a annual show you want to attend in London. You want to spend 4 days in Salzburg. You plan to stay in Rome for 4 days. You plan to stay in Milan for 4 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Valencia, from Amsterdam to Lisbon, from Amsterdam to Milan, from Lisbon to Valencia, from Rome to Frankfurt, from Nice to Lisbon, from London to Lisbon, from Nice to Amsterdam, from Rome to Lisbon, from London to Amsterdam, from Milan to Valencia, from London to Frankfurt, from Valencia to Frankfurt, from Milan to Frankfurt, from Frankfurt to Salzburg, from London to Valencia, from London to Milan, from Nice to Frankfurt, from Amsterdam to Frankfurt, from Rome to Amsterdam, from Lisbon to Frankfurt, from Rome to Nice, from London to Nice, from Milan to Lisbon, from London to Rome, from Rome to Valencia.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Amsterdam.\n**Day 8-11:** Visit Amsterdam for 4 days.\n**Day 11:** Fly from Amsterdam to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Frankfurt.\n**Day 17-19:** Visit Frankfurt for 3 days.\n**Day 19:** Fly from Frankfurt to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1381",
    "estimated_output_tokens": 3362,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Amsterdam, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Salzburg, Duration: 4 days.\n* City: Rome, Duration: 4 days.\n* City: Milan, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 4.\n* City: Nice, Fixed Schedule: Day 7 - 8.\n* City: Lisbon, Fixed Schedule: Day 14 - 15.\n* City: Valencia, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Salzburg, Duration: 4 days.\n* City: Rome, Duration: 4 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 7 - 8).\n |- The departure day of London is Day 4. The arrival day of Nice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Frankfurt, Salzburg, Rome, Milan] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 8).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from London to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 8).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Nice is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Salzburg, Rome, Milan] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Amsterdam.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 7 - 8).\n     |- The departure day of Salzburg is Day 9. The arrival day of Nice is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 7 - 8).\n   |- The departure day of Rome is Day 7. The arrival day of Nice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 14 - 15).\n     |- The departure day of Nice is Day 8. The arrival day of Lisbon is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Rome, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Frankfurt, Salzburg, Milan] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Nice to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 14 - 15).\n       |- The departure day of Amsterdam is Day 11. The arrival day of Lisbon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Rome, Nice, Amsterdam].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Milan] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Amsterdam to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 14 - 15).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Lisbon is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Rome, Nice, Amsterdam, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Milan] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 14 - 15).\n           |- The departure day of Salzburg is Day 16. The arrival day of Lisbon is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Frankfurt to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Amsterdam to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 14 - 15).\n         |- The departure day of Milan is Day 14. The arrival day of Lisbon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [London, Rome, Nice, Amsterdam, Milan].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Lisbon.\n           |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Milan to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 15 - 17).\n           |- The departure day of Lisbon is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [London, Rome, Nice, Amsterdam, Milan, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Lisbon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [London, Rome, Nice, Amsterdam, Milan, Lisbon, Valencia].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Valencia to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [London, Rome, Nice, Amsterdam, Milan, Lisbon, Valencia, Frankfurt].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [London, Rome, Nice, Amsterdam, Milan, Lisbon, Valencia, Frankfurt, Salzburg].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in London and visit London for 4 days.\n**Day 4:** Fly from London to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Nice.\n**Day 7-8:** Visit Nice for 2 days.\n**Day 8:** Fly from Nice to Amsterdam.\n**Day 8-11:** Visit Amsterdam for 4 days.\n**Day 11:** Fly from Amsterdam to Milan.\n**Day 11-14:** Visit Milan for 4 days.\n**Day 14:** Fly from Milan to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Valencia.\n**Day 15-17:** Visit Valencia for 3 days.\n**Day 17:** Fly from Valencia to Frankfurt.\n**Day 17-19:** Visit Frankfurt for 3 days.\n**Day 19:** Fly from Frankfurt to Salzburg.\n**Day 19-22:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Milan**Munich**Dubrovnik**Athens**Stuttgart**Frankfurt**Lyon**Lisbon",
    "ground_truth_durations": "5**3**3**5**3**5**4**5**4",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 26,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Athens"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 15 and day 19. You plan to stay in Munich for 3 days. You would like to visit Athens for 3 days. You want to spend 5 days in Budapest. You want to spend 4 days in Lisbon. You have to attend a workshop in Lisbon between day 26 and day 29. You want to spend 5 days in Lyon. You would like to visit Frankfurt for 4 days. You would like to visit Dubrovnik for 5 days. You plan to stay in Milan for 3 days. From day 5 to day 7, there is a annual show you want to attend in Milan.\n\nHere are the cities that have direct flights:\nDubrovnik and Athens, Lyon and Lisbon, Munich and Athens, Milan and Lisbon, Frankfurt and Lisbon, Athens and Lisbon, Budapest and Munich, Athens and Frankfurt, Munich and Dubrovnik, Budapest and Milan, Munich and Lisbon, Munich and Frankfurt, Stuttgart and Frankfurt, Budapest and Frankfurt, Stuttgart and Lisbon, Munich and Lyon, Milan and Stuttgart, Dubrovnik and Frankfurt, Budapest and Stuttgart, Milan and Munich, Frankfurt and Lyon, Milan and Athens, Athens and Stuttgart, Milan and Frankfurt, Budapest and Lisbon.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 15 and day 19. You plan to stay in Munich for 3 days. You would like to visit Athens for 3 days. You want to spend 5 days in Budapest. You want to spend 4 days in Lisbon. You have to attend a workshop in Lisbon between day 26 and day 29. You want to spend 5 days in Lyon. You would like to visit Frankfurt for 4 days. You would like to visit Dubrovnik for 5 days. You plan to stay in Milan for 3 days. From day 5 to day 7, there is a annual show you want to attend in Milan.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Athens, from Lyon to Lisbon, from Munich to Athens, from Milan to Lisbon, from Frankfurt to Lisbon, from Athens to Lisbon, from Budapest to Munich, from Athens to Frankfurt, from Munich to Dubrovnik, from Budapest to Milan, from Munich to Lisbon, from Munich to Frankfurt, from Stuttgart to Frankfurt, from Budapest to Frankfurt, from Stuttgart to Lisbon, from Munich to Lyon, from Milan to Stuttgart, from Dubrovnik to Frankfurt, from Budapest to Stuttgart, from Milan to Munich, from Frankfurt to Lyon, from Milan to Athens, from Athens to Stuttgart, from Milan to Frankfurt, from Budapest to Lisbon.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Lyon.\n**Day 22-26:** Visit Lyon for 5 days.\n**Day 26:** Fly from Lyon to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.",
    "id": "trip_planning_example_1382",
    "estimated_output_tokens": 5177,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Munich, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 26 - 29.\n* City: Lyon, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 5 - 7.\n* City: Stuttgart, Fixed Schedule: Day 15 - 19.\n* City: Lisbon, Fixed Schedule: Day 26 - 29.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Athens, Budapest, Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 7).\n |- The departure day of Munich is Day 3. The arrival day of Milan is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Budapest, Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Munich to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 7).\n   |- The departure day of Athens is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 7).\n   |- The departure day of Lyon is Day 7. The arrival day of Milan is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Munich to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 7).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Milan is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 7).\n   |- The departure day of Dubrovnik is Day 7. The arrival day of Milan is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 7).\n |- The departure day of Athens is Day 3. The arrival day of Milan is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Budapest, Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Athens to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 7).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Milan is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 7).\n |- The departure day of Budapest is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 15 - 19).\n   |- The departure day of Milan is Day 7. The arrival day of Stuttgart is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Athens, Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Milan to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 15 - 19).\n     |- The departure day of Munich is Day 9. The arrival day of Stuttgart is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Budapest, Milan, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 15 - 19).\n       |- The departure day of Athens is Day 11. The arrival day of Stuttgart is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Budapest, Milan, Munich, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 15 - 19).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Stuttgart is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Budapest, Milan, Munich, Athens, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 15 - 19).\n           |- The departure day of Lyon is Day 18. The arrival day of Stuttgart is Day 15. Day 18 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 15 - 19).\n       |- The departure day of Lyon is Day 13. The arrival day of Stuttgart is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, Milan, Munich, Lyon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Frankfurt, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Lyon to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Lyon to Frankfurt.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lyon to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 15 - 19).\n       |- The departure day of Frankfurt is Day 12. The arrival day of Stuttgart is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Budapest, Milan, Munich, Frankfurt].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Lyon, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Frankfurt to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Frankfurt to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 15 - 19).\n         |- The departure day of Lyon is Day 16. The arrival day of Stuttgart is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Frankfurt to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 15 - 19).\n       |- The departure day of Dubrovnik is Day 13. The arrival day of Stuttgart is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Budapest, Milan, Munich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Lyon, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Dubrovnik to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 15 - 19).\n         |- The departure day of Athens is Day 15. The arrival day of Stuttgart is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Budapest, Milan, Munich, Dubrovnik, Athens].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Athens to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lisbon (Day 26 - 29).\n           |- The departure day of Stuttgart is Day 19. The arrival day of Lisbon is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Budapest, Milan, Munich, Dubrovnik, Athens, Stuttgart].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Stuttgart to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Stuttgart to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lisbon (Day 26 - 29).\n             |- The departure day of Frankfurt is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Budapest, Milan, Munich, Dubrovnik, Athens, Stuttgart, Frankfurt].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Frankfurt to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Lisbon (Day 26 - 29).\n               |- The departure day of Lyon is Day 26. The arrival day of Lisbon is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Budapest, Milan, Munich, Dubrovnik, Athens, Stuttgart, Frankfurt, Lyon].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- Yes. The city with an arrival day of Day 26 - is fixed: Lisbon.\n                 |- Try arranging to visit Lisbon from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                 |- Check for direct flight from Lyon to Lisbon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Budapest, Milan, Munich, Dubrovnik, Athens, Stuttgart, Frankfurt, Lyon, Lisbon].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Milan.\n**Day 5-7:** Visit Milan for 3 days.\n**Day 7:** Fly from Milan to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Dubrovnik.\n**Day 9-13:** Visit Dubrovnik for 5 days.\n**Day 13:** Fly from Dubrovnik to Athens.\n**Day 13-15:** Visit Athens for 3 days.\n**Day 15:** Fly from Athens to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Lyon.\n**Day 22-26:** Visit Lyon for 5 days.\n**Day 26:** Fly from Lyon to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Florence**Munich**Dubrovnik**Istanbul**Tallinn**Berlin**Lisbon**Frankfurt",
    "ground_truth_durations": "2**2**2**5**3**4**4**5**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Florence",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You want to spend 5 days in Lisbon. You have to attend a workshop in Lisbon between day 16 and day 20. You plan to stay in Istanbul for 3 days. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Florence. You would like to visit Tallinn for 4 days. You want to spend 2 days in Barcelona. You are going to attend a wedding in Barcelona between day 1 and day 2. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 20 and day 21 to tour together. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nBarcelona and Tallinn, Istanbul and Frankfurt, Florence and Lisbon, Barcelona and Istanbul, Barcelona and Dubrovnik, Tallinn and Berlin, Florence and Frankfurt, Barcelona and Florence, Dubrovnik and Frankfurt, Istanbul and Berlin, Barcelona and Berlin, Tallinn and Frankfurt, Lisbon and Frankfurt, Istanbul and Lisbon, Munich and Tallinn, from Dubrovnik to Istanbul, Munich and Lisbon, Berlin and Frankfurt, Munich and Frankfurt, Barcelona and Lisbon, Berlin and Lisbon, Munich and Istanbul, from Istanbul to Tallinn, Munich and Berlin, Barcelona and Frankfurt, Munich and Dubrovnik, Barcelona and Munich, from Florence to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You want to spend 5 days in Lisbon. You have to attend a workshop in Lisbon between day 16 and day 20. You plan to stay in Istanbul for 3 days. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Florence. You would like to visit Tallinn for 4 days. You want to spend 2 days in Barcelona. You are going to attend a wedding in Barcelona between day 1 and day 2. You plan to stay in Frankfurt for 2 days. You would like to meet your friends at Frankfurt between day 20 and day 21 to tour together. You would like to visit Berlin for 4 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Tallinn, from Istanbul to Frankfurt, from Florence to Lisbon, from Barcelona to Istanbul, from Barcelona to Dubrovnik, from Tallinn to Berlin, from Florence to Frankfurt, from Barcelona to Florence, from Dubrovnik to Frankfurt, from Istanbul to Berlin, from Barcelona to Berlin, from Tallinn to Frankfurt, from Lisbon to Frankfurt, from Istanbul to Lisbon, from Munich to Tallinn, from Dubrovnik to Istanbul, from Munich to Lisbon, from Berlin to Frankfurt, from Munich to Frankfurt, from Barcelona to Lisbon, from Berlin to Lisbon, from Munich to Istanbul, from Istanbul to Tallinn, from Munich to Berlin, from Barcelona to Frankfurt, from Munich to Dubrovnik, from Barcelona to Munich, from Florence to Munich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Berlin.\n**Day 13-16:** Visit Berlin for 4 days.\n**Day 16:** Fly from Berlin to Lisbon.\n**Day 16-20:** Visit Lisbon for 5 days.\n**Day 20:** Fly from Lisbon to Frankfurt.\n**Day 20-21:** Visit Frankfurt for 2 days.",
    "id": "trip_planning_example_1383",
    "estimated_output_tokens": 10802,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Istanbul, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 2.\n* City: Lisbon, Fixed Schedule: Day 16 - 20.\n* City: Frankfurt, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 16 - 20).\n |- The departure day of Barcelona is Day 2. The arrival day of Lisbon is Day 16. Day 2 is not later than (<=) Day 16. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Istanbul, Dubrovnik, Florence, Tallinn, Berlin] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 16 - 20).\n   |- The departure day of Munich is Day 3. The arrival day of Lisbon is Day 16. Day 3 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Munich].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Florence, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Munich to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 16 - 20).\n     |- The departure day of Istanbul is Day 5. The arrival day of Lisbon is Day 16. Day 5 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Barcelona, Munich, Istanbul].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Florence, Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Istanbul to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Istanbul to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Istanbul to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 16 - 20).\n       |- The departure day of Tallinn is Day 8. The arrival day of Lisbon is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Munich, Istanbul, Tallinn].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Florence, Berlin] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Tallinn to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Tallinn to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 16 - 20).\n         |- The departure day of Berlin is Day 11. The arrival day of Lisbon is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Barcelona, Munich, Istanbul, Tallinn, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Florence] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Berlin to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Berlin to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Istanbul to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 16 - 20).\n       |- The departure day of Berlin is Day 8. The arrival day of Lisbon is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Munich, Istanbul, Berlin].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Florence, Tallinn] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Berlin to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Berlin to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 16 - 20).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Lisbon is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Florence, Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dubrovnik to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 16 - 20).\n       |- The departure day of Istanbul is Day 9. The arrival day of Lisbon is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Munich, Dubrovnik, Istanbul].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn, Berlin] and explore these options in order.\n         |- Try arranging to visit Florence from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Istanbul to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Istanbul to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 16 - 20).\n         |- The departure day of Tallinn is Day 12. The arrival day of Lisbon is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Barcelona, Munich, Dubrovnik, Istanbul, Tallinn].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Berlin] and explore these options in order.\n           |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Tallinn to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Tallinn to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lisbon (Day 16 - 20).\n           |- The departure day of Berlin is Day 15. The arrival day of Lisbon is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Barcelona, Munich, Dubrovnik, Istanbul, Tallinn, Berlin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n             |- Try arranging to visit Florence from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Berlin to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Istanbul to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 16 - 20).\n         |- The departure day of Berlin is Day 12. The arrival day of Lisbon is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Barcelona, Munich, Dubrovnik, Istanbul, Berlin].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Tallinn] and explore these options in order.\n           |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Berlin to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Berlin to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Munich to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Munich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 16 - 20).\n     |- The departure day of Tallinn is Day 6. The arrival day of Lisbon is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Barcelona, Munich, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Florence, Berlin] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Tallinn to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Tallinn to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Tallinn to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Tallinn to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 16 - 20).\n       |- The departure day of Berlin is Day 9. The arrival day of Lisbon is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Munich, Tallinn, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Florence] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Berlin to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Munich to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 16 - 20).\n     |- The departure day of Berlin is Day 6. The arrival day of Lisbon is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Barcelona, Munich, Berlin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Florence, Tallinn] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Berlin to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Berlin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Berlin to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Barcelona to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 16 - 20).\n   |- The departure day of Istanbul is Day 4. The arrival day of Lisbon is Day 16. Day 4 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Florence, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Istanbul to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 16 - 20).\n     |- The departure day of Tallinn is Day 7. The arrival day of Lisbon is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Florence, Berlin] and explore these options in order.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lisbon (Day 16 - 20).\n       |- The departure day of Berlin is Day 10. The arrival day of Lisbon is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Istanbul, Tallinn, Berlin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Florence] and explore these options in order.\n         |- Try arranging to visit Munich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Berlin to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Berlin to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 16 - 20).\n     |- The departure day of Berlin is Day 7. The arrival day of Lisbon is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Istanbul, Berlin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Florence, Tallinn] and explore these options in order.\n       |- Try arranging to visit Munich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Berlin to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Berlin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Berlin to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Barcelona to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 16 - 20).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Lisbon is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Istanbul, Florence, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Munich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Dubrovnik to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 16 - 20).\n     |- The departure day of Istanbul is Day 8. The arrival day of Lisbon is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Dubrovnik, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Florence, Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Munich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 16 - 20).\n       |- The departure day of Tallinn is Day 11. The arrival day of Lisbon is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Barcelona, Dubrovnik, Istanbul, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Florence, Berlin] and explore these options in order.\n         |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Tallinn to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Tallinn to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Tallinn to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 16 - 20).\n         |- The departure day of Berlin is Day 14. The arrival day of Lisbon is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Barcelona, Dubrovnik, Istanbul, Tallinn, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Florence] and explore these options in order.\n           |- Try arranging to visit Munich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Berlin to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Berlin to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Istanbul to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 16 - 20).\n       |- The departure day of Berlin is Day 11. The arrival day of Lisbon is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Barcelona, Dubrovnik, Istanbul, Berlin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Florence, Tallinn] and explore these options in order.\n         |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Berlin to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Berlin to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Berlin to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Barcelona to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 16 - 20).\n   |- The departure day of Florence is Day 3. The arrival day of Lisbon is Day 16. Day 3 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Barcelona, Florence].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Istanbul, Dubrovnik, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Munich from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Florence to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 16 - 20).\n     |- The departure day of Munich is Day 4. The arrival day of Lisbon is Day 16. Day 4 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Barcelona, Florence, Munich].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Munich to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 16 - 20).\n       |- The departure day of Istanbul is Day 6. The arrival day of Lisbon is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Barcelona, Florence, Munich, Istanbul].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn, Berlin] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Istanbul to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Istanbul to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 16 - 20).\n         |- The departure day of Tallinn is Day 9. The arrival day of Lisbon is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Barcelona, Florence, Munich, Istanbul, Tallinn].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Tallinn to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Tallinn to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 16 - 20).\n           |- The departure day of Berlin is Day 12. The arrival day of Lisbon is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Barcelona, Florence, Munich, Istanbul, Tallinn, Berlin].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Berlin to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Istanbul to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lisbon (Day 16 - 20).\n         |- The departure day of Berlin is Day 9. The arrival day of Lisbon is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Barcelona, Florence, Munich, Istanbul, Berlin].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Berlin to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Berlin to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Munich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lisbon (Day 16 - 20).\n       |- The departure day of Dubrovnik is Day 8. The arrival day of Lisbon is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Barcelona, Florence, Munich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Tallinn, Berlin] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Dubrovnik to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 16 - 20).\n         |- The departure day of Istanbul is Day 10. The arrival day of Lisbon is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Barcelona, Florence, Munich, Dubrovnik, Istanbul].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Istanbul to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 16 - 20).\n           |- The departure day of Tallinn is Day 13. The arrival day of Lisbon is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Barcelona, Florence, Munich, Dubrovnik, Istanbul, Tallinn].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Tallinn to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 16 - 20).\n             |- The departure day of Berlin is Day 16. The arrival day of Lisbon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Barcelona, Florence, Munich, Dubrovnik, Istanbul, Tallinn, Berlin].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Lisbon.\n               |- Try arranging to visit Lisbon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Berlin to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 20 - 21).\n               |- The departure day of Lisbon is Day 20. The arrival day of Frankfurt is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Barcelona, Florence, Munich, Dubrovnik, Istanbul, Tallinn, Berlin, Lisbon].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Lisbon to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Barcelona, Florence, Munich, Dubrovnik, Istanbul, Tallinn, Berlin, Lisbon, Frankfurt].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Barcelona and visit Barcelona for 2 days.\n**Day 2:** Fly from Barcelona to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Munich.\n**Day 3-4:** Visit Munich for 2 days.\n**Day 4:** Fly from Munich to Dubrovnik.\n**Day 4-8:** Visit Dubrovnik for 5 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-10:** Visit Istanbul for 3 days.\n**Day 10:** Fly from Istanbul to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Berlin.\n**Day 13-16:** Visit Berlin for 4 days.\n**Day 16:** Fly from Berlin to Lisbon.\n**Day 16-20:** Visit Lisbon for 5 days.\n**Day 20:** Fly from Lisbon to Frankfurt.\n**Day 20-21:** Visit Frankfurt for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Stockholm**Santorini**Milan**Reykjavik**Helsinki**Vilnius**Frankfurt**Florence",
    "ground_truth_durations": "2**2**2**4**5**4**4**4**3",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 14,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Milan",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You plan to stay in Florence for 3 days. You want to meet a friend in Florence between day 20 and day 22. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 7 and day 11 to tour together. You want to spend 2 days in Santorini. You would like to visit Helsinki for 4 days. You want to spend 2 days in Stockholm. You plan to stay in Milan for 4 days. You plan to visit relatives in Milan between day 4 and day 7. You want to spend 2 days in Dubrovnik. You would like to visit Vilnius for 4 days. You have to attend a workshop in Vilnius between day 14 and day 17.\n\nHere are the cities that have direct flights:\nReykjavik and Frankfurt, Santorini and Milan, Dubrovnik and Frankfurt, from Stockholm to Santorini, Stockholm and Reykjavik, Stockholm and Frankfurt, Stockholm and Milan, Milan and Reykjavik, Reykjavik and Helsinki, Milan and Vilnius, Dubrovnik and Stockholm, Frankfurt and Florence, Helsinki and Frankfurt, Helsinki and Vilnius, Stockholm and Helsinki, Milan and Helsinki, Vilnius and Frankfurt, Dubrovnik and Helsinki, Milan and Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You plan to stay in Florence for 3 days. You want to meet a friend in Florence between day 20 and day 22. You plan to stay in Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 7 and day 11 to tour together. You want to spend 2 days in Santorini. You would like to visit Helsinki for 4 days. You want to spend 2 days in Stockholm. You plan to stay in Milan for 4 days. You plan to visit relatives in Milan between day 4 and day 7. You want to spend 2 days in Dubrovnik. You would like to visit Vilnius for 4 days. You have to attend a workshop in Vilnius between day 14 and day 17.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Frankfurt, from Santorini to Milan, from Dubrovnik to Frankfurt, from Stockholm to Santorini, from Stockholm to Reykjavik, from Stockholm to Frankfurt, from Stockholm to Milan, from Milan to Reykjavik, from Reykjavik to Helsinki, from Milan to Vilnius, from Dubrovnik to Stockholm, from Frankfurt to Florence, from Helsinki to Frankfurt, from Helsinki to Vilnius, from Stockholm to Helsinki, from Milan to Helsinki, from Vilnius to Frankfurt, from Dubrovnik to Helsinki, from Milan to Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Stockholm.\n**Day 2-3:** Visit Stockholm for 2 days.\n**Day 3:** Fly from Stockholm to Santorini.\n**Day 3-4:** Visit Santorini for 2 days.\n**Day 4:** Fly from Santorini to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Florence.\n**Day 20-22:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1384",
    "estimated_output_tokens": 4818,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Santorini, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Dubrovnik, Duration: 2 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 4 - 7.\n* City: Reykjavik, Fixed Schedule: Day 7 - 11.\n* City: Vilnius, Fixed Schedule: Day 14 - 17.\n* City: Florence, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Stockholm, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Santorini, Helsinki, Stockholm, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Frankfurt is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Santorini is Day 2. The arrival day of Milan is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Helsinki, Stockholm, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Helsinki is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Helsinki to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Stockholm is Day 2. The arrival day of Milan is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Santorini, Helsinki, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stockholm to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Santorini is Day 3. The arrival day of Milan is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Helsinki, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Santorini to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Santorini to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Santorini to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stockholm to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Helsinki is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 4 - 7).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Milan is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Santorini, Helsinki, Stockholm] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Helsinki is Day 5. The arrival day of Milan is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 4 - 7).\n   |- The departure day of Stockholm is Day 3. The arrival day of Milan is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Dubrovnik, Stockholm].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Santorini, Helsinki] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Stockholm to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 7).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Milan is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 4 - 7).\n     |- The departure day of Santorini is Day 4. The arrival day of Milan is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Dubrovnik, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- Yes. The city with an arrival day of Day 4 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 7 - 11).\n       |- The departure day of Milan is Day 7. The arrival day of Reykjavik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dubrovnik, Stockholm, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Milan to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 14 - 17).\n         |- The departure day of Reykjavik is Day 11. The arrival day of Vilnius is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Frankfurt, Helsinki] and explore these options in order.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Reykjavik to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 14 - 17).\n           |- The departure day of Frankfurt is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik, Frankfurt].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Frankfurt to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Reykjavik to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 14 - 17).\n           |- The departure day of Helsinki is Day 14. The arrival day of Vilnius is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik, Helsinki].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Helsinki to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 20 - 22).\n             |- The departure day of Vilnius is Day 17. The arrival day of Florence is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik, Helsinki, Vilnius].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Vilnius to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Florence (Day 20 - 22).\n               |- The departure day of Frankfurt is Day 20. The arrival day of Florence is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik, Helsinki, Vilnius, Frankfurt].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Florence.\n                 |- Try arranging to visit Florence from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Frankfurt to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Dubrovnik, Stockholm, Santorini, Milan, Reykjavik, Helsinki, Vilnius, Frankfurt, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dubrovnik and visit Dubrovnik for 2 days.\n**Day 2:** Fly from Dubrovnik to Stockholm.\n**Day 2-3:** Visit Stockholm for 2 days.\n**Day 3:** Fly from Stockholm to Santorini.\n**Day 3-4:** Visit Santorini for 2 days.\n**Day 4:** Fly from Santorini to Milan.\n**Day 4-7:** Visit Milan for 4 days.\n**Day 7:** Fly from Milan to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Helsinki.\n**Day 11-14:** Visit Helsinki for 4 days.\n**Day 14:** Fly from Helsinki to Vilnius.\n**Day 14-17:** Visit Vilnius for 4 days.\n**Day 17:** Fly from Vilnius to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Florence.\n**Day 20-22:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Venice**Stuttgart**Milan**Riga**Hamburg**Athens**Zurich**Florence",
    "ground_truth_durations": "2**2**4**4**3**4**3**4**4",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Helsinki",
        "Venice"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Hamburg",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to meet your friends at Athens between day 14 and day 16 to tour together. You plan to stay in Florence for 4 days. You plan to stay in Stuttgart for 4 days. You plan to stay in Riga for 3 days. You want to spend 2 days in Venice. You want to meet a friend in Venice between day 2 and day 3. You would like to visit Zurich for 4 days. You have to attend a workshop in Zurich between day 16 and day 19. You plan to stay in Helsinki for 2 days. From day 1 to day 2, there is a annual show you want to attend in Helsinki. You would like to visit Milan for 4 days. You want to spend 4 days in Hamburg.\n\nHere are the cities that have direct flights:\nHelsinki and Milan, Milan and Zurich, Venice and Athens, Riga and Zurich, Stuttgart and Milan, Hamburg and Zurich, Helsinki and Zurich, Venice and Hamburg, Helsinki and Riga, Milan and Athens, Helsinki and Hamburg, from Riga to Hamburg, Milan and Hamburg, Stuttgart and Athens, Athens and Zurich, from Zurich to Florence, from Athens to Riga, Venice and Stuttgart, Stuttgart and Hamburg, Milan and Riga, Helsinki and Venice, Venice and Zurich, Hamburg and Athens.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 3 days. You would like to meet your friends at Athens between day 14 and day 16 to tour together. You plan to stay in Florence for 4 days. You plan to stay in Stuttgart for 4 days. You plan to stay in Riga for 3 days. You want to spend 2 days in Venice. You want to meet a friend in Venice between day 2 and day 3. You would like to visit Zurich for 4 days. You have to attend a workshop in Zurich between day 16 and day 19. You plan to stay in Helsinki for 2 days. From day 1 to day 2, there is a annual show you want to attend in Helsinki. You would like to visit Milan for 4 days. You want to spend 4 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Milan, from Milan to Zurich, from Venice to Athens, from Riga to Zurich, from Stuttgart to Milan, from Hamburg to Zurich, from Helsinki to Zurich, from Venice to Hamburg, from Helsinki to Riga, from Milan to Athens, from Helsinki to Hamburg, from Riga to Hamburg, from Milan to Hamburg, from Stuttgart to Athens, from Athens to Zurich, from Zurich to Florence, from Athens to Riga, from Venice to Stuttgart, from Stuttgart to Hamburg, from Milan to Riga, from Helsinki to Venice, from Venice to Zurich, from Hamburg to Athens.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Stuttgart.\n**Day 3-6:** Visit Stuttgart for 4 days.\n**Day 6:** Fly from Stuttgart to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Florence.\n**Day 19-22:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1385",
    "estimated_output_tokens": 2463,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Florence, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Milan, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 1 - 2.\n* City: Venice, Fixed Schedule: Day 2 - 3.\n* City: Athens, Fixed Schedule: Day 14 - 16.\n* City: Zurich, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Florence, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Riga, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Helsinki.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 2 - 3).\n |- The departure day of Helsinki is Day 2. The arrival day of Venice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 14 - 16).\n   |- The departure day of Venice is Day 3. The arrival day of Athens is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Helsinki, Venice].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stuttgart, Riga, Milan, Hamburg] and explore these options in order.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Venice to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Venice to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 14 - 16).\n     |- The departure day of Stuttgart is Day 6. The arrival day of Athens is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Helsinki, Venice, Stuttgart].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Riga, Milan, Hamburg] and explore these options in order.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stuttgart to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Stuttgart to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stuttgart to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Athens (Day 14 - 16).\n       |- The departure day of Milan is Day 9. The arrival day of Athens is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Venice, Stuttgart, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, Riga, Hamburg] and explore these options in order.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Milan to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Milan to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 14 - 16).\n         |- The departure day of Riga is Day 11. The arrival day of Athens is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Helsinki, Venice, Stuttgart, Milan, Riga].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Hamburg] and explore these options in order.\n           |- Try arranging to visit Florence from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Riga to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Riga to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Athens (Day 14 - 16).\n           |- The departure day of Hamburg is Day 14. The arrival day of Athens is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Venice, Stuttgart, Milan, Riga, Hamburg].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Hamburg to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Zurich (Day 16 - 19).\n             |- The departure day of Athens is Day 16. The arrival day of Zurich is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Helsinki, Venice, Stuttgart, Milan, Riga, Hamburg, Athens].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Zurich.\n               |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Athens to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Helsinki, Venice, Stuttgart, Milan, Riga, Hamburg, Athens, Zurich].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Zurich to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Helsinki, Venice, Stuttgart, Milan, Riga, Hamburg, Athens, Zurich, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Venice.\n**Day 2-3:** Visit Venice for 2 days.\n**Day 3:** Fly from Venice to Stuttgart.\n**Day 3-6:** Visit Stuttgart for 4 days.\n**Day 6:** Fly from Stuttgart to Milan.\n**Day 6-9:** Visit Milan for 4 days.\n**Day 9:** Fly from Milan to Riga.\n**Day 9-11:** Visit Riga for 3 days.\n**Day 11:** Fly from Riga to Hamburg.\n**Day 11-14:** Visit Hamburg for 4 days.\n**Day 14:** Fly from Hamburg to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Zurich.\n**Day 16-19:** Visit Zurich for 4 days.\n**Day 19:** Fly from Zurich to Florence.\n**Day 19-22:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Berlin**Geneva**Santorini**Madrid**Athens**Bucharest**London**Krakow",
    "ground_truth_durations": "5**5**2**3**5**5**2**2**3",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 16,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Madrid",
        "Athens"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Geneva",
        "Athens"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Athens",
        "London"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "Madrid",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You plan to stay in Madrid for 5 days. You are going to attend a wedding in Madrid between day 12 and day 16. You want to spend 2 days in Geneva. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 5 and day 9 to tour together. You want to spend 3 days in Santorini. You plan to stay in Tallinn for 5 days. You want to spend 2 days in London. You would like to visit Krakow for 3 days. You want to meet a friend in Krakow between day 22 and day 24. You want to spend 5 days in Athens. You plan to visit relatives in Athens between day 16 and day 20.\n\nHere are the cities that have direct flights:\nSantorini and Madrid, Geneva and Santorini, Berlin and Athens, Tallinn and Berlin, Athens and Bucharest, Madrid and London, Geneva and Madrid, Berlin and Madrid, Santorini and Athens, Santorini and London, Madrid and Athens, Berlin and Krakow, Bucharest and London, Geneva and Athens, Santorini and Bucharest, Athens and London, London and Krakow, Geneva and London, Berlin and Geneva, Berlin and London, Madrid and Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Bucharest. You plan to stay in Madrid for 5 days. You are going to attend a wedding in Madrid between day 12 and day 16. You want to spend 2 days in Geneva. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 5 and day 9 to tour together. You want to spend 3 days in Santorini. You plan to stay in Tallinn for 5 days. You want to spend 2 days in London. You would like to visit Krakow for 3 days. You want to meet a friend in Krakow between day 22 and day 24. You want to spend 5 days in Athens. You plan to visit relatives in Athens between day 16 and day 20.\n\nHere are the cities that have direct flights:\nfrom Santorini to Madrid, from Geneva to Santorini, from Berlin to Athens, from Tallinn to Berlin, from Athens to Bucharest, from Madrid to London, from Geneva to Madrid, from Berlin to Madrid, from Santorini to Athens, from Santorini to London, from Madrid to Athens, from Berlin to Krakow, from Bucharest to London, from Geneva to Athens, from Santorini to Bucharest, from Athens to London, from London to Krakow, from Geneva to London, from Berlin to Geneva, from Berlin to London, from Madrid to Bucharest.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Madrid.\n**Day 12-16:** Visit Madrid for 5 days.\n**Day 16:** Fly from Madrid to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to London.\n**Day 21-22:** Visit London for 2 days.\n**Day 22:** Fly from London to Krakow.\n**Day 22-24:** Visit Krakow for 3 days.",
    "id": "trip_planning_example_1386",
    "estimated_output_tokens": 5837,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Geneva, Duration: 2 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Santorini, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 5 - 9.\n* City: Madrid, Fixed Schedule: Day 12 - 16.\n* City: Athens, Fixed Schedule: Day 16 - 20.\n* City: Krakow, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Santorini, Tallinn, London] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Bucharest is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Tallinn, London] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of London is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Tallinn] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from London to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from London to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Geneva is Day 2. The arrival day of Berlin is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Tallinn, London] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Geneva to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of Santorini is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Geneva, Santorini].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Tallinn, London] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Santorini to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of Bucharest is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Geneva, Santorini, Bucharest].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Bucharest to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Santorini to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of London is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Geneva, Santorini, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from London to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 5 - 9).\n   |- The departure day of London is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Geneva, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Tallinn] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from London to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from London to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Santorini is Day 3. The arrival day of Berlin is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Tallinn, London] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 5 - 9).\n   |- The departure day of Bucharest is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, Bucharest].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Tallinn, London] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Bucharest to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Bucharest to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 5 - 9).\n     |- The departure day of London is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Santorini, Bucharest, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from London to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Santorini to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 5 - 9).\n   |- The departure day of London is Day 4. The arrival day of Berlin is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Santorini, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Tallinn] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from London to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from London to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 5 - 9).\n |- The departure day of Tallinn is Day 5. The arrival day of Berlin is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 12 - 16).\n   |- The departure day of Berlin is Day 9. The arrival day of Madrid is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Tallinn, Berlin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Santorini, London] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Berlin to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Berlin to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 12 - 16).\n     |- The departure day of Geneva is Day 10. The arrival day of Madrid is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Tallinn, Berlin, Geneva].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, London] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Geneva to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 12 - 16).\n       |- The departure day of Santorini is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Tallinn, Berlin, Geneva, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 16 - 20).\n         |- The departure day of Madrid is Day 16. The arrival day of Athens is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Tallinn, Berlin, Geneva, Santorini, Madrid].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Madrid to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 22 - 24).\n           |- The departure day of Athens is Day 20. The arrival day of Krakow is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Tallinn, Berlin, Geneva, Santorini, Madrid, Athens].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, London] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Athens to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Krakow (Day 22 - 24).\n             |- The departure day of Bucharest is Day 21. The arrival day of Krakow is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Tallinn, Berlin, Geneva, Santorini, Madrid, Athens, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n               |- Try arranging to visit London from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Bucharest to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Krakow (Day 22 - 24).\n               |- The departure day of London is Day 22. The arrival day of Krakow is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Tallinn, Berlin, Geneva, Santorini, Madrid, Athens, Bucharest, London].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Krakow.\n                 |- Try arranging to visit Krakow from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from London to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Tallinn, Berlin, Geneva, Santorini, Madrid, Athens, Bucharest, London, Krakow].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Tallinn and visit Tallinn for 5 days.\n**Day 5:** Fly from Tallinn to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Madrid.\n**Day 12-16:** Visit Madrid for 5 days.\n**Day 16:** Fly from Madrid to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to London.\n**Day 21-22:** Visit London for 2 days.\n**Day 22:** Fly from London to Krakow.\n**Day 22-24:** Visit Krakow for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Brussels**Berlin**Stuttgart**Split**Helsinki**Oslo**Bucharest**Santorini",
    "ground_truth_durations": "5**5**2**2**3**5**5**5**4",
    "num_cities": 9,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Florence",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Bucharest for 5 days. You would like to visit Santorini for 4 days. You want to spend 5 days in Brussels. You want to meet a friend in Brussels between day 5 and day 9. You would like to visit Helsinki for 5 days. From day 13 to day 17, there is a annual show you want to attend in Helsinki. You want to spend 2 days in Stuttgart. You have to attend a workshop in Stuttgart between day 10 and day 11. You would like to visit Berlin for 2 days. You would like to visit Florence for 5 days. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nBrussels and Oslo, Split and Helsinki, Helsinki and Oslo, Oslo and Bucharest, Berlin and Split, Brussels and Helsinki, Berlin and Stuttgart, Brussels and Berlin, Stuttgart and Split, Berlin and Oslo, Bucharest and Santorini, Berlin and Helsinki, Brussels and Bucharest, from Santorini to Oslo, Split and Oslo, Florence and Brussels.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Split. You plan to stay in Bucharest for 5 days. You would like to visit Santorini for 4 days. You want to spend 5 days in Brussels. You want to meet a friend in Brussels between day 5 and day 9. You would like to visit Helsinki for 5 days. From day 13 to day 17, there is a annual show you want to attend in Helsinki. You want to spend 2 days in Stuttgart. You have to attend a workshop in Stuttgart between day 10 and day 11. You would like to visit Berlin for 2 days. You would like to visit Florence for 5 days. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Oslo, from Split to Helsinki, from Helsinki to Oslo, from Oslo to Bucharest, from Berlin to Split, from Brussels to Helsinki, from Berlin to Stuttgart, from Brussels to Berlin, from Stuttgart to Split, from Berlin to Oslo, from Bucharest to Santorini, from Berlin to Helsinki, from Brussels to Bucharest, from Santorini to Oslo, from Split to Oslo, from Florence to Brussels.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 28 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Berlin.\n**Day 9-10:** Visit Berlin for 2 days.\n**Day 10:** Fly from Berlin to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.\n**Day 21:** Fly from Oslo to Bucharest.\n**Day 21-25:** Visit Bucharest for 5 days.\n**Day 25:** Fly from Bucharest to Santorini.\n**Day 25-28:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1387",
    "estimated_output_tokens": 4704,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Berlin, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Fixed Schedule: Day 10 - 11.\n* City: Helsinki, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Bucharest, Santorini, Berlin, Florence, Oslo] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Split is Day 3. The arrival day of Brussels is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Berlin, Florence, Oslo] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Split to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Split to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 5 - 9).\n   |- The departure day of Oslo is Day 7. The arrival day of Brussels is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Bucharest is Day 5. The arrival day of Brussels is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Bucharest to Brussels.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Santorini is Day 4. The arrival day of Brussels is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Berlin, Florence, Oslo] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Santorini to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 5 - 9).\n   |- The departure day of Oslo is Day 8. The arrival day of Brussels is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Berlin is Day 2. The arrival day of Brussels is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Santorini, Florence, Oslo] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 5 - 9).\n   |- The departure day of Split is Day 4. The arrival day of Brussels is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Florence, Oslo] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Split to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 5 - 9).\n     |- The departure day of Oslo is Day 8. The arrival day of Brussels is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Berlin to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 5 - 9).\n   |- The departure day of Oslo is Day 6. The arrival day of Brussels is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 5 - 9).\n |- The departure day of Florence is Day 5. The arrival day of Brussels is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 10 - 11).\n   |- The departure day of Brussels is Day 9. The arrival day of Stuttgart is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Brussels].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Santorini, Berlin, Oslo] and explore these options in order.\n     |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Brussels to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Brussels to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n     |- The departure day of Bucharest is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Brussels to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Brussels to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n     |- The departure day of Berlin is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Brussels, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 13 - 17).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Helsinki is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Brussels, Berlin, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Santorini, Oslo] and explore these options in order.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 13 - 17).\n         |- The departure day of Split is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Brussels, Berlin, Stuttgart, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n           |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Split to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Florence, Brussels, Berlin, Stuttgart, Split, Helsinki].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Oslo] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Helsinki to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Helsinki to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Helsinki to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Brussels, Berlin, Stuttgart, Split, Helsinki, Oslo].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Oslo to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Florence, Brussels, Berlin, Stuttgart, Split, Helsinki, Oslo, Bucharest].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Bucharest to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Florence, Brussels, Berlin, Stuttgart, Split, Helsinki, Oslo, Bucharest, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Brussels.\n**Day 5-9:** Visit Brussels for 5 days.\n**Day 9:** Fly from Brussels to Berlin.\n**Day 9-10:** Visit Berlin for 2 days.\n**Day 10:** Fly from Berlin to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.\n**Day 21:** Fly from Oslo to Bucharest.\n**Day 21-25:** Visit Bucharest for 5 days.\n**Day 25:** Fly from Bucharest to Santorini.\n**Day 25-28:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Amsterdam**Munich**Geneva**Dubrovnik**Vienna**Hamburg**Oslo**Tallinn",
    "ground_truth_durations": "5**5**5**3**2**2**2**5**2",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Hamburg. You would like to visit Oslo for 5 days. You would like to visit Dubrovnik for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Warsaw for 5 days. You are going to attend a wedding in Warsaw between day 1 and day 5. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 9 and day 13. You plan to stay in Geneva for 3 days. You want to meet a friend in Geneva between day 13 and day 15. You would like to visit Vienna for 2 days. You would like to visit Amsterdam for 5 days. You would like to meet your friends at Amsterdam between day 5 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nGeneva and Oslo, Munich and Dubrovnik, Munich and Geneva, Geneva and Vienna, Munich and Oslo, Munich and Tallinn, Amsterdam and Geneva, Munich and Vienna, Amsterdam and Vienna, Hamburg and Oslo, Geneva and Dubrovnik, Warsaw and Geneva, Amsterdam and Tallinn, Amsterdam and Dubrovnik, Oslo and Tallinn, Amsterdam and Oslo, Warsaw and Oslo, Warsaw and Vienna, Amsterdam and Munich, Dubrovnik and Vienna, Munich and Hamburg, Warsaw and Munich, Dubrovnik and Oslo, Warsaw and Tallinn, from Hamburg to Geneva, Vienna and Hamburg, Vienna and Oslo, Warsaw and Amsterdam, Warsaw and Hamburg, Amsterdam and Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Hamburg. You would like to visit Oslo for 5 days. You would like to visit Dubrovnik for 2 days. You would like to visit Tallinn for 2 days. You plan to stay in Warsaw for 5 days. You are going to attend a wedding in Warsaw between day 1 and day 5. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 9 and day 13. You plan to stay in Geneva for 3 days. You want to meet a friend in Geneva between day 13 and day 15. You would like to visit Vienna for 2 days. You would like to visit Amsterdam for 5 days. You would like to meet your friends at Amsterdam between day 5 and day 9 to tour together.\n\nHere are the cities that have direct flights:\nfrom Geneva to Oslo, from Munich to Dubrovnik, from Munich to Geneva, from Geneva to Vienna, from Munich to Oslo, from Munich to Tallinn, from Amsterdam to Geneva, from Munich to Vienna, from Amsterdam to Vienna, from Hamburg to Oslo, from Geneva to Dubrovnik, from Warsaw to Geneva, from Amsterdam to Tallinn, from Amsterdam to Dubrovnik, from Oslo to Tallinn, from Amsterdam to Oslo, from Warsaw to Oslo, from Warsaw to Vienna, from Amsterdam to Munich, from Dubrovnik to Vienna, from Munich to Hamburg, from Warsaw to Munich, from Dubrovnik to Oslo, from Warsaw to Tallinn, from Hamburg to Geneva, from Vienna to Hamburg, from Vienna to Oslo, from Warsaw to Amsterdam, from Warsaw to Hamburg, from Amsterdam to Hamburg.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Geneva.\n**Day 13-15:** Visit Geneva for 3 days.\n**Day 15:** Fly from Geneva to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.\n**Day 16:** Fly from Dubrovnik to Vienna.\n**Day 16-17:** Visit Vienna for 2 days.\n**Day 17:** Fly from Vienna to Hamburg.\n**Day 17-18:** Visit Hamburg for 2 days.\n**Day 18:** Fly from Hamburg to Oslo.\n**Day 18-22:** Visit Oslo for 5 days.\n**Day 22:** Fly from Oslo to Tallinn.\n**Day 22-23:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1388",
    "estimated_output_tokens": 3472,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Vienna, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 5 - 9.\n* City: Munich, Fixed Schedule: Day 9 - 13.\n* City: Geneva, Fixed Schedule: Day 13 - 15.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Vienna, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Warsaw is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 9 - 13).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Munich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Warsaw, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Amsterdam to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 13 - 15).\n     |- The departure day of Munich is Day 13. The arrival day of Geneva is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Warsaw, Amsterdam, Munich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Munich to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Amsterdam, Munich, Geneva].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Oslo, Dubrovnik, Tallinn, Vienna] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Geneva to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Geneva to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Oslo].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik, Tallinn, Vienna] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Oslo to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Oslo to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Oslo to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Oslo, Tallinn].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik, Vienna] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Tallinn to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Tallinn to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Tallinn to Vienna.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Oslo to Vienna.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Geneva to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Oslo, Tallinn, Vienna] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dubrovnik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Dubrovnik to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Oslo].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Tallinn, Vienna] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Oslo to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Oslo to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Oslo, Tallinn].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Vienna] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Tallinn to Hamburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vienna from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Tallinn to Vienna.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vienna from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Oslo to Vienna.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dubrovnik to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dubrovnik to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Vienna].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Oslo, Tallinn] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Vienna to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Vienna, Hamburg].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo, Tallinn] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Hamburg to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Vienna, Hamburg, Oslo].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Oslo to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Warsaw, Amsterdam, Munich, Geneva, Dubrovnik, Vienna, Hamburg, Oslo, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Munich.\n**Day 9-13:** Visit Munich for 5 days.\n**Day 13:** Fly from Munich to Geneva.\n**Day 13-15:** Visit Geneva for 3 days.\n**Day 15:** Fly from Geneva to Dubrovnik.\n**Day 15-16:** Visit Dubrovnik for 2 days.\n**Day 16:** Fly from Dubrovnik to Vienna.\n**Day 16-17:** Visit Vienna for 2 days.\n**Day 17:** Fly from Vienna to Hamburg.\n**Day 17-18:** Visit Hamburg for 2 days.\n**Day 18:** Fly from Hamburg to Oslo.\n**Day 18-22:** Visit Oslo for 5 days.\n**Day 22:** Fly from Oslo to Tallinn.\n**Day 22-23:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Prague**Tallinn**Zurich**Porto**Madrid**Split**Rome**Budapest",
    "ground_truth_durations": "3**3**5**4**3**5**3**3**2",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 22,
        "end_day": 23
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Zurich"
      ],
      [
        "Madrid",
        "Rome"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Split",
        "Rome"
      ],
      [
        "Prague",
        "Rome"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Zurich",
        "Rome"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Dublin",
        "Madrid"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Madrid",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You plan to stay in Prague for 3 days. You want to spend 4 days in Zurich. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 1 and day 3 to tour together. You plan to stay in Madrid for 5 days. You want to spend 5 days in Tallinn. During day 5 and day 9, you have to attend a conference in Tallinn. You plan to stay in Split for 3 days. You plan to stay in Porto for 3 days. You would like to visit Budapest for 2 days. You have to attend a workshop in Budapest between day 22 and day 23.\n\nHere are the cities that have direct flights:\nPrague and Zurich, Madrid and Rome, Dublin and Zurich, Tallinn and Zurich, Zurich and Split, Dublin and Split, Dublin and Budapest, Split and Rome, Prague and Rome, Madrid and Budapest, Dublin and Porto, Zurich and Budapest, Porto and Madrid, Zurich and Rome, Zurich and Porto, Dublin and Prague, Rome and Budapest, Prague and Tallinn, Dublin and Tallinn, Dublin and Rome, Prague and Split, Prague and Budapest, Prague and Madrid, Dublin and Madrid, Zurich and Madrid, Madrid and Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Rome for 3 days. You plan to stay in Prague for 3 days. You want to spend 4 days in Zurich. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 1 and day 3 to tour together. You plan to stay in Madrid for 5 days. You want to spend 5 days in Tallinn. During day 5 and day 9, you have to attend a conference in Tallinn. You plan to stay in Split for 3 days. You plan to stay in Porto for 3 days. You would like to visit Budapest for 2 days. You have to attend a workshop in Budapest between day 22 and day 23.\n\nHere are the cities that have direct flights:\nfrom Prague to Zurich, from Madrid to Rome, from Dublin to Zurich, from Tallinn to Zurich, from Zurich to Split, from Dublin to Split, from Dublin to Budapest, from Split to Rome, from Prague to Rome, from Madrid to Budapest, from Dublin to Porto, from Zurich to Budapest, from Porto to Madrid, from Zurich to Rome, from Zurich to Porto, from Dublin to Prague, from Rome to Budapest, from Prague to Tallinn, from Dublin to Tallinn, from Dublin to Rome, from Prague to Split, from Prague to Budapest, from Prague to Madrid, from Dublin to Madrid, from Zurich to Madrid, from Madrid to Split.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Zurich.\n**Day 9-12:** Visit Zurich for 4 days.\n**Day 12:** Fly from Zurich to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Madrid.\n**Day 14-18:** Visit Madrid for 5 days.\n**Day 18:** Fly from Madrid to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Rome.\n**Day 20-22:** Visit Rome for 3 days.\n**Day 22:** Fly from Rome to Budapest.\n**Day 22-23:** Visit Budapest for 2 days.",
    "id": "trip_planning_example_1389",
    "estimated_output_tokens": 4948,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Madrid, Duration: 5 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Fixed Schedule: Day 5 - 9.\n* City: Budapest, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Madrid, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 5 - 9).\n |- The departure day of Dublin is Day 3. The arrival day of Tallinn is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Prague, Zurich, Madrid, Split, Porto] and explore these options in order.\n   |- Try arranging to visit Rome from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 5 - 9).\n   |- The departure day of Rome is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 5 - 9).\n   |- The departure day of Prague is Day 5. The arrival day of Tallinn is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 22 - 23).\n     |- The departure day of Tallinn is Day 9. The arrival day of Budapest is Day 22. Day 9 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Dublin, Prague, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Zurich, Madrid, Split, Porto] and explore these options in order.\n       |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Tallinn to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Tallinn to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 22 - 23).\n       |- The departure day of Zurich is Day 12. The arrival day of Budapest is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dublin, Prague, Tallinn, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Madrid, Split, Porto] and explore these options in order.\n         |- Try arranging to visit Rome from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 22 - 23).\n         |- The departure day of Rome is Day 14. The arrival day of Budapest is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dublin, Prague, Tallinn, Zurich, Rome].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Split, Porto] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Rome to Madrid.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Rome to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Rome to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Madrid from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Zurich to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 22 - 23).\n         |- The departure day of Madrid is Day 16. The arrival day of Budapest is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Dublin, Prague, Tallinn, Zurich, Madrid].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Split, Porto] and explore these options in order.\n           |- Try arranging to visit Rome from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Madrid to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Budapest (Day 22 - 23).\n           |- The departure day of Rome is Day 18. The arrival day of Budapest is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dublin, Prague, Tallinn, Zurich, Madrid, Rome].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Porto] and explore these options in order.\n             |- Try arranging to visit Split from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Rome to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Rome to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Madrid to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Budapest (Day 22 - 23).\n           |- The departure day of Split is Day 18. The arrival day of Budapest is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dublin, Prague, Tallinn, Zurich, Madrid, Split].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Porto] and explore these options in order.\n             |- Try arranging to visit Rome from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Split to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 22 - 23).\n             |- The departure day of Rome is Day 20. The arrival day of Budapest is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Dublin, Prague, Tallinn, Zurich, Madrid, Split, Rome].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Rome to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Split to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Madrid to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 22 - 23).\n         |- The departure day of Split is Day 14. The arrival day of Budapest is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dublin, Prague, Tallinn, Zurich, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Madrid, Porto] and explore these options in order.\n           |- Try arranging to visit Rome from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Budapest (Day 22 - 23).\n           |- The departure day of Rome is Day 16. The arrival day of Budapest is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Dublin, Prague, Tallinn, Zurich, Split, Rome].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Madrid, Porto] and explore these options in order.\n             |- Try arranging to visit Madrid from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Rome to Madrid.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Rome to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Madrid from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Split to Madrid.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Zurich to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 22 - 23).\n         |- The departure day of Porto is Day 14. The arrival day of Budapest is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Madrid, Split] and explore these options in order.\n           |- Try arranging to visit Rome from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Porto to Rome.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Porto to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Budapest (Day 22 - 23).\n           |- The departure day of Madrid is Day 18. The arrival day of Budapest is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto, Madrid].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Split] and explore these options in order.\n             |- Try arranging to visit Rome from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Madrid to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 22 - 23).\n             |- The departure day of Rome is Day 20. The arrival day of Budapest is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto, Madrid, Rome].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n               |- Try arranging to visit Split from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Rome to Split.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Madrid to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 22 - 23).\n             |- The departure day of Split is Day 20. The arrival day of Budapest is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto, Madrid, Split].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Rome] and explore these options in order.\n               |- Try arranging to visit Rome from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Split to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Budapest (Day 22 - 23).\n               |- The departure day of Rome is Day 22. The arrival day of Budapest is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto, Madrid, Split, Rome].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Budapest.\n                 |- Try arranging to visit Budapest from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Rome to Budapest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Dublin, Prague, Tallinn, Zurich, Porto, Madrid, Split, Rome, Budapest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Prague.\n**Day 3-5:** Visit Prague for 3 days.\n**Day 5:** Fly from Prague to Tallinn.\n**Day 5-9:** Visit Tallinn for 5 days.\n**Day 9:** Fly from Tallinn to Zurich.\n**Day 9-12:** Visit Zurich for 4 days.\n**Day 12:** Fly from Zurich to Porto.\n**Day 12-14:** Visit Porto for 3 days.\n**Day 14:** Fly from Porto to Madrid.\n**Day 14-18:** Visit Madrid for 5 days.\n**Day 18:** Fly from Madrid to Split.\n**Day 18-20:** Visit Split for 3 days.\n**Day 20:** Fly from Split to Rome.\n**Day 20-22:** Visit Rome for 3 days.\n**Day 22:** Fly from Rome to Budapest.\n**Day 22-23:** Visit Budapest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Nice**Oslo**Prague**Stockholm**Frankfurt**Krakow**Copenhagen**Santorini",
    "ground_truth_durations": "2**4**3**2**5**3**4**4**4",
    "num_cities": 9,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Nice",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Naples",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. During day 12 and day 14, you have to attend a conference in Frankfurt. You would like to visit Santorini for 4 days. You would like to visit Copenhagen for 4 days. You would like to visit Stockholm for 5 days. You plan to visit relatives in Stockholm between day 8 and day 12. You would like to visit Naples for 2 days. You want to spend 2 days in Prague. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 14 and day 17. You want to spend 4 days in Nice. You have to attend a workshop in Nice between day 2 and day 5. You plan to stay in Oslo for 3 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Krakow, Nice and Copenhagen, Krakow and Copenhagen, Copenhagen and Santorini, Oslo and Prague, from Stockholm to Santorini, Oslo and Frankfurt, Nice and Frankfurt, Naples and Nice, Nice and Stockholm, Frankfurt and Copenhagen, Stockholm and Frankfurt, Oslo and Krakow, Oslo and Stockholm, Nice and Oslo, Oslo and Copenhagen, from Santorini to Oslo, Stockholm and Copenhagen, Prague and Copenhagen, Naples and Copenhagen, Prague and Stockholm, Prague and Krakow, Naples and Frankfurt, Stockholm and Krakow, Prague and Frankfurt, Naples and Santorini, Naples and Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. During day 12 and day 14, you have to attend a conference in Frankfurt. You would like to visit Santorini for 4 days. You would like to visit Copenhagen for 4 days. You would like to visit Stockholm for 5 days. You plan to visit relatives in Stockholm between day 8 and day 12. You would like to visit Naples for 2 days. You want to spend 2 days in Prague. You plan to stay in Krakow for 4 days. You are going to attend a wedding in Krakow between day 14 and day 17. You want to spend 4 days in Nice. You have to attend a workshop in Nice between day 2 and day 5. You plan to stay in Oslo for 3 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Krakow, from Nice to Copenhagen, from Krakow to Copenhagen, from Copenhagen to Santorini, from Oslo to Prague, from Stockholm to Santorini, from Oslo to Frankfurt, from Nice to Frankfurt, from Naples to Nice, from Nice to Stockholm, from Frankfurt to Copenhagen, from Stockholm to Frankfurt, from Oslo to Krakow, from Oslo to Stockholm, from Nice to Oslo, from Oslo to Copenhagen, from Santorini to Oslo, from Stockholm to Copenhagen, from Prague to Copenhagen, from Naples to Copenhagen, from Prague to Stockholm, from Prague to Krakow, from Naples to Frankfurt, from Stockholm to Krakow, from Prague to Frankfurt, from Naples to Santorini, from Naples to Oslo.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 23 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Nice.\n**Day 2-5:** Visit Nice for 4 days.\n**Day 5:** Fly from Nice to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Frankfurt.\n**Day 12-14:** Visit Frankfurt for 3 days.\n**Day 14:** Fly from Frankfurt to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Copenhagen.\n**Day 17-20:** Visit Copenhagen for 4 days.\n**Day 20:** Fly from Copenhagen to Santorini.\n**Day 20-23:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1390",
    "estimated_output_tokens": 3004,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Santorini, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Naples, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Oslo, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 2 - 5.\n* City: Stockholm, Fixed Schedule: Day 8 - 12.\n* City: Frankfurt, Fixed Schedule: Day 12 - 14.\n* City: Krakow, Fixed Schedule: Day 14 - 17.\n\nCities needing arrangement:\n* City: Santorini, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Naples, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Oslo, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Copenhagen, Naples, Prague, Oslo] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 5).\n |- The departure day of Santorini is Day 4. The arrival day of Nice is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 5).\n |- The departure day of Copenhagen is Day 4. The arrival day of Nice is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 2 - 5).\n |- The departure day of Naples is Day 2. The arrival day of Nice is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Naples to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 8 - 12).\n   |- The departure day of Nice is Day 5. The arrival day of Stockholm is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen, Prague, Oslo] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Nice to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Nice to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 12).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Nice, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Copenhagen to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Nice to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Nice to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 12).\n     |- The departure day of Oslo is Day 7. The arrival day of Stockholm is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Nice, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen, Prague] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Oslo to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 12).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Stockholm is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 12).\n       |- The departure day of Prague is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Nice, Oslo, Prague].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Prague to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 12 - 14).\n         |- The departure day of Stockholm is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Nice, Oslo, Prague, Stockholm].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Stockholm to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 14 - 17).\n           |- The departure day of Frankfurt is Day 14. The arrival day of Krakow is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Naples, Nice, Oslo, Prague, Stockholm, Frankfurt].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Frankfurt to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Naples, Nice, Oslo, Prague, Stockholm, Frankfurt, Krakow].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Krakow to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Copenhagen from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Krakow to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Naples, Nice, Oslo, Prague, Stockholm, Frankfurt, Krakow, Copenhagen].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Copenhagen to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Naples, Nice, Oslo, Prague, Stockholm, Frankfurt, Krakow, Copenhagen, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Nice.\n**Day 2-5:** Visit Nice for 4 days.\n**Day 5:** Fly from Nice to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Prague.\n**Day 7-8:** Visit Prague for 2 days.\n**Day 8:** Fly from Prague to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Frankfurt.\n**Day 12-14:** Visit Frankfurt for 3 days.\n**Day 14:** Fly from Frankfurt to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Copenhagen.\n**Day 17-20:** Visit Copenhagen for 4 days.\n**Day 20:** Fly from Copenhagen to Santorini.\n**Day 20-23:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Edinburgh**Barcelona**Santorini**Oslo**Split**Warsaw**Brussels**Florence",
    "ground_truth_durations": "2**2**4**3**3**5**2**4**5",
    "num_cities": 9,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Helsinki",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You want to spend 3 days in Santorini. You plan to stay in Split for 5 days. You want to spend 2 days in Edinburgh. You would like to meet your friends at Edinburgh between day 2 and day 3 to tour together. You plan to stay in Brussels for 4 days. During day 15 and day 18, you have to attend a conference in Brussels. You plan to stay in Barcelona for 4 days. You would like to visit Florence for 5 days. You plan to stay in Warsaw for 2 days. You would like to visit Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nWarsaw and Brussels, Split and Warsaw, Barcelona and Oslo, Oslo and Split, from Santorini to Oslo, Helsinki and Oslo, Barcelona and Warsaw, Barcelona and Split, Edinburgh and Oslo, Helsinki and Split, Oslo and Warsaw, Barcelona and Brussels, Edinburgh and Brussels, Brussels and Florence, Edinburgh and Barcelona, Helsinki and Edinburgh, Oslo and Brussels, Barcelona and Santorini, Helsinki and Warsaw, Helsinki and Barcelona, Barcelona and Florence, Helsinki and Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 3 days. You want to spend 3 days in Santorini. You plan to stay in Split for 5 days. You want to spend 2 days in Edinburgh. You would like to meet your friends at Edinburgh between day 2 and day 3 to tour together. You plan to stay in Brussels for 4 days. During day 15 and day 18, you have to attend a conference in Brussels. You plan to stay in Barcelona for 4 days. You would like to visit Florence for 5 days. You plan to stay in Warsaw for 2 days. You would like to visit Helsinki for 2 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Brussels, from Split to Warsaw, from Barcelona to Oslo, from Oslo to Split, from Santorini to Oslo, from Helsinki to Oslo, from Barcelona to Warsaw, from Barcelona to Split, from Edinburgh to Oslo, from Helsinki to Split, from Oslo to Warsaw, from Barcelona to Brussels, from Edinburgh to Brussels, from Brussels to Florence, from Edinburgh to Barcelona, from Helsinki to Edinburgh, from Oslo to Brussels, from Barcelona to Santorini, from Helsinki to Warsaw, from Helsinki to Barcelona, from Barcelona to Florence, from Helsinki to Brussels.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 22 days:\n\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Santorini.\n**Day 6-8:** Visit Santorini for 3 days.\n**Day 8:** Fly from Santorini to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Split.\n**Day 10-14:** Visit Split for 5 days.\n**Day 14:** Fly from Split to Warsaw.\n**Day 14-15:** Visit Warsaw for 2 days.\n**Day 15:** Fly from Warsaw to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Florence.\n**Day 18-22:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1391",
    "estimated_output_tokens": 5964,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Brussels, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Barcelona, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 2 - 3.\n* City: Brussels, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Split, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Santorini, Split, Barcelona, Florence, Warsaw, Helsinki] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Oslo is Day 3. The arrival day of Edinburgh is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Santorini is Day 3. The arrival day of Edinburgh is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Split is Day 5. The arrival day of Edinburgh is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Barcelona is Day 4. The arrival day of Edinburgh is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Florence is Day 5. The arrival day of Edinburgh is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Warsaw is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 2 - 3).\n |- The departure day of Helsinki is Day 2. The arrival day of Edinburgh is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Edinburgh.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Helsinki to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 15 - 18).\n   |- The departure day of Edinburgh is Day 3. The arrival day of Brussels is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Helsinki, Edinburgh].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Santorini, Split, Barcelona, Florence, Warsaw] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Edinburgh to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 15 - 18).\n     |- The departure day of Oslo is Day 5. The arrival day of Brussels is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Helsinki, Edinburgh, Oslo].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Barcelona, Florence, Warsaw] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Oslo to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 15 - 18).\n       |- The departure day of Split is Day 9. The arrival day of Brussels is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Helsinki, Edinburgh, Oslo, Split].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Barcelona, Florence, Warsaw] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Split to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Split to Barcelona.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Split to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Split to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 15 - 18).\n         |- The departure day of Warsaw is Day 10. The arrival day of Brussels is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Helsinki, Edinburgh, Oslo, Split, Warsaw].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Barcelona, Florence] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Warsaw to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Warsaw to Barcelona.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Warsaw to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Oslo to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Oslo to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Oslo to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 15 - 18).\n       |- The departure day of Warsaw is Day 6. The arrival day of Brussels is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Helsinki, Edinburgh, Oslo, Warsaw].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Barcelona, Florence] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Warsaw to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Warsaw to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Warsaw to Barcelona.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Warsaw to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Edinburgh to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Edinburgh to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Edinburgh to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 15 - 18).\n     |- The departure day of Barcelona is Day 6. The arrival day of Brussels is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Helsinki, Edinburgh, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Santorini, Split, Florence, Warsaw] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 15 - 18).\n       |- The departure day of Oslo is Day 8. The arrival day of Brussels is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Helsinki, Edinburgh, Barcelona, Oslo].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Florence, Warsaw] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 15 - 18).\n         |- The departure day of Split is Day 12. The arrival day of Brussels is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Helsinki, Edinburgh, Barcelona, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Warsaw] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Split to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Split to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Split to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 15 - 18).\n           |- The departure day of Warsaw is Day 13. The arrival day of Brussels is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Helsinki, Edinburgh, Barcelona, Oslo, Split, Warsaw].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Florence] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Warsaw to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Warsaw to Florence.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Oslo to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Oslo to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 15 - 18).\n         |- The departure day of Warsaw is Day 9. The arrival day of Brussels is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Helsinki, Edinburgh, Barcelona, Oslo, Warsaw].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Florence] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Warsaw to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Warsaw to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Warsaw to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 15 - 18).\n       |- The departure day of Santorini is Day 8. The arrival day of Brussels is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Split, Florence, Warsaw] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Brussels (Day 15 - 18).\n         |- The departure day of Oslo is Day 10. The arrival day of Brussels is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Florence, Warsaw] and explore these options in order.\n           |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 15 - 18).\n           |- The departure day of Split is Day 14. The arrival day of Brussels is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini, Oslo, Split].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Warsaw] and explore these options in order.\n             |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Split to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Split to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Brussels (Day 15 - 18).\n             |- The departure day of Warsaw is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini, Oslo, Split, Warsaw].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n               |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Warsaw to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini, Oslo, Split, Warsaw, Brussels].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Brussels to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Helsinki, Edinburgh, Barcelona, Santorini, Oslo, Split, Warsaw, Brussels, Florence].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Helsinki and visit Helsinki for 2 days.\n**Day 2:** Fly from Helsinki to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Barcelona.\n**Day 3-6:** Visit Barcelona for 4 days.\n**Day 6:** Fly from Barcelona to Santorini.\n**Day 6-8:** Visit Santorini for 3 days.\n**Day 8:** Fly from Santorini to Oslo.\n**Day 8-10:** Visit Oslo for 3 days.\n**Day 10:** Fly from Oslo to Split.\n**Day 10-14:** Visit Split for 5 days.\n**Day 14:** Fly from Split to Warsaw.\n**Day 14-15:** Visit Warsaw for 2 days.\n**Day 15:** Fly from Warsaw to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Florence.\n**Day 18-22:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Barcelona**Venice**Stuttgart**Porto**Valencia**Naples**Amsterdam**Nice",
    "ground_truth_durations": "5**2**5**2**4**5**3**4**2",
    "num_cities": 9,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Nice"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Amsterdam",
        "Nice"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You want to meet a friend in Naples between day 18 and day 20. You plan to stay in Valencia for 5 days. You plan to stay in Stuttgart for 2 days. You would like to visit Split for 5 days. You want to spend 5 days in Venice. During day 6 and day 10, you have to attend a conference in Venice. You plan to stay in Amsterdam for 4 days. You plan to stay in Nice for 2 days. You would like to meet your friends at Nice between day 23 and day 24 to tour together. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 5 and day 6. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nVenice and Nice, Naples and Amsterdam, Barcelona and Nice, Amsterdam and Nice, Stuttgart and Valencia, Stuttgart and Porto, Split and Stuttgart, Split and Naples, Valencia and Amsterdam, Barcelona and Porto, Valencia and Naples, Venice and Amsterdam, Barcelona and Naples, Barcelona and Valencia, Split and Amsterdam, Barcelona and Venice, Stuttgart and Amsterdam, Naples and Nice, Venice and Stuttgart, Split and Barcelona, Porto and Nice, Barcelona and Stuttgart, Venice and Naples, Porto and Amsterdam, Porto and Valencia, Stuttgart and Naples, Barcelona and Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You want to meet a friend in Naples between day 18 and day 20. You plan to stay in Valencia for 5 days. You plan to stay in Stuttgart for 2 days. You would like to visit Split for 5 days. You want to spend 5 days in Venice. During day 6 and day 10, you have to attend a conference in Venice. You plan to stay in Amsterdam for 4 days. You plan to stay in Nice for 2 days. You would like to meet your friends at Nice between day 23 and day 24 to tour together. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 5 and day 6. You want to spend 4 days in Porto.\n\nHere are the cities that have direct flights:\nfrom Venice to Nice, from Naples to Amsterdam, from Barcelona to Nice, from Amsterdam to Nice, from Stuttgart to Valencia, from Stuttgart to Porto, from Split to Stuttgart, from Split to Naples, from Valencia to Amsterdam, from Barcelona to Porto, from Valencia to Naples, from Venice to Amsterdam, from Barcelona to Naples, from Barcelona to Valencia, from Split to Amsterdam, from Barcelona to Venice, from Stuttgart to Amsterdam, from Naples to Nice, from Venice to Stuttgart, from Split to Barcelona, from Porto to Nice, from Barcelona to Stuttgart, from Venice to Naples, from Porto to Amsterdam, from Porto to Valencia, from Stuttgart to Naples, from Barcelona to Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 24 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-18:** Visit Valencia for 5 days.\n**Day 18:** Fly from Valencia to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Amsterdam.\n**Day 20-23:** Visit Amsterdam for 4 days.\n**Day 23:** Fly from Amsterdam to Nice.\n**Day 23-24:** Visit Nice for 2 days.",
    "id": "trip_planning_example_1392",
    "estimated_output_tokens": 4211,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Valencia, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 5 - 6.\n* City: Venice, Fixed Schedule: Day 6 - 10.\n* City: Naples, Fixed Schedule: Day 18 - 20.\n* City: Nice, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Valencia, Stuttgart, Split, Amsterdam, Porto] and explore these options in order.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 6).\n |- The departure day of Valencia is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 6).\n |- The departure day of Stuttgart is Day 2. The arrival day of Barcelona is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Split, Amsterdam, Porto] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 5 - 6).\n   |- The departure day of Valencia is Day 6. The arrival day of Barcelona is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stuttgart to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Stuttgart to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Barcelona (Day 5 - 6).\n   |- The departure day of Porto is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stuttgart, Porto].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Porto to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 5 - 6).\n |- The departure day of Split is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 10).\n   |- The departure day of Barcelona is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 18 - 20).\n     |- The departure day of Venice is Day 10. The arrival day of Naples is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Barcelona, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Stuttgart, Amsterdam, Porto] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Naples (Day 18 - 20).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Naples is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Barcelona, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Amsterdam, Porto] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Stuttgart to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 18 - 20).\n         |- The departure day of Valencia is Day 15. The arrival day of Naples is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Split, Barcelona, Venice, Stuttgart, Valencia].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Porto] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Valencia to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Naples (Day 18 - 20).\n           |- The departure day of Amsterdam is Day 18. The arrival day of Naples is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Split, Barcelona, Venice, Stuttgart, Valencia, Amsterdam].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Amsterdam to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Valencia to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stuttgart to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 18 - 20).\n         |- The departure day of Amsterdam is Day 14. The arrival day of Naples is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Split, Barcelona, Venice, Stuttgart, Amsterdam].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Porto] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Amsterdam to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stuttgart to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 18 - 20).\n         |- The departure day of Porto is Day 14. The arrival day of Naples is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Split, Barcelona, Venice, Stuttgart, Porto].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Naples (Day 18 - 20).\n           |- The departure day of Valencia is Day 18. The arrival day of Naples is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Split, Barcelona, Venice, Stuttgart, Porto, Valencia].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Valencia to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Nice (Day 23 - 24).\n             |- The departure day of Naples is Day 20. The arrival day of Nice is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Split, Barcelona, Venice, Stuttgart, Porto, Valencia, Naples].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n               |- Try arranging to visit Amsterdam from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Naples to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Nice (Day 23 - 24).\n               |- The departure day of Amsterdam is Day 23. The arrival day of Nice is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Split, Barcelona, Venice, Stuttgart, Porto, Valencia, Naples, Amsterdam].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Nice.\n                 |- Try arranging to visit Nice from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Amsterdam to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Split, Barcelona, Venice, Stuttgart, Porto, Valencia, Naples, Amsterdam, Nice].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Valencia.\n**Day 14-18:** Visit Valencia for 5 days.\n**Day 18:** Fly from Valencia to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Amsterdam.\n**Day 20-23:** Visit Amsterdam for 4 days.\n**Day 23:** Fly from Amsterdam to Nice.\n**Day 23-24:** Visit Nice for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Istanbul**Tallinn**Paris**Florence**Barcelona**Dubrovnik**Manchester**Seville",
    "ground_truth_durations": "3**5**5**2**4**4**4**4**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 24,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Manchester",
        "Seville"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You want to meet a friend in Seville between day 24 and day 25. You would like to visit Barcelona for 4 days. You want to spend 4 days in Florence. You would like to meet your friends at Florence between day 12 and day 15 to tour together. You would like to visit Manchester for 4 days. You would like to visit Dubrovnik for 4 days. From day 18 to day 21, there is a annual show you want to attend in Dubrovnik. You want to spend 3 days in Milan. You would like to visit Tallinn for 5 days. You want to spend 5 days in Istanbul. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 11 and day 12.\n\nHere are the cities that have direct flights:\nFlorence and Barcelona, Paris and Barcelona, Milan and Paris, Barcelona and Seville, Milan and Istanbul, Dubrovnik and Manchester, Barcelona and Dubrovnik, Tallinn and Paris, from Dubrovnik to Istanbul, Milan and Seville, from Istanbul to Tallinn, Paris and Manchester, Paris and Florence, Istanbul and Paris, Milan and Barcelona, Barcelona and Manchester, Manchester and Seville, Istanbul and Barcelona, Tallinn and Barcelona, Milan and Manchester, Istanbul and Manchester, Paris and Seville.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You want to meet a friend in Seville between day 24 and day 25. You would like to visit Barcelona for 4 days. You want to spend 4 days in Florence. You would like to meet your friends at Florence between day 12 and day 15 to tour together. You would like to visit Manchester for 4 days. You would like to visit Dubrovnik for 4 days. From day 18 to day 21, there is a annual show you want to attend in Dubrovnik. You want to spend 3 days in Milan. You would like to visit Tallinn for 5 days. You want to spend 5 days in Istanbul. You would like to visit Paris for 2 days. You are going to attend a wedding in Paris between day 11 and day 12.\n\nHere are the cities that have direct flights:\nfrom Florence to Barcelona, from Paris to Barcelona, from Milan to Paris, from Barcelona to Seville, from Milan to Istanbul, from Dubrovnik to Manchester, from Barcelona to Dubrovnik, from Tallinn to Paris, from Dubrovnik to Istanbul, from Milan to Seville, from Istanbul to Tallinn, from Paris to Manchester, from Paris to Florence, from Istanbul to Paris, from Milan to Barcelona, from Barcelona to Manchester, from Manchester to Seville, from Istanbul to Barcelona, from Tallinn to Barcelona, from Milan to Manchester, from Istanbul to Manchester, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Florence.\n**Day 12-15:** Visit Florence for 4 days.\n**Day 15:** Fly from Florence to Barcelona.\n**Day 15-18:** Visit Barcelona for 4 days.\n**Day 18:** Fly from Barcelona to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.\n**Day 21:** Fly from Dubrovnik to Manchester.\n**Day 21-24:** Visit Manchester for 4 days.\n**Day 24:** Fly from Manchester to Seville.\n**Day 24-25:** Visit Seville for 2 days.",
    "id": "trip_planning_example_1393",
    "estimated_output_tokens": 5085,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 24 - 25.\n* City: Barcelona, Duration: 4 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Manchester, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Milan, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 11 - 12.\n* City: Florence, Fixed Schedule: Day 12 - 15.\n* City: Dubrovnik, Fixed Schedule: Day 18 - 21.\n* City: Seville, Fixed Schedule: Day 24 - 25.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Istanbul, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Milan, Tallinn, Istanbul] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 11 - 12).\n |- The departure day of Barcelona is Day 4. The arrival day of Paris is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Milan, Tallinn, Istanbul] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 11 - 12).\n   |- The departure day of Manchester is Day 7. The arrival day of Paris is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, Manchester].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn, Istanbul] and explore these options in order.\n     |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Manchester to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Manchester to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Manchester to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Barcelona to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 11 - 12).\n |- The departure day of Manchester is Day 4. The arrival day of Paris is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Milan, Tallinn, Istanbul] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Barcelona.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Manchester to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 11 - 12).\n |- The departure day of Milan is Day 3. The arrival day of Paris is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Tallinn, Istanbul] and explore these options in order.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 11 - 12).\n   |- The departure day of Barcelona is Day 6. The arrival day of Paris is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Tallinn, Istanbul] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 11 - 12).\n     |- The departure day of Manchester is Day 9. The arrival day of Paris is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Milan, Barcelona, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 11 - 12).\n   |- The departure day of Manchester is Day 6. The arrival day of Paris is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn, Istanbul] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Manchester to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Milan to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 11 - 12).\n   |- The departure day of Istanbul is Day 7. The arrival day of Paris is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Milan, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester, Tallinn] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 12).\n     |- The departure day of Barcelona is Day 10. The arrival day of Paris is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Milan, Istanbul, Barcelona].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Tallinn] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Barcelona to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 11 - 12).\n       |- The departure day of Manchester is Day 13. The arrival day of Paris is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Barcelona to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Istanbul to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 12).\n     |- The departure day of Manchester is Day 10. The arrival day of Paris is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Milan, Istanbul, Manchester].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn] and explore these options in order.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Manchester to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 11 - 12).\n     |- The departure day of Tallinn is Day 11. The arrival day of Paris is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Milan, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Tallinn to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 12 - 15).\n       |- The departure day of Paris is Day 12. The arrival day of Florence is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Milan, Istanbul, Tallinn, Paris].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Paris to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 18 - 21).\n         |- The departure day of Florence is Day 15. The arrival day of Dubrovnik is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Milan, Istanbul, Tallinn, Paris, Florence].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona, Manchester] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Florence to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 18 - 21).\n           |- The departure day of Barcelona is Day 18. The arrival day of Dubrovnik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Milan, Istanbul, Tallinn, Paris, Florence, Barcelona].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Barcelona to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 24 - 25).\n             |- The departure day of Dubrovnik is Day 21. The arrival day of Seville is Day 24. Day 21 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Milan, Istanbul, Tallinn, Paris, Florence, Barcelona, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Dubrovnik to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Seville (Day 24 - 25).\n               |- The departure day of Manchester is Day 24. The arrival day of Seville is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Milan, Istanbul, Tallinn, Paris, Florence, Barcelona, Dubrovnik, Manchester].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Seville.\n                 |- Try arranging to visit Seville from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Manchester to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Milan, Istanbul, Tallinn, Paris, Florence, Barcelona, Dubrovnik, Manchester, Seville].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Istanbul.\n**Day 3-7:** Visit Istanbul for 5 days.\n**Day 7:** Fly from Istanbul to Tallinn.\n**Day 7-11:** Visit Tallinn for 5 days.\n**Day 11:** Fly from Tallinn to Paris.\n**Day 11-12:** Visit Paris for 2 days.\n**Day 12:** Fly from Paris to Florence.\n**Day 12-15:** Visit Florence for 4 days.\n**Day 15:** Fly from Florence to Barcelona.\n**Day 15-18:** Visit Barcelona for 4 days.\n**Day 18:** Fly from Barcelona to Dubrovnik.\n**Day 18-21:** Visit Dubrovnik for 4 days.\n**Day 21:** Fly from Dubrovnik to Manchester.\n**Day 21-24:** Visit Manchester for 4 days.\n**Day 24:** Fly from Manchester to Seville.\n**Day 24-25:** Visit Seville for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Frankfurt**Paris**Naples**Brussels**Milan**Edinburgh**Krakow**Manchester",
    "ground_truth_durations": "4**5**5**5**3**4**4**2**2",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 25,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Milan",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Brussels",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You would like to visit Paris for 5 days. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 18 and day 21. You want to spend 2 days in Manchester. From day 25 to day 26, there is a annual show you want to attend in Manchester. You plan to stay in Brussels for 3 days. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 1 and day 4. You would like to visit Frankfurt for 5 days. You want to spend 2 days in Krakow. You would like to visit Naples for 5 days. You would like to meet your friends at Naples between day 12 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nNaples and Brussels, Frankfurt and Edinburgh, Frankfurt and Milan, Milan and Edinburgh, Brussels and Edinburgh, from Brussels to Frankfurt, Dubrovnik and Frankfurt, Paris and Edinburgh, Frankfurt and Naples, Naples and Manchester, Dubrovnik and Naples, Naples and Milan, Frankfurt and Krakow, Milan and Krakow, Frankfurt and Manchester, Paris and Krakow, Paris and Naples, Frankfurt and Paris, Brussels and Manchester, Paris and Manchester, Brussels and Milan, Dubrovnik and Manchester, Edinburgh and Krakow, Krakow and Manchester, Paris and Brussels, Paris and Milan, Milan and Manchester, Brussels and Krakow.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 4 days. You would like to visit Paris for 5 days. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 18 and day 21. You want to spend 2 days in Manchester. From day 25 to day 26, there is a annual show you want to attend in Manchester. You plan to stay in Brussels for 3 days. You want to spend 4 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 1 and day 4. You would like to visit Frankfurt for 5 days. You want to spend 2 days in Krakow. You would like to visit Naples for 5 days. You would like to meet your friends at Naples between day 12 and day 16 to tour together.\n\nHere are the cities that have direct flights:\nfrom Naples to Brussels, from Frankfurt to Edinburgh, from Frankfurt to Milan, from Milan to Edinburgh, from Brussels to Edinburgh, from Brussels to Frankfurt, from Dubrovnik to Frankfurt, from Paris to Edinburgh, from Frankfurt to Naples, from Naples to Manchester, from Dubrovnik to Naples, from Naples to Milan, from Frankfurt to Krakow, from Milan to Krakow, from Frankfurt to Manchester, from Paris to Krakow, from Paris to Naples, from Frankfurt to Paris, from Brussels to Manchester, from Paris to Manchester, from Brussels to Milan, from Dubrovnik to Manchester, from Edinburgh to Krakow, from Krakow to Manchester, from Paris to Brussels, from Paris to Milan, from Milan to Manchester, from Brussels to Krakow.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Milan.\n**Day 18-21:** Visit Milan for 4 days.\n**Day 21:** Fly from Milan to Edinburgh.\n**Day 21-24:** Visit Edinburgh for 4 days.\n**Day 24:** Fly from Edinburgh to Krakow.\n**Day 24-25:** Visit Krakow for 2 days.\n**Day 25:** Fly from Krakow to Manchester.\n**Day 25-26:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1394",
    "estimated_output_tokens": 3048,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 25 - 26.\n* City: Brussels, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Frankfurt, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Naples, Fixed Schedule: Day 12 - 16.\n* City: Milan, Fixed Schedule: Day 18 - 21.\n* City: Manchester, Fixed Schedule: Day 25 - 26.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Krakow, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 12 - 16).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Naples is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Paris, Brussels, Frankfurt, Krakow] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 12 - 16).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Paris, Brussels, Krakow] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Frankfurt to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 16).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Naples is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dubrovnik, Frankfurt, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Brussels, Krakow] and explore these options in order.\n       |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Edinburgh to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Edinburgh to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 12 - 16).\n       |- The departure day of Krakow is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Frankfurt, Edinburgh, Krakow].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n         |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Krakow to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 16).\n     |- The departure day of Paris is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dubrovnik, Frankfurt, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Paris to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 18 - 21).\n       |- The departure day of Naples is Day 16. The arrival day of Milan is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Dubrovnik, Frankfurt, Paris, Naples].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Brussels, Krakow] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Naples to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Naples to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Milan (Day 18 - 21).\n         |- The departure day of Brussels is Day 18. The arrival day of Milan is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dubrovnik, Frankfurt, Paris, Naples, Brussels].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Brussels to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 25 - 26).\n           |- The departure day of Milan is Day 21. The arrival day of Manchester is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Dubrovnik, Frankfurt, Paris, Naples, Brussels, Milan].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Krakow] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Milan to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 25 - 26).\n             |- The departure day of Edinburgh is Day 24. The arrival day of Manchester is Day 25. Day 24 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Dubrovnik, Frankfurt, Paris, Naples, Brussels, Milan, Edinburgh].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Edinburgh to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Manchester (Day 25 - 26).\n               |- The departure day of Krakow is Day 25. The arrival day of Manchester is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Dubrovnik, Frankfurt, Paris, Naples, Brussels, Milan, Edinburgh, Krakow].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Manchester.\n                 |- Try arranging to visit Manchester from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                 |- Check for direct flight from Krakow to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Dubrovnik, Frankfurt, Paris, Naples, Brussels, Milan, Edinburgh, Krakow, Manchester].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Frankfurt.\n**Day 4-8:** Visit Frankfurt for 5 days.\n**Day 8:** Fly from Frankfurt to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Brussels.\n**Day 16-18:** Visit Brussels for 3 days.\n**Day 18:** Fly from Brussels to Milan.\n**Day 18-21:** Visit Milan for 4 days.\n**Day 21:** Fly from Milan to Edinburgh.\n**Day 21-24:** Visit Edinburgh for 4 days.\n**Day 24:** Fly from Edinburgh to Krakow.\n**Day 24-25:** Visit Krakow for 2 days.\n**Day 25:** Fly from Krakow to Manchester.\n**Day 25-26:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Florence**Brussels**Hamburg**Edinburgh**Berlin**Valencia**Naples**Santorini",
    "ground_truth_durations": "2**4**4**3**5**2**5**3**5",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Naples"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Brussels",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Florence",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 3 days in Naples. You want to spend 5 days in Santorini. During day 21 and day 25, you have to attend a conference in Santorini. You plan to stay in Edinburgh for 5 days. You would like to visit Berlin for 2 days. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 1 and day 2. You would like to visit Florence for 4 days. You plan to stay in Hamburg for 3 days. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nValencia and Naples, Vienna and Valencia, Berlin and Valencia, Vienna and Hamburg, Vienna and Naples, Vienna and Santorini, Brussels and Naples, Brussels and Berlin, Vienna and Brussels, Vienna and Florence, Vienna and Berlin, Brussels and Edinburgh, Edinburgh and Berlin, Berlin and Naples, Hamburg and Edinburgh, Brussels and Valencia, Naples and Santorini, Brussels and Hamburg, Florence and Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. You want to spend 3 days in Naples. You want to spend 5 days in Santorini. During day 21 and day 25, you have to attend a conference in Santorini. You plan to stay in Edinburgh for 5 days. You would like to visit Berlin for 2 days. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 1 and day 2. You would like to visit Florence for 4 days. You plan to stay in Hamburg for 3 days. You plan to stay in Brussels for 4 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Naples, from Vienna to Valencia, from Berlin to Valencia, from Vienna to Hamburg, from Vienna to Naples, from Vienna to Santorini, from Brussels to Naples, from Brussels to Berlin, from Vienna to Brussels, from Vienna to Florence, from Vienna to Berlin, from Brussels to Edinburgh, from Edinburgh to Berlin, from Berlin to Naples, from Hamburg to Edinburgh, from Brussels to Valencia, from Naples to Santorini, from Brussels to Hamburg, from Florence to Brussels.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Florence.\n**Day 2-5:** Visit Florence for 4 days.\n**Day 5:** Fly from Florence to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Edinburgh.\n**Day 10-14:** Visit Edinburgh for 5 days.\n**Day 14:** Fly from Edinburgh to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Naples.\n**Day 19-21:** Visit Naples for 3 days.\n**Day 21:** Fly from Naples to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1395",
    "estimated_output_tokens": 9703,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Edinburgh, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Florence, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Valencia, Duration: 5 days.\n* City: Naples, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n* City: Hamburg, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 21 - 25).\n |- The departure day of Vienna is Day 2. The arrival day of Santorini is Day 21. Day 2 is not later than (<=) Day 21. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Berlin, Florence, Hamburg, Brussels] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 21 - 25).\n   |- The departure day of Valencia is Day 6. The arrival day of Santorini is Day 21. Day 6 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Vienna, Valencia].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Edinburgh, Berlin, Florence, Hamburg, Brussels] and explore these options in order.\n     |- Try arranging to visit Naples from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 21 - 25).\n     |- The departure day of Naples is Day 8. The arrival day of Santorini is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Valencia, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin, Florence, Hamburg, Brussels] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Naples to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Naples to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Naples to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Valencia to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Valencia to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Valencia to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Valencia to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vienna to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 21 - 25).\n   |- The departure day of Naples is Day 4. The arrival day of Santorini is Day 21. Day 4 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vienna, Naples].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, Berlin, Florence, Hamburg, Brussels] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Naples to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Naples to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Naples to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Naples to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Naples to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Naples to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vienna to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vienna to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 21 - 25).\n   |- The departure day of Berlin is Day 3. The arrival day of Santorini is Day 21. Day 3 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vienna, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Florence, Hamburg, Brussels] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Berlin to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 21 - 25).\n     |- The departure day of Valencia is Day 7. The arrival day of Santorini is Day 21. Day 7 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Vienna, Berlin, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Edinburgh, Florence, Hamburg, Brussels] and explore these options in order.\n       |- Try arranging to visit Naples from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Valencia to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 21 - 25).\n       |- The departure day of Naples is Day 9. The arrival day of Santorini is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Berlin, Valencia, Naples].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Florence, Hamburg, Brussels] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Naples to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Naples to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Naples to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Valencia to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Valencia to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Berlin to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 21 - 25).\n     |- The departure day of Naples is Day 5. The arrival day of Santorini is Day 21. Day 5 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Vienna, Berlin, Naples].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, Florence, Hamburg, Brussels] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Naples to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Naples to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Naples to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Naples to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Naples to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Berlin to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Berlin to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Berlin to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Berlin to Brussels.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vienna to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 21 - 25).\n   |- The departure day of Florence is Day 5. The arrival day of Santorini is Day 21. Day 5 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Berlin, Hamburg, Brussels] and explore these options in order.\n     |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Florence to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Florence to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Florence to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Florence to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 21 - 25).\n     |- The departure day of Brussels is Day 8. The arrival day of Santorini is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Florence, Brussels].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Berlin, Hamburg] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Brussels to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n       |- The departure day of Valencia is Day 12. The arrival day of Santorini is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vienna, Florence, Brussels, Valencia].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Edinburgh, Berlin, Hamburg] and explore these options in order.\n         |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Santorini (Day 21 - 25).\n         |- The departure day of Naples is Day 14. The arrival day of Santorini is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Florence, Brussels, Valencia, Naples].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Berlin, Hamburg] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Naples to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Naples to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Naples to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Valencia to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Valencia to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Valencia to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n       |- The departure day of Naples is Day 10. The arrival day of Santorini is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Florence, Brussels, Naples].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, Berlin, Hamburg] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Naples to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Naples to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Naples to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Naples to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Brussels to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n       |- The departure day of Edinburgh is Day 12. The arrival day of Santorini is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vienna, Florence, Brussels, Edinburgh].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Berlin, Hamburg] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Edinburgh to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Edinburgh to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Edinburgh to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Santorini (Day 21 - 25).\n         |- The departure day of Berlin is Day 13. The arrival day of Santorini is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Florence, Brussels, Edinburgh, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Hamburg] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Berlin to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 21 - 25).\n           |- The departure day of Valencia is Day 17. The arrival day of Santorini is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vienna, Florence, Brussels, Edinburgh, Berlin, Valencia].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Hamburg] and explore these options in order.\n             |- Try arranging to visit Naples from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Valencia to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Santorini (Day 21 - 25).\n             |- The departure day of Naples is Day 19. The arrival day of Santorini is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vienna, Florence, Brussels, Edinburgh, Berlin, Valencia, Naples].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Naples to Hamburg.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Valencia to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 21 - 25).\n           |- The departure day of Naples is Day 15. The arrival day of Santorini is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Florence, Brussels, Edinburgh, Berlin, Naples].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Hamburg] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Naples to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Naples to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Edinburgh to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Brussels to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n       |- The departure day of Berlin is Day 9. The arrival day of Santorini is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Florence, Brussels, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Hamburg] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Berlin to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 21 - 25).\n         |- The departure day of Valencia is Day 13. The arrival day of Santorini is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Florence, Brussels, Berlin, Valencia].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Edinburgh, Hamburg] and explore these options in order.\n           |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 21 - 25).\n           |- The departure day of Naples is Day 15. The arrival day of Santorini is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Florence, Brussels, Berlin, Valencia, Naples].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Hamburg] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Naples to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Naples to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Valencia to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Valencia to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 21 - 25).\n         |- The departure day of Naples is Day 11. The arrival day of Santorini is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vienna, Florence, Brussels, Berlin, Naples].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Edinburgh, Hamburg] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Naples to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Naples to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Naples to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Berlin to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Hamburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Brussels to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 21 - 25).\n       |- The departure day of Hamburg is Day 10. The arrival day of Santorini is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Vienna, Florence, Brussels, Hamburg].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Edinburgh, Berlin] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Hamburg to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Hamburg to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Hamburg to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 21 - 25).\n         |- The departure day of Edinburgh is Day 14. The arrival day of Santorini is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vienna, Florence, Brussels, Hamburg, Edinburgh].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Naples, Berlin] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Edinburgh to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Edinburgh to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Edinburgh to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 21 - 25).\n           |- The departure day of Berlin is Day 15. The arrival day of Santorini is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Florence, Brussels, Hamburg, Edinburgh, Berlin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Naples] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Berlin to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 21 - 25).\n             |- The departure day of Valencia is Day 19. The arrival day of Santorini is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vienna, Florence, Brussels, Hamburg, Edinburgh, Berlin, Valencia].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n               |- Try arranging to visit Naples from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Valencia to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Santorini (Day 21 - 25).\n               |- The departure day of Naples is Day 21. The arrival day of Santorini is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Vienna, Florence, Brussels, Hamburg, Edinburgh, Berlin, Valencia, Naples].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Santorini.\n                 |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Naples to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Vienna, Florence, Brussels, Hamburg, Edinburgh, Berlin, Valencia, Naples, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vienna and visit Vienna for 2 days.\n**Day 2:** Fly from Vienna to Florence.\n**Day 2-5:** Visit Florence for 4 days.\n**Day 5:** Fly from Florence to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Hamburg.\n**Day 8-10:** Visit Hamburg for 3 days.\n**Day 10:** Fly from Hamburg to Edinburgh.\n**Day 10-14:** Visit Edinburgh for 5 days.\n**Day 14:** Fly from Edinburgh to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Valencia.\n**Day 15-19:** Visit Valencia for 5 days.\n**Day 19:** Fly from Valencia to Naples.\n**Day 19-21:** Visit Naples for 3 days.\n**Day 21:** Fly from Naples to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Valencia**Seville**Paris**Split**Helsinki**Riga**Manchester**Santorini",
    "ground_truth_durations": "4**5**5**5**2**5**3**3**5",
    "num_cities": 9,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 8,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Split"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Vienna",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. From day 4 to day 8, there is a annual show you want to attend in Valencia. You want to spend 2 days in Split. You plan to stay in Manchester for 3 days. You plan to stay in Paris for 5 days. You are going to attend a wedding in Paris between day 12 and day 16. You want to spend 3 days in Riga. You would like to visit Santorini for 5 days. You want to spend 5 days in Helsinki. You plan to stay in Vienna for 4 days. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nParis and Split, Paris and Helsinki, Seville and Manchester, Paris and Riga, Valencia and Paris, Vienna and Santorini, Riga and Manchester, Seville and Paris, Vienna and Seville, Vienna and Split, Split and Helsinki, Helsinki and Manchester, Helsinki and Riga, Vienna and Manchester, Vienna and Valencia, Vienna and Helsinki, Vienna and Paris, Manchester and Santorini, Valencia and Seville, Paris and Manchester, from Manchester to Split, Vienna and Riga.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Valencia. From day 4 to day 8, there is a annual show you want to attend in Valencia. You want to spend 2 days in Split. You plan to stay in Manchester for 3 days. You plan to stay in Paris for 5 days. You are going to attend a wedding in Paris between day 12 and day 16. You want to spend 3 days in Riga. You would like to visit Santorini for 5 days. You want to spend 5 days in Helsinki. You plan to stay in Vienna for 4 days. You want to spend 5 days in Seville. You would like to meet your friends at Seville between day 8 and day 12 to tour together.\n\nHere are the cities that have direct flights:\nfrom Paris to Split, from Paris to Helsinki, from Seville to Manchester, from Paris to Riga, from Valencia to Paris, from Vienna to Santorini, from Riga to Manchester, from Seville to Paris, from Vienna to Seville, from Vienna to Split, from Split to Helsinki, from Helsinki to Manchester, from Helsinki to Riga, from Vienna to Manchester, from Vienna to Valencia, from Vienna to Helsinki, from Vienna to Paris, from Manchester to Santorini, from Valencia to Seville, from Paris to Manchester, from Manchester to Split, from Vienna to Riga.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 29 days:\n\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Riga.\n**Day 21-23:** Visit Riga for 3 days.\n**Day 23:** Fly from Riga to Manchester.\n**Day 23-25:** Visit Manchester for 3 days.\n**Day 25:** Fly from Manchester to Santorini.\n**Day 25-29:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1396",
    "estimated_output_tokens": 4705,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Split, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Riga, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 4 - 8.\n* City: Seville, Fixed Schedule: Day 8 - 12.\n* City: Paris, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Manchester, Riga, Santorini, Helsinki, Vienna] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Split is Day 2. The arrival day of Valencia is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Santorini, Helsinki, Vienna] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Split to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 4 - 8).\n   |- The departure day of Helsinki is Day 6. The arrival day of Valencia is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Split to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Manchester is Day 3. The arrival day of Valencia is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Riga, Santorini, Helsinki, Vienna] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Manchester to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 4 - 8).\n   |- The departure day of Split is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Manchester, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Split to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 4 - 8).\n   |- The departure day of Santorini is Day 7. The arrival day of Valencia is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Riga is Day 3. The arrival day of Valencia is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Manchester, Santorini, Helsinki, Vienna] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Riga to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 4 - 8).\n   |- The departure day of Manchester is Day 5. The arrival day of Valencia is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Santorini is Day 5. The arrival day of Valencia is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Helsinki is Day 5. The arrival day of Valencia is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 4 - 8).\n |- The departure day of Vienna is Day 4. The arrival day of Valencia is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vienna to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 8 - 12).\n   |- The departure day of Valencia is Day 8. The arrival day of Seville is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vienna, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Seville.\n     |- Try arranging to visit Seville from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Valencia to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Paris (Day 12 - 16).\n     |- The departure day of Seville is Day 12. The arrival day of Paris is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Vienna, Valencia, Seville].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Seville to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Vienna, Valencia, Seville, Paris].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Manchester, Riga, Santorini, Helsinki] and explore these options in order.\n         |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Paris to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Vienna, Valencia, Seville, Paris, Split].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Santorini, Helsinki] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Split to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Split to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Split to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Split to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Santorini] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Helsinki to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki, Manchester].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Santorini] and explore these options in order.\n               |- Try arranging to visit Riga from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Manchester to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Manchester to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki, Manchester, Santorini].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                 |- Check for direct flight from Santorini to Riga.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Helsinki to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki, Riga].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Santorini] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Riga to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki, Riga, Manchester].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Manchester to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Vienna, Valencia, Seville, Paris, Split, Helsinki, Riga, Manchester, Santorini].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Valencia.\n**Day 4-8:** Visit Valencia for 5 days.\n**Day 8:** Fly from Valencia to Seville.\n**Day 8-12:** Visit Seville for 5 days.\n**Day 12:** Fly from Seville to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-21:** Visit Helsinki for 5 days.\n**Day 21:** Fly from Helsinki to Riga.\n**Day 21-23:** Visit Riga for 3 days.\n**Day 23:** Fly from Riga to Manchester.\n**Day 23-25:** Visit Manchester for 3 days.\n**Day 25:** Fly from Manchester to Santorini.\n**Day 25-29:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Lyon**Lisbon**Riga**Zurich**Krakow**London**Bucharest",
    "ground_truth_durations": "4**2**5**5**5**2**3**4**4",
    "num_cities": 9,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Krakow",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. During day 18 and day 20, you have to attend a conference in Krakow. You plan to stay in London for 4 days. You want to spend 4 days in Bucharest. You want to meet a friend in Bucharest between day 23 and day 26. You plan to stay in Berlin for 4 days. You have to attend a workshop in Berlin between day 1 and day 4. You want to spend 2 days in Zurich. You plan to stay in Lyon for 5 days. From day 5 to day 9, there is a annual show you want to attend in Lyon. You plan to stay in Lisbon for 5 days. You would like to visit Riga for 5 days. You plan to stay in Venice for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Krakow, London and Bucharest, Lyon and Lisbon, Lyon and London, Berlin and Lisbon, Berlin and Zurich, Venice and Lyon, Berlin and London, Berlin and Krakow, Venice and London, Lyon and Bucharest, Zurich and Krakow, Lisbon and Zurich, Zurich and London, Riga and Bucharest, Lisbon and London, Riga and Zurich, Venice and Lisbon, Zurich and Bucharest, Berlin and Venice, Berlin and Riga, Lisbon and Riga, Venice and Zurich, Lisbon and Bucharest, Krakow and London.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. During day 18 and day 20, you have to attend a conference in Krakow. You plan to stay in London for 4 days. You want to spend 4 days in Bucharest. You want to meet a friend in Bucharest between day 23 and day 26. You plan to stay in Berlin for 4 days. You have to attend a workshop in Berlin between day 1 and day 4. You want to spend 2 days in Zurich. You plan to stay in Lyon for 5 days. From day 5 to day 9, there is a annual show you want to attend in Lyon. You plan to stay in Lisbon for 5 days. You would like to visit Riga for 5 days. You plan to stay in Venice for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Krakow, from London to Bucharest, from Lyon to Lisbon, from Lyon to London, from Berlin to Lisbon, from Berlin to Zurich, from Venice to Lyon, from Berlin to London, from Berlin to Krakow, from Venice to London, from Lyon to Bucharest, from Zurich to Krakow, from Lisbon to Zurich, from Zurich to London, from Riga to Bucharest, from Lisbon to London, from Riga to Zurich, from Venice to Lisbon, from Zurich to Bucharest, from Berlin to Venice, from Berlin to Riga, from Lisbon to Riga, from Venice to Zurich, from Lisbon to Bucharest, from Krakow to London.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 26 days:\n\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Riga.\n**Day 13-17:** Visit Riga for 5 days.\n**Day 17:** Fly from Riga to Zurich.\n**Day 17-18:** Visit Zurich for 2 days.\n**Day 18:** Fly from Zurich to Krakow.\n**Day 18-20:** Visit Krakow for 3 days.\n**Day 20:** Fly from Krakow to London.\n**Day 20-23:** Visit London for 4 days.\n**Day 23:** Fly from London to Bucharest.\n**Day 23-26:** Visit Bucharest for 4 days.",
    "id": "trip_planning_example_1397",
    "estimated_output_tokens": 4159,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: London, Duration: 4 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Zurich, Duration: 2 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Lisbon, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 5 - 9.\n* City: Krakow, Fixed Schedule: Day 18 - 20.\n* City: Bucharest, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: London, Duration: 4 days.\n* City: Zurich, Duration: 2 days.\n* City: Lisbon, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 5 - 9).\n |- The departure day of Berlin is Day 4. The arrival day of Lyon is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Zurich, Lisbon, Riga, Venice] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Berlin to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 9).\n   |- The departure day of London is Day 7. The arrival day of Lyon is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 9).\n   |- The departure day of Zurich is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 9).\n   |- The departure day of Lisbon is Day 8. The arrival day of Lyon is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 9).\n   |- The departure day of Riga is Day 8. The arrival day of Lyon is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 5 - 9).\n   |- The departure day of Venice is Day 5. The arrival day of Lyon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 18 - 20).\n     |- The departure day of Lyon is Day 9. The arrival day of Krakow is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Venice, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Zurich, Lisbon, Riga] and explore these options in order.\n       |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lyon to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 18 - 20).\n       |- The departure day of London is Day 12. The arrival day of Krakow is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Venice, Lyon, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Lisbon, Riga] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from London to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from London to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lyon to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lyon to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 18 - 20).\n       |- The departure day of Lisbon is Day 13. The arrival day of Krakow is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Venice, Lyon, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Zurich, Riga] and explore these options in order.\n         |- Try arranging to visit London from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Lisbon to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 18 - 20).\n         |- The departure day of London is Day 16. The arrival day of Krakow is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Berlin, Venice, Lyon, Lisbon, London].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Riga] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from London to Zurich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from London to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lisbon to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 18 - 20).\n         |- The departure day of Zurich is Day 14. The arrival day of Krakow is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Berlin, Venice, Lyon, Lisbon, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Riga] and explore these options in order.\n           |- Try arranging to visit London from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Zurich to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 18 - 20).\n           |- The departure day of London is Day 17. The arrival day of Krakow is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Venice, Lyon, Lisbon, Zurich, London].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n             |- Try arranging to visit Riga from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from London to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Zurich to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 18 - 20).\n         |- The departure day of Riga is Day 17. The arrival day of Krakow is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Berlin, Venice, Lyon, Lisbon, Riga].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Zurich] and explore these options in order.\n           |- Try arranging to visit London from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Riga to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Riga to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Krakow (Day 18 - 20).\n           |- The departure day of Zurich is Day 18. The arrival day of Krakow is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Berlin, Venice, Lyon, Lisbon, Riga, Zurich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Zurich to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 23 - 26).\n             |- The departure day of Krakow is Day 20. The arrival day of Bucharest is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Berlin, Venice, Lyon, Lisbon, Riga, Zurich, Krakow].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n               |- Try arranging to visit London from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Krakow to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Bucharest (Day 23 - 26).\n               |- The departure day of London is Day 23. The arrival day of Bucharest is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Berlin, Venice, Lyon, Lisbon, Riga, Zurich, Krakow, London].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Bucharest.\n                 |- Try arranging to visit Bucharest from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from London to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Berlin, Venice, Lyon, Lisbon, Riga, Zurich, Krakow, London, Bucharest].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Berlin and visit Berlin for 4 days.\n**Day 4:** Fly from Berlin to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Lyon.\n**Day 5-9:** Visit Lyon for 5 days.\n**Day 9:** Fly from Lyon to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Riga.\n**Day 13-17:** Visit Riga for 5 days.\n**Day 17:** Fly from Riga to Zurich.\n**Day 17-18:** Visit Zurich for 2 days.\n**Day 18:** Fly from Zurich to Krakow.\n**Day 18-20:** Visit Krakow for 3 days.\n**Day 20:** Fly from Krakow to London.\n**Day 20-23:** Visit London for 4 days.\n**Day 23:** Fly from London to Bucharest.\n**Day 23-26:** Visit Bucharest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Salzburg**Frankfurt**Lyon**Prague**Stockholm**Stuttgart**Athens**Vilnius",
    "ground_truth_durations": "3**2**4**3**2**5**3**5**2",
    "num_cities": 9,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Athens"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Frankfurt",
        "Athens"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You would like to visit Istanbul for 3 days. You want to meet a friend in Istanbul between day 1 and day 3. You plan to stay in Frankfurt for 4 days. You would like to visit Lyon for 3 days. You plan to visit relatives in Lyon between day 7 and day 9. You want to spend 3 days in Stuttgart. You plan to stay in Stockholm for 5 days. You want to spend 2 days in Vilnius. You plan to stay in Salzburg for 2 days. You want to spend 2 days in Prague.\n\nHere are the cities that have direct flights:\nStuttgart and Athens, Istanbul and Salzburg, Istanbul and Lyon, Frankfurt and Prague, Stockholm and Athens, Lyon and Prague, Prague and Athens, Stockholm and Stuttgart, Frankfurt and Lyon, Athens and Vilnius, Frankfurt and Stuttgart, Istanbul and Athens, Istanbul and Frankfurt, Frankfurt and Stockholm, Istanbul and Vilnius, Frankfurt and Vilnius, Salzburg and Frankfurt, Prague and Stockholm, Frankfurt and Athens, Istanbul and Prague, Istanbul and Stockholm, Istanbul and Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You would like to visit Istanbul for 3 days. You want to meet a friend in Istanbul between day 1 and day 3. You plan to stay in Frankfurt for 4 days. You would like to visit Lyon for 3 days. You plan to visit relatives in Lyon between day 7 and day 9. You want to spend 3 days in Stuttgart. You plan to stay in Stockholm for 5 days. You want to spend 2 days in Vilnius. You plan to stay in Salzburg for 2 days. You want to spend 2 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Athens, from Istanbul to Salzburg, from Istanbul to Lyon, from Frankfurt to Prague, from Stockholm to Athens, from Lyon to Prague, from Prague to Athens, from Stockholm to Stuttgart, from Frankfurt to Lyon, from Athens to Vilnius, from Frankfurt to Stuttgart, from Istanbul to Athens, from Istanbul to Frankfurt, from Frankfurt to Stockholm, from Istanbul to Vilnius, from Frankfurt to Vilnius, from Salzburg to Frankfurt, from Prague to Stockholm, from Frankfurt to Athens, from Istanbul to Prague, from Istanbul to Stockholm, from Istanbul to Stuttgart.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 21 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Salzburg.\n**Day 3-4:** Visit Salzburg for 2 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Prague.\n**Day 9-10:** Visit Prague for 2 days.\n**Day 10:** Fly from Prague to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Vilnius.\n**Day 20-21:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1398",
    "estimated_output_tokens": 6121,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Frankfurt, Duration: 4 days.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Stuttgart, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Fixed Schedule: Day 7 - 9.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 7 - 9).\n |- The departure day of Istanbul is Day 3. The arrival day of Lyon is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Frankfurt, Stuttgart, Stockholm, Vilnius, Salzburg, Prague] and explore these options in order.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Athens is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Athens to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Lyon is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Stuttgart, Stockholm, Vilnius, Salzburg, Prague] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 9).\n     |- The departure day of Athens is Day 10. The arrival day of Lyon is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Frankfurt to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 9).\n     |- The departure day of Stuttgart is Day 8. The arrival day of Lyon is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 9).\n     |- The departure day of Stockholm is Day 10. The arrival day of Lyon is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 9).\n     |- The departure day of Vilnius is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Frankfurt, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vilnius to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Frankfurt to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 7 - 9).\n     |- The departure day of Prague is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Frankfurt, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Prague to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Istanbul to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Lyon is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Frankfurt, Stockholm, Vilnius, Salzburg, Prague] and explore these options in order.\n     |- Try arranging to visit Athens from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stuttgart to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 7 - 9).\n     |- The departure day of Athens is Day 9. The arrival day of Lyon is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stuttgart to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stuttgart to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Stockholm is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Istanbul, Stockholm].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Stockholm to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Vilnius is Day 4. The arrival day of Lyon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Vilnius].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Frankfurt, Stuttgart, Stockholm, Salzburg, Prague] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vilnius to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Vilnius to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Vilnius to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Vilnius to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vilnius to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Istanbul to Salzburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lyon (Day 7 - 9).\n   |- The departure day of Salzburg is Day 4. The arrival day of Lyon is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Istanbul, Salzburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Frankfurt, Stuttgart, Stockholm, Vilnius, Prague] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Salzburg to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Salzburg to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 7 - 9).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Lyon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Istanbul, Salzburg, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Lyon.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Frankfurt to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Stuttgart, Stockholm, Vilnius, Prague] and explore these options in order.\n         |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Lyon to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lyon to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Lyon to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lyon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lyon to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Stuttgart, Stockholm, Vilnius] and explore these options in order.\n           |- Try arranging to visit Athens from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Prague to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Athens].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm, Vilnius] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Athens to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Athens to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Athens to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Athens, Vilnius].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Vilnius to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stockholm from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Vilnius to Stockholm.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Prague to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Prague to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Stuttgart, Vilnius] and explore these options in order.\n             |- Try arranging to visit Athens from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Stockholm to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm, Athens].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vilnius] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Athens to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Athens to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm, Athens, Vilnius].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Vilnius to Stuttgart.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Stockholm to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm, Stuttgart].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius] and explore these options in order.\n               |- Try arranging to visit Athens from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Stuttgart to Athens.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm, Stuttgart, Athens].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Athens to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Istanbul, Salzburg, Frankfurt, Lyon, Prague, Stockholm, Stuttgart, Athens, Vilnius].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Salzburg.\n**Day 3-4:** Visit Salzburg for 2 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-7:** Visit Frankfurt for 4 days.\n**Day 7:** Fly from Frankfurt to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Prague.\n**Day 9-10:** Visit Prague for 2 days.\n**Day 10:** Fly from Prague to Stockholm.\n**Day 10-14:** Visit Stockholm for 5 days.\n**Day 14:** Fly from Stockholm to Stuttgart.\n**Day 14-16:** Visit Stuttgart for 3 days.\n**Day 16:** Fly from Stuttgart to Athens.\n**Day 16-20:** Visit Athens for 5 days.\n**Day 20:** Fly from Athens to Vilnius.\n**Day 20-21:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Zurich**Amsterdam**Seville**Lisbon**Budapest**Copenhagen**Riga**Tallinn",
    "ground_truth_durations": "5**3**5**5**5**3**2**3**2",
    "num_cities": 9,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Zurich",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You are going to attend a wedding in Budapest between day 19 and day 21. You want to spend 2 days in Copenhagen. You plan to stay in Riga for 3 days. You want to spend 5 days in Lisbon. You want to meet a friend in Lisbon between day 15 and day 19. You plan to stay in Tallinn for 2 days. You would like to visit Amsterdam for 5 days. You would like to visit Seville for 5 days. You would like to meet your friends at Seville between day 11 and day 15 to tour together. You want to spend 3 days in Zurich. You want to spend 5 days in Mykonos. During day 1 and day 5, you have to attend a conference in Mykonos.\n\nHere are the cities that have direct flights:\nAmsterdam and Seville, from Riga to Tallinn, Amsterdam and Riga, Mykonos and Zurich, Zurich and Riga, Zurich and Amsterdam, Mykonos and Budapest, Amsterdam and Lisbon, Amsterdam and Tallinn, Lisbon and Budapest, Lisbon and Riga, Amsterdam and Copenhagen, Seville and Lisbon, Zurich and Lisbon, Amsterdam and Budapest, Zurich and Tallinn, Lisbon and Copenhagen, Mykonos and Amsterdam, Copenhagen and Tallinn, Budapest and Copenhagen, Zurich and Budapest, Copenhagen and Riga, Zurich and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 9 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You are going to attend a wedding in Budapest between day 19 and day 21. You want to spend 2 days in Copenhagen. You plan to stay in Riga for 3 days. You want to spend 5 days in Lisbon. You want to meet a friend in Lisbon between day 15 and day 19. You plan to stay in Tallinn for 2 days. You would like to visit Amsterdam for 5 days. You would like to visit Seville for 5 days. You would like to meet your friends at Seville between day 11 and day 15 to tour together. You want to spend 3 days in Zurich. You want to spend 5 days in Mykonos. During day 1 and day 5, you have to attend a conference in Mykonos.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Seville, from Riga to Tallinn, from Amsterdam to Riga, from Mykonos to Zurich, from Zurich to Riga, from Zurich to Amsterdam, from Mykonos to Budapest, from Amsterdam to Lisbon, from Amsterdam to Tallinn, from Lisbon to Budapest, from Lisbon to Riga, from Amsterdam to Copenhagen, from Seville to Lisbon, from Zurich to Lisbon, from Amsterdam to Budapest, from Zurich to Tallinn, from Lisbon to Copenhagen, from Mykonos to Amsterdam, from Copenhagen to Tallinn, from Budapest to Copenhagen, from Zurich to Budapest, from Copenhagen to Riga, from Zurich to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 9 European cities for 25 days:\n\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Lisbon.\n**Day 15-19:** Visit Lisbon for 5 days.\n**Day 19:** Fly from Lisbon to Budapest.\n**Day 19-21:** Visit Budapest for 3 days.\n**Day 21:** Fly from Budapest to Copenhagen.\n**Day 21-22:** Visit Copenhagen for 2 days.\n**Day 22:** Fly from Copenhagen to Riga.\n**Day 22-24:** Visit Riga for 3 days.\n**Day 24:** Fly from Riga to Tallinn.\n**Day 24-25:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1399",
    "estimated_output_tokens": 6002,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Copenhagen, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Tallinn, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Zurich, Duration: 3 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 5.\n* City: Seville, Fixed Schedule: Day 11 - 15.\n* City: Lisbon, Fixed Schedule: Day 15 - 19.\n* City: Budapest, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Tallinn, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Zurich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 11 - 15).\n |- The departure day of Mykonos is Day 5. The arrival day of Seville is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Tallinn, Amsterdam, Zurich] and explore these options in order.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Mykonos to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Mykonos to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 11 - 15).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Seville is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Mykonos, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Tallinn, Zurich] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Amsterdam to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 11 - 15).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Seville is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Amsterdam, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Zurich] and explore these options in order.\n       |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 11 - 15).\n       |- The departure day of Riga is Day 12. The arrival day of Seville is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 11 - 15).\n       |- The departure day of Tallinn is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Mykonos, Amsterdam, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Copenhagen to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 11 - 15).\n     |- The departure day of Riga is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Mykonos, Amsterdam, Riga].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 11 - 15).\n     |- The departure day of Tallinn is Day 10. The arrival day of Seville is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Mykonos, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Zurich] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Tallinn to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Tallinn to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Zurich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Mykonos to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Seville (Day 11 - 15).\n   |- The departure day of Zurich is Day 7. The arrival day of Seville is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Mykonos, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Tallinn, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 11 - 15).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Seville is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Zurich, Copenhagen].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Copenhagen to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 11 - 15).\n       |- The departure day of Riga is Day 10. The arrival day of Seville is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Zurich, Copenhagen, Riga].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 11 - 15).\n         |- The departure day of Tallinn is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Mykonos, Zurich, Copenhagen, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Tallinn to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Riga to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Copenhagen to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Seville (Day 11 - 15).\n       |- The departure day of Tallinn is Day 9. The arrival day of Seville is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Mykonos, Zurich, Copenhagen, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Tallinn to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Tallinn to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Copenhagen to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Zurich to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 11 - 15).\n     |- The departure day of Riga is Day 9. The arrival day of Seville is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Mykonos, Zurich, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Tallinn, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Riga to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 11 - 15).\n       |- The departure day of Tallinn is Day 10. The arrival day of Seville is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Zurich, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Tallinn to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 11 - 15).\n     |- The departure day of Tallinn is Day 8. The arrival day of Seville is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Zurich, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Tallinn to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Zurich to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 11 - 15).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Mykonos, Zurich, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Amsterdam to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lisbon (Day 15 - 19).\n       |- The departure day of Seville is Day 15. The arrival day of Lisbon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Mykonos, Zurich, Amsterdam, Seville].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Seville to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Budapest (Day 19 - 21).\n         |- The departure day of Lisbon is Day 19. The arrival day of Budapest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Mykonos, Zurich, Amsterdam, Seville, Lisbon].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- Yes. The city with an arrival day of Day 19 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Lisbon to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Mykonos, Zurich, Amsterdam, Seville, Lisbon, Budapest].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Riga, Tallinn] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Budapest to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Mykonos, Zurich, Amsterdam, Seville, Lisbon, Budapest, Copenhagen].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn] and explore these options in order.\n               |- Try arranging to visit Riga from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Copenhagen to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Mykonos, Zurich, Amsterdam, Seville, Lisbon, Budapest, Copenhagen, Riga].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Riga to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Mykonos, Zurich, Amsterdam, Seville, Lisbon, Budapest, Copenhagen, Riga, Tallinn].\n                  |- All 9 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Mykonos and visit Mykonos for 5 days.\n**Day 5:** Fly from Mykonos to Zurich.\n**Day 5-7:** Visit Zurich for 3 days.\n**Day 7:** Fly from Zurich to Amsterdam.\n**Day 7-11:** Visit Amsterdam for 5 days.\n**Day 11:** Fly from Amsterdam to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Lisbon.\n**Day 15-19:** Visit Lisbon for 5 days.\n**Day 19:** Fly from Lisbon to Budapest.\n**Day 19-21:** Visit Budapest for 3 days.\n**Day 21:** Fly from Budapest to Copenhagen.\n**Day 21-22:** Visit Copenhagen for 2 days.\n**Day 22:** Fly from Copenhagen to Riga.\n**Day 22-24:** Visit Riga for 3 days.\n**Day 24:** Fly from Riga to Tallinn.\n**Day 24-25:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Manchester**Nice**Reykjavik**Stuttgart**Berlin**Vilnius**Oslo**Prague**Florence",
    "ground_truth_durations": "4**3**2**2**5**4**5**4**2**3",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Vilnius",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You have to attend a workshop in Berlin between day 12 and day 15. You would like to visit Prague for 2 days. You plan to stay in Stuttgart for 5 days. You would like to visit Manchester for 3 days. You want to spend 2 days in Nice. You would like to visit Reykjavik for 2 days. You would like to visit Florence for 3 days. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 15 and day 19 to tour together. You plan to stay in Oslo for 4 days. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, Manchester and Stuttgart, Nice and Berlin, Oslo and Prague, Stuttgart and Berlin, Manchester and Nice, Reykjavik and Oslo, Reykjavik and Prague, Manchester and Prague, Reykjavik and Berlin, Dubrovnik and Manchester, Manchester and Oslo, Manchester and Berlin, Prague and Florence, Berlin and Vilnius, Dubrovnik and Oslo, Nice and Oslo, Berlin and Oslo, Nice and Reykjavik, Vilnius and Oslo.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You have to attend a workshop in Berlin between day 12 and day 15. You would like to visit Prague for 2 days. You plan to stay in Stuttgart for 5 days. You would like to visit Manchester for 3 days. You want to spend 2 days in Nice. You would like to visit Reykjavik for 2 days. You would like to visit Florence for 3 days. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 15 and day 19 to tour together. You plan to stay in Oslo for 4 days. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Stuttgart, from Manchester to Stuttgart, from Nice to Berlin, from Oslo to Prague, from Stuttgart to Berlin, from Manchester to Nice, from Reykjavik to Oslo, from Reykjavik to Prague, from Manchester to Prague, from Reykjavik to Berlin, from Dubrovnik to Manchester, from Manchester to Oslo, from Manchester to Berlin, from Prague to Florence, from Berlin to Vilnius, from Dubrovnik to Oslo, from Nice to Oslo, from Berlin to Oslo, from Nice to Reykjavik, from Vilnius to Oslo.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.\n**Day 8:** Fly from Reykjavik to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.\n**Day 15:** Fly from Berlin to Vilnius.\n**Day 15-19:** Visit Vilnius for 5 days.\n**Day 19:** Fly from Vilnius to Oslo.\n**Day 19-22:** Visit Oslo for 4 days.\n**Day 22:** Fly from Oslo to Prague.\n**Day 22-23:** Visit Prague for 2 days.\n**Day 23:** Fly from Prague to Florence.\n**Day 23-25:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1400",
    "estimated_output_tokens": 4705,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Prague, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Florence, Duration: 3 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Oslo, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Fixed Schedule: Day 12 - 15.\n* City: Vilnius, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Florence, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 12 - 15).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Berlin is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Manchester, Nice, Reykjavik, Florence, Oslo] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 12 - 15).\n   |- The departure day of Manchester is Day 6. The arrival day of Berlin is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Nice, Reykjavik, Florence, Oslo] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Manchester to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 12 - 15).\n     |- The departure day of Prague is Day 7. The arrival day of Berlin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Manchester, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Reykjavik, Florence, Oslo] and explore these options in order.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Prague to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Prague to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 12 - 15).\n       |- The departure day of Florence is Day 9. The arrival day of Berlin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Dubrovnik, Manchester, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Nice, Reykjavik, Oslo] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Florence to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Florence to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Florence to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Florence to Oslo.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Prague to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 12 - 15).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Berlin is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dubrovnik, Manchester, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Nice, Reykjavik, Florence, Oslo] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Stuttgart to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Stuttgart to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Manchester to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 12 - 15).\n     |- The departure day of Nice is Day 7. The arrival day of Berlin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Manchester, Nice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Reykjavik, Florence, Oslo] and explore these options in order.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Nice to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Nice to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Nice to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 12 - 15).\n       |- The departure day of Reykjavik is Day 8. The arrival day of Berlin is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Florence, Oslo] and explore these options in order.\n         |- Try arranging to visit Prague from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Reykjavik to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 12 - 15).\n         |- The departure day of Prague is Day 9. The arrival day of Berlin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Prague].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Florence, Oslo] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Prague to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Prague to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 12 - 15).\n           |- The departure day of Florence is Day 11. The arrival day of Berlin is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Prague, Florence].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Oslo] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Florence to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Florence to Oslo.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Prague to Oslo.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Reykjavik to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 12 - 15).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Stuttgart to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 15 - 19).\n           |- The departure day of Berlin is Day 15. The arrival day of Vilnius is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart, Berlin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Berlin to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart, Berlin, Vilnius].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague, Florence, Oslo] and explore these options in order.\n               |- Try arranging to visit Prague from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Vilnius to Prague.\n               |- No. Drop this branch.\n               |- Try arranging to visit Florence from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Vilnius to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Oslo from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Vilnius to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart, Berlin, Vilnius, Oslo].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Prague, Florence] and explore these options in order.\n                 |- Try arranging to visit Prague from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Oslo to Prague.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart, Berlin, Vilnius, Oslo, Prague].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                   |- Try arranging to visit Florence from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                   |- Check for direct flight from Prague to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Dubrovnik, Manchester, Nice, Reykjavik, Stuttgart, Berlin, Vilnius, Oslo, Prague, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Reykjavik.\n**Day 7-8:** Visit Reykjavik for 2 days.\n**Day 8:** Fly from Reykjavik to Stuttgart.\n**Day 8-12:** Visit Stuttgart for 5 days.\n**Day 12:** Fly from Stuttgart to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.\n**Day 15:** Fly from Berlin to Vilnius.\n**Day 15-19:** Visit Vilnius for 5 days.\n**Day 19:** Fly from Vilnius to Oslo.\n**Day 19-22:** Visit Oslo for 4 days.\n**Day 22:** Fly from Oslo to Prague.\n**Day 22-23:** Visit Prague for 2 days.\n**Day 23:** Fly from Prague to Florence.\n**Day 23-25:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Istanbul**London**Helsinki**Tallinn**Stockholm**Athens**Milan**Reykjavik**Lisbon",
    "ground_truth_durations": "4**2**4**2**5**5**3**4**5**5",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 26,
        "end_day": 30
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Manchester",
        "Athens"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Athens",
        "Milan"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Lisbon"
      ],
      [
        "Manchester",
        "Milan"
      ],
      [
        "London",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together. You would like to visit Reykjavik for 5 days. You would like to visit Helsinki for 2 days. You would like to visit Stockholm for 5 days. You would like to visit Manchester for 4 days. You want to spend 4 days in Milan. You would like to visit London for 4 days. During day 5 and day 8, you have to attend a conference in London. You want to spend 5 days in Tallinn. You plan to stay in Athens for 3 days. You have to attend a workshop in Athens between day 17 and day 19. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 26 and day 30.\n\nHere are the cities that have direct flights:\nManchester and Helsinki, Istanbul and Stockholm, Stockholm and Milan, London and Milan, from Reykjavik to Athens, Stockholm and Athens, Istanbul and Athens, from Istanbul to Tallinn, London and Helsinki, Manchester and Stockholm, Istanbul and Lisbon, Athens and Lisbon, Helsinki and Tallinn, Manchester and Athens, Helsinki and Reykjavik, Milan and Lisbon, Manchester and Istanbul, London and Athens, London and Lisbon, Reykjavik and Lisbon, Helsinki and Stockholm, Tallinn and Stockholm, Milan and Reykjavik, Helsinki and Lisbon, Istanbul and Helsinki, Helsinki and Milan, London and Reykjavik, Istanbul and Milan, Stockholm and Lisbon, Athens and Milan, Istanbul and London, Manchester and London, Stockholm and Reykjavik, Manchester and Lisbon, Manchester and Milan, London and Stockholm.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 2 days. You would like to meet your friends at Istanbul between day 4 and day 5 to tour together. You would like to visit Reykjavik for 5 days. You would like to visit Helsinki for 2 days. You would like to visit Stockholm for 5 days. You would like to visit Manchester for 4 days. You want to spend 4 days in Milan. You would like to visit London for 4 days. During day 5 and day 8, you have to attend a conference in London. You want to spend 5 days in Tallinn. You plan to stay in Athens for 3 days. You have to attend a workshop in Athens between day 17 and day 19. You would like to visit Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 26 and day 30.\n\nHere are the cities that have direct flights:\nfrom Manchester to Helsinki, from Istanbul to Stockholm, from Stockholm to Milan, from London to Milan, from Reykjavik to Athens, from Stockholm to Athens, from Istanbul to Athens, from Istanbul to Tallinn, from London to Helsinki, from Manchester to Stockholm, from Istanbul to Lisbon, from Athens to Lisbon, from Helsinki to Tallinn, from Manchester to Athens, from Helsinki to Reykjavik, from Milan to Lisbon, from Manchester to Istanbul, from London to Athens, from London to Lisbon, from Reykjavik to Lisbon, from Helsinki to Stockholm, from Tallinn to Stockholm, from Milan to Reykjavik, from Helsinki to Lisbon, from Istanbul to Helsinki, from Helsinki to Milan, from London to Reykjavik, from Istanbul to Milan, from Stockholm to Lisbon, from Athens to Milan, from Istanbul to London, from Manchester to London, from Stockholm to Reykjavik, from Manchester to Lisbon, from Manchester to Milan, from London to Stockholm.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Helsinki.\n**Day 8-9:** Visit Helsinki for 2 days.\n**Day 9:** Fly from Helsinki to Tallinn.\n**Day 9-13:** Visit Tallinn for 5 days.\n**Day 13:** Fly from Tallinn to Stockholm.\n**Day 13-17:** Visit Stockholm for 5 days.\n**Day 17:** Fly from Stockholm to Athens.\n**Day 17-19:** Visit Athens for 3 days.\n**Day 19:** Fly from Athens to Milan.\n**Day 19-22:** Visit Milan for 4 days.\n**Day 22:** Fly from Milan to Reykjavik.\n**Day 22-26:** Visit Reykjavik for 5 days.\n**Day 26:** Fly from Reykjavik to Lisbon.\n**Day 26-30:** Visit Lisbon for 5 days.",
    "id": "trip_planning_example_1401",
    "estimated_output_tokens": 6469,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Reykjavik, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Milan, Duration: 4 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Duration: 5 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 26 - 30.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 4 - 5.\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Athens, Fixed Schedule: Day 17 - 19.\n* City: Lisbon, Fixed Schedule: Day 26 - 30.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Stockholm, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Milan, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Stockholm, Manchester, Milan, Tallinn] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Reykjavik is Day 5. The arrival day of Istanbul is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Helsinki is Day 2. The arrival day of Istanbul is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Manchester, Milan, Tallinn] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 4 - 5).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Istanbul is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 4 - 5).\n   |- The departure day of Stockholm is Day 6. The arrival day of Istanbul is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 4 - 5).\n   |- The departure day of Milan is Day 5. The arrival day of Istanbul is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Helsinki to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 4 - 5).\n   |- The departure day of Tallinn is Day 6. The arrival day of Istanbul is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Stockholm is Day 5. The arrival day of Istanbul is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 4 - 5).\n |- The departure day of Manchester is Day 4. The arrival day of Istanbul is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 5 - 8).\n   |- The departure day of Istanbul is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n     |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 17 - 19).\n     |- The departure day of London is Day 8. The arrival day of Athens is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Istanbul, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Stockholm, Milan, Tallinn] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 17 - 19).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Athens is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Manchester, Istanbul, London, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Stockholm, Milan, Tallinn] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Reykjavik to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from London to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 17 - 19).\n       |- The departure day of Helsinki is Day 9. The arrival day of Athens is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Manchester, Istanbul, London, Helsinki].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Milan, Tallinn] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 17 - 19).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Athens is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Manchester, Istanbul, London, Helsinki, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Milan, Tallinn] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 17 - 19).\n         |- The departure day of Stockholm is Day 13. The arrival day of Athens is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Manchester, Istanbul, London, Helsinki, Stockholm].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan, Tallinn] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Stockholm to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 17 - 19).\n           |- The departure day of Reykjavik is Day 17. The arrival day of Athens is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Istanbul, London, Helsinki, Stockholm, Reykjavik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Reykjavik to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lisbon (Day 26 - 30).\n             |- The departure day of Athens is Day 19. The arrival day of Lisbon is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Manchester, Istanbul, London, Helsinki, Stockholm, Reykjavik, Athens].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan, Tallinn] and explore these options in order.\n               |- Try arranging to visit Milan from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Athens to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lisbon (Day 26 - 30).\n               |- The departure day of Milan is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Manchester, Istanbul, London, Helsinki, Stockholm, Reykjavik, Athens, Milan].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Milan to Tallinn.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Athens to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Stockholm to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 17 - 19).\n           |- The departure day of Milan is Day 16. The arrival day of Athens is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Manchester, Istanbul, London, Helsinki, Stockholm, Milan].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Tallinn] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 17 - 19).\n             |- The departure day of Reykjavik is Day 20. The arrival day of Athens is Day 17. Day 20 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Stockholm to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Helsinki to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 17 - 19).\n         |- The departure day of Milan is Day 12. The arrival day of Athens is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Manchester, Istanbul, London, Helsinki, Milan].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Tallinn] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Milan to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 17 - 19).\n           |- The departure day of Reykjavik is Day 16. The arrival day of Athens is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Manchester, Istanbul, London, Helsinki, Milan, Reykjavik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Tallinn] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Reykjavik to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Reykjavik to Tallinn.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Milan to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Milan to Tallinn.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Helsinki to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Athens (Day 17 - 19).\n         |- The departure day of Tallinn is Day 13. The arrival day of Athens is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Milan] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 17 - 19).\n           |- The departure day of Stockholm is Day 17. The arrival day of Athens is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn, Stockholm].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Athens.\n             |- Try arranging to visit Athens from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Stockholm to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lisbon (Day 26 - 30).\n             |- The departure day of Athens is Day 19. The arrival day of Lisbon is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn, Stockholm, Athens].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Milan] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Athens to Reykjavik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Milan from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Athens to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lisbon (Day 26 - 30).\n               |- The departure day of Milan is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn, Stockholm, Athens, Milan].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Milan to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Lisbon (Day 26 - 30).\n                 |- The departure day of Reykjavik is Day 26. The arrival day of Lisbon is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn, Stockholm, Athens, Milan, Reykjavik].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Lisbon.\n                   |- Try arranging to visit Lisbon from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                   |- Check for direct flight from Reykjavik to Lisbon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Manchester, Istanbul, London, Helsinki, Tallinn, Stockholm, Athens, Milan, Reykjavik, Lisbon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Istanbul.\n**Day 4-5:** Visit Istanbul for 2 days.\n**Day 5:** Fly from Istanbul to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Helsinki.\n**Day 8-9:** Visit Helsinki for 2 days.\n**Day 9:** Fly from Helsinki to Tallinn.\n**Day 9-13:** Visit Tallinn for 5 days.\n**Day 13:** Fly from Tallinn to Stockholm.\n**Day 13-17:** Visit Stockholm for 5 days.\n**Day 17:** Fly from Stockholm to Athens.\n**Day 17-19:** Visit Athens for 3 days.\n**Day 19:** Fly from Athens to Milan.\n**Day 19-22:** Visit Milan for 4 days.\n**Day 22:** Fly from Milan to Reykjavik.\n**Day 22-26:** Visit Reykjavik for 5 days.\n**Day 26:** Fly from Reykjavik to Lisbon.\n**Day 26-30:** Visit Lisbon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Paris**Rome**Venice**Stuttgart**Milan**Vienna**Dubrovnik**Barcelona**Lisbon",
    "ground_truth_durations": "2**5**3**3**4**5**5**3**3**2",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 23,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 25,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Paris"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Stuttgart",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Milan. You would like to meet your friends at Milan between day 13 and day 17 to tour together. You would like to visit Venice for 3 days. You plan to visit relatives in Venice between day 8 and day 10. You want to spend 3 days in Barcelona. You are going to attend a wedding in Barcelona between day 23 and day 25. You plan to stay in Stuttgart for 4 days. You want to spend 5 days in Vienna. You plan to stay in Dubrovnik for 3 days. You would like to visit Paris for 5 days. During day 2 and day 6, you have to attend a conference in Paris. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 25 and day 26. You plan to stay in Rome for 3 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nParis and Lisbon, Milan and Lisbon, Paris and Stuttgart, Reykjavik and Rome, Vienna and Lisbon, Reykjavik and Lisbon, Rome and Vienna, Vienna and Dubrovnik, Reykjavik and Barcelona, Reykjavik and Milan, Paris and Barcelona, Reykjavik and Paris, from Reykjavik to Stuttgart, Stuttgart and Barcelona, Paris and Venice, Dubrovnik and Barcelona, Paris and Milan, Reykjavik and Vienna, Venice and Stuttgart, Stuttgart and Lisbon, Rome and Lisbon, Rome and Venice, Rome and Dubrovnik, Milan and Barcelona, Rome and Stuttgart, Venice and Vienna, Venice and Lisbon, Milan and Vienna, Rome and Barcelona, Paris and Vienna, Paris and Rome, Barcelona and Lisbon, Stuttgart and Milan, Venice and Barcelona, Vienna and Barcelona, Stuttgart and Vienna.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Milan. You would like to meet your friends at Milan between day 13 and day 17 to tour together. You would like to visit Venice for 3 days. You plan to visit relatives in Venice between day 8 and day 10. You want to spend 3 days in Barcelona. You are going to attend a wedding in Barcelona between day 23 and day 25. You plan to stay in Stuttgart for 4 days. You want to spend 5 days in Vienna. You plan to stay in Dubrovnik for 3 days. You would like to visit Paris for 5 days. During day 2 and day 6, you have to attend a conference in Paris. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 25 and day 26. You plan to stay in Rome for 3 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Lisbon, from Milan to Lisbon, from Paris to Stuttgart, from Reykjavik to Rome, from Vienna to Lisbon, from Reykjavik to Lisbon, from Rome to Vienna, from Vienna to Dubrovnik, from Reykjavik to Barcelona, from Reykjavik to Milan, from Paris to Barcelona, from Reykjavik to Paris, from Reykjavik to Stuttgart, from Stuttgart to Barcelona, from Paris to Venice, from Dubrovnik to Barcelona, from Paris to Milan, from Reykjavik to Vienna, from Venice to Stuttgart, from Stuttgart to Lisbon, from Rome to Lisbon, from Rome to Venice, from Rome to Dubrovnik, from Milan to Barcelona, from Rome to Stuttgart, from Venice to Vienna, from Venice to Lisbon, from Milan to Vienna, from Rome to Barcelona, from Paris to Vienna, from Paris to Rome, from Barcelona to Lisbon, from Stuttgart to Milan, from Venice to Barcelona, from Vienna to Barcelona, from Stuttgart to Vienna.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Vienna.\n**Day 17-21:** Visit Vienna for 5 days.\n**Day 21:** Fly from Vienna to Dubrovnik.\n**Day 21-23:** Visit Dubrovnik for 3 days.\n**Day 23:** Fly from Dubrovnik to Barcelona.\n**Day 23-25:** Visit Barcelona for 3 days.\n**Day 25:** Fly from Barcelona to Lisbon.\n**Day 25-26:** Visit Lisbon for 2 days.",
    "id": "trip_planning_example_1402",
    "estimated_output_tokens": 3308,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 23 - 25.\n* City: Stuttgart, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 25 - 26.\n* City: Rome, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 2 - 6.\n* City: Venice, Fixed Schedule: Day 8 - 10.\n* City: Milan, Fixed Schedule: Day 13 - 17.\n* City: Barcelona, Fixed Schedule: Day 23 - 25.\n* City: Lisbon, Fixed Schedule: Day 25 - 26.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Vienna, Dubrovnik, Rome, Reykjavik] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Stuttgart is Day 4. The arrival day of Paris is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Vienna is Day 5. The arrival day of Paris is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Paris is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Rome is Day 3. The arrival day of Paris is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 6).\n |- The departure day of Reykjavik is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 8 - 10).\n   |- The departure day of Paris is Day 6. The arrival day of Venice is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna, Dubrovnik, Rome] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Vienna is Day 10. The arrival day of Venice is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 8 - 10).\n     |- The departure day of Rome is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Paris, Rome].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Rome to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 13 - 17).\n       |- The departure day of Venice is Day 10. The arrival day of Milan is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Reykjavik, Paris, Rome, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Vienna, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Venice to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 13 - 17).\n         |- The departure day of Stuttgart is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Stuttgart to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Barcelona (Day 23 - 25).\n           |- The departure day of Milan is Day 17. The arrival day of Barcelona is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart, Milan].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vienna, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Vienna from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Milan to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Barcelona (Day 23 - 25).\n             |- The departure day of Vienna is Day 21. The arrival day of Barcelona is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart, Milan, Vienna].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Vienna to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Barcelona (Day 23 - 25).\n               |- The departure day of Dubrovnik is Day 23. The arrival day of Barcelona is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart, Milan, Vienna, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Barcelona.\n                 |- Try arranging to visit Barcelona from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Dubrovnik to Barcelona.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Lisbon (Day 25 - 26).\n                 |- The departure day of Barcelona is Day 25. The arrival day of Lisbon is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart, Milan, Vienna, Dubrovnik, Barcelona].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Lisbon.\n                   |- Try arranging to visit Lisbon from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                   |- Check for direct flight from Barcelona to Lisbon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Reykjavik, Paris, Rome, Venice, Stuttgart, Milan, Vienna, Dubrovnik, Barcelona, Lisbon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Reykjavik and visit Reykjavik for 2 days.\n**Day 2:** Fly from Reykjavik to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Rome.\n**Day 6-8:** Visit Rome for 3 days.\n**Day 8:** Fly from Rome to Venice.\n**Day 8-10:** Visit Venice for 3 days.\n**Day 10:** Fly from Venice to Stuttgart.\n**Day 10-13:** Visit Stuttgart for 4 days.\n**Day 13:** Fly from Stuttgart to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Vienna.\n**Day 17-21:** Visit Vienna for 5 days.\n**Day 21:** Fly from Vienna to Dubrovnik.\n**Day 21-23:** Visit Dubrovnik for 3 days.\n**Day 23:** Fly from Dubrovnik to Barcelona.\n**Day 23-25:** Visit Barcelona for 3 days.\n**Day 25:** Fly from Barcelona to Lisbon.\n**Day 25-26:** Visit Lisbon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Madrid**Mykonos**Naples**Berlin**Salzburg**Hamburg**Oslo**Split**Stuttgart",
    "ground_truth_durations": "5**5**5**2**2**3**4**3**2**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Split"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Salzburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Salzburg. From day 15 to day 17, there is a annual show you want to attend in Salzburg. You would like to visit Oslo for 3 days. You plan to stay in Naples for 2 days. You want to spend 2 days in Berlin. You want to spend 2 days in Split. You would like to visit Hamburg for 4 days. You would like to visit Mykonos for 5 days. You plan to stay in Madrid for 5 days. You plan to visit relatives in Madrid between day 5 and day 9. You want to spend 5 days in Stuttgart. During day 23 and day 27, you have to attend a conference in Stuttgart. You want to spend 5 days in Rome. You are going to attend a wedding in Rome between day 1 and day 5.\n\nHere are the cities that have direct flights:\nMadrid and Split, Madrid and Hamburg, Rome and Hamburg, Naples and Stuttgart, Berlin and Split, Naples and Oslo, Mykonos and Naples, Rome and Naples, Rome and Berlin, Hamburg and Split, Hamburg and Oslo, Rome and Stuttgart, Salzburg and Hamburg, Hamburg and Stuttgart, Oslo and Split, Naples and Split, Madrid and Naples, Berlin and Oslo, Madrid and Mykonos, Naples and Berlin, Rome and Oslo, Madrid and Berlin, Split and Stuttgart, Rome and Mykonos, Madrid and Oslo, Rome and Madrid, Rome and Split, Berlin and Stuttgart, Berlin and Salzburg.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Salzburg. From day 15 to day 17, there is a annual show you want to attend in Salzburg. You would like to visit Oslo for 3 days. You plan to stay in Naples for 2 days. You want to spend 2 days in Berlin. You want to spend 2 days in Split. You would like to visit Hamburg for 4 days. You would like to visit Mykonos for 5 days. You plan to stay in Madrid for 5 days. You plan to visit relatives in Madrid between day 5 and day 9. You want to spend 5 days in Stuttgart. During day 23 and day 27, you have to attend a conference in Stuttgart. You want to spend 5 days in Rome. You are going to attend a wedding in Rome between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Madrid to Split, from Madrid to Hamburg, from Rome to Hamburg, from Naples to Stuttgart, from Berlin to Split, from Naples to Oslo, from Mykonos to Naples, from Rome to Naples, from Rome to Berlin, from Hamburg to Split, from Hamburg to Oslo, from Rome to Stuttgart, from Salzburg to Hamburg, from Hamburg to Stuttgart, from Oslo to Split, from Naples to Split, from Madrid to Naples, from Berlin to Oslo, from Madrid to Mykonos, from Naples to Berlin, from Rome to Oslo, from Madrid to Berlin, from Split to Stuttgart, from Rome to Mykonos, from Madrid to Oslo, from Rome to Madrid, from Rome to Split, from Berlin to Stuttgart, from Berlin to Salzburg.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n**Day 13:** Fly from Mykonos to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.\n**Day 17:** Fly from Salzburg to Hamburg.\n**Day 17-20:** Visit Hamburg for 4 days.\n**Day 20:** Fly from Hamburg to Oslo.\n**Day 20-22:** Visit Oslo for 3 days.\n**Day 22:** Fly from Oslo to Split.\n**Day 22-23:** Visit Split for 2 days.\n**Day 23:** Fly from Split to Stuttgart.\n**Day 23-27:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_1403",
    "estimated_output_tokens": 9738,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Oslo, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n* City: Berlin, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 5.\n* City: Madrid, Fixed Schedule: Day 5 - 9.\n* City: Salzburg, Fixed Schedule: Day 15 - 17.\n* City: Stuttgart, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Naples, Duration: 2 days.\n* City: Berlin, Duration: 2 days.\n* City: Split, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 5 - 9).\n |- The departure day of Rome is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Rome to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Salzburg (Day 15 - 17).\n   |- The departure day of Madrid is Day 9. The arrival day of Salzburg is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Rome, Madrid].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Berlin, Split, Hamburg, Mykonos] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Madrid to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Oslo is Day 11. The arrival day of Salzburg is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Madrid, Oslo].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Berlin, Split, Hamburg, Mykonos] and explore these options in order.\n       |- Try arranging to visit Naples from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 15 - 17).\n       |- The departure day of Split is Day 12. The arrival day of Salzburg is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Madrid, Oslo, Split].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Berlin, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Split to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Split to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Split to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Oslo to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Oslo to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Madrid to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Naples is Day 10. The arrival day of Salzburg is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Madrid, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Berlin, Split, Hamburg, Mykonos] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 15 - 17).\n       |- The departure day of Oslo is Day 12. The arrival day of Salzburg is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Madrid, Naples, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Split, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Salzburg (Day 15 - 17).\n         |- The departure day of Split is Day 13. The arrival day of Salzburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Madrid, Naples, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Hamburg, Mykonos] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Split to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Split to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Oslo to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Oslo to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Naples to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 15 - 17).\n       |- The departure day of Berlin is Day 11. The arrival day of Salzburg is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Madrid, Naples, Berlin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Split, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Berlin to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 15 - 17).\n         |- The departure day of Oslo is Day 13. The arrival day of Salzburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Madrid, Naples, Berlin, Oslo].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Hamburg, Mykonos] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Oslo to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 15 - 17).\n           |- The departure day of Split is Day 14. The arrival day of Salzburg is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Rome, Madrid, Naples, Berlin, Oslo, Split].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Mykonos] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Split to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Split to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Oslo to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Oslo to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Berlin to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 15 - 17).\n         |- The departure day of Split is Day 12. The arrival day of Salzburg is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Rome, Madrid, Naples, Berlin, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Hamburg, Mykonos] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Split to Oslo.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Split to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Split to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Berlin to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Berlin to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Naples to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 15 - 17).\n       |- The departure day of Split is Day 11. The arrival day of Salzburg is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Madrid, Naples, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Berlin, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Split to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Split to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Naples to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Naples to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Madrid to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Berlin is Day 10. The arrival day of Salzburg is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Madrid, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Split, Hamburg, Mykonos] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Berlin to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 15 - 17).\n       |- The departure day of Oslo is Day 12. The arrival day of Salzburg is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Madrid, Berlin, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Split, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Salzburg (Day 15 - 17).\n         |- The departure day of Split is Day 13. The arrival day of Salzburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Rome, Madrid, Berlin, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Hamburg, Mykonos] and explore these options in order.\n           |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Split to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Split to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Oslo to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Oslo to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Salzburg (Day 15 - 17).\n       |- The departure day of Split is Day 11. The arrival day of Salzburg is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Madrid, Berlin, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Hamburg, Mykonos] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Split to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Split to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Berlin to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Madrid to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Split is Day 10. The arrival day of Salzburg is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Madrid, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Berlin, Hamburg, Mykonos] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Split to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Madrid to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Hamburg is Day 12. The arrival day of Salzburg is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Rome, Madrid, Hamburg].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Berlin, Split, Mykonos] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Hamburg to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Salzburg (Day 15 - 17).\n       |- The departure day of Oslo is Day 14. The arrival day of Salzburg is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Madrid, Hamburg, Oslo].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Berlin, Split, Mykonos] and explore these options in order.\n         |- Try arranging to visit Naples from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Oslo to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Oslo to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Oslo to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 15 - 17).\n         |- The departure day of Split is Day 15. The arrival day of Salzburg is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Rome, Madrid, Hamburg, Oslo, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Salzburg.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Salzburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Oslo to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Hamburg to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Hamburg to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Hamburg to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Salzburg (Day 15 - 17).\n       |- The departure day of Split is Day 13. The arrival day of Salzburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Madrid, Hamburg, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Berlin, Mykonos] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Hamburg to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Madrid to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 15 - 17).\n     |- The departure day of Mykonos is Day 13. The arrival day of Salzburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Rome, Madrid, Mykonos].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Berlin, Split, Hamburg] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Mykonos to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Mykonos to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 15 - 17).\n       |- The departure day of Naples is Day 14. The arrival day of Salzburg is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Madrid, Mykonos, Naples].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Berlin, Split, Hamburg] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Naples to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 15 - 17).\n         |- The departure day of Oslo is Day 16. The arrival day of Salzburg is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Naples to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 15 - 17).\n         |- The departure day of Berlin is Day 15. The arrival day of Salzburg is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Salzburg.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 23 - 27).\n           |- The departure day of Salzburg is Day 17. The arrival day of Stuttgart is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin, Salzburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Split, Hamburg] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Salzburg to Oslo.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Salzburg to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Salzburg to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 23 - 27).\n             |- The departure day of Hamburg is Day 20. The arrival day of Stuttgart is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin, Salzburg, Hamburg].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo, Split] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Hamburg to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Stuttgart (Day 23 - 27).\n               |- The departure day of Oslo is Day 22. The arrival day of Stuttgart is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin, Salzburg, Hamburg, Oslo].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Oslo to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Stuttgart (Day 23 - 27).\n                 |- The departure day of Split is Day 23. The arrival day of Stuttgart is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin, Salzburg, Hamburg, Oslo, Split].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Stuttgart.\n                   |- Try arranging to visit Stuttgart from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Split to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Rome, Madrid, Mykonos, Naples, Berlin, Salzburg, Hamburg, Oslo, Split, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Mykonos.\n**Day 9-13:** Visit Mykonos for 5 days.\n**Day 13:** Fly from Mykonos to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Berlin.\n**Day 14-15:** Visit Berlin for 2 days.\n**Day 15:** Fly from Berlin to Salzburg.\n**Day 15-17:** Visit Salzburg for 3 days.\n**Day 17:** Fly from Salzburg to Hamburg.\n**Day 17-20:** Visit Hamburg for 4 days.\n**Day 20:** Fly from Hamburg to Oslo.\n**Day 20-22:** Visit Oslo for 3 days.\n**Day 22:** Fly from Oslo to Split.\n**Day 22-23:** Visit Split for 2 days.\n**Day 23:** Fly from Split to Stuttgart.\n**Day 23-27:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Reykjavik**Prague**Istanbul**Athens**Stockholm**Geneva**Helsinki**Naples**Valencia",
    "ground_truth_durations": "3**5**4**5**3**4**3**5**5**4",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Naples"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 4 days in Stockholm. From day 16 to day 19, there is a annual show you want to attend in Stockholm. You plan to stay in Helsinki for 5 days. You want to meet a friend in Helsinki between day 21 and day 25. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 3 and day 7. You would like to visit Naples for 5 days. You want to spend 3 days in Athens. You want to spend 4 days in Prague. During day 7 and day 10, you have to attend a conference in Prague. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 10 and day 14. You want to spend 4 days in Valencia. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nLondon and Naples, Athens and Stockholm, Geneva and Valencia, Naples and Valencia, Istanbul and Naples, London and Valencia, Athens and Geneva, Reykjavik and Helsinki, Geneva and Helsinki, London and Stockholm, Istanbul and Geneva, Helsinki and Naples, Reykjavik and Prague, from Valencia to Athens, Istanbul and Stockholm, London and Reykjavik, Geneva and Naples, London and Prague, Istanbul and Helsinki, Prague and Athens, Prague and Stockholm, London and Helsinki, Prague and Valencia, Stockholm and Helsinki, Athens and Naples, Reykjavik and Stockholm, Istanbul and Valencia, London and Istanbul, London and Geneva, London and Athens, Prague and Helsinki, Stockholm and Geneva, Prague and Istanbul, Prague and Geneva, Istanbul and Athens, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 4 days in Stockholm. From day 16 to day 19, there is a annual show you want to attend in Stockholm. You plan to stay in Helsinki for 5 days. You want to meet a friend in Helsinki between day 21 and day 25. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 3 and day 7. You would like to visit Naples for 5 days. You want to spend 3 days in Athens. You want to spend 4 days in Prague. During day 7 and day 10, you have to attend a conference in Prague. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 10 and day 14. You want to spend 4 days in Valencia. You plan to stay in London for 3 days.\n\nHere are the cities that have direct flights:\nfrom London to Naples, from Athens to Stockholm, from Geneva to Valencia, from Naples to Valencia, from Istanbul to Naples, from London to Valencia, from Athens to Geneva, from Reykjavik to Helsinki, from Geneva to Helsinki, from London to Stockholm, from Istanbul to Geneva, from Helsinki to Naples, from Reykjavik to Prague, from Valencia to Athens, from Istanbul to Stockholm, from London to Reykjavik, from Geneva to Naples, from London to Prague, from Istanbul to Helsinki, from Prague to Athens, from Prague to Stockholm, from London to Helsinki, from Prague to Valencia, from Stockholm to Helsinki, from Athens to Naples, from Reykjavik to Stockholm, from Istanbul to Valencia, from London to Istanbul, from London to Geneva, from London to Athens, from Prague to Helsinki, from Stockholm to Geneva, from Prague to Istanbul, from Prague to Geneva, from Istanbul to Athens, from Reykjavik to Athens.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Reykjavik.\n**Day 3-7:** Visit Reykjavik for 5 days.\n**Day 7:** Fly from Reykjavik to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Stockholm.\n**Day 16-19:** Visit Stockholm for 4 days.\n**Day 19:** Fly from Stockholm to Geneva.\n**Day 19-21:** Visit Geneva for 3 days.\n**Day 21:** Fly from Geneva to Helsinki.\n**Day 21-25:** Visit Helsinki for 5 days.\n**Day 25:** Fly from Helsinki to Naples.\n**Day 25-29:** Visit Naples for 5 days.\n**Day 29:** Fly from Naples to Valencia.\n**Day 29-32:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_1404",
    "estimated_output_tokens": 3606,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Naples, Duration: 5 days.\n* City: Athens, Duration: 3 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Valencia, Duration: 4 days.\n* City: London, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 3 - 7.\n* City: Prague, Fixed Schedule: Day 7 - 10.\n* City: Istanbul, Fixed Schedule: Day 10 - 14.\n* City: Stockholm, Fixed Schedule: Day 16 - 19.\n* City: Helsinki, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Athens, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: London, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Naples, Athens, Valencia, London] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 7).\n |- The departure day of Geneva is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 7).\n |- The departure day of Naples is Day 5. The arrival day of Reykjavik is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 7).\n |- The departure day of Athens is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 7).\n |- The departure day of Valencia is Day 4. The arrival day of Reykjavik is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 7).\n |- The departure day of London is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 7 - 10).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Prague is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Reykjavik to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 10 - 14).\n     |- The departure day of Prague is Day 10. The arrival day of Istanbul is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [London, Reykjavik, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 16 - 19).\n       |- The departure day of Istanbul is Day 14. The arrival day of Stockholm is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [London, Reykjavik, Prague, Istanbul].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Naples, Athens, Valencia] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Istanbul to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 19).\n         |- The departure day of Geneva is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [London, Reykjavik, Prague, Istanbul, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Geneva to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Istanbul to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 19).\n         |- The departure day of Naples is Day 18. The arrival day of Stockholm is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Istanbul to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 19).\n         |- The departure day of Athens is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [London, Reykjavik, Prague, Istanbul, Athens].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Athens to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Helsinki (Day 21 - 25).\n           |- The departure day of Stockholm is Day 19. The arrival day of Helsinki is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [London, Reykjavik, Prague, Istanbul, Athens, Stockholm].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Naples, Valencia] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Stockholm to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Helsinki (Day 21 - 25).\n             |- The departure day of Geneva is Day 21. The arrival day of Helsinki is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [London, Reykjavik, Prague, Istanbul, Athens, Stockholm, Geneva].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Helsinki.\n               |- Try arranging to visit Helsinki from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Geneva to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [London, Reykjavik, Prague, Istanbul, Athens, Stockholm, Geneva, Helsinki].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples, Valencia] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Helsinki to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [London, Reykjavik, Prague, Istanbul, Athens, Stockholm, Geneva, Helsinki, Naples].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                   |- Try arranging to visit Valencia from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                   |- Check for direct flight from Naples to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [London, Reykjavik, Prague, Istanbul, Athens, Stockholm, Geneva, Helsinki, Naples, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Reykjavik.\n**Day 3-7:** Visit Reykjavik for 5 days.\n**Day 7:** Fly from Reykjavik to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Istanbul.\n**Day 10-14:** Visit Istanbul for 5 days.\n**Day 14:** Fly from Istanbul to Athens.\n**Day 14-16:** Visit Athens for 3 days.\n**Day 16:** Fly from Athens to Stockholm.\n**Day 16-19:** Visit Stockholm for 4 days.\n**Day 19:** Fly from Stockholm to Geneva.\n**Day 19-21:** Visit Geneva for 3 days.\n**Day 21:** Fly from Geneva to Helsinki.\n**Day 21-25:** Visit Helsinki for 5 days.\n**Day 25:** Fly from Helsinki to Naples.\n**Day 25-29:** Visit Naples for 5 days.\n**Day 29:** Fly from Naples to Valencia.\n**Day 29-32:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Krakow**Paris**London**Budapest**Geneva**Valencia**Brussels**Hamburg**Salzburg",
    "ground_truth_durations": "3**5**4**4**3**2**2**5**4**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Budapest"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Manchester",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You want to spend 3 days in Manchester. You would like to visit Salzburg for 5 days. You want to spend 2 days in Geneva. You would like to visit Krakow for 5 days. You want to meet a friend in Krakow between day 3 and day 7. You plan to stay in London for 4 days. You would like to meet your friends at London between day 10 and day 13 to tour together. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 7 and day 10. You want to spend 5 days in Brussels. You are going to attend a wedding in Brussels between day 17 and day 21. You plan to stay in Valencia for 2 days. You plan to visit relatives in Valencia between day 16 and day 17. You want to spend 3 days in Budapest.\n\nHere are the cities that have direct flights:\nParis and Budapest, Hamburg and Salzburg, Krakow and Brussels, Geneva and Brussels, Paris and Geneva, Manchester and London, Budapest and Geneva, Paris and London, Brussels and Hamburg, Manchester and Krakow, Manchester and Hamburg, Paris and Valencia, London and Hamburg, Valencia and Brussels, Paris and Hamburg, Paris and Brussels, Krakow and Valencia, Manchester and Geneva, from Hamburg to Geneva, Krakow and London, Budapest and Brussels, Geneva and Valencia, London and Brussels, London and Budapest, Manchester and Paris, London and Geneva, Krakow and Paris, Budapest and Hamburg, London and Valencia, Manchester and Brussels, Manchester and Budapest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Hamburg. You want to spend 3 days in Manchester. You would like to visit Salzburg for 5 days. You want to spend 2 days in Geneva. You would like to visit Krakow for 5 days. You want to meet a friend in Krakow between day 3 and day 7. You plan to stay in London for 4 days. You would like to meet your friends at London between day 10 and day 13 to tour together. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 7 and day 10. You want to spend 5 days in Brussels. You are going to attend a wedding in Brussels between day 17 and day 21. You plan to stay in Valencia for 2 days. You plan to visit relatives in Valencia between day 16 and day 17. You want to spend 3 days in Budapest.\n\nHere are the cities that have direct flights:\nfrom Paris to Budapest, from Hamburg to Salzburg, from Krakow to Brussels, from Geneva to Brussels, from Paris to Geneva, from Manchester to London, from Budapest to Geneva, from Paris to London, from Brussels to Hamburg, from Manchester to Krakow, from Manchester to Hamburg, from Paris to Valencia, from London to Hamburg, from Valencia to Brussels, from Paris to Hamburg, from Paris to Brussels, from Krakow to Valencia, from Manchester to Geneva, from Hamburg to Geneva, from Krakow to London, from Budapest to Brussels, from Geneva to Valencia, from London to Brussels, from London to Budapest, from Manchester to Paris, from London to Geneva, from Krakow to Paris, from Budapest to Hamburg, from London to Valencia, from Manchester to Brussels, from Manchester to Budapest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Paris.\n**Day 7-10:** Visit Paris for 4 days.\n**Day 10:** Fly from Paris to London.\n**Day 10-13:** Visit London for 4 days.\n**Day 13:** Fly from London to Budapest.\n**Day 13-15:** Visit Budapest for 3 days.\n**Day 15:** Fly from Budapest to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Valencia.\n**Day 16-17:** Visit Valencia for 2 days.\n**Day 17:** Fly from Valencia to Brussels.\n**Day 17-21:** Visit Brussels for 5 days.\n**Day 21:** Fly from Brussels to Hamburg.\n**Day 21-24:** Visit Hamburg for 4 days.\n**Day 24:** Fly from Hamburg to Salzburg.\n**Day 24-28:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1405",
    "estimated_output_tokens": 3390,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: London, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Budapest, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 3 - 7.\n* City: Paris, Fixed Schedule: Day 7 - 10.\n* City: London, Fixed Schedule: Day 10 - 13.\n* City: Valencia, Fixed Schedule: Day 16 - 17.\n* City: Brussels, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Salzburg, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Manchester, Salzburg, Geneva, Budapest] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 7).\n |- The departure day of Hamburg is Day 4. The arrival day of Krakow is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 3 - 7).\n |- The departure day of Manchester is Day 3. The arrival day of Krakow is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 7 - 10).\n   |- The departure day of Krakow is Day 7. The arrival day of Paris is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Manchester, Krakow].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Krakow to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: London (Day 10 - 13).\n     |- The departure day of Paris is Day 10. The arrival day of London is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Manchester, Krakow, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: London.\n       |- Try arranging to visit London from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 16 - 17).\n       |- The departure day of London is Day 13. The arrival day of Valencia is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Manchester, Krakow, Paris, London].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg, Geneva, Budapest] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from London to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 16 - 17).\n         |- The departure day of Hamburg is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Manchester, Krakow, Paris, London, Hamburg].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Hamburg to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from London to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from London to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 16 - 17).\n         |- The departure day of Geneva is Day 14. The arrival day of Valencia is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Manchester, Krakow, Paris, London, Geneva].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg, Budapest] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Geneva to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Geneva to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Geneva to Budapest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Budapest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from London to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 16 - 17).\n         |- The departure day of Budapest is Day 15. The arrival day of Valencia is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Manchester, Krakow, Paris, London, Budapest].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg, Geneva] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Budapest to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 16 - 17).\n           |- The departure day of Hamburg is Day 18. The arrival day of Valencia is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Budapest to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Budapest to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 16 - 17).\n           |- The departure day of Geneva is Day 16. The arrival day of Valencia is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Manchester, Krakow, Paris, London, Budapest, Geneva].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Geneva to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Brussels (Day 17 - 21).\n             |- The departure day of Valencia is Day 17. The arrival day of Brussels is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Manchester, Krakow, Paris, London, Budapest, Geneva, Valencia].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Brussels.\n               |- Try arranging to visit Brussels from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Valencia to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Manchester, Krakow, Paris, London, Budapest, Geneva, Valencia, Brussels].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Brussels to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Manchester, Krakow, Paris, London, Budapest, Geneva, Valencia, Brussels, Hamburg].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Hamburg to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Manchester, Krakow, Paris, London, Budapest, Geneva, Valencia, Brussels, Hamburg, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Krakow.\n**Day 3-7:** Visit Krakow for 5 days.\n**Day 7:** Fly from Krakow to Paris.\n**Day 7-10:** Visit Paris for 4 days.\n**Day 10:** Fly from Paris to London.\n**Day 10-13:** Visit London for 4 days.\n**Day 13:** Fly from London to Budapest.\n**Day 13-15:** Visit Budapest for 3 days.\n**Day 15:** Fly from Budapest to Geneva.\n**Day 15-16:** Visit Geneva for 2 days.\n**Day 16:** Fly from Geneva to Valencia.\n**Day 16-17:** Visit Valencia for 2 days.\n**Day 17:** Fly from Valencia to Brussels.\n**Day 17-21:** Visit Brussels for 5 days.\n**Day 21:** Fly from Brussels to Hamburg.\n**Day 21-24:** Visit Hamburg for 4 days.\n**Day 24:** Fly from Hamburg to Salzburg.\n**Day 24-28:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Helsinki**Geneva**Porto**Warsaw**Bucharest**London**Barcelona**Vienna**Budapest",
    "ground_truth_durations": "3**2**5**4**5**5**3**5**5**4",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 29,
        "end_day": 32
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 21,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Helsinki",
        "London"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Barcelona"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Vienna",
        "Budapest"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Warsaw",
        "London"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Naples",
        "Helsinki"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "Geneva",
        "Barcelona"
      ],
      [
        "Naples",
        "Barcelona"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Porto",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Warsaw",
        "Vienna"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. During day 3 and day 4, you have to attend a conference in Helsinki. You plan to stay in Warsaw for 5 days. You want to spend 5 days in Bucharest. You want to spend 3 days in London. You would like to meet your friends at London between day 19 and day 21 to tour together. You want to spend 5 days in Vienna. You plan to visit relatives in Vienna between day 25 and day 29. You plan to stay in Budapest for 4 days. You want to meet a friend in Budapest between day 29 and day 32. You want to spend 4 days in Porto. You would like to visit Naples for 3 days. You want to spend 5 days in Geneva. You would like to visit Barcelona for 5 days. You have to attend a workshop in Barcelona between day 21 and day 25.\n\nHere are the cities that have direct flights:\nGeneva and Budapest, Helsinki and London, Warsaw and Bucharest, Geneva and London, Naples and Geneva, Helsinki and Geneva, Naples and Warsaw, Warsaw and Barcelona, Geneva and Warsaw, Helsinki and Vienna, Vienna and Budapest, Geneva and Porto, Helsinki and Barcelona, Bucharest and Vienna, London and Barcelona, Warsaw and London, Barcelona and Vienna, Naples and Helsinki, London and Vienna, Porto and Vienna, Porto and Warsaw, London and Budapest, Geneva and Vienna, Bucharest and London, Naples and Budapest, Geneva and Barcelona, Naples and Barcelona, Naples and London, Porto and Barcelona, Helsinki and Warsaw, Naples and Vienna, Bucharest and Budapest, Helsinki and Budapest, Warsaw and Budapest, Barcelona and Budapest, Naples and Bucharest, Bucharest and Barcelona, Warsaw and Vienna.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Helsinki. During day 3 and day 4, you have to attend a conference in Helsinki. You plan to stay in Warsaw for 5 days. You want to spend 5 days in Bucharest. You want to spend 3 days in London. You would like to meet your friends at London between day 19 and day 21 to tour together. You want to spend 5 days in Vienna. You plan to visit relatives in Vienna between day 25 and day 29. You plan to stay in Budapest for 4 days. You want to meet a friend in Budapest between day 29 and day 32. You want to spend 4 days in Porto. You would like to visit Naples for 3 days. You want to spend 5 days in Geneva. You would like to visit Barcelona for 5 days. You have to attend a workshop in Barcelona between day 21 and day 25.\n\nHere are the cities that have direct flights:\nfrom Geneva to Budapest, from Helsinki to London, from Warsaw to Bucharest, from Geneva to London, from Naples to Geneva, from Helsinki to Geneva, from Naples to Warsaw, from Warsaw to Barcelona, from Geneva to Warsaw, from Helsinki to Vienna, from Vienna to Budapest, from Geneva to Porto, from Helsinki to Barcelona, from Bucharest to Vienna, from London to Barcelona, from Warsaw to London, from Barcelona to Vienna, from Naples to Helsinki, from London to Vienna, from Porto to Vienna, from Porto to Warsaw, from London to Budapest, from Geneva to Vienna, from Bucharest to London, from Naples to Budapest, from Geneva to Barcelona, from Naples to Barcelona, from Naples to London, from Porto to Barcelona, from Helsinki to Warsaw, from Naples to Vienna, from Bucharest to Budapest, from Helsinki to Budapest, from Warsaw to Budapest, from Barcelona to Budapest, from Naples to Bucharest, from Bucharest to Barcelona, from Warsaw to Vienna.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Geneva.\n**Day 4-8:** Visit Geneva for 5 days.\n**Day 8:** Fly from Geneva to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.\n**Day 19:** Fly from Bucharest to London.\n**Day 19-21:** Visit London for 3 days.\n**Day 21:** Fly from London to Barcelona.\n**Day 21-25:** Visit Barcelona for 5 days.\n**Day 25:** Fly from Barcelona to Vienna.\n**Day 25-29:** Visit Vienna for 5 days.\n**Day 29:** Fly from Vienna to Budapest.\n**Day 29-32:** Visit Budapest for 4 days.",
    "id": "trip_planning_example_1406",
    "estimated_output_tokens": 4151,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Warsaw, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 29 - 32.\n* City: Porto, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 3 - 4.\n* City: London, Fixed Schedule: Day 19 - 21.\n* City: Barcelona, Fixed Schedule: Day 21 - 25.\n* City: Vienna, Fixed Schedule: Day 25 - 29.\n* City: Budapest, Fixed Schedule: Day 29 - 32.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Naples, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Bucharest, Porto, Naples, Geneva] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 4).\n |- The departure day of Warsaw is Day 5. The arrival day of Helsinki is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 4).\n |- The departure day of Bucharest is Day 5. The arrival day of Helsinki is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 4).\n |- The departure day of Porto is Day 4. The arrival day of Helsinki is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 4).\n |- The departure day of Naples is Day 3. The arrival day of Helsinki is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Naples to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 19 - 21).\n   |- The departure day of Helsinki is Day 4. The arrival day of London is Day 19. Day 4 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Helsinki].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest, Porto, Geneva] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 19 - 21).\n     |- The departure day of Warsaw is Day 8. The arrival day of London is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Helsinki, Warsaw].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Porto, Geneva] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Warsaw to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 19 - 21).\n       |- The departure day of Bucharest is Day 12. The arrival day of London is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Helsinki, Warsaw, Bucharest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Geneva] and explore these options in order.\n         |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Bucharest to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Bucharest to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Warsaw to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Warsaw to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Helsinki to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Helsinki to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: London (Day 19 - 21).\n     |- The departure day of Geneva is Day 8. The arrival day of London is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Naples, Helsinki, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest, Porto] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 19 - 21).\n       |- The departure day of Warsaw is Day 12. The arrival day of London is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Helsinki, Geneva, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Porto] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Warsaw to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: London (Day 19 - 21).\n         |- The departure day of Bucharest is Day 16. The arrival day of London is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Naples, Helsinki, Geneva, Warsaw, Bucharest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n           |- Try arranging to visit Porto from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Bucharest to Porto.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Warsaw to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 19 - 21).\n       |- The departure day of Porto is Day 11. The arrival day of London is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Naples, Helsinki, Geneva, Porto].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Bucharest] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: London (Day 19 - 21).\n         |- The departure day of Warsaw is Day 15. The arrival day of London is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: London (Day 19 - 21).\n           |- The departure day of Bucharest is Day 19. The arrival day of London is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw, Bucharest].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: London.\n             |- Try arranging to visit London from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Bucharest to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Barcelona (Day 21 - 25).\n             |- The departure day of London is Day 21. The arrival day of Barcelona is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw, Bucharest, London].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Barcelona.\n               |- Try arranging to visit Barcelona from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from London to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Vienna (Day 25 - 29).\n               |- The departure day of Barcelona is Day 25. The arrival day of Vienna is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw, Bucharest, London, Barcelona].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Vienna.\n                 |- Try arranging to visit Vienna from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Barcelona to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Budapest (Day 29 - 32).\n                 |- The departure day of Vienna is Day 29. The arrival day of Budapest is Day 29. Day 29 is not later than (<=) Day 29. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw, Bucharest, London, Barcelona, Vienna].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- Yes. The city with an arrival day of Day 29 - is fixed: Budapest.\n                   |- Try arranging to visit Budapest from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                   |- Check for direct flight from Vienna to Budapest.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Naples, Helsinki, Geneva, Porto, Warsaw, Bucharest, London, Barcelona, Vienna, Budapest].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Geneva.\n**Day 4-8:** Visit Geneva for 5 days.\n**Day 8:** Fly from Geneva to Porto.\n**Day 8-11:** Visit Porto for 4 days.\n**Day 11:** Fly from Porto to Warsaw.\n**Day 11-15:** Visit Warsaw for 5 days.\n**Day 15:** Fly from Warsaw to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.\n**Day 19:** Fly from Bucharest to London.\n**Day 19-21:** Visit London for 3 days.\n**Day 21:** Fly from London to Barcelona.\n**Day 21-25:** Visit Barcelona for 5 days.\n**Day 25:** Fly from Barcelona to Vienna.\n**Day 25-29:** Visit Vienna for 5 days.\n**Day 29:** Fly from Vienna to Budapest.\n**Day 29-32:** Visit Budapest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Stuttgart**Edinburgh**Seville**Munich**Bucharest**Oslo**Helsinki**Geneva**Valencia",
    "ground_truth_durations": "3**5**5**3**2**3**5**5**5**4",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 28,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 3 and day 7. You want to spend 5 days in Edinburgh. You would like to visit Helsinki for 5 days. You want to spend 5 days in Geneva. You want to spend 4 days in Valencia. You are going to attend a wedding in Valencia between day 28 and day 31. You want to spend 5 days in Oslo. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 14 and day 16. You plan to stay in Munich for 2 days. You would like to visit Seville for 3 days.\n\nHere are the cities that have direct flights:\nHelsinki and Geneva, Munich and Geneva, Bucharest and Oslo, Geneva and Valencia, Edinburgh and Helsinki, Edinburgh and Oslo, Copenhagen and Edinburgh, Edinburgh and Geneva, Munich and Helsinki, Copenhagen and Helsinki, Copenhagen and Geneva, Edinburgh and Seville, Copenhagen and Stuttgart, Copenhagen and Valencia, Munich and Bucharest, Oslo and Geneva, Copenhagen and Munich, Seville and Munich, Copenhagen and Bucharest, Munich and Valencia, Stuttgart and Edinburgh, Seville and Valencia, Munich and Oslo, Oslo and Helsinki, Copenhagen and Oslo, Bucharest and Valencia, Stuttgart and Valencia, Edinburgh and Munich.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 3 days. You would like to visit Stuttgart for 5 days. You have to attend a workshop in Stuttgart between day 3 and day 7. You want to spend 5 days in Edinburgh. You would like to visit Helsinki for 5 days. You want to spend 5 days in Geneva. You want to spend 4 days in Valencia. You are going to attend a wedding in Valencia between day 28 and day 31. You want to spend 5 days in Oslo. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 14 and day 16. You plan to stay in Munich for 2 days. You would like to visit Seville for 3 days.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Geneva, from Munich to Geneva, from Bucharest to Oslo, from Geneva to Valencia, from Edinburgh to Helsinki, from Edinburgh to Oslo, from Copenhagen to Edinburgh, from Edinburgh to Geneva, from Munich to Helsinki, from Copenhagen to Helsinki, from Copenhagen to Geneva, from Edinburgh to Seville, from Copenhagen to Stuttgart, from Copenhagen to Valencia, from Munich to Bucharest, from Oslo to Geneva, from Copenhagen to Munich, from Seville to Munich, from Copenhagen to Bucharest, from Munich to Valencia, from Stuttgart to Edinburgh, from Seville to Valencia, from Munich to Oslo, from Oslo to Helsinki, from Copenhagen to Oslo, from Bucharest to Valencia, from Stuttgart to Valencia, from Edinburgh to Munich.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Stuttgart.\n**Day 3-7:** Visit Stuttgart for 5 days.\n**Day 7:** Fly from Stuttgart to Edinburgh.\n**Day 7-11:** Visit Edinburgh for 5 days.\n**Day 11:** Fly from Edinburgh to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Oslo.\n**Day 16-20:** Visit Oslo for 5 days.\n**Day 20:** Fly from Oslo to Helsinki.\n**Day 20-24:** Visit Helsinki for 5 days.\n**Day 24:** Fly from Helsinki to Geneva.\n**Day 24-28:** Visit Geneva for 5 days.\n**Day 28:** Fly from Geneva to Valencia.\n**Day 28-31:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_1407",
    "estimated_output_tokens": 3737,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Edinburgh, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Geneva, Duration: 5 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 28 - 31.\n* City: Oslo, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Munich, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 3 - 7.\n* City: Bucharest, Fixed Schedule: Day 14 - 16.\n* City: Valencia, Fixed Schedule: Day 28 - 31.\n\nCities needing arrangement:\n* City: Copenhagen, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Helsinki, Duration: 5 days.\n* City: Geneva, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Munich, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Copenhagen, Edinburgh, Helsinki, Geneva, Oslo, Munich, Seville] and explore these options in order.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 3 - 7).\n |- The departure day of Copenhagen is Day 3. The arrival day of Stuttgart is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stuttgart.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 14 - 16).\n   |- The departure day of Stuttgart is Day 7. The arrival day of Bucharest is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Stuttgart].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Helsinki, Geneva, Oslo, Munich, Seville] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Stuttgart to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 14 - 16).\n     |- The departure day of Edinburgh is Day 11. The arrival day of Bucharest is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Stuttgart, Edinburgh].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva, Oslo, Munich, Seville] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 16).\n       |- The departure day of Helsinki is Day 15. The arrival day of Bucharest is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 16).\n       |- The departure day of Geneva is Day 15. The arrival day of Bucharest is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Edinburgh to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 16).\n       |- The departure day of Oslo is Day 15. The arrival day of Bucharest is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Edinburgh to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 16).\n       |- The departure day of Munich is Day 12. The arrival day of Bucharest is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Stuttgart, Edinburgh, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva, Oslo, Seville] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 16).\n         |- The departure day of Helsinki is Day 16. The arrival day of Bucharest is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 16).\n         |- The departure day of Geneva is Day 16. The arrival day of Bucharest is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Munich to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 16).\n         |- The departure day of Oslo is Day 16. The arrival day of Bucharest is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Munich to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Edinburgh to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 14 - 16).\n       |- The departure day of Seville is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva, Oslo, Munich] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Seville to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Seville to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Seville to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Seville to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 16).\n         |- The departure day of Munich is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Munich to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 28 - 31).\n           |- The departure day of Bucharest is Day 16. The arrival day of Valencia is Day 28. Day 16 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich, Bucharest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva, Oslo] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Bucharest to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Bucharest to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Bucharest to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Valencia (Day 28 - 31).\n             |- The departure day of Oslo is Day 20. The arrival day of Valencia is Day 28. Day 20 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich, Bucharest, Oslo].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki, Geneva] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Oslo to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Valencia (Day 28 - 31).\n               |- The departure day of Helsinki is Day 24. The arrival day of Valencia is Day 28. Day 24 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich, Bucharest, Oslo, Helsinki].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Helsinki to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Valencia (Day 28 - 31).\n                 |- The departure day of Geneva is Day 28. The arrival day of Valencia is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich, Bucharest, Oslo, Helsinki, Geneva].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Valencia.\n                   |- Try arranging to visit Valencia from Day 28. Duration: 4 days. Schedule: Day 28 - 31.\n                   |- Check for direct flight from Geneva to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Copenhagen, Stuttgart, Edinburgh, Seville, Munich, Bucharest, Oslo, Helsinki, Geneva, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Stuttgart.\n**Day 3-7:** Visit Stuttgart for 5 days.\n**Day 7:** Fly from Stuttgart to Edinburgh.\n**Day 7-11:** Visit Edinburgh for 5 days.\n**Day 11:** Fly from Edinburgh to Seville.\n**Day 11-13:** Visit Seville for 3 days.\n**Day 13:** Fly from Seville to Munich.\n**Day 13-14:** Visit Munich for 2 days.\n**Day 14:** Fly from Munich to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Oslo.\n**Day 16-20:** Visit Oslo for 5 days.\n**Day 20:** Fly from Oslo to Helsinki.\n**Day 20-24:** Visit Helsinki for 5 days.\n**Day 24:** Fly from Helsinki to Geneva.\n**Day 24-28:** Visit Geneva for 5 days.\n**Day 28:** Fly from Geneva to Valencia.\n**Day 28-31:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Oslo**Berlin**Tallinn**Copenhagen**Milan**Krakow**Manchester**Nice**Reykjavik",
    "ground_truth_durations": "3**4**4**4**4**5**3**2**3**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Berlin",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 12 and day 15. You plan to stay in Oslo for 4 days. You would like to visit Krakow for 3 days. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 21 and day 22. You want to spend 3 days in Nice. You would like to visit Berlin for 4 days. You want to spend 3 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 3. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 15 and day 19 to tour together. You would like to visit Tallinn for 4 days. You have to attend a workshop in Tallinn between day 9 and day 12. You want to spend 5 days in Reykjavik.\n\nHere are the cities that have direct flights:\nTallinn and Copenhagen, Copenhagen and Nice, Berlin and Krakow, Milan and Krakow, Copenhagen and Manchester, Copenhagen and Milan, Bucharest and Manchester, Oslo and Reykjavik, Oslo and Nice, Bucharest and Oslo, Oslo and Krakow, Nice and Reykjavik, Milan and Reykjavik, Oslo and Milan, Oslo and Copenhagen, Bucharest and Copenhagen, Berlin and Milan, Oslo and Manchester, Berlin and Reykjavik, Berlin and Nice, Berlin and Tallinn, Copenhagen and Reykjavik, Berlin and Copenhagen, Krakow and Manchester, Milan and Manchester, Copenhagen and Krakow, Manchester and Nice, Oslo and Tallinn, Oslo and Berlin, Berlin and Manchester.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 12 and day 15. You plan to stay in Oslo for 4 days. You would like to visit Krakow for 3 days. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 21 and day 22. You want to spend 3 days in Nice. You would like to visit Berlin for 4 days. You want to spend 3 days in Bucharest. You are going to attend a wedding in Bucharest between day 1 and day 3. You plan to stay in Milan for 5 days. You would like to meet your friends at Milan between day 15 and day 19 to tour together. You would like to visit Tallinn for 4 days. You have to attend a workshop in Tallinn between day 9 and day 12. You want to spend 5 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Copenhagen, from Copenhagen to Nice, from Berlin to Krakow, from Milan to Krakow, from Copenhagen to Manchester, from Copenhagen to Milan, from Bucharest to Manchester, from Oslo to Reykjavik, from Oslo to Nice, from Bucharest to Oslo, from Oslo to Krakow, from Nice to Reykjavik, from Milan to Reykjavik, from Oslo to Milan, from Oslo to Copenhagen, from Bucharest to Copenhagen, from Berlin to Milan, from Oslo to Manchester, from Berlin to Reykjavik, from Berlin to Nice, from Berlin to Tallinn, from Copenhagen to Reykjavik, from Berlin to Copenhagen, from Krakow to Manchester, from Milan to Manchester, from Copenhagen to Krakow, from Manchester to Nice, from Oslo to Tallinn, from Oslo to Berlin, from Berlin to Manchester.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Tallinn.\n**Day 9-12:** Visit Tallinn for 4 days.\n**Day 12:** Fly from Tallinn to Copenhagen.\n**Day 12-15:** Visit Copenhagen for 4 days.\n**Day 15:** Fly from Copenhagen to Milan.\n**Day 15-19:** Visit Milan for 5 days.\n**Day 19:** Fly from Milan to Krakow.\n**Day 19-21:** Visit Krakow for 3 days.\n**Day 21:** Fly from Krakow to Manchester.\n**Day 21-22:** Visit Manchester for 2 days.\n**Day 22:** Fly from Manchester to Nice.\n**Day 22-24:** Visit Nice for 3 days.\n**Day 24:** Fly from Nice to Reykjavik.\n**Day 24-28:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_1408",
    "estimated_output_tokens": 3334,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Oslo, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Nice, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Reykjavik, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Fixed Schedule: Day 9 - 12.\n* City: Copenhagen, Fixed Schedule: Day 12 - 15.\n* City: Milan, Fixed Schedule: Day 15 - 19.\n* City: Manchester, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Oslo, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 9 - 12).\n |- The departure day of Bucharest is Day 3. The arrival day of Tallinn is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Krakow, Nice, Berlin, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Bucharest to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 9 - 12).\n   |- The departure day of Oslo is Day 6. The arrival day of Tallinn is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Nice, Berlin, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 9 - 12).\n     |- The departure day of Krakow is Day 8. The arrival day of Tallinn is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Oslo, Krakow].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Berlin, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Krakow to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Krakow to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Krakow to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Oslo to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 9 - 12).\n     |- The departure day of Nice is Day 8. The arrival day of Tallinn is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Oslo, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Berlin, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Nice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Nice to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 9 - 12).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Tallinn is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Oslo to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 9 - 12).\n     |- The departure day of Berlin is Day 9. The arrival day of Tallinn is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Oslo, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Copenhagen (Day 12 - 15).\n       |- The departure day of Tallinn is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Oslo, Berlin, Tallinn].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Tallinn to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 15 - 19).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Milan is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Milan.\n           |- Try arranging to visit Milan from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Copenhagen to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 21 - 22).\n           |- The departure day of Milan is Day 19. The arrival day of Manchester is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen, Milan].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Nice, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Milan to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Manchester (Day 21 - 22).\n             |- The departure day of Krakow is Day 21. The arrival day of Manchester is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen, Milan, Krakow].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Krakow to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen, Milan, Krakow, Manchester].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Manchester to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen, Milan, Krakow, Manchester, Nice].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                   |- Try arranging to visit Reykjavik from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Nice to Reykjavik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Bucharest, Oslo, Berlin, Tallinn, Copenhagen, Milan, Krakow, Manchester, Nice, Reykjavik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Bucharest and visit Bucharest for 3 days.\n**Day 3:** Fly from Bucharest to Oslo.\n**Day 3-6:** Visit Oslo for 4 days.\n**Day 6:** Fly from Oslo to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Tallinn.\n**Day 9-12:** Visit Tallinn for 4 days.\n**Day 12:** Fly from Tallinn to Copenhagen.\n**Day 12-15:** Visit Copenhagen for 4 days.\n**Day 15:** Fly from Copenhagen to Milan.\n**Day 15-19:** Visit Milan for 5 days.\n**Day 19:** Fly from Milan to Krakow.\n**Day 19-21:** Visit Krakow for 3 days.\n**Day 21:** Fly from Krakow to Manchester.\n**Day 21-22:** Visit Manchester for 2 days.\n**Day 22:** Fly from Manchester to Nice.\n**Day 22-24:** Visit Nice for 3 days.\n**Day 24:** Fly from Nice to Reykjavik.\n**Day 24-28:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Amsterdam**Florence**Barcelona**Santorini**Copenhagen**Porto**Hamburg**Madrid**Mykonos",
    "ground_truth_durations": "4**2**5**2**2**2**5**5**4**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Madrid",
        "Mykonos"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. During day 4 and day 5, you have to attend a conference in Amsterdam. You plan to stay in Madrid for 4 days. You plan to visit relatives in Madrid between day 20 and day 23. You plan to stay in Mykonos for 4 days. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 16 and day 20. You would like to visit Athens for 4 days. From day 1 to day 4, there is a annual show you want to attend in Athens. You plan to stay in Santorini for 2 days. You would like to visit Florence for 5 days. You plan to stay in Porto for 5 days. You want to meet a friend in Porto between day 12 and day 16. You plan to stay in Copenhagen for 2 days. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nFlorence and Barcelona, Porto and Madrid, Amsterdam and Florence, Athens and Barcelona, Copenhagen and Madrid, Amsterdam and Barcelona, Amsterdam and Mykonos, Amsterdam and Madrid, Amsterdam and Hamburg, Hamburg and Madrid, Athens and Madrid, Barcelona and Madrid, Florence and Madrid, Barcelona and Santorini, Athens and Amsterdam, Barcelona and Hamburg, Copenhagen and Porto, Amsterdam and Santorini, Athens and Copenhagen, Athens and Mykonos, Copenhagen and Hamburg, Amsterdam and Copenhagen, Amsterdam and Porto, Athens and Hamburg, Porto and Hamburg, Santorini and Copenhagen, Athens and Santorini, Santorini and Madrid, Barcelona and Copenhagen, Barcelona and Porto, Madrid and Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Amsterdam for 2 days. During day 4 and day 5, you have to attend a conference in Amsterdam. You plan to stay in Madrid for 4 days. You plan to visit relatives in Madrid between day 20 and day 23. You plan to stay in Mykonos for 4 days. You plan to stay in Hamburg for 5 days. You have to attend a workshop in Hamburg between day 16 and day 20. You would like to visit Athens for 4 days. From day 1 to day 4, there is a annual show you want to attend in Athens. You plan to stay in Santorini for 2 days. You would like to visit Florence for 5 days. You plan to stay in Porto for 5 days. You want to meet a friend in Porto between day 12 and day 16. You plan to stay in Copenhagen for 2 days. You plan to stay in Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Florence to Barcelona, from Porto to Madrid, from Amsterdam to Florence, from Athens to Barcelona, from Copenhagen to Madrid, from Amsterdam to Barcelona, from Amsterdam to Mykonos, from Amsterdam to Madrid, from Amsterdam to Hamburg, from Hamburg to Madrid, from Athens to Madrid, from Barcelona to Madrid, from Florence to Madrid, from Barcelona to Santorini, from Athens to Amsterdam, from Barcelona to Hamburg, from Copenhagen to Porto, from Amsterdam to Santorini, from Athens to Copenhagen, from Athens to Mykonos, from Copenhagen to Hamburg, from Amsterdam to Copenhagen, from Amsterdam to Porto, from Athens to Hamburg, from Porto to Hamburg, from Santorini to Copenhagen, from Athens to Santorini, from Santorini to Madrid, from Barcelona to Copenhagen, from Barcelona to Porto, from Madrid to Mykonos.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Copenhagen.\n**Day 11-12:** Visit Copenhagen for 2 days.\n**Day 12:** Fly from Copenhagen to Porto.\n**Day 12-16:** Visit Porto for 5 days.\n**Day 16:** Fly from Porto to Hamburg.\n**Day 16-20:** Visit Hamburg for 5 days.\n**Day 20:** Fly from Hamburg to Madrid.\n**Day 20-23:** Visit Madrid for 4 days.\n**Day 23:** Fly from Madrid to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1409",
    "estimated_output_tokens": 3927,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Mykonos, Duration: 4 days.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Santorini, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Copenhagen, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Fixed Schedule: Day 4 - 5.\n* City: Porto, Fixed Schedule: Day 12 - 16.\n* City: Hamburg, Fixed Schedule: Day 16 - 20.\n* City: Madrid, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Copenhagen, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 4 - 5).\n |- The departure day of Athens is Day 4. The arrival day of Amsterdam is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Athens to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 12 - 16).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Porto is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Santorini, Florence, Copenhagen, Barcelona] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 12 - 16).\n     |- The departure day of Mykonos is Day 8. The arrival day of Porto is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Athens, Amsterdam, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Florence, Copenhagen, Barcelona] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Mykonos to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Mykonos to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Mykonos to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Mykonos to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 12 - 16).\n     |- The departure day of Santorini is Day 6. The arrival day of Porto is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Athens, Amsterdam, Santorini].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Florence, Copenhagen, Barcelona] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Santorini to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Santorini to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Santorini to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 12 - 16).\n       |- The departure day of Copenhagen is Day 7. The arrival day of Porto is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Athens, Amsterdam, Santorini, Copenhagen].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Florence, Barcelona] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Copenhagen to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Copenhagen to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Copenhagen to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Santorini to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 12 - 16).\n     |- The departure day of Florence is Day 9. The arrival day of Porto is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Santorini, Copenhagen, Barcelona] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Florence to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Florence to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Florence to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Florence to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 12 - 16).\n       |- The departure day of Barcelona is Day 10. The arrival day of Porto is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Athens, Amsterdam, Florence, Barcelona].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Santorini, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Barcelona to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Barcelona to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 12 - 16).\n         |- The departure day of Santorini is Day 11. The arrival day of Porto is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Santorini to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Santorini to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 12 - 16).\n           |- The departure day of Copenhagen is Day 12. The arrival day of Porto is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini, Copenhagen].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Porto.\n             |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Copenhagen to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 16 - 20).\n             |- The departure day of Porto is Day 16. The arrival day of Hamburg is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini, Copenhagen, Porto].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Porto to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Madrid (Day 20 - 23).\n               |- The departure day of Hamburg is Day 20. The arrival day of Madrid is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini, Copenhagen, Porto, Hamburg].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Madrid.\n                 |- Try arranging to visit Madrid from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Hamburg to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini, Copenhagen, Porto, Hamburg, Madrid].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Madrid to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Athens, Amsterdam, Florence, Barcelona, Santorini, Copenhagen, Porto, Hamburg, Madrid, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Athens and visit Athens for 4 days.\n**Day 4:** Fly from Athens to Amsterdam.\n**Day 4-5:** Visit Amsterdam for 2 days.\n**Day 5:** Fly from Amsterdam to Florence.\n**Day 5-9:** Visit Florence for 5 days.\n**Day 9:** Fly from Florence to Barcelona.\n**Day 9-10:** Visit Barcelona for 2 days.\n**Day 10:** Fly from Barcelona to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Copenhagen.\n**Day 11-12:** Visit Copenhagen for 2 days.\n**Day 12:** Fly from Copenhagen to Porto.\n**Day 12-16:** Visit Porto for 5 days.\n**Day 16:** Fly from Porto to Hamburg.\n**Day 16-20:** Visit Hamburg for 5 days.\n**Day 20:** Fly from Hamburg to Madrid.\n**Day 20-23:** Visit Madrid for 4 days.\n**Day 23:** Fly from Madrid to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Riga**Manchester**Split**Naples**Paris**Reykjavik**Barcelona**Zurich**Oslo",
    "ground_truth_durations": "4**4**3**4**3**3**3**2**5**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Manchester",
        "Naples"
      ],
      [
        "Manchester",
        "Oslo"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Naples",
        "Barcelona"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Edinburgh",
        "Zurich"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Paris",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 12 and day 14 to tour together. You plan to stay in Riga for 4 days. You plan to stay in Split for 4 days. You plan to stay in Oslo for 5 days. You are going to attend a wedding in Oslo between day 23 and day 27. You plan to stay in Edinburgh for 4 days. You would like to visit Barcelona for 2 days. You want to meet a friend in Barcelona between day 18 and day 19. You want to spend 5 days in Zurich. During day 19 and day 23, you have to attend a conference in Zurich. You plan to stay in Paris for 3 days. You want to spend 3 days in Reykjavik. You plan to stay in Manchester for 3 days.\n\nHere are the cities that have direct flights:\nParis and Reykjavik, Riga and Zurich, Manchester and Naples, Manchester and Oslo, Riga and Oslo, Split and Naples, Riga and Manchester, Paris and Barcelona, Riga and Barcelona, Split and Zurich, Split and Oslo, Reykjavik and Barcelona, Riga and Paris, Split and Barcelona, Reykjavik and Oslo, Manchester and Paris, Barcelona and Zurich, Naples and Paris, Manchester and Zurich, Naples and Zurich, from Manchester to Split, Paris and Oslo, Edinburgh and Oslo, Naples and Barcelona, Split and Paris, Manchester and Barcelona, Edinburgh and Barcelona, Edinburgh and Paris, Reykjavik and Zurich, Zurich and Oslo, Naples and Oslo, Edinburgh and Riga, Edinburgh and Zurich, Barcelona and Oslo, Paris and Zurich.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You would like to meet your friends at Naples between day 12 and day 14 to tour together. You plan to stay in Riga for 4 days. You plan to stay in Split for 4 days. You plan to stay in Oslo for 5 days. You are going to attend a wedding in Oslo between day 23 and day 27. You plan to stay in Edinburgh for 4 days. You would like to visit Barcelona for 2 days. You want to meet a friend in Barcelona between day 18 and day 19. You want to spend 5 days in Zurich. During day 19 and day 23, you have to attend a conference in Zurich. You plan to stay in Paris for 3 days. You want to spend 3 days in Reykjavik. You plan to stay in Manchester for 3 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Reykjavik, from Riga to Zurich, from Manchester to Naples, from Manchester to Oslo, from Riga to Oslo, from Split to Naples, from Riga to Manchester, from Paris to Barcelona, from Riga to Barcelona, from Split to Zurich, from Split to Oslo, from Reykjavik to Barcelona, from Riga to Paris, from Split to Barcelona, from Reykjavik to Oslo, from Manchester to Paris, from Barcelona to Zurich, from Naples to Paris, from Manchester to Zurich, from Naples to Zurich, from Manchester to Split, from Paris to Oslo, from Edinburgh to Oslo, from Naples to Barcelona, from Split to Paris, from Manchester to Barcelona, from Edinburgh to Barcelona, from Edinburgh to Paris, from Reykjavik to Zurich, from Zurich to Oslo, from Naples to Oslo, from Edinburgh to Riga, from Edinburgh to Zurich, from Barcelona to Oslo, from Paris to Zurich.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Split.\n**Day 9-12:** Visit Split for 4 days.\n**Day 12:** Fly from Split to Naples.\n**Day 12-14:** Visit Naples for 3 days.\n**Day 14:** Fly from Naples to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Reykjavik.\n**Day 16-18:** Visit Reykjavik for 3 days.\n**Day 18:** Fly from Reykjavik to Barcelona.\n**Day 18-19:** Visit Barcelona for 2 days.\n**Day 19:** Fly from Barcelona to Zurich.\n**Day 19-23:** Visit Zurich for 5 days.\n**Day 23:** Fly from Zurich to Oslo.\n**Day 23-27:** Visit Oslo for 5 days.",
    "id": "trip_planning_example_1410",
    "estimated_output_tokens": 7155,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Edinburgh, Duration: 4 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Paris, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 12 - 14.\n* City: Barcelona, Fixed Schedule: Day 18 - 19.\n* City: Zurich, Fixed Schedule: Day 19 - 23.\n* City: Oslo, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Paris, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Manchester, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Split, Edinburgh, Paris, Reykjavik, Manchester] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 12 - 14).\n |- The departure day of Riga is Day 4. The arrival day of Naples is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Paris, Reykjavik, Manchester] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Riga to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 12 - 14).\n   |- The departure day of Paris is Day 6. The arrival day of Naples is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Reykjavik, Manchester] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 12 - 14).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Manchester] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Reykjavik to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Reykjavik to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Riga to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 12 - 14).\n   |- The departure day of Manchester is Day 6. The arrival day of Naples is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Paris, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Manchester to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 12 - 14).\n     |- The departure day of Split is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Manchester, Split].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Paris, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Split to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 14).\n       |- The departure day of Paris is Day 11. The arrival day of Naples is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Riga, Manchester, Split, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Paris to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 12 - 14).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Naples is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Split to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Manchester to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Manchester to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 12 - 14).\n     |- The departure day of Paris is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Manchester, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Paris to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Paris to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 12 - 14).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Naples is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Manchester, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Manchester to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 12 - 14).\n |- The departure day of Split is Day 4. The arrival day of Naples is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Paris, Reykjavik, Manchester] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Split to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Split to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 12 - 14).\n   |- The departure day of Paris is Day 6. The arrival day of Naples is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Reykjavik, Manchester] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 12 - 14).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Naples is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Edinburgh, Manchester] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Reykjavik to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Reykjavik to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Manchester from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Split to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Split to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 12 - 14).\n |- The departure day of Edinburgh is Day 4. The arrival day of Naples is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Split, Paris, Reykjavik, Manchester] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 12 - 14).\n   |- The departure day of Riga is Day 7. The arrival day of Naples is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Riga].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Paris, Reykjavik, Manchester] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Riga to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Riga to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 12 - 14).\n     |- The departure day of Paris is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Edinburgh, Riga, Paris].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik, Manchester] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Paris to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 14).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Naples is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Edinburgh, Riga, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Manchester] and explore these options in order.\n         |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Manchester from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Paris to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Riga to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Riga to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 12 - 14).\n     |- The departure day of Manchester is Day 9. The arrival day of Naples is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Edinburgh, Riga, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Paris, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Manchester to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 12 - 14).\n       |- The departure day of Split is Day 12. The arrival day of Naples is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Edinburgh, Riga, Manchester, Split].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Naples.\n         |- Try arranging to visit Naples from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Split to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Barcelona (Day 18 - 19).\n         |- The departure day of Naples is Day 14. The arrival day of Barcelona is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Edinburgh, Riga, Manchester, Split, Naples].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Paris from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Naples to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Barcelona (Day 18 - 19).\n           |- The departure day of Paris is Day 16. The arrival day of Barcelona is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Edinburgh, Riga, Manchester, Split, Naples, Paris].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Paris to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Barcelona (Day 18 - 19).\n             |- The departure day of Reykjavik is Day 18. The arrival day of Barcelona is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Edinburgh, Riga, Manchester, Split, Naples, Paris, Reykjavik].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Barcelona.\n               |- Try arranging to visit Barcelona from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Reykjavik to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Zurich (Day 19 - 23).\n               |- The departure day of Barcelona is Day 19. The arrival day of Zurich is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Edinburgh, Riga, Manchester, Split, Naples, Paris, Reykjavik, Barcelona].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Zurich.\n                 |- Try arranging to visit Zurich from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Barcelona to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Oslo (Day 23 - 27).\n                 |- The departure day of Zurich is Day 23. The arrival day of Oslo is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Edinburgh, Riga, Manchester, Split, Naples, Paris, Reykjavik, Barcelona, Zurich].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Oslo.\n                   |- Try arranging to visit Oslo from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Zurich to Oslo.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Edinburgh, Riga, Manchester, Split, Naples, Paris, Reykjavik, Barcelona, Zurich, Oslo].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Riga.\n**Day 4-7:** Visit Riga for 4 days.\n**Day 7:** Fly from Riga to Manchester.\n**Day 7-9:** Visit Manchester for 3 days.\n**Day 9:** Fly from Manchester to Split.\n**Day 9-12:** Visit Split for 4 days.\n**Day 12:** Fly from Split to Naples.\n**Day 12-14:** Visit Naples for 3 days.\n**Day 14:** Fly from Naples to Paris.\n**Day 14-16:** Visit Paris for 3 days.\n**Day 16:** Fly from Paris to Reykjavik.\n**Day 16-18:** Visit Reykjavik for 3 days.\n**Day 18:** Fly from Reykjavik to Barcelona.\n**Day 18-19:** Visit Barcelona for 2 days.\n**Day 19:** Fly from Barcelona to Zurich.\n**Day 19-23:** Visit Zurich for 5 days.\n**Day 23:** Fly from Zurich to Oslo.\n**Day 23-27:** Visit Oslo for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Florence**Madrid**Venice**Frankfurt**Krakow**Istanbul**Tallinn**Munich**Dubrovnik",
    "ground_truth_durations": "2**4**2**5**2**3**4**3**2**3",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Munich"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. During day 2 and day 5, you have to attend a conference in Florence. You plan to stay in Krakow for 3 days. You plan to stay in Tallinn for 3 days. You plan to stay in Venice for 5 days. You plan to stay in Frankfurt for 2 days. You would like to visit Madrid for 2 days. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 13 and day 16. You would like to visit Dubrovnik for 3 days. You have to attend a workshop in Dubrovnik between day 19 and day 21. You would like to visit Munich for 2 days. From day 18 to day 19, there is a annual show you want to attend in Munich. You want to spend 2 days in Amsterdam. You would like to meet your friends at Amsterdam between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nKrakow and Munich, Madrid and Munich, Amsterdam and Dubrovnik, Amsterdam and Krakow, Madrid and Istanbul, Istanbul and Munich, Amsterdam and Madrid, Frankfurt and Istanbul, Florence and Madrid, Amsterdam and Munich, Frankfurt and Dubrovnik, Frankfurt and Tallinn, Tallinn and Munich, from Istanbul to Tallinn, Madrid and Venice, Krakow and Istanbul, Amsterdam and Tallinn, Madrid and Dubrovnik, Frankfurt and Munich, Amsterdam and Florence, Amsterdam and Frankfurt, Venice and Munich, Venice and Istanbul, Amsterdam and Venice, Amsterdam and Istanbul, Florence and Frankfurt, Munich and Dubrovnik, Madrid and Frankfurt, Venice and Frankfurt, from Florence to Munich, from Dubrovnik to Istanbul, Frankfurt and Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. During day 2 and day 5, you have to attend a conference in Florence. You plan to stay in Krakow for 3 days. You plan to stay in Tallinn for 3 days. You plan to stay in Venice for 5 days. You plan to stay in Frankfurt for 2 days. You would like to visit Madrid for 2 days. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 13 and day 16. You would like to visit Dubrovnik for 3 days. You have to attend a workshop in Dubrovnik between day 19 and day 21. You would like to visit Munich for 2 days. From day 18 to day 19, there is a annual show you want to attend in Munich. You want to spend 2 days in Amsterdam. You would like to meet your friends at Amsterdam between day 1 and day 2 to tour together.\n\nHere are the cities that have direct flights:\nfrom Krakow to Munich, from Madrid to Munich, from Amsterdam to Dubrovnik, from Amsterdam to Krakow, from Madrid to Istanbul, from Istanbul to Munich, from Amsterdam to Madrid, from Frankfurt to Istanbul, from Florence to Madrid, from Amsterdam to Munich, from Frankfurt to Dubrovnik, from Frankfurt to Tallinn, from Tallinn to Munich, from Istanbul to Tallinn, from Madrid to Venice, from Krakow to Istanbul, from Amsterdam to Tallinn, from Madrid to Dubrovnik, from Frankfurt to Munich, from Amsterdam to Florence, from Amsterdam to Frankfurt, from Venice to Munich, from Venice to Istanbul, from Amsterdam to Venice, from Amsterdam to Istanbul, from Florence to Frankfurt, from Munich to Dubrovnik, from Madrid to Frankfurt, from Venice to Frankfurt, from Florence to Munich, from Dubrovnik to Istanbul, from Frankfurt to Krakow.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-2:** Arriving in Amsterdam and visit Amsterdam for 2 days.\n**Day 2:** Fly from Amsterdam to Florence.\n**Day 2-5:** Visit Florence for 4 days.\n**Day 5:** Fly from Florence to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Frankfurt.\n**Day 10-11:** Visit Frankfurt for 2 days.\n**Day 11:** Fly from Frankfurt to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Munich.\n**Day 18-19:** Visit Munich for 2 days.\n**Day 19:** Fly from Munich to Dubrovnik.\n**Day 19-21:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1411",
    "estimated_output_tokens": 3930,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Krakow, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 2.\n* City: Florence, Fixed Schedule: Day 2 - 5.\n* City: Istanbul, Fixed Schedule: Day 13 - 16.\n* City: Munich, Fixed Schedule: Day 18 - 19.\n* City: Dubrovnik, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 5).\n |- The departure day of Amsterdam is Day 2. The arrival day of Florence is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Amsterdam to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 13 - 16).\n   |- The departure day of Florence is Day 5. The arrival day of Istanbul is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Amsterdam, Florence].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn, Venice, Frankfurt, Madrid] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Florence to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Florence to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Florence to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 13 - 16).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Istanbul is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Amsterdam, Florence, Frankfurt].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn, Venice, Madrid] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 16).\n       |- The departure day of Krakow is Day 8. The arrival day of Istanbul is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Amsterdam, Florence, Frankfurt, Krakow].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Venice, Madrid] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Krakow to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Krakow to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Krakow to Madrid.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 16).\n       |- The departure day of Tallinn is Day 8. The arrival day of Istanbul is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Amsterdam, Florence, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Madrid] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Tallinn to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Tallinn to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Tallinn to Madrid.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Frankfurt to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Frankfurt to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Florence to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 13 - 16).\n     |- The departure day of Madrid is Day 6. The arrival day of Istanbul is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Amsterdam, Florence, Madrid].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn, Venice, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Madrid to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Madrid to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Madrid to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 13 - 16).\n       |- The departure day of Venice is Day 10. The arrival day of Istanbul is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Florence, Madrid, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Venice to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Istanbul (Day 13 - 16).\n         |- The departure day of Frankfurt is Day 11. The arrival day of Istanbul is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Tallinn] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Frankfurt to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 13 - 16).\n           |- The departure day of Krakow is Day 13. The arrival day of Istanbul is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt, Krakow].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Istanbul.\n             |- Try arranging to visit Istanbul from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Krakow to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Munich (Day 18 - 19).\n             |- The departure day of Istanbul is Day 16. The arrival day of Munich is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt, Krakow, Istanbul].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Istanbul to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Munich (Day 18 - 19).\n               |- The departure day of Tallinn is Day 18. The arrival day of Munich is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt, Krakow, Istanbul, Tallinn].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Munich.\n                 |- Try arranging to visit Munich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Tallinn to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dubrovnik (Day 19 - 21).\n                 |- The departure day of Munich is Day 19. The arrival day of Dubrovnik is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt, Krakow, Istanbul, Tallinn, Munich].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- Yes. The city with an arrival day of Day 19 - is fixed: Dubrovnik.\n                   |- Try arranging to visit Dubrovnik from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                   |- Check for direct flight from Munich to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Amsterdam, Florence, Madrid, Venice, Frankfurt, Krakow, Istanbul, Tallinn, Munich, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Amsterdam and visit Amsterdam for 2 days.\n**Day 2:** Fly from Amsterdam to Florence.\n**Day 2-5:** Visit Florence for 4 days.\n**Day 5:** Fly from Florence to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Venice.\n**Day 6-10:** Visit Venice for 5 days.\n**Day 10:** Fly from Venice to Frankfurt.\n**Day 10-11:** Visit Frankfurt for 2 days.\n**Day 11:** Fly from Frankfurt to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Munich.\n**Day 18-19:** Visit Munich for 2 days.\n**Day 19:** Fly from Munich to Dubrovnik.\n**Day 19-21:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Zurich**Berlin**Milan**Seville**Rome**Stuttgart**Warsaw**Geneva**Santorini",
    "ground_truth_durations": "2**5**5**5**5**5**3**4**5**2",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 31,
        "end_day": 32
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 14,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Zurich",
        "Rome"
      ],
      [
        "Zurich",
        "Berlin"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Rome",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 5 days. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 6 and day 10. You want to spend 3 days in Stuttgart. You would like to visit Dublin for 2 days. You would like to visit Rome for 5 days. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 10 and day 14. You would like to visit Santorini for 2 days. You have to attend a workshop in Santorini between day 31 and day 32. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 2 and day 6 to tour together. You would like to visit Warsaw for 4 days. You want to spend 5 days in Seville. During day 14 and day 18, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nBerlin and Geneva, Berlin and Milan, Warsaw and Geneva, Rome and Santorini, Milan and Stuttgart, Seville and Rome, Dublin and Rome, Stuttgart and Warsaw, Zurich and Milan, Berlin and Rome, Dublin and Seville, Milan and Warsaw, Dublin and Geneva, Zurich and Rome, Zurich and Berlin, Milan and Seville, Zurich and Warsaw, Rome and Geneva, Zurich and Santorini, Zurich and Geneva, Milan and Santorini, Dublin and Zurich, Geneva and Santorini, Berlin and Warsaw, Berlin and Stuttgart, Dublin and Santorini, Dublin and Milan, Rome and Warsaw, Dublin and Berlin, Rome and Stuttgart.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 5 days. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 6 and day 10. You want to spend 3 days in Stuttgart. You would like to visit Dublin for 2 days. You would like to visit Rome for 5 days. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 10 and day 14. You would like to visit Santorini for 2 days. You have to attend a workshop in Santorini between day 31 and day 32. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 2 and day 6 to tour together. You would like to visit Warsaw for 4 days. You want to spend 5 days in Seville. During day 14 and day 18, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nfrom Berlin to Geneva, from Berlin to Milan, from Warsaw to Geneva, from Rome to Santorini, from Milan to Stuttgart, from Seville to Rome, from Dublin to Rome, from Stuttgart to Warsaw, from Zurich to Milan, from Berlin to Rome, from Dublin to Seville, from Milan to Warsaw, from Dublin to Geneva, from Zurich to Rome, from Zurich to Berlin, from Milan to Seville, from Zurich to Warsaw, from Rome to Geneva, from Zurich to Santorini, from Zurich to Geneva, from Milan to Santorini, from Dublin to Zurich, from Geneva to Santorini, from Berlin to Warsaw, from Berlin to Stuttgart, from Dublin to Santorini, from Dublin to Milan, from Rome to Warsaw, from Dublin to Berlin, from Rome to Stuttgart.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Seville.\n**Day 14-18:** Visit Seville for 5 days.\n**Day 18:** Fly from Seville to Rome.\n**Day 18-22:** Visit Rome for 5 days.\n**Day 22:** Fly from Rome to Stuttgart.\n**Day 22-24:** Visit Stuttgart for 3 days.\n**Day 24:** Fly from Stuttgart to Warsaw.\n**Day 24-27:** Visit Warsaw for 4 days.\n**Day 27:** Fly from Warsaw to Geneva.\n**Day 27-31:** Visit Geneva for 5 days.\n**Day 31:** Fly from Geneva to Santorini.\n**Day 31-32:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1412",
    "estimated_output_tokens": 3236,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stuttgart, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 31 - 32.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Warsaw, Duration: 4 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 2 - 6.\n* City: Berlin, Fixed Schedule: Day 6 - 10.\n* City: Milan, Fixed Schedule: Day 10 - 14.\n* City: Seville, Fixed Schedule: Day 14 - 18.\n* City: Santorini, Fixed Schedule: Day 31 - 32.\n\nCities needing arrangement:\n* City: Geneva, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Dublin, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Warsaw, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Dublin, Rome, Warsaw] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 6).\n |- The departure day of Geneva is Day 5. The arrival day of Zurich is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 6).\n |- The departure day of Stuttgart is Day 3. The arrival day of Zurich is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 2 - 6).\n |- The departure day of Dublin is Day 2. The arrival day of Zurich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dublin to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 6 - 10).\n   |- The departure day of Zurich is Day 6. The arrival day of Berlin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Milan (Day 10 - 14).\n     |- The departure day of Berlin is Day 10. The arrival day of Milan is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Zurich, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Berlin to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 14 - 18).\n       |- The departure day of Milan is Day 14. The arrival day of Seville is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dublin, Zurich, Berlin, Milan].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Milan to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 31 - 32).\n         |- The departure day of Seville is Day 18. The arrival day of Santorini is Day 31. Day 18 is not later than (<=) Day 31. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Dublin, Zurich, Berlin, Milan, Seville].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Rome, Warsaw] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Seville to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Seville to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Seville to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 31 - 32).\n           |- The departure day of Rome is Day 22. The arrival day of Santorini is Day 31. Day 22 is not later than (<=) Day 31. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Warsaw] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Rome to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Santorini (Day 31 - 32).\n             |- The departure day of Geneva is Day 26. The arrival day of Santorini is Day 31. Day 26 is not later than (<=) Day 31. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome, Geneva].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Warsaw] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n               |- Check for direct flight from Geneva to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Warsaw from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n               |- Check for direct flight from Geneva to Warsaw.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n             |- Check for direct flight from Rome to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Santorini (Day 31 - 32).\n             |- The departure day of Stuttgart is Day 24. The arrival day of Santorini is Day 31. Day 24 is not later than (<=) Day 31. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome, Stuttgart].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Warsaw] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Stuttgart to Geneva.\n               |- No. Drop this branch.\n               |- Try arranging to visit Warsaw from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Stuttgart to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Santorini (Day 31 - 32).\n               |- The departure day of Warsaw is Day 27. The arrival day of Santorini is Day 31. Day 27 is not later than (<=) Day 31. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome, Stuttgart, Warsaw].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                 |- Check for direct flight from Warsaw to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: Santorini (Day 31 - 32).\n                 |- The departure day of Geneva is Day 31. The arrival day of Santorini is Day 31. Day 31 is not later than (<=) Day 31. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome, Stuttgart, Warsaw, Geneva].\n                  |- Check whether the city with an arrival day of Day 31 - is fixed.\n                  |- Yes. The city with an arrival day of Day 31 - is fixed: Santorini.\n                   |- Try arranging to visit Santorini from Day 31. Duration: 2 days. Schedule: Day 31 - 32.\n                   |- Check for direct flight from Geneva to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 31: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Dublin, Zurich, Berlin, Milan, Seville, Rome, Stuttgart, Warsaw, Geneva, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Dublin and visit Dublin for 2 days.\n**Day 2:** Fly from Dublin to Zurich.\n**Day 2-6:** Visit Zurich for 5 days.\n**Day 6:** Fly from Zurich to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Seville.\n**Day 14-18:** Visit Seville for 5 days.\n**Day 18:** Fly from Seville to Rome.\n**Day 18-22:** Visit Rome for 5 days.\n**Day 22:** Fly from Rome to Stuttgart.\n**Day 22-24:** Visit Stuttgart for 3 days.\n**Day 24:** Fly from Stuttgart to Warsaw.\n**Day 24-27:** Visit Warsaw for 4 days.\n**Day 27:** Fly from Warsaw to Geneva.\n**Day 27-31:** Visit Geneva for 5 days.\n**Day 31:** Fly from Geneva to Santorini.\n**Day 31-32:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Berlin**Rome**Dubrovnik**Copenhagen**Porto**Nice**Hamburg**Amsterdam**Florence",
    "ground_truth_durations": "2**4**2**5**5**3**5**4**4**3",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 26,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Amsterdam"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Salzburg",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You plan to visit relatives in Florence between day 26 and day 28. You plan to stay in Dubrovnik for 5 days. You want to spend 4 days in Amsterdam. You want to spend 5 days in Nice. You have to attend a workshop in Nice between day 16 and day 20. You plan to stay in Rome for 2 days. You plan to stay in Porto for 3 days. You want to meet a friend in Porto between day 14 and day 16. You would like to visit Hamburg for 4 days. During day 20 and day 23, you have to attend a conference in Hamburg. You want to spend 4 days in Berlin. You would like to visit Salzburg for 2 days. You want to spend 5 days in Copenhagen.\n\nHere are the cities that have direct flights:\nCopenhagen and Hamburg, Porto and Amsterdam, Rome and Dubrovnik, Nice and Amsterdam, Nice and Hamburg, Rome and Hamburg, Berlin and Nice, Salzburg and Berlin, Porto and Hamburg, Amsterdam and Florence, Hamburg and Amsterdam, Porto and Nice, Copenhagen and Amsterdam, Rome and Amsterdam, Berlin and Amsterdam, Copenhagen and Porto, Dubrovnik and Amsterdam, Berlin and Copenhagen, Berlin and Porto, Copenhagen and Nice, Rome and Copenhagen, Dubrovnik and Copenhagen, Rome and Nice, Berlin and Rome, Salzburg and Hamburg.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Florence for 3 days. You plan to visit relatives in Florence between day 26 and day 28. You plan to stay in Dubrovnik for 5 days. You want to spend 4 days in Amsterdam. You want to spend 5 days in Nice. You have to attend a workshop in Nice between day 16 and day 20. You plan to stay in Rome for 2 days. You plan to stay in Porto for 3 days. You want to meet a friend in Porto between day 14 and day 16. You would like to visit Hamburg for 4 days. During day 20 and day 23, you have to attend a conference in Hamburg. You want to spend 4 days in Berlin. You would like to visit Salzburg for 2 days. You want to spend 5 days in Copenhagen.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Hamburg, from Porto to Amsterdam, from Rome to Dubrovnik, from Nice to Amsterdam, from Nice to Hamburg, from Rome to Hamburg, from Berlin to Nice, from Salzburg to Berlin, from Porto to Hamburg, from Amsterdam to Florence, from Hamburg to Amsterdam, from Porto to Nice, from Copenhagen to Amsterdam, from Rome to Amsterdam, from Berlin to Amsterdam, from Copenhagen to Porto, from Dubrovnik to Amsterdam, from Berlin to Copenhagen, from Berlin to Porto, from Copenhagen to Nice, from Rome to Copenhagen, from Dubrovnik to Copenhagen, from Rome to Nice, from Berlin to Rome, from Salzburg to Hamburg.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Copenhagen.\n**Day 10-14:** Visit Copenhagen for 5 days.\n**Day 14:** Fly from Copenhagen to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Nice.\n**Day 16-20:** Visit Nice for 5 days.\n**Day 20:** Fly from Nice to Hamburg.\n**Day 20-23:** Visit Hamburg for 4 days.\n**Day 23:** Fly from Hamburg to Amsterdam.\n**Day 23-26:** Visit Amsterdam for 4 days.\n**Day 26:** Fly from Amsterdam to Florence.\n**Day 26-28:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1413",
    "estimated_output_tokens": 11623,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 26 - 28.\n* City: Dubrovnik, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Rome, Duration: 2 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Berlin, Duration: 4 days.\n* City: Salzburg, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 14 - 16.\n* City: Nice, Fixed Schedule: Day 16 - 20.\n* City: Hamburg, Fixed Schedule: Day 20 - 23.\n* City: Florence, Fixed Schedule: Day 26 - 28.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Rome, Duration: 2 days.\n* City: Berlin, Duration: 4 days.\n* City: Salzburg, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Rome, Berlin, Salzburg, Copenhagen] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Porto is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Rome, Berlin, Salzburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Berlin, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Amsterdam to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Amsterdam to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dubrovnik to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Dubrovnik to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n   |- The departure day of Copenhagen is Day 9. The arrival day of Porto is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Dubrovnik, Copenhagen].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Rome, Berlin, Salzburg] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Copenhagen to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 12. The arrival day of Porto is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Dubrovnik, Copenhagen, Amsterdam].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Berlin, Salzburg] and explore these options in order.\n       |- Try arranging to visit Rome from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Amsterdam to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Copenhagen to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Copenhagen to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Amsterdam is Day 4. The arrival day of Porto is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Berlin, Salzburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Amsterdam to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Amsterdam to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Amsterdam to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Rome is Day 2. The arrival day of Porto is Day 14. Day 2 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Berlin, Salzburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 14 - 16).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Porto is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Berlin, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Porto is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Dubrovnik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Amsterdam to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Amsterdam to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dubrovnik to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 14 - 16).\n     |- The departure day of Copenhagen is Day 10. The arrival day of Porto is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Dubrovnik, Copenhagen].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Berlin, Salzburg] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 16).\n       |- The departure day of Amsterdam is Day 13. The arrival day of Porto is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Dubrovnik, Copenhagen, Amsterdam].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Amsterdam to Berlin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Amsterdam to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Copenhagen to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Copenhagen to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 14 - 16).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Porto is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Rome, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Rome to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 14 - 16).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Porto is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Copenhagen].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Berlin, Salzburg] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Copenhagen to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Porto is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Copenhagen, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Amsterdam to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Copenhagen to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Berlin is Day 4. The arrival day of Porto is Day 14. Day 4 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Rome, Salzburg, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Berlin to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 14 - 16).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Porto is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 14 - 16).\n   |- The departure day of Rome is Day 5. The arrival day of Porto is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Rome].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Salzburg, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n     |- The departure day of Dubrovnik is Day 9. The arrival day of Porto is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Rome, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Dubrovnik to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 14 - 16).\n       |- The departure day of Amsterdam is Day 12. The arrival day of Porto is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Rome, Dubrovnik, Amsterdam].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Amsterdam to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Amsterdam to Copenhagen.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dubrovnik to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Dubrovnik to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 14 - 16).\n       |- The departure day of Copenhagen is Day 13. The arrival day of Porto is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Rome, Dubrovnik, Copenhagen].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Salzburg] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Copenhagen to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 14 - 16).\n         |- The departure day of Amsterdam is Day 16. The arrival day of Porto is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Copenhagen to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Rome to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Rome, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Salzburg, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Rome to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Rome to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Porto is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Rome, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Salzburg] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Copenhagen to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Copenhagen to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 14 - 16).\n       |- The departure day of Amsterdam is Day 12. The arrival day of Porto is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Rome, Copenhagen, Amsterdam].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Salzburg] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Amsterdam to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Copenhagen to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Berlin to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Berlin to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 14 - 16).\n   |- The departure day of Copenhagen is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Copenhagen].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Rome, Salzburg] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Copenhagen to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 11. The arrival day of Porto is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Berlin, Copenhagen, Amsterdam].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Salzburg] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Amsterdam to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Copenhagen to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Copenhagen to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 14 - 16).\n |- The departure day of Salzburg is Day 2. The arrival day of Porto is Day 14. Day 2 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Rome, Berlin, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Salzburg to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Salzburg to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 14 - 16).\n   |- The departure day of Berlin is Day 5. The arrival day of Porto is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Rome, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Berlin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Berlin to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Porto is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Berlin, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Amsterdam to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Berlin to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 14 - 16).\n     |- The departure day of Rome is Day 6. The arrival day of Porto is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Salzburg, Berlin, Rome].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Rome to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 14 - 16).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Porto is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Berlin, Rome, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Dubrovnik to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 16).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Porto is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Amsterdam to Copenhagen.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Dubrovnik to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 14 - 16).\n         |- The departure day of Copenhagen is Day 14. The arrival day of Porto is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Copenhagen to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 16 - 20).\n           |- The departure day of Porto is Day 16. The arrival day of Nice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen, Porto].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Porto to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 20 - 23).\n             |- The departure day of Nice is Day 20. The arrival day of Hamburg is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen, Porto, Nice].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Nice to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Florence (Day 26 - 28).\n               |- The departure day of Hamburg is Day 23. The arrival day of Florence is Day 26. Day 23 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen, Porto, Nice, Hamburg].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n                 |- Try arranging to visit Amsterdam from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Hamburg to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Florence (Day 26 - 28).\n                 |- The departure day of Amsterdam is Day 26. The arrival day of Florence is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen, Porto, Nice, Hamburg, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                   |- Check for direct flight from Amsterdam to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Salzburg, Berlin, Rome, Dubrovnik, Copenhagen, Porto, Nice, Hamburg, Amsterdam, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-5:** Visit Berlin for 4 days.\n**Day 5:** Fly from Berlin to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Copenhagen.\n**Day 10-14:** Visit Copenhagen for 5 days.\n**Day 14:** Fly from Copenhagen to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Nice.\n**Day 16-20:** Visit Nice for 5 days.\n**Day 20:** Fly from Nice to Hamburg.\n**Day 20-23:** Visit Hamburg for 4 days.\n**Day 23:** Fly from Hamburg to Amsterdam.\n**Day 23-26:** Visit Amsterdam for 4 days.\n**Day 26:** Fly from Amsterdam to Florence.\n**Day 26-28:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Lisbon**Riga**Tallinn**Dublin**Dubrovnik**Helsinki**Split**Krakow**Edinburgh",
    "ground_truth_durations": "5**2**2**2**3**2**5**4**2**4",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Riga"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Split",
        "Krakow"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Riga",
        "Helsinki"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Zurich",
        "Dublin"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Zurich",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "Edinburgh"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. You want to spend 2 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 10 and day 11. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Edinburgh. From day 19 to day 22, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Krakow. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 8 and day 10 to tour together. You plan to stay in Zurich for 5 days. You plan to visit relatives in Zurich between day 1 and day 5. You would like to visit Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 11 and day 15. You plan to stay in Lisbon for 2 days. You plan to stay in Riga for 2 days.\n\nHere are the cities that have direct flights:\nZurich and Riga, Zurich and Split, Riga and Edinburgh, Lisbon and Riga, Split and Krakow, Riga and Dublin, Dublin and Dubrovnik, Zurich and Helsinki, Helsinki and Split, Dublin and Helsinki, Riga and Helsinki, Zurich and Lisbon, Zurich and Dublin, Lisbon and Dublin, from Riga to Tallinn, Tallinn and Dublin, Dublin and Split, Krakow and Edinburgh, Helsinki and Krakow, Zurich and Krakow, Tallinn and Helsinki, Dublin and Krakow, Zurich and Tallinn, Dubrovnik and Helsinki, Lisbon and Krakow, Zurich and Edinburgh, Helsinki and Edinburgh, Lisbon and Helsinki, Zurich and Dubrovnik, Dublin and Edinburgh.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Split for 4 days. You want to spend 2 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 10 and day 11. You plan to stay in Tallinn for 2 days. You want to spend 4 days in Edinburgh. From day 19 to day 22, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Krakow. You would like to visit Dublin for 3 days. You would like to meet your friends at Dublin between day 8 and day 10 to tour together. You plan to stay in Zurich for 5 days. You plan to visit relatives in Zurich between day 1 and day 5. You would like to visit Helsinki for 5 days. You are going to attend a wedding in Helsinki between day 11 and day 15. You plan to stay in Lisbon for 2 days. You plan to stay in Riga for 2 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Riga, from Zurich to Split, from Riga to Edinburgh, from Lisbon to Riga, from Split to Krakow, from Riga to Dublin, from Dublin to Dubrovnik, from Zurich to Helsinki, from Helsinki to Split, from Dublin to Helsinki, from Riga to Helsinki, from Zurich to Lisbon, from Zurich to Dublin, from Lisbon to Dublin, from Riga to Tallinn, from Tallinn to Dublin, from Dublin to Split, from Krakow to Edinburgh, from Helsinki to Krakow, from Zurich to Krakow, from Tallinn to Helsinki, from Dublin to Krakow, from Zurich to Tallinn, from Dubrovnik to Helsinki, from Lisbon to Krakow, from Zurich to Edinburgh, from Helsinki to Edinburgh, from Lisbon to Helsinki, from Zurich to Dubrovnik, from Dublin to Edinburgh.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Dublin.\n**Day 8-10:** Visit Dublin for 3 days.\n**Day 10:** Fly from Dublin to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Krakow.\n**Day 18-19:** Visit Krakow for 2 days.\n**Day 19:** Fly from Krakow to Edinburgh.\n**Day 19-22:** Visit Edinburgh for 4 days.",
    "id": "trip_planning_example_1414",
    "estimated_output_tokens": 4177,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Tallinn, Duration: 2 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Krakow, Duration: 2 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Lisbon, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 5.\n* City: Dublin, Fixed Schedule: Day 8 - 10.\n* City: Dubrovnik, Fixed Schedule: Day 10 - 11.\n* City: Helsinki, Fixed Schedule: Day 11 - 15.\n* City: Edinburgh, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Split, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Krakow, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 8 - 10).\n |- The departure day of Zurich is Day 5. The arrival day of Dublin is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Krakow, Lisbon, Riga] and explore these options in order.\n   |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Zurich to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 10).\n   |- The departure day of Split is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Split].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Split to Dublin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Zurich to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 10).\n   |- The departure day of Tallinn is Day 6. The arrival day of Dublin is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Tallinn].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Krakow, Lisbon, Riga] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Tallinn to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Tallinn to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Tallinn to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Tallinn to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Zurich to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 10).\n   |- The departure day of Krakow is Day 6. The arrival day of Dublin is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Krakow].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Lisbon, Riga] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Krakow to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Krakow to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Krakow to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Zurich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 8 - 10).\n   |- The departure day of Lisbon is Day 6. The arrival day of Dublin is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Zurich, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Krakow, Riga] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 8 - 10).\n     |- The departure day of Krakow is Day 7. The arrival day of Dublin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Zurich, Lisbon, Krakow].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Riga] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Krakow to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Krakow to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Krakow to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 8 - 10).\n     |- The departure day of Riga is Day 7. The arrival day of Dublin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Zurich, Lisbon, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Krakow] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 8 - 10).\n       |- The departure day of Tallinn is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Zurich, Lisbon, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Tallinn to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 10 - 11).\n         |- The departure day of Dublin is Day 10. The arrival day of Dubrovnik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Dublin to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Helsinki (Day 11 - 15).\n           |- The departure day of Dubrovnik is Day 11. The arrival day of Helsinki is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- Yes. The city with an arrival day of Day 11 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Dubrovnik to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Edinburgh (Day 19 - 22).\n             |- The departure day of Helsinki is Day 15. The arrival day of Edinburgh is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin, Dubrovnik, Helsinki].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Krakow] and explore these options in order.\n               |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Helsinki to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Edinburgh (Day 19 - 22).\n               |- The departure day of Split is Day 18. The arrival day of Edinburgh is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin, Dubrovnik, Helsinki, Split].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n                 |- Try arranging to visit Krakow from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Split to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Edinburgh (Day 19 - 22).\n                 |- The departure day of Krakow is Day 19. The arrival day of Edinburgh is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin, Dubrovnik, Helsinki, Split, Krakow].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- Yes. The city with an arrival day of Day 19 - is fixed: Edinburgh.\n                   |- Try arranging to visit Edinburgh from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                   |- Check for direct flight from Krakow to Edinburgh.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Zurich, Lisbon, Riga, Tallinn, Dublin, Dubrovnik, Helsinki, Split, Krakow, Edinburgh].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Zurich and visit Zurich for 5 days.\n**Day 5:** Fly from Zurich to Lisbon.\n**Day 5-6:** Visit Lisbon for 2 days.\n**Day 6:** Fly from Lisbon to Riga.\n**Day 6-7:** Visit Riga for 2 days.\n**Day 7:** Fly from Riga to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Dublin.\n**Day 8-10:** Visit Dublin for 3 days.\n**Day 10:** Fly from Dublin to Dubrovnik.\n**Day 10-11:** Visit Dubrovnik for 2 days.\n**Day 11:** Fly from Dubrovnik to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Krakow.\n**Day 18-19:** Visit Krakow for 2 days.\n**Day 19:** Fly from Krakow to Edinburgh.\n**Day 19-22:** Visit Edinburgh for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Venice**Brussels**Helsinki**Split**Oslo**Lyon**Valencia**Copenhagen**Santorini",
    "ground_truth_durations": "3**5**3**3**3**4**5**2**4**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Oslo"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Naples",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Copenhagen"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 2 days. You want to spend 5 days in Lyon. You would like to meet your friends at Lyon between day 16 and day 20 to tour together. You would like to visit Split for 3 days. From day 11 to day 13, there is a annual show you want to attend in Split. You would like to visit Venice for 5 days. You plan to stay in Oslo for 4 days. You want to spend 3 days in Brussels. You are going to attend a wedding in Brussels between day 7 and day 9. You would like to visit Valencia for 2 days. You want to meet a friend in Valencia between day 20 and day 21. You want to spend 3 days in Helsinki. You would like to visit Copenhagen for 4 days. You want to spend 3 days in Naples. You have to attend a workshop in Naples between day 1 and day 3.\n\nHere are the cities that have direct flights:\nNaples and Oslo, Brussels and Helsinki, Brussels and Lyon, Oslo and Lyon, Lyon and Valencia, Venice and Lyon, Venice and Santorini, Helsinki and Oslo, Brussels and Oslo, Venice and Brussels, Oslo and Copenhagen, Naples and Copenhagen, Split and Oslo, Naples and Venice, from Santorini to Oslo, Venice and Copenhagen, Brussels and Copenhagen, Copenhagen and Santorini, Split and Lyon, Venice and Oslo, Naples and Split, Brussels and Valencia, Venice and Helsinki, Naples and Brussels, Naples and Helsinki, Helsinki and Copenhagen, Helsinki and Split, Naples and Valencia, Naples and Santorini, Split and Copenhagen, Valencia and Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 2 days. You want to spend 5 days in Lyon. You would like to meet your friends at Lyon between day 16 and day 20 to tour together. You would like to visit Split for 3 days. From day 11 to day 13, there is a annual show you want to attend in Split. You would like to visit Venice for 5 days. You plan to stay in Oslo for 4 days. You want to spend 3 days in Brussels. You are going to attend a wedding in Brussels between day 7 and day 9. You would like to visit Valencia for 2 days. You want to meet a friend in Valencia between day 20 and day 21. You want to spend 3 days in Helsinki. You would like to visit Copenhagen for 4 days. You want to spend 3 days in Naples. You have to attend a workshop in Naples between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Naples to Oslo, from Brussels to Helsinki, from Brussels to Lyon, from Oslo to Lyon, from Lyon to Valencia, from Venice to Lyon, from Venice to Santorini, from Helsinki to Oslo, from Brussels to Oslo, from Venice to Brussels, from Oslo to Copenhagen, from Naples to Copenhagen, from Split to Oslo, from Naples to Venice, from Santorini to Oslo, from Venice to Copenhagen, from Brussels to Copenhagen, from Copenhagen to Santorini, from Split to Lyon, from Venice to Oslo, from Naples to Split, from Brussels to Valencia, from Venice to Helsinki, from Naples to Brussels, from Naples to Helsinki, from Helsinki to Copenhagen, from Helsinki to Split, from Naples to Valencia, from Naples to Santorini, from Split to Copenhagen, from Valencia to Copenhagen.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Brussels.\n**Day 7-9:** Visit Brussels for 3 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-11:** Visit Helsinki for 3 days.\n**Day 11:** Fly from Helsinki to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Lyon.\n**Day 16-20:** Visit Lyon for 5 days.\n**Day 20:** Fly from Lyon to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.\n**Day 21:** Fly from Valencia to Copenhagen.\n**Day 21-24:** Visit Copenhagen for 4 days.\n**Day 24:** Fly from Copenhagen to Santorini.\n**Day 24-25:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1415",
    "estimated_output_tokens": 3349,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Venice, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Helsinki, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 3.\n* City: Brussels, Fixed Schedule: Day 7 - 9.\n* City: Split, Fixed Schedule: Day 11 - 13.\n* City: Lyon, Fixed Schedule: Day 16 - 20.\n* City: Valencia, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Oslo, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 7 - 9).\n |- The departure day of Naples is Day 3. The arrival day of Brussels is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Venice, Oslo, Helsinki, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Naples to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 7 - 9).\n   |- The departure day of Santorini is Day 4. The arrival day of Brussels is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Santorini].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Helsinki, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Santorini to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 7 - 9).\n     |- The departure day of Oslo is Day 7. The arrival day of Brussels is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Santorini, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Brussels.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Santorini to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Santorini to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Naples to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 7 - 9).\n   |- The departure day of Venice is Day 7. The arrival day of Brussels is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Naples, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Split (Day 11 - 13).\n     |- The departure day of Brussels is Day 9. The arrival day of Split is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Naples, Venice, Brussels].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Oslo, Helsinki, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Brussels to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Brussels to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n       |- The departure day of Oslo is Day 12. The arrival day of Split is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Brussels to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n       |- The departure day of Helsinki is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Naples, Venice, Brussels, Helsinki].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Helsinki to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 16 - 20).\n         |- The departure day of Split is Day 13. The arrival day of Lyon is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Naples, Venice, Brussels, Helsinki, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Oslo, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Split to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 16 - 20).\n           |- The departure day of Oslo is Day 16. The arrival day of Lyon is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, Venice, Brussels, Helsinki, Split, Oslo].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Lyon.\n             |- Try arranging to visit Lyon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Oslo to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Valencia (Day 20 - 21).\n             |- The departure day of Lyon is Day 20. The arrival day of Valencia is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Naples, Venice, Brussels, Helsinki, Split, Oslo, Lyon].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Lyon to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Naples, Venice, Brussels, Helsinki, Split, Oslo, Lyon, Valencia].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Valencia to Santorini.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Copenhagen from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Valencia to Copenhagen.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Naples, Venice, Brussels, Helsinki, Split, Oslo, Lyon, Valencia, Copenhagen].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Copenhagen to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Naples, Venice, Brussels, Helsinki, Split, Oslo, Lyon, Valencia, Copenhagen, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Venice.\n**Day 3-7:** Visit Venice for 5 days.\n**Day 7:** Fly from Venice to Brussels.\n**Day 7-9:** Visit Brussels for 3 days.\n**Day 9:** Fly from Brussels to Helsinki.\n**Day 9-11:** Visit Helsinki for 3 days.\n**Day 11:** Fly from Helsinki to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Lyon.\n**Day 16-20:** Visit Lyon for 5 days.\n**Day 20:** Fly from Lyon to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.\n**Day 21:** Fly from Valencia to Copenhagen.\n**Day 21-24:** Visit Copenhagen for 4 days.\n**Day 24:** Fly from Copenhagen to Santorini.\n**Day 24-25:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Lyon**Porto**Seville**Valencia**Krakow**Warsaw**Reykjavik**Madrid**Santorini",
    "ground_truth_durations": "5**2**4**5**4**4**2**4**2**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 24,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Nice",
        "Porto"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Reykjavik"
      ],
      [
        "Warsaw",
        "Madrid"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Nice",
        "Lyon"
      ],
      [
        "Seville",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You want to spend 2 days in Madrid. You plan to visit relatives in Madrid between day 23 and day 24. You would like to visit Nice for 5 days. During day 1 and day 5, you have to attend a conference in Nice. You plan to stay in Seville for 5 days. You would like to visit Reykjavik for 4 days. You would like to meet your friends at Reykjavik between day 20 and day 23 to tour together. You plan to stay in Santorini for 5 days. From day 24 to day 28, there is a annual show you want to attend in Santorini. You would like to visit Porto for 4 days. You want to spend 4 days in Krakow. You plan to stay in Valencia for 4 days. You plan to stay in Warsaw for 2 days.\n\nHere are the cities that have direct flights:\nPorto and Warsaw, Madrid and Santorini, Lyon and Valencia, Nice and Porto, from Reykjavik to Madrid, Krakow and Warsaw, Warsaw and Reykjavik, Warsaw and Madrid, Valencia and Warsaw, Porto and Valencia, Lyon and Madrid, Nice and Reykjavik, Nice and Warsaw, Porto and Madrid, Valencia and Krakow, Lyon and Porto, Valencia and Madrid, Porto and Seville, Seville and Valencia, Nice and Madrid, Nice and Lyon, Seville and Madrid.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Lyon. You want to spend 2 days in Madrid. You plan to visit relatives in Madrid between day 23 and day 24. You would like to visit Nice for 5 days. During day 1 and day 5, you have to attend a conference in Nice. You plan to stay in Seville for 5 days. You would like to visit Reykjavik for 4 days. You would like to meet your friends at Reykjavik between day 20 and day 23 to tour together. You plan to stay in Santorini for 5 days. From day 24 to day 28, there is a annual show you want to attend in Santorini. You would like to visit Porto for 4 days. You want to spend 4 days in Krakow. You plan to stay in Valencia for 4 days. You plan to stay in Warsaw for 2 days.\n\nHere are the cities that have direct flights:\nfrom Porto to Warsaw, from Madrid to Santorini, from Lyon to Valencia, from Nice to Porto, from Reykjavik to Madrid, from Krakow to Warsaw, from Warsaw to Reykjavik, from Warsaw to Madrid, from Valencia to Warsaw, from Porto to Valencia, from Lyon to Madrid, from Nice to Reykjavik, from Nice to Warsaw, from Porto to Madrid, from Valencia to Krakow, from Lyon to Porto, from Valencia to Madrid, from Porto to Seville, from Seville to Valencia, from Nice to Madrid, from Nice to Lyon, from Seville to Madrid.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-19:** Visit Krakow for 4 days.\n**Day 19:** Fly from Krakow to Warsaw.\n**Day 19-20:** Visit Warsaw for 2 days.\n**Day 20:** Fly from Warsaw to Reykjavik.\n**Day 20-23:** Visit Reykjavik for 4 days.\n**Day 23:** Fly from Reykjavik to Madrid.\n**Day 23-24:** Visit Madrid for 2 days.\n**Day 24:** Fly from Madrid to Santorini.\n**Day 24-28:** Visit Santorini for 5 days.",
    "id": "trip_planning_example_1416",
    "estimated_output_tokens": 2732,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Seville, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 24 - 28.\n* City: Porto, Duration: 4 days.\n* City: Krakow, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n* City: Warsaw, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Fixed Schedule: Day 20 - 23.\n* City: Madrid, Fixed Schedule: Day 23 - 24.\n* City: Santorini, Fixed Schedule: Day 24 - 28.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Seville, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Krakow, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n* City: Warsaw, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 20 - 23).\n |- The departure day of Nice is Day 5. The arrival day of Reykjavik is Day 20. Day 5 is not later than (<=) Day 20. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Seville, Porto, Krakow, Valencia, Warsaw] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Nice to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 20 - 23).\n   |- The departure day of Lyon is Day 6. The arrival day of Reykjavik is Day 20. Day 6 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Porto, Krakow, Valencia, Warsaw] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Lyon to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lyon to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 20 - 23).\n     |- The departure day of Porto is Day 9. The arrival day of Reykjavik is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Lyon, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Krakow, Valencia, Warsaw] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 20 - 23).\n       |- The departure day of Seville is Day 13. The arrival day of Reykjavik is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Lyon, Porto, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia, Warsaw] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Seville to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Seville to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 20 - 23).\n         |- The departure day of Valencia is Day 16. The arrival day of Reykjavik is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Nice, Lyon, Porto, Seville, Valencia].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Warsaw] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Valencia to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Reykjavik (Day 20 - 23).\n           |- The departure day of Krakow is Day 19. The arrival day of Reykjavik is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Nice, Lyon, Porto, Seville, Valencia, Krakow].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Krakow to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Reykjavik (Day 20 - 23).\n             |- The departure day of Warsaw is Day 20. The arrival day of Reykjavik is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Nice, Lyon, Porto, Seville, Valencia, Krakow, Warsaw].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Reykjavik.\n               |- Try arranging to visit Reykjavik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Warsaw to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Madrid (Day 23 - 24).\n               |- The departure day of Reykjavik is Day 23. The arrival day of Madrid is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Nice, Lyon, Porto, Seville, Valencia, Krakow, Warsaw, Reykjavik].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Madrid.\n                 |- Try arranging to visit Madrid from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Reykjavik to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Santorini (Day 24 - 28).\n                 |- The departure day of Madrid is Day 24. The arrival day of Santorini is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Nice, Lyon, Porto, Seville, Valencia, Krakow, Warsaw, Reykjavik, Madrid].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- Yes. The city with an arrival day of Day 24 - is fixed: Santorini.\n                   |- Try arranging to visit Santorini from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Madrid to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Nice, Lyon, Porto, Seville, Valencia, Krakow, Warsaw, Reykjavik, Madrid, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Seville.\n**Day 9-13:** Visit Seville for 5 days.\n**Day 13:** Fly from Seville to Valencia.\n**Day 13-16:** Visit Valencia for 4 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-19:** Visit Krakow for 4 days.\n**Day 19:** Fly from Krakow to Warsaw.\n**Day 19-20:** Visit Warsaw for 2 days.\n**Day 20:** Fly from Warsaw to Reykjavik.\n**Day 20-23:** Visit Reykjavik for 4 days.\n**Day 23:** Fly from Reykjavik to Madrid.\n**Day 23-24:** Visit Madrid for 2 days.\n**Day 24:** Fly from Madrid to Santorini.\n**Day 24-28:** Visit Santorini for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Split**Prague**Riga**Bucharest**Barcelona**Stuttgart**Hamburg**Nice**Mykonos",
    "ground_truth_durations": "3**4**5**3**3**2**5**4**3**3",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Nice"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Madrid",
        "Prague"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Split",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You want to spend 5 days in Stuttgart. You would like to meet your friends at Stuttgart between day 15 and day 19 to tour together. You plan to stay in Split for 4 days. You want to meet a friend in Split between day 3 and day 6. You would like to visit Madrid for 3 days. You would like to visit Nice for 3 days. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 14 and day 15. You plan to stay in Mykonos for 3 days. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 12 and day 14. You would like to visit Hamburg for 4 days. From day 19 to day 22, there is a annual show you want to attend in Hamburg. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nMadrid and Nice, Split and Stuttgart, Madrid and Barcelona, Riga and Barcelona, Bucharest and Barcelona, Prague and Bucharest, Stuttgart and Hamburg, Riga and Bucharest, Madrid and Bucharest, Madrid and Prague, Nice and Mykonos, Barcelona and Hamburg, from Riga to Hamburg, Riga and Nice, Hamburg and Nice, Prague and Barcelona, Split and Prague, Split and Hamburg, Prague and Riga, Madrid and Split, Madrid and Hamburg, Madrid and Mykonos, Barcelona and Nice, Split and Barcelona, Barcelona and Stuttgart, Bucharest and Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You want to spend 5 days in Stuttgart. You would like to meet your friends at Stuttgart between day 15 and day 19 to tour together. You plan to stay in Split for 4 days. You want to meet a friend in Split between day 3 and day 6. You would like to visit Madrid for 3 days. You would like to visit Nice for 3 days. You want to spend 2 days in Barcelona. You have to attend a workshop in Barcelona between day 14 and day 15. You plan to stay in Mykonos for 3 days. You plan to stay in Bucharest for 3 days. You plan to visit relatives in Bucharest between day 12 and day 14. You would like to visit Hamburg for 4 days. From day 19 to day 22, there is a annual show you want to attend in Hamburg. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nfrom Madrid to Nice, from Split to Stuttgart, from Madrid to Barcelona, from Riga to Barcelona, from Bucharest to Barcelona, from Prague to Bucharest, from Stuttgart to Hamburg, from Riga to Bucharest, from Madrid to Bucharest, from Madrid to Prague, from Nice to Mykonos, from Barcelona to Hamburg, from Riga to Hamburg, from Riga to Nice, from Hamburg to Nice, from Prague to Barcelona, from Split to Prague, from Split to Hamburg, from Prague to Riga, from Madrid to Split, from Madrid to Hamburg, from Madrid to Mykonos, from Barcelona to Nice, from Split to Barcelona, from Barcelona to Stuttgart, from Bucharest to Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Split.\n**Day 3-6:** Visit Split for 4 days.\n**Day 6:** Fly from Split to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Riga.\n**Day 10-12:** Visit Riga for 3 days.\n**Day 12:** Fly from Riga to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n**Day 14:** Fly from Bucharest to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Nice.\n**Day 22-24:** Visit Nice for 3 days.\n**Day 24:** Fly from Nice to Mykonos.\n**Day 24-26:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1417",
    "estimated_output_tokens": 2888,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Madrid, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Mykonos, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Prague, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 3 - 6.\n* City: Bucharest, Fixed Schedule: Day 12 - 14.\n* City: Barcelona, Fixed Schedule: Day 14 - 15.\n* City: Stuttgart, Fixed Schedule: Day 15 - 19.\n* City: Hamburg, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Madrid, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Mykonos, Duration: 3 days.\n* City: Prague, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Madrid, Nice, Mykonos, Prague] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 3 - 6).\n |- The departure day of Riga is Day 3. The arrival day of Split is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Split.\n   |- Try arranging to visit Split from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 3 - 6).\n |- The departure day of Madrid is Day 3. The arrival day of Split is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Split.\n   |- Try arranging to visit Split from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Madrid to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Bucharest (Day 12 - 14).\n   |- The departure day of Split is Day 6. The arrival day of Bucharest is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Split].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Nice, Mykonos, Prague] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Split to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Split to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 12 - 14).\n     |- The departure day of Prague is Day 10. The arrival day of Bucharest is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Split, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Nice, Mykonos] and explore these options in order.\n       |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Prague to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 12 - 14).\n       |- The departure day of Riga is Day 12. The arrival day of Bucharest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Split, Prague, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Riga to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Barcelona (Day 14 - 15).\n         |- The departure day of Bucharest is Day 14. The arrival day of Barcelona is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Madrid, Split, Prague, Riga, Bucharest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Barcelona.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Bucharest to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 15 - 19).\n           |- The departure day of Barcelona is Day 15. The arrival day of Stuttgart is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Madrid, Split, Prague, Riga, Bucharest, Barcelona].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Barcelona to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 19 - 22).\n             |- The departure day of Stuttgart is Day 19. The arrival day of Hamburg is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Madrid, Split, Prague, Riga, Bucharest, Barcelona, Stuttgart].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Stuttgart to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Madrid, Split, Prague, Riga, Bucharest, Barcelona, Stuttgart, Hamburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Hamburg to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Madrid, Split, Prague, Riga, Bucharest, Barcelona, Stuttgart, Hamburg, Nice].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                   |- Check for direct flight from Nice to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Madrid, Split, Prague, Riga, Bucharest, Barcelona, Stuttgart, Hamburg, Nice, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Split.\n**Day 3-6:** Visit Split for 4 days.\n**Day 6:** Fly from Split to Prague.\n**Day 6-10:** Visit Prague for 5 days.\n**Day 10:** Fly from Prague to Riga.\n**Day 10-12:** Visit Riga for 3 days.\n**Day 12:** Fly from Riga to Bucharest.\n**Day 12-14:** Visit Bucharest for 3 days.\n**Day 14:** Fly from Bucharest to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Stuttgart.\n**Day 15-19:** Visit Stuttgart for 5 days.\n**Day 19:** Fly from Stuttgart to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Nice.\n**Day 22-24:** Visit Nice for 3 days.\n**Day 24:** Fly from Nice to Mykonos.\n**Day 24-26:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Brussels**Reykjavik**Prague**Istanbul**Madrid**Milan**Stuttgart**Amsterdam**Geneva",
    "ground_truth_durations": "5**4**5**2**4**2**2**3**3**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Brussels",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Berlin",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You would like to meet your friends at Madrid between day 16 and day 17 to tour together. You would like to visit Istanbul for 4 days. During day 13 and day 16, you have to attend a conference in Istanbul. You would like to visit Prague for 2 days. You plan to stay in Amsterdam for 3 days. You want to spend 4 days in Brussels. You want to spend 5 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 12. You want to spend 3 days in Stuttgart. You plan to visit relatives in Stuttgart between day 18 and day 20. You plan to stay in Geneva for 3 days. You would like to visit Berlin for 5 days. You want to meet a friend in Berlin between day 1 and day 5. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nBrussels and Geneva, Stuttgart and Amsterdam, Berlin and Stuttgart, Prague and Amsterdam, Prague and Geneva, Milan and Amsterdam, Brussels and Istanbul, Brussels and Prague, Prague and Istanbul, Istanbul and Madrid, Istanbul and Stuttgart, Istanbul and Amsterdam, Prague and Madrid, Brussels and Milan, Madrid and Geneva, Reykjavik and Milan, Brussels and Reykjavik, Istanbul and Geneva, Berlin and Geneva, Berlin and Reykjavik, Berlin and Milan, Milan and Stuttgart, Berlin and Amsterdam, Berlin and Madrid, Amsterdam and Geneva, Istanbul and Milan, Brussels and Madrid, from Reykjavik to Stuttgart, Madrid and Milan, Reykjavik and Prague, Reykjavik and Amsterdam, Prague and Milan, Berlin and Brussels, Madrid and Amsterdam, from Reykjavik to Madrid, Berlin and Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You would like to meet your friends at Madrid between day 16 and day 17 to tour together. You would like to visit Istanbul for 4 days. During day 13 and day 16, you have to attend a conference in Istanbul. You would like to visit Prague for 2 days. You plan to stay in Amsterdam for 3 days. You want to spend 4 days in Brussels. You want to spend 5 days in Reykjavik. You have to attend a workshop in Reykjavik between day 8 and day 12. You want to spend 3 days in Stuttgart. You plan to visit relatives in Stuttgart between day 18 and day 20. You plan to stay in Geneva for 3 days. You would like to visit Berlin for 5 days. You want to meet a friend in Berlin between day 1 and day 5. You want to spend 2 days in Milan.\n\nHere are the cities that have direct flights:\nfrom Brussels to Geneva, from Stuttgart to Amsterdam, from Berlin to Stuttgart, from Prague to Amsterdam, from Prague to Geneva, from Milan to Amsterdam, from Brussels to Istanbul, from Brussels to Prague, from Prague to Istanbul, from Istanbul to Madrid, from Istanbul to Stuttgart, from Istanbul to Amsterdam, from Prague to Madrid, from Brussels to Milan, from Madrid to Geneva, from Reykjavik to Milan, from Brussels to Reykjavik, from Istanbul to Geneva, from Berlin to Geneva, from Berlin to Reykjavik, from Berlin to Milan, from Milan to Stuttgart, from Berlin to Amsterdam, from Berlin to Madrid, from Amsterdam to Geneva, from Istanbul to Milan, from Brussels to Madrid, from Reykjavik to Stuttgart, from Madrid to Milan, from Reykjavik to Prague, from Reykjavik to Amsterdam, from Prague to Milan, from Berlin to Brussels, from Madrid to Amsterdam, from Reykjavik to Madrid, from Berlin to Istanbul.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Madrid.\n**Day 16-17:** Visit Madrid for 2 days.\n**Day 17:** Fly from Madrid to Milan.\n**Day 17-18:** Visit Milan for 2 days.\n**Day 18:** Fly from Milan to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Amsterdam.\n**Day 20-22:** Visit Amsterdam for 3 days.\n**Day 22:** Fly from Amsterdam to Geneva.\n**Day 22-24:** Visit Geneva for 3 days.",
    "id": "trip_planning_example_1418",
    "estimated_output_tokens": 3236,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Prague, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Geneva, Duration: 3 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Milan, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 5.\n* City: Reykjavik, Fixed Schedule: Day 8 - 12.\n* City: Istanbul, Fixed Schedule: Day 13 - 16.\n* City: Madrid, Fixed Schedule: Day 16 - 17.\n* City: Stuttgart, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Brussels, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 12).\n |- The departure day of Berlin is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Amsterdam, Brussels, Geneva, Milan] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Berlin to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 12).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Reykjavik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Brussels, Geneva, Milan] and explore these options in order.\n     |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Amsterdam to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Amsterdam to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 8 - 12).\n     |- The departure day of Geneva is Day 9. The arrival day of Reykjavik is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Amsterdam to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 12).\n   |- The departure day of Brussels is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Brussels to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 13 - 16).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Istanbul is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Berlin, Brussels, Reykjavik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Amsterdam, Geneva, Milan] and explore these options in order.\n       |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Reykjavik to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Istanbul (Day 13 - 16).\n       |- The departure day of Prague is Day 13. The arrival day of Istanbul is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Berlin, Brussels, Reykjavik, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Prague to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Madrid (Day 16 - 17).\n         |- The departure day of Istanbul is Day 16. The arrival day of Madrid is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Istanbul to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 18 - 20).\n           |- The departure day of Madrid is Day 17. The arrival day of Stuttgart is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul, Madrid].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Geneva, Milan] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Madrid to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 18 - 20).\n             |- The departure day of Amsterdam is Day 19. The arrival day of Stuttgart is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Geneva from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Madrid to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 18 - 20).\n             |- The departure day of Geneva is Day 19. The arrival day of Stuttgart is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Milan from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Madrid to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stuttgart (Day 18 - 20).\n             |- The departure day of Milan is Day 18. The arrival day of Stuttgart is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul, Madrid, Milan].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Milan to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul, Madrid, Milan, Stuttgart].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Amsterdam, Geneva] and explore these options in order.\n                 |- Try arranging to visit Amsterdam from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Stuttgart to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul, Madrid, Milan, Stuttgart, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                   |- Try arranging to visit Geneva from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Amsterdam to Geneva.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Berlin, Brussels, Reykjavik, Prague, Istanbul, Madrid, Milan, Stuttgart, Amsterdam, Geneva].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Berlin and visit Berlin for 5 days.\n**Day 5:** Fly from Berlin to Brussels.\n**Day 5-8:** Visit Brussels for 4 days.\n**Day 8:** Fly from Brussels to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Istanbul.\n**Day 13-16:** Visit Istanbul for 4 days.\n**Day 16:** Fly from Istanbul to Madrid.\n**Day 16-17:** Visit Madrid for 2 days.\n**Day 17:** Fly from Madrid to Milan.\n**Day 17-18:** Visit Milan for 2 days.\n**Day 18:** Fly from Milan to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Amsterdam.\n**Day 20-22:** Visit Amsterdam for 3 days.\n**Day 22:** Fly from Amsterdam to Geneva.\n**Day 22-24:** Visit Geneva for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Amsterdam**Tallinn**Munich**Copenhagen**Budapest**Geneva**Split**Madrid**Seville",
    "ground_truth_durations": "2**5**3**5**2**2**3**2**5**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Split",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Munich",
        "Madrid"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Madrid"
      ],
      [
        "Santorini",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Budapest. You want to meet a friend in Budapest between day 13 and day 14. You want to spend 5 days in Munich. During day 8 and day 12, you have to attend a conference in Munich. You would like to visit Split for 2 days. You want to spend 2 days in Santorini. You would like to meet your friends at Santorini between day 1 and day 2 to tour together. You plan to stay in Amsterdam for 5 days. You want to spend 3 days in Geneva. You would like to visit Madrid for 5 days. You would like to visit Seville for 4 days. You are going to attend a wedding in Seville between day 21 and day 24. You want to spend 2 days in Copenhagen. From day 12 to day 13, there is a annual show you want to attend in Copenhagen. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Tallinn, Tallinn and Copenhagen, Munich and Split, Madrid and Seville, Amsterdam and Geneva, Geneva and Madrid, Copenhagen and Madrid, Munich and Seville, Tallinn and Munich, Munich and Copenhagen, Amsterdam and Split, Budapest and Geneva, Copenhagen and Geneva, Santorini and Copenhagen, Munich and Budapest, Split and Madrid, Copenhagen and Split, Amsterdam and Budapest, Budapest and Madrid, Munich and Madrid, Munich and Geneva, Amsterdam and Munich, Copenhagen and Budapest, Geneva and Split, Amsterdam and Copenhagen, Amsterdam and Seville, Santorini and Madrid, Santorini and Geneva, Amsterdam and Madrid, Santorini and Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Budapest. You want to meet a friend in Budapest between day 13 and day 14. You want to spend 5 days in Munich. During day 8 and day 12, you have to attend a conference in Munich. You would like to visit Split for 2 days. You want to spend 2 days in Santorini. You would like to meet your friends at Santorini between day 1 and day 2 to tour together. You plan to stay in Amsterdam for 5 days. You want to spend 3 days in Geneva. You would like to visit Madrid for 5 days. You would like to visit Seville for 4 days. You are going to attend a wedding in Seville between day 21 and day 24. You want to spend 2 days in Copenhagen. From day 12 to day 13, there is a annual show you want to attend in Copenhagen. You plan to stay in Tallinn for 3 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Tallinn, from Tallinn to Copenhagen, from Munich to Split, from Madrid to Seville, from Amsterdam to Geneva, from Geneva to Madrid, from Copenhagen to Madrid, from Munich to Seville, from Tallinn to Munich, from Munich to Copenhagen, from Amsterdam to Split, from Budapest to Geneva, from Copenhagen to Geneva, from Santorini to Copenhagen, from Munich to Budapest, from Split to Madrid, from Copenhagen to Split, from Amsterdam to Budapest, from Budapest to Madrid, from Munich to Madrid, from Munich to Geneva, from Amsterdam to Munich, from Copenhagen to Budapest, from Geneva to Split, from Amsterdam to Copenhagen, from Amsterdam to Seville, from Santorini to Madrid, from Santorini to Geneva, from Amsterdam to Madrid, from Santorini to Amsterdam.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Amsterdam.\n**Day 2-6:** Visit Amsterdam for 5 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Munich.\n**Day 8-12:** Visit Munich for 5 days.\n**Day 12:** Fly from Munich to Copenhagen.\n**Day 12-13:** Visit Copenhagen for 2 days.\n**Day 13:** Fly from Copenhagen to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Madrid.\n**Day 17-21:** Visit Madrid for 5 days.\n**Day 21:** Fly from Madrid to Seville.\n**Day 21-24:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1419",
    "estimated_output_tokens": 3448,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Split, Duration: 2 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Amsterdam, Duration: 5 days.\n* City: Geneva, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Tallinn, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 2.\n* City: Munich, Fixed Schedule: Day 8 - 12.\n* City: Copenhagen, Fixed Schedule: Day 12 - 13.\n* City: Budapest, Fixed Schedule: Day 13 - 14.\n* City: Seville, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Geneva, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 8 - 12).\n |- The departure day of Santorini is Day 2. The arrival day of Munich is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Amsterdam, Geneva, Madrid, Tallinn] and explore these options in order.\n   |- Try arranging to visit Split from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Munich (Day 8 - 12).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Munich is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Madrid, Tallinn] and explore these options in order.\n     |- Try arranging to visit Split from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Split is Day 7. The arrival day of Munich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Amsterdam, Split].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Madrid, Tallinn] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Split to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Split to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 8 - 12).\n       |- The departure day of Madrid is Day 11. The arrival day of Munich is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Split to Tallinn.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Amsterdam to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Geneva is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Amsterdam, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Geneva to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Madrid is Day 10. The arrival day of Munich is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Munich (Day 8 - 12).\n     |- The departure day of Tallinn is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 12 - 13).\n       |- The departure day of Munich is Day 12. The arrival day of Copenhagen is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, Amsterdam, Tallinn, Munich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Munich to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 13 - 14).\n         |- The departure day of Copenhagen is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Copenhagen to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 21 - 24).\n           |- The departure day of Budapest is Day 14. The arrival day of Seville is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen, Budapest].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Madrid] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Budapest to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Budapest to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 24).\n             |- The departure day of Geneva is Day 16. The arrival day of Seville is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen, Budapest, Geneva].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Madrid] and explore these options in order.\n               |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Geneva to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Seville (Day 21 - 24).\n               |- The departure day of Split is Day 17. The arrival day of Seville is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen, Budapest, Geneva, Split].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n                 |- Try arranging to visit Madrid from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Split to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Seville (Day 21 - 24).\n                 |- The departure day of Madrid is Day 21. The arrival day of Seville is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen, Budapest, Geneva, Split, Madrid].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Seville.\n                   |- Try arranging to visit Seville from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Madrid to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Santorini, Amsterdam, Tallinn, Munich, Copenhagen, Budapest, Geneva, Split, Madrid, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Amsterdam.\n**Day 2-6:** Visit Amsterdam for 5 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Munich.\n**Day 8-12:** Visit Munich for 5 days.\n**Day 12:** Fly from Munich to Copenhagen.\n**Day 12-13:** Visit Copenhagen for 2 days.\n**Day 13:** Fly from Copenhagen to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Madrid.\n**Day 17-21:** Visit Madrid for 5 days.\n**Day 21:** Fly from Madrid to Seville.\n**Day 21-24:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Prague**Milan**Vienna**Lyon**Amsterdam**Dubrovnik**Stockholm**Hamburg**Warsaw",
    "ground_truth_durations": "5**5**4**2**4**4**4**2**4**5",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 12,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Valencia",
        "Prague"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 9 and day 12 to tour together. You want to spend 5 days in Valencia. You plan to visit relatives in Valencia between day 1 and day 5. You want to spend 2 days in Stockholm. You plan to stay in Warsaw for 5 days. You want to spend 4 days in Hamburg. From day 23 to day 26, there is a annual show you want to attend in Hamburg. You want to spend 4 days in Dubrovnik. You want to spend 5 days in Prague. You want to spend 4 days in Amsterdam. You would like to visit Lyon for 4 days. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 12 and day 13.\n\nHere are the cities that have direct flights:\nPrague and Lyon, Dubrovnik and Stockholm, Amsterdam and Hamburg, Vienna and Amsterdam, Amsterdam and Warsaw, Valencia and Milan, Vienna and Hamburg, Valencia and Prague, Lyon and Amsterdam, Prague and Amsterdam, Milan and Stockholm, Milan and Amsterdam, Vienna and Warsaw, Prague and Stockholm, Valencia and Warsaw, Milan and Vienna, Amsterdam and Dubrovnik, Valencia and Vienna, Prague and Warsaw, Vienna and Stockholm, Stockholm and Warsaw, Valencia and Amsterdam, Prague and Vienna, Milan and Hamburg, Amsterdam and Stockholm, Prague and Milan, Milan and Warsaw, Vienna and Lyon, Hamburg and Warsaw, Stockholm and Hamburg, Valencia and Lyon, Vienna and Dubrovnik.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 4 days. You would like to meet your friends at Milan between day 9 and day 12 to tour together. You want to spend 5 days in Valencia. You plan to visit relatives in Valencia between day 1 and day 5. You want to spend 2 days in Stockholm. You plan to stay in Warsaw for 5 days. You want to spend 4 days in Hamburg. From day 23 to day 26, there is a annual show you want to attend in Hamburg. You want to spend 4 days in Dubrovnik. You want to spend 5 days in Prague. You want to spend 4 days in Amsterdam. You would like to visit Lyon for 4 days. You would like to visit Vienna for 2 days. You want to meet a friend in Vienna between day 12 and day 13.\n\nHere are the cities that have direct flights:\nfrom Prague to Lyon, from Dubrovnik to Stockholm, from Amsterdam to Hamburg, from Vienna to Amsterdam, from Amsterdam to Warsaw, from Valencia to Milan, from Vienna to Hamburg, from Valencia to Prague, from Lyon to Amsterdam, from Prague to Amsterdam, from Milan to Stockholm, from Milan to Amsterdam, from Vienna to Warsaw, from Prague to Stockholm, from Valencia to Warsaw, from Milan to Vienna, from Amsterdam to Dubrovnik, from Valencia to Vienna, from Prague to Warsaw, from Vienna to Stockholm, from Stockholm to Warsaw, from Valencia to Amsterdam, from Prague to Vienna, from Milan to Hamburg, from Amsterdam to Stockholm, from Prague to Milan, from Milan to Warsaw, from Vienna to Lyon, from Hamburg to Warsaw, from Stockholm to Hamburg, from Valencia to Lyon, from Vienna to Dubrovnik.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Milan.\n**Day 9-12:** Visit Milan for 4 days.\n**Day 12:** Fly from Milan to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Amsterdam.\n**Day 16-19:** Visit Amsterdam for 4 days.\n**Day 19:** Fly from Amsterdam to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Stockholm.\n**Day 22-23:** Visit Stockholm for 2 days.\n**Day 23:** Fly from Stockholm to Hamburg.\n**Day 23-26:** Visit Hamburg for 4 days.\n**Day 26:** Fly from Hamburg to Warsaw.\n**Day 26-30:** Visit Warsaw for 5 days.",
    "id": "trip_planning_example_1420",
    "estimated_output_tokens": 7722,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stockholm, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Dubrovnik, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 5.\n* City: Milan, Fixed Schedule: Day 9 - 12.\n* City: Vienna, Fixed Schedule: Day 12 - 13.\n* City: Hamburg, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 9 - 12).\n |- The departure day of Valencia is Day 5. The arrival day of Milan is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Dubrovnik, Prague, Amsterdam, Lyon] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Valencia to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 9 - 12).\n   |- The departure day of Warsaw is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Warsaw to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Valencia to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Valencia to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 9 - 12).\n   |- The departure day of Prague is Day 9. The arrival day of Milan is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Valencia, Prague].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Prague to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 12 - 13).\n     |- The departure day of Milan is Day 12. The arrival day of Vienna is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Valencia, Prague, Milan].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Milan to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 23 - 26).\n       |- The departure day of Vienna is Day 13. The arrival day of Hamburg is Day 23. Day 13 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Valencia, Prague, Milan, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Dubrovnik, Amsterdam, Lyon] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Vienna to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 23 - 26).\n         |- The departure day of Stockholm is Day 14. The arrival day of Hamburg is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Valencia, Prague, Milan, Vienna, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik, Amsterdam, Lyon] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stockholm to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 23 - 26).\n           |- The departure day of Warsaw is Day 18. The arrival day of Hamburg is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Valencia, Prague, Milan, Vienna, Stockholm, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Amsterdam, Lyon] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Warsaw to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Warsaw to Amsterdam.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Warsaw to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Stockholm to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Stockholm to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Stockholm to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 23 - 26).\n         |- The departure day of Warsaw is Day 17. The arrival day of Hamburg is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Valencia, Prague, Milan, Vienna, Warsaw].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Amsterdam, Lyon] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Warsaw to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Warsaw to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Warsaw to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Warsaw to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 23 - 26).\n         |- The departure day of Dubrovnik is Day 16. The arrival day of Hamburg is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Valencia, Prague, Milan, Vienna, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Amsterdam, Lyon] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dubrovnik to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 23 - 26).\n           |- The departure day of Stockholm is Day 17. The arrival day of Hamburg is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Prague, Milan, Vienna, Dubrovnik, Stockholm].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Amsterdam, Lyon] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Stockholm to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 23 - 26).\n             |- The departure day of Warsaw is Day 21. The arrival day of Hamburg is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Valencia, Prague, Milan, Vienna, Dubrovnik, Stockholm, Warsaw].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Amsterdam, Lyon] and explore these options in order.\n               |- Try arranging to visit Amsterdam from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Warsaw to Amsterdam.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Warsaw to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Stockholm to Amsterdam.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Stockholm to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Dubrovnik to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Dubrovnik to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Dubrovnik to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 23 - 26).\n         |- The departure day of Amsterdam is Day 16. The arrival day of Hamburg is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Dubrovnik, Lyon] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Amsterdam to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 23 - 26).\n           |- The departure day of Stockholm is Day 17. The arrival day of Hamburg is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam, Stockholm].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik, Lyon] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Stockholm to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 23 - 26).\n             |- The departure day of Warsaw is Day 21. The arrival day of Hamburg is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam, Stockholm, Warsaw].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Warsaw to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Warsaw to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Stockholm to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Stockholm to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Amsterdam to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 23 - 26).\n           |- The departure day of Warsaw is Day 20. The arrival day of Hamburg is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam, Warsaw].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Lyon] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Warsaw to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Warsaw to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Warsaw to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Amsterdam to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 23 - 26).\n           |- The departure day of Dubrovnik is Day 19. The arrival day of Hamburg is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Lyon] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Dubrovnik to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 23 - 26).\n             |- The departure day of Stockholm is Day 20. The arrival day of Hamburg is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Valencia, Prague, Milan, Vienna, Amsterdam, Dubrovnik, Stockholm].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Lyon] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Stockholm to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Hamburg (Day 23 - 26).\n               |- The departure day of Warsaw is Day 24. The arrival day of Hamburg is Day 23. Day 24 is later than (>) Day 23. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Lyon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Stockholm to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Dubrovnik to Warsaw.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Dubrovnik to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Amsterdam to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 23 - 26).\n         |- The departure day of Lyon is Day 16. The arrival day of Hamburg is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Valencia, Prague, Milan, Vienna, Lyon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Dubrovnik, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lyon to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Lyon to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Lyon to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Lyon to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 23 - 26).\n           |- The departure day of Amsterdam is Day 19. The arrival day of Hamburg is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Amsterdam to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 23 - 26).\n             |- The departure day of Stockholm is Day 20. The arrival day of Hamburg is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Stockholm].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Stockholm to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Hamburg (Day 23 - 26).\n               |- The departure day of Warsaw is Day 24. The arrival day of Hamburg is Day 23. Day 24 is later than (>) Day 23. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Dubrovnik from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Stockholm to Dubrovnik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Amsterdam to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 23 - 26).\n             |- The departure day of Warsaw is Day 23. The arrival day of Hamburg is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Warsaw].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Warsaw to Hamburg.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Hamburg (Day 23 - 26).\n             |- The departure day of Dubrovnik is Day 22. The arrival day of Hamburg is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stockholm, Warsaw] and explore these options in order.\n               |- Try arranging to visit Stockholm from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Dubrovnik to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Hamburg (Day 23 - 26).\n               |- The departure day of Stockholm is Day 23. The arrival day of Hamburg is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Dubrovnik, Stockholm].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Stockholm to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Dubrovnik, Stockholm, Hamburg].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                   |- Try arranging to visit Warsaw from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                   |- Check for direct flight from Hamburg to Warsaw.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Valencia, Prague, Milan, Vienna, Lyon, Amsterdam, Dubrovnik, Stockholm, Hamburg, Warsaw].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Valencia and visit Valencia for 5 days.\n**Day 5:** Fly from Valencia to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Milan.\n**Day 9-12:** Visit Milan for 4 days.\n**Day 12:** Fly from Milan to Vienna.\n**Day 12-13:** Visit Vienna for 2 days.\n**Day 13:** Fly from Vienna to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Amsterdam.\n**Day 16-19:** Visit Amsterdam for 4 days.\n**Day 19:** Fly from Amsterdam to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Stockholm.\n**Day 22-23:** Visit Stockholm for 2 days.\n**Day 23:** Fly from Stockholm to Hamburg.\n**Day 23-26:** Visit Hamburg for 4 days.\n**Day 26:** Fly from Hamburg to Warsaw.\n**Day 26-30:** Visit Warsaw for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Riga**Bucharest**Dublin**Venice**Santorini**Naples**Paris**Florence",
    "ground_truth_durations": "2**4**5**5**3**5**2**4**3**5",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Naples"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Bucharest",
        "Dublin"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Bucharest",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 2 days. You are going to attend a wedding in Porto between day 1 and day 2. You would like to visit Paris for 3 days. You plan to stay in Dublin for 3 days. You plan to stay in Santorini for 2 days. During day 19 and day 20, you have to attend a conference in Santorini. You plan to stay in Naples for 4 days. You want to meet a friend in Naples between day 20 and day 23. You plan to stay in Venice for 5 days. You want to spend 5 days in Florence. From day 25 to day 29, there is a annual show you want to attend in Florence. You plan to stay in Riga for 5 days. You would like to visit Bucharest for 5 days. You would like to visit Milan for 4 days.\n\nHere are the cities that have direct flights:\nMilan and Naples, Dublin and Venice, Dublin and Santorini, Bucharest and Naples, Milan and Paris, Naples and Paris, Bucharest and Paris, Dublin and Naples, Paris and Florence, Venice and Naples, Dublin and Paris, Santorini and Naples, Riga and Bucharest, Porto and Milan, Venice and Paris, Bucharest and Dublin, Porto and Paris, Riga and Paris, Milan and Riga, Venice and Santorini, Porto and Dublin, Riga and Dublin, Milan and Santorini, Milan and Dublin, Bucharest and Santorini.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Porto for 2 days. You are going to attend a wedding in Porto between day 1 and day 2. You would like to visit Paris for 3 days. You plan to stay in Dublin for 3 days. You plan to stay in Santorini for 2 days. During day 19 and day 20, you have to attend a conference in Santorini. You plan to stay in Naples for 4 days. You want to meet a friend in Naples between day 20 and day 23. You plan to stay in Venice for 5 days. You want to spend 5 days in Florence. From day 25 to day 29, there is a annual show you want to attend in Florence. You plan to stay in Riga for 5 days. You would like to visit Bucharest for 5 days. You would like to visit Milan for 4 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Naples, from Dublin to Venice, from Dublin to Santorini, from Bucharest to Naples, from Milan to Paris, from Naples to Paris, from Bucharest to Paris, from Dublin to Naples, from Paris to Florence, from Venice to Naples, from Dublin to Paris, from Santorini to Naples, from Riga to Bucharest, from Porto to Milan, from Venice to Paris, from Bucharest to Dublin, from Porto to Paris, from Riga to Paris, from Milan to Riga, from Venice to Santorini, from Porto to Dublin, from Riga to Dublin, from Milan to Santorini, from Milan to Dublin, from Bucharest to Santorini.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Riga.\n**Day 5-9:** Visit Riga for 5 days.\n**Day 9:** Fly from Riga to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Dublin.\n**Day 13-15:** Visit Dublin for 3 days.\n**Day 15:** Fly from Dublin to Venice.\n**Day 15-19:** Visit Venice for 5 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Naples.\n**Day 20-23:** Visit Naples for 4 days.\n**Day 23:** Fly from Naples to Paris.\n**Day 23-25:** Visit Paris for 3 days.\n**Day 25:** Fly from Paris to Florence.\n**Day 25-29:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1421",
    "estimated_output_tokens": 8544,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Paris, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Venice, Duration: 5 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Riga, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Fixed Schedule: Day 19 - 20.\n* City: Naples, Fixed Schedule: Day 20 - 23.\n* City: Florence, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Dublin, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 19 - 20).\n |- The departure day of Porto is Day 2. The arrival day of Santorini is Day 19. Day 2 is not later than (<=) Day 19. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Dublin, Venice, Riga, Bucharest, Milan] and explore these options in order.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 19 - 20).\n   |- The departure day of Paris is Day 4. The arrival day of Santorini is Day 19. Day 4 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dublin, Venice, Riga, Bucharest, Milan] and explore these options in order.\n     |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Paris to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Paris to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Paris to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Paris to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Paris to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Porto to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 19 - 20).\n   |- The departure day of Dublin is Day 4. The arrival day of Santorini is Day 19. Day 4 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Porto, Dublin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Venice, Riga, Bucharest, Milan] and explore these options in order.\n     |- Try arranging to visit Paris from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Dublin to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 19 - 20).\n     |- The departure day of Paris is Day 6. The arrival day of Santorini is Day 19. Day 6 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Porto, Dublin, Paris].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Bucharest, Milan] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Paris to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Paris to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Paris to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Paris to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dublin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 19 - 20).\n     |- The departure day of Venice is Day 8. The arrival day of Santorini is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Dublin, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Riga, Bucharest, Milan] and explore these options in order.\n       |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 19 - 20).\n       |- The departure day of Paris is Day 10. The arrival day of Santorini is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Porto, Dublin, Venice, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest, Milan] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Paris to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Paris to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Paris to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Venice to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dublin to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Dublin to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Dublin to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Porto to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 19 - 20).\n   |- The departure day of Milan is Day 5. The arrival day of Santorini is Day 19. Day 5 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Dublin, Venice, Riga, Bucharest] and explore these options in order.\n     |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 19 - 20).\n     |- The departure day of Paris is Day 7. The arrival day of Santorini is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Porto, Milan, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Venice, Riga, Bucharest] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Paris to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Paris to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dublin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 19 - 20).\n     |- The departure day of Dublin is Day 7. The arrival day of Santorini is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Porto, Milan, Dublin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Venice, Riga, Bucharest] and explore these options in order.\n       |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Dublin to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 19 - 20).\n       |- The departure day of Paris is Day 9. The arrival day of Santorini is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Porto, Milan, Dublin, Paris].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Bucharest] and explore these options in order.\n         |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Paris to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Paris to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Paris to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 19 - 20).\n       |- The departure day of Venice is Day 11. The arrival day of Santorini is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Milan, Dublin, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Riga, Bucharest] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Venice to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 19 - 20).\n         |- The departure day of Paris is Day 13. The arrival day of Santorini is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Milan, Dublin, Venice, Paris].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Bucharest] and explore these options in order.\n           |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Paris to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Paris to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Venice to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Venice to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dublin to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 19 - 20).\n     |- The departure day of Riga is Day 9. The arrival day of Santorini is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Porto, Milan, Riga].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Dublin, Venice, Bucharest] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 19 - 20).\n       |- The departure day of Paris is Day 11. The arrival day of Santorini is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Milan, Riga, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Venice, Bucharest] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Dublin.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Paris to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Paris to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Riga to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 19 - 20).\n       |- The departure day of Dublin is Day 11. The arrival day of Santorini is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Porto, Milan, Riga, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Venice, Bucharest] and explore these options in order.\n         |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Dublin to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 19 - 20).\n         |- The departure day of Paris is Day 13. The arrival day of Santorini is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Porto, Milan, Riga, Dublin, Paris].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Bucharest] and explore these options in order.\n           |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Paris to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Paris to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dublin to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 19 - 20).\n         |- The departure day of Venice is Day 15. The arrival day of Santorini is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Milan, Riga, Dublin, Venice].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Bucharest] and explore these options in order.\n           |- Try arranging to visit Paris from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Venice to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 19 - 20).\n           |- The departure day of Paris is Day 17. The arrival day of Santorini is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Milan, Riga, Dublin, Venice, Paris].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Paris to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Venice to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Dublin to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Riga to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 19 - 20).\n       |- The departure day of Bucharest is Day 13. The arrival day of Santorini is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Milan, Riga, Bucharest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Dublin, Venice] and explore these options in order.\n         |- Try arranging to visit Paris from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Bucharest to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 19 - 20).\n         |- The departure day of Paris is Day 15. The arrival day of Santorini is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Milan, Riga, Bucharest, Paris].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Venice] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Paris to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Paris to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Bucharest to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Santorini (Day 19 - 20).\n         |- The departure day of Dublin is Day 15. The arrival day of Santorini is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Milan, Riga, Bucharest, Dublin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Venice] and explore these options in order.\n           |- Try arranging to visit Paris from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Dublin to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 19 - 20).\n           |- The departure day of Paris is Day 17. The arrival day of Santorini is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Paris].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n             |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Paris to Venice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Dublin to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 19 - 20).\n           |- The departure day of Venice is Day 19. The arrival day of Santorini is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Venice].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Venice to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Naples (Day 20 - 23).\n             |- The departure day of Santorini is Day 20. The arrival day of Naples is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Venice, Santorini].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Naples.\n               |- Try arranging to visit Naples from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Santorini to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Florence (Day 25 - 29).\n               |- The departure day of Naples is Day 23. The arrival day of Florence is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Venice, Santorini, Naples].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n                 |- Try arranging to visit Paris from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Naples to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Florence (Day 25 - 29).\n                 |- The departure day of Paris is Day 25. The arrival day of Florence is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Venice, Santorini, Naples, Paris].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Paris to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Porto, Milan, Riga, Bucharest, Dublin, Venice, Santorini, Naples, Paris, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Milan.\n**Day 2-5:** Visit Milan for 4 days.\n**Day 5:** Fly from Milan to Riga.\n**Day 5-9:** Visit Riga for 5 days.\n**Day 9:** Fly from Riga to Bucharest.\n**Day 9-13:** Visit Bucharest for 5 days.\n**Day 13:** Fly from Bucharest to Dublin.\n**Day 13-15:** Visit Dublin for 3 days.\n**Day 15:** Fly from Dublin to Venice.\n**Day 15-19:** Visit Venice for 5 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Naples.\n**Day 20-23:** Visit Naples for 4 days.\n**Day 23:** Fly from Naples to Paris.\n**Day 23-25:** Visit Paris for 3 days.\n**Day 25:** Fly from Paris to Florence.\n**Day 25-29:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Dublin**Porto**Berlin**Budapest**Mykonos**Naples**Paris**Krakow**Vilnius",
    "ground_truth_durations": "4**4**5**2**5**2**4**4**5**3",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Paris"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Lyon",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You plan to stay in Naples for 4 days. You plan to stay in Vilnius for 3 days. You want to spend 4 days in Dublin. You want to meet a friend in Dublin between day 4 and day 7. You plan to stay in Paris for 4 days. You would like to visit Porto for 5 days. You want to spend 5 days in Krakow. You would like to visit Budapest for 5 days. You would like to meet your friends at Budapest between day 12 and day 16 to tour together. You would like to visit Berlin for 2 days. You plan to visit relatives in Berlin between day 11 and day 12. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nBudapest and Paris, Lyon and Porto, Berlin and Krakow, Berlin and Naples, Budapest and Naples, Dublin and Budapest, Berlin and Budapest, Dublin and Paris, from Krakow to Vilnius, Budapest and Mykonos, Berlin and Paris, Dublin and Porto, Dublin and Berlin, Naples and Paris, Berlin and Vilnius, Porto and Berlin, Dublin and Naples, Dublin and Krakow, Porto and Paris, Paris and Vilnius, Lyon and Dublin, Paris and Krakow, Mykonos and Naples, Lyon and Paris.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You plan to stay in Naples for 4 days. You plan to stay in Vilnius for 3 days. You want to spend 4 days in Dublin. You want to meet a friend in Dublin between day 4 and day 7. You plan to stay in Paris for 4 days. You would like to visit Porto for 5 days. You want to spend 5 days in Krakow. You would like to visit Budapest for 5 days. You would like to meet your friends at Budapest between day 12 and day 16 to tour together. You would like to visit Berlin for 2 days. You plan to visit relatives in Berlin between day 11 and day 12. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Paris, from Lyon to Porto, from Berlin to Krakow, from Berlin to Naples, from Budapest to Naples, from Dublin to Budapest, from Berlin to Budapest, from Dublin to Paris, from Krakow to Vilnius, from Budapest to Mykonos, from Berlin to Paris, from Dublin to Porto, from Dublin to Berlin, from Naples to Paris, from Berlin to Vilnius, from Porto to Berlin, from Dublin to Naples, from Dublin to Krakow, from Porto to Paris, from Paris to Vilnius, from Lyon to Dublin, from Paris to Krakow, from Mykonos to Naples, from Lyon to Paris.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Berlin.\n**Day 11-12:** Visit Berlin for 2 days.\n**Day 12:** Fly from Berlin to Budapest.\n**Day 12-16:** Visit Budapest for 5 days.\n**Day 16:** Fly from Budapest to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.\n**Day 17:** Fly from Mykonos to Naples.\n**Day 17-20:** Visit Naples for 4 days.\n**Day 20:** Fly from Naples to Paris.\n**Day 20-23:** Visit Paris for 4 days.\n**Day 23:** Fly from Paris to Krakow.\n**Day 23-27:** Visit Krakow for 5 days.\n**Day 27:** Fly from Krakow to Vilnius.\n**Day 27-29:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1422",
    "estimated_output_tokens": 6546,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 4 - 7.\n* City: Berlin, Fixed Schedule: Day 11 - 12.\n* City: Budapest, Fixed Schedule: Day 12 - 16.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Porto, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Naples, Vilnius, Paris, Porto, Krakow, Mykonos] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 4 - 7).\n |- The departure day of Lyon is Day 4. The arrival day of Dublin is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dublin.\n   |- Try arranging to visit Dublin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 11 - 12).\n   |- The departure day of Dublin is Day 7. The arrival day of Berlin is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Dublin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Paris, Porto, Krakow, Mykonos] and explore these options in order.\n     |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dublin to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Naples is Day 10. The arrival day of Berlin is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Dublin, Naples].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris, Porto, Krakow, Mykonos] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Naples to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Naples to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 12).\n       |- The departure day of Paris is Day 13. The arrival day of Berlin is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Naples to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Naples to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Naples to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Dublin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dublin to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Paris is Day 10. The arrival day of Berlin is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Dublin, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Porto, Krakow, Mykonos] and explore these options in order.\n       |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Paris to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 12).\n       |- The departure day of Vilnius is Day 12. The arrival day of Berlin is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Porto from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Paris to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Paris to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 12).\n       |- The departure day of Krakow is Day 14. The arrival day of Berlin is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Paris to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dublin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 11 - 12).\n     |- The departure day of Porto is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lyon, Dublin, Porto].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Porto to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 12 - 16).\n       |- The departure day of Berlin is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Dublin, Porto, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Berlin to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Paris, Krakow, Mykonos] and explore these options in order.\n           |- Try arranging to visit Naples from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Budapest to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Naples].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris, Krakow, Mykonos] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Naples to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Paris from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Naples to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Naples, Paris].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow, Mykonos] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Paris to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Naples, Paris, Vilnius].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Krakow, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Krakow from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Vilnius to Krakow.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Mykonos from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Vilnius to Mykonos.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Krakow from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Paris to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Naples, Paris, Krakow].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                 |- Check for direct flight from Krakow to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Naples, Paris, Krakow, Vilnius].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                   |- Check for direct flight from Vilnius to Mykonos.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 28 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Mykonos from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                 |- Check for direct flight from Krakow to Mykonos.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Paris to Mykonos.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Naples to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Naples to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Budapest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Budapest to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Paris].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Krakow, Mykonos] and explore these options in order.\n             |- Try arranging to visit Naples from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Paris to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Paris to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Paris, Vilnius].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, Krakow, Mykonos] and explore these options in order.\n               |- Try arranging to visit Naples from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Vilnius to Naples.\n               |- No. Drop this branch.\n               |- Try arranging to visit Krakow from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Vilnius to Krakow.\n               |- No. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Vilnius to Mykonos.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Paris to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Paris, Krakow].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Mykonos] and explore these options in order.\n               |- Try arranging to visit Naples from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Krakow to Naples.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Krakow to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Paris, Krakow, Vilnius].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Vilnius to Naples.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Mykonos from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                 |- Check for direct flight from Vilnius to Mykonos.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Krakow to Mykonos.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Paris to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Budapest to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Budapest to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Vilnius, Paris, Krakow] and explore these options in order.\n             |- Try arranging to visit Naples from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Mykonos to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos, Naples].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris, Krakow] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Naples to Vilnius.\n               |- No. Drop this branch.\n               |- Try arranging to visit Paris from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Naples to Paris.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos, Naples, Paris].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius, Krakow] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Paris to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos, Naples, Paris, Vilnius].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n                   |- Try arranging to visit Krakow from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Vilnius to Krakow.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Krakow from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Paris to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos, Naples, Paris, Krakow].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                   |- Check for direct flight from Krakow to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Lyon, Dublin, Porto, Berlin, Budapest, Mykonos, Naples, Paris, Krakow, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Dublin.\n**Day 4-7:** Visit Dublin for 4 days.\n**Day 7:** Fly from Dublin to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Berlin.\n**Day 11-12:** Visit Berlin for 2 days.\n**Day 12:** Fly from Berlin to Budapest.\n**Day 12-16:** Visit Budapest for 5 days.\n**Day 16:** Fly from Budapest to Mykonos.\n**Day 16-17:** Visit Mykonos for 2 days.\n**Day 17:** Fly from Mykonos to Naples.\n**Day 17-20:** Visit Naples for 4 days.\n**Day 20:** Fly from Naples to Paris.\n**Day 20-23:** Visit Paris for 4 days.\n**Day 23:** Fly from Paris to Krakow.\n**Day 23-27:** Visit Krakow for 5 days.\n**Day 27:** Fly from Krakow to Vilnius.\n**Day 27-29:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Helsinki**London**Florence**Barcelona**Dubrovnik**Rome**Stuttgart**Milan**Oslo",
    "ground_truth_durations": "3**4**5**5**3**4**5**2**2**3",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 25,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Dubrovnik"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Helsinki",
        "London"
      ],
      [
        "Dublin",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Oslo"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Barcelona",
        "Rome"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Milan",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You would like to visit Rome for 5 days. You want to spend 4 days in Dubrovnik. During day 16 and day 19, you have to attend a conference in Dubrovnik. You want to spend 3 days in Oslo. You are going to attend a wedding in Oslo between day 25 and day 27. You would like to visit Dublin for 3 days. You want to spend 4 days in Helsinki. You would like to meet your friends at Helsinki between day 3 and day 6 to tour together. You want to spend 5 days in London. You would like to visit Stuttgart for 2 days. From day 23 to day 24, there is a annual show you want to attend in Stuttgart. You would like to visit Florence for 5 days. You would like to visit Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nDubrovnik and Oslo, Rome and Stuttgart, Dublin and Dubrovnik, Dublin and London, Barcelona and Milan, Barcelona and Dubrovnik, Helsinki and Rome, Helsinki and London, Dublin and Barcelona, Barcelona and Stuttgart, Dublin and Oslo, London and Stuttgart, Stuttgart and Milan, London and Rome, London and Oslo, London and Florence, Helsinki and Oslo, London and Barcelona, Helsinki and Milan, Rome and Oslo, Dublin and Rome, Barcelona and Rome, Helsinki and Barcelona, Dublin and Helsinki, London and Milan, Milan and Oslo, Dubrovnik and Rome, Dublin and Milan, Barcelona and Oslo, Florence and Barcelona, Helsinki and Dubrovnik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Milan for 2 days. You would like to visit Rome for 5 days. You want to spend 4 days in Dubrovnik. During day 16 and day 19, you have to attend a conference in Dubrovnik. You want to spend 3 days in Oslo. You are going to attend a wedding in Oslo between day 25 and day 27. You would like to visit Dublin for 3 days. You want to spend 4 days in Helsinki. You would like to meet your friends at Helsinki between day 3 and day 6 to tour together. You want to spend 5 days in London. You would like to visit Stuttgart for 2 days. From day 23 to day 24, there is a annual show you want to attend in Stuttgart. You would like to visit Florence for 5 days. You would like to visit Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dubrovnik to Oslo, from Rome to Stuttgart, from Dublin to Dubrovnik, from Dublin to London, from Barcelona to Milan, from Barcelona to Dubrovnik, from Helsinki to Rome, from Helsinki to London, from Dublin to Barcelona, from Barcelona to Stuttgart, from Dublin to Oslo, from London to Stuttgart, from Stuttgart to Milan, from London to Rome, from London to Oslo, from London to Florence, from Helsinki to Oslo, from London to Barcelona, from Helsinki to Milan, from Rome to Oslo, from Dublin to Rome, from Barcelona to Rome, from Helsinki to Barcelona, from Dublin to Helsinki, from London to Milan, from Milan to Oslo, from Dubrovnik to Rome, from Dublin to Milan, from Barcelona to Oslo, from Florence to Barcelona, from Helsinki to Dubrovnik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Helsinki.\n**Day 3-6:** Visit Helsinki for 4 days.\n**Day 6:** Fly from Helsinki to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-14:** Visit Florence for 5 days.\n**Day 14:** Fly from Florence to Barcelona.\n**Day 14-16:** Visit Barcelona for 3 days.\n**Day 16:** Fly from Barcelona to Dubrovnik.\n**Day 16-19:** Visit Dubrovnik for 4 days.\n**Day 19:** Fly from Dubrovnik to Rome.\n**Day 19-23:** Visit Rome for 5 days.\n**Day 23:** Fly from Rome to Stuttgart.\n**Day 23-24:** Visit Stuttgart for 2 days.\n**Day 24:** Fly from Stuttgart to Milan.\n**Day 24-25:** Visit Milan for 2 days.\n**Day 25:** Fly from Milan to Oslo.\n**Day 25-27:** Visit Oslo for 3 days.",
    "id": "trip_planning_example_1423",
    "estimated_output_tokens": 4757,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 25 - 27.\n* City: Dublin, Duration: 3 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: London, Duration: 5 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Florence, Duration: 5 days.\n* City: Barcelona, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 3 - 6.\n* City: Dubrovnik, Fixed Schedule: Day 16 - 19.\n* City: Stuttgart, Fixed Schedule: Day 23 - 24.\n* City: Oslo, Fixed Schedule: Day 25 - 27.\n\nCities needing arrangement:\n* City: Milan, Duration: 2 days.\n* City: Rome, Duration: 5 days.\n* City: Dublin, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Rome, Dublin, London, Florence, Barcelona] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 6).\n |- The departure day of Milan is Day 2. The arrival day of Helsinki is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Dublin, London, Florence, Barcelona] and explore these options in order.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 6).\n |- The departure day of Rome is Day 5. The arrival day of Helsinki is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 3 - 6).\n |- The departure day of Dublin is Day 3. The arrival day of Helsinki is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Helsinki.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dublin to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 16 - 19).\n   |- The departure day of Helsinki is Day 6. The arrival day of Dubrovnik is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dublin, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Rome, London, Florence, Barcelona] and explore these options in order.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Helsinki to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 16 - 19).\n     |- The departure day of Milan is Day 7. The arrival day of Dubrovnik is Day 16. Day 7 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Helsinki, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, London, Florence, Barcelona] and explore these options in order.\n       |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 16 - 19).\n     |- The departure day of Rome is Day 10. The arrival day of Dubrovnik is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Helsinki, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, London, Florence, Barcelona] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Rome to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Rome to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 16 - 19).\n     |- The departure day of London is Day 10. The arrival day of Dubrovnik is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Dublin, Helsinki, London].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Rome, Florence, Barcelona] and explore these options in order.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from London to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 16 - 19).\n       |- The departure day of Milan is Day 11. The arrival day of Dubrovnik is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dublin, Helsinki, London, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Florence, Barcelona] and explore these options in order.\n         |- Try arranging to visit Rome from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Milan to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Milan to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Milan to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from London to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 16 - 19).\n       |- The departure day of Rome is Day 14. The arrival day of Dubrovnik is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dublin, Helsinki, London, Rome].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Florence, Barcelona] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Rome to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Rome to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Rome to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from London to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 16 - 19).\n       |- The departure day of Florence is Day 14. The arrival day of Dubrovnik is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Dublin, Helsinki, London, Florence].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Rome, Barcelona] and explore these options in order.\n         |- Try arranging to visit Milan from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Florence to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Rome from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Florence to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Florence to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 16 - 19).\n         |- The departure day of Barcelona is Day 16. The arrival day of Dubrovnik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Dublin, Helsinki, London, Florence, Barcelona].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Barcelona to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 23 - 24).\n           |- The departure day of Dubrovnik is Day 19. The arrival day of Stuttgart is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Dublin, Helsinki, London, Florence, Barcelona, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Rome] and explore these options in order.\n             |- Try arranging to visit Milan from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Dubrovnik to Milan.\n             |- No. Drop this branch.\n             |- Try arranging to visit Rome from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Dubrovnik to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 23 - 24).\n             |- The departure day of Rome is Day 23. The arrival day of Stuttgart is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Dublin, Helsinki, London, Florence, Barcelona, Dubrovnik, Rome].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Rome to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Oslo (Day 25 - 27).\n               |- The departure day of Stuttgart is Day 24. The arrival day of Oslo is Day 25. Day 24 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Dublin, Helsinki, London, Florence, Barcelona, Dubrovnik, Rome, Stuttgart].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n                 |- Try arranging to visit Milan from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Stuttgart to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Oslo (Day 25 - 27).\n                 |- The departure day of Milan is Day 25. The arrival day of Oslo is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Dublin, Helsinki, London, Florence, Barcelona, Dubrovnik, Rome, Stuttgart, Milan].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Oslo.\n                   |- Try arranging to visit Oslo from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                   |- Check for direct flight from Milan to Oslo.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Dublin, Helsinki, London, Florence, Barcelona, Dubrovnik, Rome, Stuttgart, Milan, Oslo].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Dublin and visit Dublin for 3 days.\n**Day 3:** Fly from Dublin to Helsinki.\n**Day 3-6:** Visit Helsinki for 4 days.\n**Day 6:** Fly from Helsinki to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Florence.\n**Day 10-14:** Visit Florence for 5 days.\n**Day 14:** Fly from Florence to Barcelona.\n**Day 14-16:** Visit Barcelona for 3 days.\n**Day 16:** Fly from Barcelona to Dubrovnik.\n**Day 16-19:** Visit Dubrovnik for 4 days.\n**Day 19:** Fly from Dubrovnik to Rome.\n**Day 19-23:** Visit Rome for 5 days.\n**Day 23:** Fly from Rome to Stuttgart.\n**Day 23-24:** Visit Stuttgart for 2 days.\n**Day 24:** Fly from Stuttgart to Milan.\n**Day 24-25:** Visit Milan for 2 days.\n**Day 25:** Fly from Milan to Oslo.\n**Day 25-27:** Visit Oslo for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Amsterdam**Helsinki**Reykjavik**Warsaw**Naples**Brussels**Valencia**Lyon**Split",
    "ground_truth_durations": "5**4**4**5**3**4**3**2**3**3",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Warsaw",
        "Brussels"
      ],
      [
        "Warsaw",
        "Naples"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Naples",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 3 days. You plan to stay in Porto for 5 days. You have to attend a workshop in Porto between day 1 and day 5. You plan to stay in Naples for 4 days. During day 17 and day 20, you have to attend a conference in Naples. You plan to stay in Brussels for 3 days. From day 20 to day 22, there is a annual show you want to attend in Brussels. You would like to visit Split for 3 days. You plan to stay in Reykjavik for 5 days. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 5 and day 8. You want to spend 3 days in Lyon. You plan to stay in Helsinki for 4 days. You are going to attend a wedding in Helsinki between day 8 and day 11. You plan to stay in Valencia for 2 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Warsaw, Helsinki and Brussels, Helsinki and Warsaw, Reykjavik and Brussels, Amsterdam and Lyon, Amsterdam and Naples, Amsterdam and Reykjavik, Naples and Valencia, Porto and Brussels, Amsterdam and Split, Lyon and Split, Warsaw and Split, Porto and Amsterdam, Helsinki and Split, Brussels and Lyon, Porto and Lyon, Reykjavik and Warsaw, Brussels and Valencia, Valencia and Lyon, Porto and Warsaw, Warsaw and Valencia, Amsterdam and Helsinki, Porto and Valencia, Warsaw and Brussels, Warsaw and Naples, Naples and Split, Helsinki and Naples, Helsinki and Reykjavik, Amsterdam and Valencia, Naples and Brussels.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 3 days. You plan to stay in Porto for 5 days. You have to attend a workshop in Porto between day 1 and day 5. You plan to stay in Naples for 4 days. During day 17 and day 20, you have to attend a conference in Naples. You plan to stay in Brussels for 3 days. From day 20 to day 22, there is a annual show you want to attend in Brussels. You would like to visit Split for 3 days. You plan to stay in Reykjavik for 5 days. You want to spend 4 days in Amsterdam. You plan to visit relatives in Amsterdam between day 5 and day 8. You want to spend 3 days in Lyon. You plan to stay in Helsinki for 4 days. You are going to attend a wedding in Helsinki between day 8 and day 11. You plan to stay in Valencia for 2 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Warsaw, from Helsinki to Brussels, from Helsinki to Warsaw, from Reykjavik to Brussels, from Amsterdam to Lyon, from Amsterdam to Naples, from Amsterdam to Reykjavik, from Naples to Valencia, from Porto to Brussels, from Amsterdam to Split, from Lyon to Split, from Warsaw to Split, from Porto to Amsterdam, from Helsinki to Split, from Brussels to Lyon, from Porto to Lyon, from Reykjavik to Warsaw, from Brussels to Valencia, from Valencia to Lyon, from Porto to Warsaw, from Warsaw to Valencia, from Amsterdam to Helsinki, from Porto to Valencia, from Warsaw to Brussels, from Warsaw to Naples, from Naples to Split, from Helsinki to Naples, from Helsinki to Reykjavik, from Amsterdam to Valencia, from Naples to Brussels.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Naples.\n**Day 17-20:** Visit Naples for 4 days.\n**Day 20:** Fly from Naples to Brussels.\n**Day 20-22:** Visit Brussels for 3 days.\n**Day 22:** Fly from Brussels to Valencia.\n**Day 22-23:** Visit Valencia for 2 days.\n**Day 23:** Fly from Valencia to Lyon.\n**Day 23-25:** Visit Lyon for 3 days.\n**Day 25:** Fly from Lyon to Split.\n**Day 25-27:** Visit Split for 3 days.",
    "id": "trip_planning_example_1424",
    "estimated_output_tokens": 4791,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Split, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Lyon, Duration: 3 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 5 - 8.\n* City: Helsinki, Fixed Schedule: Day 8 - 11.\n* City: Naples, Fixed Schedule: Day 17 - 20.\n* City: Brussels, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Split, Duration: 3 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Porto.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 8).\n |- The departure day of Porto is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Porto to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 8. The arrival day of Helsinki is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Porto, Amsterdam].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Amsterdam to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 17 - 20).\n     |- The departure day of Helsinki is Day 11. The arrival day of Naples is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Amsterdam, Helsinki].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Reykjavik, Lyon, Valencia] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 17 - 20).\n       |- The departure day of Warsaw is Day 13. The arrival day of Naples is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Amsterdam, Helsinki, Warsaw].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik, Lyon, Valencia] and explore these options in order.\n         |- Try arranging to visit Split from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Warsaw to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Naples (Day 17 - 20).\n         |- The departure day of Split is Day 15. The arrival day of Naples is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Porto, Amsterdam, Helsinki, Warsaw, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Lyon, Valencia] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Split to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Split to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Warsaw to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Warsaw to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Warsaw to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Naples (Day 17 - 20).\n         |- The departure day of Valencia is Day 14. The arrival day of Naples is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Amsterdam, Helsinki, Warsaw, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik, Lyon] and explore these options in order.\n           |- Try arranging to visit Split from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Naples (Day 17 - 20).\n           |- The departure day of Lyon is Day 16. The arrival day of Naples is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Porto, Amsterdam, Helsinki, Warsaw, Valencia, Lyon].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Lyon to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 17 - 20).\n             |- The departure day of Split is Day 18. The arrival day of Naples is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Lyon to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 17 - 20).\n       |- The departure day of Split is Day 13. The arrival day of Naples is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Amsterdam, Helsinki, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Reykjavik, Lyon, Valencia] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Split to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Split to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Helsinki to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Naples (Day 17 - 20).\n       |- The departure day of Reykjavik is Day 15. The arrival day of Naples is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Lyon, Valencia] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Naples (Day 17 - 20).\n         |- The departure day of Warsaw is Day 17. The arrival day of Naples is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Warsaw to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Brussels (Day 20 - 22).\n           |- The departure day of Naples is Day 20. The arrival day of Brussels is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Brussels.\n             |- Try arranging to visit Brussels from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Naples to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Lyon, Valencia] and explore these options in order.\n               |- Try arranging to visit Split from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Brussels to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Brussels to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels, Lyon].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split, Valencia] and explore these options in order.\n                 |- Try arranging to visit Split from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Lyon to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels, Lyon, Split].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                   |- Try arranging to visit Valencia from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Split to Valencia.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Valencia from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Lyon to Valencia.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Valencia from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Brussels to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels, Valencia].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split, Lyon] and explore these options in order.\n                 |- Try arranging to visit Split from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Valencia to Split.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Lyon from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Valencia to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels, Valencia, Lyon].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                   |- Check for direct flight from Lyon to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Porto, Amsterdam, Helsinki, Reykjavik, Warsaw, Naples, Brussels, Valencia, Lyon, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Helsinki.\n**Day 8-11:** Visit Helsinki for 4 days.\n**Day 11:** Fly from Helsinki to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-17:** Visit Warsaw for 3 days.\n**Day 17:** Fly from Warsaw to Naples.\n**Day 17-20:** Visit Naples for 4 days.\n**Day 20:** Fly from Naples to Brussels.\n**Day 20-22:** Visit Brussels for 3 days.\n**Day 22:** Fly from Brussels to Valencia.\n**Day 22-23:** Visit Valencia for 2 days.\n**Day 23:** Fly from Valencia to Lyon.\n**Day 23-25:** Visit Lyon for 3 days.\n**Day 25:** Fly from Lyon to Split.\n**Day 25-27:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Berlin**Porto**Nice**Manchester**Santorini**Geneva**Dubrovnik**Frankfurt**Florence",
    "ground_truth_durations": "2**3**3**2**4**3**3**5**5**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Berlin",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. You want to meet a friend in Athens between day 1 and day 2. You plan to stay in Nice for 2 days. You are going to attend a wedding in Nice between day 6 and day 7. You plan to stay in Dubrovnik for 5 days. You would like to visit Porto for 3 days. You would like to visit Geneva for 3 days. You would like to visit Berlin for 3 days. You plan to stay in Florence for 3 days. From day 22 to day 24, there is a annual show you want to attend in Florence. You want to spend 3 days in Santorini. You plan to stay in Frankfurt for 5 days. You want to spend 4 days in Manchester. You would like to meet your friends at Manchester between day 7 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nPorto and Frankfurt, Nice and Manchester, Berlin and Manchester, Athens and Nice, Berlin and Nice, Frankfurt and Florence, Dubrovnik and Frankfurt, Manchester and Santorini, Athens and Manchester, Manchester and Dubrovnik, Geneva and Dubrovnik, Manchester and Frankfurt, Athens and Frankfurt, Nice and Geneva, Athens and Santorini, Porto and Nice, Berlin and Porto, Nice and Frankfurt, Geneva and Frankfurt, Athens and Berlin, Porto and Manchester, Manchester and Geneva, Santorini and Geneva, Athens and Geneva, Berlin and Frankfurt, Athens and Dubrovnik, Porto and Geneva, Berlin and Geneva.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. You want to meet a friend in Athens between day 1 and day 2. You plan to stay in Nice for 2 days. You are going to attend a wedding in Nice between day 6 and day 7. You plan to stay in Dubrovnik for 5 days. You would like to visit Porto for 3 days. You would like to visit Geneva for 3 days. You would like to visit Berlin for 3 days. You plan to stay in Florence for 3 days. From day 22 to day 24, there is a annual show you want to attend in Florence. You want to spend 3 days in Santorini. You plan to stay in Frankfurt for 5 days. You want to spend 4 days in Manchester. You would like to meet your friends at Manchester between day 7 and day 10 to tour together.\n\nHere are the cities that have direct flights:\nfrom Porto to Frankfurt, from Nice to Manchester, from Berlin to Manchester, from Athens to Nice, from Berlin to Nice, from Frankfurt to Florence, from Dubrovnik to Frankfurt, from Manchester to Santorini, from Athens to Manchester, from Manchester to Dubrovnik, from Geneva to Dubrovnik, from Manchester to Frankfurt, from Athens to Frankfurt, from Nice to Geneva, from Athens to Santorini, from Porto to Nice, from Berlin to Porto, from Nice to Frankfurt, from Geneva to Frankfurt, from Athens to Berlin, from Porto to Manchester, from Manchester to Geneva, from Santorini to Geneva, from Athens to Geneva, from Berlin to Frankfurt, from Athens to Dubrovnik, from Porto to Geneva, from Berlin to Geneva.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.\n**Day 18:** Fly from Dubrovnik to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Florence.\n**Day 22-24:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1425",
    "estimated_output_tokens": 5359,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Dubrovnik, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Santorini, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 1 - 2.\n* City: Nice, Fixed Schedule: Day 6 - 7.\n* City: Manchester, Fixed Schedule: Day 7 - 10.\n* City: Florence, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Geneva, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Athens.\n |- Try arranging to visit Athens from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 6 - 7).\n |- The departure day of Athens is Day 2. The arrival day of Nice is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Geneva, Berlin, Santorini, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Athens to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 6 - 7).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dubrovnik to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Athens to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Athens to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 6 - 7).\n   |- The departure day of Geneva is Day 4. The arrival day of Nice is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Athens, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Berlin, Santorini, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 6 - 7).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Nice is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 6 - 7).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Nice is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Athens to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 6 - 7).\n   |- The departure day of Berlin is Day 4. The arrival day of Nice is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Athens, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Porto, Geneva, Santorini, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Berlin to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Berlin to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 6 - 7).\n     |- The departure day of Porto is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Athens, Berlin, Porto].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Porto to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 7 - 10).\n       |- The departure day of Nice is Day 7. The arrival day of Manchester is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Athens, Berlin, Porto, Nice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Nice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Florence (Day 22 - 24).\n         |- The departure day of Manchester is Day 10. The arrival day of Florence is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Athens, Berlin, Porto, Nice, Manchester].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Santorini, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Manchester to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 22 - 24).\n           |- The departure day of Dubrovnik is Day 14. The arrival day of Florence is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Dubrovnik to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Dubrovnik to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Dubrovnik to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 22 - 24).\n             |- The departure day of Frankfurt is Day 18. The arrival day of Florence is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Dubrovnik, Frankfurt].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Frankfurt to Geneva.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Frankfurt to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Manchester to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 22 - 24).\n           |- The departure day of Geneva is Day 12. The arrival day of Florence is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Geneva].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Geneva to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 22 - 24).\n             |- The departure day of Dubrovnik is Day 16. The arrival day of Florence is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Geneva, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Dubrovnik to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Frankfurt from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Dubrovnik to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 22 - 24).\n               |- The departure day of Frankfurt is Day 20. The arrival day of Florence is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Geneva, Dubrovnik, Frankfurt].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Frankfurt to Santorini.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Geneva to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Geneva to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 22 - 24).\n             |- The departure day of Frankfurt is Day 16. The arrival day of Florence is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Geneva, Frankfurt].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Frankfurt to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Frankfurt to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Manchester to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 22 - 24).\n           |- The departure day of Santorini is Day 12. The arrival day of Florence is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Santorini].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Santorini to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Santorini to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 22 - 24).\n             |- The departure day of Geneva is Day 14. The arrival day of Florence is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Santorini, Geneva].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Geneva to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 22 - 24).\n               |- The departure day of Dubrovnik is Day 18. The arrival day of Florence is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Santorini, Geneva, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n                 |- Try arranging to visit Frankfurt from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Dubrovnik to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Florence (Day 22 - 24).\n                 |- The departure day of Frankfurt is Day 22. The arrival day of Florence is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Santorini, Geneva, Dubrovnik, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Frankfurt to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Athens, Berlin, Porto, Nice, Manchester, Santorini, Geneva, Dubrovnik, Frankfurt, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Athens and visit Athens for 2 days.\n**Day 2:** Fly from Athens to Berlin.\n**Day 2-4:** Visit Berlin for 3 days.\n**Day 4:** Fly from Berlin to Porto.\n**Day 4-6:** Visit Porto for 3 days.\n**Day 6:** Fly from Porto to Nice.\n**Day 6-7:** Visit Nice for 2 days.\n**Day 7:** Fly from Nice to Manchester.\n**Day 7-10:** Visit Manchester for 4 days.\n**Day 10:** Fly from Manchester to Santorini.\n**Day 10-12:** Visit Santorini for 3 days.\n**Day 12:** Fly from Santorini to Geneva.\n**Day 12-14:** Visit Geneva for 3 days.\n**Day 14:** Fly from Geneva to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.\n**Day 18:** Fly from Dubrovnik to Frankfurt.\n**Day 18-22:** Visit Frankfurt for 5 days.\n**Day 22:** Fly from Frankfurt to Florence.\n**Day 22-24:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Paris**Stockholm**Oslo**Venice**Naples**Brussels**Florence**Vienna**Dubrovnik",
    "ground_truth_durations": "5**2**5**5**5**4**5**5**4**5",
    "num_cities": 10,
    "total_days": 36,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Florence"
      ],
      [
        "Oslo",
        "Brussels"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Oslo"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Oslo",
        "Naples"
      ],
      [
        "Oslo",
        "Vienna"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Naples",
        "Vienna"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Florence"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 36 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. During day 14 and day 18, you have to attend a conference in Venice. You want to spend 5 days in Oslo. You would like to visit Naples for 4 days. You plan to stay in Stockholm for 5 days. You want to spend 5 days in Dubrovnik. You plan to stay in Brussels for 5 days. You would like to visit Florence for 5 days. You would like to meet your friends at Florence between day 25 and day 29 to tour together. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 5 and day 6. You want to spend 5 days in Split. You plan to visit relatives in Split between day 1 and day 5. You want to spend 4 days in Vienna.\n\nHere are the cities that have direct flights:\nParis and Florence, Oslo and Brussels, Stockholm and Brussels, Venice and Naples, Brussels and Vienna, Paris and Vienna, Stockholm and Vienna, Paris and Oslo, Naples and Brussels, Split and Stockholm, Paris and Brussels, Vienna and Dubrovnik, Paris and Naples, Split and Naples, Oslo and Dubrovnik, Stockholm and Oslo, Naples and Dubrovnik, Venice and Vienna, Split and Paris, Paris and Venice, Oslo and Venice, Venice and Brussels, Florence and Vienna, Oslo and Naples, Oslo and Vienna, Split and Vienna, Paris and Stockholm, Split and Oslo, Naples and Vienna, Stockholm and Dubrovnik, Brussels and Florence.\n\nFind a trip plan of visiting the cities for 36 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 36 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. During day 14 and day 18, you have to attend a conference in Venice. You want to spend 5 days in Oslo. You would like to visit Naples for 4 days. You plan to stay in Stockholm for 5 days. You want to spend 5 days in Dubrovnik. You plan to stay in Brussels for 5 days. You would like to visit Florence for 5 days. You would like to meet your friends at Florence between day 25 and day 29 to tour together. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 5 and day 6. You want to spend 5 days in Split. You plan to visit relatives in Split between day 1 and day 5. You want to spend 4 days in Vienna.\n\nHere are the cities that have direct flights:\nfrom Paris to Florence, from Oslo to Brussels, from Stockholm to Brussels, from Venice to Naples, from Brussels to Vienna, from Paris to Vienna, from Stockholm to Vienna, from Paris to Oslo, from Naples to Brussels, from Split to Stockholm, from Paris to Brussels, from Vienna to Dubrovnik, from Paris to Naples, from Split to Naples, from Oslo to Dubrovnik, from Stockholm to Oslo, from Naples to Dubrovnik, from Venice to Vienna, from Split to Paris, from Paris to Venice, from Oslo to Venice, from Venice to Brussels, from Florence to Vienna, from Oslo to Naples, from Oslo to Vienna, from Split to Vienna, from Paris to Stockholm, from Split to Oslo, from Naples to Vienna, from Stockholm to Dubrovnik, from Brussels to Florence.\n\nFind a trip plan of visiting the cities for 36 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 36 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Venice.\n**Day 14-18:** Visit Venice for 5 days.\n**Day 18:** Fly from Venice to Naples.\n**Day 18-21:** Visit Naples for 4 days.\n**Day 21:** Fly from Naples to Brussels.\n**Day 21-25:** Visit Brussels for 5 days.\n**Day 25:** Fly from Brussels to Florence.\n**Day 25-29:** Visit Florence for 5 days.\n**Day 29:** Fly from Florence to Vienna.\n**Day 29-32:** Visit Vienna for 4 days.\n**Day 32:** Fly from Vienna to Dubrovnik.\n**Day 32-36:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1426",
    "estimated_output_tokens": 6293,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Oslo, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 6.\n* City: Venice, Fixed Schedule: Day 14 - 18.\n* City: Florence, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Oslo, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 6).\n |- The departure day of Split is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Split to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 14 - 18).\n   |- The departure day of Paris is Day 6. The arrival day of Venice is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Stockholm, Dubrovnik, Brussels, Vienna] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 14 - 18).\n     |- The departure day of Oslo is Day 10. The arrival day of Venice is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Paris, Oslo].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Stockholm, Dubrovnik, Brussels, Vienna] and explore these options in order.\n       |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Oslo to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 18).\n       |- The departure day of Naples is Day 13. The arrival day of Venice is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Paris, Oslo, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Brussels, Vienna] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 14 - 18).\n         |- The departure day of Dubrovnik is Day 17. The arrival day of Venice is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Brussels from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 14 - 18).\n         |- The departure day of Brussels is Day 17. The arrival day of Venice is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vienna from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Naples to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 14 - 18).\n         |- The departure day of Vienna is Day 16. The arrival day of Venice is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Oslo to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Oslo to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 18).\n       |- The departure day of Dubrovnik is Day 14. The arrival day of Venice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Paris, Oslo, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Dubrovnik to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Oslo to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 18).\n       |- The departure day of Brussels is Day 14. The arrival day of Venice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Paris, Oslo, Brussels].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Brussels to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Oslo to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 18).\n       |- The departure day of Vienna is Day 13. The arrival day of Venice is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Paris, Oslo, Vienna].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Stockholm, Dubrovnik, Brussels] and explore these options in order.\n         |- Try arranging to visit Naples from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Vienna to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 14 - 18).\n         |- The departure day of Dubrovnik is Day 17. The arrival day of Venice is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Brussels from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vienna to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 14 - 18).\n     |- The departure day of Naples is Day 9. The arrival day of Venice is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Paris, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Dubrovnik, Brussels, Vienna] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 14 - 18).\n       |- The departure day of Dubrovnik is Day 13. The arrival day of Venice is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Paris, Naples, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Brussels, Vienna] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Dubrovnik to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Dubrovnik to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Dubrovnik to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Dubrovnik to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 14 - 18).\n       |- The departure day of Brussels is Day 13. The arrival day of Venice is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Paris, Naples, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Dubrovnik, Vienna] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Brussels to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 14 - 18).\n         |- The departure day of Vienna is Day 16. The arrival day of Venice is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Naples to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 14 - 18).\n       |- The departure day of Vienna is Day 12. The arrival day of Venice is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Split, Paris, Naples, Vienna].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Stockholm, Dubrovnik, Brussels] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 14 - 18).\n         |- The departure day of Dubrovnik is Day 16. The arrival day of Venice is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Brussels from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Vienna to Brussels.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 14 - 18).\n     |- The departure day of Stockholm is Day 10. The arrival day of Venice is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Paris, Stockholm].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, Dubrovnik, Brussels, Vienna] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stockholm to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 14 - 18).\n       |- The departure day of Oslo is Day 14. The arrival day of Venice is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Split, Paris, Stockholm, Oslo].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Oslo to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 25 - 29).\n         |- The departure day of Venice is Day 18. The arrival day of Florence is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Split, Paris, Stockholm, Oslo, Venice].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik, Brussels, Vienna] and explore these options in order.\n           |- Try arranging to visit Naples from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Venice to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Florence (Day 25 - 29).\n           |- The departure day of Naples is Day 21. The arrival day of Florence is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Brussels, Vienna] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Naples to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Florence (Day 25 - 29).\n             |- The departure day of Dubrovnik is Day 25. The arrival day of Florence is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Dubrovnik to Florence.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Brussels from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Naples to Brussels.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Florence (Day 25 - 29).\n             |- The departure day of Brussels is Day 25. The arrival day of Florence is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples, Brussels].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Florence.\n               |- Try arranging to visit Florence from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Brussels to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples, Brussels, Florence].\n                |- Check whether the city with an arrival day of Day 29 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 29. Duration: 5 days. Schedule: Day 29 - 33.\n                 |- Check for direct flight from Florence to Dubrovnik.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Vienna from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                 |- Check for direct flight from Florence to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 32. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples, Brussels, Florence, Vienna].\n                  |- Check whether the city with an arrival day of Day 32 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 32. Duration: 5 days. Schedule: Day 32 - 36.\n                   |- Check for direct flight from Vienna to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 32: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 36. Current plan: [Split, Paris, Stockholm, Oslo, Venice, Naples, Brussels, Florence, Vienna, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-6:** Visit Paris for 2 days.\n**Day 6:** Fly from Paris to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Venice.\n**Day 14-18:** Visit Venice for 5 days.\n**Day 18:** Fly from Venice to Naples.\n**Day 18-21:** Visit Naples for 4 days.\n**Day 21:** Fly from Naples to Brussels.\n**Day 21-25:** Visit Brussels for 5 days.\n**Day 25:** Fly from Brussels to Florence.\n**Day 25-29:** Visit Florence for 5 days.\n**Day 29:** Fly from Florence to Vienna.\n**Day 29-32:** Visit Vienna for 4 days.\n**Day 32:** Fly from Vienna to Dubrovnik.\n**Day 32-36:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Oslo**Budapest**Frankfurt**Dublin**Seville**Manchester**Hamburg**Nice**Mykonos",
    "ground_truth_durations": "5**3**5**5**2**2**4**3**2**2",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Seville"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Oslo",
        "Dublin"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Dublin",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. You want to meet a friend in Hamburg between day 20 and day 22. You want to spend 2 days in Dublin. From day 15 to day 16, there is a annual show you want to attend in Dublin. You want to spend 5 days in Frankfurt. You would like to visit Nice for 2 days. You have to attend a workshop in Nice between day 22 and day 23. You would like to visit Manchester for 4 days. You plan to stay in Budapest for 5 days. You would like to meet your friends at Budapest between day 7 and day 11 to tour together. You would like to visit Seville for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 5 and day 7. You plan to stay in Warsaw for 5 days. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nDublin and Seville, Warsaw and Budapest, Manchester and Nice, Warsaw and Hamburg, Warsaw and Frankfurt, Budapest and Frankfurt, Oslo and Nice, Warsaw and Manchester, Oslo and Hamburg, Dublin and Nice, Frankfurt and Hamburg, Nice and Mykonos, Oslo and Dublin, Budapest and Dublin, Warsaw and Oslo, Manchester and Hamburg, Oslo and Manchester, Oslo and Budapest, Oslo and Frankfurt, Frankfurt and Dublin, Budapest and Manchester, Seville and Manchester, Budapest and Mykonos, Budapest and Nice, Hamburg and Nice, Budapest and Hamburg, Warsaw and Nice, Dublin and Hamburg, Frankfurt and Nice, Dublin and Manchester, Frankfurt and Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Hamburg for 3 days. You want to meet a friend in Hamburg between day 20 and day 22. You want to spend 2 days in Dublin. From day 15 to day 16, there is a annual show you want to attend in Dublin. You want to spend 5 days in Frankfurt. You would like to visit Nice for 2 days. You have to attend a workshop in Nice between day 22 and day 23. You would like to visit Manchester for 4 days. You plan to stay in Budapest for 5 days. You would like to meet your friends at Budapest between day 7 and day 11 to tour together. You would like to visit Seville for 2 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 5 and day 7. You plan to stay in Warsaw for 5 days. You would like to visit Mykonos for 2 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Seville, from Warsaw to Budapest, from Manchester to Nice, from Warsaw to Hamburg, from Warsaw to Frankfurt, from Budapest to Frankfurt, from Oslo to Nice, from Warsaw to Manchester, from Oslo to Hamburg, from Dublin to Nice, from Frankfurt to Hamburg, from Nice to Mykonos, from Oslo to Dublin, from Budapest to Dublin, from Warsaw to Oslo, from Manchester to Hamburg, from Oslo to Manchester, from Oslo to Budapest, from Oslo to Frankfurt, from Frankfurt to Dublin, from Budapest to Manchester, from Seville to Manchester, from Budapest to Mykonos, from Budapest to Nice, from Hamburg to Nice, from Budapest to Hamburg, from Warsaw to Nice, from Dublin to Hamburg, from Frankfurt to Nice, from Dublin to Manchester, from Frankfurt to Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Dublin.\n**Day 15-16:** Visit Dublin for 2 days.\n**Day 16:** Fly from Dublin to Seville.\n**Day 16-17:** Visit Seville for 2 days.\n**Day 17:** Fly from Seville to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Hamburg.\n**Day 20-22:** Visit Hamburg for 3 days.\n**Day 22:** Fly from Hamburg to Nice.\n**Day 22-23:** Visit Nice for 2 days.\n**Day 23:** Fly from Nice to Mykonos.\n**Day 23-24:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1427",
    "estimated_output_tokens": 4074,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Frankfurt, Duration: 5 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Manchester, Duration: 4 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Seville, Duration: 2 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Warsaw, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 5 - 7.\n* City: Budapest, Fixed Schedule: Day 7 - 11.\n* City: Dublin, Fixed Schedule: Day 15 - 16.\n* City: Hamburg, Fixed Schedule: Day 20 - 22.\n* City: Nice, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Mykonos, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Frankfurt, Manchester, Seville, Warsaw, Mykonos] and explore these options in order.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 7).\n |- The departure day of Frankfurt is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Frankfurt to Oslo.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 7).\n |- The departure day of Manchester is Day 4. The arrival day of Oslo is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Seville, Warsaw, Mykonos] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 7).\n |- The departure day of Seville is Day 2. The arrival day of Oslo is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Manchester, Warsaw, Mykonos] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Seville to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 7).\n   |- The departure day of Manchester is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Seville, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Manchester to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Seville to Mykonos.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 7).\n |- The departure day of Warsaw is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Warsaw to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 7 - 11).\n   |- The departure day of Oslo is Day 7. The arrival day of Budapest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Warsaw, Oslo].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Oslo to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 15 - 16).\n     |- The departure day of Budapest is Day 11. The arrival day of Dublin is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Warsaw, Oslo, Budapest].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Manchester, Seville, Mykonos] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Budapest to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dublin (Day 15 - 16).\n       |- The departure day of Frankfurt is Day 15. The arrival day of Dublin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Warsaw, Oslo, Budapest, Frankfurt].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Frankfurt to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 20 - 22).\n         |- The departure day of Dublin is Day 16. The arrival day of Hamburg is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Seville, Mykonos] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Dublin to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 20 - 22).\n           |- The departure day of Manchester is Day 19. The arrival day of Hamburg is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Manchester].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Mykonos] and explore these options in order.\n             |- Try arranging to visit Seville from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Manchester to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Manchester to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Dublin to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 20 - 22).\n           |- The departure day of Seville is Day 17. The arrival day of Hamburg is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Seville].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Mykonos] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Seville to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 20 - 22).\n             |- The departure day of Manchester is Day 20. The arrival day of Hamburg is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Seville, Manchester].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Manchester to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Nice (Day 22 - 23).\n               |- The departure day of Hamburg is Day 22. The arrival day of Nice is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Seville, Manchester, Hamburg].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Nice.\n                 |- Try arranging to visit Nice from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Hamburg to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Seville, Manchester, Hamburg, Nice].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                   |- Check for direct flight from Nice to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Warsaw, Oslo, Budapest, Frankfurt, Dublin, Seville, Manchester, Hamburg, Nice, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Warsaw and visit Warsaw for 5 days.\n**Day 5:** Fly from Warsaw to Oslo.\n**Day 5-7:** Visit Oslo for 3 days.\n**Day 7:** Fly from Oslo to Budapest.\n**Day 7-11:** Visit Budapest for 5 days.\n**Day 11:** Fly from Budapest to Frankfurt.\n**Day 11-15:** Visit Frankfurt for 5 days.\n**Day 15:** Fly from Frankfurt to Dublin.\n**Day 15-16:** Visit Dublin for 2 days.\n**Day 16:** Fly from Dublin to Seville.\n**Day 16-17:** Visit Seville for 2 days.\n**Day 17:** Fly from Seville to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Hamburg.\n**Day 20-22:** Visit Hamburg for 3 days.\n**Day 22:** Fly from Hamburg to Nice.\n**Day 22-23:** Visit Nice for 2 days.\n**Day 23:** Fly from Nice to Mykonos.\n**Day 23-24:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Dublin**Lyon**Valencia**Stuttgart**Naples**Zurich**Tallinn**Vilnius",
    "ground_truth_durations": "3**2**2**2**5**2**2**5**5**5",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Dublin",
        "Lyon"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Valencia",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Tallinn. You plan to stay in Hamburg for 2 days. You want to spend 5 days in Zurich. You plan to stay in Vilnius for 5 days. You want to spend 2 days in Dublin. You would like to visit Valencia for 5 days. You plan to stay in Lyon for 2 days. You want to spend 2 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 10 and day 11. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nLyon and Valencia, Dublin and Valencia, Dublin and Lyon, Hamburg and Zurich, Dublin and Zurich, Valencia and Naples, Hamburg and Stuttgart, Zurich and Vilnius, Salzburg and Hamburg, Valencia and Stuttgart, Dublin and Tallinn, Zurich and Tallinn, from Tallinn to Vilnius, Naples and Zurich, Hamburg and Dublin, Stuttgart and Naples, Dublin and Naples, Valencia and Zurich.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Salzburg for 3 days. You want to spend 5 days in Tallinn. You plan to stay in Hamburg for 2 days. You want to spend 5 days in Zurich. You plan to stay in Vilnius for 5 days. You want to spend 2 days in Dublin. You would like to visit Valencia for 5 days. You plan to stay in Lyon for 2 days. You want to spend 2 days in Stuttgart. You are going to attend a wedding in Stuttgart between day 10 and day 11. You plan to stay in Naples for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lyon to Valencia, from Dublin to Valencia, from Dublin to Lyon, from Hamburg to Zurich, from Dublin to Zurich, from Valencia to Naples, from Hamburg to Stuttgart, from Zurich to Vilnius, from Salzburg to Hamburg, from Valencia to Stuttgart, from Dublin to Tallinn, from Zurich to Tallinn, from Tallinn to Vilnius, from Naples to Zurich, from Hamburg to Dublin, from Stuttgart to Naples, from Dublin to Naples, from Valencia to Zurich.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-4:** Visit Hamburg for 2 days.\n**Day 4:** Fly from Hamburg to Dublin.\n**Day 4-5:** Visit Dublin for 2 days.\n**Day 5:** Fly from Dublin to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Vilnius.\n**Day 20-24:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1428",
    "estimated_output_tokens": 5459,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Salzburg, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Naples, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stuttgart, Fixed Schedule: Day 10 - 11.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Naples, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Tallinn, Hamburg, Zurich, Vilnius, Dublin, Valencia, Lyon, Naples] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stuttgart (Day 10 - 11).\n |- The departure day of Salzburg is Day 3. The arrival day of Stuttgart is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg, Zurich, Vilnius, Dublin, Valencia, Lyon, Naples] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Salzburg to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stuttgart (Day 10 - 11).\n   |- The departure day of Hamburg is Day 4. The arrival day of Stuttgart is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius, Dublin, Valencia, Lyon, Naples] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Hamburg to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Hamburg to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 11).\n     |- The departure day of Zurich is Day 8. The arrival day of Stuttgart is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Hamburg, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Dublin, Valencia, Lyon, Naples] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 10 - 11).\n       |- The departure day of Tallinn is Day 12. The arrival day of Stuttgart is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 10 - 11).\n       |- The departure day of Vilnius is Day 12. The arrival day of Stuttgart is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Hamburg to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Hamburg to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 10 - 11).\n     |- The departure day of Dublin is Day 5. The arrival day of Stuttgart is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Salzburg, Hamburg, Dublin].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius, Valencia, Lyon, Naples] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Dublin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 10 - 11).\n       |- The departure day of Tallinn is Day 9. The arrival day of Stuttgart is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Salzburg, Hamburg, Dublin, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Vilnius, Valencia, Lyon, Naples] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Tallinn to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n         |- The departure day of Vilnius is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Tallinn to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Tallinn to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Tallinn to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Dublin to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 10 - 11).\n       |- The departure day of Zurich is Day 9. The arrival day of Stuttgart is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Salzburg, Hamburg, Dublin, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius, Valencia, Lyon, Naples] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n         |- The departure day of Tallinn is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n         |- The departure day of Vilnius is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Dublin to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Dublin to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 10 - 11).\n       |- The departure day of Valencia is Day 9. The arrival day of Stuttgart is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Salzburg, Hamburg, Dublin, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius, Lyon, Naples] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n         |- The departure day of Zurich is Day 13. The arrival day of Stuttgart is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Valencia to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Valencia to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 10 - 11).\n         |- The departure day of Naples is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Salzburg, Hamburg, Dublin, Valencia, Naples].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Naples to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Dublin to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 10 - 11).\n       |- The departure day of Lyon is Day 6. The arrival day of Stuttgart is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Salzburg, Hamburg, Dublin, Lyon].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius, Valencia, Naples] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Lyon to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Lyon to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Lyon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n         |- Check for direct flight from Lyon to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 10 - 11).\n         |- The departure day of Valencia is Day 10. The arrival day of Stuttgart is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Stuttgart.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Valencia to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia, Stuttgart].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius, Naples] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Stuttgart to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Stuttgart to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Stuttgart to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n             |- Check for direct flight from Stuttgart to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 12. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia, Stuttgart, Naples].\n              |- Check whether the city with an arrival day of Day 12 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Zurich, Vilnius] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from Naples to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n               |- Check for direct flight from Naples to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia, Stuttgart, Naples, Zurich].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn, Vilnius] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n                 |- Check for direct flight from Zurich to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia, Stuttgart, Naples, Zurich, Tallinn].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                   |- Check for direct flight from Tallinn to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Salzburg, Hamburg, Dublin, Lyon, Valencia, Stuttgart, Naples, Zurich, Tallinn, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Hamburg.\n**Day 3-4:** Visit Hamburg for 2 days.\n**Day 4:** Fly from Hamburg to Dublin.\n**Day 4-5:** Visit Dublin for 2 days.\n**Day 5:** Fly from Dublin to Lyon.\n**Day 5-6:** Visit Lyon for 2 days.\n**Day 6:** Fly from Lyon to Valencia.\n**Day 6-10:** Visit Valencia for 5 days.\n**Day 10:** Fly from Valencia to Stuttgart.\n**Day 10-11:** Visit Stuttgart for 2 days.\n**Day 11:** Fly from Stuttgart to Naples.\n**Day 11-12:** Visit Naples for 2 days.\n**Day 12:** Fly from Naples to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Vilnius.\n**Day 20-24:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**London**Paris**Reykjavik**Barcelona**Santorini**Venice**Hamburg**Porto**Valencia",
    "ground_truth_durations": "3**2**5**5**3**2**3**5**2**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Mykonos",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You would like to visit Paris for 5 days. You want to spend 5 days in Reykjavik. You plan to visit relatives in Reykjavik between day 8 and day 12. You would like to visit Santorini for 2 days. You plan to stay in Hamburg for 5 days. You would like to visit London for 2 days. You want to spend 3 days in Barcelona. You would like to visit Porto for 2 days. From day 21 to day 22, there is a annual show you want to attend in Porto. You plan to stay in Venice for 3 days. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nBarcelona and Venice, Paris and Valencia, Barcelona and Porto, Barcelona and Valencia, London and Hamburg, London and Venice, Hamburg and Porto, Santorini and Venice, London and Valencia, London and Reykjavik, Paris and Barcelona, Paris and Venice, Paris and Hamburg, Reykjavik and Barcelona, Porto and Valencia, London and Barcelona, Barcelona and Santorini, Venice and Hamburg, London and Paris, Barcelona and Hamburg, Paris and Porto, London and Santorini, Paris and Reykjavik, Mykonos and London.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 3 days. You would like to visit Paris for 5 days. You want to spend 5 days in Reykjavik. You plan to visit relatives in Reykjavik between day 8 and day 12. You would like to visit Santorini for 2 days. You plan to stay in Hamburg for 5 days. You would like to visit London for 2 days. You want to spend 3 days in Barcelona. You would like to visit Porto for 2 days. From day 21 to day 22, there is a annual show you want to attend in Porto. You plan to stay in Venice for 3 days. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Venice, from Paris to Valencia, from Barcelona to Porto, from Barcelona to Valencia, from London to Hamburg, from London to Venice, from Hamburg to Porto, from Santorini to Venice, from London to Valencia, from London to Reykjavik, from Paris to Barcelona, from Paris to Venice, from Paris to Hamburg, from Reykjavik to Barcelona, from Porto to Valencia, from London to Barcelona, from Barcelona to Santorini, from Venice to Hamburg, from London to Paris, from Barcelona to Hamburg, from Paris to Porto, from London to Santorini, from Paris to Reykjavik, from Mykonos to London.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Venice.\n**Day 15-17:** Visit Venice for 3 days.\n**Day 17:** Fly from Venice to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Porto.\n**Day 21-22:** Visit Porto for 2 days.\n**Day 22:** Fly from Porto to Valencia.\n**Day 22-24:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_1429",
    "estimated_output_tokens": 2906,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Santorini, Duration: 2 days.\n* City: Hamburg, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Venice, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 8 - 12.\n* City: Porto, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Hamburg, Duration: 5 days.\n* City: London, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n* City: Venice, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Paris, Santorini, Hamburg, London, Barcelona, Venice, Valencia] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 8 - 12).\n |- The departure day of Mykonos is Day 3. The arrival day of Reykjavik is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Santorini, Hamburg, London, Barcelona, Venice, Valencia] and explore these options in order.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Paris.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Mykonos to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 8 - 12).\n   |- The departure day of London is Day 4. The arrival day of Reykjavik is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Mykonos, London].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Santorini, Hamburg, Barcelona, Venice, Valencia] and explore these options in order.\n     |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from London to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 8 - 12).\n     |- The departure day of Paris is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, London, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 21 - 22).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Porto is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Mykonos, London, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Barcelona, Venice, Valencia] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Reykjavik to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 21 - 22).\n         |- The departure day of Barcelona is Day 14. The arrival day of Porto is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Hamburg, Venice, Valencia] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Barcelona to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 21 - 22).\n           |- The departure day of Santorini is Day 15. The arrival day of Porto is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona, Santorini].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Venice, Valencia] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Santorini to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Venice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Santorini to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Porto (Day 21 - 22).\n             |- The departure day of Venice is Day 17. The arrival day of Porto is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona, Santorini, Venice].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Valencia] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Venice to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 21 - 22).\n               |- The departure day of Hamburg is Day 21. The arrival day of Porto is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona, Santorini, Venice, Hamburg].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Porto.\n                 |- Try arranging to visit Porto from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Hamburg to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona, Santorini, Venice, Hamburg, Porto].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                   |- Try arranging to visit Valencia from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Porto to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Mykonos, London, Paris, Reykjavik, Barcelona, Santorini, Venice, Hamburg, Porto, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-12:** Visit Reykjavik for 5 days.\n**Day 12:** Fly from Reykjavik to Barcelona.\n**Day 12-14:** Visit Barcelona for 3 days.\n**Day 14:** Fly from Barcelona to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Venice.\n**Day 15-17:** Visit Venice for 3 days.\n**Day 17:** Fly from Venice to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Porto.\n**Day 21-22:** Visit Porto for 2 days.\n**Day 22:** Fly from Porto to Valencia.\n**Day 22-24:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Berlin**Stockholm**Santorini**Bucharest**Copenhagen**Dubrovnik**Helsinki**Madrid**Mykonos",
    "ground_truth_durations": "4**4**5**5**5**5**4**2**3**5",
    "num_cities": 10,
    "total_days": 33,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 26,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 29,
        "end_day": 33
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Bucharest",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You want to spend 4 days in Reykjavik. You would like to meet your friends at Reykjavik between day 1 and day 4 to tour together. You want to spend 5 days in Copenhagen. You want to spend 5 days in Bucharest. You plan to stay in Santorini for 5 days. You plan to stay in Madrid for 3 days. You plan to stay in Dubrovnik for 4 days. During day 23 and day 26, you have to attend a conference in Dubrovnik. You would like to visit Helsinki for 2 days. You have to attend a workshop in Helsinki between day 26 and day 27. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 29 and day 33. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nSantorini and Copenhagen, Stockholm and Dubrovnik, Stockholm and Helsinki, Dubrovnik and Madrid, Madrid and Mykonos, Reykjavik and Stockholm, Stockholm and Madrid, Berlin and Copenhagen, Copenhagen and Helsinki, from Reykjavik to Madrid, Bucharest and Copenhagen, Stockholm and Copenhagen, Santorini and Bucharest, from Stockholm to Santorini, Berlin and Madrid, Berlin and Stockholm, Copenhagen and Madrid, Helsinki and Madrid, Reykjavik and Helsinki, Santorini and Madrid, Berlin and Helsinki, Copenhagen and Dubrovnik, Reykjavik and Copenhagen, Reykjavik and Berlin, Bucharest and Madrid, Dubrovnik and Helsinki.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Stockholm for 5 days. You want to spend 4 days in Reykjavik. You would like to meet your friends at Reykjavik between day 1 and day 4 to tour together. You want to spend 5 days in Copenhagen. You want to spend 5 days in Bucharest. You plan to stay in Santorini for 5 days. You plan to stay in Madrid for 3 days. You plan to stay in Dubrovnik for 4 days. During day 23 and day 26, you have to attend a conference in Dubrovnik. You would like to visit Helsinki for 2 days. You have to attend a workshop in Helsinki between day 26 and day 27. You want to spend 5 days in Mykonos. You plan to visit relatives in Mykonos between day 29 and day 33. You want to spend 4 days in Berlin.\n\nHere are the cities that have direct flights:\nfrom Santorini to Copenhagen, from Stockholm to Dubrovnik, from Stockholm to Helsinki, from Dubrovnik to Madrid, from Madrid to Mykonos, from Reykjavik to Stockholm, from Stockholm to Madrid, from Berlin to Copenhagen, from Copenhagen to Helsinki, from Reykjavik to Madrid, from Bucharest to Copenhagen, from Stockholm to Copenhagen, from Santorini to Bucharest, from Stockholm to Santorini, from Berlin to Madrid, from Berlin to Stockholm, from Copenhagen to Madrid, from Helsinki to Madrid, from Reykjavik to Helsinki, from Santorini to Madrid, from Berlin to Helsinki, from Copenhagen to Dubrovnik, from Reykjavik to Copenhagen, from Reykjavik to Berlin, from Bucharest to Madrid, from Dubrovnik to Helsinki.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 33 days:\n\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Stockholm.\n**Day 7-11:** Visit Stockholm for 5 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.\n**Day 19:** Fly from Bucharest to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Dubrovnik.\n**Day 23-26:** Visit Dubrovnik for 4 days.\n**Day 26:** Fly from Dubrovnik to Helsinki.\n**Day 26-27:** Visit Helsinki for 2 days.\n**Day 27:** Fly from Helsinki to Madrid.\n**Day 27-29:** Visit Madrid for 3 days.\n**Day 29:** Fly from Madrid to Mykonos.\n**Day 29-33:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1430",
    "estimated_output_tokens": 9194,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Madrid, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 26 - 27.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 29 - 33.\n* City: Berlin, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 1 - 4.\n* City: Dubrovnik, Fixed Schedule: Day 23 - 26.\n* City: Helsinki, Fixed Schedule: Day 26 - 27.\n* City: Mykonos, Fixed Schedule: Day 29 - 33.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Madrid, Duration: 3 days.\n* City: Berlin, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Reykjavik.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 23 - 26).\n |- The departure day of Reykjavik is Day 4. The arrival day of Dubrovnik is Day 23. Day 4 is not later than (<=) Day 23. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Copenhagen, Bucharest, Santorini, Madrid, Berlin] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 23 - 26).\n   |- The departure day of Stockholm is Day 8. The arrival day of Dubrovnik is Day 23. Day 8 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Stockholm].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Santorini, Madrid, Berlin] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stockholm to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 23 - 26).\n     |- The departure day of Copenhagen is Day 12. The arrival day of Dubrovnik is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Stockholm, Copenhagen].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Madrid, Berlin] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Copenhagen to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Copenhagen to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Copenhagen to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 23 - 26).\n       |- The departure day of Madrid is Day 14. The arrival day of Dubrovnik is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Stockholm, Copenhagen, Madrid].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Berlin] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Madrid to Berlin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Copenhagen to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stockholm to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 23 - 26).\n     |- The departure day of Santorini is Day 12. The arrival day of Dubrovnik is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Reykjavik, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Madrid, Berlin] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Santorini to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 23 - 26).\n       |- The departure day of Copenhagen is Day 16. The arrival day of Dubrovnik is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Reykjavik, Stockholm, Santorini, Copenhagen].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Madrid, Berlin] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Copenhagen to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Copenhagen to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 23 - 26).\n         |- The departure day of Madrid is Day 18. The arrival day of Dubrovnik is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Reykjavik, Stockholm, Santorini, Copenhagen, Madrid].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Berlin] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Madrid to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Madrid to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Copenhagen to Berlin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Santorini to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 23 - 26).\n       |- The departure day of Bucharest is Day 16. The arrival day of Dubrovnik is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Reykjavik, Stockholm, Santorini, Bucharest].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Madrid, Berlin] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Bucharest to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 23 - 26).\n         |- The departure day of Copenhagen is Day 20. The arrival day of Dubrovnik is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Reykjavik, Stockholm, Santorini, Bucharest, Copenhagen].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid, Berlin] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n           |- Check for direct flight from Copenhagen to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Dubrovnik (Day 23 - 26).\n           |- The departure day of Madrid is Day 22. The arrival day of Dubrovnik is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Reykjavik, Stockholm, Santorini, Bucharest, Copenhagen, Madrid].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Madrid to Berlin.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Berlin from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n           |- Check for direct flight from Copenhagen to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Madrid from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Bucharest to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 23 - 26).\n         |- The departure day of Madrid is Day 18. The arrival day of Dubrovnik is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Reykjavik, Stockholm, Santorini, Bucharest, Madrid].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Berlin] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Madrid to Copenhagen.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Madrid to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Bucharest to Berlin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Madrid from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Santorini to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 23 - 26).\n       |- The departure day of Madrid is Day 14. The arrival day of Dubrovnik is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Reykjavik, Stockholm, Santorini, Madrid].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Berlin] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Madrid to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Madrid to Berlin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Santorini to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stockholm to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 23 - 26).\n     |- The departure day of Madrid is Day 10. The arrival day of Dubrovnik is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Stockholm, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Santorini, Berlin] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Madrid to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stockholm to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 23 - 26).\n   |- The departure day of Copenhagen is Day 8. The arrival day of Dubrovnik is Day 23. Day 8 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Copenhagen].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Bucharest, Santorini, Madrid, Berlin] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Copenhagen to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Copenhagen to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 23 - 26).\n     |- The departure day of Madrid is Day 10. The arrival day of Dubrovnik is Day 23. Day 10 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Reykjavik, Copenhagen, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Bucharest, Santorini, Berlin] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Madrid to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Madrid to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Copenhagen to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 23 - 26).\n   |- The departure day of Madrid is Day 6. The arrival day of Dubrovnik is Day 23. Day 6 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Reykjavik, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Copenhagen, Bucharest, Santorini, Berlin] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Madrid to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Reykjavik to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 23 - 26).\n   |- The departure day of Berlin is Day 7. The arrival day of Dubrovnik is Day 23. Day 7 is not later than (<=) Day 23. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Reykjavik, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Copenhagen, Bucharest, Santorini, Madrid] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 23 - 26).\n     |- The departure day of Stockholm is Day 11. The arrival day of Dubrovnik is Day 23. Day 11 is not later than (<=) Day 23. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Reykjavik, Berlin, Stockholm].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Santorini, Madrid] and explore these options in order.\n       |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 23 - 26).\n       |- The departure day of Copenhagen is Day 15. The arrival day of Dubrovnik is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Reykjavik, Berlin, Stockholm, Copenhagen].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Madrid] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Copenhagen to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Copenhagen to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n         |- Check for direct flight from Copenhagen to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 23 - 26).\n         |- The departure day of Madrid is Day 17. The arrival day of Dubrovnik is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Reykjavik, Berlin, Stockholm, Copenhagen, Madrid].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Madrid to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Madrid to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dubrovnik (Day 23 - 26).\n       |- The departure day of Santorini is Day 15. The arrival day of Dubrovnik is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Reykjavik, Berlin, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Bucharest, Madrid] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Santorini to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 23 - 26).\n         |- The departure day of Copenhagen is Day 19. The arrival day of Dubrovnik is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Copenhagen].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Madrid] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Copenhagen to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n           |- Check for direct flight from Copenhagen to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dubrovnik (Day 23 - 26).\n           |- The departure day of Madrid is Day 21. The arrival day of Dubrovnik is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Copenhagen, Madrid].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Madrid to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Santorini to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 23 - 26).\n         |- The departure day of Bucharest is Day 19. The arrival day of Dubrovnik is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Copenhagen, Madrid] and explore these options in order.\n           |- Try arranging to visit Copenhagen from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Bucharest to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dubrovnik (Day 23 - 26).\n           |- The departure day of Copenhagen is Day 23. The arrival day of Dubrovnik is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest, Copenhagen].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- Yes. The city with an arrival day of Day 23 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n             |- Check for direct flight from Copenhagen to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Helsinki (Day 26 - 27).\n             |- The departure day of Dubrovnik is Day 26. The arrival day of Helsinki is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest, Copenhagen, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- Yes. The city with an arrival day of Day 26 - is fixed: Helsinki.\n               |- Try arranging to visit Helsinki from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n               |- Check for direct flight from Dubrovnik to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Mykonos (Day 29 - 33).\n               |- The departure day of Helsinki is Day 27. The arrival day of Mykonos is Day 29. Day 27 is not later than (<=) Day 29. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest, Copenhagen, Dubrovnik, Helsinki].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n                 |- Try arranging to visit Madrid from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                 |- Check for direct flight from Helsinki to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: Mykonos (Day 29 - 33).\n                 |- The departure day of Madrid is Day 29. The arrival day of Mykonos is Day 29. Day 29 is not later than (<=) Day 29. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest, Copenhagen, Dubrovnik, Helsinki, Madrid].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- Yes. The city with an arrival day of Day 29 - is fixed: Mykonos.\n                   |- Try arranging to visit Mykonos from Day 29. Duration: 5 days. Schedule: Day 29 - 33.\n                   |- Check for direct flight from Madrid to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 33. Current plan: [Reykjavik, Berlin, Stockholm, Santorini, Bucharest, Copenhagen, Dubrovnik, Helsinki, Madrid, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Reykjavik and visit Reykjavik for 4 days.\n**Day 4:** Fly from Reykjavik to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Stockholm.\n**Day 7-11:** Visit Stockholm for 5 days.\n**Day 11:** Fly from Stockholm to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Bucharest.\n**Day 15-19:** Visit Bucharest for 5 days.\n**Day 19:** Fly from Bucharest to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Dubrovnik.\n**Day 23-26:** Visit Dubrovnik for 4 days.\n**Day 26:** Fly from Dubrovnik to Helsinki.\n**Day 26-27:** Visit Helsinki for 2 days.\n**Day 27:** Fly from Helsinki to Madrid.\n**Day 27-29:** Visit Madrid for 3 days.\n**Day 29:** Fly from Madrid to Mykonos.\n**Day 29-33:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Athens**Rome**Seville**Edinburgh**Helsinki**Tallinn**Barcelona**Lyon**Brussels",
    "ground_truth_durations": "5**4**5**2**3**4**5**5**5**3",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 26,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 30,
        "end_day": 32
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Helsinki",
        "Barcelona"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Edinburgh"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Seville",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You would like to meet your friends at Lyon between day 26 and day 30 to tour together. You plan to stay in Edinburgh for 3 days. You would like to visit Tallinn for 5 days. You plan to stay in Athens for 4 days. You plan to visit relatives in Athens between day 5 and day 8. You plan to stay in Barcelona for 5 days. You plan to stay in Seville for 2 days. You would like to visit Helsinki for 4 days. You want to spend 3 days in Brussels. During day 30 and day 32, you have to attend a conference in Brussels. You plan to stay in Rome for 5 days. From day 8 to day 12, there is a annual show you want to attend in Rome. You would like to visit Copenhagen for 5 days.\n\nHere are the cities that have direct flights:\nTallinn and Barcelona, Athens and Barcelona, Seville and Brussels, Edinburgh and Barcelona, Rome and Lyon, Rome and Helsinki, Athens and Rome, Athens and Edinburgh, Lyon and Brussels, Edinburgh and Brussels, Copenhagen and Athens, Rome and Seville, Tallinn and Brussels, Copenhagen and Rome, Helsinki and Tallinn, Barcelona and Lyon, Edinburgh and Helsinki, Copenhagen and Helsinki, Rome and Edinburgh, Helsinki and Brussels, Rome and Barcelona, Copenhagen and Tallinn, Athens and Brussels, Copenhagen and Brussels, Helsinki and Barcelona, Copenhagen and Barcelona, Barcelona and Brussels, Copenhagen and Edinburgh, Seville and Edinburgh, Rome and Brussels, Seville and Barcelona.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 5 days. You would like to meet your friends at Lyon between day 26 and day 30 to tour together. You plan to stay in Edinburgh for 3 days. You would like to visit Tallinn for 5 days. You plan to stay in Athens for 4 days. You plan to visit relatives in Athens between day 5 and day 8. You plan to stay in Barcelona for 5 days. You plan to stay in Seville for 2 days. You would like to visit Helsinki for 4 days. You want to spend 3 days in Brussels. During day 30 and day 32, you have to attend a conference in Brussels. You plan to stay in Rome for 5 days. From day 8 to day 12, there is a annual show you want to attend in Rome. You would like to visit Copenhagen for 5 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Barcelona, from Athens to Barcelona, from Seville to Brussels, from Edinburgh to Barcelona, from Rome to Lyon, from Rome to Helsinki, from Athens to Rome, from Athens to Edinburgh, from Lyon to Brussels, from Edinburgh to Brussels, from Copenhagen to Athens, from Rome to Seville, from Tallinn to Brussels, from Copenhagen to Rome, from Helsinki to Tallinn, from Barcelona to Lyon, from Edinburgh to Helsinki, from Copenhagen to Helsinki, from Rome to Edinburgh, from Helsinki to Brussels, from Rome to Barcelona, from Copenhagen to Tallinn, from Athens to Brussels, from Copenhagen to Brussels, from Helsinki to Barcelona, from Copenhagen to Barcelona, from Barcelona to Brussels, from Copenhagen to Edinburgh, from Seville to Edinburgh, from Rome to Brussels, from Seville to Barcelona.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to Seville.\n**Day 12-13:** Visit Seville for 2 days.\n**Day 13:** Fly from Seville to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-18:** Visit Helsinki for 4 days.\n**Day 18:** Fly from Helsinki to Tallinn.\n**Day 18-22:** Visit Tallinn for 5 days.\n**Day 22:** Fly from Tallinn to Barcelona.\n**Day 22-26:** Visit Barcelona for 5 days.\n**Day 26:** Fly from Barcelona to Lyon.\n**Day 26-30:** Visit Lyon for 5 days.\n**Day 30:** Fly from Lyon to Brussels.\n**Day 30-32:** Visit Brussels for 3 days.",
    "id": "trip_planning_example_1431",
    "estimated_output_tokens": 7792,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 26 - 30.\n* City: Edinburgh, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 30 - 32.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Copenhagen, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Athens, Fixed Schedule: Day 5 - 8.\n* City: Rome, Fixed Schedule: Day 8 - 12.\n* City: Lyon, Fixed Schedule: Day 26 - 30.\n* City: Brussels, Fixed Schedule: Day 30 - 32.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 3 days.\n* City: Tallinn, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Copenhagen, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Barcelona, Seville, Helsinki, Copenhagen] and explore these options in order.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Edinburgh is Day 3. The arrival day of Athens is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Seville, Helsinki, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Edinburgh to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Edinburgh to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 5 - 8).\n   |- The departure day of Barcelona is Day 7. The arrival day of Athens is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Edinburgh to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Edinburgh to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Athens (Day 5 - 8).\n   |- The departure day of Helsinki is Day 6. The arrival day of Athens is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Edinburgh to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Tallinn is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Barcelona from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Barcelona is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Barcelona to Athens.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Seville is Day 2. The arrival day of Athens is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Barcelona, Helsinki, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Seville to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 5 - 8).\n   |- The departure day of Edinburgh is Day 4. The arrival day of Athens is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Seville, Edinburgh].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Helsinki, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n     |- The departure day of Barcelona is Day 8. The arrival day of Athens is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Edinburgh to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n     |- The departure day of Helsinki is Day 7. The arrival day of Athens is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Edinburgh to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 5 - 8).\n   |- The departure day of Barcelona is Day 6. The arrival day of Athens is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Seville to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Helsinki is Day 4. The arrival day of Athens is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Barcelona, Seville, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n   |- The departure day of Tallinn is Day 8. The arrival day of Athens is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 8).\n   |- The departure day of Barcelona is Day 8. The arrival day of Athens is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Helsinki to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Copenhagen.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 5 - 8).\n |- The departure day of Copenhagen is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n   |- Try arranging to visit Athens from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Copenhagen to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 8 - 12).\n   |- The departure day of Athens is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Athens to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 26 - 30).\n     |- The departure day of Rome is Day 12. The arrival day of Lyon is Day 26. Day 12 is not later than (<=) Day 26. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Copenhagen, Athens, Rome].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Barcelona, Seville, Helsinki] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Rome to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 26 - 30).\n       |- The departure day of Edinburgh is Day 14. The arrival day of Lyon is Day 26. Day 14 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Copenhagen, Athens, Rome, Edinburgh].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Seville, Helsinki] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Edinburgh to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Edinburgh to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 26 - 30).\n         |- The departure day of Barcelona is Day 18. The arrival day of Lyon is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Copenhagen, Athens, Rome, Edinburgh, Barcelona].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Seville, Helsinki] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Barcelona to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Barcelona to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Barcelona to Helsinki.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Edinburgh to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Edinburgh to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 26 - 30).\n         |- The departure day of Helsinki is Day 17. The arrival day of Lyon is Day 26. Day 17 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Athens, Rome, Edinburgh, Helsinki].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Seville] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Helsinki to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lyon (Day 26 - 30).\n           |- The departure day of Tallinn is Day 21. The arrival day of Lyon is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Copenhagen, Athens, Rome, Edinburgh, Helsinki, Tallinn].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Barcelona, Seville] and explore these options in order.\n             |- Try arranging to visit Barcelona from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Tallinn to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Lyon (Day 26 - 30).\n             |- The departure day of Barcelona is Day 25. The arrival day of Lyon is Day 26. Day 25 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Copenhagen, Athens, Rome, Edinburgh, Helsinki, Tallinn, Barcelona].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n               |- Try arranging to visit Seville from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n               |- Check for direct flight from Barcelona to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Tallinn to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Helsinki to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lyon (Day 26 - 30).\n           |- The departure day of Barcelona is Day 21. The arrival day of Lyon is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Copenhagen, Athens, Rome, Edinburgh, Helsinki, Barcelona].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Seville] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Barcelona to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Barcelona to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Helsinki to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Rome to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Rome to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 26 - 30).\n       |- The departure day of Barcelona is Day 16. The arrival day of Lyon is Day 26. Day 16 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Copenhagen, Athens, Rome, Barcelona].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Seville, Helsinki] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Barcelona to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Barcelona to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Barcelona to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Rome to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 26 - 30).\n       |- The departure day of Seville is Day 13. The arrival day of Lyon is Day 26. Day 13 is not later than (<=) Day 26. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Athens, Rome, Seville].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Tallinn, Barcelona, Helsinki] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Seville to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 26 - 30).\n         |- The departure day of Edinburgh is Day 15. The arrival day of Lyon is Day 26. Day 15 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Helsinki] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Edinburgh to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Edinburgh to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lyon (Day 26 - 30).\n           |- The departure day of Barcelona is Day 19. The arrival day of Lyon is Day 26. Day 19 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Barcelona].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Barcelona to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Barcelona to Helsinki.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Edinburgh to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lyon (Day 26 - 30).\n           |- The departure day of Helsinki is Day 18. The arrival day of Lyon is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Helsinki].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Helsinki to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Lyon (Day 26 - 30).\n             |- The departure day of Tallinn is Day 22. The arrival day of Lyon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Helsinki, Tallinn].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Barcelona] and explore these options in order.\n               |- Try arranging to visit Barcelona from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Tallinn to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Lyon (Day 26 - 30).\n               |- The departure day of Barcelona is Day 26. The arrival day of Lyon is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Helsinki, Tallinn, Barcelona].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- Yes. The city with an arrival day of Day 26 - is fixed: Lyon.\n                 |- Try arranging to visit Lyon from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                 |- Check for direct flight from Barcelona to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Brussels (Day 30 - 32).\n                 |- The departure day of Lyon is Day 30. The arrival day of Brussels is Day 30. Day 30 is not later than (<=) Day 30. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Helsinki, Tallinn, Barcelona, Lyon].\n                  |- Check whether the city with an arrival day of Day 30 - is fixed.\n                  |- Yes. The city with an arrival day of Day 30 - is fixed: Brussels.\n                   |- Try arranging to visit Brussels from Day 30. Duration: 3 days. Schedule: Day 30 - 32.\n                   |- Check for direct flight from Lyon to Brussels.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 30: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Copenhagen, Athens, Rome, Seville, Edinburgh, Helsinki, Tallinn, Barcelona, Lyon, Brussels].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Athens.\n**Day 5-8:** Visit Athens for 4 days.\n**Day 8:** Fly from Athens to Rome.\n**Day 8-12:** Visit Rome for 5 days.\n**Day 12:** Fly from Rome to Seville.\n**Day 12-13:** Visit Seville for 2 days.\n**Day 13:** Fly from Seville to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-18:** Visit Helsinki for 4 days.\n**Day 18:** Fly from Helsinki to Tallinn.\n**Day 18-22:** Visit Tallinn for 5 days.\n**Day 22:** Fly from Tallinn to Barcelona.\n**Day 22-26:** Visit Barcelona for 5 days.\n**Day 26:** Fly from Barcelona to Lyon.\n**Day 26-30:** Visit Lyon for 5 days.\n**Day 30:** Fly from Lyon to Brussels.\n**Day 30-32:** Visit Brussels for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Amsterdam**Valencia**Vienna**Reykjavik**Athens**Riga**Bucharest**Frankfurt**Salzburg",
    "ground_truth_durations": "3**3**2**5**5**5**3**3**4**5",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 18,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Athens"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Riga",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 4 days. You plan to stay in Salzburg for 5 days. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 14 and day 18. You plan to stay in Reykjavik for 5 days. You would like to visit Bucharest for 3 days. You want to spend 2 days in Valencia. From day 5 to day 6, there is a annual show you want to attend in Valencia. You would like to visit Vienna for 5 days. You are going to attend a wedding in Vienna between day 6 and day 10. You would like to visit Amsterdam for 3 days. You plan to stay in Stockholm for 3 days. You want to meet a friend in Stockholm between day 1 and day 3. You plan to stay in Riga for 3 days. During day 18 and day 20, you have to attend a conference in Riga.\n\nHere are the cities that have direct flights:\nValencia and Frankfurt, Vienna and Bucharest, from Valencia to Athens, Athens and Bucharest, Riga and Frankfurt, Stockholm and Athens, Amsterdam and Bucharest, from Athens to Riga, Amsterdam and Frankfurt, Stockholm and Vienna, Vienna and Riga, Amsterdam and Reykjavik, Reykjavik and Frankfurt, Stockholm and Amsterdam, Amsterdam and Valencia, Vienna and Frankfurt, Valencia and Bucharest, Bucharest and Frankfurt, Stockholm and Frankfurt, Valencia and Vienna, from Reykjavik to Athens, Frankfurt and Salzburg, Amsterdam and Vienna, Stockholm and Reykjavik, Amsterdam and Riga, Stockholm and Riga, Vienna and Reykjavik, Amsterdam and Athens, Athens and Frankfurt, Vienna and Athens, Riga and Bucharest.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 4 days. You plan to stay in Salzburg for 5 days. You plan to stay in Athens for 5 days. You have to attend a workshop in Athens between day 14 and day 18. You plan to stay in Reykjavik for 5 days. You would like to visit Bucharest for 3 days. You want to spend 2 days in Valencia. From day 5 to day 6, there is a annual show you want to attend in Valencia. You would like to visit Vienna for 5 days. You are going to attend a wedding in Vienna between day 6 and day 10. You would like to visit Amsterdam for 3 days. You plan to stay in Stockholm for 3 days. You want to meet a friend in Stockholm between day 1 and day 3. You plan to stay in Riga for 3 days. During day 18 and day 20, you have to attend a conference in Riga.\n\nHere are the cities that have direct flights:\nfrom Valencia to Frankfurt, from Vienna to Bucharest, from Valencia to Athens, from Athens to Bucharest, from Riga to Frankfurt, from Stockholm to Athens, from Amsterdam to Bucharest, from Athens to Riga, from Amsterdam to Frankfurt, from Stockholm to Vienna, from Vienna to Riga, from Amsterdam to Reykjavik, from Reykjavik to Frankfurt, from Stockholm to Amsterdam, from Amsterdam to Valencia, from Vienna to Frankfurt, from Valencia to Bucharest, from Bucharest to Frankfurt, from Stockholm to Frankfurt, from Valencia to Vienna, from Reykjavik to Athens, from Frankfurt to Salzburg, from Amsterdam to Vienna, from Stockholm to Reykjavik, from Amsterdam to Riga, from Stockholm to Riga, from Vienna to Reykjavik, from Amsterdam to Athens, from Athens to Frankfurt, from Vienna to Athens, from Riga to Bucharest.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Amsterdam.\n**Day 3-5:** Visit Amsterdam for 3 days.\n**Day 5:** Fly from Amsterdam to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-18:** Visit Athens for 5 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-20:** Visit Riga for 3 days.\n**Day 20:** Fly from Riga to Bucharest.\n**Day 20-22:** Visit Bucharest for 3 days.\n**Day 22:** Fly from Bucharest to Frankfurt.\n**Day 22-25:** Visit Frankfurt for 4 days.\n**Day 25:** Fly from Frankfurt to Salzburg.\n**Day 25-29:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1432",
    "estimated_output_tokens": 3832,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Athens, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Reykjavik, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Duration: 3 days.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Fixed Schedule: Day 6 - 10.\n* City: Athens, Fixed Schedule: Day 14 - 18.\n* City: Riga, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 4 days.\n* City: Salzburg, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 5 - 6).\n |- The departure day of Stockholm is Day 3. The arrival day of Valencia is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Reykjavik, Bucharest, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 5 - 6).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Valencia is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 5 - 6).\n   |- The departure day of Reykjavik is Day 7. The arrival day of Valencia is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Stockholm, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Amsterdam to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 6 - 10).\n     |- The departure day of Valencia is Day 6. The arrival day of Vienna is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Stockholm, Amsterdam, Valencia].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Valencia to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Athens (Day 14 - 18).\n       |- The departure day of Vienna is Day 10. The arrival day of Athens is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Amsterdam, Valencia, Vienna].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Reykjavik, Bucharest] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Vienna to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Athens (Day 14 - 18).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Athens is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Bucharest] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Frankfurt to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Athens (Day 14 - 18).\n           |- The departure day of Salzburg is Day 17. The arrival day of Athens is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Frankfurt to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Frankfurt to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Vienna to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Vienna to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Athens (Day 14 - 18).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Athens is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Athens.\n           |- Try arranging to visit Athens from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Reykjavik to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 18 - 20).\n           |- The departure day of Athens is Day 18. The arrival day of Riga is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Athens to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Bucharest] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Riga to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg, Bucharest] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Frankfurt to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga, Frankfurt, Salzburg].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                   |- Try arranging to visit Bucharest from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                   |- Check for direct flight from Salzburg to Bucharest.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Bucharest from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Frankfurt to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Salzburg from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Riga to Salzburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Riga to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga, Bucharest].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Frankfurt from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Bucharest to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga, Bucharest, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Frankfurt to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Stockholm, Amsterdam, Valencia, Vienna, Reykjavik, Athens, Riga, Bucharest, Frankfurt, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Amsterdam.\n**Day 3-5:** Visit Amsterdam for 3 days.\n**Day 5:** Fly from Amsterdam to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Athens.\n**Day 14-18:** Visit Athens for 5 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-20:** Visit Riga for 3 days.\n**Day 20:** Fly from Riga to Bucharest.\n**Day 20-22:** Visit Bucharest for 3 days.\n**Day 22:** Fly from Bucharest to Frankfurt.\n**Day 22-25:** Visit Frankfurt for 4 days.\n**Day 25:** Fly from Frankfurt to Salzburg.\n**Day 25-29:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Madrid**Hamburg**Helsinki**Reykjavik**Zurich**Florence**Brussels**Lyon**Frankfurt",
    "ground_truth_durations": "2**4**5**2**5**5**5**3**4**4",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 27,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 4 days. You plan to visit relatives in Frankfurt between day 27 and day 30. You want to spend 5 days in Hamburg. You plan to stay in Helsinki for 2 days. You want to spend 4 days in Madrid. From day 2 to day 5, there is a annual show you want to attend in Madrid. You want to spend 5 days in Florence. You have to attend a workshop in Florence between day 18 and day 22. You want to spend 3 days in Brussels. You plan to stay in Zurich for 5 days. You want to spend 4 days in Lyon. You would like to visit Reykjavik for 5 days. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, Madrid and Frankfurt, Madrid and Brussels, Santorini and Madrid, Madrid and Lyon, Florence and Brussels, Reykjavik and Frankfurt, Santorini and Zurich, Helsinki and Reykjavik, Helsinki and Brussels, Helsinki and Zurich, Hamburg and Brussels, Zurich and Brussels, Madrid and Helsinki, Hamburg and Zurich, Lyon and Frankfurt, Madrid and Florence, from Zurich to Florence, Zurich and Frankfurt, Brussels and Lyon, Helsinki and Frankfurt, Reykjavik and Zurich, Florence and Frankfurt, Madrid and Zurich, Madrid and Hamburg, Hamburg and Helsinki, from Reykjavik to Madrid, Hamburg and Frankfurt, Reykjavik and Brussels.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 4 days. You plan to visit relatives in Frankfurt between day 27 and day 30. You want to spend 5 days in Hamburg. You plan to stay in Helsinki for 2 days. You want to spend 4 days in Madrid. From day 2 to day 5, there is a annual show you want to attend in Madrid. You want to spend 5 days in Florence. You have to attend a workshop in Florence between day 18 and day 22. You want to spend 3 days in Brussels. You plan to stay in Zurich for 5 days. You want to spend 4 days in Lyon. You would like to visit Reykjavik for 5 days. You plan to stay in Santorini for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Frankfurt, from Madrid to Frankfurt, from Madrid to Brussels, from Santorini to Madrid, from Madrid to Lyon, from Florence to Brussels, from Reykjavik to Frankfurt, from Santorini to Zurich, from Helsinki to Reykjavik, from Helsinki to Brussels, from Helsinki to Zurich, from Hamburg to Brussels, from Zurich to Brussels, from Madrid to Helsinki, from Hamburg to Zurich, from Lyon to Frankfurt, from Madrid to Florence, from Zurich to Florence, from Zurich to Frankfurt, from Brussels to Lyon, from Helsinki to Frankfurt, from Reykjavik to Zurich, from Florence to Frankfurt, from Madrid to Zurich, from Madrid to Hamburg, from Hamburg to Helsinki, from Reykjavik to Madrid, from Hamburg to Frankfurt, from Reykjavik to Brussels.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Hamburg.\n**Day 5-9:** Visit Hamburg for 5 days.\n**Day 9:** Fly from Hamburg to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Florence.\n**Day 18-22:** Visit Florence for 5 days.\n**Day 22:** Fly from Florence to Brussels.\n**Day 22-24:** Visit Brussels for 3 days.\n**Day 24:** Fly from Brussels to Lyon.\n**Day 24-27:** Visit Lyon for 4 days.\n**Day 27:** Fly from Lyon to Frankfurt.\n**Day 27-30:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_1433",
    "estimated_output_tokens": 5161,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 27 - 30.\n* City: Hamburg, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Brussels, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 2 - 5.\n* City: Florence, Fixed Schedule: Day 18 - 22.\n* City: Frankfurt, Fixed Schedule: Day 27 - 30.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Brussels, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Hamburg, Helsinki, Brussels, Zurich, Lyon, Reykjavik, Santorini] and explore these options in order.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Hamburg is Day 5. The arrival day of Madrid is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Helsinki is Day 2. The arrival day of Madrid is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Helsinki to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Brussels is Day 3. The arrival day of Madrid is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Zurich is Day 5. The arrival day of Madrid is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Lyon is Day 4. The arrival day of Madrid is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Reykjavik is Day 5. The arrival day of Madrid is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Madrid (Day 2 - 5).\n |- The departure day of Santorini is Day 2. The arrival day of Madrid is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Madrid.\n   |- Try arranging to visit Madrid from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Santorini to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 18 - 22).\n   |- The departure day of Madrid is Day 5. The arrival day of Florence is Day 18. Day 5 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Helsinki, Brussels, Zurich, Lyon, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 18 - 22).\n     |- The departure day of Hamburg is Day 9. The arrival day of Florence is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, Madrid, Hamburg].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Zurich, Lyon, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Hamburg to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 18 - 22).\n       |- The departure day of Helsinki is Day 10. The arrival day of Florence is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Madrid, Hamburg, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Zurich, Lyon, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n         |- The departure day of Brussels is Day 12. The arrival day of Florence is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Brussels].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Brussels to Zurich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Brussels to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 18 - 22).\n           |- The departure day of Lyon is Day 15. The arrival day of Florence is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Brussels, Lyon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Lyon to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Lyon to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Brussels to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Helsinki to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n         |- The departure day of Zurich is Day 14. The arrival day of Florence is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Lyon, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Zurich to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 22).\n           |- The departure day of Brussels is Day 16. The arrival day of Florence is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Zurich, Brussels].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Brussels to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 18 - 22).\n             |- The departure day of Lyon is Day 19. The arrival day of Florence is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Brussels to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Zurich to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Zurich to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Helsinki to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Florence (Day 18 - 22).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Florence is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Zurich, Lyon] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Reykjavik to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 22).\n           |- The departure day of Brussels is Day 16. The arrival day of Florence is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Brussels].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Brussels to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Brussels to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 18 - 22).\n             |- The departure day of Lyon is Day 19. The arrival day of Florence is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Reykjavik to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 18 - 22).\n           |- The departure day of Zurich is Day 18. The arrival day of Florence is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Zurich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Florence.\n             |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Zurich to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 27 - 30).\n             |- The departure day of Florence is Day 22. The arrival day of Frankfurt is Day 27. Day 22 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Zurich, Florence].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Brussels, Lyon] and explore these options in order.\n               |- Try arranging to visit Brussels from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Florence to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Frankfurt (Day 27 - 30).\n               |- The departure day of Brussels is Day 24. The arrival day of Frankfurt is Day 27. Day 24 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Zurich, Florence, Brussels].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                 |- Check for direct flight from Brussels to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Frankfurt (Day 27 - 30).\n                 |- The departure day of Lyon is Day 27. The arrival day of Frankfurt is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Zurich, Florence, Brussels, Lyon].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Frankfurt.\n                   |- Try arranging to visit Frankfurt from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n                   |- Check for direct flight from Lyon to Frankfurt.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Santorini, Madrid, Hamburg, Helsinki, Reykjavik, Zurich, Florence, Brussels, Lyon, Frankfurt].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Santorini and visit Santorini for 2 days.\n**Day 2:** Fly from Santorini to Madrid.\n**Day 2-5:** Visit Madrid for 4 days.\n**Day 5:** Fly from Madrid to Hamburg.\n**Day 5-9:** Visit Hamburg for 5 days.\n**Day 9:** Fly from Hamburg to Helsinki.\n**Day 9-10:** Visit Helsinki for 2 days.\n**Day 10:** Fly from Helsinki to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Florence.\n**Day 18-22:** Visit Florence for 5 days.\n**Day 22:** Fly from Florence to Brussels.\n**Day 22-24:** Visit Brussels for 3 days.\n**Day 24:** Fly from Brussels to Lyon.\n**Day 24-27:** Visit Lyon for 4 days.\n**Day 27:** Fly from Lyon to Frankfurt.\n**Day 27-30:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Venice**Nice**Mykonos**Rome**Seville**Dublin**Bucharest**Lisbon**Stuttgart",
    "ground_truth_durations": "5**4**3**2**3**5**2**2**2**4",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Mykonos",
        "Rome"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Frankfurt",
        "Lisbon"
      ],
      [
        "Nice",
        "Rome"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Seville",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. You want to spend 2 days in Mykonos. You would like to meet your friends at Mykonos between day 10 and day 11 to tour together. You plan to stay in Lisbon for 2 days. You want to spend 5 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 5. You plan to stay in Nice for 3 days. You would like to visit Stuttgart for 4 days. You want to spend 4 days in Venice. You plan to stay in Dublin for 2 days. You want to spend 2 days in Bucharest. You plan to stay in Seville for 5 days. During day 13 and day 17, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nRome and Stuttgart, Venice and Rome, Dublin and Bucharest, Mykonos and Rome, Seville and Lisbon, Frankfurt and Venice, Venice and Stuttgart, Bucharest and Lisbon, Nice and Mykonos, Venice and Lisbon, Dublin and Lisbon, Venice and Nice, Rome and Seville, Frankfurt and Rome, Nice and Dublin, Rome and Bucharest, Frankfurt and Dublin, Rome and Dublin, Venice and Dublin, Rome and Lisbon, Frankfurt and Lisbon, Nice and Rome, Frankfurt and Nice, Frankfurt and Stuttgart, Frankfurt and Bucharest, Lisbon and Stuttgart, Nice and Lisbon, Seville and Dublin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 3 days. You want to spend 2 days in Mykonos. You would like to meet your friends at Mykonos between day 10 and day 11 to tour together. You plan to stay in Lisbon for 2 days. You want to spend 5 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 5. You plan to stay in Nice for 3 days. You would like to visit Stuttgart for 4 days. You want to spend 4 days in Venice. You plan to stay in Dublin for 2 days. You want to spend 2 days in Bucharest. You plan to stay in Seville for 5 days. During day 13 and day 17, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nfrom Rome to Stuttgart, from Venice to Rome, from Dublin to Bucharest, from Mykonos to Rome, from Seville to Lisbon, from Frankfurt to Venice, from Venice to Stuttgart, from Bucharest to Lisbon, from Nice to Mykonos, from Venice to Lisbon, from Dublin to Lisbon, from Venice to Nice, from Rome to Seville, from Frankfurt to Rome, from Nice to Dublin, from Rome to Bucharest, from Frankfurt to Dublin, from Rome to Dublin, from Venice to Dublin, from Rome to Lisbon, from Frankfurt to Lisbon, from Nice to Rome, from Frankfurt to Nice, from Frankfurt to Stuttgart, from Frankfurt to Bucharest, from Lisbon to Stuttgart, from Nice to Lisbon, from Seville to Dublin.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Mykonos.\n**Day 10-11:** Visit Mykonos for 2 days.\n**Day 11:** Fly from Mykonos to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n**Day 17:** Fly from Seville to Dublin.\n**Day 17-18:** Visit Dublin for 2 days.\n**Day 18:** Fly from Dublin to Bucharest.\n**Day 18-19:** Visit Bucharest for 2 days.\n**Day 19:** Fly from Bucharest to Lisbon.\n**Day 19-20:** Visit Lisbon for 2 days.\n**Day 20:** Fly from Lisbon to Stuttgart.\n**Day 20-23:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1434",
    "estimated_output_tokens": 12751,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 3 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Lisbon, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Nice, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 5.\n* City: Mykonos, Fixed Schedule: Day 10 - 11.\n* City: Seville, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Rome, Duration: 3 days.\n* City: Lisbon, Duration: 2 days.\n* City: Nice, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Dublin, Duration: 2 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 10 - 11).\n |- The departure day of Frankfurt is Day 5. The arrival day of Mykonos is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Nice, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Frankfurt to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 11).\n   |- The departure day of Rome is Day 7. The arrival day of Mykonos is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lisbon, Nice, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Lisbon is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Rome, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lisbon to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Mykonos is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Rome, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Dublin is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Rome, Dublin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Nice, Stuttgart, Venice, Bucharest] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dublin to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Lisbon is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Rome, Dublin, Lisbon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Stuttgart, Venice, Bucharest] and explore these options in order.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lisbon to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Mykonos is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lisbon to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dublin to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dublin to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Bucharest is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Rome, Dublin, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Nice, Stuttgart, Venice] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n         |- The departure day of Lisbon is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Frankfurt, Rome, Dublin, Bucharest, Lisbon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Lisbon to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Bucharest to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Bucharest to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Rome to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Bucharest is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Rome, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Nice, Stuttgart, Venice, Dublin] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Lisbon is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Rome, Bucharest, Lisbon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Stuttgart, Venice, Dublin] and explore these options in order.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lisbon to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Mykonos is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lisbon to Dublin.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Bucharest to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Dublin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Frankfurt to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 11).\n   |- The departure day of Lisbon is Day 6. The arrival day of Mykonos is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lisbon to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lisbon to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 10 - 11).\n     |- The departure day of Stuttgart is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Lisbon, Stuttgart].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Venice, Dublin, Bucharest] and explore these options in order.\n       |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stuttgart to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stuttgart to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Stuttgart to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Stuttgart to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Stuttgart to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Frankfurt to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 11).\n   |- The departure day of Nice is Day 7. The arrival day of Mykonos is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Frankfurt, Nice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n     |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Nice to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Rome is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Nice, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n       |- The departure day of Lisbon is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Frankfurt, Nice, Rome, Lisbon].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Lisbon to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Rome to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Mykonos is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Rome to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n       |- The departure day of Dublin is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Frankfurt, Nice, Rome, Dublin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Dublin to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Rome to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n       |- The departure day of Bucharest is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Frankfurt, Nice, Rome, Bucharest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Bucharest to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Nice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Lisbon is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Nice, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Stuttgart, Venice, Dublin, Bucharest] and explore these options in order.\n       |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lisbon to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Stuttgart is Day 11. The arrival day of Mykonos is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lisbon to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Nice to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Nice to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Nice to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 10 - 11).\n     |- The departure day of Dublin is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Frankfurt, Nice, Dublin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Stuttgart, Venice, Bucharest] and explore these options in order.\n       |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dublin to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dublin to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Lisbon is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Nice, Dublin, Lisbon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Stuttgart, Venice, Bucharest] and explore these options in order.\n         |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lisbon to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Mykonos is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Lisbon to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Lisbon to Bucharest.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dublin to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dublin to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n       |- The departure day of Bucharest is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Frankfurt, Nice, Dublin, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Stuttgart, Venice] and explore these options in order.\n         |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Bucharest to Rome.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Bucharest to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n         |- The departure day of Lisbon is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Frankfurt, Nice, Dublin, Bucharest, Lisbon].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Lisbon to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Bucharest to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Bucharest to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Nice to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Frankfurt to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 11).\n   |- The departure day of Stuttgart is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Frankfurt, Stuttgart].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Nice, Venice, Dublin, Bucharest] and explore these options in order.\n     |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stuttgart to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stuttgart to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Stuttgart to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Stuttgart to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stuttgart to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Stuttgart to Bucharest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Frankfurt to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 10 - 11).\n   |- The departure day of Venice is Day 8. The arrival day of Mykonos is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Frankfurt, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Nice, Stuttgart, Dublin, Bucharest] and explore these options in order.\n     |- Try arranging to visit Rome from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n     |- The departure day of Rome is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Venice, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Rome to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n     |- The departure day of Lisbon is Day 9. The arrival day of Mykonos is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Frankfurt, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Rome, Nice, Stuttgart, Dublin, Bucharest] and explore these options in order.\n       |- Try arranging to visit Rome from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lisbon to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Mykonos (Day 10 - 11).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Mykonos is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Bucharest.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 10 - 11).\n     |- The departure day of Nice is Day 10. The arrival day of Mykonos is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Venice, Nice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 13 - 17).\n       |- The departure day of Mykonos is Day 11. The arrival day of Seville is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Venice, Nice, Mykonos].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Lisbon, Stuttgart, Dublin, Bucharest] and explore these options in order.\n         |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Mykonos to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 13 - 17).\n         |- The departure day of Rome is Day 13. The arrival day of Seville is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Seville.\n           |- Try arranging to visit Seville from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Rome to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart, Dublin, Bucharest] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Seville to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Lisbon].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dublin, Bucharest] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Lisbon to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Lisbon, Stuttgart].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dublin, Bucharest] and explore these options in order.\n                 |- Try arranging to visit Dublin from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Stuttgart to Dublin.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Bucharest from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Stuttgart to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Dublin from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Lisbon to Dublin.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Lisbon to Bucharest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Seville to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dublin from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Seville to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart, Bucharest] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Dublin to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin, Lisbon].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart, Bucharest] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Lisbon to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin, Lisbon, Stuttgart].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                   |- Try arranging to visit Bucharest from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                   |- Check for direct flight from Stuttgart to Bucharest.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Bucharest from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Lisbon to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Dublin to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Dublin to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin, Bucharest].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lisbon, Stuttgart] and explore these options in order.\n                 |- Try arranging to visit Lisbon from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Bucharest to Lisbon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin, Bucharest, Lisbon].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                   |- Try arranging to visit Stuttgart from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                   |- Check for direct flight from Lisbon to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Frankfurt, Venice, Nice, Mykonos, Rome, Seville, Dublin, Bucharest, Lisbon, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Frankfurt and visit Frankfurt for 5 days.\n**Day 5:** Fly from Frankfurt to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Nice.\n**Day 8-10:** Visit Nice for 3 days.\n**Day 10:** Fly from Nice to Mykonos.\n**Day 10-11:** Visit Mykonos for 2 days.\n**Day 11:** Fly from Mykonos to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Seville.\n**Day 13-17:** Visit Seville for 5 days.\n**Day 17:** Fly from Seville to Dublin.\n**Day 17-18:** Visit Dublin for 2 days.\n**Day 18:** Fly from Dublin to Bucharest.\n**Day 18-19:** Visit Bucharest for 2 days.\n**Day 19:** Fly from Bucharest to Lisbon.\n**Day 19-20:** Visit Lisbon for 2 days.\n**Day 20:** Fly from Lisbon to Stuttgart.\n**Day 20-23:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Prague**Istanbul**Budapest**Bucharest**Riga**Warsaw**Porto**Lisbon**Florence",
    "ground_truth_durations": "5**2**3**3**3**5**4**2**4**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 10,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Prague"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Florence"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Lisbon"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Warsaw",
        "Lisbon"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Bucharest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. From day 8 to day 10, there is a annual show you want to attend in Budapest. You would like to visit Lisbon for 4 days. You want to spend 5 days in Florence. You would like to visit Porto for 2 days. You would like to visit Prague for 2 days. You are going to attend a wedding in Prague between day 5 and day 6. You want to spend 4 days in Warsaw. You want to spend 5 days in Amsterdam. During day 1 and day 5, you have to attend a conference in Amsterdam. You want to spend 3 days in Istanbul. You would like to meet your friends at Istanbul between day 6 and day 8 to tour together. You plan to stay in Riga for 5 days. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 10 and day 12.\n\nHere are the cities that have direct flights:\nAmsterdam and Bucharest, Prague and Lisbon, Amsterdam and Istanbul, Istanbul and Budapest, Amsterdam and Warsaw, Istanbul and Riga, Riga and Lisbon, Bucharest and Riga, Budapest and Bucharest, Budapest and Lisbon, Istanbul and Porto, Prague and Warsaw, Amsterdam and Lisbon, Amsterdam and Riga, Prague and Budapest, Amsterdam and Prague, Amsterdam and Porto, Porto and Lisbon, Amsterdam and Florence, Prague and Florence, Istanbul and Lisbon, Riga and Warsaw, Prague and Bucharest, Lisbon and Florence, Warsaw and Porto, Istanbul and Bucharest, Bucharest and Lisbon, Prague and Istanbul, Amsterdam and Budapest, Warsaw and Lisbon, Budapest and Warsaw, Prague and Riga, Istanbul and Warsaw, Bucharest and Warsaw.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. From day 8 to day 10, there is a annual show you want to attend in Budapest. You would like to visit Lisbon for 4 days. You want to spend 5 days in Florence. You would like to visit Porto for 2 days. You would like to visit Prague for 2 days. You are going to attend a wedding in Prague between day 5 and day 6. You want to spend 4 days in Warsaw. You want to spend 5 days in Amsterdam. During day 1 and day 5, you have to attend a conference in Amsterdam. You want to spend 3 days in Istanbul. You would like to meet your friends at Istanbul between day 6 and day 8 to tour together. You plan to stay in Riga for 5 days. You would like to visit Bucharest for 3 days. You plan to visit relatives in Bucharest between day 10 and day 12.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Bucharest, from Prague to Lisbon, from Amsterdam to Istanbul, from Istanbul to Budapest, from Amsterdam to Warsaw, from Istanbul to Riga, from Riga to Lisbon, from Bucharest to Riga, from Budapest to Bucharest, from Budapest to Lisbon, from Istanbul to Porto, from Prague to Warsaw, from Amsterdam to Lisbon, from Amsterdam to Riga, from Prague to Budapest, from Amsterdam to Prague, from Amsterdam to Porto, from Porto to Lisbon, from Amsterdam to Florence, from Prague to Florence, from Istanbul to Lisbon, from Riga to Warsaw, from Prague to Bucharest, from Lisbon to Florence, from Warsaw to Porto, from Istanbul to Bucharest, from Bucharest to Lisbon, from Prague to Istanbul, from Amsterdam to Budapest, from Warsaw to Lisbon, from Budapest to Warsaw, from Prague to Riga, from Istanbul to Warsaw, from Bucharest to Warsaw.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Bucharest.\n**Day 10-12:** Visit Bucharest for 3 days.\n**Day 12:** Fly from Bucharest to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Porto.\n**Day 19-20:** Visit Porto for 2 days.\n**Day 20:** Fly from Porto to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1435",
    "estimated_output_tokens": 5862,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Lisbon, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Warsaw, Duration: 4 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Riga, Duration: 5 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 5.\n* City: Prague, Fixed Schedule: Day 5 - 6.\n* City: Istanbul, Fixed Schedule: Day 6 - 8.\n* City: Budapest, Fixed Schedule: Day 8 - 10.\n* City: Bucharest, Fixed Schedule: Day 10 - 12.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 4 days.\n* City: Florence, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n* City: Warsaw, Duration: 4 days.\n* City: Riga, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 6).\n |- The departure day of Amsterdam is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Amsterdam to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 6 - 8).\n   |- The departure day of Prague is Day 6. The arrival day of Istanbul is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 8 - 10).\n     |- The departure day of Istanbul is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Prague, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n       |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Istanbul to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Bucharest (Day 10 - 12).\n       |- The departure day of Budapest is Day 10. The arrival day of Bucharest is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Prague, Istanbul, Budapest].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Budapest to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Porto, Warsaw, Riga] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Bucharest to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Lisbon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Porto, Warsaw, Riga] and explore these options in order.\n             |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Lisbon to Florence.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Lisbon, Florence].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto, Warsaw, Riga] and explore these options in order.\n               |- Try arranging to visit Porto from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Florence to Porto.\n               |- No. Drop this branch.\n               |- Try arranging to visit Warsaw from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Florence to Warsaw.\n               |- No. Drop this branch.\n               |- Try arranging to visit Riga from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Florence to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Lisbon to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Lisbon to Warsaw.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Lisbon to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Bucharest to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Bucharest to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Bucharest to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Porto, Riga] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Warsaw to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw, Lisbon].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, Porto, Riga] and explore these options in order.\n               |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Lisbon to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw, Lisbon, Florence].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto, Riga] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Florence to Porto.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Riga from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Florence to Riga.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Lisbon to Porto.\n               |- No. Drop this branch.\n               |- Try arranging to visit Riga from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Lisbon to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Florence from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Warsaw to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Warsaw to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw, Porto].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Riga] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Porto to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw, Porto, Lisbon].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence, Riga] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Lisbon to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Warsaw, Porto, Lisbon, Florence].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Florence to Riga.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Riga from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Lisbon to Riga.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Florence from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Porto to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Riga from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Porto to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Warsaw to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Porto, Warsaw] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Riga to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Lisbon].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, Porto, Warsaw] and explore these options in order.\n               |- Try arranging to visit Florence from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Lisbon to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Lisbon, Florence].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto, Warsaw] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Florence to Porto.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Warsaw from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Florence to Warsaw.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Porto from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Lisbon to Porto.\n               |- No. Drop this branch.\n               |- Try arranging to visit Warsaw from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Lisbon to Warsaw.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Florence from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Riga to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Riga to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Riga to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence, Porto] and explore these options in order.\n               |- Try arranging to visit Lisbon from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Warsaw to Lisbon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw, Lisbon].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence, Porto] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Lisbon to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw, Lisbon, Florence].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                   |- Try arranging to visit Porto from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Florence to Porto.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Porto from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Lisbon to Porto.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Florence from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Warsaw to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Porto from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Warsaw to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw, Porto].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lisbon, Florence] and explore these options in order.\n                 |- Try arranging to visit Lisbon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Porto to Lisbon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw, Porto, Lisbon].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                   |- Try arranging to visit Florence from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Lisbon to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Amsterdam, Prague, Istanbul, Budapest, Bucharest, Riga, Warsaw, Porto, Lisbon, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to Prague.\n**Day 5-6:** Visit Prague for 2 days.\n**Day 6:** Fly from Prague to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Bucharest.\n**Day 10-12:** Visit Bucharest for 3 days.\n**Day 12:** Fly from Bucharest to Riga.\n**Day 12-16:** Visit Riga for 5 days.\n**Day 16:** Fly from Riga to Warsaw.\n**Day 16-19:** Visit Warsaw for 4 days.\n**Day 19:** Fly from Warsaw to Porto.\n**Day 19-20:** Visit Porto for 2 days.\n**Day 20:** Fly from Porto to Lisbon.\n**Day 20-23:** Visit Lisbon for 4 days.\n**Day 23:** Fly from Lisbon to Florence.\n**Day 23-27:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Riga**Milan**Valencia**Paris**London**Dublin**Brussels**Istanbul**Salzburg",
    "ground_truth_durations": "2**4**5**2**2**2**4**5**5**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 2,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Paris",
        "Dublin"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Milan",
        "Istanbul"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Dublin",
        "Istanbul"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Valencia",
        "London"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Oslo",
        "Dublin"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Valencia",
        "Brussels"
      ],
      [
        "Milan",
        "London"
      ],
      [
        "Oslo",
        "Brussels"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. From day 12 to day 15, there is a annual show you want to attend in Dublin. You would like to visit Milan for 5 days. You would like to visit Oslo for 2 days. You plan to stay in Istanbul for 5 days. You plan to stay in London for 2 days. You are going to attend a wedding in London between day 11 and day 12. You want to spend 2 days in Valencia. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 15 and day 19 to tour together. You would like to visit Paris for 2 days. You want to meet a friend in Paris between day 10 and day 11. You would like to visit Salzburg for 4 days. You would like to visit Riga for 4 days. You plan to visit relatives in Riga between day 2 and day 5.\n\nHere are the cities that have direct flights:\nOslo and Istanbul, Valencia and Dublin, Oslo and Milan, Paris and Istanbul, Milan and Dublin, Riga and Dublin, Milan and Valencia, Riga and Paris, Oslo and Paris, Paris and Dublin, London and Istanbul, Paris and London, Paris and Brussels, Riga and Istanbul, Milan and Istanbul, Milan and Paris, Oslo and London, London and Brussels, London and Dublin, Dublin and Brussels, Riga and Brussels, Istanbul and Salzburg, Dublin and Istanbul, Milan and Brussels, Valencia and Istanbul, Brussels and Istanbul, Valencia and London, Oslo and Riga, Oslo and Dublin, Valencia and Paris, Riga and Milan, Valencia and Brussels, Milan and London, Oslo and Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. From day 12 to day 15, there is a annual show you want to attend in Dublin. You would like to visit Milan for 5 days. You would like to visit Oslo for 2 days. You plan to stay in Istanbul for 5 days. You plan to stay in London for 2 days. You are going to attend a wedding in London between day 11 and day 12. You want to spend 2 days in Valencia. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 15 and day 19 to tour together. You would like to visit Paris for 2 days. You want to meet a friend in Paris between day 10 and day 11. You would like to visit Salzburg for 4 days. You would like to visit Riga for 4 days. You plan to visit relatives in Riga between day 2 and day 5.\n\nHere are the cities that have direct flights:\nfrom Oslo to Istanbul, from Valencia to Dublin, from Oslo to Milan, from Paris to Istanbul, from Milan to Dublin, from Riga to Dublin, from Milan to Valencia, from Riga to Paris, from Oslo to Paris, from Paris to Dublin, from London to Istanbul, from Paris to London, from Paris to Brussels, from Riga to Istanbul, from Milan to Istanbul, from Milan to Paris, from Oslo to London, from London to Brussels, from London to Dublin, from Dublin to Brussels, from Riga to Brussels, from Istanbul to Salzburg, from Dublin to Istanbul, from Milan to Brussels, from Valencia to Istanbul, from Brussels to Istanbul, from Valencia to London, from Oslo to Riga, from Oslo to Dublin, from Valencia to Paris, from Riga to Milan, from Valencia to Brussels, from Milan to London, from Oslo to Brussels.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Dublin.\n**Day 12-15:** Visit Dublin for 4 days.\n**Day 15:** Fly from Dublin to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Istanbul.\n**Day 19-23:** Visit Istanbul for 5 days.\n**Day 23:** Fly from Istanbul to Salzburg.\n**Day 23-26:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1436",
    "estimated_output_tokens": 2692,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Milan, Duration: 5 days.\n* City: Oslo, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Valencia, Duration: 2 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Salzburg, Duration: 4 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 2 - 5.\n* City: Paris, Fixed Schedule: Day 10 - 11.\n* City: London, Fixed Schedule: Day 11 - 12.\n* City: Dublin, Fixed Schedule: Day 12 - 15.\n* City: Brussels, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Milan, Duration: 5 days.\n* City: Oslo, Duration: 2 days.\n* City: Istanbul, Duration: 5 days.\n* City: Valencia, Duration: 2 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Milan, Oslo, Istanbul, Valencia, Salzburg] and explore these options in order.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 5).\n |- The departure day of Milan is Day 5. The arrival day of Riga is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 2 - 5).\n |- The departure day of Oslo is Day 2. The arrival day of Riga is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Oslo to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 10 - 11).\n   |- The departure day of Riga is Day 5. The arrival day of Paris is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Milan, Istanbul, Valencia, Salzburg] and explore these options in order.\n     |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Riga to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 10 - 11).\n     |- The departure day of Milan is Day 9. The arrival day of Paris is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Oslo, Riga, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Valencia, Salzburg] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Milan to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 10 - 11).\n       |- The departure day of Istanbul is Day 13. The arrival day of Paris is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Milan to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 10 - 11).\n       |- The departure day of Valencia is Day 10. The arrival day of Paris is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Oslo, Riga, Milan, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: London (Day 11 - 12).\n         |- The departure day of Paris is Day 11. The arrival day of London is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Oslo, Riga, Milan, Valencia, Paris].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: London.\n           |- Try arranging to visit London from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Paris to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Dublin (Day 12 - 15).\n           |- The departure day of London is Day 12. The arrival day of Dublin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Oslo, Riga, Milan, Valencia, Paris, London].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from London to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 15 - 19).\n             |- The departure day of Dublin is Day 15. The arrival day of Brussels is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Oslo, Riga, Milan, Valencia, Paris, London, Dublin].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Brussels.\n               |- Try arranging to visit Brussels from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Dublin to Brussels.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Oslo, Riga, Milan, Valencia, Paris, London, Dublin, Brussels].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Istanbul, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Istanbul from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Brussels to Istanbul.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Oslo, Riga, Milan, Valencia, Paris, London, Dublin, Brussels, Istanbul].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Istanbul to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Oslo, Riga, Milan, Valencia, Paris, London, Dublin, Brussels, Istanbul, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Riga.\n**Day 2-5:** Visit Riga for 4 days.\n**Day 5:** Fly from Riga to Milan.\n**Day 5-9:** Visit Milan for 5 days.\n**Day 9:** Fly from Milan to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Paris.\n**Day 10-11:** Visit Paris for 2 days.\n**Day 11:** Fly from Paris to London.\n**Day 11-12:** Visit London for 2 days.\n**Day 12:** Fly from London to Dublin.\n**Day 12-15:** Visit Dublin for 4 days.\n**Day 15:** Fly from Dublin to Brussels.\n**Day 15-19:** Visit Brussels for 5 days.\n**Day 19:** Fly from Brussels to Istanbul.\n**Day 19-23:** Visit Istanbul for 5 days.\n**Day 23:** Fly from Istanbul to Salzburg.\n**Day 23-26:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**London**Venice**Edinburgh**Athens**Split**Frankfurt**Valencia**Warsaw**Tallinn",
    "ground_truth_durations": "5**5**5**3**5**5**5**4**4**2",
    "num_cities": 10,
    "total_days": 34,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 27,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 30,
        "end_day": 33
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Warsaw"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Athens"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Split",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 34 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You want to spend 5 days in Frankfurt. You would like to meet your friends at Frankfurt between day 23 and day 27 to tour together. You want to spend 4 days in Valencia. During day 27 and day 30, you have to attend a conference in Valencia. You plan to stay in Santorini for 5 days. You plan to stay in Edinburgh for 3 days. From day 13 to day 15, there is a annual show you want to attend in Edinburgh. You want to spend 5 days in Split. You would like to visit Venice for 5 days. You plan to stay in London for 5 days. You are going to attend a wedding in London between day 5 and day 9. You want to spend 4 days in Warsaw. You have to attend a workshop in Warsaw between day 30 and day 33. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nLondon and Warsaw, London and Edinburgh, Santorini and London, Athens and Split, Athens and Warsaw, Warsaw and Tallinn, Edinburgh and Frankfurt, from Valencia to Athens, London and Split, Split and Warsaw, Venice and Athens, London and Valencia, London and Athens, Frankfurt and Warsaw, Edinburgh and Athens, London and Venice, London and Frankfurt, Frankfurt and Tallinn, Venice and Edinburgh, Santorini and Venice, Frankfurt and Valencia, Santorini and Athens, Venice and Frankfurt, Athens and Frankfurt, Valencia and Warsaw, Venice and Warsaw, Split and Frankfurt.\n\nFind a trip plan of visiting the cities for 34 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 34 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Athens. You want to spend 5 days in Frankfurt. You would like to meet your friends at Frankfurt between day 23 and day 27 to tour together. You want to spend 4 days in Valencia. During day 27 and day 30, you have to attend a conference in Valencia. You plan to stay in Santorini for 5 days. You plan to stay in Edinburgh for 3 days. From day 13 to day 15, there is a annual show you want to attend in Edinburgh. You want to spend 5 days in Split. You would like to visit Venice for 5 days. You plan to stay in London for 5 days. You are going to attend a wedding in London between day 5 and day 9. You want to spend 4 days in Warsaw. You have to attend a workshop in Warsaw between day 30 and day 33. You want to spend 2 days in Tallinn.\n\nHere are the cities that have direct flights:\nfrom London to Warsaw, from London to Edinburgh, from Santorini to London, from Athens to Split, from Athens to Warsaw, from Warsaw to Tallinn, from Edinburgh to Frankfurt, from Valencia to Athens, from London to Split, from Split to Warsaw, from Venice to Athens, from London to Valencia, from London to Athens, from Frankfurt to Warsaw, from Edinburgh to Athens, from London to Venice, from London to Frankfurt, from Frankfurt to Tallinn, from Venice to Edinburgh, from Santorini to Venice, from Frankfurt to Valencia, from Santorini to Athens, from Venice to Frankfurt, from Athens to Frankfurt, from Valencia to Warsaw, from Venice to Warsaw, from Split to Frankfurt.\n\nFind a trip plan of visiting the cities for 34 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 34 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Athens.\n**Day 15-19:** Visit Athens for 5 days.\n**Day 19:** Fly from Athens to Split.\n**Day 19-23:** Visit Split for 5 days.\n**Day 23:** Fly from Split to Frankfurt.\n**Day 23-27:** Visit Frankfurt for 5 days.\n**Day 27:** Fly from Frankfurt to Valencia.\n**Day 27-30:** Visit Valencia for 4 days.\n**Day 30:** Fly from Valencia to Warsaw.\n**Day 30-33:** Visit Warsaw for 4 days.\n**Day 33:** Fly from Warsaw to Tallinn.\n**Day 33-34:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1437",
    "estimated_output_tokens": 3261,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 27 - 30.\n* City: Santorini, Duration: 5 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Split, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 30 - 33.\n* City: Tallinn, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 9.\n* City: Edinburgh, Fixed Schedule: Day 13 - 15.\n* City: Frankfurt, Fixed Schedule: Day 23 - 27.\n* City: Valencia, Fixed Schedule: Day 27 - 30.\n* City: Warsaw, Fixed Schedule: Day 30 - 33.\n\nCities needing arrangement:\n* City: Athens, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Split, Duration: 5 days.\n* City: Venice, Duration: 5 days.\n* City: Tallinn, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Santorini, Split, Venice, Tallinn] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 9).\n |- The departure day of Athens is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Athens to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 9).\n |- The departure day of Santorini is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 13 - 15).\n   |- The departure day of London is Day 9. The arrival day of Edinburgh is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Santorini, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Split, Venice, Tallinn] and explore these options in order.\n     |- Try arranging to visit Athens from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 15).\n     |- The departure day of Athens is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, London, Athens].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Athens to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 15).\n     |- The departure day of Split is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, London, Split].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Split to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 15).\n     |- The departure day of Venice is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Santorini, London, Venice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 23 - 27).\n       |- The departure day of Edinburgh is Day 15. The arrival day of Frankfurt is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Santorini, London, Venice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Split, Tallinn] and explore these options in order.\n         |- Try arranging to visit Athens from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Edinburgh to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 23 - 27).\n         |- The departure day of Athens is Day 19. The arrival day of Frankfurt is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Santorini, London, Venice, Edinburgh, Athens].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Tallinn] and explore these options in order.\n           |- Try arranging to visit Split from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Athens to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Frankfurt (Day 23 - 27).\n           |- The departure day of Split is Day 23. The arrival day of Frankfurt is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Santorini, London, Venice, Edinburgh, Athens, Split].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- Yes. The city with an arrival day of Day 23 - is fixed: Frankfurt.\n             |- Try arranging to visit Frankfurt from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n             |- Check for direct flight from Split to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Valencia (Day 27 - 30).\n             |- The departure day of Frankfurt is Day 27. The arrival day of Valencia is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 27. Current plan: [Santorini, London, Venice, Edinburgh, Athens, Split, Frankfurt].\n              |- Check whether the city with an arrival day of Day 27 - is fixed.\n              |- Yes. The city with an arrival day of Day 27 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n               |- Check for direct flight from Frankfurt to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: Warsaw (Day 30 - 33).\n               |- The departure day of Valencia is Day 30. The arrival day of Warsaw is Day 30. Day 30 is not later than (<=) Day 30. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 30. Current plan: [Santorini, London, Venice, Edinburgh, Athens, Split, Frankfurt, Valencia].\n                |- Check whether the city with an arrival day of Day 30 - is fixed.\n                |- Yes. The city with an arrival day of Day 30 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 30. Duration: 4 days. Schedule: Day 30 - 33.\n                 |- Check for direct flight from Valencia to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 30: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 33. Current plan: [Santorini, London, Venice, Edinburgh, Athens, Split, Frankfurt, Valencia, Warsaw].\n                  |- Check whether the city with an arrival day of Day 33 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 33. Duration: 2 days. Schedule: Day 33 - 34.\n                   |- Check for direct flight from Warsaw to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 33: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 34. Current plan: [Santorini, London, Venice, Edinburgh, Athens, Split, Frankfurt, Valencia, Warsaw, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Edinburgh.\n**Day 13-15:** Visit Edinburgh for 3 days.\n**Day 15:** Fly from Edinburgh to Athens.\n**Day 15-19:** Visit Athens for 5 days.\n**Day 19:** Fly from Athens to Split.\n**Day 19-23:** Visit Split for 5 days.\n**Day 23:** Fly from Split to Frankfurt.\n**Day 23-27:** Visit Frankfurt for 5 days.\n**Day 27:** Fly from Frankfurt to Valencia.\n**Day 27-30:** Visit Valencia for 4 days.\n**Day 30:** Fly from Valencia to Warsaw.\n**Day 30-33:** Visit Warsaw for 4 days.\n**Day 33:** Fly from Warsaw to Tallinn.\n**Day 33-34:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Istanbul**Venice**Naples**Athens**Riga**Oslo**Krakow**London",
    "ground_truth_durations": "2**5**5**3**5**3**4**3**4**2",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Rome",
        "London"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Istanbul",
        "Naples"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Athens",
        "London"
      ],
      [
        "Rome",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You plan to stay in Rome for 5 days. You plan to visit relatives in Rome between day 2 and day 6. You would like to visit Riga for 4 days. You would like to visit Venice for 3 days. During day 10 and day 12, you have to attend a conference in Venice. You want to spend 5 days in Istanbul. From day 6 to day 10, there is a annual show you want to attend in Istanbul. You plan to stay in Athens for 3 days. You plan to stay in Oslo for 3 days. You want to spend 5 days in Naples. You want to spend 4 days in Krakow. You have to attend a workshop in Krakow between day 23 and day 26. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nIstanbul and Riga, Istanbul and London, Rome and London, Istanbul and Krakow, Rome and Istanbul, Naples and London, Athens and Oslo, Riga and Oslo, Istanbul and Venice, from Rome to Riga, Naples and Athens, Istanbul and Naples, Krakow and London, Naples and Oslo, Rome and Oslo, Istanbul and Oslo, Istanbul and Athens, Venice and Oslo, Venice and Naples, from Athens to Riga, Venice and London, Venice and Athens, Oslo and London, Oslo and Krakow, Rome and Naples, Seville and Rome, Rome and Venice, Athens and London, Rome and Athens.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You plan to stay in Rome for 5 days. You plan to visit relatives in Rome between day 2 and day 6. You would like to visit Riga for 4 days. You would like to visit Venice for 3 days. During day 10 and day 12, you have to attend a conference in Venice. You want to spend 5 days in Istanbul. From day 6 to day 10, there is a annual show you want to attend in Istanbul. You plan to stay in Athens for 3 days. You plan to stay in Oslo for 3 days. You want to spend 5 days in Naples. You want to spend 4 days in Krakow. You have to attend a workshop in Krakow between day 23 and day 26. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Riga, from Istanbul to London, from Rome to London, from Istanbul to Krakow, from Rome to Istanbul, from Naples to London, from Athens to Oslo, from Riga to Oslo, from Istanbul to Venice, from Rome to Riga, from Naples to Athens, from Istanbul to Naples, from Krakow to London, from Naples to Oslo, from Rome to Oslo, from Istanbul to Oslo, from Istanbul to Athens, from Venice to Oslo, from Venice to Naples, from Athens to Riga, from Venice to London, from Venice to Athens, from Oslo to London, from Oslo to Krakow, from Rome to Naples, from Seville to Rome, from Rome to Venice, from Athens to London, from Rome to Athens.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-10:** Visit Istanbul for 5 days.\n**Day 10:** Fly from Istanbul to Venice.\n**Day 10-12:** Visit Venice for 3 days.\n**Day 12:** Fly from Venice to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-21:** Visit Riga for 4 days.\n**Day 21:** Fly from Riga to Oslo.\n**Day 21-23:** Visit Oslo for 3 days.\n**Day 23:** Fly from Oslo to Krakow.\n**Day 23-26:** Visit Krakow for 4 days.\n**Day 26:** Fly from Krakow to London.\n**Day 26-27:** Visit London for 2 days.",
    "id": "trip_planning_example_1438",
    "estimated_output_tokens": 5440,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Riga, Duration: 4 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Athens, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Krakow, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: London, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 2 - 6.\n* City: Istanbul, Fixed Schedule: Day 6 - 10.\n* City: Venice, Fixed Schedule: Day 10 - 12.\n* City: Krakow, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Riga, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Oslo, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Riga, Athens, Oslo, Naples, London] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 2 - 6).\n |- The departure day of Seville is Day 2. The arrival day of Rome is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 6 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Istanbul is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 10 - 12).\n     |- The departure day of Istanbul is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Seville, Rome, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Istanbul to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 23 - 26).\n       |- The departure day of Venice is Day 12. The arrival day of Krakow is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Rome, Istanbul, Venice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Oslo, Naples, London] and explore these options in order.\n         |- Try arranging to visit Riga from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Venice to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Venice to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 23 - 26).\n         |- The departure day of Athens is Day 14. The arrival day of Krakow is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Rome, Istanbul, Venice, Athens].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Oslo, Naples, London] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Athens to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 23 - 26).\n           |- The departure day of Riga is Day 17. The arrival day of Krakow is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Rome, Istanbul, Venice, Athens, Riga].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Naples, London] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Riga to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Krakow (Day 23 - 26).\n             |- The departure day of Oslo is Day 19. The arrival day of Krakow is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Seville, Rome, Istanbul, Venice, Athens, Riga, Oslo].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, London] and explore these options in order.\n               |- Try arranging to visit Naples from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Oslo to Naples.\n               |- No. Drop this branch.\n               |- Try arranging to visit London from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Oslo to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Krakow (Day 23 - 26).\n               |- The departure day of London is Day 20. The arrival day of Krakow is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Seville, Rome, Istanbul, Venice, Athens, Riga, Oslo, London].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from London to Naples.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Naples from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Riga to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Riga to London.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Oslo from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Athens to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 23 - 26).\n           |- The departure day of Oslo is Day 16. The arrival day of Krakow is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Seville, Rome, Istanbul, Venice, Athens, Oslo].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Naples, London] and explore these options in order.\n             |- Try arranging to visit Riga from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Oslo to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Oslo to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Oslo to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 23 - 26).\n             |- The departure day of London is Day 17. The arrival day of Krakow is Day 23. Day 17 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Seville, Rome, Istanbul, Venice, Athens, Oslo, London].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Naples] and explore these options in order.\n               |- Try arranging to visit Riga from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from London to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from London to Naples.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Athens to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 23 - 26).\n           |- The departure day of London is Day 15. The arrival day of Krakow is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Seville, Rome, Istanbul, Venice, Athens, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Oslo, Naples] and explore these options in order.\n             |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from London to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from London to Oslo.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from London to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Venice to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 23 - 26).\n         |- The departure day of Oslo is Day 14. The arrival day of Krakow is Day 23. Day 14 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Rome, Istanbul, Venice, Oslo].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Naples, London] and explore these options in order.\n           |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Oslo to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Oslo to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Oslo to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Oslo to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 23 - 26).\n           |- The departure day of London is Day 15. The arrival day of Krakow is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Seville, Rome, Istanbul, Venice, Oslo, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Naples] and explore these options in order.\n             |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from London to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from London to Athens.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from London to Naples.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Venice to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 23 - 26).\n         |- The departure day of Naples is Day 16. The arrival day of Krakow is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Rome, Istanbul, Venice, Naples].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Athens, Oslo, London] and explore these options in order.\n           |- Try arranging to visit Riga from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Naples to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Naples to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 23 - 26).\n           |- The departure day of Athens is Day 18. The arrival day of Krakow is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Seville, Rome, Istanbul, Venice, Naples, Athens].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Oslo, London] and explore these options in order.\n             |- Try arranging to visit Riga from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Athens to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Krakow (Day 23 - 26).\n             |- The departure day of Riga is Day 21. The arrival day of Krakow is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Seville, Rome, Istanbul, Venice, Naples, Athens, Riga].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo, London] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Riga to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Krakow (Day 23 - 26).\n               |- The departure day of Oslo is Day 23. The arrival day of Krakow is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Seville, Rome, Istanbul, Venice, Naples, Athens, Riga, Oslo].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Krakow.\n                 |- Try arranging to visit Krakow from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Oslo to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Seville, Rome, Istanbul, Venice, Naples, Athens, Riga, Oslo, Krakow].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [London] and explore these options in order.\n                   |- Try arranging to visit London from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Krakow to London.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Seville, Rome, Istanbul, Venice, Naples, Athens, Riga, Oslo, Krakow, London].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Seville and visit Seville for 2 days.\n**Day 2:** Fly from Seville to Rome.\n**Day 2-6:** Visit Rome for 5 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-10:** Visit Istanbul for 5 days.\n**Day 10:** Fly from Istanbul to Venice.\n**Day 10-12:** Visit Venice for 3 days.\n**Day 12:** Fly from Venice to Naples.\n**Day 12-16:** Visit Naples for 5 days.\n**Day 16:** Fly from Naples to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Riga.\n**Day 18-21:** Visit Riga for 4 days.\n**Day 21:** Fly from Riga to Oslo.\n**Day 21-23:** Visit Oslo for 3 days.\n**Day 23:** Fly from Oslo to Krakow.\n**Day 23-26:** Visit Krakow for 4 days.\n**Day 26:** Fly from Krakow to London.\n**Day 26-27:** Visit London for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Brussels**Helsinki**Reykjavik**Oslo**Riga**Bucharest**Valencia**Berlin**Split",
    "ground_truth_durations": "4**5**2**3**5**3**5**3**5**4",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Brussels",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You plan to stay in Valencia for 3 days. You plan to stay in Split for 4 days. You want to spend 5 days in Oslo. You would like to visit Florence for 4 days. You are going to attend a wedding in Florence between day 1 and day 4. You would like to visit Brussels for 5 days. You would like to visit Reykjavik for 3 days. You plan to visit relatives in Reykjavik between day 9 and day 11. You would like to visit Helsinki for 2 days. You have to attend a workshop in Helsinki between day 8 and day 9. You would like to visit Riga for 3 days. During day 15 and day 17, you have to attend a conference in Riga. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nBrussels and Berlin, Reykjavik and Berlin, Helsinki and Reykjavik, Oslo and Bucharest, Helsinki and Riga, Helsinki and Berlin, Helsinki and Oslo, Brussels and Valencia, Brussels and Helsinki, Valencia and Berlin, Florence and Brussels, Bucharest and Valencia, Berlin and Split, Helsinki and Split, Brussels and Bucharest, Oslo and Split, Oslo and Riga, Riga and Berlin, Riga and Bucharest, Brussels and Oslo, Brussels and Reykjavik, Reykjavik and Oslo, Oslo and Berlin, Brussels and Riga.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You plan to stay in Valencia for 3 days. You plan to stay in Split for 4 days. You want to spend 5 days in Oslo. You would like to visit Florence for 4 days. You are going to attend a wedding in Florence between day 1 and day 4. You would like to visit Brussels for 5 days. You would like to visit Reykjavik for 3 days. You plan to visit relatives in Reykjavik between day 9 and day 11. You would like to visit Helsinki for 2 days. You have to attend a workshop in Helsinki between day 8 and day 9. You would like to visit Riga for 3 days. During day 15 and day 17, you have to attend a conference in Riga. You plan to stay in Bucharest for 5 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Berlin, from Reykjavik to Berlin, from Helsinki to Reykjavik, from Oslo to Bucharest, from Helsinki to Riga, from Helsinki to Berlin, from Helsinki to Oslo, from Brussels to Valencia, from Brussels to Helsinki, from Valencia to Berlin, from Florence to Brussels, from Bucharest to Valencia, from Berlin to Split, from Helsinki to Split, from Brussels to Bucharest, from Oslo to Split, from Oslo to Riga, from Riga to Berlin, from Riga to Bucharest, from Brussels to Oslo, from Brussels to Reykjavik, from Reykjavik to Oslo, from Oslo to Berlin, from Brussels to Riga.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Brussels.\n**Day 4-8:** Visit Brussels for 5 days.\n**Day 8:** Fly from Brussels to Helsinki.\n**Day 8-9:** Visit Helsinki for 2 days.\n**Day 9:** Fly from Helsinki to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.\n**Day 23:** Fly from Valencia to Berlin.\n**Day 23-27:** Visit Berlin for 5 days.\n**Day 27:** Fly from Berlin to Split.\n**Day 27-30:** Visit Split for 4 days.",
    "id": "trip_planning_example_1439",
    "estimated_output_tokens": 3704,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 15 - 17.\n* City: Bucharest, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Helsinki, Fixed Schedule: Day 8 - 9.\n* City: Reykjavik, Fixed Schedule: Day 9 - 11.\n* City: Riga, Fixed Schedule: Day 15 - 17.\n\nCities needing arrangement:\n* City: Berlin, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Brussels, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 8 - 9).\n |- The departure day of Florence is Day 4. The arrival day of Helsinki is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Split, Oslo, Brussels, Bucharest] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Florence to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 8 - 9).\n   |- The departure day of Brussels is Day 8. The arrival day of Helsinki is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Florence, Brussels].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Brussels to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 11).\n     |- The departure day of Helsinki is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Brussels, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 15 - 17).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Riga is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Florence, Brussels, Helsinki, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Split, Oslo, Bucharest] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Reykjavik to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 17).\n         |- The departure day of Berlin is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Berlin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Berlin to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Reykjavik to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 17).\n         |- The departure day of Oslo is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Oslo to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Split, Bucharest] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Riga to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Berlin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Split, Bucharest] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Berlin to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Split from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Berlin to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Berlin, Split].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest] and explore these options in order.\n                 |- Try arranging to visit Valencia from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Split to Valencia.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Bucharest from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Split to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Berlin to Bucharest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Riga to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Riga to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Riga to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Valencia, Split] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Bucharest to Berlin.\n               |- No. Drop this branch.\n               |- Try arranging to visit Valencia from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Bucharest to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Bucharest, Valencia].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Berlin, Split] and explore these options in order.\n                 |- Try arranging to visit Berlin from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Valencia to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Bucharest, Valencia, Berlin].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n                   |- Check for direct flight from Berlin to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Florence, Brussels, Helsinki, Reykjavik, Oslo, Riga, Bucharest, Valencia, Berlin, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Brussels.\n**Day 4-8:** Visit Brussels for 5 days.\n**Day 8:** Fly from Brussels to Helsinki.\n**Day 8-9:** Visit Helsinki for 2 days.\n**Day 9:** Fly from Helsinki to Reykjavik.\n**Day 9-11:** Visit Reykjavik for 3 days.\n**Day 11:** Fly from Reykjavik to Oslo.\n**Day 11-15:** Visit Oslo for 5 days.\n**Day 15:** Fly from Oslo to Riga.\n**Day 15-17:** Visit Riga for 3 days.\n**Day 17:** Fly from Riga to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.\n**Day 23:** Fly from Valencia to Berlin.\n**Day 23-27:** Visit Berlin for 5 days.\n**Day 27:** Fly from Berlin to Split.\n**Day 27-30:** Visit Split for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Hamburg**Copenhagen**Brussels**Reykjavik**Helsinki**Dubrovnik**Zurich**Valencia**Stuttgart",
    "ground_truth_durations": "2**4**5**2**4**4**2**4**4**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Brussels"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 2 days. You plan to stay in Dubrovnik for 2 days. You have to attend a workshop in Dubrovnik between day 16 and day 17. You want to spend 4 days in Zurich. You want to spend 4 days in Hamburg. You want to meet a friend in Hamburg between day 2 and day 5. You would like to visit Stuttgart for 5 days. You would like to visit Reykjavik for 4 days. During day 10 and day 13, you have to attend a conference in Reykjavik. You would like to visit Venice for 2 days. You would like to visit Copenhagen for 5 days. You are going to attend a wedding in Copenhagen between day 5 and day 9. You want to spend 4 days in Helsinki. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nHamburg and Brussels, Brussels and Reykjavik, Brussels and Helsinki, Copenhagen and Dubrovnik, Brussels and Valencia, Venice and Brussels, Brussels and Zurich, Venice and Stuttgart, Zurich and Valencia, Hamburg and Stuttgart, Dubrovnik and Zurich, Copenhagen and Reykjavik, Helsinki and Dubrovnik, Venice and Hamburg, Venice and Helsinki, Hamburg and Copenhagen, Reykjavik and Helsinki, Venice and Zurich, Copenhagen and Stuttgart, Venice and Copenhagen, Reykjavik and Zurich, Hamburg and Zurich, Helsinki and Zurich, Valencia and Stuttgart, Copenhagen and Brussels, from Reykjavik to Stuttgart, Copenhagen and Helsinki, Copenhagen and Valencia, Hamburg and Helsinki, Copenhagen and Zurich.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Brussels for 2 days. You plan to stay in Dubrovnik for 2 days. You have to attend a workshop in Dubrovnik between day 16 and day 17. You want to spend 4 days in Zurich. You want to spend 4 days in Hamburg. You want to meet a friend in Hamburg between day 2 and day 5. You would like to visit Stuttgart for 5 days. You would like to visit Reykjavik for 4 days. During day 10 and day 13, you have to attend a conference in Reykjavik. You would like to visit Venice for 2 days. You would like to visit Copenhagen for 5 days. You are going to attend a wedding in Copenhagen between day 5 and day 9. You want to spend 4 days in Helsinki. You plan to stay in Valencia for 4 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Brussels, from Brussels to Reykjavik, from Brussels to Helsinki, from Copenhagen to Dubrovnik, from Brussels to Valencia, from Venice to Brussels, from Brussels to Zurich, from Venice to Stuttgart, from Zurich to Valencia, from Hamburg to Stuttgart, from Dubrovnik to Zurich, from Copenhagen to Reykjavik, from Helsinki to Dubrovnik, from Venice to Hamburg, from Venice to Helsinki, from Hamburg to Copenhagen, from Reykjavik to Helsinki, from Venice to Zurich, from Copenhagen to Stuttgart, from Venice to Copenhagen, from Reykjavik to Zurich, from Hamburg to Zurich, from Helsinki to Zurich, from Valencia to Stuttgart, from Copenhagen to Brussels, from Reykjavik to Stuttgart, from Copenhagen to Helsinki, from Copenhagen to Valencia, from Hamburg to Helsinki, from Copenhagen to Zurich.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Brussels.\n**Day 9-10:** Visit Brussels for 2 days.\n**Day 10:** Fly from Brussels to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Dubrovnik.\n**Day 16-17:** Visit Dubrovnik for 2 days.\n**Day 17:** Fly from Dubrovnik to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Valencia.\n**Day 20-23:** Visit Valencia for 4 days.\n**Day 23:** Fly from Valencia to Stuttgart.\n**Day 23-27:** Visit Stuttgart for 5 days.",
    "id": "trip_planning_example_1440",
    "estimated_output_tokens": 3395,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Zurich, Duration: 4 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Stuttgart, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Venice, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Helsinki, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 2 - 5.\n* City: Copenhagen, Fixed Schedule: Day 5 - 9.\n* City: Reykjavik, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Zurich, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Venice, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Valencia, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Zurich, Stuttgart, Venice, Helsinki, Valencia] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Brussels is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Zurich is Day 4. The arrival day of Hamburg is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Stuttgart is Day 5. The arrival day of Hamburg is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Venice is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 5 - 9).\n   |- The departure day of Hamburg is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Hamburg to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 10 - 13).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Reykjavik is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Hamburg, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Zurich, Stuttgart, Helsinki, Valencia] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Copenhagen to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 10 - 13).\n       |- The departure day of Brussels is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Venice, Hamburg, Copenhagen, Brussels].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Brussels to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 16 - 17).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Dubrovnik is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart, Helsinki, Valencia] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 16 - 17).\n           |- The departure day of Zurich is Day 16. The arrival day of Dubrovnik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Zurich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Zurich to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 16 - 17).\n           |- The departure day of Stuttgart is Day 17. The arrival day of Dubrovnik is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 16 - 17).\n           |- The departure day of Helsinki is Day 16. The arrival day of Dubrovnik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Helsinki].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Helsinki to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Helsinki, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Zurich, Stuttgart, Valencia] and explore these options in order.\n               |- Try arranging to visit Zurich from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Dubrovnik to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Helsinki, Dubrovnik, Zurich].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Zurich to Stuttgart.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Valencia from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Zurich to Valencia.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Helsinki, Dubrovnik, Zurich, Valencia].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                   |- Try arranging to visit Stuttgart from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Valencia to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Venice, Hamburg, Copenhagen, Brussels, Reykjavik, Helsinki, Dubrovnik, Zurich, Valencia, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Copenhagen.\n**Day 5-9:** Visit Copenhagen for 5 days.\n**Day 9:** Fly from Copenhagen to Brussels.\n**Day 9-10:** Visit Brussels for 2 days.\n**Day 10:** Fly from Brussels to Reykjavik.\n**Day 10-13:** Visit Reykjavik for 4 days.\n**Day 13:** Fly from Reykjavik to Helsinki.\n**Day 13-16:** Visit Helsinki for 4 days.\n**Day 16:** Fly from Helsinki to Dubrovnik.\n**Day 16-17:** Visit Dubrovnik for 2 days.\n**Day 17:** Fly from Dubrovnik to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Valencia.\n**Day 20-23:** Visit Valencia for 4 days.\n**Day 23:** Fly from Valencia to Stuttgart.\n**Day 23-27:** Visit Stuttgart for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Vienna**Venice**Berlin**Zurich**Dubrovnik**Stockholm**Stuttgart**Valencia**Lyon",
    "ground_truth_durations": "3**4**3**2**3**5**4**3**5**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Vienna",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Berlin. You want to spend 3 days in Stuttgart. You would like to visit Zurich for 3 days. You plan to visit relatives in Zurich between day 9 and day 11. You would like to visit Stockholm for 4 days. You plan to stay in Lyon for 2 days. You want to spend 3 days in Venice. You would like to meet your friends at Venice between day 6 and day 8 to tour together. You plan to stay in Mykonos for 3 days. From day 1 to day 3, there is a annual show you want to attend in Mykonos. You want to spend 5 days in Valencia. You want to meet a friend in Valencia between day 20 and day 24. You want to spend 4 days in Vienna. You would like to visit Dubrovnik for 5 days.\n\nHere are the cities that have direct flights:\nZurich and Valencia, Valencia and Lyon, Zurich and Stockholm, Vienna and Dubrovnik, Venice and Zurich, Berlin and Valencia, Dubrovnik and Stockholm, Vienna and Berlin, Venice and Berlin, Zurich and Dubrovnik, Vienna and Lyon, Venice and Lyon, Vienna and Stuttgart, Vienna and Zurich, Berlin and Zurich, Vienna and Valencia, Berlin and Stuttgart, Vienna and Venice, Stockholm and Stuttgart, Mykonos and Zurich, Mykonos and Vienna, Berlin and Stockholm, Venice and Stuttgart, Stuttgart and Valencia, Vienna and Stockholm.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Berlin. You want to spend 3 days in Stuttgart. You would like to visit Zurich for 3 days. You plan to visit relatives in Zurich between day 9 and day 11. You would like to visit Stockholm for 4 days. You plan to stay in Lyon for 2 days. You want to spend 3 days in Venice. You would like to meet your friends at Venice between day 6 and day 8 to tour together. You plan to stay in Mykonos for 3 days. From day 1 to day 3, there is a annual show you want to attend in Mykonos. You want to spend 5 days in Valencia. You want to meet a friend in Valencia between day 20 and day 24. You want to spend 4 days in Vienna. You would like to visit Dubrovnik for 5 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Valencia, from Valencia to Lyon, from Zurich to Stockholm, from Vienna to Dubrovnik, from Venice to Zurich, from Berlin to Valencia, from Dubrovnik to Stockholm, from Vienna to Berlin, from Venice to Berlin, from Zurich to Dubrovnik, from Vienna to Lyon, from Venice to Lyon, from Vienna to Stuttgart, from Vienna to Zurich, from Berlin to Zurich, from Vienna to Valencia, from Berlin to Stuttgart, from Vienna to Venice, from Stockholm to Stuttgart, from Mykonos to Zurich, from Mykonos to Vienna, from Berlin to Stockholm, from Venice to Stuttgart, from Stuttgart to Valencia, from Vienna to Stockholm.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Berlin.\n**Day 8-9:** Visit Berlin for 2 days.\n**Day 9:** Fly from Berlin to Zurich.\n**Day 9-11:** Visit Zurich for 3 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-15:** Visit Dubrovnik for 5 days.\n**Day 15:** Fly from Dubrovnik to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-24:** Visit Valencia for 5 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-25:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1441",
    "estimated_output_tokens": 3500,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Stockholm, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Vienna, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 6 - 8.\n* City: Zurich, Fixed Schedule: Day 9 - 11.\n* City: Valencia, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Berlin, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Vienna, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 8).\n |- The departure day of Mykonos is Day 3. The arrival day of Venice is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Stuttgart, Stockholm, Lyon, Vienna, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Mykonos to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Mykonos to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Mykonos to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 8).\n   |- The departure day of Vienna is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vienna to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 9 - 11).\n     |- The departure day of Venice is Day 8. The arrival day of Zurich is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Mykonos, Vienna, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Berlin, Stuttgart, Stockholm, Lyon, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Berlin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Zurich (Day 9 - 11).\n       |- The departure day of Berlin is Day 9. The arrival day of Zurich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Mykonos, Vienna, Venice, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 20 - 24).\n         |- The departure day of Zurich is Day 11. The arrival day of Valencia is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm, Lyon, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Zurich to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Zurich to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 20 - 24).\n           |- The departure day of Stockholm is Day 14. The arrival day of Valencia is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Stockholm].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lyon, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Stockholm to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 20 - 24).\n             |- The departure day of Stuttgart is Day 16. The arrival day of Valencia is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Stockholm, Stuttgart].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Stuttgart to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Stuttgart to Dubrovnik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Stockholm to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Stockholm to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lyon from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Zurich to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Zurich to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 20 - 24).\n           |- The departure day of Dubrovnik is Day 15. The arrival day of Valencia is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm, Lyon] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Dubrovnik to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Dubrovnik to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 20 - 24).\n             |- The departure day of Stockholm is Day 18. The arrival day of Valencia is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Dubrovnik, Stockholm].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Lyon] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Stockholm to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Valencia (Day 20 - 24).\n               |- The departure day of Stuttgart is Day 20. The arrival day of Valencia is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Dubrovnik, Stockholm, Stuttgart].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Valencia.\n                 |- Try arranging to visit Valencia from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Stuttgart to Valencia.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Dubrovnik, Stockholm, Stuttgart, Valencia].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                   |- Try arranging to visit Lyon from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Valencia to Lyon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Mykonos, Vienna, Venice, Berlin, Zurich, Dubrovnik, Stockholm, Stuttgart, Valencia, Lyon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Mykonos and visit Mykonos for 3 days.\n**Day 3:** Fly from Mykonos to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Berlin.\n**Day 8-9:** Visit Berlin for 2 days.\n**Day 9:** Fly from Berlin to Zurich.\n**Day 9-11:** Visit Zurich for 3 days.\n**Day 11:** Fly from Zurich to Dubrovnik.\n**Day 11-15:** Visit Dubrovnik for 5 days.\n**Day 15:** Fly from Dubrovnik to Stockholm.\n**Day 15-18:** Visit Stockholm for 4 days.\n**Day 18:** Fly from Stockholm to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-24:** Visit Valencia for 5 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-25:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Paris**Prague**Riga**Tallinn**Vilnius**Istanbul**Venice**Zurich**Dubrovnik",
    "ground_truth_durations": "5**5**3**5**2**3**3**2**4**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 20,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Riga",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You want to spend 4 days in Zurich. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 5 and day 9. You would like to visit Dubrovnik for 2 days. You would like to visit Prague for 3 days. You would like to visit Seville for 5 days. You would like to visit Tallinn for 2 days. You have to attend a workshop in Tallinn between day 15 and day 16. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 11 and day 15. You plan to stay in Vilnius for 3 days. You would like to visit Venice for 2 days. During day 20 and day 21, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, Riga and Istanbul, Prague and Tallinn, Paris and Istanbul, from Dubrovnik to Istanbul, from Istanbul to Tallinn, Istanbul and Zurich, Zurich and Dubrovnik, Paris and Vilnius, Paris and Riga, from Tallinn to Vilnius, Paris and Zurich, Paris and Prague, Vilnius and Istanbul, Prague and Riga, Prague and Istanbul, from Riga to Vilnius, Paris and Venice, Tallinn and Zurich, Vilnius and Zurich, Prague and Zurich, Seville and Paris, Istanbul and Venice, Venice and Zurich, Paris and Tallinn, Riga and Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 3 days. You want to spend 4 days in Zurich. You want to spend 5 days in Paris. You want to meet a friend in Paris between day 5 and day 9. You would like to visit Dubrovnik for 2 days. You would like to visit Prague for 3 days. You would like to visit Seville for 5 days. You would like to visit Tallinn for 2 days. You have to attend a workshop in Tallinn between day 15 and day 16. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 11 and day 15. You plan to stay in Vilnius for 3 days. You would like to visit Venice for 2 days. During day 20 and day 21, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nfrom Riga to Tallinn, from Riga to Istanbul, from Prague to Tallinn, from Paris to Istanbul, from Dubrovnik to Istanbul, from Istanbul to Tallinn, from Istanbul to Zurich, from Zurich to Dubrovnik, from Paris to Vilnius, from Paris to Riga, from Tallinn to Vilnius, from Paris to Zurich, from Paris to Prague, from Vilnius to Istanbul, from Prague to Riga, from Prague to Istanbul, from Riga to Vilnius, from Paris to Venice, from Tallinn to Zurich, from Vilnius to Zurich, from Prague to Zurich, from Seville to Paris, from Istanbul to Venice, from Venice to Zurich, from Paris to Tallinn, from Riga to Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Istanbul.\n**Day 18-20:** Visit Istanbul for 3 days.\n**Day 20:** Fly from Istanbul to Venice.\n**Day 20-21:** Visit Venice for 2 days.\n**Day 21:** Fly from Venice to Zurich.\n**Day 21-24:** Visit Zurich for 4 days.\n**Day 24:** Fly from Zurich to Dubrovnik.\n**Day 24-25:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1442",
    "estimated_output_tokens": 6452,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dubrovnik, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Vilnius, Duration: 3 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 5 - 9.\n* City: Riga, Fixed Schedule: Day 11 - 15.\n* City: Tallinn, Fixed Schedule: Day 15 - 16.\n* City: Venice, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Dubrovnik, Prague, Seville, Vilnius] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Istanbul is Day 3. The arrival day of Paris is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik, Prague, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Istanbul to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 5 - 9).\n   |- The departure day of Zurich is Day 6. The arrival day of Paris is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Istanbul to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Istanbul to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Istanbul to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Zurich is Day 4. The arrival day of Paris is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Prague, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Zurich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 5 - 9).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Dubrovnik to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Dubrovnik is Day 2. The arrival day of Paris is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Prague, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 5 - 9).\n   |- The departure day of Istanbul is Day 4. The arrival day of Paris is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Dubrovnik, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Prague, Seville, Vilnius] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Istanbul to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 5 - 9).\n     |- The departure day of Zurich is Day 7. The arrival day of Paris is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Dubrovnik to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Dubrovnik to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Dubrovnik to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Prague is Day 3. The arrival day of Paris is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Dubrovnik, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 5 - 9).\n   |- The departure day of Istanbul is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Istanbul to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 5 - 9).\n   |- The departure day of Zurich is Day 6. The arrival day of Paris is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 5 - 9).\n |- The departure day of Seville is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 11 - 15).\n   |- The departure day of Paris is Day 9. The arrival day of Riga is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Seville, Paris].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Dubrovnik, Prague, Vilnius] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Paris to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 11 - 15).\n     |- The departure day of Istanbul is Day 11. The arrival day of Riga is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Paris, Istanbul].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Istanbul to Riga.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Paris to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 11 - 15).\n     |- The departure day of Zurich is Day 12. The arrival day of Riga is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Paris to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 11 - 15).\n     |- The departure day of Prague is Day 11. The arrival day of Riga is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Paris, Prague].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Riga.\n       |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Prague to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 15 - 16).\n       |- The departure day of Riga is Day 15. The arrival day of Tallinn is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Paris, Prague, Riga].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Venice (Day 20 - 21).\n         |- The departure day of Tallinn is Day 16. The arrival day of Venice is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Paris, Prague, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Dubrovnik, Vilnius] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Tallinn to Istanbul.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Tallinn to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 20 - 21).\n           |- The departure day of Zurich is Day 19. The arrival day of Venice is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Zurich].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Vilnius] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Zurich to Istanbul.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Zurich to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Venice (Day 20 - 21).\n             |- The departure day of Dubrovnik is Day 20. The arrival day of Venice is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Zurich, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Venice.\n               |- Try arranging to visit Venice from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Dubrovnik to Venice.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Zurich to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Tallinn to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Venice (Day 20 - 21).\n           |- The departure day of Vilnius is Day 18. The arrival day of Venice is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Vilnius].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Zurich, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Vilnius to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Venice (Day 20 - 21).\n             |- The departure day of Istanbul is Day 20. The arrival day of Venice is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Vilnius, Istanbul].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Venice.\n               |- Try arranging to visit Venice from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Istanbul to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Vilnius, Istanbul, Venice].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Venice to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Vilnius, Istanbul, Venice, Zurich].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Zurich to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Seville, Paris, Prague, Riga, Tallinn, Vilnius, Istanbul, Venice, Zurich, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-9:** Visit Paris for 5 days.\n**Day 9:** Fly from Paris to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Tallinn.\n**Day 15-16:** Visit Tallinn for 2 days.\n**Day 16:** Fly from Tallinn to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Istanbul.\n**Day 18-20:** Visit Istanbul for 3 days.\n**Day 20:** Fly from Istanbul to Venice.\n**Day 20-21:** Visit Venice for 2 days.\n**Day 21:** Fly from Venice to Zurich.\n**Day 21-24:** Visit Zurich for 4 days.\n**Day 24:** Fly from Zurich to Dubrovnik.\n**Day 24-25:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**London**Barcelona**Edinburgh**Helsinki**Split**Naples**Stuttgart**Stockholm**Santorini",
    "ground_truth_durations": "5**4**4**5**2**3**3**5**2**2",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "London",
        "Naples"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Helsinki",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Naples",
        "Stuttgart"
      ],
      [
        "Edinburgh",
        "Stuttgart"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Amsterdam",
        "Barcelona"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You plan to visit relatives in Naples between day 18 and day 20. You plan to stay in Santorini for 2 days. You plan to stay in Amsterdam for 5 days. You would like to meet your friends at Amsterdam between day 1 and day 5 to tour together. You want to spend 4 days in London. You are going to attend a wedding in London between day 5 and day 8. You plan to stay in Split for 3 days. You want to spend 2 days in Helsinki. During day 15 and day 16, you have to attend a conference in Helsinki. You plan to stay in Barcelona for 4 days. From day 8 to day 11, there is a annual show you want to attend in Barcelona. You plan to stay in Edinburgh for 5 days. You plan to stay in Stuttgart for 5 days. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nLondon and Naples, Edinburgh and Stockholm, Helsinki and Stockholm, Barcelona and Santorini, Barcelona and Split, Naples and Stuttgart, Edinburgh and Stuttgart, London and Edinburgh, Split and Naples, Amsterdam and Naples, Barcelona and Stockholm, Barcelona and Naples, London and Stuttgart, Stuttgart and Stockholm, Amsterdam and Split, London and Barcelona, Split and Stuttgart, Split and Stockholm, Amsterdam and Stuttgart, Amsterdam and Santorini, Helsinki and Split, Edinburgh and Helsinki, Helsinki and Naples, Amsterdam and Barcelona, Amsterdam and Stockholm, London and Helsinki, London and Split, Amsterdam and London, London and Stockholm, from Stockholm to Santorini, Naples and Santorini, Barcelona and Helsinki, Amsterdam and Helsinki, London and Santorini, Barcelona and Edinburgh, Amsterdam and Edinburgh, Barcelona and Stuttgart.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 3 days. You plan to visit relatives in Naples between day 18 and day 20. You plan to stay in Santorini for 2 days. You plan to stay in Amsterdam for 5 days. You would like to meet your friends at Amsterdam between day 1 and day 5 to tour together. You want to spend 4 days in London. You are going to attend a wedding in London between day 5 and day 8. You plan to stay in Split for 3 days. You want to spend 2 days in Helsinki. During day 15 and day 16, you have to attend a conference in Helsinki. You plan to stay in Barcelona for 4 days. From day 8 to day 11, there is a annual show you want to attend in Barcelona. You plan to stay in Edinburgh for 5 days. You plan to stay in Stuttgart for 5 days. You want to spend 2 days in Stockholm.\n\nHere are the cities that have direct flights:\nfrom London to Naples, from Edinburgh to Stockholm, from Helsinki to Stockholm, from Barcelona to Santorini, from Barcelona to Split, from Naples to Stuttgart, from Edinburgh to Stuttgart, from London to Edinburgh, from Split to Naples, from Amsterdam to Naples, from Barcelona to Stockholm, from Barcelona to Naples, from London to Stuttgart, from Stuttgart to Stockholm, from Amsterdam to Split, from London to Barcelona, from Split to Stuttgart, from Split to Stockholm, from Amsterdam to Stuttgart, from Amsterdam to Santorini, from Helsinki to Split, from Edinburgh to Helsinki, from Helsinki to Naples, from Amsterdam to Barcelona, from Amsterdam to Stockholm, from London to Helsinki, from London to Split, from Amsterdam to London, from London to Stockholm, from Stockholm to Santorini, from Naples to Santorini, from Barcelona to Helsinki, from Amsterdam to Helsinki, from London to Santorini, from Barcelona to Edinburgh, from Amsterdam to Edinburgh, from Barcelona to Stuttgart.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Barcelona.\n**Day 8-11:** Visit Barcelona for 4 days.\n**Day 11:** Fly from Barcelona to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-16:** Visit Helsinki for 2 days.\n**Day 16:** Fly from Helsinki to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Stuttgart.\n**Day 20-24:** Visit Stuttgart for 5 days.\n**Day 24:** Fly from Stuttgart to Stockholm.\n**Day 24-25:** Visit Stockholm for 2 days.\n**Day 25:** Fly from Stockholm to Santorini.\n**Day 25-26:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1443",
    "estimated_output_tokens": 4222,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Santorini, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Split, Duration: 3 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Edinburgh, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 5.\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Fixed Schedule: Day 8 - 11.\n* City: Helsinki, Fixed Schedule: Day 15 - 16.\n* City: Naples, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Amsterdam is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Amsterdam to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 8 - 11).\n   |- The departure day of London is Day 8. The arrival day of Barcelona is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Amsterdam, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from London to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 15 - 16).\n     |- The departure day of Barcelona is Day 11. The arrival day of Helsinki is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Amsterdam, London, Barcelona].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Edinburgh, Stuttgart, Stockholm] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Barcelona to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 15 - 16).\n       |- The departure day of Santorini is Day 12. The arrival day of Helsinki is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Amsterdam, London, Barcelona, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Edinburgh, Stuttgart, Stockholm] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Santorini to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Santorini to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Barcelona to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 15 - 16).\n       |- The departure day of Split is Day 13. The arrival day of Helsinki is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Amsterdam, London, Barcelona, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Stuttgart, Stockholm] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Split to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Split to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 15 - 16).\n         |- The departure day of Stuttgart is Day 17. The arrival day of Helsinki is Day 15. Day 17 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 15 - 16).\n         |- The departure day of Stockholm is Day 14. The arrival day of Helsinki is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, London, Barcelona, Split, Stockholm].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Helsinki (Day 15 - 16).\n           |- The departure day of Santorini is Day 15. The arrival day of Helsinki is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Amsterdam, London, Barcelona, Split, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Santorini to Helsinki.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stockholm to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Stockholm to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Barcelona to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 15 - 16).\n       |- The departure day of Edinburgh is Day 15. The arrival day of Helsinki is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Amsterdam, London, Barcelona, Edinburgh].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Helsinki.\n         |- Try arranging to visit Helsinki from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Edinburgh to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Naples (Day 18 - 20).\n         |- The departure day of Helsinki is Day 16. The arrival day of Naples is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Split, Stuttgart, Stockholm] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Helsinki to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Helsinki to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 18 - 20).\n           |- The departure day of Split is Day 18. The arrival day of Naples is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Naples.\n             |- Try arranging to visit Naples from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Split to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split, Naples].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Stuttgart, Stockholm] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Naples to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split, Naples, Santorini].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart, Stockholm] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Santorini to Stuttgart.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Stockholm from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Santorini to Stockholm.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Naples to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split, Naples, Stuttgart].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini, Stockholm] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Stuttgart to Santorini.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Stockholm from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Stuttgart to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split, Naples, Stuttgart, Stockholm].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                   |- Check for direct flight from Stockholm to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Amsterdam, London, Barcelona, Edinburgh, Helsinki, Split, Naples, Stuttgart, Stockholm, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Amsterdam and visit Amsterdam for 5 days.\n**Day 5:** Fly from Amsterdam to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Barcelona.\n**Day 8-11:** Visit Barcelona for 4 days.\n**Day 11:** Fly from Barcelona to Edinburgh.\n**Day 11-15:** Visit Edinburgh for 5 days.\n**Day 15:** Fly from Edinburgh to Helsinki.\n**Day 15-16:** Visit Helsinki for 2 days.\n**Day 16:** Fly from Helsinki to Split.\n**Day 16-18:** Visit Split for 3 days.\n**Day 18:** Fly from Split to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Stuttgart.\n**Day 20-24:** Visit Stuttgart for 5 days.\n**Day 24:** Fly from Stuttgart to Stockholm.\n**Day 24-25:** Visit Stockholm for 2 days.\n**Day 25:** Fly from Stockholm to Santorini.\n**Day 25-26:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Rome**Edinburgh**Brussels**Florence**Amsterdam**Dubrovnik**Manchester**Warsaw**Split",
    "ground_truth_durations": "4**4**4**3**2**5**2**3**5**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Manchester"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Rome",
        "Brussels"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Manchester. From day 18 to day 20, there is a annual show you want to attend in Manchester. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 20 and day 24. You would like to visit Edinburgh for 4 days. You would like to meet your friends at Edinburgh between day 7 and day 10 to tour together. You would like to visit Rome for 4 days. You plan to stay in Split for 5 days. You plan to stay in Dubrovnik for 2 days. You plan to stay in Brussels for 3 days. During day 10 and day 12, you have to attend a conference in Brussels. You want to spend 5 days in Amsterdam. You plan to stay in Florence for 2 days. You would like to visit Naples for 4 days. You are going to attend a wedding in Naples between day 1 and day 4.\n\nHere are the cities that have direct flights:\nRome and Manchester, Brussels and Warsaw, Naples and Warsaw, Amsterdam and Manchester, Amsterdam and Split, Naples and Split, Manchester and Warsaw, Rome and Dubrovnik, Warsaw and Split, Rome and Edinburgh, Amsterdam and Warsaw, Rome and Amsterdam, Naples and Rome, from Manchester to Split, Rome and Warsaw, Naples and Brussels, Edinburgh and Brussels, Rome and Brussels, Rome and Split, Naples and Amsterdam, Naples and Dubrovnik, Edinburgh and Amsterdam, Brussels and Florence, Naples and Manchester, Brussels and Manchester, Florence and Amsterdam, Dubrovnik and Manchester, Amsterdam and Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Manchester. From day 18 to day 20, there is a annual show you want to attend in Manchester. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 20 and day 24. You would like to visit Edinburgh for 4 days. You would like to meet your friends at Edinburgh between day 7 and day 10 to tour together. You would like to visit Rome for 4 days. You plan to stay in Split for 5 days. You plan to stay in Dubrovnik for 2 days. You plan to stay in Brussels for 3 days. During day 10 and day 12, you have to attend a conference in Brussels. You want to spend 5 days in Amsterdam. You plan to stay in Florence for 2 days. You would like to visit Naples for 4 days. You are going to attend a wedding in Naples between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Rome to Manchester, from Brussels to Warsaw, from Naples to Warsaw, from Amsterdam to Manchester, from Amsterdam to Split, from Naples to Split, from Manchester to Warsaw, from Rome to Dubrovnik, from Warsaw to Split, from Rome to Edinburgh, from Amsterdam to Warsaw, from Rome to Amsterdam, from Naples to Rome, from Manchester to Split, from Rome to Warsaw, from Naples to Brussels, from Edinburgh to Brussels, from Rome to Brussels, from Rome to Split, from Naples to Amsterdam, from Naples to Dubrovnik, from Edinburgh to Amsterdam, from Brussels to Florence, from Naples to Manchester, from Brussels to Manchester, from Florence to Amsterdam, from Dubrovnik to Manchester, from Amsterdam to Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.\n**Day 17:** Fly from Amsterdam to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Manchester.\n**Day 18-20:** Visit Manchester for 3 days.\n**Day 20:** Fly from Manchester to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Split.\n**Day 24-28:** Visit Split for 5 days.",
    "id": "trip_planning_example_1444",
    "estimated_output_tokens": 2863,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Rome, Duration: 4 days.\n* City: Split, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Amsterdam, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Fixed Schedule: Day 7 - 10.\n* City: Brussels, Fixed Schedule: Day 10 - 12.\n* City: Manchester, Fixed Schedule: Day 18 - 20.\n* City: Warsaw, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Rome, Duration: 4 days.\n* City: Split, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 7 - 10).\n |- The departure day of Naples is Day 4. The arrival day of Edinburgh is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Rome, Split, Dubrovnik, Amsterdam, Florence] and explore these options in order.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Naples to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Edinburgh (Day 7 - 10).\n   |- The departure day of Rome is Day 7. The arrival day of Edinburgh is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Naples, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Rome to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 10 - 12).\n     |- The departure day of Edinburgh is Day 10. The arrival day of Brussels is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Naples, Rome, Edinburgh].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Edinburgh to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 18 - 20).\n       |- The departure day of Brussels is Day 12. The arrival day of Manchester is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, Rome, Edinburgh, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Amsterdam, Florence] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Brussels to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Brussels to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 18 - 20).\n         |- The departure day of Florence is Day 13. The arrival day of Manchester is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Florence to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Florence to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Florence to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 18 - 20).\n           |- The departure day of Amsterdam is Day 17. The arrival day of Manchester is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence, Amsterdam].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Amsterdam to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Manchester (Day 18 - 20).\n             |- The departure day of Split is Day 21. The arrival day of Manchester is Day 18. Day 21 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Manchester (Day 18 - 20).\n             |- The departure day of Dubrovnik is Day 18. The arrival day of Manchester is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence, Amsterdam, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Manchester.\n               |- Try arranging to visit Manchester from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Dubrovnik to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Warsaw (Day 20 - 24).\n               |- The departure day of Manchester is Day 20. The arrival day of Warsaw is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence, Amsterdam, Dubrovnik, Manchester].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Manchester to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence, Amsterdam, Dubrovnik, Manchester, Warsaw].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Warsaw to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Naples, Rome, Edinburgh, Brussels, Florence, Amsterdam, Dubrovnik, Manchester, Warsaw, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Edinburgh.\n**Day 7-10:** Visit Edinburgh for 4 days.\n**Day 10:** Fly from Edinburgh to Brussels.\n**Day 10-12:** Visit Brussels for 3 days.\n**Day 12:** Fly from Brussels to Florence.\n**Day 12-13:** Visit Florence for 2 days.\n**Day 13:** Fly from Florence to Amsterdam.\n**Day 13-17:** Visit Amsterdam for 5 days.\n**Day 17:** Fly from Amsterdam to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Manchester.\n**Day 18-20:** Visit Manchester for 3 days.\n**Day 20:** Fly from Manchester to Warsaw.\n**Day 20-24:** Visit Warsaw for 5 days.\n**Day 24:** Fly from Warsaw to Split.\n**Day 24-28:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Reykjavik**Athens**Warsaw**Porto**Valencia**Krakow**Helsinki**Berlin**Salzburg",
    "ground_truth_durations": "3**4**3**5**4**2**5**2**2**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Nice",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Krakow",
        "Berlin"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Nice",
        "Porto"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Porto",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 3 days. From day 1 to day 3, there is a annual show you want to attend in Nice. You want to spend 4 days in Porto. You plan to stay in Athens for 3 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Berlin for 2 days. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 15 and day 16 to tour together. You would like to visit Helsinki for 2 days. You would like to visit Warsaw for 5 days. You would like to visit Krakow for 5 days. You plan to stay in Salzburg for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Warsaw, Reykjavik and Berlin, Reykjavik and Warsaw, Warsaw and Krakow, Nice and Athens, Krakow and Helsinki, Nice and Warsaw, from Valencia to Athens, Nice and Reykjavik, Nice and Helsinki, Warsaw and Porto, Porto and Berlin, Reykjavik and Helsinki, Nice and Berlin, Athens and Berlin, Helsinki and Berlin, Krakow and Berlin, Warsaw and Helsinki, from Reykjavik to Athens, Warsaw and Berlin, Berlin and Salzburg, Warsaw and Valencia, Valencia and Krakow, Nice and Porto, Valencia and Berlin, Porto and Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 3 days. From day 1 to day 3, there is a annual show you want to attend in Nice. You want to spend 4 days in Porto. You plan to stay in Athens for 3 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Berlin for 2 days. You plan to stay in Valencia for 2 days. You would like to meet your friends at Valencia between day 15 and day 16 to tour together. You would like to visit Helsinki for 2 days. You would like to visit Warsaw for 5 days. You would like to visit Krakow for 5 days. You plan to stay in Salzburg for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Warsaw, from Reykjavik to Berlin, from Reykjavik to Warsaw, from Warsaw to Krakow, from Nice to Athens, from Krakow to Helsinki, from Nice to Warsaw, from Valencia to Athens, from Nice to Reykjavik, from Nice to Helsinki, from Warsaw to Porto, from Porto to Berlin, from Reykjavik to Helsinki, from Nice to Berlin, from Athens to Berlin, from Helsinki to Berlin, from Krakow to Berlin, from Warsaw to Helsinki, from Reykjavik to Athens, from Warsaw to Berlin, from Berlin to Salzburg, from Warsaw to Valencia, from Valencia to Krakow, from Nice to Porto, from Valencia to Berlin, from Porto to Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-16:** Visit Valencia for 2 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.\n**Day 20:** Fly from Krakow to Helsinki.\n**Day 20-21:** Visit Helsinki for 2 days.\n**Day 21:** Fly from Helsinki to Berlin.\n**Day 21-22:** Visit Berlin for 2 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1445",
    "estimated_output_tokens": 12159,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Porto, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Helsinki, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 3.\n* City: Valencia, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: Porto, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Helsinki, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 15 - 16).\n |- The departure day of Nice is Day 3. The arrival day of Valencia is Day 15. Day 3 is not later than (<=) Day 15. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Athens, Reykjavik, Berlin, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 15 - 16).\n   |- The departure day of Porto is Day 6. The arrival day of Valencia is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Porto].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik, Berlin, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Porto to Athens.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Porto to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Porto to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 15 - 16).\n     |- The departure day of Berlin is Day 7. The arrival day of Valencia is Day 15. Day 7 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Nice, Porto, Berlin].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n       |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Berlin to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Berlin to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Berlin to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Berlin to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Berlin to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Berlin to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 15 - 16).\n       |- The departure day of Salzburg is Day 9. The arrival day of Valencia is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Porto, Berlin, Salzburg].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Reykjavik, Helsinki, Warsaw, Krakow] and explore these options in order.\n         |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Salzburg to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Salzburg to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Salzburg to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Salzburg to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Salzburg to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Porto to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Porto to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Porto to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Porto to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Nice to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 15 - 16).\n   |- The departure day of Athens is Day 5. The arrival day of Valencia is Day 15. Day 5 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 15 - 16).\n     |- The departure day of Berlin is Day 6. The arrival day of Valencia is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Athens, Berlin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n       |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Berlin to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Berlin to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Berlin to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Berlin to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Berlin to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Berlin to Salzburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 15 - 16).\n       |- The departure day of Salzburg is Day 8. The arrival day of Valencia is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Nice, Athens, Berlin, Salzburg].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Helsinki, Warsaw, Krakow] and explore these options in order.\n         |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Salzburg to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Salzburg to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Salzburg to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Salzburg to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Salzburg to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Athens to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Athens to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 15 - 16).\n     |- The departure day of Warsaw is Day 9. The arrival day of Valencia is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Nice, Athens, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin, Helsinki, Krakow, Salzburg] and explore these options in order.\n       |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 16).\n       |- The departure day of Porto is Day 12. The arrival day of Valencia is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Nice, Athens, Warsaw, Porto].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Berlin, Helsinki, Krakow, Salzburg] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Porto to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 15 - 16).\n         |- The departure day of Berlin is Day 13. The arrival day of Valencia is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Nice, Athens, Warsaw, Porto, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Krakow, Salzburg] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Berlin to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Berlin to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 15 - 16).\n           |- The departure day of Salzburg is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Nice, Athens, Warsaw, Porto, Berlin, Salzburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Salzburg to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Porto to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Porto to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Porto to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 16).\n       |- The departure day of Berlin is Day 10. The arrival day of Valencia is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Nice, Athens, Warsaw, Berlin].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Helsinki, Krakow, Salzburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Berlin to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Berlin to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Berlin to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Berlin to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 15 - 16).\n         |- The departure day of Salzburg is Day 12. The arrival day of Valencia is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Nice, Athens, Warsaw, Berlin, Salzburg].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Helsinki, Krakow] and explore these options in order.\n           |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Salzburg to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Salzburg to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Salzburg to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Salzburg to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 16).\n       |- The departure day of Helsinki is Day 10. The arrival day of Valencia is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Nice, Athens, Warsaw, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin, Krakow, Salzburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Helsinki to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Helsinki to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 15 - 16).\n         |- The departure day of Berlin is Day 11. The arrival day of Valencia is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Nice, Athens, Warsaw, Helsinki, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Krakow, Salzburg] and explore these options in order.\n           |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Berlin to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Berlin to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 15 - 16).\n           |- The departure day of Salzburg is Day 13. The arrival day of Valencia is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Nice, Athens, Warsaw, Helsinki, Berlin, Salzburg].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Krakow] and explore these options in order.\n             |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Salzburg to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Salzburg to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Salzburg to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Helsinki to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 16).\n       |- The departure day of Krakow is Day 13. The arrival day of Valencia is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Athens, Warsaw, Krakow].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin, Helsinki, Salzburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Krakow to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Krakow to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Krakow to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 15 - 16).\n         |- The departure day of Berlin is Day 14. The arrival day of Valencia is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Nice, Athens, Warsaw, Krakow, Berlin].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Helsinki, Salzburg] and explore these options in order.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Berlin to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Berlin to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 15 - 16).\n           |- The departure day of Salzburg is Day 16. The arrival day of Valencia is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Krakow to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 15 - 16).\n         |- The departure day of Helsinki is Day 14. The arrival day of Valencia is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Nice, Athens, Warsaw, Krakow, Helsinki].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Reykjavik, Berlin, Salzburg] and explore these options in order.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Helsinki to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Helsinki to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Helsinki to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 15 - 16).\n           |- The departure day of Berlin is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Nice, Athens, Warsaw, Krakow, Helsinki, Berlin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Berlin to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Helsinki to Salzburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Krakow to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Salzburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Athens to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Athens to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Nice to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 15 - 16).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Valencia is Day 15. Day 6 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Nice, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Athens, Berlin, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Reykjavik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 15 - 16).\n     |- The departure day of Athens is Day 8. The arrival day of Valencia is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Nice, Reykjavik, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Berlin, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n       |- Try arranging to visit Porto from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Athens to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 15 - 16).\n       |- The departure day of Berlin is Day 9. The arrival day of Valencia is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Reykjavik, Athens, Berlin].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki, Warsaw, Krakow, Salzburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Berlin to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Berlin to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Berlin to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Berlin to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 15 - 16).\n         |- The departure day of Salzburg is Day 11. The arrival day of Valencia is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Nice, Reykjavik, Athens, Berlin, Salzburg].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki, Warsaw, Krakow] and explore these options in order.\n           |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Salzburg to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Salzburg to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Salzburg to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Salzburg to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Athens to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 15 - 16).\n       |- The departure day of Warsaw is Day 12. The arrival day of Valencia is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Nice, Reykjavik, Athens, Warsaw].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Berlin, Helsinki, Krakow, Salzburg] and explore these options in order.\n         |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Warsaw to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 15 - 16).\n         |- The departure day of Porto is Day 15. The arrival day of Valencia is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Helsinki, Krakow, Salzburg] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Valencia to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Berlin].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki, Krakow, Salzburg] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Berlin to Helsinki.\n               |- No. Drop this branch.\n               |- Try arranging to visit Krakow from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Berlin to Krakow.\n               |- No. Drop this branch.\n               |- Try arranging to visit Salzburg from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Berlin to Salzburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Berlin, Salzburg].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Helsinki, Krakow] and explore these options in order.\n                 |- Try arranging to visit Helsinki from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Salzburg to Helsinki.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Krakow from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Salzburg to Krakow.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Valencia to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Valencia to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Helsinki, Salzburg] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Krakow to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow, Berlin].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Helsinki, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Helsinki from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Berlin to Helsinki.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Salzburg from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Berlin to Salzburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow, Berlin, Salzburg].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n                   |- Try arranging to visit Helsinki from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                   |- Check for direct flight from Salzburg to Helsinki.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Helsinki from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Krakow to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow, Helsinki].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Berlin from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Helsinki to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow, Helsinki, Berlin].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Berlin to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Nice, Reykjavik, Athens, Warsaw, Porto, Valencia, Krakow, Helsinki, Berlin, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Nice and visit Nice for 3 days.\n**Day 3:** Fly from Nice to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Warsaw.\n**Day 8-12:** Visit Warsaw for 5 days.\n**Day 12:** Fly from Warsaw to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Valencia.\n**Day 15-16:** Visit Valencia for 2 days.\n**Day 16:** Fly from Valencia to Krakow.\n**Day 16-20:** Visit Krakow for 5 days.\n**Day 20:** Fly from Krakow to Helsinki.\n**Day 20-21:** Visit Helsinki for 2 days.\n**Day 21:** Fly from Helsinki to Berlin.\n**Day 21-22:** Visit Berlin for 2 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Hamburg**Budapest**Berlin**Valencia**Lyon**Frankfurt**Edinburgh**Helsinki**Vienna**Santorini",
    "ground_truth_durations": "4**3**4**2**3**2**4**2**3**3",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Budapest",
        "Edinburgh"
      ],
      [
        "Berlin",
        "Edinburgh"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Vienna"
      ],
      [
        "Hamburg",
        "Budapest"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 3 days. You would like to visit Vienna for 3 days. You plan to stay in Hamburg for 4 days. You plan to visit relatives in Hamburg between day 1 and day 4. You would like to visit Edinburgh for 4 days. You want to spend 4 days in Berlin. You want to spend 2 days in Helsinki. You plan to stay in Frankfurt for 2 days. During day 12 and day 13, you have to attend a conference in Frankfurt. You want to spend 3 days in Lyon. You have to attend a workshop in Lyon between day 10 and day 12. You want to spend 2 days in Valencia. You plan to stay in Budapest for 3 days. You would like to meet your friends at Budapest between day 4 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nBudapest and Berlin, Berlin and Vienna, Budapest and Edinburgh, Berlin and Edinburgh, Hamburg and Vienna, Frankfurt and Edinburgh, Valencia and Lyon, Edinburgh and Helsinki, Budapest and Vienna, Budapest and Frankfurt, Berlin and Frankfurt, Valencia and Vienna, Hamburg and Edinburgh, Berlin and Valencia, Vienna and Santorini, Lyon and Frankfurt, Frankfurt and Vienna, Hamburg and Budapest, Frankfurt and Helsinki, Berlin and Helsinki, Lyon and Vienna, Budapest and Helsinki, Hamburg and Helsinki, Valencia and Frankfurt, Helsinki and Vienna, Hamburg and Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Santorini for 3 days. You would like to visit Vienna for 3 days. You plan to stay in Hamburg for 4 days. You plan to visit relatives in Hamburg between day 1 and day 4. You would like to visit Edinburgh for 4 days. You want to spend 4 days in Berlin. You want to spend 2 days in Helsinki. You plan to stay in Frankfurt for 2 days. During day 12 and day 13, you have to attend a conference in Frankfurt. You want to spend 3 days in Lyon. You have to attend a workshop in Lyon between day 10 and day 12. You want to spend 2 days in Valencia. You plan to stay in Budapest for 3 days. You would like to meet your friends at Budapest between day 4 and day 6 to tour together.\n\nHere are the cities that have direct flights:\nfrom Budapest to Berlin, from Berlin to Vienna, from Budapest to Edinburgh, from Berlin to Edinburgh, from Hamburg to Vienna, from Frankfurt to Edinburgh, from Valencia to Lyon, from Edinburgh to Helsinki, from Budapest to Vienna, from Budapest to Frankfurt, from Berlin to Frankfurt, from Valencia to Vienna, from Hamburg to Edinburgh, from Berlin to Valencia, from Vienna to Santorini, from Lyon to Frankfurt, from Frankfurt to Vienna, from Hamburg to Budapest, from Frankfurt to Helsinki, from Berlin to Helsinki, from Lyon to Vienna, from Budapest to Helsinki, from Hamburg to Helsinki, from Valencia to Frankfurt, from Helsinki to Vienna, from Hamburg to Frankfurt.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Budapest.\n**Day 4-6:** Visit Budapest for 3 days.\n**Day 6:** Fly from Budapest to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Vienna.\n**Day 17-19:** Visit Vienna for 3 days.\n**Day 19:** Fly from Vienna to Santorini.\n**Day 19-21:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1446",
    "estimated_output_tokens": 5042,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Vienna, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Edinburgh, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n* City: Helsinki, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Valencia, Duration: 2 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Fixed Schedule: Day 4 - 6.\n* City: Lyon, Fixed Schedule: Day 10 - 12.\n* City: Frankfurt, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Vienna, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Berlin, Duration: 4 days.\n* City: Helsinki, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Hamburg.\n |- Try arranging to visit Hamburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 6).\n |- The departure day of Hamburg is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Hamburg to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 10 - 12).\n   |- The departure day of Budapest is Day 6. The arrival day of Lyon is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Hamburg, Budapest].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna, Edinburgh, Berlin, Helsinki, Valencia] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Budapest to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Budapest to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 12).\n     |- The departure day of Vienna is Day 8. The arrival day of Lyon is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Hamburg, Budapest, Vienna].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Berlin, Helsinki, Valencia] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vienna to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 10 - 12).\n       |- The departure day of Santorini is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Budapest, Vienna, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vienna to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vienna to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vienna to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vienna to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Budapest to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 12).\n     |- The departure day of Edinburgh is Day 9. The arrival day of Lyon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Budapest, Edinburgh].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna, Berlin, Helsinki, Valencia] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Edinburgh to Vienna.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Edinburgh to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Edinburgh to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 10 - 12).\n       |- The departure day of Helsinki is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Budapest, Edinburgh, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Edinburgh to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Budapest to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 12).\n     |- The departure day of Berlin is Day 9. The arrival day of Lyon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Hamburg, Budapest, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna, Edinburgh, Helsinki, Valencia] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 10 - 12).\n       |- The departure day of Vienna is Day 11. The arrival day of Lyon is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Berlin to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 10 - 12).\n       |- The departure day of Edinburgh is Day 12. The arrival day of Lyon is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Berlin to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 10 - 12).\n       |- The departure day of Helsinki is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Budapest, Berlin, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Helsinki to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Berlin to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 10 - 12).\n       |- The departure day of Valencia is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Hamburg, Budapest, Berlin, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Valencia to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 13).\n         |- The departure day of Lyon is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Lyon to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna, Edinburgh, Helsinki] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Frankfurt to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Frankfurt to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Vienna].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Edinburgh, Helsinki] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Vienna to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Vienna, Santorini].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Edinburgh, Helsinki] and explore these options in order.\n                 |- Try arranging to visit Edinburgh from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Santorini to Edinburgh.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Helsinki from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Santorini to Helsinki.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Edinburgh from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Vienna to Edinburgh.\n               |- No. Drop this branch.\n               |- Try arranging to visit Helsinki from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Vienna to Helsinki.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Frankfurt to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Edinburgh].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna, Helsinki] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Edinburgh to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vienna from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Edinburgh to Vienna.\n               |- No. Drop this branch.\n               |- Try arranging to visit Helsinki from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Edinburgh to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Edinburgh, Helsinki].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini, Vienna] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Helsinki to Santorini.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Vienna from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Helsinki to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Edinburgh, Helsinki, Vienna].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                   |- Check for direct flight from Vienna to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Hamburg, Budapest, Berlin, Valencia, Lyon, Frankfurt, Edinburgh, Helsinki, Vienna, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Hamburg and visit Hamburg for 4 days.\n**Day 4:** Fly from Hamburg to Budapest.\n**Day 4-6:** Visit Budapest for 3 days.\n**Day 6:** Fly from Budapest to Berlin.\n**Day 6-9:** Visit Berlin for 4 days.\n**Day 9:** Fly from Berlin to Valencia.\n**Day 9-10:** Visit Valencia for 2 days.\n**Day 10:** Fly from Valencia to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Edinburgh.\n**Day 13-16:** Visit Edinburgh for 4 days.\n**Day 16:** Fly from Edinburgh to Helsinki.\n**Day 16-17:** Visit Helsinki for 2 days.\n**Day 17:** Fly from Helsinki to Vienna.\n**Day 17-19:** Visit Vienna for 3 days.\n**Day 19:** Fly from Vienna to Santorini.\n**Day 19-21:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Seville**Paris**Oslo**Lyon**Venice**Berlin**Geneva**Frankfurt**Vilnius",
    "ground_truth_durations": "4**2**4**2**5**4**3**2**4**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 18,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Oslo",
        "Berlin"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Vienna",
        "Oslo"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Oslo",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 8 and day 9 to tour together. You plan to stay in Vilnius for 3 days. You would like to visit Paris for 4 days. During day 5 and day 8, you have to attend a conference in Paris. You want to spend 4 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 19 and day 22. You want to spend 5 days in Lyon. You want to spend 2 days in Seville. You want to meet a friend in Seville between day 4 and day 5. You want to spend 3 days in Berlin. You would like to visit Vienna for 4 days. You want to spend 4 days in Venice. You would like to visit Geneva for 2 days. You plan to visit relatives in Geneva between day 18 and day 19.\n\nHere are the cities that have direct flights:\nBerlin and Geneva, Vienna and Frankfurt, Frankfurt and Vilnius, Seville and Paris, Vienna and Lyon, Lyon and Venice, Berlin and Vilnius, Oslo and Berlin, Berlin and Frankfurt, Geneva and Frankfurt, Paris and Lyon, Venice and Frankfurt, Oslo and Lyon, Venice and Berlin, Vienna and Geneva, Vienna and Vilnius, Paris and Venice, Oslo and Geneva, Vienna and Berlin, Paris and Frankfurt, Vienna and Paris, Vienna and Oslo, Oslo and Vilnius, Paris and Geneva, Vienna and Venice, Lyon and Frankfurt, Paris and Berlin, Oslo and Venice, Vienna and Seville, Paris and Oslo, Paris and Vilnius, Oslo and Frankfurt.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 2 days. You would like to meet your friends at Oslo between day 8 and day 9 to tour together. You plan to stay in Vilnius for 3 days. You would like to visit Paris for 4 days. During day 5 and day 8, you have to attend a conference in Paris. You want to spend 4 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 19 and day 22. You want to spend 5 days in Lyon. You want to spend 2 days in Seville. You want to meet a friend in Seville between day 4 and day 5. You want to spend 3 days in Berlin. You would like to visit Vienna for 4 days. You want to spend 4 days in Venice. You would like to visit Geneva for 2 days. You plan to visit relatives in Geneva between day 18 and day 19.\n\nHere are the cities that have direct flights:\nfrom Berlin to Geneva, from Vienna to Frankfurt, from Frankfurt to Vilnius, from Seville to Paris, from Vienna to Lyon, from Lyon to Venice, from Berlin to Vilnius, from Oslo to Berlin, from Berlin to Frankfurt, from Geneva to Frankfurt, from Paris to Lyon, from Venice to Frankfurt, from Oslo to Lyon, from Venice to Berlin, from Vienna to Geneva, from Vienna to Vilnius, from Paris to Venice, from Oslo to Geneva, from Vienna to Berlin, from Paris to Frankfurt, from Vienna to Paris, from Vienna to Oslo, from Oslo to Vilnius, from Paris to Geneva, from Vienna to Venice, from Lyon to Frankfurt, from Paris to Berlin, from Oslo to Venice, from Vienna to Seville, from Paris to Oslo, from Paris to Vilnius, from Oslo to Frankfurt.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Venice.\n**Day 13-16:** Visit Venice for 4 days.\n**Day 16:** Fly from Venice to Berlin.\n**Day 16-18:** Visit Berlin for 3 days.\n**Day 18:** Fly from Berlin to Geneva.\n**Day 18-19:** Visit Geneva for 2 days.\n**Day 19:** Fly from Geneva to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Vilnius.\n**Day 22-24:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1447",
    "estimated_output_tokens": 4019,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Vilnius, Duration: 3 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Lyon, Duration: 5 days.\n* City: Seville, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Berlin, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 4 - 5.\n* City: Paris, Fixed Schedule: Day 5 - 8.\n* City: Oslo, Fixed Schedule: Day 8 - 9.\n* City: Geneva, Fixed Schedule: Day 18 - 19.\n* City: Frankfurt, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Berlin, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Berlin, Vienna, Venice] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 5).\n |- The departure day of Vilnius is Day 3. The arrival day of Seville is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Berlin, Vienna, Venice] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 5).\n |- The departure day of Lyon is Day 5. The arrival day of Seville is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 5).\n |- The departure day of Berlin is Day 3. The arrival day of Seville is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Vienna, Venice] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 4 - 5).\n   |- The departure day of Vilnius is Day 5. The arrival day of Seville is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Venice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 4 - 5).\n |- The departure day of Vienna is Day 4. The arrival day of Seville is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vienna to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 5 - 8).\n   |- The departure day of Seville is Day 5. The arrival day of Paris is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vienna, Seville].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Seville to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 8 - 9).\n     |- The departure day of Paris is Day 8. The arrival day of Oslo is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vienna, Seville, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Paris to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 18 - 19).\n       |- The departure day of Oslo is Day 9. The arrival day of Geneva is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Vienna, Seville, Paris, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Berlin, Venice] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Oslo to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 18 - 19).\n         |- The departure day of Vilnius is Day 11. The arrival day of Geneva is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Vienna, Seville, Paris, Oslo, Vilnius].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Berlin, Venice] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Vilnius to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Vilnius to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Vilnius to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 18 - 19).\n         |- The departure day of Lyon is Day 13. The arrival day of Geneva is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Seville, Paris, Oslo, Lyon].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Venice] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Lyon to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Lyon to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Lyon to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 18 - 19).\n           |- The departure day of Venice is Day 16. The arrival day of Geneva is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Vienna, Seville, Paris, Oslo, Lyon, Venice].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Venice to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Venice to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 18 - 19).\n             |- The departure day of Berlin is Day 18. The arrival day of Geneva is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Vienna, Seville, Paris, Oslo, Lyon, Venice, Berlin].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Berlin to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 19 - 22).\n               |- The departure day of Geneva is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Vienna, Seville, Paris, Oslo, Lyon, Venice, Berlin, Geneva].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Geneva to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Vienna, Seville, Paris, Oslo, Lyon, Venice, Berlin, Geneva, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Frankfurt to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Vienna, Seville, Paris, Oslo, Lyon, Venice, Berlin, Geneva, Frankfurt, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vienna and visit Vienna for 4 days.\n**Day 4:** Fly from Vienna to Seville.\n**Day 4-5:** Visit Seville for 2 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Oslo.\n**Day 8-9:** Visit Oslo for 2 days.\n**Day 9:** Fly from Oslo to Lyon.\n**Day 9-13:** Visit Lyon for 5 days.\n**Day 13:** Fly from Lyon to Venice.\n**Day 13-16:** Visit Venice for 4 days.\n**Day 16:** Fly from Venice to Berlin.\n**Day 16-18:** Visit Berlin for 3 days.\n**Day 18:** Fly from Berlin to Geneva.\n**Day 18-19:** Visit Geneva for 2 days.\n**Day 19:** Fly from Geneva to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Vilnius.\n**Day 22-24:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Milan**Brussels**Porto**Seville**Rome**Venice**Helsinki**Riga**Hamburg",
    "ground_truth_durations": "5**2**2**5**5**3**5**4**3**2",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 26,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 11,
        "end_day": 15
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Porto"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Milan",
        "Brussels"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Brussels",
        "Rome"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Milan",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You would like to meet your friends at Porto between day 7 and day 11 to tour together. You plan to stay in Riga for 3 days. You are going to attend a wedding in Riga between day 24 and day 26. You would like to visit Brussels for 2 days. You want to spend 5 days in Venice. You plan to stay in Rome for 3 days. You want to spend 2 days in Hamburg. You plan to visit relatives in Hamburg between day 26 and day 27. You want to spend 4 days in Helsinki. You would like to visit London for 5 days. You would like to visit Milan for 2 days. From day 5 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Seville for 5 days. During day 11 and day 15, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nBrussels and Porto, Rome and Hamburg, Brussels and Seville, London and Venice, Venice and Helsinki, Rome and Helsinki, Porto and Hamburg, Venice and Hamburg, Milan and Brussels, from Rome to Riga, Seville and Rome, London and Brussels, Milan and Seville, from Riga to Hamburg, Brussels and Venice, Brussels and Riga, London and Rome, Helsinki and Hamburg, Brussels and Rome, Rome and Venice, Brussels and Hamburg, Milan and Riga, Brussels and Helsinki, Porto and Seville, London and Milan, London and Hamburg, London and Helsinki, Milan and Helsinki, Helsinki and Riga, Milan and Hamburg, Milan and Porto.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Porto. You would like to meet your friends at Porto between day 7 and day 11 to tour together. You plan to stay in Riga for 3 days. You are going to attend a wedding in Riga between day 24 and day 26. You would like to visit Brussels for 2 days. You want to spend 5 days in Venice. You plan to stay in Rome for 3 days. You want to spend 2 days in Hamburg. You plan to visit relatives in Hamburg between day 26 and day 27. You want to spend 4 days in Helsinki. You would like to visit London for 5 days. You would like to visit Milan for 2 days. From day 5 to day 6, there is a annual show you want to attend in Milan. You plan to stay in Seville for 5 days. During day 11 and day 15, you have to attend a conference in Seville.\n\nHere are the cities that have direct flights:\nfrom Brussels to Porto, from Rome to Hamburg, from Brussels to Seville, from London to Venice, from Venice to Helsinki, from Rome to Helsinki, from Porto to Hamburg, from Venice to Hamburg, from Milan to Brussels, from Rome to Riga, from Seville to Rome, from London to Brussels, from Milan to Seville, from Riga to Hamburg, from Brussels to Venice, from Brussels to Riga, from London to Rome, from Helsinki to Hamburg, from Brussels to Rome, from Rome to Venice, from Brussels to Hamburg, from Milan to Riga, from Brussels to Helsinki, from Porto to Seville, from London to Milan, from London to Hamburg, from London to Helsinki, from Milan to Helsinki, from Helsinki to Riga, from Milan to Hamburg, from Milan to Porto.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Rome.\n**Day 15-17:** Visit Rome for 3 days.\n**Day 17:** Fly from Rome to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Helsinki.\n**Day 21-24:** Visit Helsinki for 4 days.\n**Day 24:** Fly from Helsinki to Riga.\n**Day 24-26:** Visit Riga for 3 days.\n**Day 26:** Fly from Riga to Hamburg.\n**Day 26-27:** Visit Hamburg for 2 days.",
    "id": "trip_planning_example_1448",
    "estimated_output_tokens": 4832,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Brussels, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 26 - 27.\n* City: Helsinki, Duration: 4 days.\n* City: London, Duration: 5 days.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 5 - 6.\n* City: Porto, Fixed Schedule: Day 7 - 11.\n* City: Seville, Fixed Schedule: Day 11 - 15.\n* City: Riga, Fixed Schedule: Day 24 - 26.\n* City: Hamburg, Fixed Schedule: Day 26 - 27.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Rome, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: London, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Venice, Rome, Helsinki, London] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 6).\n |- The departure day of Brussels is Day 2. The arrival day of Milan is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Rome, Helsinki, London] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Brussels to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 5 - 6).\n   |- The departure day of Venice is Day 6. The arrival day of Milan is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 5 - 6).\n   |- The departure day of Rome is Day 4. The arrival day of Milan is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki, London] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Rome to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 5 - 6).\n     |- The departure day of Venice is Day 8. The arrival day of Milan is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Rome to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 5 - 6).\n     |- The departure day of Helsinki is Day 7. The arrival day of Milan is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Rome to London.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Brussels to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 5 - 6).\n   |- The departure day of Helsinki is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Helsinki to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Brussels to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 6).\n |- The departure day of Venice is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 6).\n |- The departure day of Rome is Day 3. The arrival day of Milan is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Venice, Helsinki, London] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Rome to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Rome to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 6).\n   |- The departure day of Venice is Day 7. The arrival day of Milan is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Rome to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 6).\n   |- The departure day of Helsinki is Day 6. The arrival day of Milan is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit London from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Rome to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 6).\n |- The departure day of Helsinki is Day 4. The arrival day of Milan is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Venice, Rome, London] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Helsinki to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Helsinki to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Helsinki to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 6).\n |- The departure day of London is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 7 - 11).\n   |- The departure day of Milan is Day 6. The arrival day of Porto is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Venice, Rome, Helsinki] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 7 - 11).\n     |- The departure day of Brussels is Day 7. The arrival day of Porto is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [London, Milan, Brussels].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Brussels to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Seville (Day 11 - 15).\n       |- The departure day of Porto is Day 11. The arrival day of Seville is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [London, Milan, Brussels, Porto].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Seville.\n         |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 24 - 26).\n         |- The departure day of Seville is Day 15. The arrival day of Riga is Day 24. Day 15 is not later than (<=) Day 24. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [London, Milan, Brussels, Porto, Seville].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Rome, Helsinki] and explore these options in order.\n           |- Try arranging to visit Venice from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Seville to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Seville to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Riga (Day 24 - 26).\n           |- The departure day of Rome is Day 17. The arrival day of Riga is Day 24. Day 17 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [London, Milan, Brussels, Porto, Seville, Rome].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Helsinki] and explore these options in order.\n             |- Try arranging to visit Venice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Rome to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 24 - 26).\n             |- The departure day of Venice is Day 21. The arrival day of Riga is Day 24. Day 21 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [London, Milan, Brussels, Porto, Seville, Rome, Venice].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Venice to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Riga (Day 24 - 26).\n               |- The departure day of Helsinki is Day 24. The arrival day of Riga is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [London, Milan, Brussels, Porto, Seville, Rome, Venice, Helsinki].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Riga.\n                 |- Try arranging to visit Riga from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Helsinki to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Hamburg (Day 26 - 27).\n                 |- The departure day of Riga is Day 26. The arrival day of Hamburg is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [London, Milan, Brussels, Porto, Seville, Rome, Venice, Helsinki, Riga].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Hamburg.\n                   |- Try arranging to visit Hamburg from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Riga to Hamburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [London, Milan, Brussels, Porto, Seville, Rome, Venice, Helsinki, Riga, Hamburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in London and visit London for 5 days.\n**Day 5:** Fly from London to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Brussels.\n**Day 6-7:** Visit Brussels for 2 days.\n**Day 7:** Fly from Brussels to Porto.\n**Day 7-11:** Visit Porto for 5 days.\n**Day 11:** Fly from Porto to Seville.\n**Day 11-15:** Visit Seville for 5 days.\n**Day 15:** Fly from Seville to Rome.\n**Day 15-17:** Visit Rome for 3 days.\n**Day 17:** Fly from Rome to Venice.\n**Day 17-21:** Visit Venice for 5 days.\n**Day 21:** Fly from Venice to Helsinki.\n**Day 21-24:** Visit Helsinki for 4 days.\n**Day 24:** Fly from Helsinki to Riga.\n**Day 24-26:** Visit Riga for 3 days.\n**Day 26:** Fly from Riga to Hamburg.\n**Day 26-27:** Visit Hamburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Berlin**London**Reykjavik**Helsinki**Split**Zurich**Bucharest**Frankfurt**Warsaw",
    "ground_truth_durations": "2**2**3**3**4**3**5**2**4**3",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "London",
        "Split"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Berlin",
        "London"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Helsinki",
        "Zurich"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Bucharest",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You would like to visit Porto for 2 days. You would like to visit Warsaw for 3 days. From day 20 to day 22, there is a annual show you want to attend in Warsaw. You want to spend 4 days in Helsinki. You plan to stay in Zurich for 5 days. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 5 and day 7. You plan to stay in Frankfurt for 4 days. You want to meet a friend in Frankfurt between day 17 and day 20. You plan to stay in Berlin for 2 days. During day 2 and day 3, you have to attend a conference in Berlin. You want to spend 2 days in Bucharest. You would like to visit London for 3 days. You have to attend a workshop in London between day 3 and day 5.\n\nHere are the cities that have direct flights:\nReykjavik and Helsinki, Porto and Zurich, Helsinki and Frankfurt, London and Helsinki, Zurich and Frankfurt, London and Split, London and Frankfurt, Berlin and Zurich, Helsinki and Warsaw, Berlin and London, Porto and Warsaw, Porto and Frankfurt, Reykjavik and Zurich, Reykjavik and Frankfurt, Berlin and Frankfurt, Split and Zurich, Reykjavik and Warsaw, London and Zurich, Berlin and Split, Porto and Berlin, Helsinki and Zurich, Zurich and Bucharest, Frankfurt and Warsaw, Berlin and Reykjavik, London and Bucharest, Split and Warsaw, Berlin and Warsaw, London and Reykjavik, London and Warsaw, Helsinki and Split, Bucharest and Frankfurt, Split and Frankfurt, Berlin and Helsinki, Zurich and Warsaw, Bucharest and Warsaw.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Split for 3 days. You would like to visit Porto for 2 days. You would like to visit Warsaw for 3 days. From day 20 to day 22, there is a annual show you want to attend in Warsaw. You want to spend 4 days in Helsinki. You plan to stay in Zurich for 5 days. You would like to visit Reykjavik for 3 days. You are going to attend a wedding in Reykjavik between day 5 and day 7. You plan to stay in Frankfurt for 4 days. You want to meet a friend in Frankfurt between day 17 and day 20. You plan to stay in Berlin for 2 days. During day 2 and day 3, you have to attend a conference in Berlin. You want to spend 2 days in Bucharest. You would like to visit London for 3 days. You have to attend a workshop in London between day 3 and day 5.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Helsinki, from Porto to Zurich, from Helsinki to Frankfurt, from London to Helsinki, from Zurich to Frankfurt, from London to Split, from London to Frankfurt, from Berlin to Zurich, from Helsinki to Warsaw, from Berlin to London, from Porto to Warsaw, from Porto to Frankfurt, from Reykjavik to Zurich, from Reykjavik to Frankfurt, from Berlin to Frankfurt, from Split to Zurich, from Reykjavik to Warsaw, from London to Zurich, from Berlin to Split, from Porto to Berlin, from Helsinki to Zurich, from Zurich to Bucharest, from Frankfurt to Warsaw, from Berlin to Reykjavik, from London to Bucharest, from Split to Warsaw, from Berlin to Warsaw, from London to Reykjavik, from London to Warsaw, from Helsinki to Split, from Bucharest to Frankfurt, from Split to Frankfurt, from Berlin to Helsinki, from Zurich to Warsaw, from Bucharest to Warsaw.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Helsinki.\n**Day 7-10:** Visit Helsinki for 4 days.\n**Day 10:** Fly from Helsinki to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Bucharest.\n**Day 16-17:** Visit Bucharest for 2 days.\n**Day 17:** Fly from Bucharest to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Warsaw.\n**Day 20-22:** Visit Warsaw for 3 days.",
    "id": "trip_planning_example_1449",
    "estimated_output_tokens": 2739,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Helsinki, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Bucharest, Duration: 2 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 2 - 3.\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Reykjavik, Fixed Schedule: Day 5 - 7.\n* City: Frankfurt, Fixed Schedule: Day 17 - 20.\n* City: Warsaw, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Zurich, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Porto, Helsinki, Zurich, Bucharest] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Split is Day 3. The arrival day of Berlin is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Porto is Day 2. The arrival day of Berlin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 3 - 5).\n   |- The departure day of Berlin is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Porto, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n     |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Berlin to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 5 - 7).\n     |- The departure day of London is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Porto, Berlin, London].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Frankfurt (Day 17 - 20).\n       |- The departure day of Reykjavik is Day 7. The arrival day of Frankfurt is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Porto, Berlin, London, Reykjavik].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Helsinki, Zurich, Bucharest] and explore these options in order.\n         |- Try arranging to visit Split from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 17 - 20).\n         |- The departure day of Helsinki is Day 10. The arrival day of Frankfurt is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Zurich, Bucharest] and explore these options in order.\n           |- Try arranging to visit Split from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Helsinki to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 17 - 20).\n           |- The departure day of Split is Day 12. The arrival day of Frankfurt is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki, Split].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Bucharest] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Split to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 17 - 20).\n             |- The departure day of Zurich is Day 16. The arrival day of Frankfurt is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki, Split, Zurich].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Zurich to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 17 - 20).\n               |- The departure day of Bucharest is Day 17. The arrival day of Frankfurt is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki, Split, Zurich, Bucharest].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Bucharest to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Warsaw (Day 20 - 22).\n                 |- The departure day of Frankfurt is Day 20. The arrival day of Warsaw is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki, Split, Zurich, Bucharest, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- Yes. The city with an arrival day of Day 20 - is fixed: Warsaw.\n                   |- Try arranging to visit Warsaw from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                   |- Check for direct flight from Frankfurt to Warsaw.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Porto, Berlin, London, Reykjavik, Helsinki, Split, Zurich, Bucharest, Frankfurt, Warsaw].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Porto and visit Porto for 2 days.\n**Day 2:** Fly from Porto to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Helsinki.\n**Day 7-10:** Visit Helsinki for 4 days.\n**Day 10:** Fly from Helsinki to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Bucharest.\n**Day 16-17:** Visit Bucharest for 2 days.\n**Day 17:** Fly from Bucharest to Frankfurt.\n**Day 17-20:** Visit Frankfurt for 4 days.\n**Day 20:** Fly from Frankfurt to Warsaw.\n**Day 20-22:** Visit Warsaw for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Krakow**Vilnius**Frankfurt**Florence**Munich**Hamburg**Istanbul**Stockholm**Santorini",
    "ground_truth_durations": "5**5**5**4**2**5**5**5**3**2",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 5,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Oslo",
        "Munich"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Hamburg",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stockholm. You plan to stay in Hamburg for 5 days. You would like to visit Florence for 2 days. You would like to visit Istanbul for 5 days. From day 25 to day 29, there is a annual show you want to attend in Istanbul. You would like to visit Oslo for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Santorini for 2 days. You plan to stay in Munich for 5 days. You would like to visit Frankfurt for 4 days. You want to spend 5 days in Krakow. You have to attend a workshop in Krakow between day 5 and day 9.\n\nHere are the cities that have direct flights:\nOslo and Stockholm, Krakow and Frankfurt, Krakow and Istanbul, Munich and Stockholm, Hamburg and Stockholm, from Krakow to Vilnius, Oslo and Istanbul, Istanbul and Stockholm, Oslo and Krakow, Vilnius and Istanbul, Oslo and Vilnius, Frankfurt and Istanbul, Oslo and Frankfurt, Munich and Hamburg, Munich and Istanbul, Oslo and Munich, Frankfurt and Florence, Oslo and Hamburg, Vilnius and Frankfurt, from Florence to Munich, Krakow and Munich, Hamburg and Istanbul, Frankfurt and Stockholm, from Stockholm to Santorini, Frankfurt and Munich, from Santorini to Oslo, Krakow and Stockholm, from Vilnius to Munich, Frankfurt and Hamburg.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Stockholm. You plan to stay in Hamburg for 5 days. You would like to visit Florence for 2 days. You would like to visit Istanbul for 5 days. From day 25 to day 29, there is a annual show you want to attend in Istanbul. You would like to visit Oslo for 5 days. You would like to visit Vilnius for 5 days. You plan to stay in Santorini for 2 days. You plan to stay in Munich for 5 days. You would like to visit Frankfurt for 4 days. You want to spend 5 days in Krakow. You have to attend a workshop in Krakow between day 5 and day 9.\n\nHere are the cities that have direct flights:\nfrom Oslo to Stockholm, from Krakow to Frankfurt, from Krakow to Istanbul, from Munich to Stockholm, from Hamburg to Stockholm, from Krakow to Vilnius, from Oslo to Istanbul, from Istanbul to Stockholm, from Oslo to Krakow, from Vilnius to Istanbul, from Oslo to Vilnius, from Frankfurt to Istanbul, from Oslo to Frankfurt, from Munich to Hamburg, from Munich to Istanbul, from Oslo to Munich, from Frankfurt to Florence, from Oslo to Hamburg, from Vilnius to Frankfurt, from Florence to Munich, from Krakow to Munich, from Hamburg to Istanbul, from Frankfurt to Stockholm, from Stockholm to Santorini, from Frankfurt to Munich, from Santorini to Oslo, from Krakow to Stockholm, from Vilnius to Munich, from Frankfurt to Hamburg.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Florence.\n**Day 16-17:** Visit Florence for 2 days.\n**Day 17:** Fly from Florence to Munich.\n**Day 17-21:** Visit Munich for 5 days.\n**Day 21:** Fly from Munich to Hamburg.\n**Day 21-25:** Visit Hamburg for 5 days.\n**Day 25:** Fly from Hamburg to Istanbul.\n**Day 25-29:** Visit Istanbul for 5 days.\n**Day 29:** Fly from Istanbul to Stockholm.\n**Day 29-31:** Visit Stockholm for 3 days.\n**Day 31:** Fly from Stockholm to Santorini.\n**Day 31-32:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1450",
    "estimated_output_tokens": 10232,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stockholm, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Oslo, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 5 - 9.\n* City: Istanbul, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 2 days.\n* City: Oslo, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Santorini, Duration: 2 days.\n* City: Munich, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Florence, Oslo, Vilnius, Santorini, Munich, Frankfurt] and explore these options in order.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Stockholm is Day 3. The arrival day of Krakow is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Oslo, Vilnius, Santorini, Munich, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 5 - 9).\n   |- The departure day of Santorini is Day 4. The arrival day of Krakow is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stockholm, Santorini].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Oslo, Vilnius, Munich, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Santorini to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 5 - 9).\n     |- The departure day of Oslo is Day 8. The arrival day of Krakow is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Santorini to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Santorini to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stockholm to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Hamburg is Day 5. The arrival day of Krakow is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Florence is Day 2. The arrival day of Krakow is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Oslo, Vilnius, Santorini, Munich, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Florence to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Florence to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Krakow (Day 5 - 9).\n   |- The departure day of Munich is Day 6. The arrival day of Krakow is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 5 - 9).\n |- The departure day of Oslo is Day 5. The arrival day of Krakow is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Krakow.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 25 - 29).\n   |- The departure day of Krakow is Day 9. The arrival day of Istanbul is Day 25. Day 9 is not later than (<=) Day 25. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Oslo, Krakow].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Florence, Vilnius, Santorini, Munich, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Krakow to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 25 - 29).\n     |- The departure day of Stockholm is Day 11. The arrival day of Istanbul is Day 25. Day 11 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Oslo, Krakow, Stockholm].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Vilnius, Santorini, Munich, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stockholm to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Istanbul (Day 25 - 29).\n       |- The departure day of Santorini is Day 12. The arrival day of Istanbul is Day 25. Day 12 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Oslo, Krakow, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Vilnius, Munich, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Santorini to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Santorini to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Santorini to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Stockholm to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Stockholm to Frankfurt.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Krakow to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Krakow to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Krakow to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 25 - 29).\n     |- The departure day of Vilnius is Day 13. The arrival day of Istanbul is Day 25. Day 13 is not later than (<=) Day 25. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Oslo, Krakow, Vilnius].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Florence, Santorini, Munich, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Vilnius to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Vilnius to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Vilnius to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Vilnius to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 25 - 29).\n       |- The departure day of Munich is Day 17. The arrival day of Istanbul is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Oslo, Krakow, Vilnius, Munich].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Florence, Santorini, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n         |- Check for direct flight from Munich to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Istanbul (Day 25 - 29).\n         |- The departure day of Stockholm is Day 19. The arrival day of Istanbul is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Oslo, Krakow, Vilnius, Munich, Stockholm].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Santorini, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Stockholm to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Istanbul (Day 25 - 29).\n           |- The departure day of Santorini is Day 20. The arrival day of Istanbul is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Oslo, Krakow, Vilnius, Munich, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Santorini to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Santorini to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Santorini to Frankfurt.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n           |- Check for direct flight from Stockholm to Frankfurt.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Munich to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Istanbul (Day 25 - 29).\n         |- The departure day of Hamburg is Day 21. The arrival day of Istanbul is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Oslo, Krakow, Vilnius, Munich, Hamburg].\n          |- Check whether the city with an arrival day of Day 21 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Santorini, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n           |- Check for direct flight from Hamburg to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Istanbul (Day 25 - 29).\n           |- The departure day of Stockholm is Day 23. The arrival day of Istanbul is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Oslo, Krakow, Vilnius, Munich, Hamburg, Stockholm].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Santorini, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Florence from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n             |- Check for direct flight from Stockholm to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n             |- Check for direct flight from Stockholm to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Istanbul (Day 25 - 29).\n             |- The departure day of Santorini is Day 24. The arrival day of Istanbul is Day 25. Day 24 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Oslo, Krakow, Vilnius, Munich, Hamburg, Stockholm, Santorini].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Florence from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Santorini to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Frankfurt from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Santorini to Frankfurt.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n             |- Check for direct flight from Stockholm to Frankfurt.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n           |- Check for direct flight from Hamburg to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n           |- Check for direct flight from Hamburg to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n           |- Check for direct flight from Hamburg to Frankfurt.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Munich to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Munich to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Munich to Frankfurt.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Vilnius to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Istanbul (Day 25 - 29).\n       |- The departure day of Frankfurt is Day 16. The arrival day of Istanbul is Day 25. Day 16 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Oslo, Krakow, Vilnius, Frankfurt].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Florence, Santorini, Munich] and explore these options in order.\n         |- Try arranging to visit Stockholm from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Frankfurt to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Istanbul (Day 25 - 29).\n         |- The departure day of Stockholm is Day 18. The arrival day of Istanbul is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Stockholm].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Santorini, Munich] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Stockholm to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Stockholm to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Stockholm to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Istanbul (Day 25 - 29).\n           |- The departure day of Santorini is Day 19. The arrival day of Istanbul is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Stockholm, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Munich] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Santorini to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Santorini to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Santorini to Munich.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Munich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Stockholm to Munich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Frankfurt to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Istanbul (Day 25 - 29).\n         |- The departure day of Hamburg is Day 20. The arrival day of Istanbul is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Hamburg].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Florence, Santorini, Munich] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n           |- Check for direct flight from Hamburg to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Istanbul (Day 25 - 29).\n           |- The departure day of Stockholm is Day 22. The arrival day of Istanbul is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Hamburg, Stockholm].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Santorini, Munich] and explore these options in order.\n             |- Try arranging to visit Florence from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Stockholm to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Stockholm to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Istanbul (Day 25 - 29).\n             |- The departure day of Santorini is Day 23. The arrival day of Istanbul is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Hamburg, Stockholm, Santorini].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, Munich] and explore these options in order.\n               |- Try arranging to visit Florence from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Santorini to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Munich from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Santorini to Munich.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Munich from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Stockholm to Munich.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Florence from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Hamburg to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n           |- Check for direct flight from Hamburg to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n           |- Check for direct flight from Hamburg to Munich.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Florence from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Frankfurt to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Istanbul (Day 25 - 29).\n         |- The departure day of Florence is Day 17. The arrival day of Istanbul is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Santorini, Munich] and explore these options in order.\n           |- Try arranging to visit Stockholm from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Florence to Stockholm.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Florence to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Florence to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Florence to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Istanbul (Day 25 - 29).\n           |- The departure day of Munich is Day 21. The arrival day of Istanbul is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Hamburg, Santorini] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Munich to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Istanbul (Day 25 - 29).\n             |- The departure day of Stockholm is Day 23. The arrival day of Istanbul is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Stockholm].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Santorini] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Stockholm to Hamburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n               |- Check for direct flight from Stockholm to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Istanbul (Day 25 - 29).\n               |- The departure day of Santorini is Day 24. The arrival day of Istanbul is Day 25. Day 24 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Stockholm, Santorini].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Santorini to Hamburg.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Munich to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Istanbul (Day 25 - 29).\n             |- The departure day of Hamburg is Day 25. The arrival day of Istanbul is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Hamburg].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- Yes. The city with an arrival day of Day 25 - is fixed: Istanbul.\n               |- Try arranging to visit Istanbul from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Hamburg to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Hamburg, Istanbul].\n                |- Check whether the city with an arrival day of Day 29 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stockholm, Santorini] and explore these options in order.\n                 |- Try arranging to visit Stockholm from Day 29. Duration: 3 days. Schedule: Day 29 - 31.\n                 |- Check for direct flight from Istanbul to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Hamburg, Istanbul, Stockholm].\n                  |- Check whether the city with an arrival day of Day 31 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 31. Duration: 2 days. Schedule: Day 31 - 32.\n                   |- Check for direct flight from Stockholm to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 31: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Oslo, Krakow, Vilnius, Frankfurt, Florence, Munich, Hamburg, Istanbul, Stockholm, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Oslo and visit Oslo for 5 days.\n**Day 5:** Fly from Oslo to Krakow.\n**Day 5-9:** Visit Krakow for 5 days.\n**Day 9:** Fly from Krakow to Vilnius.\n**Day 9-13:** Visit Vilnius for 5 days.\n**Day 13:** Fly from Vilnius to Frankfurt.\n**Day 13-16:** Visit Frankfurt for 4 days.\n**Day 16:** Fly from Frankfurt to Florence.\n**Day 16-17:** Visit Florence for 2 days.\n**Day 17:** Fly from Florence to Munich.\n**Day 17-21:** Visit Munich for 5 days.\n**Day 21:** Fly from Munich to Hamburg.\n**Day 21-25:** Visit Hamburg for 5 days.\n**Day 25:** Fly from Hamburg to Istanbul.\n**Day 25-29:** Visit Istanbul for 5 days.\n**Day 29:** Fly from Istanbul to Stockholm.\n**Day 29-31:** Visit Stockholm for 3 days.\n**Day 31:** Fly from Stockholm to Santorini.\n**Day 31-32:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Lisbon**Berlin**Tallinn**Warsaw**Split**Munich**Mykonos**Milan**Santorini",
    "ground_truth_durations": "5**3**2**3**5**4**2**3**2**2",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Milan"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Berlin",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 17 and day 18 to tour together. You plan to stay in Berlin for 2 days. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 10 and day 14. You plan to stay in Split for 4 days. You plan to stay in Lisbon for 3 days. During day 5 and day 7, you have to attend a conference in Lisbon. You want to spend 2 days in Milan. You want to spend 5 days in Florence. You are going to attend a wedding in Florence between day 1 and day 5. You would like to visit Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Mykonos. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nMunich and Milan, Berlin and Warsaw, Warsaw and Milan, Berlin and Split, Mykonos and Milan, Lisbon and Munich, Munich and Mykonos, Berlin and Tallinn, Berlin and Munich, Florence and Lisbon, Split and Milan, Lisbon and Warsaw, Tallinn and Munich, Warsaw and Munich, from Florence to Munich, Lisbon and Berlin, Lisbon and Milan, Tallinn and Warsaw, Split and Munich, Milan and Santorini, Warsaw and Split, Berlin and Milan.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 2 days. You would like to meet your friends at Munich between day 17 and day 18 to tour together. You plan to stay in Berlin for 2 days. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 10 and day 14. You plan to stay in Split for 4 days. You plan to stay in Lisbon for 3 days. During day 5 and day 7, you have to attend a conference in Lisbon. You want to spend 2 days in Milan. You want to spend 5 days in Florence. You are going to attend a wedding in Florence between day 1 and day 5. You would like to visit Tallinn for 3 days. From day 8 to day 10, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Mykonos. You want to spend 2 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Munich to Milan, from Berlin to Warsaw, from Warsaw to Milan, from Berlin to Split, from Mykonos to Milan, from Lisbon to Munich, from Munich to Mykonos, from Berlin to Tallinn, from Berlin to Munich, from Florence to Lisbon, from Split to Milan, from Lisbon to Warsaw, from Tallinn to Munich, from Warsaw to Munich, from Florence to Munich, from Lisbon to Berlin, from Lisbon to Milan, from Tallinn to Warsaw, from Split to Munich, from Milan to Santorini, from Warsaw to Split, from Berlin to Milan.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Berlin.\n**Day 7-8:** Visit Berlin for 2 days.\n**Day 8:** Fly from Berlin to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.\n**Day 20:** Fly from Mykonos to Milan.\n**Day 20-21:** Visit Milan for 2 days.\n**Day 21:** Fly from Milan to Santorini.\n**Day 21-22:** Visit Santorini for 2 days.",
    "id": "trip_planning_example_1451",
    "estimated_output_tokens": 2953,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Berlin, Duration: 2 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Split, Duration: 4 days.\n* City: Lisbon, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Milan, Duration: 2 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Mykonos, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Fixed Schedule: Day 5 - 7.\n* City: Tallinn, Fixed Schedule: Day 8 - 10.\n* City: Warsaw, Fixed Schedule: Day 10 - 14.\n* City: Munich, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Berlin, Duration: 2 days.\n* City: Split, Duration: 4 days.\n* City: Milan, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n* City: Santorini, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 5 - 7).\n |- The departure day of Florence is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 10).\n   |- The departure day of Lisbon is Day 7. The arrival day of Tallinn is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Split, Milan, Mykonos, Santorini] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 8 - 10).\n     |- The departure day of Berlin is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Lisbon, Berlin].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 10 - 14).\n       |- The departure day of Tallinn is Day 10. The arrival day of Warsaw is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Lisbon, Berlin, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Munich (Day 17 - 18).\n         |- The departure day of Warsaw is Day 14. The arrival day of Munich is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Milan, Mykonos, Santorini] and explore these options in order.\n           |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Warsaw to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Munich (Day 17 - 18).\n           |- The departure day of Split is Day 17. The arrival day of Munich is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Munich.\n             |- Try arranging to visit Munich from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Split to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan, Mykonos, Santorini] and explore these options in order.\n               |- Try arranging to visit Milan from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Munich to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich, Milan].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Santorini] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Milan to Mykonos.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Milan to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich, Milan, Santorini].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                   |- Check for direct flight from Santorini to Mykonos.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Munich to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich, Mykonos].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Milan, Santorini] and explore these options in order.\n                 |- Try arranging to visit Milan from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Mykonos to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich, Mykonos, Milan].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                   |- Check for direct flight from Milan to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Florence, Lisbon, Berlin, Tallinn, Warsaw, Split, Munich, Mykonos, Milan, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Lisbon.\n**Day 5-7:** Visit Lisbon for 3 days.\n**Day 7:** Fly from Lisbon to Berlin.\n**Day 7-8:** Visit Berlin for 2 days.\n**Day 8:** Fly from Berlin to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Warsaw.\n**Day 10-14:** Visit Warsaw for 5 days.\n**Day 14:** Fly from Warsaw to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Munich.\n**Day 17-18:** Visit Munich for 2 days.\n**Day 18:** Fly from Munich to Mykonos.\n**Day 18-20:** Visit Mykonos for 3 days.\n**Day 20:** Fly from Mykonos to Milan.\n**Day 20-21:** Visit Milan for 2 days.\n**Day 21:** Fly from Milan to Santorini.\n**Day 21-22:** Visit Santorini for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**London**Rome**Edinburgh**Porto**Berlin**Copenhagen**Prague**Tallinn**Vilnius",
    "ground_truth_durations": "4**5**2**4**4**2**2**3**3**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 17,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Tallinn",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Berlin. You plan to visit relatives in Berlin between day 15 and day 16. You want to spend 2 days in Rome. You plan to stay in Vilnius for 4 days. You plan to stay in Edinburgh for 4 days. You want to spend 5 days in London. During day 4 and day 8, you have to attend a conference in London. You plan to stay in Naples for 4 days. You would like to visit Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 16 and day 17. You want to spend 4 days in Porto. You plan to stay in Tallinn for 3 days. You would like to visit Prague for 3 days. From day 17 to day 19, there is a annual show you want to attend in Prague.\n\nHere are the cities that have direct flights:\nCopenhagen and Prague, Copenhagen and Vilnius, Copenhagen and Tallinn, Berlin and Tallinn, London and Berlin, Rome and Edinburgh, Rome and Berlin, Edinburgh and Prague, Berlin and Copenhagen, Naples and Berlin, London and Edinburgh, Naples and Copenhagen, Porto and Copenhagen, Naples and Rome, Naples and London, London and Rome, Berlin and Vilnius, Porto and Berlin, Prague and Tallinn, Edinburgh and Berlin, London and Prague, Rome and Prague, Rome and Copenhagen, Edinburgh and Copenhagen, London and Copenhagen, Edinburgh and Porto, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Berlin. You plan to visit relatives in Berlin between day 15 and day 16. You want to spend 2 days in Rome. You plan to stay in Vilnius for 4 days. You plan to stay in Edinburgh for 4 days. You want to spend 5 days in London. During day 4 and day 8, you have to attend a conference in London. You plan to stay in Naples for 4 days. You would like to visit Copenhagen for 2 days. You are going to attend a wedding in Copenhagen between day 16 and day 17. You want to spend 4 days in Porto. You plan to stay in Tallinn for 3 days. You would like to visit Prague for 3 days. From day 17 to day 19, there is a annual show you want to attend in Prague.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Prague, from Copenhagen to Vilnius, from Copenhagen to Tallinn, from Berlin to Tallinn, from London to Berlin, from Rome to Edinburgh, from Rome to Berlin, from Edinburgh to Prague, from Berlin to Copenhagen, from Naples to Berlin, from London to Edinburgh, from Naples to Copenhagen, from Porto to Copenhagen, from Naples to Rome, from Naples to London, from London to Rome, from Berlin to Vilnius, from Porto to Berlin, from Prague to Tallinn, from Edinburgh to Berlin, from London to Prague, from Rome to Prague, from Rome to Copenhagen, from Edinburgh to Copenhagen, from London to Copenhagen, from Edinburgh to Porto, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Edinburgh.\n**Day 9-12:** Visit Edinburgh for 4 days.\n**Day 12:** Fly from Edinburgh to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Copenhagen.\n**Day 16-17:** Visit Copenhagen for 2 days.\n**Day 17:** Fly from Copenhagen to Prague.\n**Day 17-19:** Visit Prague for 3 days.\n**Day 19:** Fly from Prague to Tallinn.\n**Day 19-21:** Visit Tallinn for 3 days.\n**Day 21:** Fly from Tallinn to Vilnius.\n**Day 21-24:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1452",
    "estimated_output_tokens": 3646,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Rome, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Naples, Duration: 4 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Porto, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 4 - 8.\n* City: Berlin, Fixed Schedule: Day 15 - 16.\n* City: Copenhagen, Fixed Schedule: Day 16 - 17.\n* City: Prague, Fixed Schedule: Day 17 - 19.\n\nCities needing arrangement:\n* City: Rome, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Porto, Duration: 4 days.\n* City: Tallinn, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Rome, Vilnius, Edinburgh, Naples, Porto, Tallinn] and explore these options in order.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Rome is Day 2. The arrival day of London is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Edinburgh, Naples, Porto, Tallinn] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 4 - 8).\n   |- The departure day of Edinburgh is Day 5. The arrival day of London is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Rome to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Rome to Tallinn.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Vilnius is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Vilnius to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Edinburgh is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Edinburgh to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 4 - 8).\n |- The departure day of Naples is Day 4. The arrival day of London is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: London.\n   |- Try arranging to visit London from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Naples to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 15 - 16).\n   |- The departure day of London is Day 8. The arrival day of Berlin is Day 15. Day 8 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Naples, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Vilnius, Edinburgh, Porto, Tallinn] and explore these options in order.\n     |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from London to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 15 - 16).\n     |- The departure day of Rome is Day 9. The arrival day of Berlin is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Naples, London, Rome].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Edinburgh, Porto, Tallinn] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Rome to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Rome to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 15 - 16).\n       |- The departure day of Edinburgh is Day 12. The arrival day of Berlin is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Naples, London, Rome, Edinburgh].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto, Tallinn] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Edinburgh to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Edinburgh to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Berlin (Day 15 - 16).\n         |- The departure day of Porto is Day 15. The arrival day of Berlin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Naples, London, Rome, Edinburgh, Porto].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Porto to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Copenhagen (Day 16 - 17).\n           |- The departure day of Berlin is Day 16. The arrival day of Copenhagen is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, London, Rome, Edinburgh, Porto, Berlin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Copenhagen.\n             |- Try arranging to visit Copenhagen from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Berlin to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Prague (Day 17 - 19).\n             |- The departure day of Copenhagen is Day 17. The arrival day of Prague is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Naples, London, Rome, Edinburgh, Porto, Berlin, Copenhagen].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Prague.\n               |- Try arranging to visit Prague from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Copenhagen to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Naples, London, Rome, Edinburgh, Porto, Berlin, Copenhagen, Prague].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Prague to Vilnius.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Tallinn from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Prague to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Naples, London, Rome, Edinburgh, Porto, Berlin, Copenhagen, Prague, Tallinn].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Tallinn to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Naples, London, Rome, Edinburgh, Porto, Berlin, Copenhagen, Prague, Tallinn, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Naples and visit Naples for 4 days.\n**Day 4:** Fly from Naples to London.\n**Day 4-8:** Visit London for 5 days.\n**Day 8:** Fly from London to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Edinburgh.\n**Day 9-12:** Visit Edinburgh for 4 days.\n**Day 12:** Fly from Edinburgh to Porto.\n**Day 12-15:** Visit Porto for 4 days.\n**Day 15:** Fly from Porto to Berlin.\n**Day 15-16:** Visit Berlin for 2 days.\n**Day 16:** Fly from Berlin to Copenhagen.\n**Day 16-17:** Visit Copenhagen for 2 days.\n**Day 17:** Fly from Copenhagen to Prague.\n**Day 17-19:** Visit Prague for 3 days.\n**Day 19:** Fly from Prague to Tallinn.\n**Day 19-21:** Visit Tallinn for 3 days.\n**Day 21:** Fly from Tallinn to Vilnius.\n**Day 21-24:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Nice**Barcelona**Lisbon**Krakow**Frankfurt**Edinburgh**Seville**Munich**Warsaw",
    "ground_truth_durations": "3**3**3**2**3**3**2**2**4**2",
    "num_cities": 10,
    "total_days": 18,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Seville",
        "Munich"
      ],
      [
        "Nice",
        "Munich"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Nice",
        "Lisbon"
      ],
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Lisbon",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You are going to attend a wedding in Barcelona between day 5 and day 7. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 17 and day 18. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 7 and day 8. You want to spend 4 days in Munich. You would like to visit Krakow for 3 days. You plan to stay in Seville for 2 days. You plan to stay in Reykjavik for 3 days. You want to spend 3 days in Frankfurt. You would like to meet your friends at Frankfurt between day 10 and day 12 to tour together. You plan to stay in Nice for 3 days. From day 3 to day 5, there is a annual show you want to attend in Nice. You plan to stay in Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nReykjavik and Barcelona, Reykjavik and Warsaw, Barcelona and Munich, Barcelona and Warsaw, Lisbon and Frankfurt, Krakow and Munich, Nice and Edinburgh, Seville and Munich, Nice and Munich, Nice and Warsaw, Reykjavik and Frankfurt, Nice and Frankfurt, Frankfurt and Edinburgh, Reykjavik and Lisbon, Krakow and Frankfurt, Krakow and Edinburgh, Lisbon and Krakow, Reykjavik and Nice, Nice and Lisbon, Nice and Barcelona, Edinburgh and Seville, Frankfurt and Munich, Edinburgh and Munich, Reykjavik and Munich, Munich and Warsaw, Frankfurt and Warsaw, Barcelona and Edinburgh, Barcelona and Lisbon, Barcelona and Frankfurt, Barcelona and Seville, Lisbon and Seville, Krakow and Warsaw, Lisbon and Warsaw, Barcelona and Krakow, Lisbon and Munich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 18 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 3 days. You are going to attend a wedding in Barcelona between day 5 and day 7. You would like to visit Warsaw for 2 days. You plan to visit relatives in Warsaw between day 17 and day 18. You plan to stay in Lisbon for 2 days. You want to meet a friend in Lisbon between day 7 and day 8. You want to spend 4 days in Munich. You would like to visit Krakow for 3 days. You plan to stay in Seville for 2 days. You plan to stay in Reykjavik for 3 days. You want to spend 3 days in Frankfurt. You would like to meet your friends at Frankfurt between day 10 and day 12 to tour together. You plan to stay in Nice for 3 days. From day 3 to day 5, there is a annual show you want to attend in Nice. You plan to stay in Edinburgh for 2 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Barcelona, from Reykjavik to Warsaw, from Barcelona to Munich, from Barcelona to Warsaw, from Lisbon to Frankfurt, from Krakow to Munich, from Nice to Edinburgh, from Seville to Munich, from Nice to Munich, from Nice to Warsaw, from Reykjavik to Frankfurt, from Nice to Frankfurt, from Frankfurt to Edinburgh, from Reykjavik to Lisbon, from Krakow to Frankfurt, from Krakow to Edinburgh, from Lisbon to Krakow, from Reykjavik to Nice, from Nice to Lisbon, from Nice to Barcelona, from Edinburgh to Seville, from Frankfurt to Munich, from Edinburgh to Munich, from Reykjavik to Munich, from Munich to Warsaw, from Frankfurt to Warsaw, from Barcelona to Edinburgh, from Barcelona to Lisbon, from Barcelona to Frankfurt, from Barcelona to Seville, from Lisbon to Seville, from Krakow to Warsaw, from Lisbon to Warsaw, from Barcelona to Krakow, from Lisbon to Munich.\n\nFind a trip plan of visiting the cities for 18 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 18 days:\n\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Nice.\n**Day 3-5:** Visit Nice for 3 days.\n**Day 5:** Fly from Nice to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.\n**Day 10:** Fly from Krakow to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Seville.\n**Day 13-14:** Visit Seville for 2 days.\n**Day 14:** Fly from Seville to Munich.\n**Day 14-17:** Visit Munich for 4 days.\n**Day 17:** Fly from Munich to Warsaw.\n**Day 17-18:** Visit Warsaw for 2 days.",
    "id": "trip_planning_example_1453",
    "estimated_output_tokens": 4174,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Warsaw, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Munich, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Edinburgh, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 3 - 5.\n* City: Barcelona, Fixed Schedule: Day 5 - 7.\n* City: Lisbon, Fixed Schedule: Day 7 - 8.\n* City: Frankfurt, Fixed Schedule: Day 10 - 12.\n* City: Warsaw, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Seville, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Krakow, Seville, Reykjavik, Edinburgh] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 3 - 5).\n |- The departure day of Munich is Day 4. The arrival day of Nice is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 3 - 5).\n |- The departure day of Krakow is Day 3. The arrival day of Nice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Krakow to Nice.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 3 - 5).\n |- The departure day of Seville is Day 2. The arrival day of Nice is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Krakow, Reykjavik, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Seville to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 3 - 5).\n   |- The departure day of Munich is Day 5. The arrival day of Nice is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Seville to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Seville to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Seville to Edinburgh.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 3 - 5).\n |- The departure day of Reykjavik is Day 3. The arrival day of Nice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Nice.\n   |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Barcelona (Day 5 - 7).\n   |- The departure day of Nice is Day 5. The arrival day of Barcelona is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Nice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Barcelona.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Nice to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 7 - 8).\n     |- The departure day of Barcelona is Day 7. The arrival day of Lisbon is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Reykjavik, Nice, Barcelona].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Barcelona to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 10 - 12).\n       |- The departure day of Lisbon is Day 8. The arrival day of Frankfurt is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Reykjavik, Nice, Barcelona, Lisbon].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Krakow, Seville, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Munich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Lisbon to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 10 - 12).\n         |- The departure day of Munich is Day 11. The arrival day of Frankfurt is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Krakow from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Lisbon to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 10 - 12).\n         |- The departure day of Krakow is Day 10. The arrival day of Frankfurt is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Krakow to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 17 - 18).\n           |- The departure day of Frankfurt is Day 12. The arrival day of Warsaw is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Seville, Edinburgh] and explore these options in order.\n             |- Try arranging to visit Munich from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Frankfurt to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 17 - 18).\n             |- The departure day of Munich is Day 15. The arrival day of Warsaw is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Munich].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh] and explore these options in order.\n               |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Munich to Seville.\n               |- No. Drop this branch.\n               |- Try arranging to visit Edinburgh from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Munich to Edinburgh.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Frankfurt to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Frankfurt to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 17 - 18).\n             |- The departure day of Edinburgh is Day 13. The arrival day of Warsaw is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Edinburgh].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Munich, Seville] and explore these options in order.\n               |- Try arranging to visit Munich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Edinburgh to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 17 - 18).\n               |- The departure day of Munich is Day 16. The arrival day of Warsaw is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Edinburgh, Munich].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n                 |- Check for direct flight from Munich to Seville.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n               |- Check for direct flight from Edinburgh to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 17 - 18).\n               |- The departure day of Seville is Day 14. The arrival day of Warsaw is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 14. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Edinburgh, Seville].\n                |- Check whether the city with an arrival day of Day 14 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n                 |- Try arranging to visit Munich from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n                 |- Check for direct flight from Seville to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 17 - 18).\n                 |- The departure day of Munich is Day 17. The arrival day of Warsaw is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Edinburgh, Seville, Munich].\n                  |- Check whether the city with an arrival day of Day 17 - is fixed.\n                  |- Yes. The city with an arrival day of Day 17 - is fixed: Warsaw.\n                   |- Try arranging to visit Warsaw from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                   |- Check for direct flight from Munich to Warsaw.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 18. Current plan: [Reykjavik, Nice, Barcelona, Lisbon, Krakow, Frankfurt, Edinburgh, Seville, Munich, Warsaw].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Nice.\n**Day 3-5:** Visit Nice for 3 days.\n**Day 5:** Fly from Nice to Barcelona.\n**Day 5-7:** Visit Barcelona for 3 days.\n**Day 7:** Fly from Barcelona to Lisbon.\n**Day 7-8:** Visit Lisbon for 2 days.\n**Day 8:** Fly from Lisbon to Krakow.\n**Day 8-10:** Visit Krakow for 3 days.\n**Day 10:** Fly from Krakow to Frankfurt.\n**Day 10-12:** Visit Frankfurt for 3 days.\n**Day 12:** Fly from Frankfurt to Edinburgh.\n**Day 12-13:** Visit Edinburgh for 2 days.\n**Day 13:** Fly from Edinburgh to Seville.\n**Day 13-14:** Visit Seville for 2 days.\n**Day 14:** Fly from Seville to Munich.\n**Day 14-17:** Visit Munich for 4 days.\n**Day 17:** Fly from Munich to Warsaw.\n**Day 17-18:** Visit Warsaw for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Paris**Vilnius**Istanbul**Helsinki**Krakow**London**Mykonos**Vienna**Seville",
    "ground_truth_durations": "5**3**3**4**4**2**3**5**3**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 15,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Paris",
        "Vienna"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "London",
        "Vienna"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Helsinki",
        "London"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Vilnius",
        "Vienna"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Istanbul",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You would like to visit Lyon for 5 days. You have to attend a workshop in Lyon between day 1 and day 5. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 9 and day 12. You want to spend 3 days in Vienna. You would like to visit Seville for 5 days. You want to spend 3 days in Paris. You plan to stay in Helsinki for 4 days. You want to spend 5 days in Mykonos. You plan to stay in Vilnius for 3 days. You want to spend 2 days in Krakow. During day 15 and day 16, you have to attend a conference in Krakow.\n\nHere are the cities that have direct flights:\nIstanbul and Vienna, Paris and Helsinki, Paris and Seville, Paris and Vienna, Mykonos and Vienna, Paris and Istanbul, London and Vienna, London and Mykonos, Vienna and Seville, Vilnius and Helsinki, Lyon and Paris, Paris and Vilnius, Helsinki and London, Helsinki and Krakow, Lyon and London, Istanbul and Krakow, Paris and London, Lyon and Istanbul, Krakow and Vienna, Vilnius and Vienna, Krakow and London, Helsinki and Vienna, Vilnius and Istanbul, Istanbul and London, Lyon and Vienna, from Krakow to Vilnius, Paris and Krakow, Istanbul and Helsinki.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit London for 3 days. You would like to visit Lyon for 5 days. You have to attend a workshop in Lyon between day 1 and day 5. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 9 and day 12. You want to spend 3 days in Vienna. You would like to visit Seville for 5 days. You want to spend 3 days in Paris. You plan to stay in Helsinki for 4 days. You want to spend 5 days in Mykonos. You plan to stay in Vilnius for 3 days. You want to spend 2 days in Krakow. During day 15 and day 16, you have to attend a conference in Krakow.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Vienna, from Paris to Helsinki, from Paris to Seville, from Paris to Vienna, from Mykonos to Vienna, from Paris to Istanbul, from London to Vienna, from London to Mykonos, from Vienna to Seville, from Vilnius to Helsinki, from Lyon to Paris, from Paris to Vilnius, from Helsinki to London, from Helsinki to Krakow, from Lyon to London, from Istanbul to Krakow, from Paris to London, from Lyon to Istanbul, from Krakow to Vienna, from Vilnius to Vienna, from Krakow to London, from Helsinki to Vienna, from Vilnius to Istanbul, from Istanbul to London, from Lyon to Vienna, from Krakow to Vilnius, from Paris to Krakow, from Istanbul to Helsinki.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Vilnius.\n**Day 7-9:** Visit Vilnius for 3 days.\n**Day 9:** Fly from Vilnius to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Helsinki.\n**Day 12-15:** Visit Helsinki for 4 days.\n**Day 15:** Fly from Helsinki to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Mykonos.\n**Day 18-22:** Visit Mykonos for 5 days.\n**Day 22:** Fly from Mykonos to Vienna.\n**Day 22-24:** Visit Vienna for 3 days.\n**Day 24:** Fly from Vienna to Seville.\n**Day 24-28:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1454",
    "estimated_output_tokens": 6255,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Vienna, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 5.\n* City: Istanbul, Fixed Schedule: Day 9 - 12.\n* City: Krakow, Fixed Schedule: Day 15 - 16.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Vienna, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Mykonos, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 12).\n |- The departure day of Lyon is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Vienna, Seville, Paris, Helsinki, Mykonos, Vilnius] and explore these options in order.\n   |- Try arranging to visit London from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 12).\n   |- The departure day of London is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, London].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Seville, Paris, Helsinki, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Vienna is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, London, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vienna to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from London to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from London to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Mykonos is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from London to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 12).\n   |- The departure day of Vienna is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Seville, Paris, Helsinki, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Seville is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Vienna to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lyon to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 12).\n   |- The departure day of Paris is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Vienna, Seville, Helsinki, Mykonos, Vilnius] and explore these options in order.\n     |- Try arranging to visit London from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of London is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, London].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from London to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Vienna is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Vienna].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vienna to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Seville is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Helsinki is Day 10. The arrival day of Istanbul is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Paris to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 12).\n     |- The departure day of Vilnius is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Vilnius to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 15 - 16).\n       |- The departure day of Istanbul is Day 12. The arrival day of Krakow is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Paris, Vilnius, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [London, Vienna, Seville, Helsinki, Mykonos] and explore these options in order.\n         |- Try arranging to visit London from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 15 - 16).\n         |- The departure day of London is Day 14. The arrival day of Krakow is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Paris, Vilnius, Istanbul, London].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Seville, Helsinki, Mykonos] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from London to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 15 - 16).\n           |- The departure day of Vienna is Day 16. The arrival day of Krakow is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from London to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from London to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from London to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 15 - 16).\n           |- The departure day of Mykonos is Day 18. The arrival day of Krakow is Day 15. Day 18 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 15 - 16).\n         |- The departure day of Vienna is Day 14. The arrival day of Krakow is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Paris, Vilnius, Istanbul, Vienna].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Seville, Helsinki, Mykonos] and explore these options in order.\n           |- Try arranging to visit London from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vienna to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Krakow (Day 15 - 16).\n           |- The departure day of Seville is Day 18. The arrival day of Krakow is Day 15. Day 18 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Vienna to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vienna to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Istanbul to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Istanbul to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 15 - 16).\n         |- The departure day of Helsinki is Day 15. The arrival day of Krakow is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Helsinki to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London, Vienna, Seville, Mykonos] and explore these options in order.\n             |- Try arranging to visit London from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Krakow to London.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna, Seville, Mykonos] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from London to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London, Vienna].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Vienna to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London, Vienna, Seville].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Seville to Mykonos.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Mykonos from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Vienna to Mykonos.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Seville from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from London to Seville.\n               |- No. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from London to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London, Mykonos].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vienna, Seville] and explore these options in order.\n                 |- Try arranging to visit Vienna from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Mykonos to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London, Mykonos, Vienna].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Vienna to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Lyon, Paris, Vilnius, Istanbul, Helsinki, Krakow, London, Mykonos, Vienna, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Paris.\n**Day 5-7:** Visit Paris for 3 days.\n**Day 7:** Fly from Paris to Vilnius.\n**Day 7-9:** Visit Vilnius for 3 days.\n**Day 9:** Fly from Vilnius to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Helsinki.\n**Day 12-15:** Visit Helsinki for 4 days.\n**Day 15:** Fly from Helsinki to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to London.\n**Day 16-18:** Visit London for 3 days.\n**Day 18:** Fly from London to Mykonos.\n**Day 18-22:** Visit Mykonos for 5 days.\n**Day 22:** Fly from Mykonos to Vienna.\n**Day 22-24:** Visit Vienna for 3 days.\n**Day 24:** Fly from Vienna to Seville.\n**Day 24-28:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Amsterdam**Rome**Prague**Lisbon**Hamburg**Stuttgart**Stockholm**Vienna**Vilnius",
    "ground_truth_durations": "4**3**2**4**5**5**4**4**5**2",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Amsterdam",
        "Prague"
      ],
      [
        "Amsterdam",
        "Rome"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Vienna"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Stuttgart",
        "Vienna"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Prague",
        "Vienna"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Milan",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 5 days. You plan to stay in Rome for 2 days. You would like to meet your friends at Rome between day 6 and day 7 to tour together. You would like to visit Amsterdam for 3 days. You have to attend a workshop in Amsterdam between day 4 and day 6. You want to spend 4 days in Stuttgart. You plan to visit relatives in Stuttgart between day 18 and day 21. You would like to visit Vienna for 5 days. You would like to visit Milan for 4 days. During day 1 and day 4, you have to attend a conference in Milan. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 21 and day 24. You plan to stay in Hamburg for 5 days. You want to spend 2 days in Vilnius. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nPrague and Stockholm, Amsterdam and Stockholm, Stuttgart and Stockholm, Hamburg and Stuttgart, Rome and Vienna, Milan and Stockholm, Hamburg and Stockholm, Vienna and Vilnius, Milan and Lisbon, Rome and Hamburg, Hamburg and Vienna, Milan and Prague, Amsterdam and Prague, Amsterdam and Rome, Milan and Vienna, Milan and Hamburg, Stockholm and Vienna, Milan and Stuttgart, Amsterdam and Stuttgart, Amsterdam and Hamburg, Milan and Vilnius, Rome and Stockholm, Amsterdam and Vienna, Lisbon and Stuttgart, Rome and Stuttgart, Lisbon and Vienna, Amsterdam and Lisbon, Amsterdam and Vilnius, Prague and Lisbon, Stuttgart and Vienna, Rome and Prague, Lisbon and Stockholm, Rome and Lisbon, Prague and Vienna, Lisbon and Hamburg, Milan and Amsterdam.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Lisbon for 5 days. You plan to stay in Rome for 2 days. You would like to meet your friends at Rome between day 6 and day 7 to tour together. You would like to visit Amsterdam for 3 days. You have to attend a workshop in Amsterdam between day 4 and day 6. You want to spend 4 days in Stuttgart. You plan to visit relatives in Stuttgart between day 18 and day 21. You would like to visit Vienna for 5 days. You would like to visit Milan for 4 days. During day 1 and day 4, you have to attend a conference in Milan. You plan to stay in Stockholm for 4 days. You are going to attend a wedding in Stockholm between day 21 and day 24. You plan to stay in Hamburg for 5 days. You want to spend 2 days in Vilnius. You plan to stay in Prague for 4 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Stockholm, from Amsterdam to Stockholm, from Stuttgart to Stockholm, from Hamburg to Stuttgart, from Rome to Vienna, from Milan to Stockholm, from Hamburg to Stockholm, from Vienna to Vilnius, from Milan to Lisbon, from Rome to Hamburg, from Hamburg to Vienna, from Milan to Prague, from Amsterdam to Prague, from Amsterdam to Rome, from Milan to Vienna, from Milan to Hamburg, from Stockholm to Vienna, from Milan to Stuttgart, from Amsterdam to Stuttgart, from Amsterdam to Hamburg, from Milan to Vilnius, from Rome to Stockholm, from Amsterdam to Vienna, from Lisbon to Stuttgart, from Rome to Stuttgart, from Lisbon to Vienna, from Amsterdam to Lisbon, from Amsterdam to Vilnius, from Prague to Lisbon, from Stuttgart to Vienna, from Rome to Prague, from Lisbon to Stockholm, from Rome to Lisbon, from Prague to Vienna, from Lisbon to Hamburg, from Milan to Amsterdam.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.\n**Day 18:** Fly from Hamburg to Stuttgart.\n**Day 18-21:** Visit Stuttgart for 4 days.\n**Day 21:** Fly from Stuttgart to Stockholm.\n**Day 21-24:** Visit Stockholm for 4 days.\n**Day 24:** Fly from Stockholm to Vienna.\n**Day 24-28:** Visit Vienna for 5 days.\n**Day 28:** Fly from Vienna to Vilnius.\n**Day 28-29:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1455",
    "estimated_output_tokens": 5859,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 5 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Vienna, Duration: 5 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Hamburg, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 4.\n* City: Amsterdam, Fixed Schedule: Day 4 - 6.\n* City: Rome, Fixed Schedule: Day 6 - 7.\n* City: Stuttgart, Fixed Schedule: Day 18 - 21.\n* City: Stockholm, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 4 - 6).\n |- The departure day of Milan is Day 4. The arrival day of Amsterdam is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Milan to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 6 - 7).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Rome is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 18 - 21).\n     |- The departure day of Rome is Day 7. The arrival day of Stuttgart is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Milan, Amsterdam, Rome].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Vienna, Hamburg, Vilnius, Prague] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 18 - 21).\n       |- The departure day of Lisbon is Day 11. The arrival day of Stuttgart is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Amsterdam, Rome, Lisbon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Hamburg, Vilnius, Prague] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 18 - 21).\n         |- The departure day of Vienna is Day 15. The arrival day of Stuttgart is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Milan, Amsterdam, Rome, Lisbon, Vienna].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius, Prague] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Vienna to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 18 - 21).\n           |- The departure day of Vilnius is Day 16. The arrival day of Stuttgart is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Milan, Amsterdam, Rome, Lisbon, Vienna, Vilnius].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Prague] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Vilnius to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Vilnius to Prague.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Vienna to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lisbon to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 18 - 21).\n         |- The departure day of Hamburg is Day 15. The arrival day of Stuttgart is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Milan, Amsterdam, Rome, Lisbon, Hamburg].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Vilnius, Prague] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Hamburg to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 18 - 21).\n           |- The departure day of Vienna is Day 19. The arrival day of Stuttgart is Day 18. Day 19 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Hamburg to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Hamburg to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Lisbon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Lisbon to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 18 - 21).\n       |- The departure day of Vienna is Day 11. The arrival day of Stuttgart is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Amsterdam, Rome, Vienna].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Vilnius, Prague] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vienna to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Vienna to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Vienna to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 18 - 21).\n         |- The departure day of Vilnius is Day 12. The arrival day of Stuttgart is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Milan, Amsterdam, Rome, Vienna, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Prague] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Vilnius to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Vilnius to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Vienna to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Rome to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 18 - 21).\n       |- The departure day of Hamburg is Day 11. The arrival day of Stuttgart is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Milan, Amsterdam, Rome, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Vienna, Vilnius, Prague] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Lisbon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 18 - 21).\n         |- The departure day of Vienna is Day 15. The arrival day of Stuttgart is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Milan, Amsterdam, Rome, Hamburg, Vienna].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lisbon, Vilnius, Prague] and explore these options in order.\n           |- Try arranging to visit Lisbon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Vienna to Lisbon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stuttgart (Day 18 - 21).\n           |- The departure day of Vilnius is Day 16. The arrival day of Stuttgart is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Milan, Amsterdam, Rome, Hamburg, Vienna, Vilnius].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Prague] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Vilnius to Lisbon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Vilnius to Prague.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Vienna to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Hamburg to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Rome to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Rome to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 18 - 21).\n       |- The departure day of Prague is Day 10. The arrival day of Stuttgart is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Milan, Amsterdam, Rome, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lisbon, Vienna, Hamburg, Vilnius] and explore these options in order.\n         |- Try arranging to visit Lisbon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 18 - 21).\n         |- The departure day of Lisbon is Day 14. The arrival day of Stuttgart is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Hamburg, Vilnius] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lisbon to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 18 - 21).\n           |- The departure day of Vienna is Day 18. The arrival day of Stuttgart is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Vienna].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Vienna to Stuttgart.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lisbon to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 18 - 21).\n           |- The departure day of Hamburg is Day 18. The arrival day of Stuttgart is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Hamburg].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Hamburg to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Stockholm (Day 21 - 24).\n             |- The departure day of Stuttgart is Day 21. The arrival day of Stockholm is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Hamburg, Stuttgart].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Stuttgart to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Hamburg, Stuttgart, Stockholm].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vienna, Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vienna from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Stockholm to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Hamburg, Stuttgart, Stockholm, Vienna].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                   |- Check for direct flight from Vienna to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Milan, Amsterdam, Rome, Prague, Lisbon, Hamburg, Stuttgart, Stockholm, Vienna, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Rome.\n**Day 6-7:** Visit Rome for 2 days.\n**Day 7:** Fly from Rome to Prague.\n**Day 7-10:** Visit Prague for 4 days.\n**Day 10:** Fly from Prague to Lisbon.\n**Day 10-14:** Visit Lisbon for 5 days.\n**Day 14:** Fly from Lisbon to Hamburg.\n**Day 14-18:** Visit Hamburg for 5 days.\n**Day 18:** Fly from Hamburg to Stuttgart.\n**Day 18-21:** Visit Stuttgart for 4 days.\n**Day 21:** Fly from Stuttgart to Stockholm.\n**Day 21-24:** Visit Stockholm for 4 days.\n**Day 24:** Fly from Stockholm to Vienna.\n**Day 24-28:** Visit Vienna for 5 days.\n**Day 28:** Fly from Vienna to Vilnius.\n**Day 28-29:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Geneva**Dubrovnik**Madrid**Florence**Lisbon**Venice**Edinburgh**Berlin**Vilnius",
    "ground_truth_durations": "2**4**3**4**4**5**3**5**2**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Mykonos",
        "Madrid"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Geneva",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You have to attend a workshop in Geneva between day 2 and day 5. You want to spend 2 days in Vilnius. You would like to visit Dubrovnik for 3 days. You would like to visit Berlin for 2 days. You would like to meet your friends at Berlin between day 23 and day 24 to tour together. You plan to stay in Florence for 4 days. You would like to visit Venice for 3 days. You want to meet a friend in Venice between day 17 and day 19. You plan to stay in Edinburgh for 5 days. During day 19 and day 23, you have to attend a conference in Edinburgh. You plan to stay in Lisbon for 5 days. You would like to visit Mykonos for 2 days. You are going to attend a wedding in Mykonos between day 1 and day 2. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nLisbon and Berlin, Dubrovnik and Madrid, Madrid and Berlin, Geneva and Edinburgh, Florence and Lisbon, Geneva and Lisbon, Lisbon and Venice, Geneva and Dubrovnik, Venice and Berlin, Geneva and Madrid, Madrid and Venice, Madrid and Edinburgh, Madrid and Florence, Venice and Edinburgh, Berlin and Vilnius, Mykonos and Geneva, Edinburgh and Berlin, Mykonos and Madrid, Madrid and Lisbon, Geneva and Berlin.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Geneva for 4 days. You have to attend a workshop in Geneva between day 2 and day 5. You want to spend 2 days in Vilnius. You would like to visit Dubrovnik for 3 days. You would like to visit Berlin for 2 days. You would like to meet your friends at Berlin between day 23 and day 24 to tour together. You plan to stay in Florence for 4 days. You would like to visit Venice for 3 days. You want to meet a friend in Venice between day 17 and day 19. You plan to stay in Edinburgh for 5 days. During day 19 and day 23, you have to attend a conference in Edinburgh. You plan to stay in Lisbon for 5 days. You would like to visit Mykonos for 2 days. You are going to attend a wedding in Mykonos between day 1 and day 2. You would like to visit Madrid for 4 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Berlin, from Dubrovnik to Madrid, from Madrid to Berlin, from Geneva to Edinburgh, from Florence to Lisbon, from Geneva to Lisbon, from Lisbon to Venice, from Geneva to Dubrovnik, from Venice to Berlin, from Geneva to Madrid, from Madrid to Venice, from Madrid to Edinburgh, from Madrid to Florence, from Venice to Edinburgh, from Berlin to Vilnius, from Mykonos to Geneva, from Edinburgh to Berlin, from Mykonos to Madrid, from Madrid to Lisbon, from Geneva to Berlin.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Geneva.\n**Day 2-5:** Visit Geneva for 4 days.\n**Day 5:** Fly from Geneva to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Lisbon.\n**Day 13-17:** Visit Lisbon for 5 days.\n**Day 17:** Fly from Lisbon to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Edinburgh.\n**Day 19-23:** Visit Edinburgh for 5 days.\n**Day 23:** Fly from Edinburgh to Berlin.\n**Day 23-24:** Visit Berlin for 2 days.\n**Day 24:** Fly from Berlin to Vilnius.\n**Day 24-25:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1456",
    "estimated_output_tokens": 2861,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Vilnius, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Florence, Duration: 4 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Lisbon, Duration: 5 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Madrid, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 2.\n* City: Geneva, Fixed Schedule: Day 2 - 5.\n* City: Venice, Fixed Schedule: Day 17 - 19.\n* City: Edinburgh, Fixed Schedule: Day 19 - 23.\n* City: Berlin, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Madrid, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 2 - 5).\n |- The departure day of Mykonos is Day 2. The arrival day of Geneva is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Geneva.\n   |- Try arranging to visit Geneva from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Venice (Day 17 - 19).\n   |- The departure day of Geneva is Day 5. The arrival day of Venice is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik, Florence, Lisbon, Madrid] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Geneva to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Geneva to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 17 - 19).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Venice is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Mykonos, Geneva, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Florence, Lisbon, Madrid] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dubrovnik to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 17 - 19).\n       |- The departure day of Madrid is Day 10. The arrival day of Venice is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Florence, Lisbon] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Madrid to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Madrid to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Venice (Day 17 - 19).\n         |- The departure day of Florence is Day 13. The arrival day of Venice is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Lisbon] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Florence to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Florence to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 17 - 19).\n           |- The departure day of Lisbon is Day 17. The arrival day of Venice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence, Lisbon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Lisbon to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Edinburgh (Day 19 - 23).\n             |- The departure day of Venice is Day 19. The arrival day of Edinburgh is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence, Lisbon, Venice].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Edinburgh.\n               |- Try arranging to visit Edinburgh from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Venice to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Berlin (Day 23 - 24).\n               |- The departure day of Edinburgh is Day 23. The arrival day of Berlin is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence, Lisbon, Venice, Edinburgh].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Berlin.\n                 |- Try arranging to visit Berlin from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Edinburgh to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence, Lisbon, Venice, Edinburgh, Berlin].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Berlin to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Mykonos, Geneva, Dubrovnik, Madrid, Florence, Lisbon, Venice, Edinburgh, Berlin, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Geneva.\n**Day 2-5:** Visit Geneva for 4 days.\n**Day 5:** Fly from Geneva to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Madrid.\n**Day 7-10:** Visit Madrid for 4 days.\n**Day 10:** Fly from Madrid to Florence.\n**Day 10-13:** Visit Florence for 4 days.\n**Day 13:** Fly from Florence to Lisbon.\n**Day 13-17:** Visit Lisbon for 5 days.\n**Day 17:** Fly from Lisbon to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Edinburgh.\n**Day 19-23:** Visit Edinburgh for 5 days.\n**Day 23:** Fly from Edinburgh to Berlin.\n**Day 23-24:** Visit Berlin for 2 days.\n**Day 24:** Fly from Berlin to Vilnius.\n**Day 24-25:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Florence**Paris**Berlin**Venice**Stuttgart**Krakow**Valencia**Geneva**Lisbon",
    "ground_truth_durations": "4**5**5**5**2**5**2**3**3**4",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 26,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Berlin"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Stuttgart",
        "Lisbon"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Paris",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You would like to visit Paris for 5 days. During day 8 and day 12, you have to attend a conference in Paris. You plan to stay in Florence for 5 days. You want to meet a friend in Florence between day 4 and day 8. You plan to stay in Geneva for 3 days. You plan to stay in Stuttgart for 5 days. You plan to stay in Valencia for 3 days. You plan to stay in Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 26 and day 29. You plan to stay in Berlin for 5 days. You would like to meet your friends at Berlin between day 12 and day 16 to tour together. You want to spend 4 days in Zurich. You want to spend 2 days in Venice. From day 16 to day 17, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nZurich and Berlin, Zurich and Geneva, Paris and Stuttgart, Berlin and Krakow, Venice and Stuttgart, Valencia and Lisbon, Valencia and Geneva, Berlin and Geneva, Paris and Lisbon, Berlin and Valencia, Paris and Geneva, Zurich and Venice, Paris and Krakow, Stuttgart and Valencia, Berlin and Venice, Krakow and Lisbon, Geneva and Lisbon, Krakow and Valencia, Florence and Paris, Stuttgart and Krakow, Stuttgart and Lisbon, Berlin and Stuttgart, Paris and Valencia, Berlin and Lisbon, Venice and Lisbon, Paris and Venice, Zurich and Valencia, Florence and Lisbon, Zurich and Krakow, Zurich and Lisbon, from Zurich to Florence, Zurich and Paris, Paris and Berlin.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Krakow for 2 days. You would like to visit Paris for 5 days. During day 8 and day 12, you have to attend a conference in Paris. You plan to stay in Florence for 5 days. You want to meet a friend in Florence between day 4 and day 8. You plan to stay in Geneva for 3 days. You plan to stay in Stuttgart for 5 days. You plan to stay in Valencia for 3 days. You plan to stay in Lisbon for 4 days. You are going to attend a wedding in Lisbon between day 26 and day 29. You plan to stay in Berlin for 5 days. You would like to meet your friends at Berlin between day 12 and day 16 to tour together. You want to spend 4 days in Zurich. You want to spend 2 days in Venice. From day 16 to day 17, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Zurich to Berlin, from Zurich to Geneva, from Paris to Stuttgart, from Berlin to Krakow, from Venice to Stuttgart, from Valencia to Lisbon, from Valencia to Geneva, from Berlin to Geneva, from Paris to Lisbon, from Berlin to Valencia, from Paris to Geneva, from Zurich to Venice, from Paris to Krakow, from Stuttgart to Valencia, from Berlin to Venice, from Krakow to Lisbon, from Geneva to Lisbon, from Krakow to Valencia, from Florence to Paris, from Stuttgart to Krakow, from Stuttgart to Lisbon, from Berlin to Stuttgart, from Paris to Valencia, from Berlin to Lisbon, from Venice to Lisbon, from Paris to Venice, from Zurich to Valencia, from Florence to Lisbon, from Zurich to Krakow, from Zurich to Lisbon, from Zurich to Florence, from Zurich to Paris, from Paris to Berlin.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Florence.\n**Day 4-8:** Visit Florence for 5 days.\n**Day 8:** Fly from Florence to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Berlin.\n**Day 12-16:** Visit Berlin for 5 days.\n**Day 16:** Fly from Berlin to Venice.\n**Day 16-17:** Visit Venice for 2 days.\n**Day 17:** Fly from Venice to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.\n**Day 21:** Fly from Stuttgart to Krakow.\n**Day 21-22:** Visit Krakow for 2 days.\n**Day 22:** Fly from Krakow to Valencia.\n**Day 22-24:** Visit Valencia for 3 days.\n**Day 24:** Fly from Valencia to Geneva.\n**Day 24-26:** Visit Geneva for 3 days.\n**Day 26:** Fly from Geneva to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.",
    "id": "trip_planning_example_1457",
    "estimated_output_tokens": 4239,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 2 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Geneva, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 26 - 29.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Zurich, Duration: 4 days.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 4 - 8.\n* City: Paris, Fixed Schedule: Day 8 - 12.\n* City: Berlin, Fixed Schedule: Day 12 - 16.\n* City: Venice, Fixed Schedule: Day 16 - 17.\n* City: Lisbon, Fixed Schedule: Day 26 - 29.\n\nCities needing arrangement:\n* City: Krakow, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Zurich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Geneva, Stuttgart, Valencia, Zurich] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Krakow is Day 2. The arrival day of Florence is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Valencia, Zurich] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Krakow to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Krakow to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 4 - 8).\n   |- The departure day of Valencia is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Valencia to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Krakow to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Geneva is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Stuttgart, Valencia, Zurich] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Geneva to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Geneva to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Stuttgart is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Valencia is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva, Stuttgart, Zurich] and explore these options in order.\n   |- Try arranging to visit Krakow from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Valencia to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 8).\n   |- The departure day of Geneva is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Zurich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 8).\n |- The departure day of Zurich is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 8 - 12).\n   |- The departure day of Florence is Day 8. The arrival day of Paris is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Zurich, Florence].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Florence to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 12 - 16).\n     |- The departure day of Paris is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Zurich, Florence, Paris].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Paris to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 16 - 17).\n       |- The departure day of Berlin is Day 16. The arrival day of Venice is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Zurich, Florence, Paris, Berlin].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Berlin to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 26 - 29).\n         |- The departure day of Venice is Day 17. The arrival day of Lisbon is Day 26. Day 17 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Zurich, Florence, Paris, Berlin, Venice].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva, Stuttgart, Valencia] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Venice to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Venice to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Venice to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lisbon (Day 26 - 29).\n           |- The departure day of Stuttgart is Day 21. The arrival day of Lisbon is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Zurich, Florence, Paris, Berlin, Venice, Stuttgart].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Geneva, Valencia] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Stuttgart to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Lisbon (Day 26 - 29).\n             |- The departure day of Krakow is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Zurich, Florence, Paris, Berlin, Venice, Stuttgart, Krakow].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Valencia] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Krakow to Geneva.\n               |- No. Drop this branch.\n               |- Try arranging to visit Valencia from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Krakow to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Lisbon (Day 26 - 29).\n               |- The departure day of Valencia is Day 24. The arrival day of Lisbon is Day 26. Day 24 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Zurich, Florence, Paris, Berlin, Venice, Stuttgart, Krakow, Valencia].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Valencia to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Lisbon (Day 26 - 29).\n                 |- The departure day of Geneva is Day 26. The arrival day of Lisbon is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Zurich, Florence, Paris, Berlin, Venice, Stuttgart, Krakow, Valencia, Geneva].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Lisbon.\n                   |- Try arranging to visit Lisbon from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                   |- Check for direct flight from Geneva to Lisbon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Zurich, Florence, Paris, Berlin, Venice, Stuttgart, Krakow, Valencia, Geneva, Lisbon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Zurich and visit Zurich for 4 days.\n**Day 4:** Fly from Zurich to Florence.\n**Day 4-8:** Visit Florence for 5 days.\n**Day 8:** Fly from Florence to Paris.\n**Day 8-12:** Visit Paris for 5 days.\n**Day 12:** Fly from Paris to Berlin.\n**Day 12-16:** Visit Berlin for 5 days.\n**Day 16:** Fly from Berlin to Venice.\n**Day 16-17:** Visit Venice for 2 days.\n**Day 17:** Fly from Venice to Stuttgart.\n**Day 17-21:** Visit Stuttgart for 5 days.\n**Day 21:** Fly from Stuttgart to Krakow.\n**Day 21-22:** Visit Krakow for 2 days.\n**Day 22:** Fly from Krakow to Valencia.\n**Day 22-24:** Visit Valencia for 3 days.\n**Day 24:** Fly from Valencia to Geneva.\n**Day 24-26:** Visit Geneva for 3 days.\n**Day 26:** Fly from Geneva to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Prague**Florence**Barcelona**Porto**Copenhagen**Milan**Helsinki**Split",
    "ground_truth_durations": "4**2**3**4**4**2**4**3**5**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 17,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Frankfurt",
        "Barcelona"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Milan",
        "Helsinki"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You have to attend a workshop in Florence between day 7 and day 10. You plan to stay in Salzburg for 4 days. You plan to stay in Porto for 2 days. You want to meet a friend in Porto between day 13 and day 14. You would like to visit Split for 5 days. You plan to visit relatives in Split between day 23 and day 27. You would like to visit Frankfurt for 2 days. You plan to stay in Copenhagen for 4 days. You want to spend 5 days in Helsinki. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Prague. You want to spend 3 days in Milan. You would like to meet your friends at Milan between day 17 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nPrague and Helsinki, Prague and Florence, Frankfurt and Florence, Barcelona and Copenhagen, Frankfurt and Prague, Barcelona and Helsinki, Frankfurt and Barcelona, Prague and Copenhagen, Copenhagen and Milan, Barcelona and Porto, Copenhagen and Split, Prague and Split, Prague and Milan, Milan and Helsinki, Frankfurt and Porto, Barcelona and Split, Frankfurt and Copenhagen, Frankfurt and Split, Prague and Barcelona, Salzburg and Frankfurt, Frankfurt and Milan, Copenhagen and Helsinki, Helsinki and Split, Porto and Copenhagen, Milan and Split, Florence and Barcelona, Porto and Milan, Frankfurt and Helsinki, Barcelona and Milan.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Florence. You have to attend a workshop in Florence between day 7 and day 10. You plan to stay in Salzburg for 4 days. You plan to stay in Porto for 2 days. You want to meet a friend in Porto between day 13 and day 14. You would like to visit Split for 5 days. You plan to visit relatives in Split between day 23 and day 27. You would like to visit Frankfurt for 2 days. You plan to stay in Copenhagen for 4 days. You want to spend 5 days in Helsinki. You plan to stay in Barcelona for 4 days. You want to spend 3 days in Prague. You want to spend 3 days in Milan. You would like to meet your friends at Milan between day 17 and day 19 to tour together.\n\nHere are the cities that have direct flights:\nfrom Prague to Helsinki, from Prague to Florence, from Frankfurt to Florence, from Barcelona to Copenhagen, from Frankfurt to Prague, from Barcelona to Helsinki, from Frankfurt to Barcelona, from Prague to Copenhagen, from Copenhagen to Milan, from Barcelona to Porto, from Copenhagen to Split, from Prague to Split, from Prague to Milan, from Milan to Helsinki, from Frankfurt to Porto, from Barcelona to Split, from Frankfurt to Copenhagen, from Frankfurt to Split, from Prague to Barcelona, from Salzburg to Frankfurt, from Frankfurt to Milan, from Copenhagen to Helsinki, from Helsinki to Split, from Porto to Copenhagen, from Milan to Split, from Florence to Barcelona, from Porto to Milan, from Frankfurt to Helsinki, from Barcelona to Milan.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-10:** Visit Florence for 4 days.\n**Day 10:** Fly from Florence to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Helsinki.\n**Day 19-23:** Visit Helsinki for 5 days.\n**Day 23:** Fly from Helsinki to Split.\n**Day 23-27:** Visit Split for 5 days.",
    "id": "trip_planning_example_1458",
    "estimated_output_tokens": 2945,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Salzburg, Duration: 4 days.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Frankfurt, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 7 - 10.\n* City: Porto, Fixed Schedule: Day 13 - 14.\n* City: Milan, Fixed Schedule: Day 17 - 19.\n* City: Split, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Helsinki, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Salzburg, Frankfurt, Copenhagen, Helsinki, Barcelona, Prague] and explore these options in order.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 7 - 10).\n |- The departure day of Salzburg is Day 4. The arrival day of Florence is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Copenhagen, Helsinki, Barcelona, Prague] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 7 - 10).\n   |- The departure day of Frankfurt is Day 5. The arrival day of Florence is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Helsinki, Barcelona, Prague] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 10).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Florence is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Frankfurt to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 10).\n     |- The departure day of Helsinki is Day 9. The arrival day of Florence is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Frankfurt to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 10).\n     |- The departure day of Barcelona is Day 8. The arrival day of Florence is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Frankfurt to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 7 - 10).\n     |- The departure day of Prague is Day 7. The arrival day of Florence is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Salzburg, Frankfurt, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Florence.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 13 - 14).\n       |- The departure day of Florence is Day 10. The arrival day of Porto is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Frankfurt, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Helsinki, Barcelona] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Florence to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Florence to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Florence to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 13 - 14).\n         |- The departure day of Barcelona is Day 13. The arrival day of Porto is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Barcelona to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Milan (Day 17 - 19).\n           |- The departure day of Porto is Day 14. The arrival day of Milan is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona, Porto].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Helsinki] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Porto to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Milan (Day 17 - 19).\n             |- The departure day of Copenhagen is Day 17. The arrival day of Milan is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona, Porto, Copenhagen].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Milan.\n               |- Try arranging to visit Milan from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Copenhagen to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 23 - 27).\n               |- The departure day of Milan is Day 19. The arrival day of Split is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona, Porto, Copenhagen, Milan].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n                 |- Try arranging to visit Helsinki from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Milan to Helsinki.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Split (Day 23 - 27).\n                 |- The departure day of Helsinki is Day 23. The arrival day of Split is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona, Porto, Copenhagen, Milan, Helsinki].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Split.\n                   |- Try arranging to visit Split from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Helsinki to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Salzburg, Frankfurt, Prague, Florence, Barcelona, Porto, Copenhagen, Milan, Helsinki, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Florence.\n**Day 7-10:** Visit Florence for 4 days.\n**Day 10:** Fly from Florence to Barcelona.\n**Day 10-13:** Visit Barcelona for 4 days.\n**Day 13:** Fly from Barcelona to Porto.\n**Day 13-14:** Visit Porto for 2 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Helsinki.\n**Day 19-23:** Visit Helsinki for 5 days.\n**Day 23:** Fly from Helsinki to Split.\n**Day 23-27:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Berlin**Lisbon**Oslo**Riga**Tallinn**Barcelona**Bucharest**Zurich**Mykonos",
    "ground_truth_durations": "2**2**5**2**3**4**4**3**2**3",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Oslo",
        "Zurich"
      ],
      [
        "Berlin",
        "Barcelona"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Oslo",
        "Barcelona"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Tallinn",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You would like to visit Tallinn for 4 days. You would like to meet your friends at Tallinn between day 10 and day 13 to tour together. You would like to visit Oslo for 2 days. You have to attend a workshop in Oslo between day 7 and day 8. You plan to stay in Lisbon for 5 days. You plan to stay in Riga for 3 days. You want to spend 3 days in Bucharest. You would like to visit Salzburg for 2 days. You plan to stay in Zurich for 2 days. You plan to stay in Berlin for 2 days. You are going to attend a wedding in Berlin between day 2 and day 3. You would like to visit Mykonos for 3 days.\n\nHere are the cities that have direct flights:\nLisbon and Zurich, from Riga to Tallinn, Bucharest and Zurich, Oslo and Riga, Riga and Bucharest, Salzburg and Berlin, Riga and Barcelona, Oslo and Zurich, Berlin and Barcelona, Zurich and Mykonos, Berlin and Lisbon, Barcelona and Bucharest, Lisbon and Riga, Oslo and Tallinn, Lisbon and Barcelona, Oslo and Bucharest, Riga and Zurich, Berlin and Zurich, Berlin and Tallinn, Lisbon and Bucharest, Tallinn and Barcelona, Berlin and Oslo, Oslo and Barcelona, Berlin and Riga, Lisbon and Oslo, Barcelona and Zurich, Tallinn and Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Barcelona for 4 days. You would like to visit Tallinn for 4 days. You would like to meet your friends at Tallinn between day 10 and day 13 to tour together. You would like to visit Oslo for 2 days. You have to attend a workshop in Oslo between day 7 and day 8. You plan to stay in Lisbon for 5 days. You plan to stay in Riga for 3 days. You want to spend 3 days in Bucharest. You would like to visit Salzburg for 2 days. You plan to stay in Zurich for 2 days. You plan to stay in Berlin for 2 days. You are going to attend a wedding in Berlin between day 2 and day 3. You would like to visit Mykonos for 3 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Zurich, from Riga to Tallinn, from Bucharest to Zurich, from Oslo to Riga, from Riga to Bucharest, from Salzburg to Berlin, from Riga to Barcelona, from Oslo to Zurich, from Berlin to Barcelona, from Zurich to Mykonos, from Berlin to Lisbon, from Barcelona to Bucharest, from Lisbon to Riga, from Oslo to Tallinn, from Lisbon to Barcelona, from Oslo to Bucharest, from Riga to Zurich, from Berlin to Zurich, from Berlin to Tallinn, from Lisbon to Bucharest, from Tallinn to Barcelona, from Berlin to Oslo, from Oslo to Barcelona, from Berlin to Riga, from Lisbon to Oslo, from Barcelona to Zurich, from Tallinn to Zurich.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Oslo.\n**Day 7-8:** Visit Oslo for 2 days.\n**Day 8:** Fly from Oslo to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Barcelona.\n**Day 13-16:** Visit Barcelona for 4 days.\n**Day 16:** Fly from Barcelona to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-21:** Visit Mykonos for 3 days.",
    "id": "trip_planning_example_1459",
    "estimated_output_tokens": 3744,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Lisbon, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Mykonos, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 2 - 3.\n* City: Oslo, Fixed Schedule: Day 7 - 8.\n* City: Tallinn, Fixed Schedule: Day 10 - 13.\n\nCities needing arrangement:\n* City: Barcelona, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Bucharest, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Mykonos, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Barcelona, Lisbon, Riga, Bucharest, Salzburg, Zurich, Mykonos] and explore these options in order.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Barcelona is Day 4. The arrival day of Berlin is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Lisbon is Day 5. The arrival day of Berlin is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Riga is Day 3. The arrival day of Berlin is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Bucharest is Day 3. The arrival day of Berlin is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 2 - 3).\n |- The departure day of Salzburg is Day 2. The arrival day of Berlin is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Salzburg to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 7 - 8).\n   |- The departure day of Berlin is Day 3. The arrival day of Oslo is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Salzburg, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Barcelona, Lisbon, Riga, Bucharest, Zurich, Mykonos] and explore these options in order.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Berlin to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Oslo (Day 7 - 8).\n     |- The departure day of Barcelona is Day 6. The arrival day of Oslo is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Salzburg, Berlin, Barcelona].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Riga, Bucharest, Zurich, Mykonos] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Barcelona to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 7 - 8).\n       |- The departure day of Bucharest is Day 8. The arrival day of Oslo is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Barcelona to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 7 - 8).\n       |- The departure day of Zurich is Day 7. The arrival day of Oslo is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Salzburg, Berlin, Barcelona, Zurich].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Zurich to Oslo.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Barcelona to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Berlin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Oslo (Day 7 - 8).\n     |- The departure day of Lisbon is Day 7. The arrival day of Oslo is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Salzburg, Berlin, Lisbon].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Lisbon to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 10 - 13).\n       |- The departure day of Oslo is Day 8. The arrival day of Tallinn is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Salzburg, Berlin, Lisbon, Oslo].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Riga, Bucharest, Zurich, Mykonos] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Oslo to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 10 - 13).\n         |- The departure day of Barcelona is Day 11. The arrival day of Tallinn is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 10 - 13).\n         |- The departure day of Riga is Day 10. The arrival day of Tallinn is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Riga to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga, Tallinn].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Barcelona, Bucharest, Zurich, Mykonos] and explore these options in order.\n             |- Try arranging to visit Barcelona from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Tallinn to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga, Tallinn, Barcelona].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Zurich, Mykonos] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Barcelona to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga, Tallinn, Barcelona, Bucharest].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Bucharest to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga, Tallinn, Barcelona, Bucharest, Zurich].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                   |- Check for direct flight from Zurich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Salzburg, Berlin, Lisbon, Oslo, Riga, Tallinn, Barcelona, Bucharest, Zurich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Lisbon.\n**Day 3-7:** Visit Lisbon for 5 days.\n**Day 7:** Fly from Lisbon to Oslo.\n**Day 7-8:** Visit Oslo for 2 days.\n**Day 8:** Fly from Oslo to Riga.\n**Day 8-10:** Visit Riga for 3 days.\n**Day 10:** Fly from Riga to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Barcelona.\n**Day 13-16:** Visit Barcelona for 4 days.\n**Day 16:** Fly from Barcelona to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-21:** Visit Mykonos for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Paris**Rome**Helsinki**Reykjavik**Milan**Seville**Porto**Geneva**Dubrovnik",
    "ground_truth_durations": "2**5**5**5**5**2**5**3**5**5",
    "num_cities": 10,
    "total_days": 33,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 14,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "Seville",
        "Porto"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Rome",
        "Helsinki"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Bucharest",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. You want to meet a friend in Geneva between day 25 and day 29. You would like to visit Porto for 3 days. You plan to stay in Paris for 5 days. You would like to visit Milan for 2 days. You plan to stay in Bucharest for 2 days. You would like to meet your friends at Bucharest between day 1 and day 2 to tour together. You want to spend 5 days in Helsinki. You want to spend 5 days in Dubrovnik. You plan to stay in Rome for 5 days. During day 6 and day 10, you have to attend a conference in Rome. You plan to stay in Seville for 5 days. From day 19 to day 23, there is a annual show you want to attend in Seville. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 14 and day 18.\n\nHere are the cities that have direct flights:\nSeville and Porto, Porto and Geneva, Rome and Reykjavik, Paris and Geneva, Paris and Milan, Paris and Rome, Helsinki and Milan, Paris and Porto, Rome and Seville, Rome and Helsinki, Rome and Geneva, Paris and Reykjavik, Paris and Seville, Rome and Dubrovnik, Helsinki and Reykjavik, Paris and Helsinki, Helsinki and Dubrovnik, Bucharest and Rome, Geneva and Dubrovnik, Milan and Porto, Milan and Seville, Reykjavik and Milan, Helsinki and Geneva, Bucharest and Paris.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. You want to meet a friend in Geneva between day 25 and day 29. You would like to visit Porto for 3 days. You plan to stay in Paris for 5 days. You would like to visit Milan for 2 days. You plan to stay in Bucharest for 2 days. You would like to meet your friends at Bucharest between day 1 and day 2 to tour together. You want to spend 5 days in Helsinki. You want to spend 5 days in Dubrovnik. You plan to stay in Rome for 5 days. During day 6 and day 10, you have to attend a conference in Rome. You plan to stay in Seville for 5 days. From day 19 to day 23, there is a annual show you want to attend in Seville. You plan to stay in Reykjavik for 5 days. You plan to visit relatives in Reykjavik between day 14 and day 18.\n\nHere are the cities that have direct flights:\nfrom Seville to Porto, from Porto to Geneva, from Rome to Reykjavik, from Paris to Geneva, from Paris to Milan, from Paris to Rome, from Helsinki to Milan, from Paris to Porto, from Rome to Seville, from Rome to Helsinki, from Rome to Geneva, from Paris to Reykjavik, from Paris to Seville, from Rome to Dubrovnik, from Helsinki to Reykjavik, from Paris to Helsinki, from Helsinki to Dubrovnik, from Bucharest to Rome, from Geneva to Dubrovnik, from Milan to Porto, from Milan to Seville, from Reykjavik to Milan, from Helsinki to Geneva, from Bucharest to Paris.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 33 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Milan.\n**Day 18-19:** Visit Milan for 2 days.\n**Day 19:** Fly from Milan to Seville.\n**Day 19-23:** Visit Seville for 5 days.\n**Day 23:** Fly from Seville to Porto.\n**Day 23-25:** Visit Porto for 3 days.\n**Day 25:** Fly from Porto to Geneva.\n**Day 25-29:** Visit Geneva for 5 days.\n**Day 29:** Fly from Geneva to Dubrovnik.\n**Day 29-33:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1460",
    "estimated_output_tokens": 2782,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Porto, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Rome, Fixed Schedule: Day 6 - 10.\n* City: Reykjavik, Fixed Schedule: Day 14 - 18.\n* City: Seville, Fixed Schedule: Day 19 - 23.\n* City: Geneva, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Helsinki, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 6 - 10).\n |- The departure day of Bucharest is Day 2. The arrival day of Rome is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Paris, Milan, Helsinki, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 6 - 10).\n   |- The departure day of Paris is Day 6. The arrival day of Rome is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 14 - 18).\n     |- The departure day of Rome is Day 10. The arrival day of Reykjavik is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Bucharest, Paris, Rome].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Helsinki, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Rome to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Rome to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Rome to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 14 - 18).\n       |- The departure day of Helsinki is Day 14. The arrival day of Reykjavik is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Bucharest, Paris, Rome, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 19 - 23).\n         |- The departure day of Reykjavik is Day 18. The arrival day of Seville is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Milan, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Porto from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Reykjavik to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Reykjavik to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 19 - 23).\n           |- The departure day of Milan is Day 19. The arrival day of Seville is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik, Milan].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Milan to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Geneva (Day 25 - 29).\n             |- The departure day of Seville is Day 23. The arrival day of Geneva is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik, Milan, Seville].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Porto from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Seville to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Geneva (Day 25 - 29).\n               |- The departure day of Porto is Day 25. The arrival day of Geneva is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik, Milan, Seville, Porto].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Geneva.\n                 |- Try arranging to visit Geneva from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Porto to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik, Milan, Seville, Porto, Geneva].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 29. Duration: 5 days. Schedule: Day 29 - 33.\n                   |- Check for direct flight from Geneva to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 33. Current plan: [Bucharest, Paris, Rome, Helsinki, Reykjavik, Milan, Seville, Porto, Geneva, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Helsinki.\n**Day 10-14:** Visit Helsinki for 5 days.\n**Day 14:** Fly from Helsinki to Reykjavik.\n**Day 14-18:** Visit Reykjavik for 5 days.\n**Day 18:** Fly from Reykjavik to Milan.\n**Day 18-19:** Visit Milan for 2 days.\n**Day 19:** Fly from Milan to Seville.\n**Day 19-23:** Visit Seville for 5 days.\n**Day 23:** Fly from Seville to Porto.\n**Day 23-25:** Visit Porto for 3 days.\n**Day 25:** Fly from Porto to Geneva.\n**Day 25-29:** Visit Geneva for 5 days.\n**Day 29:** Fly from Geneva to Dubrovnik.\n**Day 29-33:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Stockholm**Dubrovnik**Naples**Paris**Budapest**Warsaw**Milan**Seville**Lisbon",
    "ground_truth_durations": "3**4**5**3**5**2**5**2**5**4",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 26,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Seville"
      ],
      [
        "Paris",
        "Budapest"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Krakow",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Naples",
        "Lisbon"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Milan",
        "Lisbon"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Warsaw",
        "Lisbon"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Budapest",
        "Milan"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Lisbon"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Milan. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 16 and day 17. You plan to stay in Naples for 3 days. You are going to attend a wedding in Naples between day 10 and day 12. You want to spend 4 days in Lisbon. From day 26 to day 29, there is a annual show you want to attend in Lisbon. You want to spend 3 days in Krakow. You plan to stay in Warsaw for 5 days. You want to spend 5 days in Seville. You plan to stay in Stockholm for 4 days. You would like to visit Paris for 5 days. You plan to visit relatives in Paris between day 12 and day 16.\n\nHere are the cities that have direct flights:\nMilan and Seville, Paris and Budapest, Seville and Lisbon, Krakow and Lisbon, Stockholm and Paris, Paris and Warsaw, Budapest and Warsaw, Stockholm and Lisbon, Warsaw and Milan, Paris and Milan, Dubrovnik and Naples, Krakow and Stockholm, Naples and Warsaw, Naples and Lisbon, Naples and Milan, Stockholm and Warsaw, Milan and Lisbon, Naples and Budapest, Naples and Paris, Krakow and Milan, Warsaw and Lisbon, Krakow and Warsaw, Budapest and Milan, Stockholm and Milan, Krakow and Paris, Stockholm and Dubrovnik, Budapest and Lisbon, Paris and Lisbon, Paris and Seville.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 5 days. You want to spend 2 days in Milan. You plan to stay in Budapest for 2 days. You want to meet a friend in Budapest between day 16 and day 17. You plan to stay in Naples for 3 days. You are going to attend a wedding in Naples between day 10 and day 12. You want to spend 4 days in Lisbon. From day 26 to day 29, there is a annual show you want to attend in Lisbon. You want to spend 3 days in Krakow. You plan to stay in Warsaw for 5 days. You want to spend 5 days in Seville. You plan to stay in Stockholm for 4 days. You would like to visit Paris for 5 days. You plan to visit relatives in Paris between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Milan to Seville, from Paris to Budapest, from Seville to Lisbon, from Krakow to Lisbon, from Stockholm to Paris, from Paris to Warsaw, from Budapest to Warsaw, from Stockholm to Lisbon, from Warsaw to Milan, from Paris to Milan, from Dubrovnik to Naples, from Krakow to Stockholm, from Naples to Warsaw, from Naples to Lisbon, from Naples to Milan, from Stockholm to Warsaw, from Milan to Lisbon, from Naples to Budapest, from Naples to Paris, from Krakow to Milan, from Warsaw to Lisbon, from Krakow to Warsaw, from Budapest to Milan, from Stockholm to Milan, from Krakow to Paris, from Stockholm to Dubrovnik, from Budapest to Lisbon, from Paris to Lisbon, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Budapest.\n**Day 16-17:** Visit Budapest for 2 days.\n**Day 17:** Fly from Budapest to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.\n**Day 21:** Fly from Warsaw to Milan.\n**Day 21-22:** Visit Milan for 2 days.\n**Day 22:** Fly from Milan to Seville.\n**Day 22-26:** Visit Seville for 5 days.\n**Day 26:** Fly from Seville to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.",
    "id": "trip_planning_example_1461",
    "estimated_output_tokens": 6002,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 26 - 29.\n* City: Krakow, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 10 - 12.\n* City: Paris, Fixed Schedule: Day 12 - 16.\n* City: Budapest, Fixed Schedule: Day 16 - 17.\n* City: Lisbon, Fixed Schedule: Day 26 - 29.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Milan, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Krakow, Warsaw, Seville, Stockholm] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 10 - 12).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Naples is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Krakow, Warsaw, Seville, Stockholm] and explore these options in order.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Dubrovnik to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Dubrovnik to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Dubrovnik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Dubrovnik to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 10 - 12).\n |- The departure day of Milan is Day 2. The arrival day of Naples is Day 10. Day 2 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Warsaw, Seville, Stockholm] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Milan to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 10 - 12).\n   |- The departure day of Seville is Day 6. The arrival day of Naples is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Seville].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Krakow, Warsaw, Stockholm] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Seville to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Seville to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Seville to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Milan to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 10 - 12).\n |- The departure day of Krakow is Day 3. The arrival day of Naples is Day 10. Day 3 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Warsaw, Seville, Stockholm] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Krakow to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 10 - 12).\n   |- The departure day of Milan is Day 4. The arrival day of Naples is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Krakow, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Warsaw, Seville, Stockholm] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 10 - 12).\n     |- The departure day of Seville is Day 8. The arrival day of Naples is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Milan, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Warsaw, Stockholm] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Seville to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Seville to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Seville to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Milan to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 10 - 12).\n   |- The departure day of Warsaw is Day 7. The arrival day of Naples is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Krakow, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Seville, Stockholm] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Warsaw to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 10 - 12).\n     |- The departure day of Milan is Day 8. The arrival day of Naples is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Warsaw, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Seville, Stockholm] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Milan to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 10 - 12).\n       |- The departure day of Seville is Day 12. The arrival day of Naples is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Milan to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Warsaw to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Krakow to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Krakow to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 10 - 12).\n   |- The departure day of Stockholm is Day 6. The arrival day of Naples is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Milan, Warsaw, Seville] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 10 - 12).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 12 - 16).\n       |- The departure day of Naples is Day 12. The arrival day of Paris is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Krakow, Stockholm, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Paris.\n         |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Naples to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 16 - 17).\n         |- The departure day of Paris is Day 16. The arrival day of Budapest is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Budapest.\n           |- Try arranging to visit Budapest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Paris to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 26 - 29).\n           |- The departure day of Budapest is Day 17. The arrival day of Lisbon is Day 26. Day 17 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Seville] and explore these options in order.\n             |- Try arranging to visit Milan from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Budapest to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lisbon (Day 26 - 29).\n             |- The departure day of Milan is Day 18. The arrival day of Lisbon is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Milan].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Seville] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Milan to Warsaw.\n               |- No. Drop this branch.\n               |- Try arranging to visit Seville from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Milan to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Lisbon (Day 26 - 29).\n               |- The departure day of Seville is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Milan, Seville].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                 |- Try arranging to visit Warsaw from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Seville to Warsaw.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Budapest to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Lisbon (Day 26 - 29).\n             |- The departure day of Warsaw is Day 21. The arrival day of Lisbon is Day 26. Day 21 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Warsaw].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Milan, Seville] and explore these options in order.\n               |- Try arranging to visit Milan from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Warsaw to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Lisbon (Day 26 - 29).\n               |- The departure day of Milan is Day 22. The arrival day of Lisbon is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Warsaw, Milan].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Milan to Seville.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Lisbon (Day 26 - 29).\n                 |- The departure day of Seville is Day 26. The arrival day of Lisbon is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Warsaw, Milan, Seville].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Lisbon.\n                   |- Try arranging to visit Lisbon from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                   |- Check for direct flight from Seville to Lisbon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Krakow, Stockholm, Dubrovnik, Naples, Paris, Budapest, Warsaw, Milan, Seville, Lisbon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Krakow and visit Krakow for 3 days.\n**Day 3:** Fly from Krakow to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Dubrovnik.\n**Day 6-10:** Visit Dubrovnik for 5 days.\n**Day 10:** Fly from Dubrovnik to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Paris.\n**Day 12-16:** Visit Paris for 5 days.\n**Day 16:** Fly from Paris to Budapest.\n**Day 16-17:** Visit Budapest for 2 days.\n**Day 17:** Fly from Budapest to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.\n**Day 21:** Fly from Warsaw to Milan.\n**Day 21-22:** Visit Milan for 2 days.\n**Day 22:** Fly from Milan to Seville.\n**Day 22-26:** Visit Seville for 5 days.\n**Day 26:** Fly from Seville to Lisbon.\n**Day 26-29:** Visit Lisbon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**London**Reykjavik**Berlin**Madrid**Naples**Budapest**Warsaw**Munich**Seville",
    "ground_truth_durations": "5**5**4**4**4**3**2**3**3**3",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Naples",
        "Budapest"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You plan to stay in Reykjavik for 4 days. You want to spend 5 days in London. You want to spend 3 days in Seville. You would like to visit Warsaw for 3 days. You have to attend a workshop in Warsaw between day 21 and day 23. You plan to stay in Budapest for 2 days. You would like to meet your friends at Budapest between day 20 and day 21 to tour together. You plan to stay in Venice for 5 days. During day 1 and day 5, you have to attend a conference in Venice. You want to spend 4 days in Berlin. You want to meet a friend in Berlin between day 12 and day 15. You plan to stay in Madrid for 4 days. From day 15 to day 18, there is a annual show you want to attend in Madrid. You plan to stay in Munich for 3 days.\n\nHere are the cities that have direct flights:\nReykjavik and Budapest, Madrid and Warsaw, Reykjavik and Berlin, Warsaw and Munich, London and Budapest, Munich and Seville, Venice and Munich, Berlin and Naples, London and Berlin, London and Naples, London and Warsaw, Berlin and Madrid, Budapest and Munich, Venice and Madrid, Naples and Warsaw, London and Madrid, Berlin and Munich, Madrid and Naples, from Reykjavik to Madrid, Berlin and Budapest, Venice and London, Madrid and Budapest, Naples and Budapest, London and Reykjavik, Reykjavik and Munich, London and Munich, Madrid and Munich, Venice and Berlin, Budapest and Warsaw, Madrid and Seville, Naples and Munich, Reykjavik and Warsaw, Berlin and Warsaw, Venice and Naples, Venice and Warsaw.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Naples. You plan to stay in Reykjavik for 4 days. You want to spend 5 days in London. You want to spend 3 days in Seville. You would like to visit Warsaw for 3 days. You have to attend a workshop in Warsaw between day 21 and day 23. You plan to stay in Budapest for 2 days. You would like to meet your friends at Budapest between day 20 and day 21 to tour together. You plan to stay in Venice for 5 days. During day 1 and day 5, you have to attend a conference in Venice. You want to spend 4 days in Berlin. You want to meet a friend in Berlin between day 12 and day 15. You plan to stay in Madrid for 4 days. From day 15 to day 18, there is a annual show you want to attend in Madrid. You plan to stay in Munich for 3 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Budapest, from Madrid to Warsaw, from Reykjavik to Berlin, from Warsaw to Munich, from London to Budapest, from Munich to Seville, from Venice to Munich, from Berlin to Naples, from London to Berlin, from London to Naples, from London to Warsaw, from Berlin to Madrid, from Budapest to Munich, from Venice to Madrid, from Naples to Warsaw, from London to Madrid, from Berlin to Munich, from Madrid to Naples, from Reykjavik to Madrid, from Berlin to Budapest, from Venice to London, from Madrid to Budapest, from Naples to Budapest, from London to Reykjavik, from Reykjavik to Munich, from London to Munich, from Madrid to Munich, from Venice to Berlin, from Budapest to Warsaw, from Madrid to Seville, from Naples to Munich, from Reykjavik to Warsaw, from Berlin to Warsaw, from Venice to Naples, from Venice to Warsaw.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.\n**Day 15:** Fly from Berlin to Madrid.\n**Day 15-18:** Visit Madrid for 4 days.\n**Day 18:** Fly from Madrid to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Budapest.\n**Day 20-21:** Visit Budapest for 2 days.\n**Day 21:** Fly from Budapest to Warsaw.\n**Day 21-23:** Visit Warsaw for 3 days.\n**Day 23:** Fly from Warsaw to Munich.\n**Day 23-25:** Visit Munich for 3 days.\n**Day 25:** Fly from Munich to Seville.\n**Day 25-27:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1462",
    "estimated_output_tokens": 4026,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: London, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Madrid, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Munich, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 5.\n* City: Berlin, Fixed Schedule: Day 12 - 15.\n* City: Madrid, Fixed Schedule: Day 15 - 18.\n* City: Budapest, Fixed Schedule: Day 20 - 21.\n* City: Warsaw, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Naples, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days.\n* City: London, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 12 - 15).\n |- The departure day of Venice is Day 5. The arrival day of Berlin is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Reykjavik, London, Seville, Munich] and explore these options in order.\n   |- Try arranging to visit Naples from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 12 - 15).\n   |- The departure day of Naples is Day 7. The arrival day of Berlin is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Naples].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, London, Seville, Munich] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Naples to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Naples to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Naples to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Naples to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 12 - 15).\n     |- The departure day of Munich is Day 9. The arrival day of Berlin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Naples, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, London, Seville] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Munich to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Munich to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 12 - 15).\n       |- The departure day of Seville is Day 11. The arrival day of Berlin is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Naples, Munich, Seville].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, London] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Seville to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Seville to London.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 12 - 15).\n   |- The departure day of London is Day 9. The arrival day of Berlin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Venice, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Reykjavik, Seville, Munich] and explore these options in order.\n     |- Try arranging to visit Naples from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 12 - 15).\n     |- The departure day of Naples is Day 11. The arrival day of Berlin is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, London, Naples].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Munich] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Naples to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Naples to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Naples to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 12 - 15).\n       |- The departure day of Munich is Day 13. The arrival day of Berlin is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from London to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 12 - 15).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Berlin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Venice, London, Reykjavik].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n       |- Check for direct flight from Reykjavik to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Madrid (Day 15 - 18).\n       |- The departure day of Berlin is Day 15. The arrival day of Madrid is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Venice, London, Reykjavik, Berlin].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Berlin to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Budapest (Day 20 - 21).\n         |- The departure day of Madrid is Day 18. The arrival day of Budapest is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Venice, London, Reykjavik, Berlin, Madrid].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Seville, Munich] and explore these options in order.\n           |- Try arranging to visit Naples from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Madrid to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Budapest (Day 20 - 21).\n           |- The departure day of Naples is Day 20. The arrival day of Budapest is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Venice, London, Reykjavik, Berlin, Madrid, Naples].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Naples to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Warsaw (Day 21 - 23).\n             |- The departure day of Budapest is Day 21. The arrival day of Warsaw is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Venice, London, Reykjavik, Berlin, Madrid, Naples, Budapest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Budapest to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Venice, London, Reykjavik, Berlin, Madrid, Naples, Budapest, Warsaw].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Munich] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Warsaw to Seville.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Munich from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Warsaw to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Venice, London, Reykjavik, Berlin, Madrid, Naples, Budapest, Warsaw, Munich].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                   |- Check for direct flight from Munich to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Venice, London, Reykjavik, Berlin, Madrid, Naples, Budapest, Warsaw, Munich, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Berlin.\n**Day 12-15:** Visit Berlin for 4 days.\n**Day 15:** Fly from Berlin to Madrid.\n**Day 15-18:** Visit Madrid for 4 days.\n**Day 18:** Fly from Madrid to Naples.\n**Day 18-20:** Visit Naples for 3 days.\n**Day 20:** Fly from Naples to Budapest.\n**Day 20-21:** Visit Budapest for 2 days.\n**Day 21:** Fly from Budapest to Warsaw.\n**Day 21-23:** Visit Warsaw for 3 days.\n**Day 23:** Fly from Warsaw to Munich.\n**Day 23-25:** Visit Munich for 3 days.\n**Day 25:** Fly from Munich to Seville.\n**Day 25-27:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Zurich**Dubrovnik**Naples**London**Prague**Reykjavik**Nice**Berlin**Salzburg",
    "ground_truth_durations": "4**4**2**2**4**4**3**2**5**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 17,
        "end_day": 18
      }
    ],
    "connected_cities": [
      [
        "London",
        "Nice"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Naples",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Naples",
        "London"
      ],
      [
        "Zurich",
        "Berlin"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Zurich",
        "London"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You plan to stay in Dubrovnik for 2 days. You plan to stay in Berlin for 5 days. You plan to stay in Salzburg for 3 days. You plan to stay in London for 4 days. You want to spend 4 days in Zurich. From day 4 to day 7, there is a annual show you want to attend in Zurich. You would like to visit Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 1 and day 4. You plan to stay in Reykjavik for 3 days. You plan to stay in Prague for 4 days. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 17 and day 18.\n\nHere are the cities that have direct flights:\nLondon and Nice, Berlin and Salzburg, Copenhagen and Dubrovnik, Copenhagen and London, London and Berlin, Copenhagen and Naples, Copenhagen and Prague, Naples and Nice, Naples and Berlin, Copenhagen and Reykjavik, London and Reykjavik, Nice and Berlin, Copenhagen and Zurich, Copenhagen and Berlin, London and Prague, Reykjavik and Nice, Zurich and Nice, Naples and London, Zurich and Berlin, Reykjavik and Berlin, Zurich and Naples, Dubrovnik and Naples, Prague and Reykjavik, Zurich and Reykjavik, Copenhagen and Nice, Zurich and London, Zurich and Prague, Zurich and Dubrovnik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You plan to stay in Dubrovnik for 2 days. You plan to stay in Berlin for 5 days. You plan to stay in Salzburg for 3 days. You plan to stay in London for 4 days. You want to spend 4 days in Zurich. From day 4 to day 7, there is a annual show you want to attend in Zurich. You would like to visit Copenhagen for 4 days. You are going to attend a wedding in Copenhagen between day 1 and day 4. You plan to stay in Reykjavik for 3 days. You plan to stay in Prague for 4 days. You plan to stay in Nice for 2 days. You have to attend a workshop in Nice between day 17 and day 18.\n\nHere are the cities that have direct flights:\nfrom London to Nice, from Berlin to Salzburg, from Copenhagen to Dubrovnik, from Copenhagen to London, from London to Berlin, from Copenhagen to Naples, from Copenhagen to Prague, from Naples to Nice, from Naples to Berlin, from Copenhagen to Reykjavik, from London to Reykjavik, from Nice to Berlin, from Copenhagen to Zurich, from Copenhagen to Berlin, from London to Prague, from Reykjavik to Nice, from Zurich to Nice, from Naples to London, from Zurich to Berlin, from Reykjavik to Berlin, from Zurich to Naples, from Dubrovnik to Naples, from Prague to Reykjavik, from Zurich to Reykjavik, from Copenhagen to Nice, from Zurich to London, from Zurich to Prague, from Zurich to Dubrovnik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Zurich.\n**Day 4-7:** Visit Zurich for 4 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Reykjavik.\n**Day 15-17:** Visit Reykjavik for 3 days.\n**Day 17:** Fly from Reykjavik to Nice.\n**Day 17-18:** Visit Nice for 2 days.\n**Day 18:** Fly from Nice to Berlin.\n**Day 18-22:** Visit Berlin for 5 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1463",
    "estimated_output_tokens": 8031,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: London, Duration: 4 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Zurich, Fixed Schedule: Day 4 - 7.\n* City: Nice, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Naples, Duration: 2 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: London, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Prague, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Zurich (Day 4 - 7).\n |- The departure day of Copenhagen is Day 4. The arrival day of Zurich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Zurich.\n   |- Try arranging to visit Zurich from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Copenhagen to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 17 - 18).\n   |- The departure day of Zurich is Day 7. The arrival day of Nice is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Dubrovnik, Berlin, Salzburg, London, Reykjavik, Prague] and explore these options in order.\n     |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 17 - 18).\n     |- The departure day of Naples is Day 8. The arrival day of Nice is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Zurich, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg, London, Reykjavik, Prague] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Naples to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Naples to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 17 - 18).\n       |- The departure day of Berlin is Day 12. The arrival day of Nice is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Zurich, Naples, Berlin].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Salzburg, London, Reykjavik, Prague] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Berlin to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 17 - 18).\n         |- The departure day of Salzburg is Day 14. The arrival day of Nice is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Zurich, Naples, Berlin, Salzburg].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, London, Reykjavik, Prague] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Salzburg to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Salzburg to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Salzburg to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Salzburg to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit London from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Berlin to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Berlin to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Berlin to Prague.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Naples to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 17 - 18).\n       |- The departure day of London is Day 11. The arrival day of Nice is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Copenhagen, Zurich, Naples, London].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg, Reykjavik, Prague] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from London to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from London to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 17 - 18).\n         |- The departure day of Berlin is Day 15. The arrival day of Nice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Zurich, Naples, London, Berlin].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Salzburg, Reykjavik, Prague] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Berlin to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Nice (Day 17 - 18).\n           |- The departure day of Salzburg is Day 17. The arrival day of Nice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Zurich, Naples, London, Berlin, Salzburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Salzburg to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Berlin to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from London to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from London to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 17 - 18).\n         |- The departure day of Reykjavik is Day 13. The arrival day of Nice is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Zurich, Naples, London, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg, Prague] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Reykjavik to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 17 - 18).\n           |- The departure day of Berlin is Day 17. The arrival day of Nice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Zurich, Naples, London, Reykjavik, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Nice.\n             |- Try arranging to visit Nice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Berlin to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Reykjavik to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from London to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 17 - 18).\n         |- The departure day of Prague is Day 14. The arrival day of Nice is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Zurich, Naples, London, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Prague to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Prague to Berlin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 17 - 18).\n           |- The departure day of Reykjavik is Day 16. The arrival day of Nice is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Copenhagen, Zurich, Naples, London, Prague, Reykjavik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Salzburg] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Reykjavik to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Reykjavik to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Nice (Day 17 - 18).\n             |- The departure day of Berlin is Day 20. The arrival day of Nice is Day 17. Day 20 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Reykjavik to Salzburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Naples to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Prague.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 17 - 18).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Nice is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Zurich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Berlin, Salzburg, London, Reykjavik, Prague] and explore these options in order.\n       |- Try arranging to visit Naples from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dubrovnik to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 17 - 18).\n       |- The departure day of Naples is Day 9. The arrival day of Nice is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, London, Reykjavik, Prague] and explore these options in order.\n         |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Naples to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 17 - 18).\n         |- The departure day of Berlin is Day 13. The arrival day of Nice is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, London, Reykjavik, Prague] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Salzburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Nice (Day 17 - 18).\n           |- The departure day of Salzburg is Day 15. The arrival day of Nice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, Berlin, Salzburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Prague] and explore these options in order.\n             |- Try arranging to visit London from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Salzburg to London.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Salzburg to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Salzburg to Prague.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit London from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Berlin to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Berlin to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Berlin to Prague.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Naples to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Naples to London.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 17 - 18).\n         |- The departure day of London is Day 12. The arrival day of Nice is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Reykjavik, Prague] and explore these options in order.\n           |- Try arranging to visit Berlin from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from London to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 17 - 18).\n           |- The departure day of Berlin is Day 16. The arrival day of Nice is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Berlin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Reykjavik, Prague] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Berlin to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Nice (Day 17 - 18).\n             |- The departure day of Salzburg is Day 18. The arrival day of Nice is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Berlin to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Berlin to Prague.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from London to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from London to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 17 - 18).\n           |- The departure day of Reykjavik is Day 14. The arrival day of Nice is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Prague] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Reykjavik to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Nice (Day 17 - 18).\n             |- The departure day of Berlin is Day 18. The arrival day of Nice is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Reykjavik to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Reykjavik to Prague.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from London to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 17 - 18).\n           |- The departure day of Prague is Day 15. The arrival day of Nice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Prague].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Berlin from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Prague to Berlin.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Prague to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Prague to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Nice (Day 17 - 18).\n             |- The departure day of Reykjavik is Day 17. The arrival day of Nice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Prague, Reykjavik].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Nice.\n               |- Try arranging to visit Nice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Reykjavik to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Prague, Reykjavik, Nice].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Berlin, Salzburg] and explore these options in order.\n                 |- Try arranging to visit Berlin from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Nice to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Prague, Reykjavik, Nice, Berlin].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Berlin to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Copenhagen, Zurich, Dubrovnik, Naples, London, Prague, Reykjavik, Nice, Berlin, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Zurich.\n**Day 4-7:** Visit Zurich for 4 days.\n**Day 7:** Fly from Zurich to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Naples.\n**Day 8-9:** Visit Naples for 2 days.\n**Day 9:** Fly from Naples to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Prague.\n**Day 12-15:** Visit Prague for 4 days.\n**Day 15:** Fly from Prague to Reykjavik.\n**Day 15-17:** Visit Reykjavik for 3 days.\n**Day 17:** Fly from Reykjavik to Nice.\n**Day 17-18:** Visit Nice for 2 days.\n**Day 18:** Fly from Nice to Berlin.\n**Day 18-22:** Visit Berlin for 5 days.\n**Day 22:** Fly from Berlin to Salzburg.\n**Day 22-24:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Prague**Edinburgh**Copenhagen**Reykjavik**Oslo**Dubrovnik**Manchester**Porto**Hamburg",
    "ground_truth_durations": "2**4**3**3**4**2**5**4**3**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Porto"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Prague",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Edinburgh",
        "Oslo"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Munich",
        "Prague"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Munich",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to visit relatives in Munich between day 1 and day 2. You would like to visit Hamburg for 3 days. During day 22 and day 24, you have to attend a conference in Hamburg. You want to spend 4 days in Prague. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 20 and day 22. You want to spend 5 days in Dubrovnik. You want to spend 4 days in Reykjavik. You want to spend 3 days in Edinburgh. You want to meet a friend in Edinburgh between day 5 and day 7. You would like to visit Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 7 and day 9 to tour together. You would like to visit Manchester for 4 days. You would like to visit Oslo for 2 days.\n\nHere are the cities that have direct flights:\nOslo and Hamburg, Prague and Manchester, Edinburgh and Hamburg, Copenhagen and Porto, Copenhagen and Oslo, Prague and Edinburgh, Oslo and Manchester, Copenhagen and Dubrovnik, Manchester and Hamburg, Munich and Oslo, Oslo and Porto, Munich and Reykjavik, Prague and Reykjavik, Munich and Hamburg, Edinburgh and Copenhagen, Oslo and Dubrovnik, Munich and Porto, Prague and Copenhagen, Edinburgh and Porto, Manchester and Porto, Munich and Copenhagen, Copenhagen and Manchester, Porto and Hamburg, Reykjavik and Oslo, Edinburgh and Oslo, Prague and Oslo, Copenhagen and Hamburg, Munich and Dubrovnik, Copenhagen and Reykjavik, Munich and Prague, Munich and Edinburgh, Dubrovnik and Manchester, Munich and Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to visit relatives in Munich between day 1 and day 2. You would like to visit Hamburg for 3 days. During day 22 and day 24, you have to attend a conference in Hamburg. You want to spend 4 days in Prague. You plan to stay in Porto for 3 days. You are going to attend a wedding in Porto between day 20 and day 22. You want to spend 5 days in Dubrovnik. You want to spend 4 days in Reykjavik. You want to spend 3 days in Edinburgh. You want to meet a friend in Edinburgh between day 5 and day 7. You would like to visit Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 7 and day 9 to tour together. You would like to visit Manchester for 4 days. You would like to visit Oslo for 2 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Hamburg, from Prague to Manchester, from Edinburgh to Hamburg, from Copenhagen to Porto, from Copenhagen to Oslo, from Prague to Edinburgh, from Oslo to Manchester, from Copenhagen to Dubrovnik, from Manchester to Hamburg, from Munich to Oslo, from Oslo to Porto, from Munich to Reykjavik, from Prague to Reykjavik, from Munich to Hamburg, from Edinburgh to Copenhagen, from Oslo to Dubrovnik, from Munich to Porto, from Prague to Copenhagen, from Edinburgh to Porto, from Manchester to Porto, from Munich to Copenhagen, from Copenhagen to Manchester, from Porto to Hamburg, from Reykjavik to Oslo, from Edinburgh to Oslo, from Prague to Oslo, from Copenhagen to Hamburg, from Munich to Dubrovnik, from Copenhagen to Reykjavik, from Munich to Prague, from Munich to Edinburgh, from Dubrovnik to Manchester, from Munich to Manchester.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Oslo.\n**Day 12-13:** Visit Oslo for 2 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Porto.\n**Day 20-22:** Visit Porto for 3 days.\n**Day 22:** Fly from Porto to Hamburg.\n**Day 22-24:** Visit Hamburg for 3 days.",
    "id": "trip_planning_example_1464",
    "estimated_output_tokens": 3352,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Prague, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Dubrovnik, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Manchester, Duration: 4 days.\n* City: Oslo, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Edinburgh, Fixed Schedule: Day 5 - 7.\n* City: Copenhagen, Fixed Schedule: Day 7 - 9.\n* City: Porto, Fixed Schedule: Day 20 - 22.\n* City: Hamburg, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Prague, Duration: 4 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Manchester, Duration: 4 days.\n* City: Oslo, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 5 - 7).\n |- The departure day of Munich is Day 2. The arrival day of Edinburgh is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Dubrovnik, Reykjavik, Manchester, Oslo] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Edinburgh (Day 5 - 7).\n   |- The departure day of Prague is Day 5. The arrival day of Edinburgh is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Edinburgh.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Copenhagen (Day 7 - 9).\n     |- The departure day of Edinburgh is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Munich, Prague, Edinburgh].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Edinburgh to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 20 - 22).\n       |- The departure day of Copenhagen is Day 9. The arrival day of Porto is Day 20. Day 9 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Munich, Prague, Edinburgh, Copenhagen].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Reykjavik, Manchester, Oslo] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Copenhagen to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 20 - 22).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Porto is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Oslo] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dubrovnik to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dubrovnik to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 20 - 22).\n           |- The departure day of Manchester is Day 16. The arrival day of Porto is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Dubrovnik, Manchester].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Oslo] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Manchester to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Manchester to Oslo.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Oslo from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dubrovnik to Oslo.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Copenhagen to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 20 - 22).\n         |- The departure day of Reykjavik is Day 12. The arrival day of Porto is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Manchester, Oslo] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Reykjavik to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Reykjavik to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Reykjavik to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Porto (Day 20 - 22).\n           |- The departure day of Oslo is Day 13. The arrival day of Porto is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik, Oslo].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Manchester] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Oslo to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 20 - 22).\n             |- The departure day of Dubrovnik is Day 17. The arrival day of Porto is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik, Oslo, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Dubrovnik to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Porto (Day 20 - 22).\n               |- The departure day of Manchester is Day 20. The arrival day of Porto is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik, Oslo, Dubrovnik, Manchester].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Porto.\n                 |- Try arranging to visit Porto from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Manchester to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Hamburg (Day 22 - 24).\n                 |- The departure day of Porto is Day 22. The arrival day of Hamburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik, Oslo, Dubrovnik, Manchester, Porto].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Hamburg.\n                   |- Try arranging to visit Hamburg from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Porto to Hamburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Munich, Prague, Edinburgh, Copenhagen, Reykjavik, Oslo, Dubrovnik, Manchester, Porto, Hamburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Prague.\n**Day 2-5:** Visit Prague for 4 days.\n**Day 5:** Fly from Prague to Edinburgh.\n**Day 5-7:** Visit Edinburgh for 3 days.\n**Day 7:** Fly from Edinburgh to Copenhagen.\n**Day 7-9:** Visit Copenhagen for 3 days.\n**Day 9:** Fly from Copenhagen to Reykjavik.\n**Day 9-12:** Visit Reykjavik for 4 days.\n**Day 12:** Fly from Reykjavik to Oslo.\n**Day 12-13:** Visit Oslo for 2 days.\n**Day 13:** Fly from Oslo to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n**Day 20:** Fly from Manchester to Porto.\n**Day 20-22:** Visit Porto for 3 days.\n**Day 22:** Fly from Porto to Hamburg.\n**Day 22-24:** Visit Hamburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Istanbul**Edinburgh**Riga**Berlin**Reykjavik**Dublin**Copenhagen**Valencia",
    "ground_truth_durations": "5**2**3**2**2**3**5**2**4**5",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 8,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Riga",
        "Dublin"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Munich",
        "Dublin"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Edinburgh",
        "Dublin"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Dublin"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Dublin",
        "Copenhagen"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Munich",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to visit Copenhagen for 4 days. From day 17 to day 20, there is a annual show you want to attend in Copenhagen. You plan to stay in Munich for 2 days. You want to spend 5 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 12 and day 16. You plan to stay in Dublin for 2 days. You want to meet a friend in Dublin between day 16 and day 17. You want to spend 5 days in Valencia. You plan to stay in Florence for 5 days. You would like to meet your friends at Florence between day 1 and day 5 to tour together. You want to spend 3 days in Berlin. You plan to stay in Riga for 2 days. You plan to stay in Edinburgh for 2 days. You plan to visit relatives in Edinburgh between day 8 and day 9.\n\nHere are the cities that have direct flights:\nBerlin and Dublin, Copenhagen and Valencia, Munich and Copenhagen, Munich and Edinburgh, Riga and Dublin, Munich and Istanbul, Berlin and Reykjavik, Reykjavik and Dublin, Munich and Dublin, Istanbul and Berlin, Dublin and Valencia, from Florence to Munich, Berlin and Valencia, from Riga to Munich, Edinburgh and Riga, Munich and Reykjavik, Edinburgh and Dublin, Istanbul and Valencia, Reykjavik and Copenhagen, Berlin and Copenhagen, Istanbul and Dublin, Riga and Copenhagen, Istanbul and Riga, Edinburgh and Copenhagen, Istanbul and Edinburgh, Edinburgh and Berlin, Dublin and Copenhagen, Munich and Valencia, Istanbul and Copenhagen, Riga and Berlin, Munich and Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 3 days. You would like to visit Copenhagen for 4 days. From day 17 to day 20, there is a annual show you want to attend in Copenhagen. You plan to stay in Munich for 2 days. You want to spend 5 days in Reykjavik. You are going to attend a wedding in Reykjavik between day 12 and day 16. You plan to stay in Dublin for 2 days. You want to meet a friend in Dublin between day 16 and day 17. You want to spend 5 days in Valencia. You plan to stay in Florence for 5 days. You would like to meet your friends at Florence between day 1 and day 5 to tour together. You want to spend 3 days in Berlin. You plan to stay in Riga for 2 days. You plan to stay in Edinburgh for 2 days. You plan to visit relatives in Edinburgh between day 8 and day 9.\n\nHere are the cities that have direct flights:\nfrom Berlin to Dublin, from Copenhagen to Valencia, from Munich to Copenhagen, from Munich to Edinburgh, from Riga to Dublin, from Munich to Istanbul, from Berlin to Reykjavik, from Reykjavik to Dublin, from Munich to Dublin, from Istanbul to Berlin, from Dublin to Valencia, from Florence to Munich, from Berlin to Valencia, from Riga to Munich, from Edinburgh to Riga, from Munich to Reykjavik, from Edinburgh to Dublin, from Istanbul to Valencia, from Reykjavik to Copenhagen, from Berlin to Copenhagen, from Istanbul to Dublin, from Riga to Copenhagen, from Istanbul to Riga, from Edinburgh to Copenhagen, from Istanbul to Edinburgh, from Edinburgh to Berlin, from Dublin to Copenhagen, from Munich to Valencia, from Istanbul to Copenhagen, from Riga to Berlin, from Munich to Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Berlin.\n**Day 10-12:** Visit Berlin for 3 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Dublin.\n**Day 16-17:** Visit Dublin for 2 days.\n**Day 17:** Fly from Dublin to Copenhagen.\n**Day 17-20:** Visit Copenhagen for 4 days.\n**Day 20:** Fly from Copenhagen to Valencia.\n**Day 20-24:** Visit Valencia for 5 days.",
    "id": "trip_planning_example_1465",
    "estimated_output_tokens": 3077,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Munich, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Valencia, Duration: 5 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Berlin, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 5.\n* City: Edinburgh, Fixed Schedule: Day 8 - 9.\n* City: Reykjavik, Fixed Schedule: Day 12 - 16.\n* City: Dublin, Fixed Schedule: Day 16 - 17.\n* City: Copenhagen, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 3 days.\n* City: Munich, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Berlin, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Edinburgh (Day 8 - 9).\n |- The departure day of Florence is Day 5. The arrival day of Edinburgh is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Munich, Valencia, Berlin, Riga] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Florence to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Edinburgh (Day 8 - 9).\n   |- The departure day of Munich is Day 6. The arrival day of Edinburgh is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Valencia, Berlin, Riga] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 8 - 9).\n     |- The departure day of Istanbul is Day 8. The arrival day of Edinburgh is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Munich, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 12 - 16).\n       |- The departure day of Edinburgh is Day 9. The arrival day of Reykjavik is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Munich, Istanbul, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Berlin, Riga] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Edinburgh to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 12 - 16).\n         |- The departure day of Berlin is Day 11. The arrival day of Reykjavik is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Munich, Istanbul, Edinburgh, Berlin].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Riga] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Berlin to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Reykjavik (Day 12 - 16).\n           |- The departure day of Valencia is Day 15. The arrival day of Reykjavik is Day 12. Day 15 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Berlin to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Edinburgh to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Reykjavik (Day 12 - 16).\n         |- The departure day of Riga is Day 10. The arrival day of Reykjavik is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Berlin] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Riga to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Riga to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 12 - 16).\n           |- The departure day of Berlin is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga, Berlin].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Berlin to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dublin (Day 16 - 17).\n             |- The departure day of Reykjavik is Day 16. The arrival day of Dublin is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga, Berlin, Reykjavik].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Dublin.\n               |- Try arranging to visit Dublin from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Reykjavik to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Copenhagen (Day 17 - 20).\n               |- The departure day of Dublin is Day 17. The arrival day of Copenhagen is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga, Berlin, Reykjavik, Dublin].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Copenhagen.\n                 |- Try arranging to visit Copenhagen from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Dublin to Copenhagen.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga, Berlin, Reykjavik, Dublin, Copenhagen].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                   |- Try arranging to visit Valencia from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                   |- Check for direct flight from Copenhagen to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Florence, Munich, Istanbul, Edinburgh, Riga, Berlin, Reykjavik, Dublin, Copenhagen, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Istanbul.\n**Day 6-8:** Visit Istanbul for 3 days.\n**Day 8:** Fly from Istanbul to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Riga.\n**Day 9-10:** Visit Riga for 2 days.\n**Day 10:** Fly from Riga to Berlin.\n**Day 10-12:** Visit Berlin for 3 days.\n**Day 12:** Fly from Berlin to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Dublin.\n**Day 16-17:** Visit Dublin for 2 days.\n**Day 17:** Fly from Dublin to Copenhagen.\n**Day 17-20:** Visit Copenhagen for 4 days.\n**Day 20:** Fly from Copenhagen to Valencia.\n**Day 20-24:** Visit Valencia for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Budapest**Bucharest**Santorini**Zurich**Tallinn**Oslo**Dubrovnik**Madrid**Seville",
    "ground_truth_durations": "5**3**5**2**2**5**5**4**2**5",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Oslo",
        "Madrid"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Tallinn. You would like to visit Oslo for 5 days. You plan to stay in Zurich for 2 days. You want to meet a friend in Zurich between day 12 and day 13. You plan to stay in Dubrovnik for 4 days. You would like to visit Stuttgart for 5 days. You plan to stay in Seville for 5 days. You want to spend 2 days in Santorini. You have to attend a workshop in Santorini between day 11 and day 12. You plan to stay in Madrid for 2 days. You plan to stay in Budapest for 3 days. You want to spend 5 days in Bucharest. You are going to attend a wedding in Bucharest between day 7 and day 11.\n\nHere are the cities that have direct flights:\nBudapest and Zurich, Bucharest and Zurich, Santorini and Madrid, Budapest and Oslo, Zurich and Tallinn, Budapest and Bucharest, Oslo and Madrid, Bucharest and Santorini, Santorini and Zurich, Zurich and Madrid, Budapest and Madrid, Stuttgart and Budapest, Dubrovnik and Madrid, Tallinn and Oslo, from Santorini to Oslo, Oslo and Dubrovnik, Zurich and Oslo, Madrid and Seville, Bucharest and Oslo, Bucharest and Madrid, Zurich and Dubrovnik.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Tallinn. You would like to visit Oslo for 5 days. You plan to stay in Zurich for 2 days. You want to meet a friend in Zurich between day 12 and day 13. You plan to stay in Dubrovnik for 4 days. You would like to visit Stuttgart for 5 days. You plan to stay in Seville for 5 days. You want to spend 2 days in Santorini. You have to attend a workshop in Santorini between day 11 and day 12. You plan to stay in Madrid for 2 days. You plan to stay in Budapest for 3 days. You want to spend 5 days in Bucharest. You are going to attend a wedding in Bucharest between day 7 and day 11.\n\nHere are the cities that have direct flights:\nfrom Budapest to Zurich, from Bucharest to Zurich, from Santorini to Madrid, from Budapest to Oslo, from Zurich to Tallinn, from Budapest to Bucharest, from Oslo to Madrid, from Bucharest to Santorini, from Santorini to Zurich, from Zurich to Madrid, from Budapest to Madrid, from Stuttgart to Budapest, from Dubrovnik to Madrid, from Tallinn to Oslo, from Santorini to Oslo, from Oslo to Dubrovnik, from Zurich to Oslo, from Madrid to Seville, from Bucharest to Oslo, from Bucharest to Madrid, from Zurich to Dubrovnik.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Bucharest.\n**Day 7-11:** Visit Bucharest for 5 days.\n**Day 11:** Fly from Bucharest to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Zurich.\n**Day 12-13:** Visit Zurich for 2 days.\n**Day 13:** Fly from Zurich to Tallinn.\n**Day 13-17:** Visit Tallinn for 5 days.\n**Day 17:** Fly from Tallinn to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.\n**Day 21:** Fly from Oslo to Dubrovnik.\n**Day 21-24:** Visit Dubrovnik for 4 days.\n**Day 24:** Fly from Dubrovnik to Madrid.\n**Day 24-25:** Visit Madrid for 2 days.\n**Day 25:** Fly from Madrid to Seville.\n**Day 25-29:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1466",
    "estimated_output_tokens": 5351,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Tallinn, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Madrid, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Bucharest, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 7 - 11.\n* City: Santorini, Fixed Schedule: Day 11 - 12.\n* City: Zurich, Fixed Schedule: Day 12 - 13.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Dubrovnik, Stuttgart, Seville, Madrid, Budapest] and explore these options in order.\n |- Try arranging to visit Tallinn from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 11).\n |- The departure day of Tallinn is Day 5. The arrival day of Bucharest is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Dubrovnik, Stuttgart, Seville, Madrid, Budapest] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 11).\n   |- The departure day of Oslo is Day 9. The arrival day of Bucharest is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Tallinn to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Tallinn to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Tallinn to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Tallinn to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 11).\n |- The departure day of Oslo is Day 5. The arrival day of Bucharest is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik, Stuttgart, Seville, Madrid, Budapest] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 11).\n   |- The departure day of Dubrovnik is Day 8. The arrival day of Bucharest is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Oslo to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 11).\n   |- The departure day of Madrid is Day 6. The arrival day of Bucharest is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Oslo, Madrid].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Dubrovnik, Stuttgart, Seville, Budapest] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Madrid to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Madrid to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Bucharest (Day 7 - 11).\n     |- The departure day of Seville is Day 10. The arrival day of Bucharest is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Madrid to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Oslo to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 11).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Bucharest is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Stuttgart, Seville, Madrid, Budapest] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 7 - 11).\n   |- The departure day of Madrid is Day 5. The arrival day of Bucharest is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Stuttgart, Seville, Budapest] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 11).\n     |- The departure day of Seville is Day 9. The arrival day of Bucharest is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Madrid to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Budapest from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Budapest.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Bucharest (Day 7 - 11).\n |- The departure day of Stuttgart is Day 5. The arrival day of Bucharest is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Dubrovnik, Seville, Madrid, Budapest] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stuttgart to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Stuttgart to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Stuttgart to Madrid.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Stuttgart to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Bucharest (Day 7 - 11).\n   |- The departure day of Budapest is Day 7. The arrival day of Bucharest is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Stuttgart, Budapest].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Bucharest.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Budapest to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 11 - 12).\n     |- The departure day of Bucharest is Day 11. The arrival day of Santorini is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Stuttgart, Budapest, Bucharest].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Zurich (Day 12 - 13).\n       |- The departure day of Santorini is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Stuttgart, Budapest, Bucharest, Santorini].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Santorini to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Oslo, Dubrovnik, Seville, Madrid] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Zurich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich, Tallinn].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Dubrovnik, Seville, Madrid] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Tallinn to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich, Tallinn, Oslo].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Seville, Madrid] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Oslo to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich, Tallinn, Oslo, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Madrid] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Dubrovnik to Seville.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Madrid from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Dubrovnik to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich, Tallinn, Oslo, Dubrovnik, Madrid].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Madrid to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Stuttgart, Budapest, Bucharest, Santorini, Zurich, Tallinn, Oslo, Dubrovnik, Madrid, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stuttgart and visit Stuttgart for 5 days.\n**Day 5:** Fly from Stuttgart to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Bucharest.\n**Day 7-11:** Visit Bucharest for 5 days.\n**Day 11:** Fly from Bucharest to Santorini.\n**Day 11-12:** Visit Santorini for 2 days.\n**Day 12:** Fly from Santorini to Zurich.\n**Day 12-13:** Visit Zurich for 2 days.\n**Day 13:** Fly from Zurich to Tallinn.\n**Day 13-17:** Visit Tallinn for 5 days.\n**Day 17:** Fly from Tallinn to Oslo.\n**Day 17-21:** Visit Oslo for 5 days.\n**Day 21:** Fly from Oslo to Dubrovnik.\n**Day 21-24:** Visit Dubrovnik for 4 days.\n**Day 24:** Fly from Dubrovnik to Madrid.\n**Day 24-25:** Visit Madrid for 2 days.\n**Day 25:** Fly from Madrid to Seville.\n**Day 25-29:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Paris**Venice**Stuttgart**Krakow**Milan**Reykjavik**Warsaw**Porto**Seville",
    "ground_truth_durations": "3**4**4**2**3**3**2**4**4**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Porto",
        "Seville"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Milan"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "London",
        "Venice"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Paris",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You have to attend a workshop in Venice between day 6 and day 9. You want to spend 2 days in Reykjavik. You plan to stay in Seville for 4 days. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London. You plan to stay in Milan for 3 days. You want to spend 2 days in Stuttgart. You want to meet a friend in Stuttgart between day 9 and day 10. You plan to stay in Warsaw for 4 days. During day 15 and day 18, you have to attend a conference in Warsaw. You would like to visit Porto for 4 days. You would like to visit Krakow for 3 days. You plan to stay in Paris for 4 days.\n\nHere are the cities that have direct flights:\nVenice and Warsaw, Paris and Venice, Porto and Seville, Reykjavik and Warsaw, Krakow and Milan, from Reykjavik to Stuttgart, Stuttgart and Milan, Stuttgart and Warsaw, Warsaw and Porto, Stuttgart and Porto, Paris and Seville, London and Venice, Venice and Stuttgart, London and Krakow, Milan and Porto, Paris and Warsaw, Paris and Milan, Krakow and Warsaw, London and Reykjavik, Stuttgart and Krakow, Paris and Porto, London and Paris, London and Stuttgart, Paris and Stuttgart, Milan and Seville, London and Warsaw, London and Milan, Paris and Reykjavik, Milan and Reykjavik, Milan and Warsaw, Paris and Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 4 days. You have to attend a workshop in Venice between day 6 and day 9. You want to spend 2 days in Reykjavik. You plan to stay in Seville for 4 days. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London. You plan to stay in Milan for 3 days. You want to spend 2 days in Stuttgart. You want to meet a friend in Stuttgart between day 9 and day 10. You plan to stay in Warsaw for 4 days. During day 15 and day 18, you have to attend a conference in Warsaw. You would like to visit Porto for 4 days. You would like to visit Krakow for 3 days. You plan to stay in Paris for 4 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Warsaw, from Paris to Venice, from Porto to Seville, from Reykjavik to Warsaw, from Krakow to Milan, from Reykjavik to Stuttgart, from Stuttgart to Milan, from Stuttgart to Warsaw, from Warsaw to Porto, from Stuttgart to Porto, from Paris to Seville, from London to Venice, from Venice to Stuttgart, from London to Krakow, from Milan to Porto, from Paris to Warsaw, from Paris to Milan, from Krakow to Warsaw, from London to Reykjavik, from Stuttgart to Krakow, from Paris to Porto, from London to Paris, from London to Stuttgart, from Paris to Stuttgart, from Milan to Seville, from London to Warsaw, from London to Milan, from Paris to Reykjavik, from Milan to Reykjavik, from Milan to Warsaw, from Paris to Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to Krakow.\n**Day 10-12:** Visit Krakow for 3 days.\n**Day 12:** Fly from Krakow to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Reykjavik.\n**Day 14-15:** Visit Reykjavik for 2 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n**Day 18:** Fly from Warsaw to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Seville.\n**Day 21-24:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1467",
    "estimated_output_tokens": 6301,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Reykjavik, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Milan, Duration: 3 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Porto, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Fixed Schedule: Day 9 - 10.\n* City: Warsaw, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Seville, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 6 - 9).\n |- The departure day of London is Day 3. The arrival day of Venice is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Milan, Porto, Krakow, Paris] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from London to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 9).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Venice is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [London, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Milan, Porto, Krakow, Paris] and explore these options in order.\n     |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 9).\n   |- The departure day of Milan is Day 5. The arrival day of Venice is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Porto, Krakow, Paris] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 9).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [London, Milan, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Reykjavik to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 9).\n     |- The departure day of Seville is Day 8. The arrival day of Venice is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 9).\n     |- The departure day of Porto is Day 8. The arrival day of Venice is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Milan to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from London to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 9).\n   |- The departure day of Krakow is Day 5. The arrival day of Venice is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Krakow].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Milan, Porto, Paris] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Krakow to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Krakow to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 6 - 9).\n     |- The departure day of Milan is Day 7. The arrival day of Venice is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Krakow to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from London to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 6 - 9).\n   |- The departure day of Paris is Day 6. The arrival day of Venice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [London, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 10).\n     |- The departure day of Venice is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [London, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 15 - 18).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Warsaw is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Paris, Venice, Stuttgart].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Milan, Porto, Krakow] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stuttgart to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stuttgart to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stuttgart to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 18).\n         |- The departure day of Milan is Day 12. The arrival day of Warsaw is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [London, Paris, Venice, Stuttgart, Milan].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Porto, Krakow] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Milan to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 15 - 18).\n           |- The departure day of Reykjavik is Day 13. The arrival day of Warsaw is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [London, Paris, Venice, Stuttgart, Milan, Reykjavik].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Porto, Krakow] and explore these options in order.\n             |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Reykjavik to Seville.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Reykjavik to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Reykjavik to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Milan to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 15 - 18).\n           |- The departure day of Seville is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [London, Paris, Venice, Stuttgart, Milan, Seville].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Seville to Warsaw.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Milan to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 15 - 18).\n           |- The departure day of Porto is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [London, Paris, Venice, Stuttgart, Milan, Porto].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n             |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Porto to Warsaw.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Milan to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Stuttgart to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 18).\n         |- The departure day of Porto is Day 13. The arrival day of Warsaw is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Paris, Venice, Stuttgart, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Milan, Krakow] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Porto to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Porto to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Warsaw (Day 15 - 18).\n           |- The departure day of Seville is Day 16. The arrival day of Warsaw is Day 15. Day 16 is later than (>) Day 15. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Porto to Milan.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Porto to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Stuttgart to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 15 - 18).\n         |- The departure day of Krakow is Day 12. The arrival day of Warsaw is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [London, Paris, Venice, Stuttgart, Krakow].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Milan, Porto] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Krakow to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Krakow to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Krakow to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 15 - 18).\n           |- The departure day of Milan is Day 14. The arrival day of Warsaw is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [London, Paris, Venice, Stuttgart, Krakow, Milan].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Seville, Porto] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Milan to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Warsaw (Day 15 - 18).\n             |- The departure day of Reykjavik is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [London, Paris, Venice, Stuttgart, Krakow, Milan, Reykjavik].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n               |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Reykjavik to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [London, Paris, Venice, Stuttgart, Krakow, Milan, Reykjavik, Warsaw].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Porto] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Warsaw to Seville.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Porto from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Warsaw to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [London, Paris, Venice, Stuttgart, Krakow, Milan, Reykjavik, Warsaw, Porto].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Porto to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [London, Paris, Venice, Stuttgart, Krakow, Milan, Reykjavik, Warsaw, Porto, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Stuttgart.\n**Day 9-10:** Visit Stuttgart for 2 days.\n**Day 10:** Fly from Stuttgart to Krakow.\n**Day 10-12:** Visit Krakow for 3 days.\n**Day 12:** Fly from Krakow to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Reykjavik.\n**Day 14-15:** Visit Reykjavik for 2 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n**Day 18:** Fly from Warsaw to Porto.\n**Day 18-21:** Visit Porto for 4 days.\n**Day 21:** Fly from Porto to Seville.\n**Day 21-24:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Brussels**Copenhagen**Stuttgart**Warsaw**Bucharest**Zurich**Geneva**Oslo**Lyon",
    "ground_truth_durations": "4**3**4**4**4**3**4**5**5**5",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Brussels",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Brussels",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Zurich",
        "Oslo"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Geneva",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Seville. You would like to visit Lyon for 5 days. You want to spend 4 days in Zurich. You want to spend 4 days in Warsaw. During day 12 and day 15, you have to attend a conference in Warsaw. You plan to stay in Geneva for 5 days. You are going to attend a wedding in Geneva between day 20 and day 24. You plan to stay in Brussels for 3 days. You plan to visit relatives in Brussels between day 4 and day 6. You would like to visit Oslo for 5 days. You want to spend 3 days in Bucharest. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 9 and day 12. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Zurich, Warsaw and Geneva, Stuttgart and Warsaw, Seville and Brussels, Copenhagen and Oslo, Brussels and Bucharest, Brussels and Geneva, Copenhagen and Bucharest, Brussels and Zurich, Bucharest and Oslo, Brussels and Copenhagen, Oslo and Lyon, Copenhagen and Warsaw, Brussels and Lyon, Bucharest and Zurich, Brussels and Oslo, Brussels and Warsaw, Copenhagen and Stuttgart, Warsaw and Zurich, Warsaw and Bucharest, Zurich and Oslo, Copenhagen and Geneva, Zurich and Geneva, Bucharest and Lyon, Warsaw and Oslo, Geneva and Oslo.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Seville. You would like to visit Lyon for 5 days. You want to spend 4 days in Zurich. You want to spend 4 days in Warsaw. During day 12 and day 15, you have to attend a conference in Warsaw. You plan to stay in Geneva for 5 days. You are going to attend a wedding in Geneva between day 20 and day 24. You plan to stay in Brussels for 3 days. You plan to visit relatives in Brussels between day 4 and day 6. You would like to visit Oslo for 5 days. You want to spend 3 days in Bucharest. You want to spend 4 days in Stuttgart. You want to meet a friend in Stuttgart between day 9 and day 12. You would like to visit Copenhagen for 4 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Zurich, from Warsaw to Geneva, from Stuttgart to Warsaw, from Seville to Brussels, from Copenhagen to Oslo, from Brussels to Bucharest, from Brussels to Geneva, from Copenhagen to Bucharest, from Brussels to Zurich, from Bucharest to Oslo, from Brussels to Copenhagen, from Oslo to Lyon, from Copenhagen to Warsaw, from Brussels to Lyon, from Bucharest to Zurich, from Brussels to Oslo, from Brussels to Warsaw, from Copenhagen to Stuttgart, from Warsaw to Zurich, from Warsaw to Bucharest, from Zurich to Oslo, from Copenhagen to Geneva, from Zurich to Geneva, from Bucharest to Lyon, from Warsaw to Oslo, from Geneva to Oslo.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Warsaw.\n**Day 12-15:** Visit Warsaw for 4 days.\n**Day 15:** Fly from Warsaw to Bucharest.\n**Day 15-17:** Visit Bucharest for 3 days.\n**Day 17:** Fly from Bucharest to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Geneva.\n**Day 20-24:** Visit Geneva for 5 days.\n**Day 24:** Fly from Geneva to Oslo.\n**Day 24-28:** Visit Oslo for 5 days.\n**Day 28:** Fly from Oslo to Lyon.\n**Day 28-32:** Visit Lyon for 5 days.",
    "id": "trip_planning_example_1468",
    "estimated_output_tokens": 4596,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Oslo, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Copenhagen, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 4 - 6.\n* City: Stuttgart, Fixed Schedule: Day 9 - 12.\n* City: Warsaw, Fixed Schedule: Day 12 - 15.\n* City: Geneva, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Seville, Duration: 4 days.\n* City: Lyon, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n* City: Bucharest, Duration: 3 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Lyon, Zurich, Oslo, Bucharest, Copenhagen] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 4 - 6).\n |- The departure day of Seville is Day 4. The arrival day of Brussels is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Brussels.\n   |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Seville to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 9 - 12).\n   |- The departure day of Brussels is Day 6. The arrival day of Stuttgart is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Brussels].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Oslo, Bucharest, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 12).\n     |- The departure day of Lyon is Day 10. The arrival day of Stuttgart is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 12).\n     |- The departure day of Zurich is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Brussels, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Zurich to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Brussels to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 12).\n     |- The departure day of Oslo is Day 10. The arrival day of Stuttgart is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Brussels to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 12).\n     |- The departure day of Bucharest is Day 8. The arrival day of Stuttgart is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Seville, Brussels, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Oslo, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 9 - 12).\n       |- The departure day of Lyon is Day 12. The arrival day of Stuttgart is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 9 - 12).\n       |- The departure day of Zurich is Day 11. The arrival day of Stuttgart is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Bucharest to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 9 - 12).\n       |- The departure day of Oslo is Day 12. The arrival day of Stuttgart is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Bucharest to Copenhagen.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Brussels to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 9 - 12).\n     |- The departure day of Copenhagen is Day 9. The arrival day of Stuttgart is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Brussels, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Copenhagen to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Warsaw (Day 12 - 15).\n       |- The departure day of Stuttgart is Day 12. The arrival day of Warsaw is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Brussels, Copenhagen, Stuttgart].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stuttgart to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 20 - 24).\n         |- The departure day of Warsaw is Day 15. The arrival day of Geneva is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Oslo, Bucharest] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Warsaw to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 20 - 24).\n           |- The departure day of Zurich is Day 18. The arrival day of Geneva is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Zurich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Oslo, Bucharest] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Zurich to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Zurich to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Geneva (Day 20 - 24).\n             |- The departure day of Oslo is Day 22. The arrival day of Geneva is Day 20. Day 22 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Zurich to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Oslo from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 20 - 24).\n           |- The departure day of Oslo is Day 19. The arrival day of Geneva is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Oslo].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Bucharest] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Oslo to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Geneva (Day 20 - 24).\n             |- The departure day of Lyon is Day 23. The arrival day of Geneva is Day 20. Day 23 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Zurich from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Oslo to Zurich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Oslo to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Warsaw to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 20 - 24).\n           |- The departure day of Bucharest is Day 17. The arrival day of Geneva is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Oslo] and explore these options in order.\n             |- Try arranging to visit Lyon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Bucharest to Lyon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Geneva (Day 20 - 24).\n             |- The departure day of Lyon is Day 21. The arrival day of Geneva is Day 20. Day 21 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Zurich from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Bucharest to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Geneva (Day 20 - 24).\n             |- The departure day of Zurich is Day 20. The arrival day of Geneva is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Bucharest, Zurich].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Zurich to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Bucharest, Zurich, Geneva].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon, Oslo] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Geneva to Lyon.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Oslo from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Geneva to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Bucharest, Zurich, Geneva, Oslo].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                   |- Try arranging to visit Lyon from Day 28. Duration: 5 days. Schedule: Day 28 - 32.\n                   |- Check for direct flight from Oslo to Lyon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Seville, Brussels, Copenhagen, Stuttgart, Warsaw, Bucharest, Zurich, Geneva, Oslo, Lyon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Seville and visit Seville for 4 days.\n**Day 4:** Fly from Seville to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to Stuttgart.\n**Day 9-12:** Visit Stuttgart for 4 days.\n**Day 12:** Fly from Stuttgart to Warsaw.\n**Day 12-15:** Visit Warsaw for 4 days.\n**Day 15:** Fly from Warsaw to Bucharest.\n**Day 15-17:** Visit Bucharest for 3 days.\n**Day 17:** Fly from Bucharest to Zurich.\n**Day 17-20:** Visit Zurich for 4 days.\n**Day 20:** Fly from Zurich to Geneva.\n**Day 20-24:** Visit Geneva for 5 days.\n**Day 24:** Fly from Geneva to Oslo.\n**Day 24-28:** Visit Oslo for 5 days.\n**Day 28:** Fly from Oslo to Lyon.\n**Day 28-32:** Visit Lyon for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Oslo**Istanbul**London**Lisbon**Valencia**Geneva**Mykonos**Amsterdam**Reykjavik**Stockholm",
    "ground_truth_durations": "2**2**2**2**2**4**2**2**3**4",
    "num_cities": 10,
    "total_days": 16,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Oslo",
        "London"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Istanbul",
        "London"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Oslo",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 9 and day 10. You plan to stay in Geneva for 4 days. You want to spend 2 days in Lisbon. You would like to visit Valencia for 2 days. You are going to attend a wedding in Valencia between day 5 and day 6. You would like to visit Reykjavik for 3 days. You want to spend 2 days in London. You would like to meet your friends at London between day 3 and day 4 to tour together. You plan to stay in Stockholm for 4 days. You plan to visit relatives in Stockholm between day 13 and day 16. You want to spend 2 days in Istanbul. From day 2 to day 3, there is a annual show you want to attend in Istanbul. You would like to visit Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nIstanbul and Amsterdam, Geneva and Mykonos, Oslo and Geneva, Istanbul and Stockholm, Istanbul and Valencia, Amsterdam and Stockholm, Oslo and London, Valencia and Geneva, Mykonos and Amsterdam, Oslo and Reykjavik, Amsterdam and Reykjavik, Geneva and Amsterdam, Valencia and Amsterdam, Geneva and Stockholm, London and Stockholm, London and Lisbon, London and Valencia, London and Amsterdam, Oslo and Istanbul, London and Reykjavik, Oslo and Lisbon, Lisbon and Amsterdam, Lisbon and Valencia, Istanbul and Lisbon, Lisbon and Stockholm, Oslo and Stockholm, Lisbon and Reykjavik, Lisbon and Geneva, Istanbul and London, Istanbul and Geneva, London and Mykonos, Reykjavik and Stockholm, London and Geneva, Oslo and Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 16 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Oslo. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 9 and day 10. You plan to stay in Geneva for 4 days. You want to spend 2 days in Lisbon. You would like to visit Valencia for 2 days. You are going to attend a wedding in Valencia between day 5 and day 6. You would like to visit Reykjavik for 3 days. You want to spend 2 days in London. You would like to meet your friends at London between day 3 and day 4 to tour together. You plan to stay in Stockholm for 4 days. You plan to visit relatives in Stockholm between day 13 and day 16. You want to spend 2 days in Istanbul. From day 2 to day 3, there is a annual show you want to attend in Istanbul. You would like to visit Amsterdam for 2 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Amsterdam, from Geneva to Mykonos, from Oslo to Geneva, from Istanbul to Stockholm, from Istanbul to Valencia, from Amsterdam to Stockholm, from Oslo to London, from Valencia to Geneva, from Mykonos to Amsterdam, from Oslo to Reykjavik, from Amsterdam to Reykjavik, from Geneva to Amsterdam, from Valencia to Amsterdam, from Geneva to Stockholm, from London to Stockholm, from London to Lisbon, from London to Valencia, from London to Amsterdam, from Oslo to Istanbul, from London to Reykjavik, from Oslo to Lisbon, from Lisbon to Amsterdam, from Lisbon to Valencia, from Istanbul to Lisbon, from Lisbon to Stockholm, from Oslo to Stockholm, from Lisbon to Reykjavik, from Lisbon to Geneva, from Istanbul to London, from Istanbul to Geneva, from London to Mykonos, from Reykjavik to Stockholm, from London to Geneva, from Oslo to Amsterdam.\n\nFind a trip plan of visiting the cities for 16 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 16 days:\n\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Geneva.\n**Day 6-9:** Visit Geneva for 4 days.\n**Day 9:** Fly from Geneva to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.\n**Day 13:** Fly from Reykjavik to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.",
    "id": "trip_planning_example_1469",
    "estimated_output_tokens": 2757,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 2 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Geneva, Duration: 4 days.\n* City: Lisbon, Duration: 2 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Reykjavik, Duration: 3 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Istanbul, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Amsterdam, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 2 - 3.\n* City: London, Fixed Schedule: Day 3 - 4.\n* City: Valencia, Fixed Schedule: Day 5 - 6.\n* City: Mykonos, Fixed Schedule: Day 9 - 10.\n* City: Stockholm, Fixed Schedule: Day 13 - 16.\n\nCities needing arrangement:\n* City: Oslo, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n* City: Lisbon, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Geneva, Lisbon, Reykjavik, Amsterdam] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 3).\n |- The departure day of Oslo is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Oslo to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: London (Day 3 - 4).\n   |- The departure day of Istanbul is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Oslo, Istanbul].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n     |- Try arranging to visit London from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Istanbul to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 5 - 6).\n     |- The departure day of London is Day 4. The arrival day of Valencia is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Oslo, Istanbul, London].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Lisbon, Reykjavik, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from London to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 5 - 6).\n       |- The departure day of Geneva is Day 7. The arrival day of Valencia is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from London to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 5 - 6).\n       |- The departure day of Lisbon is Day 5. The arrival day of Valencia is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Oslo, Istanbul, London, Lisbon].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- Yes. The city with an arrival day of Day 5 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n         |- Check for direct flight from Lisbon to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 10).\n         |- The departure day of Valencia is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 6. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia].\n          |- Check whether the city with an arrival day of Day 6 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Reykjavik, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n           |- Check for direct flight from Valencia to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 10).\n           |- The departure day of Geneva is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 9. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia, Geneva].\n            |- Check whether the city with an arrival day of Day 9 - is fixed.\n            |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n             |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n             |- Check for direct flight from Geneva to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 16).\n             |- The departure day of Mykonos is Day 10. The arrival day of Stockholm is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 10. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia, Geneva, Mykonos].\n              |- Check whether the city with an arrival day of Day 10 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Amsterdam] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n               |- Check for direct flight from Mykonos to Reykjavik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n               |- Check for direct flight from Mykonos to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 13 - 16).\n               |- The departure day of Amsterdam is Day 11. The arrival day of Stockholm is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 11. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia, Geneva, Mykonos, Amsterdam].\n                |- Check whether the city with an arrival day of Day 11 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n                 |- Check for direct flight from Amsterdam to Reykjavik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stockholm (Day 13 - 16).\n                 |- The departure day of Reykjavik is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 13. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia, Geneva, Mykonos, Amsterdam, Reykjavik].\n                  |- Check whether the city with an arrival day of Day 13 - is fixed.\n                  |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n                   |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n                   |- Check for direct flight from Reykjavik to Stockholm.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 16. Current plan: [Oslo, Istanbul, London, Lisbon, Valencia, Geneva, Mykonos, Amsterdam, Reykjavik, Stockholm].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Oslo and visit Oslo for 2 days.\n**Day 2:** Fly from Oslo to Istanbul.\n**Day 2-3:** Visit Istanbul for 2 days.\n**Day 3:** Fly from Istanbul to London.\n**Day 3-4:** Visit London for 2 days.\n**Day 4:** Fly from London to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Valencia.\n**Day 5-6:** Visit Valencia for 2 days.\n**Day 6:** Fly from Valencia to Geneva.\n**Day 6-9:** Visit Geneva for 4 days.\n**Day 9:** Fly from Geneva to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Reykjavik.\n**Day 11-13:** Visit Reykjavik for 3 days.\n**Day 13:** Fly from Reykjavik to Stockholm.\n**Day 13-16:** Visit Stockholm for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Lisbon**Budapest**Mykonos**Amsterdam**Riga**Berlin**Stuttgart**Naples**Valencia",
    "ground_truth_durations": "4**2**3**2**3**5**5**5**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lisbon",
        "Amsterdam"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Budapest",
        "Amsterdam"
      ],
      [
        "Mykonos",
        "Naples"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Mykonos",
        "Amsterdam"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Dublin",
        "Lisbon"
      ],
      [
        "Budapest",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 2 days. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 10 and day 14. You plan to stay in Budapest for 3 days. You would like to visit Stuttgart for 5 days. During day 18 and day 22, you have to attend a conference in Stuttgart. You want to spend 3 days in Amsterdam. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 25 and day 28 to tour together. You would like to visit Dublin for 4 days. You want to spend 2 days in Lisbon. You are going to attend a wedding in Lisbon between day 4 and day 5. You would like to visit Naples for 4 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Riga, Dublin and Riga, Budapest and Mykonos, Lisbon and Stuttgart, Lisbon and Riga, Lisbon and Amsterdam, Riga and Berlin, Amsterdam and Berlin, Dublin and Amsterdam, Stuttgart and Valencia, Dublin and Budapest, Lisbon and Valencia, Lisbon and Budapest, Naples and Valencia, Lisbon and Naples, Budapest and Naples, Dublin and Valencia, Amsterdam and Naples, Berlin and Naples, Stuttgart and Naples, Berlin and Stuttgart, Dublin and Naples, Budapest and Amsterdam, Mykonos and Naples, Amsterdam and Stuttgart, Budapest and Berlin, Dublin and Berlin, Mykonos and Amsterdam, Berlin and Valencia, Amsterdam and Valencia, Lisbon and Berlin, Dublin and Lisbon, Budapest and Stuttgart.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Mykonos for 2 days. You plan to stay in Riga for 5 days. You have to attend a workshop in Riga between day 10 and day 14. You plan to stay in Budapest for 3 days. You would like to visit Stuttgart for 5 days. During day 18 and day 22, you have to attend a conference in Stuttgart. You want to spend 3 days in Amsterdam. You want to spend 4 days in Valencia. You would like to meet your friends at Valencia between day 25 and day 28 to tour together. You would like to visit Dublin for 4 days. You want to spend 2 days in Lisbon. You are going to attend a wedding in Lisbon between day 4 and day 5. You would like to visit Naples for 4 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Riga, from Dublin to Riga, from Budapest to Mykonos, from Lisbon to Stuttgart, from Lisbon to Riga, from Lisbon to Amsterdam, from Riga to Berlin, from Amsterdam to Berlin, from Dublin to Amsterdam, from Stuttgart to Valencia, from Dublin to Budapest, from Lisbon to Valencia, from Lisbon to Budapest, from Naples to Valencia, from Lisbon to Naples, from Budapest to Naples, from Dublin to Valencia, from Amsterdam to Naples, from Berlin to Naples, from Stuttgart to Naples, from Berlin to Stuttgart, from Dublin to Naples, from Budapest to Amsterdam, from Mykonos to Naples, from Amsterdam to Stuttgart, from Budapest to Berlin, from Dublin to Berlin, from Mykonos to Amsterdam, from Berlin to Valencia, from Amsterdam to Valencia, from Lisbon to Berlin, from Dublin to Lisbon, from Budapest to Stuttgart.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.\n**Day 8:** Fly from Mykonos to Amsterdam.\n**Day 8-10:** Visit Amsterdam for 3 days.\n**Day 10:** Fly from Amsterdam to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Berlin.\n**Day 14-18:** Visit Berlin for 5 days.\n**Day 18:** Fly from Berlin to Stuttgart.\n**Day 18-22:** Visit Stuttgart for 5 days.\n**Day 22:** Fly from Stuttgart to Naples.\n**Day 22-25:** Visit Naples for 4 days.\n**Day 25:** Fly from Naples to Valencia.\n**Day 25-28:** Visit Valencia for 4 days.",
    "id": "trip_planning_example_1470",
    "estimated_output_tokens": 4818,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Budapest, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Amsterdam, Duration: 3 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Dublin, Duration: 4 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Naples, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 4 - 5.\n* City: Riga, Fixed Schedule: Day 10 - 14.\n* City: Stuttgart, Fixed Schedule: Day 18 - 22.\n* City: Valencia, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Budapest, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Dublin, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Mykonos, Budapest, Amsterdam, Dublin, Naples, Berlin] and explore these options in order.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 5).\n |- The departure day of Mykonos is Day 2. The arrival day of Lisbon is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Amsterdam, Dublin, Naples, Berlin] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 4 - 5).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Mykonos, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Amsterdam to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Lisbon (Day 4 - 5).\n   |- The departure day of Naples is Day 5. The arrival day of Lisbon is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Mykonos to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 5).\n |- The departure day of Budapest is Day 3. The arrival day of Lisbon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Amsterdam, Dublin, Naples, Berlin] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Budapest to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Mykonos is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Budapest, Mykonos].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Mykonos to Lisbon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Budapest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Lisbon is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Budapest to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Naples is Day 6. The arrival day of Lisbon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Budapest to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Berlin is Day 7. The arrival day of Lisbon is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 5).\n |- The departure day of Amsterdam is Day 3. The arrival day of Lisbon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest, Dublin, Naples, Berlin] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Amsterdam to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Budapest from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Amsterdam to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Naples is Day 6. The arrival day of Lisbon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Amsterdam to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 5).\n   |- The departure day of Berlin is Day 7. The arrival day of Lisbon is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 5).\n |- The departure day of Dublin is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dublin to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Riga (Day 10 - 14).\n   |- The departure day of Lisbon is Day 5. The arrival day of Riga is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Budapest, Amsterdam, Naples, Berlin] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lisbon to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lisbon to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 10 - 14).\n     |- The departure day of Budapest is Day 7. The arrival day of Riga is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dublin, Lisbon, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Amsterdam, Naples, Berlin] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 10 - 14).\n       |- The departure day of Mykonos is Day 8. The arrival day of Riga is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Dublin, Lisbon, Budapest, Mykonos].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Naples, Berlin] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Mykonos to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Riga (Day 10 - 14).\n         |- The departure day of Amsterdam is Day 10. The arrival day of Riga is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Amsterdam to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 18 - 22).\n           |- The departure day of Riga is Day 14. The arrival day of Stuttgart is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Berlin] and explore these options in order.\n             |- Try arranging to visit Naples from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Riga to Naples.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 18 - 22).\n             |- The departure day of Berlin is Day 18. The arrival day of Stuttgart is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam, Riga, Berlin].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Berlin to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Valencia (Day 25 - 28).\n               |- The departure day of Stuttgart is Day 22. The arrival day of Valencia is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam, Riga, Berlin, Stuttgart].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Stuttgart to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Valencia (Day 25 - 28).\n                 |- The departure day of Naples is Day 25. The arrival day of Valencia is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam, Riga, Berlin, Stuttgart, Naples].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Valencia.\n                   |- Try arranging to visit Valencia from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Naples to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Dublin, Lisbon, Budapest, Mykonos, Amsterdam, Riga, Berlin, Stuttgart, Naples, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Budapest.\n**Day 5-7:** Visit Budapest for 3 days.\n**Day 7:** Fly from Budapest to Mykonos.\n**Day 7-8:** Visit Mykonos for 2 days.\n**Day 8:** Fly from Mykonos to Amsterdam.\n**Day 8-10:** Visit Amsterdam for 3 days.\n**Day 10:** Fly from Amsterdam to Riga.\n**Day 10-14:** Visit Riga for 5 days.\n**Day 14:** Fly from Riga to Berlin.\n**Day 14-18:** Visit Berlin for 5 days.\n**Day 18:** Fly from Berlin to Stuttgart.\n**Day 18-22:** Visit Stuttgart for 5 days.\n**Day 22:** Fly from Stuttgart to Naples.\n**Day 22-25:** Visit Naples for 4 days.\n**Day 25:** Fly from Naples to Valencia.\n**Day 25-28:** Visit Valencia for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Hamburg**Bucharest**Naples**Nice**Reykjavik**Prague**Florence**Madrid**Seville",
    "ground_truth_durations": "2**4**2**4**4**3**2**4**5**4",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Bucharest",
        "Madrid"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Prague",
        "Madrid"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Florence",
        "Madrid"
      ],
      [
        "Riga",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 4 days. You have to attend a workshop in Seville between day 22 and day 25. You plan to stay in Bucharest for 2 days. You plan to stay in Naples for 4 days. You would like to visit Florence for 4 days. You would like to visit Riga for 2 days. You want to spend 4 days in Nice. You plan to visit relatives in Nice between day 9 and day 12. You plan to stay in Hamburg for 4 days. During day 2 and day 5, you have to attend a conference in Hamburg. You plan to stay in Prague for 2 days. You plan to stay in Madrid for 5 days. You want to spend 3 days in Reykjavik.\n\nHere are the cities that have direct flights:\nNaples and Madrid, from Reykjavik to Madrid, Hamburg and Nice, Bucharest and Prague, Bucharest and Madrid, Bucharest and Naples, Nice and Madrid, Prague and Madrid, Madrid and Seville, Riga and Bucharest, Hamburg and Bucharest, Riga and Prague, Reykjavik and Prague, Hamburg and Madrid, Nice and Reykjavik, from Riga to Hamburg, Naples and Nice, Prague and Florence, Florence and Madrid, Riga and Nice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 4 days. You have to attend a workshop in Seville between day 22 and day 25. You plan to stay in Bucharest for 2 days. You plan to stay in Naples for 4 days. You would like to visit Florence for 4 days. You would like to visit Riga for 2 days. You want to spend 4 days in Nice. You plan to visit relatives in Nice between day 9 and day 12. You plan to stay in Hamburg for 4 days. During day 2 and day 5, you have to attend a conference in Hamburg. You plan to stay in Prague for 2 days. You plan to stay in Madrid for 5 days. You want to spend 3 days in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Naples to Madrid, from Reykjavik to Madrid, from Hamburg to Nice, from Bucharest to Prague, from Bucharest to Madrid, from Bucharest to Naples, from Nice to Madrid, from Prague to Madrid, from Madrid to Seville, from Riga to Bucharest, from Hamburg to Bucharest, from Riga to Prague, from Reykjavik to Prague, from Hamburg to Madrid, from Nice to Reykjavik, from Riga to Hamburg, from Naples to Nice, from Prague to Florence, from Florence to Madrid, from Riga to Nice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Nice.\n**Day 9-12:** Visit Nice for 4 days.\n**Day 12:** Fly from Nice to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n**Day 14:** Fly from Reykjavik to Prague.\n**Day 14-15:** Visit Prague for 2 days.\n**Day 15:** Fly from Prague to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Madrid.\n**Day 18-22:** Visit Madrid for 5 days.\n**Day 22:** Fly from Madrid to Seville.\n**Day 22-25:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1471",
    "estimated_output_tokens": 3586,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Bucharest, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Prague, Duration: 2 days.\n* City: Madrid, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 2 - 5.\n* City: Nice, Fixed Schedule: Day 9 - 12.\n* City: Seville, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Naples, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Madrid, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Naples, Florence, Riga, Prague, Madrid, Reykjavik] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Bucharest is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Naples is Day 4. The arrival day of Hamburg is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Florence is Day 4. The arrival day of Hamburg is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 5).\n |- The departure day of Riga is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 9 - 12).\n   |- The departure day of Hamburg is Day 5. The arrival day of Nice is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Riga, Hamburg].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples, Florence, Prague, Madrid, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Hamburg to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 9 - 12).\n     |- The departure day of Bucharest is Day 6. The arrival day of Nice is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Riga, Hamburg, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Naples, Florence, Prague, Madrid, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Bucharest to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 12).\n       |- The departure day of Naples is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Riga, Hamburg, Bucharest, Naples].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Naples to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Seville (Day 22 - 25).\n         |- The departure day of Nice is Day 12. The arrival day of Seville is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Madrid, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Florence from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Nice to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Nice to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Madrid from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Nice to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 22 - 25).\n           |- The departure day of Madrid is Day 16. The arrival day of Seville is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Madrid].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Madrid to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Madrid to Prague.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Madrid to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Seville (Day 22 - 25).\n           |- The departure day of Reykjavik is Day 14. The arrival day of Seville is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, Prague, Madrid] and explore these options in order.\n             |- Try arranging to visit Florence from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Reykjavik to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Reykjavik to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 22 - 25).\n             |- The departure day of Prague is Day 15. The arrival day of Seville is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Reykjavik, Prague].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, Madrid] and explore these options in order.\n               |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Prague to Florence.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Seville (Day 22 - 25).\n               |- The departure day of Florence is Day 18. The arrival day of Seville is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Reykjavik, Prague, Florence].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n                 |- Try arranging to visit Madrid from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Florence to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 22 - 25).\n                 |- The departure day of Madrid is Day 22. The arrival day of Seville is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Reykjavik, Prague, Florence, Madrid].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Seville.\n                   |- Try arranging to visit Seville from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                   |- Check for direct flight from Madrid to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Riga, Hamburg, Bucharest, Naples, Nice, Reykjavik, Prague, Florence, Madrid, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Riga and visit Riga for 2 days.\n**Day 2:** Fly from Riga to Hamburg.\n**Day 2-5:** Visit Hamburg for 4 days.\n**Day 5:** Fly from Hamburg to Bucharest.\n**Day 5-6:** Visit Bucharest for 2 days.\n**Day 6:** Fly from Bucharest to Naples.\n**Day 6-9:** Visit Naples for 4 days.\n**Day 9:** Fly from Naples to Nice.\n**Day 9-12:** Visit Nice for 4 days.\n**Day 12:** Fly from Nice to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n**Day 14:** Fly from Reykjavik to Prague.\n**Day 14-15:** Visit Prague for 2 days.\n**Day 15:** Fly from Prague to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Madrid.\n**Day 18-22:** Visit Madrid for 5 days.\n**Day 22:** Fly from Madrid to Seville.\n**Day 22-25:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Florence**Munich**Athens**Dublin**Santorini**Naples**Helsinki**Split",
    "ground_truth_durations": "3**2**3**5**4**5**3**4**5**3",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Naples"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Dublin",
        "Naples"
      ],
      [
        "Munich",
        "Dublin"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Dublin",
        "Split"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Athens",
        "Dublin"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Naples",
        "Helsinki"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Frankfurt",
        "Athens"
      ],
      [
        "Munich",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You have to attend a workshop in Munich between day 6 and day 10. You would like to visit Frankfurt for 2 days. You would like to visit Athens for 4 days. You would like to visit Naples for 4 days. You would like to visit Dublin for 5 days. You plan to visit relatives in Dublin between day 13 and day 17. You plan to stay in Salzburg for 3 days. You are going to attend a wedding in Salzburg between day 1 and day 3. You would like to visit Florence for 3 days. You want to spend 5 days in Helsinki. From day 22 to day 26, there is a annual show you want to attend in Helsinki. You would like to visit Split for 3 days. You plan to stay in Santorini for 3 days.\n\nHere are the cities that have direct flights:\nAthens and Naples, Frankfurt and Naples, Athens and Santorini, from Florence to Munich, Frankfurt and Split, Dublin and Santorini, Dublin and Naples, Munich and Dublin, Munich and Naples, Frankfurt and Helsinki, Frankfurt and Florence, Dublin and Helsinki, Dublin and Split, Munich and Athens, Santorini and Naples, Frankfurt and Munich, Frankfurt and Dublin, Athens and Dublin, Helsinki and Split, Munich and Split, Naples and Helsinki, Salzburg and Frankfurt, Naples and Split, Athens and Split, Frankfurt and Athens, Munich and Helsinki.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You have to attend a workshop in Munich between day 6 and day 10. You would like to visit Frankfurt for 2 days. You would like to visit Athens for 4 days. You would like to visit Naples for 4 days. You would like to visit Dublin for 5 days. You plan to visit relatives in Dublin between day 13 and day 17. You plan to stay in Salzburg for 3 days. You are going to attend a wedding in Salzburg between day 1 and day 3. You would like to visit Florence for 3 days. You want to spend 5 days in Helsinki. From day 22 to day 26, there is a annual show you want to attend in Helsinki. You would like to visit Split for 3 days. You plan to stay in Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Naples, from Frankfurt to Naples, from Athens to Santorini, from Florence to Munich, from Frankfurt to Split, from Dublin to Santorini, from Dublin to Naples, from Munich to Dublin, from Munich to Naples, from Frankfurt to Helsinki, from Frankfurt to Florence, from Dublin to Helsinki, from Dublin to Split, from Munich to Athens, from Santorini to Naples, from Frankfurt to Munich, from Frankfurt to Dublin, from Athens to Dublin, from Helsinki to Split, from Munich to Split, from Naples to Helsinki, from Salzburg to Frankfurt, from Naples to Split, from Athens to Split, from Frankfurt to Athens, from Munich to Helsinki.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-10:** Visit Munich for 5 days.\n**Day 10:** Fly from Munich to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Santorini.\n**Day 17-19:** Visit Santorini for 3 days.\n**Day 19:** Fly from Santorini to Naples.\n**Day 19-22:** Visit Naples for 4 days.\n**Day 22:** Fly from Naples to Helsinki.\n**Day 22-26:** Visit Helsinki for 5 days.\n**Day 26:** Fly from Helsinki to Split.\n**Day 26-28:** Visit Split for 3 days.",
    "id": "trip_planning_example_1472",
    "estimated_output_tokens": 3588,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Frankfurt, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Salzburg, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Florence, Duration: 3 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Split, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 3.\n* City: Munich, Fixed Schedule: Day 6 - 10.\n* City: Dublin, Fixed Schedule: Day 13 - 17.\n* City: Helsinki, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Frankfurt, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Naples, Duration: 4 days.\n* City: Florence, Duration: 3 days.\n* City: Split, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 6 - 10).\n |- The departure day of Salzburg is Day 3. The arrival day of Munich is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Frankfurt, Athens, Naples, Florence, Split, Santorini] and explore these options in order.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 6 - 10).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Munich is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Naples, Florence, Split, Santorini] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 6 - 10).\n     |- The departure day of Athens is Day 7. The arrival day of Munich is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Frankfurt to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 6 - 10).\n     |- The departure day of Naples is Day 7. The arrival day of Munich is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 6 - 10).\n     |- The departure day of Florence is Day 6. The arrival day of Munich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Salzburg, Frankfurt, Florence].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 13 - 17).\n       |- The departure day of Munich is Day 10. The arrival day of Dublin is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Salzburg, Frankfurt, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Naples, Split, Santorini] and explore these options in order.\n         |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Munich to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 13 - 17).\n         |- The departure day of Athens is Day 13. The arrival day of Dublin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Dublin.\n           |- Try arranging to visit Dublin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Athens to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 22 - 26).\n           |- The departure day of Dublin is Day 17. The arrival day of Helsinki is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Naples, Split, Santorini] and explore these options in order.\n             |- Try arranging to visit Naples from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Dublin to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 22 - 26).\n             |- The departure day of Naples is Day 20. The arrival day of Helsinki is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Naples].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Santorini] and explore these options in order.\n               |- Try arranging to visit Split from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Naples to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Helsinki (Day 22 - 26).\n               |- The departure day of Split is Day 22. The arrival day of Helsinki is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Naples, Split].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Helsinki.\n                 |- Try arranging to visit Helsinki from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Split to Helsinki.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Naples to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Dublin to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 22 - 26).\n             |- The departure day of Split is Day 19. The arrival day of Helsinki is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Split].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, Santorini] and explore these options in order.\n               |- Try arranging to visit Naples from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Split to Naples.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Split to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Dublin to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 22 - 26).\n             |- The departure day of Santorini is Day 19. The arrival day of Helsinki is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Santorini].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, Split] and explore these options in order.\n               |- Try arranging to visit Naples from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Santorini to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Helsinki (Day 22 - 26).\n               |- The departure day of Naples is Day 22. The arrival day of Helsinki is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Santorini, Naples].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Helsinki.\n                 |- Try arranging to visit Helsinki from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Naples to Helsinki.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Santorini, Naples, Helsinki].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                   |- Check for direct flight from Helsinki to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Salzburg, Frankfurt, Florence, Munich, Athens, Dublin, Santorini, Naples, Helsinki, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Salzburg and visit Salzburg for 3 days.\n**Day 3:** Fly from Salzburg to Frankfurt.\n**Day 3-4:** Visit Frankfurt for 2 days.\n**Day 4:** Fly from Frankfurt to Florence.\n**Day 4-6:** Visit Florence for 3 days.\n**Day 6:** Fly from Florence to Munich.\n**Day 6-10:** Visit Munich for 5 days.\n**Day 10:** Fly from Munich to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dublin.\n**Day 13-17:** Visit Dublin for 5 days.\n**Day 17:** Fly from Dublin to Santorini.\n**Day 17-19:** Visit Santorini for 3 days.\n**Day 19:** Fly from Santorini to Naples.\n**Day 19-22:** Visit Naples for 4 days.\n**Day 22:** Fly from Naples to Helsinki.\n**Day 22-26:** Visit Helsinki for 5 days.\n**Day 26:** Fly from Helsinki to Split.\n**Day 26-28:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Helsinki**Istanbul**Brussels**Seville**Milan**Split**Prague**Valencia**Athens**Nice",
    "ground_truth_durations": "5**4**3**5**3**5**3**4**3**5",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 27,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Helsinki",
        "Prague"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Milan",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 3 days. During day 20 and day 22, you have to attend a conference in Prague. You want to spend 5 days in Split. You would like to visit Brussels for 3 days. You plan to stay in Istanbul for 4 days. You would like to meet your friends at Istanbul between day 5 and day 8 to tour together. You would like to visit Athens for 3 days. You want to spend 5 days in Nice. You plan to visit relatives in Nice between day 27 and day 31. You want to spend 5 days in Helsinki. You would like to visit Valencia for 4 days. From day 22 to day 25, there is a annual show you want to attend in Valencia. You plan to stay in Milan for 3 days. You would like to visit Seville for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Nice, Milan and Valencia, Seville and Milan, Helsinki and Brussels, Helsinki and Nice, Athens and Nice, Milan and Prague, Istanbul and Prague, Helsinki and Istanbul, Istanbul and Milan, Milan and Athens, Helsinki and Milan, Istanbul and Brussels, Split and Prague, Istanbul and Athens, Brussels and Seville, Brussels and Milan, Seville and Valencia, Brussels and Nice, Prague and Athens, Brussels and Prague, from Valencia to Athens, Helsinki and Prague, Istanbul and Valencia, Prague and Valencia, Helsinki and Split, Brussels and Valencia, Split and Athens, Brussels and Athens, Milan and Split.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 3 days. During day 20 and day 22, you have to attend a conference in Prague. You want to spend 5 days in Split. You would like to visit Brussels for 3 days. You plan to stay in Istanbul for 4 days. You would like to meet your friends at Istanbul between day 5 and day 8 to tour together. You would like to visit Athens for 3 days. You want to spend 5 days in Nice. You plan to visit relatives in Nice between day 27 and day 31. You want to spend 5 days in Helsinki. You would like to visit Valencia for 4 days. From day 22 to day 25, there is a annual show you want to attend in Valencia. You plan to stay in Milan for 3 days. You would like to visit Seville for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Nice, from Milan to Valencia, from Seville to Milan, from Helsinki to Brussels, from Helsinki to Nice, from Athens to Nice, from Milan to Prague, from Istanbul to Prague, from Helsinki to Istanbul, from Istanbul to Milan, from Milan to Athens, from Helsinki to Milan, from Istanbul to Brussels, from Split to Prague, from Istanbul to Athens, from Brussels to Seville, from Brussels to Milan, from Seville to Valencia, from Brussels to Nice, from Prague to Athens, from Brussels to Prague, from Valencia to Athens, from Helsinki to Prague, from Istanbul to Valencia, from Prague to Valencia, from Helsinki to Split, from Brussels to Valencia, from Split to Athens, from Brussels to Athens, from Milan to Split.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Brussels.\n**Day 8-10:** Visit Brussels for 3 days.\n**Day 10:** Fly from Brussels to Seville.\n**Day 10-14:** Visit Seville for 5 days.\n**Day 14:** Fly from Seville to Milan.\n**Day 14-16:** Visit Milan for 3 days.\n**Day 16:** Fly from Milan to Split.\n**Day 16-20:** Visit Split for 5 days.\n**Day 20:** Fly from Split to Prague.\n**Day 20-22:** Visit Prague for 3 days.\n**Day 22:** Fly from Prague to Valencia.\n**Day 22-25:** Visit Valencia for 4 days.\n**Day 25:** Fly from Valencia to Athens.\n**Day 25-27:** Visit Athens for 3 days.\n**Day 27:** Fly from Athens to Nice.\n**Day 27-31:** Visit Nice for 5 days.",
    "id": "trip_planning_example_1473",
    "estimated_output_tokens": 5752,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Split, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Athens, Duration: 3 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 27 - 31.\n* City: Helsinki, Duration: 5 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Milan, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 5 - 8.\n* City: Prague, Fixed Schedule: Day 20 - 22.\n* City: Valencia, Fixed Schedule: Day 22 - 25.\n* City: Nice, Fixed Schedule: Day 27 - 31.\n\nCities needing arrangement:\n* City: Split, Duration: 5 days.\n* City: Brussels, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Seville, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Split, Brussels, Athens, Helsinki, Milan, Seville] and explore these options in order.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Split is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Split to Istanbul.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Brussels is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Athens, Helsinki, Milan, Seville] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 8).\n   |- The departure day of Athens is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Athens].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Athens to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 8).\n   |- The departure day of Milan is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Milan to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 5 - 8).\n   |- The departure day of Seville is Day 7. The arrival day of Istanbul is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Athens is Day 3. The arrival day of Istanbul is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Brussels, Helsinki, Milan, Seville] and explore these options in order.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Athens to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Helsinki is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Helsinki to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 20 - 22).\n   |- The departure day of Istanbul is Day 8. The arrival day of Prague is Day 20. Day 8 is not later than (<=) Day 20. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Helsinki, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Brussels, Athens, Milan, Seville] and explore these options in order.\n     |- Try arranging to visit Split from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Istanbul to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Istanbul to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Prague (Day 20 - 22).\n     |- The departure day of Brussels is Day 10. The arrival day of Prague is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Helsinki, Istanbul, Brussels].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Athens, Milan, Seville] and explore these options in order.\n       |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Brussels to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Brussels to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 20 - 22).\n       |- The departure day of Athens is Day 12. The arrival day of Prague is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Istanbul, Brussels, Athens].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Milan, Seville] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Athens to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Athens to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Athens to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Brussels to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 20 - 22).\n       |- The departure day of Milan is Day 12. The arrival day of Prague is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Helsinki, Istanbul, Brussels, Milan].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Athens, Seville] and explore these options in order.\n         |- Try arranging to visit Split from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Milan to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Prague (Day 20 - 22).\n         |- The departure day of Split is Day 16. The arrival day of Prague is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Istanbul, Brussels, Milan, Split].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Seville] and explore these options in order.\n           |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Split to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Prague (Day 20 - 22).\n           |- The departure day of Athens is Day 18. The arrival day of Prague is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Helsinki, Istanbul, Brussels, Milan, Split, Athens].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n             |- Try arranging to visit Seville from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Athens to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Split to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Milan to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Prague (Day 20 - 22).\n         |- The departure day of Athens is Day 14. The arrival day of Prague is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Helsinki, Istanbul, Brussels, Milan, Athens].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Seville] and explore these options in order.\n           |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Athens to Seville.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Milan to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Brussels to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Prague (Day 20 - 22).\n       |- The departure day of Seville is Day 14. The arrival day of Prague is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Helsinki, Istanbul, Brussels, Seville].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Athens, Milan] and explore these options in order.\n         |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Seville to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Seville to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Seville to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Prague (Day 20 - 22).\n         |- The departure day of Milan is Day 16. The arrival day of Prague is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Athens] and explore these options in order.\n           |- Try arranging to visit Split from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Milan to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Prague (Day 20 - 22).\n           |- The departure day of Split is Day 20. The arrival day of Prague is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan, Split].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Prague.\n             |- Try arranging to visit Prague from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Split to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Valencia (Day 22 - 25).\n             |- The departure day of Prague is Day 22. The arrival day of Valencia is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan, Split, Prague].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Prague to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Nice (Day 27 - 31).\n               |- The departure day of Valencia is Day 25. The arrival day of Nice is Day 27. Day 25 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan, Split, Prague, Valencia].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Athens] and explore these options in order.\n                 |- Try arranging to visit Athens from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                 |- Check for direct flight from Valencia to Athens.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Nice (Day 27 - 31).\n                 |- The departure day of Athens is Day 27. The arrival day of Nice is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan, Split, Prague, Valencia, Athens].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Nice.\n                   |- Try arranging to visit Nice from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                   |- Check for direct flight from Athens to Nice.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Helsinki, Istanbul, Brussels, Seville, Milan, Split, Prague, Valencia, Athens, Nice].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Helsinki and visit Helsinki for 5 days.\n**Day 5:** Fly from Helsinki to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Brussels.\n**Day 8-10:** Visit Brussels for 3 days.\n**Day 10:** Fly from Brussels to Seville.\n**Day 10-14:** Visit Seville for 5 days.\n**Day 14:** Fly from Seville to Milan.\n**Day 14-16:** Visit Milan for 3 days.\n**Day 16:** Fly from Milan to Split.\n**Day 16-20:** Visit Split for 5 days.\n**Day 20:** Fly from Split to Prague.\n**Day 20-22:** Visit Prague for 3 days.\n**Day 22:** Fly from Prague to Valencia.\n**Day 22-25:** Visit Valencia for 4 days.\n**Day 25:** Fly from Valencia to Athens.\n**Day 25-27:** Visit Athens for 3 days.\n**Day 27:** Fly from Athens to Nice.\n**Day 27-31:** Visit Nice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Paris**Seville**Rome**Zurich**Tallinn**Warsaw**Stuttgart**Hamburg**Bucharest",
    "ground_truth_durations": "5**4**4**3**4**4**5**4**4**2",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 29,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Rome"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Nice",
        "Paris"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Rome",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. During day 13 and day 16, you have to attend a conference in Zurich. You would like to visit Warsaw for 5 days. You would like to visit Tallinn for 4 days. You would like to visit Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 29 and day 30. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 23 and day 26 to tour together. You want to spend 4 days in Hamburg. You would like to visit Paris for 4 days. You plan to stay in Seville for 4 days. You would like to visit Rome for 3 days. You want to meet a friend in Rome between day 11 and day 13.\n\nHere are the cities that have direct flights:\nNice and Rome, Warsaw and Hamburg, Seville and Rome, Paris and Warsaw, Paris and Rome, Paris and Bucharest, Paris and Tallinn, Stuttgart and Hamburg, Zurich and Warsaw, Zurich and Hamburg, Rome and Zurich, Nice and Paris, Hamburg and Bucharest, Nice and Hamburg, Paris and Hamburg, Rome and Warsaw, Paris and Seville, Nice and Zurich, Zurich and Tallinn, Zurich and Bucharest, Paris and Stuttgart, Rome and Stuttgart, Paris and Zurich, Warsaw and Stuttgart, Warsaw and Bucharest, Nice and Warsaw, Rome and Bucharest, Tallinn and Warsaw, Rome and Hamburg.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 4 days. During day 13 and day 16, you have to attend a conference in Zurich. You would like to visit Warsaw for 5 days. You would like to visit Tallinn for 4 days. You would like to visit Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5. You would like to visit Bucharest for 2 days. You plan to visit relatives in Bucharest between day 29 and day 30. You want to spend 4 days in Stuttgart. You would like to meet your friends at Stuttgart between day 23 and day 26 to tour together. You want to spend 4 days in Hamburg. You would like to visit Paris for 4 days. You plan to stay in Seville for 4 days. You would like to visit Rome for 3 days. You want to meet a friend in Rome between day 11 and day 13.\n\nHere are the cities that have direct flights:\nfrom Nice to Rome, from Warsaw to Hamburg, from Seville to Rome, from Paris to Warsaw, from Paris to Rome, from Paris to Bucharest, from Paris to Tallinn, from Stuttgart to Hamburg, from Zurich to Warsaw, from Zurich to Hamburg, from Rome to Zurich, from Nice to Paris, from Hamburg to Bucharest, from Nice to Hamburg, from Paris to Hamburg, from Rome to Warsaw, from Paris to Seville, from Nice to Zurich, from Zurich to Tallinn, from Zurich to Bucharest, from Paris to Stuttgart, from Rome to Stuttgart, from Paris to Zurich, from Warsaw to Stuttgart, from Warsaw to Bucharest, from Nice to Warsaw, from Rome to Bucharest, from Tallinn to Warsaw, from Rome to Hamburg.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Seville.\n**Day 8-11:** Visit Seville for 4 days.\n**Day 11:** Fly from Seville to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Zurich.\n**Day 13-16:** Visit Zurich for 4 days.\n**Day 16:** Fly from Zurich to Tallinn.\n**Day 16-19:** Visit Tallinn for 4 days.\n**Day 19:** Fly from Tallinn to Warsaw.\n**Day 19-23:** Visit Warsaw for 5 days.\n**Day 23:** Fly from Warsaw to Stuttgart.\n**Day 23-26:** Visit Stuttgart for 4 days.\n**Day 26:** Fly from Stuttgart to Hamburg.\n**Day 26-29:** Visit Hamburg for 4 days.\n**Day 29:** Fly from Hamburg to Bucharest.\n**Day 29-30:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1474",
    "estimated_output_tokens": 4604,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Warsaw, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 29 - 30.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Hamburg, Duration: 4 days.\n* City: Paris, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 11 - 13.\n* City: Zurich, Fixed Schedule: Day 13 - 16.\n* City: Stuttgart, Fixed Schedule: Day 23 - 26.\n* City: Bucharest, Fixed Schedule: Day 29 - 30.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Hamburg, Duration: 4 days.\n* City: Paris, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 11 - 13).\n |- The departure day of Nice is Day 5. The arrival day of Rome is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Hamburg, Paris, Seville] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 11 - 13).\n   |- The departure day of Warsaw is Day 9. The arrival day of Rome is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, Warsaw].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg, Paris, Seville] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Warsaw to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Warsaw to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Rome (Day 11 - 13).\n     |- The departure day of Hamburg is Day 12. The arrival day of Rome is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Paris from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Warsaw to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Warsaw to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 11 - 13).\n   |- The departure day of Hamburg is Day 8. The arrival day of Rome is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Paris, Seville] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Hamburg to Warsaw.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Hamburg to Seville.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Nice to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 11 - 13).\n   |- The departure day of Paris is Day 8. The arrival day of Rome is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Nice, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Hamburg, Seville] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Paris to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 11 - 13).\n     |- The departure day of Warsaw is Day 12. The arrival day of Rome is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Paris to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 11 - 13).\n     |- The departure day of Tallinn is Day 11. The arrival day of Rome is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Paris, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Tallinn to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Paris to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 11 - 13).\n     |- The departure day of Hamburg is Day 11. The arrival day of Rome is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Paris, Hamburg].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Hamburg to Rome.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Paris to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Rome (Day 11 - 13).\n     |- The departure day of Seville is Day 11. The arrival day of Rome is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Paris, Seville].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Seville to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Zurich (Day 13 - 16).\n       |- The departure day of Rome is Day 13. The arrival day of Zurich is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Nice, Paris, Seville, Rome].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Rome to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 23 - 26).\n         |- The departure day of Zurich is Day 16. The arrival day of Stuttgart is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Nice, Paris, Seville, Rome, Zurich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Hamburg] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Zurich to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 23 - 26).\n           |- The departure day of Warsaw is Day 20. The arrival day of Stuttgart is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Nice, Paris, Seville, Rome, Zurich, Warsaw].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Hamburg] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Warsaw to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Stuttgart (Day 23 - 26).\n             |- The departure day of Hamburg is Day 23. The arrival day of Stuttgart is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Nice, Paris, Seville, Rome, Zurich, Warsaw, Hamburg].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Hamburg to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Zurich to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stuttgart (Day 23 - 26).\n           |- The departure day of Tallinn is Day 19. The arrival day of Stuttgart is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Nice, Paris, Seville, Rome, Zurich, Tallinn].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Tallinn to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 23 - 26).\n             |- The departure day of Warsaw is Day 23. The arrival day of Stuttgart is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Nice, Paris, Seville, Rome, Zurich, Tallinn, Warsaw].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Warsaw to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Bucharest (Day 29 - 30).\n               |- The departure day of Stuttgart is Day 26. The arrival day of Bucharest is Day 29. Day 26 is not later than (<=) Day 29. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Nice, Paris, Seville, Rome, Zurich, Tallinn, Warsaw, Stuttgart].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                 |- Check for direct flight from Stuttgart to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Bucharest (Day 29 - 30).\n                 |- The departure day of Hamburg is Day 29. The arrival day of Bucharest is Day 29. Day 29 is not later than (<=) Day 29. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Nice, Paris, Seville, Rome, Zurich, Tallinn, Warsaw, Stuttgart, Hamburg].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- Yes. The city with an arrival day of Day 29 - is fixed: Bucharest.\n                   |- Try arranging to visit Bucharest from Day 29. Duration: 2 days. Schedule: Day 29 - 30.\n                   |- Check for direct flight from Hamburg to Bucharest.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Nice, Paris, Seville, Rome, Zurich, Tallinn, Warsaw, Stuttgart, Hamburg, Bucharest].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Seville.\n**Day 8-11:** Visit Seville for 4 days.\n**Day 11:** Fly from Seville to Rome.\n**Day 11-13:** Visit Rome for 3 days.\n**Day 13:** Fly from Rome to Zurich.\n**Day 13-16:** Visit Zurich for 4 days.\n**Day 16:** Fly from Zurich to Tallinn.\n**Day 16-19:** Visit Tallinn for 4 days.\n**Day 19:** Fly from Tallinn to Warsaw.\n**Day 19-23:** Visit Warsaw for 5 days.\n**Day 23:** Fly from Warsaw to Stuttgart.\n**Day 23-26:** Visit Stuttgart for 4 days.\n**Day 26:** Fly from Stuttgart to Hamburg.\n**Day 26-29:** Visit Hamburg for 4 days.\n**Day 29:** Fly from Hamburg to Bucharest.\n**Day 29-30:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Milan**Copenhagen**Rome**Split**Prague**Budapest**Dublin**Venice**Manchester",
    "ground_truth_durations": "3**3**2**5**3**2**2**3**2**4",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Dublin"
      ],
      [
        "Milan",
        "Budapest"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Copenhagen",
        "Prague"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Prague",
        "Budapest"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Split",
        "Prague"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Budapest",
        "Dublin"
      ],
      [
        "Copenhagen",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Rome for 5 days. From day 6 to day 10, there is a annual show you want to attend in Rome. You plan to stay in Budapest for 2 days. During day 13 and day 14, you have to attend a conference in Budapest. You want to spend 3 days in Dublin. You would like to visit Copenhagen for 2 days. You plan to visit relatives in Copenhagen between day 5 and day 6. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 3 and day 5. You plan to stay in Prague for 2 days. You plan to stay in Santorini for 3 days. You would like to visit Manchester for 4 days. You would like to meet your friends at Manchester between day 17 and day 20 to tour together. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Dublin, Milan and Budapest, Rome and Prague, Santorini and Manchester, Rome and Dublin, Milan and Prague, Copenhagen and Prague, Rome and Venice, Copenhagen and Split, Milan and Copenhagen, Santorini and Copenhagen, Santorini and Venice, Copenhagen and Budapest, Budapest and Manchester, Copenhagen and Rome, Milan and Split, Milan and Manchester, Prague and Budapest, Santorini and Milan, Venice and Manchester, Copenhagen and Manchester, Dublin and Venice, Prague and Dublin, Rome and Split, Santorini and Rome, Prague and Manchester, Split and Prague, Milan and Dublin, Rome and Budapest, Split and Dublin, Santorini and Dublin, from Manchester to Split, Rome and Manchester, Dublin and Manchester, Budapest and Dublin, Copenhagen and Venice.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Venice. You plan to stay in Rome for 5 days. From day 6 to day 10, there is a annual show you want to attend in Rome. You plan to stay in Budapest for 2 days. During day 13 and day 14, you have to attend a conference in Budapest. You want to spend 3 days in Dublin. You would like to visit Copenhagen for 2 days. You plan to visit relatives in Copenhagen between day 5 and day 6. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 3 and day 5. You plan to stay in Prague for 2 days. You plan to stay in Santorini for 3 days. You would like to visit Manchester for 4 days. You would like to meet your friends at Manchester between day 17 and day 20 to tour together. You plan to stay in Split for 3 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Dublin, from Milan to Budapest, from Rome to Prague, from Santorini to Manchester, from Rome to Dublin, from Milan to Prague, from Copenhagen to Prague, from Rome to Venice, from Copenhagen to Split, from Milan to Copenhagen, from Santorini to Copenhagen, from Santorini to Venice, from Copenhagen to Budapest, from Budapest to Manchester, from Copenhagen to Rome, from Milan to Split, from Milan to Manchester, from Prague to Budapest, from Santorini to Milan, from Venice to Manchester, from Copenhagen to Manchester, from Dublin to Venice, from Prague to Dublin, from Rome to Split, from Santorini to Rome, from Prague to Manchester, from Split to Prague, from Milan to Dublin, from Rome to Budapest, from Split to Dublin, from Santorini to Dublin, from Manchester to Split, from Rome to Manchester, from Dublin to Manchester, from Budapest to Dublin, from Copenhagen to Venice.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Venice.\n**Day 16-17:** Visit Venice for 2 days.\n**Day 17:** Fly from Venice to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1475",
    "estimated_output_tokens": 5333,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Dublin, Duration: 3 days.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Prague, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Split, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 3 - 5.\n* City: Copenhagen, Fixed Schedule: Day 5 - 6.\n* City: Rome, Fixed Schedule: Day 6 - 10.\n* City: Budapest, Fixed Schedule: Day 13 - 14.\n* City: Manchester, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Split, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Dublin, Prague, Santorini, Split] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Venice is Day 2. The arrival day of Milan is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dublin, Prague, Santorini, Split] and explore these options in order.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dublin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Dublin is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dublin to Milan.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Prague is Day 2. The arrival day of Milan is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Dublin, Santorini, Split] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 3 - 5).\n   |- The departure day of Dublin is Day 4. The arrival day of Milan is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Split.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 5).\n |- The departure day of Santorini is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 5 - 6).\n   |- The departure day of Milan is Day 5. The arrival day of Copenhagen is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Santorini, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 6 - 10).\n     |- The departure day of Copenhagen is Day 6. The arrival day of Rome is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Santorini, Milan, Copenhagen].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Copenhagen to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 13 - 14).\n       |- The departure day of Rome is Day 10. The arrival day of Budapest is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Milan, Copenhagen, Rome].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Dublin, Prague, Split] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Rome to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 14).\n         |- The departure day of Venice is Day 11. The arrival day of Budapest is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Milan, Copenhagen, Rome, Venice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Prague, Split] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Venice to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Venice to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dublin from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Rome to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 14).\n         |- The departure day of Dublin is Day 12. The arrival day of Budapest is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Milan, Copenhagen, Rome, Dublin].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Prague, Split] and explore these options in order.\n           |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Dublin to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 13 - 14).\n           |- The departure day of Venice is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Milan, Copenhagen, Rome, Dublin, Venice].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Venice to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Dublin to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Dublin to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Rome to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 14).\n         |- The departure day of Prague is Day 11. The arrival day of Budapest is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Milan, Copenhagen, Rome, Prague].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Dublin, Split] and explore these options in order.\n           |- Try arranging to visit Venice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Prague to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Prague to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 13 - 14).\n           |- The departure day of Dublin is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Milan, Copenhagen, Rome, Prague, Dublin].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Dublin to Budapest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Prague to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Rome to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Budapest (Day 13 - 14).\n         |- The departure day of Split is Day 12. The arrival day of Budapest is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Santorini, Milan, Copenhagen, Rome, Split].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Dublin, Prague] and explore these options in order.\n           |- Try arranging to visit Venice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Split to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dublin from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Split to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 13 - 14).\n           |- The departure day of Dublin is Day 14. The arrival day of Budapest is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Split to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Budapest (Day 13 - 14).\n           |- The departure day of Prague is Day 13. The arrival day of Budapest is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Santorini, Milan, Copenhagen, Rome, Split, Prague].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Prague to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 17 - 20).\n             |- The departure day of Budapest is Day 14. The arrival day of Manchester is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Santorini, Milan, Copenhagen, Rome, Split, Prague, Budapest].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Venice, Dublin] and explore these options in order.\n               |- Try arranging to visit Venice from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n               |- Check for direct flight from Budapest to Venice.\n               |- No. Drop this branch.\n               |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Budapest to Dublin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 17 - 20).\n               |- The departure day of Dublin is Day 16. The arrival day of Manchester is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Santorini, Milan, Copenhagen, Rome, Split, Prague, Budapest, Dublin].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n                 |- Try arranging to visit Venice from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n                 |- Check for direct flight from Dublin to Venice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Manchester (Day 17 - 20).\n                 |- The departure day of Venice is Day 17. The arrival day of Manchester is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Santorini, Milan, Copenhagen, Rome, Split, Prague, Budapest, Dublin, Venice].\n                  |- Check whether the city with an arrival day of Day 17 - is fixed.\n                  |- Yes. The city with an arrival day of Day 17 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                   |- Check for direct flight from Venice to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Santorini, Milan, Copenhagen, Rome, Split, Prague, Budapest, Dublin, Venice, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Milan.\n**Day 3-5:** Visit Milan for 3 days.\n**Day 5:** Fly from Milan to Copenhagen.\n**Day 5-6:** Visit Copenhagen for 2 days.\n**Day 6:** Fly from Copenhagen to Rome.\n**Day 6-10:** Visit Rome for 5 days.\n**Day 10:** Fly from Rome to Split.\n**Day 10-12:** Visit Split for 3 days.\n**Day 12:** Fly from Split to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Budapest.\n**Day 13-14:** Visit Budapest for 2 days.\n**Day 14:** Fly from Budapest to Dublin.\n**Day 14-16:** Visit Dublin for 3 days.\n**Day 16:** Fly from Dublin to Venice.\n**Day 16-17:** Visit Venice for 2 days.\n**Day 17:** Fly from Venice to Manchester.\n**Day 17-20:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Vienna**Reykjavik**Athens**Geneva**Paris**Seville**Manchester**Hamburg**Salzburg",
    "ground_truth_durations": "4**2**2**2**2**3**5**5**4**2",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Athens",
        "Paris"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Athens",
        "Manchester"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Vienna",
        "Geneva"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. From day 8 to day 10, there is a annual show you want to attend in Paris. You want to spend 5 days in Seville. You would like to visit Manchester for 5 days. You plan to stay in Geneva for 2 days. You want to spend 4 days in Mykonos. You want to spend 2 days in Vienna. You want to spend 2 days in Salzburg. You plan to stay in Athens for 2 days. You plan to stay in Reykjavik for 2 days. You plan to visit relatives in Reykjavik between day 5 and day 6. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nAthens and Paris, Mykonos and Vienna, Athens and Manchester, Hamburg and Salzburg, Paris and Manchester, Paris and Seville, Vienna and Seville, from Reykjavik to Athens, Geneva and Manchester, Vienna and Paris, from Hamburg to Geneva, Mykonos and Athens, Geneva and Paris, Vienna and Manchester, Vienna and Reykjavik, Vienna and Athens, Athens and Geneva, Vienna and Hamburg, Vienna and Geneva, Seville and Manchester, Athens and Hamburg, Paris and Hamburg, Manchester and Hamburg, Mykonos and Geneva, Reykjavik and Paris.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 3 days. From day 8 to day 10, there is a annual show you want to attend in Paris. You want to spend 5 days in Seville. You would like to visit Manchester for 5 days. You plan to stay in Geneva for 2 days. You want to spend 4 days in Mykonos. You want to spend 2 days in Vienna. You want to spend 2 days in Salzburg. You plan to stay in Athens for 2 days. You plan to stay in Reykjavik for 2 days. You plan to visit relatives in Reykjavik between day 5 and day 6. You plan to stay in Hamburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Athens to Paris, from Mykonos to Vienna, from Athens to Manchester, from Hamburg to Salzburg, from Paris to Manchester, from Paris to Seville, from Vienna to Seville, from Reykjavik to Athens, from Geneva to Manchester, from Vienna to Paris, from Hamburg to Geneva, from Mykonos to Athens, from Geneva to Paris, from Vienna to Manchester, from Vienna to Reykjavik, from Vienna to Athens, from Athens to Geneva, from Vienna to Hamburg, from Vienna to Geneva, from Seville to Manchester, from Athens to Hamburg, from Paris to Hamburg, from Manchester to Hamburg, from Mykonos to Geneva, from Reykjavik to Paris.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Seville.\n**Day 10-14:** Visit Seville for 5 days.\n**Day 14:** Fly from Seville to Manchester.\n**Day 14-18:** Visit Manchester for 5 days.\n**Day 18:** Fly from Manchester to Hamburg.\n**Day 18-21:** Visit Hamburg for 4 days.\n**Day 21:** Fly from Hamburg to Salzburg.\n**Day 21-22:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1476",
    "estimated_output_tokens": 4403,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Seville, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Hamburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Reykjavik, Fixed Schedule: Day 5 - 6.\n* City: Paris, Fixed Schedule: Day 8 - 10.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Manchester, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n* City: Mykonos, Duration: 4 days.\n* City: Vienna, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Athens, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Manchester, Geneva, Mykonos, Vienna, Salzburg, Athens, Hamburg] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Seville is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Manchester is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Geneva is Day 2. The arrival day of Reykjavik is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Mykonos, Vienna, Salzburg, Athens, Hamburg] and explore these options in order.\n   |- Try arranging to visit Seville from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Geneva to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Reykjavik (Day 5 - 6).\n   |- The departure day of Manchester is Day 6. The arrival day of Reykjavik is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Vienna.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Geneva to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Mykonos from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Mykonos is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Geneva, Vienna, Salzburg, Athens, Hamburg] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Mykonos to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Geneva is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Geneva].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Vienna is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vienna to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 8 - 10).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Paris is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Mykonos, Vienna, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Geneva, Salzburg, Athens, Hamburg] and explore these options in order.\n       |- Try arranging to visit Seville from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Reykjavik to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Reykjavik to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Reykjavik to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Reykjavik to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Paris (Day 8 - 10).\n       |- The departure day of Athens is Day 7. The arrival day of Paris is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Mykonos, Vienna, Reykjavik, Athens].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Geneva, Salzburg, Hamburg] and explore these options in order.\n         |- Try arranging to visit Seville from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Athens to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Athens to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 8 - 10).\n         |- The departure day of Manchester is Day 11. The arrival day of Paris is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Athens to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Paris (Day 8 - 10).\n         |- The departure day of Geneva is Day 8. The arrival day of Paris is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Paris.\n           |- Try arranging to visit Paris from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Geneva to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 10. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva, Paris].\n            |- Check whether the city with an arrival day of Day 10 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Manchester, Salzburg, Hamburg] and explore these options in order.\n             |- Try arranging to visit Seville from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n             |- Check for direct flight from Paris to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva, Paris, Seville].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Salzburg, Hamburg] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Seville to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva, Paris, Seville, Manchester].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg, Hamburg] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Manchester to Salzburg.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Hamburg from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Manchester to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva, Paris, Seville, Manchester, Hamburg].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                   |- Check for direct flight from Hamburg to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Mykonos, Vienna, Reykjavik, Athens, Geneva, Paris, Seville, Manchester, Hamburg, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Mykonos and visit Mykonos for 4 days.\n**Day 4:** Fly from Mykonos to Vienna.\n**Day 4-5:** Visit Vienna for 2 days.\n**Day 5:** Fly from Vienna to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-7:** Visit Athens for 2 days.\n**Day 7:** Fly from Athens to Geneva.\n**Day 7-8:** Visit Geneva for 2 days.\n**Day 8:** Fly from Geneva to Paris.\n**Day 8-10:** Visit Paris for 3 days.\n**Day 10:** Fly from Paris to Seville.\n**Day 10-14:** Visit Seville for 5 days.\n**Day 14:** Fly from Seville to Manchester.\n**Day 14-18:** Visit Manchester for 5 days.\n**Day 18:** Fly from Manchester to Hamburg.\n**Day 18-21:** Visit Hamburg for 4 days.\n**Day 21:** Fly from Hamburg to Salzburg.\n**Day 21-22:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Manchester**Munich**Edinburgh**Nice**Reykjavik**Warsaw**Vilnius**Zurich**Florence",
    "ground_truth_durations": "3**3**3**2**5**5**3**4**3**3",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 23,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Nice"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Edinburgh",
        "Zurich"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Edinburgh",
        "Nice"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You want to meet a friend in Reykjavik between day 12 and day 16. You plan to stay in Nice for 5 days. From day 8 to day 12, there is a annual show you want to attend in Nice. You would like to visit Warsaw for 3 days. You plan to stay in Florence for 3 days. During day 23 and day 25, you have to attend a conference in Florence. You want to spend 4 days in Vilnius. You would like to visit Manchester for 3 days. You want to spend 3 days in Zurich. You would like to visit Naples for 3 days. You have to attend a workshop in Naples between day 1 and day 3. You plan to stay in Edinburgh for 2 days. You would like to visit Munich for 3 days. You would like to meet your friends at Munich between day 5 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nNaples and Nice, Manchester and Nice, Vilnius and Zurich, Naples and Warsaw, Nice and Reykjavik, Naples and Manchester, from Florence to Munich, Munich and Warsaw, Munich and Edinburgh, Edinburgh and Zurich, from Vilnius to Munich, Naples and Munich, Nice and Warsaw, Manchester and Warsaw, Warsaw and Zurich, Nice and Zurich, Naples and Zurich, Warsaw and Vilnius, Munich and Zurich, Reykjavik and Zurich, from Zurich to Florence, Manchester and Zurich, Munich and Nice, Munich and Reykjavik, Manchester and Munich, Edinburgh and Nice, Reykjavik and Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Reykjavik. You want to meet a friend in Reykjavik between day 12 and day 16. You plan to stay in Nice for 5 days. From day 8 to day 12, there is a annual show you want to attend in Nice. You would like to visit Warsaw for 3 days. You plan to stay in Florence for 3 days. During day 23 and day 25, you have to attend a conference in Florence. You want to spend 4 days in Vilnius. You would like to visit Manchester for 3 days. You want to spend 3 days in Zurich. You would like to visit Naples for 3 days. You have to attend a workshop in Naples between day 1 and day 3. You plan to stay in Edinburgh for 2 days. You would like to visit Munich for 3 days. You would like to meet your friends at Munich between day 5 and day 7 to tour together.\n\nHere are the cities that have direct flights:\nfrom Naples to Nice, from Manchester to Nice, from Vilnius to Zurich, from Naples to Warsaw, from Nice to Reykjavik, from Naples to Manchester, from Florence to Munich, from Munich to Warsaw, from Munich to Edinburgh, from Edinburgh to Zurich, from Vilnius to Munich, from Naples to Munich, from Nice to Warsaw, from Manchester to Warsaw, from Warsaw to Zurich, from Nice to Zurich, from Naples to Zurich, from Warsaw to Vilnius, from Munich to Zurich, from Reykjavik to Zurich, from Zurich to Florence, from Manchester to Zurich, from Munich to Nice, from Munich to Reykjavik, from Manchester to Munich, from Edinburgh to Nice, from Reykjavik to Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Manchester.\n**Day 3-5:** Visit Manchester for 3 days.\n**Day 5:** Fly from Manchester to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Vilnius.\n**Day 18-21:** Visit Vilnius for 4 days.\n**Day 21:** Fly from Vilnius to Zurich.\n**Day 21-23:** Visit Zurich for 3 days.\n**Day 23:** Fly from Zurich to Florence.\n**Day 23-25:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1477",
    "estimated_output_tokens": 3177,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Warsaw, Duration: 3 days.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 23 - 25.\n* City: Vilnius, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Edinburgh, Duration: 2 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 1 - 3.\n* City: Munich, Fixed Schedule: Day 5 - 7.\n* City: Nice, Fixed Schedule: Day 8 - 12.\n* City: Reykjavik, Fixed Schedule: Day 12 - 16.\n* City: Florence, Fixed Schedule: Day 23 - 25.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Naples.\n |- Try arranging to visit Naples from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 7).\n |- The departure day of Naples is Day 3. The arrival day of Munich is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Manchester, Zurich, Edinburgh] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Naples to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 5 - 7).\n   |- The departure day of Warsaw is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Warsaw].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Warsaw to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Naples to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Naples to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 5 - 7).\n   |- The departure day of Manchester is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Naples, Manchester].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Manchester to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 8 - 12).\n     |- The departure day of Munich is Day 7. The arrival day of Nice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Manchester, Munich].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Zurich, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Munich to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 8 - 12).\n       |- The departure day of Warsaw is Day 9. The arrival day of Nice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Munich to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 8 - 12).\n       |- The departure day of Zurich is Day 9. The arrival day of Nice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Munich to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 8 - 12).\n       |- The departure day of Edinburgh is Day 8. The arrival day of Nice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Manchester, Munich, Edinburgh].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Edinburgh to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 12 - 16).\n         |- The departure day of Nice is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Florence (Day 23 - 25).\n           |- The departure day of Reykjavik is Day 16. The arrival day of Florence is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice, Reykjavik].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Zurich] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Reykjavik to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 23 - 25).\n             |- The departure day of Warsaw is Day 18. The arrival day of Florence is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice, Reykjavik, Warsaw].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Zurich] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Warsaw to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Florence (Day 23 - 25).\n               |- The departure day of Vilnius is Day 21. The arrival day of Florence is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice, Reykjavik, Warsaw, Vilnius].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Vilnius to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Florence (Day 23 - 25).\n                 |- The departure day of Zurich is Day 23. The arrival day of Florence is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice, Reykjavik, Warsaw, Vilnius, Zurich].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                   |- Check for direct flight from Zurich to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Naples, Manchester, Munich, Edinburgh, Nice, Reykjavik, Warsaw, Vilnius, Zurich, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Naples and visit Naples for 3 days.\n**Day 3:** Fly from Naples to Manchester.\n**Day 3-5:** Visit Manchester for 3 days.\n**Day 5:** Fly from Manchester to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Edinburgh.\n**Day 7-8:** Visit Edinburgh for 2 days.\n**Day 8:** Fly from Edinburgh to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Reykjavik.\n**Day 12-16:** Visit Reykjavik for 5 days.\n**Day 16:** Fly from Reykjavik to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Vilnius.\n**Day 18-21:** Visit Vilnius for 4 days.\n**Day 21:** Fly from Vilnius to Zurich.\n**Day 21-23:** Visit Zurich for 3 days.\n**Day 23:** Fly from Zurich to Florence.\n**Day 23-25:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Florence**Paris**Venice**Nice**Istanbul**Milan**Split**Stockholm**Dubrovnik",
    "ground_truth_durations": "2**2**4**4**2**3**3**4**2**3",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 2,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Split"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Zurich",
        "Paris"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Zurich",
        "Istanbul"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Nice",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Florence",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. From day 9 to day 10, there is a annual show you want to attend in Nice. You plan to stay in Zurich for 2 days. You would like to visit Paris for 4 days. You want to meet a friend in Paris between day 3 and day 6. You would like to visit Milan for 3 days. You plan to stay in Istanbul for 3 days. During day 10 and day 12, you have to attend a conference in Istanbul. You want to spend 4 days in Split. You want to spend 3 days in Dubrovnik. You would like to visit Stockholm for 2 days. You would like to meet your friends at Stockholm between day 17 and day 18 to tour together. You would like to visit Florence for 2 days. You plan to visit relatives in Florence between day 2 and day 3. You want to spend 4 days in Venice.\n\nHere are the cities that have direct flights:\nMilan and Split, Venice and Istanbul, Split and Stockholm, Zurich and Split, Paris and Milan, Venice and Nice, Paris and Stockholm, Paris and Split, Istanbul and Milan, Zurich and Paris, Paris and Venice, Stockholm and Dubrovnik, Paris and Nice, Zurich and Istanbul, Zurich and Stockholm, Zurich and Venice, from Zurich to Florence, Zurich and Milan, Zurich and Nice, Paris and Istanbul, Zurich and Dubrovnik, Nice and Stockholm, Nice and Istanbul, from Dubrovnik to Istanbul, Milan and Stockholm, Istanbul and Stockholm, Florence and Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 2 days. From day 9 to day 10, there is a annual show you want to attend in Nice. You plan to stay in Zurich for 2 days. You would like to visit Paris for 4 days. You want to meet a friend in Paris between day 3 and day 6. You would like to visit Milan for 3 days. You plan to stay in Istanbul for 3 days. During day 10 and day 12, you have to attend a conference in Istanbul. You want to spend 4 days in Split. You want to spend 3 days in Dubrovnik. You would like to visit Stockholm for 2 days. You would like to meet your friends at Stockholm between day 17 and day 18 to tour together. You would like to visit Florence for 2 days. You plan to visit relatives in Florence between day 2 and day 3. You want to spend 4 days in Venice.\n\nHere are the cities that have direct flights:\nfrom Milan to Split, from Venice to Istanbul, from Split to Stockholm, from Zurich to Split, from Paris to Milan, from Venice to Nice, from Paris to Stockholm, from Paris to Split, from Istanbul to Milan, from Zurich to Paris, from Paris to Venice, from Stockholm to Dubrovnik, from Paris to Nice, from Zurich to Istanbul, from Zurich to Stockholm, from Zurich to Venice, from Zurich to Florence, from Zurich to Milan, from Zurich to Nice, from Paris to Istanbul, from Zurich to Dubrovnik, from Nice to Stockholm, from Nice to Istanbul, from Dubrovnik to Istanbul, from Milan to Stockholm, from Istanbul to Stockholm, from Florence to Paris.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-10:** Visit Nice for 2 days.\n**Day 10:** Fly from Nice to Istanbul.\n**Day 10-12:** Visit Istanbul for 3 days.\n**Day 12:** Fly from Istanbul to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.\n**Day 18:** Fly from Stockholm to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1478",
    "estimated_output_tokens": 3234,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Zurich, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Milan, Duration: 3 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 2 - 3.\n* City: Paris, Fixed Schedule: Day 3 - 6.\n* City: Nice, Fixed Schedule: Day 9 - 10.\n* City: Istanbul, Fixed Schedule: Day 10 - 12.\n* City: Stockholm, Fixed Schedule: Day 17 - 18.\n\nCities needing arrangement:\n* City: Zurich, Duration: 2 days.\n* City: Milan, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Milan, Split, Dubrovnik, Venice] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 3).\n |- The departure day of Zurich is Day 2. The arrival day of Florence is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 3 - 6).\n   |- The departure day of Florence is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Zurich, Florence].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Florence to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 9 - 10).\n     |- The departure day of Paris is Day 6. The arrival day of Nice is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Zurich, Florence, Paris].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Split, Dubrovnik, Venice] and explore these options in order.\n       |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Paris to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 10).\n       |- The departure day of Milan is Day 8. The arrival day of Nice is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Zurich, Florence, Paris, Milan].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Venice] and explore these options in order.\n         |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Milan to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 10).\n         |- The departure day of Split is Day 11. The arrival day of Nice is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Milan to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Milan to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Paris to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 10).\n       |- The departure day of Split is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Zurich, Florence, Paris, Split].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Split to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Paris to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Paris to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 9 - 10).\n       |- The departure day of Venice is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Zurich, Florence, Paris, Venice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Venice to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Istanbul (Day 10 - 12).\n         |- The departure day of Nice is Day 10. The arrival day of Istanbul is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Zurich, Florence, Paris, Venice, Nice].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Istanbul.\n           |- Try arranging to visit Istanbul from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Nice to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 17 - 18).\n           |- The departure day of Istanbul is Day 12. The arrival day of Stockholm is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Zurich, Florence, Paris, Venice, Nice, Istanbul].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Split, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Milan from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Istanbul to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 17 - 18).\n             |- The departure day of Milan is Day 14. The arrival day of Stockholm is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Zurich, Florence, Paris, Venice, Nice, Istanbul, Milan].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Milan to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 17 - 18).\n               |- The departure day of Split is Day 17. The arrival day of Stockholm is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Zurich, Florence, Paris, Venice, Nice, Istanbul, Milan, Split].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- Yes. The city with an arrival day of Day 17 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Split to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Zurich, Florence, Paris, Venice, Nice, Istanbul, Milan, Split, Stockholm].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                   |- Check for direct flight from Stockholm to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Zurich, Florence, Paris, Venice, Nice, Istanbul, Milan, Split, Stockholm, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Florence.\n**Day 2-3:** Visit Florence for 2 days.\n**Day 3:** Fly from Florence to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Venice.\n**Day 6-9:** Visit Venice for 4 days.\n**Day 9:** Fly from Venice to Nice.\n**Day 9-10:** Visit Nice for 2 days.\n**Day 10:** Fly from Nice to Istanbul.\n**Day 10-12:** Visit Istanbul for 3 days.\n**Day 12:** Fly from Istanbul to Milan.\n**Day 12-14:** Visit Milan for 3 days.\n**Day 14:** Fly from Milan to Split.\n**Day 14-17:** Visit Split for 4 days.\n**Day 17:** Fly from Split to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.\n**Day 18:** Fly from Stockholm to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Barcelona**Seville**Dublin**Budapest**Nice**Riga**Vilnius**Frankfurt**Venice",
    "ground_truth_durations": "4**2**2**3**3**2**5**4**3**3",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Seville",
        "Dublin"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Budapest",
        "Nice"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Nice",
        "Venice"
      ],
      [
        "Warsaw",
        "Barcelona"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Warsaw",
        "Budapest"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Venice"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Budapest",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You plan to stay in Seville for 2 days. You would like to visit Vilnius for 4 days. You have to attend a workshop in Vilnius between day 15 and day 18. You plan to stay in Dublin for 3 days. You plan to stay in Barcelona for 2 days. You want to spend 3 days in Budapest. You would like to meet your friends at Budapest between day 8 and day 10 to tour together. You would like to visit Warsaw for 4 days. From day 1 to day 4, there is a annual show you want to attend in Warsaw. You plan to stay in Nice for 2 days. You would like to visit Venice for 3 days. You would like to visit Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nDublin and Budapest, Seville and Dublin, Riga and Frankfurt, Dublin and Nice, Dublin and Frankfurt, Vilnius and Frankfurt, Barcelona and Nice, Warsaw and Riga, Budapest and Nice, Frankfurt and Venice, Nice and Frankfurt, Dublin and Riga, from Riga to Vilnius, Barcelona and Budapest, Barcelona and Seville, Nice and Venice, Warsaw and Barcelona, Nice and Riga, Warsaw and Venice, Barcelona and Riga, Warsaw and Frankfurt, Barcelona and Venice, Warsaw and Budapest, Barcelona and Frankfurt, Dublin and Venice, Warsaw and Vilnius, Warsaw and Nice, Barcelona and Dublin, Budapest and Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Riga for 5 days. You plan to stay in Seville for 2 days. You would like to visit Vilnius for 4 days. You have to attend a workshop in Vilnius between day 15 and day 18. You plan to stay in Dublin for 3 days. You plan to stay in Barcelona for 2 days. You want to spend 3 days in Budapest. You would like to meet your friends at Budapest between day 8 and day 10 to tour together. You would like to visit Warsaw for 4 days. From day 1 to day 4, there is a annual show you want to attend in Warsaw. You plan to stay in Nice for 2 days. You would like to visit Venice for 3 days. You would like to visit Frankfurt for 3 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Budapest, from Seville to Dublin, from Riga to Frankfurt, from Dublin to Nice, from Dublin to Frankfurt, from Vilnius to Frankfurt, from Barcelona to Nice, from Warsaw to Riga, from Budapest to Nice, from Frankfurt to Venice, from Nice to Frankfurt, from Dublin to Riga, from Riga to Vilnius, from Barcelona to Budapest, from Barcelona to Seville, from Nice to Venice, from Warsaw to Barcelona, from Nice to Riga, from Warsaw to Venice, from Barcelona to Riga, from Warsaw to Frankfurt, from Barcelona to Venice, from Warsaw to Budapest, from Barcelona to Frankfurt, from Dublin to Venice, from Warsaw to Vilnius, from Warsaw to Nice, from Barcelona to Dublin, from Budapest to Frankfurt.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Nice.\n**Day 10-11:** Visit Nice for 2 days.\n**Day 11:** Fly from Nice to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Frankfurt.\n**Day 18-20:** Visit Frankfurt for 3 days.\n**Day 20:** Fly from Frankfurt to Venice.\n**Day 20-22:** Visit Venice for 3 days.",
    "id": "trip_planning_example_1479",
    "estimated_output_tokens": 3113,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Dublin, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Nice, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Frankfurt, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 4.\n* City: Budapest, Fixed Schedule: Day 8 - 10.\n* City: Vilnius, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Riga, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Dublin, Duration: 3 days.\n* City: Barcelona, Duration: 2 days.\n* City: Nice, Duration: 2 days.\n* City: Venice, Duration: 3 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 8 - 10).\n |- The departure day of Warsaw is Day 4. The arrival day of Budapest is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Seville, Dublin, Barcelona, Nice, Venice, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Warsaw to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 10).\n   |- The departure day of Riga is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Warsaw, Riga].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Riga to Budapest.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Dublin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Warsaw to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Budapest (Day 8 - 10).\n   |- The departure day of Barcelona is Day 5. The arrival day of Budapest is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Warsaw, Barcelona].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Seville, Dublin, Nice, Venice, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Barcelona to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 10).\n     |- The departure day of Riga is Day 9. The arrival day of Budapest is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Barcelona to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 8 - 10).\n     |- The departure day of Seville is Day 6. The arrival day of Budapest is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Warsaw, Barcelona, Seville].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Dublin, Nice, Venice, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Seville to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dublin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Seville to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Budapest (Day 8 - 10).\n       |- The departure day of Dublin is Day 8. The arrival day of Budapest is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Warsaw, Barcelona, Seville, Dublin].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Budapest.\n         |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Dublin to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 15 - 18).\n         |- The departure day of Budapest is Day 10. The arrival day of Vilnius is Day 15. Day 10 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Nice, Venice, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Budapest to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Budapest to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 15 - 18).\n           |- The departure day of Nice is Day 11. The arrival day of Vilnius is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest, Nice].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Riga from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Nice to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 15 - 18).\n             |- The departure day of Riga is Day 15. The arrival day of Vilnius is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest, Nice, Riga].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Riga to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest, Nice, Riga, Vilnius].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Venice, Frankfurt] and explore these options in order.\n                 |- Try arranging to visit Venice from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Vilnius to Venice.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Frankfurt from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Vilnius to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest, Nice, Riga, Vilnius, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n                   |- Try arranging to visit Venice from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                   |- Check for direct flight from Frankfurt to Venice.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Warsaw, Barcelona, Seville, Dublin, Budapest, Nice, Riga, Vilnius, Frankfurt, Venice].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Warsaw and visit Warsaw for 4 days.\n**Day 4:** Fly from Warsaw to Barcelona.\n**Day 4-5:** Visit Barcelona for 2 days.\n**Day 5:** Fly from Barcelona to Seville.\n**Day 5-6:** Visit Seville for 2 days.\n**Day 6:** Fly from Seville to Dublin.\n**Day 6-8:** Visit Dublin for 3 days.\n**Day 8:** Fly from Dublin to Budapest.\n**Day 8-10:** Visit Budapest for 3 days.\n**Day 10:** Fly from Budapest to Nice.\n**Day 10-11:** Visit Nice for 2 days.\n**Day 11:** Fly from Nice to Riga.\n**Day 11-15:** Visit Riga for 5 days.\n**Day 15:** Fly from Riga to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Frankfurt.\n**Day 18-20:** Visit Frankfurt for 3 days.\n**Day 20:** Fly from Frankfurt to Venice.\n**Day 20-22:** Visit Venice for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Madrid**Venice**Munich**Reykjavik**Vienna**Riga**Vilnius**Istanbul**Brussels",
    "ground_truth_durations": "4**4**5**5**2**4**2**4**4**2",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 26,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Vienna"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Riga",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Madrid",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Riga",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 4 days. You want to spend 4 days in Vienna. You plan to stay in Riga for 2 days. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 26 and day 27. You plan to stay in Madrid for 4 days. You want to spend 4 days in Vilnius. You would like to meet your friends at Vilnius between day 20 and day 23 to tour together. You want to spend 5 days in Venice. You have to attend a workshop in Venice between day 7 and day 11. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 1 and day 4. You plan to stay in Munich for 5 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nMunich and Vienna, Istanbul and Brussels, Vienna and Vilnius, Madrid and Munich, Venice and Brussels, Riga and Brussels, Geneva and Istanbul, Munich and Reykjavik, Vienna and Istanbul, Riga and Istanbul, Reykjavik and Vienna, Venice and Munich, Madrid and Venice, Vilnius and Istanbul, Venice and Vienna, Venice and Istanbul, from Reykjavik to Madrid, from Riga to Munich, Munich and Istanbul, Reykjavik and Brussels, Vilnius and Brussels, from Vilnius to Munich, Madrid and Vienna, Vienna and Riga, Geneva and Vienna, Madrid and Brussels, Vienna and Brussels, Geneva and Brussels, Geneva and Madrid, Munich and Brussels, Madrid and Istanbul, Geneva and Munich, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Istanbul for 4 days. You want to spend 4 days in Vienna. You plan to stay in Riga for 2 days. You plan to stay in Brussels for 2 days. You are going to attend a wedding in Brussels between day 26 and day 27. You plan to stay in Madrid for 4 days. You want to spend 4 days in Vilnius. You would like to meet your friends at Vilnius between day 20 and day 23 to tour together. You want to spend 5 days in Venice. You have to attend a workshop in Venice between day 7 and day 11. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 1 and day 4. You plan to stay in Munich for 5 days. You would like to visit Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Vienna, from Istanbul to Brussels, from Vienna to Vilnius, from Madrid to Munich, from Venice to Brussels, from Riga to Brussels, from Geneva to Istanbul, from Munich to Reykjavik, from Vienna to Istanbul, from Riga to Istanbul, from Reykjavik to Vienna, from Venice to Munich, from Madrid to Venice, from Vilnius to Istanbul, from Venice to Vienna, from Venice to Istanbul, from Reykjavik to Madrid, from Riga to Munich, from Munich to Istanbul, from Reykjavik to Brussels, from Vilnius to Brussels, from Vilnius to Munich, from Madrid to Vienna, from Vienna to Riga, from Geneva to Vienna, from Madrid to Brussels, from Vienna to Brussels, from Geneva to Brussels, from Geneva to Madrid, from Munich to Brussels, from Madrid to Istanbul, from Geneva to Munich, from Riga to Vilnius.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Madrid.\n**Day 4-7:** Visit Madrid for 4 days.\n**Day 7:** Fly from Madrid to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Munich.\n**Day 11-15:** Visit Munich for 5 days.\n**Day 15:** Fly from Munich to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n**Day 16:** Fly from Reykjavik to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Riga.\n**Day 19-20:** Visit Riga for 2 days.\n**Day 20:** Fly from Riga to Vilnius.\n**Day 20-23:** Visit Vilnius for 4 days.\n**Day 23:** Fly from Vilnius to Istanbul.\n**Day 23-26:** Visit Istanbul for 4 days.\n**Day 26:** Fly from Istanbul to Brussels.\n**Day 26-27:** Visit Brussels for 2 days.",
    "id": "trip_planning_example_1480",
    "estimated_output_tokens": 6929,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 26 - 27.\n* City: Madrid, Duration: 4 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Munich, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Venice, Fixed Schedule: Day 7 - 11.\n* City: Vilnius, Fixed Schedule: Day 20 - 23.\n* City: Brussels, Fixed Schedule: Day 26 - 27.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 4 days.\n* City: Vienna, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Madrid, Duration: 4 days.\n* City: Munich, Duration: 5 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 11).\n |- The departure day of Geneva is Day 4. The arrival day of Venice is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Riga, Madrid, Munich, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 11).\n   |- The departure day of Istanbul is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Istanbul to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 11).\n   |- The departure day of Vienna is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Geneva to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 7 - 11).\n   |- The departure day of Madrid is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Geneva, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 20 - 23).\n     |- The departure day of Venice is Day 11. The arrival day of Vilnius is Day 20. Day 11 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Geneva, Madrid, Venice].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Riga, Munich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Istanbul from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Venice to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 20 - 23).\n       |- The departure day of Istanbul is Day 14. The arrival day of Vilnius is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Madrid, Venice, Istanbul].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vienna, Riga, Munich, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Vienna from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Istanbul to Vienna.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Istanbul to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Istanbul to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Istanbul to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Venice to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 20 - 23).\n       |- The departure day of Vienna is Day 14. The arrival day of Vilnius is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Geneva, Madrid, Venice, Vienna].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Munich, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Vienna to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 23).\n         |- The departure day of Istanbul is Day 17. The arrival day of Vilnius is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Geneva, Madrid, Venice, Vienna, Istanbul].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Munich, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Istanbul to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Istanbul to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Istanbul to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Vienna to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 23).\n         |- The departure day of Riga is Day 15. The arrival day of Vilnius is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Geneva, Madrid, Venice, Vienna, Riga].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Munich, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Riga to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 20 - 23).\n           |- The departure day of Istanbul is Day 18. The arrival day of Vilnius is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Geneva, Madrid, Venice, Vienna, Riga, Istanbul].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Munich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Istanbul to Munich.\n             |- No. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Istanbul to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Munich from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Riga to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 20 - 23).\n           |- The departure day of Munich is Day 19. The arrival day of Vilnius is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Madrid, Venice, Vienna, Riga, Munich].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Munich to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 20 - 23).\n             |- The departure day of Istanbul is Day 22. The arrival day of Vilnius is Day 20. Day 22 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Munich to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 20 - 23).\n             |- The departure day of Reykjavik is Day 20. The arrival day of Vilnius is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Geneva, Madrid, Venice, Vienna, Riga, Munich, Reykjavik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Reykjavik to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Riga to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Vienna to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Vienna to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Venice to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 20 - 23).\n       |- The departure day of Munich is Day 15. The arrival day of Vilnius is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Geneva, Madrid, Venice, Munich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Riga, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Munich to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 20 - 23).\n         |- The departure day of Istanbul is Day 18. The arrival day of Vilnius is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Geneva, Madrid, Venice, Munich, Istanbul].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vienna, Riga, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Vienna from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Istanbul to Vienna.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Istanbul to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Istanbul to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Munich to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 20 - 23).\n         |- The departure day of Vienna is Day 18. The arrival day of Vilnius is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Geneva, Madrid, Venice, Munich, Vienna].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga, Reykjavik] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Vienna to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vilnius (Day 20 - 23).\n           |- The departure day of Istanbul is Day 21. The arrival day of Vilnius is Day 20. Day 21 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Riga from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Vienna to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vilnius (Day 20 - 23).\n           |- The departure day of Riga is Day 19. The arrival day of Vilnius is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Madrid, Venice, Munich, Vienna, Riga].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Riga to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 20 - 23).\n             |- The departure day of Istanbul is Day 22. The arrival day of Vilnius is Day 20. Day 22 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Riga to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Vienna to Reykjavik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Munich to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Munich to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 20 - 23).\n         |- The departure day of Reykjavik is Day 16. The arrival day of Vilnius is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Istanbul, Vienna, Riga] and explore these options in order.\n           |- Try arranging to visit Istanbul from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Reykjavik to Istanbul.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Reykjavik to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 20 - 23).\n           |- The departure day of Vienna is Day 19. The arrival day of Vilnius is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik, Vienna].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Riga] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Vienna to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 20 - 23).\n             |- The departure day of Istanbul is Day 22. The arrival day of Vilnius is Day 20. Day 22 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Riga from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Vienna to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 20 - 23).\n             |- The departure day of Riga is Day 20. The arrival day of Vilnius is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik, Vienna, Riga].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Riga to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Brussels (Day 26 - 27).\n               |- The departure day of Vilnius is Day 23. The arrival day of Brussels is Day 26. Day 23 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik, Vienna, Riga, Vilnius].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n                 |- Try arranging to visit Istanbul from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Vilnius to Istanbul.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Brussels (Day 26 - 27).\n                 |- The departure day of Istanbul is Day 26. The arrival day of Brussels is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik, Vienna, Riga, Vilnius, Istanbul].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Brussels.\n                   |- Try arranging to visit Brussels from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Istanbul to Brussels.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Geneva, Madrid, Venice, Munich, Reykjavik, Vienna, Riga, Vilnius, Istanbul, Brussels].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Madrid.\n**Day 4-7:** Visit Madrid for 4 days.\n**Day 7:** Fly from Madrid to Venice.\n**Day 7-11:** Visit Venice for 5 days.\n**Day 11:** Fly from Venice to Munich.\n**Day 11-15:** Visit Munich for 5 days.\n**Day 15:** Fly from Munich to Reykjavik.\n**Day 15-16:** Visit Reykjavik for 2 days.\n**Day 16:** Fly from Reykjavik to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Riga.\n**Day 19-20:** Visit Riga for 2 days.\n**Day 20:** Fly from Riga to Vilnius.\n**Day 20-23:** Visit Vilnius for 4 days.\n**Day 23:** Fly from Vilnius to Istanbul.\n**Day 23-26:** Visit Istanbul for 4 days.\n**Day 26:** Fly from Istanbul to Brussels.\n**Day 26-27:** Visit Brussels for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Seville**Valencia**Berlin**Stockholm**Split**Stuttgart**Budapest**Mykonos",
    "ground_truth_durations": "2**4**4**2**5**2**5**3**3**5",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 2,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Munich",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You would like to meet your friends at Stuttgart between day 18 and day 20 to tour together. You plan to stay in Florence for 2 days. You would like to visit Valencia for 2 days. You want to meet a friend in Valencia between day 8 and day 9. You plan to stay in Split for 5 days. You want to spend 2 days in Stockholm. You are going to attend a wedding in Stockholm between day 13 and day 14. You plan to stay in Munich for 4 days. You plan to visit relatives in Munich between day 2 and day 5. You would like to visit Budapest for 3 days. You would like to visit Mykonos for 5 days. You would like to visit Seville for 4 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nBerlin and Stuttgart, Berlin and Budapest, Berlin and Stockholm, Munich and Seville, Munich and Berlin, Stockholm and Stuttgart, Munich and Valencia, Valencia and Berlin, Stockholm and Split, Seville and Valencia, Munich and Budapest, from Florence to Munich, Berlin and Split, Munich and Stockholm, Valencia and Stuttgart, Split and Stuttgart, Munich and Mykonos, Stuttgart and Budapest, Budapest and Mykonos, Munich and Split.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You would like to meet your friends at Stuttgart between day 18 and day 20 to tour together. You plan to stay in Florence for 2 days. You would like to visit Valencia for 2 days. You want to meet a friend in Valencia between day 8 and day 9. You plan to stay in Split for 5 days. You want to spend 2 days in Stockholm. You are going to attend a wedding in Stockholm between day 13 and day 14. You plan to stay in Munich for 4 days. You plan to visit relatives in Munich between day 2 and day 5. You would like to visit Budapest for 3 days. You would like to visit Mykonos for 5 days. You would like to visit Seville for 4 days. You plan to stay in Berlin for 5 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Stuttgart, from Berlin to Budapest, from Berlin to Stockholm, from Munich to Seville, from Munich to Berlin, from Stockholm to Stuttgart, from Munich to Valencia, from Valencia to Berlin, from Stockholm to Split, from Seville to Valencia, from Munich to Budapest, from Florence to Munich, from Berlin to Split, from Munich to Stockholm, from Valencia to Stuttgart, from Split to Stuttgart, from Munich to Mykonos, from Stuttgart to Budapest, from Budapest to Mykonos, from Munich to Split.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Seville.\n**Day 5-8:** Visit Seville for 4 days.\n**Day 8:** Fly from Seville to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Stockholm.\n**Day 13-14:** Visit Stockholm for 2 days.\n**Day 14:** Fly from Stockholm to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Budapest.\n**Day 20-22:** Visit Budapest for 3 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1481",
    "estimated_output_tokens": 3324,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Florence, Duration: 2 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Split, Duration: 5 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Munich, Duration: 4 days, Fixed Schedule: Day 2 - 5.\n* City: Budapest, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 2 - 5.\n* City: Valencia, Fixed Schedule: Day 8 - 9.\n* City: Stockholm, Fixed Schedule: Day 13 - 14.\n* City: Stuttgart, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Florence, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Budapest, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Split, Budapest, Mykonos, Seville, Berlin] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 2 - 5).\n |- The departure day of Florence is Day 2. The arrival day of Munich is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Valencia (Day 8 - 9).\n   |- The departure day of Munich is Day 5. The arrival day of Valencia is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Budapest, Mykonos, Seville, Berlin] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n     |- The departure day of Split is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Budapest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n     |- The departure day of Budapest is Day 7. The arrival day of Valencia is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Munich, Budapest].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Mykonos, Seville, Berlin] and explore these options in order.\n       |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 8 - 9).\n       |- The departure day of Mykonos is Day 11. The arrival day of Valencia is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Budapest to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Budapest to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Munich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n     |- The departure day of Mykonos is Day 9. The arrival day of Valencia is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 8 - 9).\n     |- The departure day of Seville is Day 8. The arrival day of Valencia is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Florence, Munich, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Seville to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 13 - 14).\n       |- The departure day of Valencia is Day 9. The arrival day of Stockholm is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Munich, Seville, Valencia].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Budapest, Mykonos, Berlin] and explore these options in order.\n         |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Valencia to Budapest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Valencia to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 13 - 14).\n         |- The departure day of Berlin is Day 13. The arrival day of Stockholm is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Munich, Seville, Valencia, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Berlin to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 18 - 20).\n           |- The departure day of Stockholm is Day 14. The arrival day of Stuttgart is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Munich, Seville, Valencia, Berlin, Stockholm].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Budapest, Mykonos] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Stockholm to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 18 - 20).\n             |- The departure day of Split is Day 18. The arrival day of Stuttgart is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Florence, Munich, Seville, Valencia, Berlin, Stockholm, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Split to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Florence, Munich, Seville, Valencia, Berlin, Stockholm, Split, Stuttgart].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Budapest, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Budapest from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Stuttgart to Budapest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Florence, Munich, Seville, Valencia, Berlin, Stockholm, Split, Stuttgart, Budapest].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                   |- Check for direct flight from Budapest to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Florence, Munich, Seville, Valencia, Berlin, Stockholm, Split, Stuttgart, Budapest, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Florence and visit Florence for 2 days.\n**Day 2:** Fly from Florence to Munich.\n**Day 2-5:** Visit Munich for 4 days.\n**Day 5:** Fly from Munich to Seville.\n**Day 5-8:** Visit Seville for 4 days.\n**Day 8:** Fly from Seville to Valencia.\n**Day 8-9:** Visit Valencia for 2 days.\n**Day 9:** Fly from Valencia to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Stockholm.\n**Day 13-14:** Visit Stockholm for 2 days.\n**Day 14:** Fly from Stockholm to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Budapest.\n**Day 20-22:** Visit Budapest for 3 days.\n**Day 22:** Fly from Budapest to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Prague**Reykjavik**Stuttgart**Istanbul**Riga**Manchester**Geneva**Porto**Lyon",
    "ground_truth_durations": "4**2**3**3**5**2**2**5**5**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Florence",
        "Prague"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Porto",
        "Lyon"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Prague",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You want to spend 2 days in Riga. You would like to visit Porto for 5 days. You want to meet a friend in Porto between day 19 and day 23. You plan to stay in Geneva for 5 days. You would like to visit Prague for 2 days. You plan to stay in Stuttgart for 3 days. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 9 and day 13. You would like to visit Reykjavik for 3 days. You want to spend 4 days in Lyon. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nIstanbul and Riga, Manchester and Porto, Prague and Geneva, Florence and Prague, Stuttgart and Istanbul, Prague and Manchester, Riga and Manchester, Geneva and Porto, Porto and Lyon, Prague and Istanbul, Istanbul and Lyon, Stuttgart and Porto, Istanbul and Manchester, Istanbul and Porto, Istanbul and Geneva, Manchester and Geneva, Stuttgart and Manchester, Prague and Riga, Prague and Lyon, from Reykjavik to Stuttgart, Prague and Reykjavik.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Manchester. You want to spend 2 days in Riga. You would like to visit Porto for 5 days. You want to meet a friend in Porto between day 19 and day 23. You plan to stay in Geneva for 5 days. You would like to visit Prague for 2 days. You plan to stay in Stuttgart for 3 days. You plan to stay in Istanbul for 5 days. You are going to attend a wedding in Istanbul between day 9 and day 13. You would like to visit Reykjavik for 3 days. You want to spend 4 days in Lyon. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Riga, from Manchester to Porto, from Prague to Geneva, from Florence to Prague, from Stuttgart to Istanbul, from Prague to Manchester, from Riga to Manchester, from Geneva to Porto, from Porto to Lyon, from Prague to Istanbul, from Istanbul to Lyon, from Stuttgart to Porto, from Istanbul to Manchester, from Istanbul to Porto, from Istanbul to Geneva, from Manchester to Geneva, from Stuttgart to Manchester, from Prague to Riga, from Prague to Lyon, from Reykjavik to Stuttgart, from Prague to Reykjavik.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Stuttgart.\n**Day 7-9:** Visit Stuttgart for 3 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-13:** Visit Istanbul for 5 days.\n**Day 13:** Fly from Istanbul to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.\n**Day 15:** Fly from Manchester to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Porto.\n**Day 19-23:** Visit Porto for 5 days.\n**Day 23:** Fly from Porto to Lyon.\n**Day 23-26:** Visit Lyon for 4 days.",
    "id": "trip_planning_example_1482",
    "estimated_output_tokens": 16453,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Geneva, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Istanbul, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Reykjavik, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 9 - 13.\n* City: Porto, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Manchester, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Manchester is Day 2. The arrival day of Istanbul is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Manchester to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Manchester to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Geneva is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Manchester, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Manchester to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Manchester to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Manchester to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Riga from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Riga is Day 2. The arrival day of Istanbul is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Geneva, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Manchester is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Riga, Manchester].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Manchester to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 13).\n     |- The departure day of Geneva is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Riga, Manchester, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Manchester to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Manchester to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Manchester to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Manchester to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Riga to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Riga to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Riga to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Riga to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Geneva is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Prague, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Geneva to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Geneva to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Geneva to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Prague is Day 2. The arrival day of Istanbul is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Manchester is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Manchester].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Manchester to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Manchester to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 13).\n     |- The departure day of Geneva is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Prague, Manchester, Geneva].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Geneva to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Geneva to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Geneva to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Manchester to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Manchester to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Manchester to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Prague to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Riga is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Prague, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Geneva, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Riga to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 13).\n     |- The departure day of Manchester is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Prague, Riga, Manchester].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Manchester to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 13).\n       |- The departure day of Geneva is Day 8. The arrival day of Istanbul is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Prague, Riga, Manchester, Geneva].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n         |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Geneva to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Geneva to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Geneva to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Geneva to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Manchester to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n       |- Check for direct flight from Manchester to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Manchester to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Geneva is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Stuttgart, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Geneva to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Reykjavik is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Reykjavik].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Stuttgart, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Reykjavik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Reykjavik to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Reykjavik to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 13).\n     |- The departure day of Stuttgart is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Prague, Reykjavik, Stuttgart].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stuttgart to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 13).\n       |- The departure day of Manchester is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Prague, Reykjavik, Stuttgart, Manchester].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Lyon, Florence] and explore these options in order.\n         |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Manchester to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Manchester to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 13).\n         |- The departure day of Geneva is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Manchester to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Manchester to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stuttgart to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Stuttgart to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stuttgart to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stuttgart to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Reykjavik to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 9 - 13).\n   |- The departure day of Lyon is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Lyon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Stuttgart, Reykjavik, Florence] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lyon to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Lyon to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Lyon to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lyon to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Lyon to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lyon to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Stuttgart is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Reykjavik, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 13).\n   |- The departure day of Manchester is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Manchester].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Prague, Reykjavik, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Manchester to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Manchester to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 13).\n     |- The departure day of Geneva is Day 8. The arrival day of Istanbul is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Stuttgart, Manchester, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Prague, Reykjavik, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Geneva to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Geneva to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Manchester to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Manchester to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Manchester to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Manchester to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Stuttgart to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Reykjavik is Day 3. The arrival day of Istanbul is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Stuttgart, Lyon, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Stuttgart.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Istanbul (Day 9 - 13).\n   |- The departure day of Stuttgart is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Stuttgart].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Lyon, Florence] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 13).\n     |- The departure day of Manchester is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Reykjavik, Stuttgart, Manchester].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Prague, Lyon, Florence] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Manchester to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Manchester to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 13).\n       |- The departure day of Geneva is Day 10. The arrival day of Istanbul is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Manchester to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Stuttgart to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stuttgart to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stuttgart to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stuttgart to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Lyon is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Stuttgart, Reykjavik, Florence] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Lyon to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Lyon to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 9 - 13).\n |- The departure day of Florence is Day 4. The arrival day of Istanbul is Day 9. Day 4 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Prague, Stuttgart, Reykjavik, Lyon] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Florence to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Florence to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 9 - 13).\n   |- The departure day of Prague is Day 5. The arrival day of Istanbul is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Florence, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Stuttgart, Reykjavik, Lyon] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 13).\n     |- The departure day of Manchester is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Prague, Manchester].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Stuttgart, Reykjavik, Lyon] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Manchester to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Manchester to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 13).\n       |- The departure day of Geneva is Day 10. The arrival day of Istanbul is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Manchester to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Manchester to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 13).\n     |- The departure day of Riga is Day 6. The arrival day of Istanbul is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Prague, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Geneva, Stuttgart, Reykjavik, Lyon] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Riga to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Istanbul (Day 9 - 13).\n       |- The departure day of Manchester is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Florence, Prague, Riga, Manchester].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Stuttgart, Reykjavik, Lyon] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Manchester to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 13).\n         |- The departure day of Geneva is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Manchester to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Manchester to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Manchester to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Riga to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Riga to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Riga to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Riga to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 13).\n     |- The departure day of Geneva is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Florence, Prague, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Istanbul.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Stuttgart.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Prague to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 13).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Florence, Prague, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Stuttgart, Lyon] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Reykjavik to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Reykjavik to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 13).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Florence, Prague, Reykjavik, Stuttgart].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Stuttgart to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 19 - 23).\n         |- The departure day of Istanbul is Day 13. The arrival day of Porto is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Riga, Geneva, Lyon] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Istanbul to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 19 - 23).\n           |- The departure day of Manchester is Day 14. The arrival day of Porto is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Manchester].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Geneva, Lyon] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Manchester to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Manchester to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 19 - 23).\n             |- The departure day of Geneva is Day 18. The arrival day of Porto is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Manchester, Geneva].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Lyon] and explore these options in order.\n               |- Try arranging to visit Riga from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Geneva to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Geneva to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Manchester to Lyon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Istanbul to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 19 - 23).\n           |- The departure day of Riga is Day 14. The arrival day of Porto is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Geneva, Lyon] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Riga to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 19 - 23).\n             |- The departure day of Manchester is Day 15. The arrival day of Porto is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Riga, Manchester].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Lyon] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Manchester to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Porto (Day 19 - 23).\n               |- The departure day of Geneva is Day 19. The arrival day of Porto is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Riga, Manchester, Geneva].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Porto.\n                 |- Try arranging to visit Porto from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Geneva to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Riga, Manchester, Geneva, Porto].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                   |- Try arranging to visit Lyon from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Porto to Lyon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Florence, Prague, Reykjavik, Stuttgart, Istanbul, Riga, Manchester, Geneva, Porto, Lyon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Prague.\n**Day 4-5:** Visit Prague for 2 days.\n**Day 5:** Fly from Prague to Reykjavik.\n**Day 5-7:** Visit Reykjavik for 3 days.\n**Day 7:** Fly from Reykjavik to Stuttgart.\n**Day 7-9:** Visit Stuttgart for 3 days.\n**Day 9:** Fly from Stuttgart to Istanbul.\n**Day 9-13:** Visit Istanbul for 5 days.\n**Day 13:** Fly from Istanbul to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.\n**Day 15:** Fly from Manchester to Geneva.\n**Day 15-19:** Visit Geneva for 5 days.\n**Day 19:** Fly from Geneva to Porto.\n**Day 19-23:** Visit Porto for 5 days.\n**Day 23:** Fly from Porto to Lyon.\n**Day 23-26:** Visit Lyon for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Split**Hamburg**Stockholm**Reykjavik**Vienna**Stuttgart**Valencia**Berlin**Tallinn",
    "ground_truth_durations": "3**5**5**5**5**2**2**5**3**3",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Berlin"
      ],
      [
        "Hamburg",
        "Vienna"
      ],
      [
        "Stockholm",
        "Berlin"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Berlin"
      ],
      [
        "Lyon",
        "Vienna"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Vienna",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You would like to visit Reykjavik for 5 days. You plan to stay in Vienna for 2 days. You want to meet a friend in Vienna between day 19 and day 20. You want to spend 3 days in Lyon. You have to attend a workshop in Lyon between day 1 and day 3. You want to spend 2 days in Stuttgart. You plan to visit relatives in Stuttgart between day 20 and day 21. You want to spend 5 days in Stockholm. You want to spend 5 days in Valencia. You want to spend 3 days in Tallinn. You would like to visit Berlin for 3 days. You want to spend 5 days in Split.\n\nHere are the cities that have direct flights:\nSplit and Berlin, Hamburg and Vienna, Stockholm and Berlin, Berlin and Tallinn, Hamburg and Stuttgart, Split and Vienna, Lyon and Valencia, Split and Stockholm, Stockholm and Reykjavik, Stockholm and Stuttgart, Vienna and Valencia, Hamburg and Stockholm, Split and Hamburg, Stuttgart and Valencia, Reykjavik and Berlin, Lyon and Vienna, Lyon and Split, from Reykjavik to Stuttgart, Reykjavik and Vienna, Stockholm and Tallinn, Split and Stuttgart, Vienna and Berlin, Stockholm and Vienna, Stuttgart and Berlin, Valencia and Berlin, Vienna and Stuttgart.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Hamburg. You would like to visit Reykjavik for 5 days. You plan to stay in Vienna for 2 days. You want to meet a friend in Vienna between day 19 and day 20. You want to spend 3 days in Lyon. You have to attend a workshop in Lyon between day 1 and day 3. You want to spend 2 days in Stuttgart. You plan to visit relatives in Stuttgart between day 20 and day 21. You want to spend 5 days in Stockholm. You want to spend 5 days in Valencia. You want to spend 3 days in Tallinn. You would like to visit Berlin for 3 days. You want to spend 5 days in Split.\n\nHere are the cities that have direct flights:\nfrom Split to Berlin, from Hamburg to Vienna, from Stockholm to Berlin, from Berlin to Tallinn, from Hamburg to Stuttgart, from Split to Vienna, from Lyon to Valencia, from Split to Stockholm, from Stockholm to Reykjavik, from Stockholm to Stuttgart, from Vienna to Valencia, from Hamburg to Stockholm, from Split to Hamburg, from Stuttgart to Valencia, from Reykjavik to Berlin, from Lyon to Vienna, from Lyon to Split, from Reykjavik to Stuttgart, from Reykjavik to Vienna, from Stockholm to Tallinn, from Split to Stuttgart, from Vienna to Berlin, from Stockholm to Vienna, from Stuttgart to Berlin, from Valencia to Berlin, from Vienna to Stuttgart.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Split.\n**Day 3-7:** Visit Split for 5 days.\n**Day 7:** Fly from Split to Hamburg.\n**Day 7-11:** Visit Hamburg for 5 days.\n**Day 11:** Fly from Hamburg to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Reykjavik.\n**Day 15-19:** Visit Reykjavik for 5 days.\n**Day 19:** Fly from Reykjavik to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Stuttgart.\n**Day 20-21:** Visit Stuttgart for 2 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-25:** Visit Valencia for 5 days.\n**Day 25:** Fly from Valencia to Berlin.\n**Day 25-27:** Visit Berlin for 3 days.\n**Day 27:** Fly from Berlin to Tallinn.\n**Day 27-29:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1483",
    "estimated_output_tokens": 4093,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Hamburg, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Lyon, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Stockholm, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Split, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Fixed Schedule: Day 19 - 20.\n* City: Stuttgart, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Valencia, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Berlin, Duration: 3 days.\n* City: Split, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 19 - 20).\n |- The departure day of Lyon is Day 3. The arrival day of Vienna is Day 19. Day 3 is not later than (<=) Day 19. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Stockholm, Valencia, Tallinn, Berlin, Split] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 19 - 20).\n   |- The departure day of Valencia is Day 7. The arrival day of Vienna is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Valencia].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Stockholm, Tallinn, Berlin, Split] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Valencia to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Valencia to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 19 - 20).\n     |- The departure day of Berlin is Day 9. The arrival day of Vienna is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Valencia, Berlin].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Stockholm, Tallinn, Split] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Berlin to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vienna (Day 19 - 20).\n       |- The departure day of Tallinn is Day 11. The arrival day of Vienna is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lyon, Valencia, Berlin, Tallinn].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Stockholm, Split] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Tallinn to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Berlin to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Valencia to Split.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Lyon to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vienna (Day 19 - 20).\n   |- The departure day of Split is Day 7. The arrival day of Vienna is Day 19. Day 7 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Split].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Stockholm, Valencia, Tallinn, Berlin] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Split to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vienna (Day 19 - 20).\n     |- The departure day of Hamburg is Day 11. The arrival day of Vienna is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lyon, Split, Hamburg].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Stockholm, Valencia, Tallinn, Berlin] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Hamburg to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Hamburg to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vienna (Day 19 - 20).\n       |- The departure day of Stockholm is Day 15. The arrival day of Vienna is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Lyon, Split, Hamburg, Stockholm].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Tallinn, Berlin] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vienna (Day 19 - 20).\n         |- The departure day of Reykjavik is Day 19. The arrival day of Vienna is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- Yes. The city with an arrival day of Day 19 - is fixed: Vienna.\n           |- Try arranging to visit Vienna from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Reykjavik to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 20 - 21).\n           |- The departure day of Vienna is Day 20. The arrival day of Stuttgart is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik, Vienna].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Vienna to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik, Vienna, Stuttgart].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Berlin] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Stuttgart to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik, Vienna, Stuttgart, Valencia].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                 |- Check for direct flight from Valencia to Tallinn.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Berlin from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                 |- Check for direct flight from Valencia to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik, Vienna, Stuttgart, Valencia, Berlin].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                   |- Check for direct flight from Berlin to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Lyon, Split, Hamburg, Stockholm, Reykjavik, Vienna, Stuttgart, Valencia, Berlin, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Split.\n**Day 3-7:** Visit Split for 5 days.\n**Day 7:** Fly from Split to Hamburg.\n**Day 7-11:** Visit Hamburg for 5 days.\n**Day 11:** Fly from Hamburg to Stockholm.\n**Day 11-15:** Visit Stockholm for 5 days.\n**Day 15:** Fly from Stockholm to Reykjavik.\n**Day 15-19:** Visit Reykjavik for 5 days.\n**Day 19:** Fly from Reykjavik to Vienna.\n**Day 19-20:** Visit Vienna for 2 days.\n**Day 20:** Fly from Vienna to Stuttgart.\n**Day 20-21:** Visit Stuttgart for 2 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-25:** Visit Valencia for 5 days.\n**Day 25:** Fly from Valencia to Berlin.\n**Day 25-27:** Visit Berlin for 3 days.\n**Day 27:** Fly from Berlin to Tallinn.\n**Day 27-29:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Stockholm**Vienna**Madrid**Manchester**Split**Warsaw**Tallinn**Berlin**Salzburg",
    "ground_truth_durations": "4**2**4**2**3**4**3**5**2**5",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Split"
      ],
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Stockholm",
        "Berlin"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Vienna"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Manchester",
        "Berlin"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Madrid",
        "Berlin"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Manchester",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You would like to meet your friends at Madrid between day 8 and day 9 to tour together. You plan to stay in Warsaw for 3 days. You would like to visit Split for 4 days. You plan to stay in Tallinn for 5 days. You want to spend 5 days in Salzburg. You are going to attend a wedding in Salzburg between day 21 and day 25. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 1 and day 4. You want to spend 2 days in Berlin. You want to spend 2 days in Stockholm. You would like to visit Vienna for 4 days. From day 5 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Manchester for 3 days. During day 9 and day 11, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nStockholm and Split, Berlin and Salzburg, Stockholm and Tallinn, Vienna and Manchester, Stockholm and Warsaw, Dubrovnik and Madrid, Vienna and Split, Stockholm and Berlin, Warsaw and Tallinn, Dubrovnik and Vienna, Vienna and Berlin, Dubrovnik and Manchester, Vienna and Madrid, Madrid and Manchester, Split and Warsaw, Dubrovnik and Stockholm, Stockholm and Vienna, Warsaw and Berlin, Madrid and Split, Stockholm and Manchester, from Manchester to Split, Manchester and Berlin, Vienna and Warsaw, Stockholm and Madrid, Madrid and Berlin, Split and Berlin, Tallinn and Berlin, Madrid and Warsaw, Manchester and Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You would like to meet your friends at Madrid between day 8 and day 9 to tour together. You plan to stay in Warsaw for 3 days. You would like to visit Split for 4 days. You plan to stay in Tallinn for 5 days. You want to spend 5 days in Salzburg. You are going to attend a wedding in Salzburg between day 21 and day 25. You plan to stay in Dubrovnik for 4 days. You want to meet a friend in Dubrovnik between day 1 and day 4. You want to spend 2 days in Berlin. You want to spend 2 days in Stockholm. You would like to visit Vienna for 4 days. From day 5 to day 8, there is a annual show you want to attend in Vienna. You plan to stay in Manchester for 3 days. During day 9 and day 11, you have to attend a conference in Manchester.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Split, from Berlin to Salzburg, from Stockholm to Tallinn, from Vienna to Manchester, from Stockholm to Warsaw, from Dubrovnik to Madrid, from Vienna to Split, from Stockholm to Berlin, from Warsaw to Tallinn, from Dubrovnik to Vienna, from Vienna to Berlin, from Dubrovnik to Manchester, from Vienna to Madrid, from Madrid to Manchester, from Split to Warsaw, from Dubrovnik to Stockholm, from Stockholm to Vienna, from Warsaw to Berlin, from Madrid to Split, from Stockholm to Manchester, from Manchester to Split, from Manchester to Berlin, from Vienna to Warsaw, from Stockholm to Madrid, from Madrid to Berlin, from Split to Berlin, from Tallinn to Berlin, from Madrid to Warsaw, from Manchester to Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Manchester.\n**Day 9-11:** Visit Manchester for 3 days.\n**Day 11:** Fly from Manchester to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Berlin.\n**Day 20-21:** Visit Berlin for 2 days.\n**Day 21:** Fly from Berlin to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.",
    "id": "trip_planning_example_1484",
    "estimated_output_tokens": 3887,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Warsaw, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Vienna, Fixed Schedule: Day 5 - 8.\n* City: Madrid, Fixed Schedule: Day 8 - 9.\n* City: Manchester, Fixed Schedule: Day 9 - 11.\n* City: Salzburg, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Berlin, Duration: 2 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 8).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Vienna is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Tallinn, Berlin, Stockholm] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dubrovnik to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vienna (Day 5 - 8).\n   |- The departure day of Stockholm is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 8 - 9).\n     |- The departure day of Vienna is Day 8. The arrival day of Madrid is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Dubrovnik, Stockholm, Vienna].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vienna to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 9 - 11).\n       |- The departure day of Madrid is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Madrid to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Salzburg (Day 21 - 25).\n         |- The departure day of Manchester is Day 11. The arrival day of Salzburg is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Tallinn, Berlin] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Manchester to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 21 - 25).\n           |- The departure day of Warsaw is Day 13. The arrival day of Salzburg is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Warsaw].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Tallinn, Berlin] and explore these options in order.\n             |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Warsaw to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 21 - 25).\n             |- The departure day of Tallinn is Day 17. The arrival day of Salzburg is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Warsaw, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Berlin] and explore these options in order.\n               |- Try arranging to visit Split from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Tallinn to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Berlin from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Tallinn to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Salzburg (Day 21 - 25).\n               |- The departure day of Berlin is Day 18. The arrival day of Salzburg is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Warsaw, Tallinn, Berlin].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Berlin to Split.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Berlin from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Warsaw to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Salzburg (Day 21 - 25).\n             |- The departure day of Berlin is Day 14. The arrival day of Salzburg is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Warsaw, Berlin].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Tallinn] and explore these options in order.\n               |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Berlin to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Berlin to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Manchester to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Salzburg (Day 21 - 25).\n           |- The departure day of Split is Day 14. The arrival day of Salzburg is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Split].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Berlin] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Split to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Salzburg (Day 21 - 25).\n             |- The departure day of Warsaw is Day 16. The arrival day of Salzburg is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Split, Warsaw].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Berlin] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Warsaw to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Salzburg (Day 21 - 25).\n               |- The departure day of Tallinn is Day 20. The arrival day of Salzburg is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Split, Warsaw, Tallinn].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n                 |- Try arranging to visit Berlin from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Tallinn to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Salzburg (Day 21 - 25).\n                 |- The departure day of Berlin is Day 21. The arrival day of Salzburg is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Split, Warsaw, Tallinn, Berlin].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Salzburg.\n                   |- Try arranging to visit Salzburg from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                   |- Check for direct flight from Berlin to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Dubrovnik, Stockholm, Vienna, Madrid, Manchester, Split, Warsaw, Tallinn, Berlin, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Stockholm.\n**Day 4-5:** Visit Stockholm for 2 days.\n**Day 5:** Fly from Stockholm to Vienna.\n**Day 5-8:** Visit Vienna for 4 days.\n**Day 8:** Fly from Vienna to Madrid.\n**Day 8-9:** Visit Madrid for 2 days.\n**Day 9:** Fly from Madrid to Manchester.\n**Day 9-11:** Visit Manchester for 3 days.\n**Day 11:** Fly from Manchester to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Warsaw.\n**Day 14-16:** Visit Warsaw for 3 days.\n**Day 16:** Fly from Warsaw to Tallinn.\n**Day 16-20:** Visit Tallinn for 5 days.\n**Day 20:** Fly from Tallinn to Berlin.\n**Day 20-21:** Visit Berlin for 2 days.\n**Day 21:** Fly from Berlin to Salzburg.\n**Day 21-25:** Visit Salzburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Berlin**Rome**Reykjavik**Warsaw**Manchester**Geneva**Mykonos**Zurich**Florence",
    "ground_truth_durations": "4**4**5**5**4**2**5**5**4**4",
    "num_cities": 10,
    "total_days": 33,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 30,
        "end_day": 33
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Mykonos",
        "Zurich"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Zurich"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Warsaw",
        "Zurich"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Rome"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Rome",
        "Manchester"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You would like to visit Geneva for 5 days. You would like to visit Mykonos for 5 days. You want to meet a friend in Mykonos between day 23 and day 27. You would like to visit Reykjavik for 5 days. During day 11 and day 15, you have to attend a conference in Reykjavik. You want to spend 4 days in Zurich. You would like to visit Rome for 5 days. You have to attend a workshop in Rome between day 7 and day 11. You want to spend 4 days in Warsaw. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 30 and day 33. You plan to stay in Edinburgh for 4 days. You are going to attend a wedding in Edinburgh between day 1 and day 4. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nMykonos and Zurich, Rome and Mykonos, Manchester and Zurich, Berlin and Warsaw, Berlin and Zurich, Berlin and Manchester, Manchester and Geneva, Edinburgh and Geneva, Edinburgh and Zurich, Edinburgh and Berlin, from Zurich to Florence, Geneva and Mykonos, Warsaw and Zurich, Rome and Warsaw, Geneva and Zurich, Reykjavik and Warsaw, Warsaw and Geneva, Edinburgh and Rome, Warsaw and Manchester, Berlin and Reykjavik, Rome and Zurich, Rome and Reykjavik, Rome and Geneva, Berlin and Geneva, Reykjavik and Zurich, Berlin and Rome, Rome and Manchester.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 33 days in total. You only take direct flights to commute between cities. You plan to stay in Berlin for 4 days. You would like to visit Geneva for 5 days. You would like to visit Mykonos for 5 days. You want to meet a friend in Mykonos between day 23 and day 27. You would like to visit Reykjavik for 5 days. During day 11 and day 15, you have to attend a conference in Reykjavik. You want to spend 4 days in Zurich. You would like to visit Rome for 5 days. You have to attend a workshop in Rome between day 7 and day 11. You want to spend 4 days in Warsaw. You would like to visit Florence for 4 days. You plan to visit relatives in Florence between day 30 and day 33. You plan to stay in Edinburgh for 4 days. You are going to attend a wedding in Edinburgh between day 1 and day 4. You want to spend 2 days in Manchester.\n\nHere are the cities that have direct flights:\nfrom Mykonos to Zurich, from Rome to Mykonos, from Manchester to Zurich, from Berlin to Warsaw, from Berlin to Zurich, from Berlin to Manchester, from Manchester to Geneva, from Edinburgh to Geneva, from Edinburgh to Zurich, from Edinburgh to Berlin, from Zurich to Florence, from Geneva to Mykonos, from Warsaw to Zurich, from Rome to Warsaw, from Geneva to Zurich, from Reykjavik to Warsaw, from Warsaw to Geneva, from Edinburgh to Rome, from Warsaw to Manchester, from Berlin to Reykjavik, from Rome to Zurich, from Rome to Reykjavik, from Rome to Geneva, from Berlin to Geneva, from Reykjavik to Zurich, from Berlin to Rome, from Rome to Manchester.\n\nFind a trip plan of visiting the cities for 33 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 33 days:\n\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n**Day 18:** Fly from Warsaw to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Geneva.\n**Day 19-23:** Visit Geneva for 5 days.\n**Day 23:** Fly from Geneva to Mykonos.\n**Day 23-27:** Visit Mykonos for 5 days.\n**Day 27:** Fly from Mykonos to Zurich.\n**Day 27-30:** Visit Zurich for 4 days.\n**Day 30:** Fly from Zurich to Florence.\n**Day 30-33:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1485",
    "estimated_output_tokens": 3722,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days.\n* City: Geneva, Duration: 5 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Zurich, Duration: 4 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Warsaw, Duration: 4 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 30 - 33.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Manchester, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 4.\n* City: Rome, Fixed Schedule: Day 7 - 11.\n* City: Reykjavik, Fixed Schedule: Day 11 - 15.\n* City: Mykonos, Fixed Schedule: Day 23 - 27.\n* City: Florence, Fixed Schedule: Day 30 - 33.\n\nCities needing arrangement:\n* City: Berlin, Duration: 4 days.\n* City: Geneva, Duration: 5 days.\n* City: Zurich, Duration: 4 days.\n* City: Warsaw, Duration: 4 days.\n* City: Manchester, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 7 - 11).\n |- The departure day of Edinburgh is Day 4. The arrival day of Rome is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Geneva, Zurich, Warsaw, Manchester] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Edinburgh to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 7 - 11).\n   |- The departure day of Berlin is Day 7. The arrival day of Rome is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Edinburgh, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Rome.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Rome.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 11 - 15).\n     |- The departure day of Rome is Day 11. The arrival day of Reykjavik is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Edinburgh, Berlin, Rome].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Rome to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 23 - 27).\n       |- The departure day of Reykjavik is Day 15. The arrival day of Mykonos is Day 23. Day 15 is not later than (<=) Day 23. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Edinburgh, Berlin, Rome, Reykjavik].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Zurich, Warsaw, Manchester] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Reykjavik to Geneva.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Reykjavik to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 23 - 27).\n         |- The departure day of Zurich is Day 18. The arrival day of Mykonos is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Zurich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Warsaw, Manchester] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Zurich to Geneva.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Zurich to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Manchester from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Zurich to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Reykjavik to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 23 - 27).\n         |- The departure day of Warsaw is Day 18. The arrival day of Mykonos is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Zurich, Manchester] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Warsaw to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 23 - 27).\n           |- The departure day of Geneva is Day 22. The arrival day of Mykonos is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Geneva].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Zurich, Manchester] and explore these options in order.\n             |- Try arranging to visit Zurich from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Geneva to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Mykonos (Day 23 - 27).\n             |- The departure day of Zurich is Day 25. The arrival day of Mykonos is Day 23. Day 25 is later than (>) Day 23. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Manchester from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n             |- Check for direct flight from Geneva to Manchester.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Zurich from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Warsaw to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 23 - 27).\n           |- The departure day of Zurich is Day 21. The arrival day of Mykonos is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Zurich].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Manchester] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Zurich to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n             |- Check for direct flight from Zurich to Manchester.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Manchester from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Warsaw to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 23 - 27).\n           |- The departure day of Manchester is Day 19. The arrival day of Mykonos is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Manchester].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Zurich] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Manchester to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Mykonos (Day 23 - 27).\n             |- The departure day of Geneva is Day 23. The arrival day of Mykonos is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Manchester, Geneva].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- Yes. The city with an arrival day of Day 23 - is fixed: Mykonos.\n               |- Try arranging to visit Mykonos from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Geneva to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Florence (Day 30 - 33).\n               |- The departure day of Mykonos is Day 27. The arrival day of Florence is Day 30. Day 27 is not later than (<=) Day 30. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Manchester, Geneva, Mykonos].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 27. Duration: 4 days. Schedule: Day 27 - 30.\n                 |- Check for direct flight from Mykonos to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: Florence (Day 30 - 33).\n                 |- The departure day of Zurich is Day 30. The arrival day of Florence is Day 30. Day 30 is not later than (<=) Day 30. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 30. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Manchester, Geneva, Mykonos, Zurich].\n                  |- Check whether the city with an arrival day of Day 30 - is fixed.\n                  |- Yes. The city with an arrival day of Day 30 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 30. Duration: 4 days. Schedule: Day 30 - 33.\n                   |- Check for direct flight from Zurich to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 30: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 33. Current plan: [Edinburgh, Berlin, Rome, Reykjavik, Warsaw, Manchester, Geneva, Mykonos, Zurich, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Edinburgh and visit Edinburgh for 4 days.\n**Day 4:** Fly from Edinburgh to Berlin.\n**Day 4-7:** Visit Berlin for 4 days.\n**Day 7:** Fly from Berlin to Rome.\n**Day 7-11:** Visit Rome for 5 days.\n**Day 11:** Fly from Rome to Reykjavik.\n**Day 11-15:** Visit Reykjavik for 5 days.\n**Day 15:** Fly from Reykjavik to Warsaw.\n**Day 15-18:** Visit Warsaw for 4 days.\n**Day 18:** Fly from Warsaw to Manchester.\n**Day 18-19:** Visit Manchester for 2 days.\n**Day 19:** Fly from Manchester to Geneva.\n**Day 19-23:** Visit Geneva for 5 days.\n**Day 23:** Fly from Geneva to Mykonos.\n**Day 23-27:** Visit Mykonos for 5 days.\n**Day 27:** Fly from Mykonos to Zurich.\n**Day 27-30:** Visit Zurich for 4 days.\n**Day 30:** Fly from Zurich to Florence.\n**Day 30-33:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Seville**Manchester**Stockholm**Krakow**Vilnius**Zurich**Nice**Madrid**Bucharest",
    "ground_truth_durations": "3**2**3**5**2**4**4**4**2**2",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Stockholm",
        "Nice"
      ],
      [
        "Manchester",
        "Nice"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Nice",
        "Madrid"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Seville",
        "Madrid"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Manchester",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Nice. You want to spend 4 days in Zurich. You would like to visit Madrid for 2 days. You want to spend 3 days in Valencia. You would like to visit Krakow for 2 days. You are going to attend a wedding in Krakow between day 10 and day 11. You want to spend 5 days in Stockholm. You would like to visit Seville for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 21 and day 22. You want to spend 3 days in Manchester. From day 4 to day 6, there is a annual show you want to attend in Manchester. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, Stockholm and Nice, Manchester and Nice, Valencia and Bucharest, Valencia and Krakow, Zurich and Bucharest, Valencia and Zurich, Zurich and Nice, Manchester and Zurich, Stockholm and Krakow, Seville and Manchester, Stockholm and Madrid, Krakow and Zurich, Zurich and Madrid, Vilnius and Zurich, Stockholm and Zurich, Madrid and Bucharest, Valencia and Seville, Manchester and Bucharest, Nice and Madrid, Manchester and Krakow, Seville and Madrid, Valencia and Madrid, Manchester and Stockholm, Manchester and Madrid.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Nice. You want to spend 4 days in Zurich. You would like to visit Madrid for 2 days. You want to spend 3 days in Valencia. You would like to visit Krakow for 2 days. You are going to attend a wedding in Krakow between day 10 and day 11. You want to spend 5 days in Stockholm. You would like to visit Seville for 2 days. You want to spend 2 days in Bucharest. You want to meet a friend in Bucharest between day 21 and day 22. You want to spend 3 days in Manchester. From day 4 to day 6, there is a annual show you want to attend in Manchester. You plan to stay in Vilnius for 4 days.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, from Stockholm to Nice, from Manchester to Nice, from Valencia to Bucharest, from Valencia to Krakow, from Zurich to Bucharest, from Valencia to Zurich, from Zurich to Nice, from Manchester to Zurich, from Stockholm to Krakow, from Seville to Manchester, from Stockholm to Madrid, from Krakow to Zurich, from Zurich to Madrid, from Vilnius to Zurich, from Stockholm to Zurich, from Madrid to Bucharest, from Valencia to Seville, from Manchester to Bucharest, from Nice to Madrid, from Manchester to Krakow, from Seville to Madrid, from Valencia to Madrid, from Manchester to Stockholm, from Manchester to Madrid.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Seville.\n**Day 3-4:** Visit Seville for 2 days.\n**Day 4:** Fly from Seville to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-11:** Visit Krakow for 2 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Zurich.\n**Day 14-17:** Visit Zurich for 4 days.\n**Day 17:** Fly from Zurich to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Bucharest.\n**Day 21-22:** Visit Bucharest for 2 days.",
    "id": "trip_planning_example_1486",
    "estimated_output_tokens": 7037,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n* City: Madrid, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Stockholm, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Vilnius, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 4 - 6.\n* City: Krakow, Fixed Schedule: Day 10 - 11.\n* City: Bucharest, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Nice, Duration: 4 days.\n* City: Zurich, Duration: 4 days.\n* City: Madrid, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Nice, Zurich, Madrid, Valencia, Stockholm, Seville, Vilnius] and explore these options in order.\n |- Try arranging to visit Nice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Nice is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Nice to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Zurich is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Manchester.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Madrid is Day 2. The arrival day of Manchester is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Valencia, Stockholm, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Madrid to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Madrid to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Madrid to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 4 - 6).\n |- The departure day of Valencia is Day 3. The arrival day of Manchester is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Madrid, Stockholm, Seville, Vilnius] and explore these options in order.\n   |- Try arranging to visit Nice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Valencia to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 4 - 6).\n   |- The departure day of Zurich is Day 6. The arrival day of Manchester is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 4 - 6).\n   |- The departure day of Madrid is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Madrid to Manchester.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Valencia to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Valencia to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 4 - 6).\n   |- The departure day of Seville is Day 4. The arrival day of Manchester is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Seville].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Manchester.\n     |- Try arranging to visit Manchester from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Seville to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Krakow (Day 10 - 11).\n     |- The departure day of Manchester is Day 6. The arrival day of Krakow is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Seville, Manchester].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Madrid, Stockholm, Vilnius] and explore these options in order.\n       |- Try arranging to visit Nice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 10 - 11).\n       |- The departure day of Nice is Day 9. The arrival day of Krakow is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Valencia, Seville, Manchester, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Madrid, Stockholm, Vilnius] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Nice to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Nice to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 10 - 11).\n         |- The departure day of Madrid is Day 10. The arrival day of Krakow is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Valencia, Seville, Manchester, Nice, Madrid].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Madrid to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Nice to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Manchester to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 10 - 11).\n       |- The departure day of Zurich is Day 9. The arrival day of Krakow is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Valencia, Seville, Manchester, Zurich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Madrid, Stockholm, Vilnius] and explore these options in order.\n         |- Try arranging to visit Nice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 10 - 11).\n         |- The departure day of Nice is Day 12. The arrival day of Krakow is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Madrid from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Zurich to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 10 - 11).\n         |- The departure day of Madrid is Day 10. The arrival day of Krakow is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Valencia, Seville, Manchester, Zurich, Madrid].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Madrid to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Zurich to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Madrid from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Manchester to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 10 - 11).\n       |- The departure day of Madrid is Day 7. The arrival day of Krakow is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Valencia, Seville, Manchester, Madrid].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Stockholm, Vilnius] and explore these options in order.\n         |- Try arranging to visit Nice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Madrid to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Madrid to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Madrid to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Madrid to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Manchester to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 10 - 11).\n       |- The departure day of Stockholm is Day 10. The arrival day of Krakow is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Valencia, Seville, Manchester, Stockholm].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Stockholm to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 21 - 22).\n         |- The departure day of Krakow is Day 11. The arrival day of Bucharest is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Madrid, Vilnius] and explore these options in order.\n           |- Try arranging to visit Nice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Krakow to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Krakow to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 21 - 22).\n           |- The departure day of Zurich is Day 14. The arrival day of Bucharest is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Zurich].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Madrid, Vilnius] and explore these options in order.\n             |- Try arranging to visit Nice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Zurich to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 21 - 22).\n             |- The departure day of Nice is Day 17. The arrival day of Bucharest is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Zurich, Nice].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Madrid, Vilnius] and explore these options in order.\n               |- Try arranging to visit Madrid from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Nice to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 21 - 22).\n               |- The departure day of Madrid is Day 18. The arrival day of Bucharest is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Zurich, Nice, Madrid].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Madrid to Vilnius.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Nice to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Madrid from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Zurich to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 21 - 22).\n             |- The departure day of Madrid is Day 15. The arrival day of Bucharest is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Zurich, Madrid].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius] and explore these options in order.\n               |- Try arranging to visit Nice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Madrid to Nice.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Madrid to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Zurich to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Madrid from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Krakow to Madrid.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Krakow to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 21 - 22).\n           |- The departure day of Vilnius is Day 14. The arrival day of Bucharest is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Madrid] and explore these options in order.\n             |- Try arranging to visit Nice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vilnius to Nice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Zurich from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vilnius to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Bucharest (Day 21 - 22).\n             |- The departure day of Zurich is Day 17. The arrival day of Bucharest is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Vilnius, Zurich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice, Madrid] and explore these options in order.\n               |- Try arranging to visit Nice from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Zurich to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 21 - 22).\n               |- The departure day of Nice is Day 20. The arrival day of Bucharest is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Vilnius, Zurich, Nice].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n                 |- Try arranging to visit Madrid from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Nice to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Bucharest (Day 21 - 22).\n                 |- The departure day of Madrid is Day 21. The arrival day of Bucharest is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Vilnius, Zurich, Nice, Madrid].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Bucharest.\n                   |- Try arranging to visit Bucharest from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                   |- Check for direct flight from Madrid to Bucharest.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Valencia, Seville, Manchester, Stockholm, Krakow, Vilnius, Zurich, Nice, Madrid, Bucharest].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Valencia and visit Valencia for 3 days.\n**Day 3:** Fly from Valencia to Seville.\n**Day 3-4:** Visit Seville for 2 days.\n**Day 4:** Fly from Seville to Manchester.\n**Day 4-6:** Visit Manchester for 3 days.\n**Day 6:** Fly from Manchester to Stockholm.\n**Day 6-10:** Visit Stockholm for 5 days.\n**Day 10:** Fly from Stockholm to Krakow.\n**Day 10-11:** Visit Krakow for 2 days.\n**Day 11:** Fly from Krakow to Vilnius.\n**Day 11-14:** Visit Vilnius for 4 days.\n**Day 14:** Fly from Vilnius to Zurich.\n**Day 14-17:** Visit Zurich for 4 days.\n**Day 17:** Fly from Zurich to Nice.\n**Day 17-20:** Visit Nice for 4 days.\n**Day 20:** Fly from Nice to Madrid.\n**Day 20-21:** Visit Madrid for 2 days.\n**Day 21:** Fly from Madrid to Bucharest.\n**Day 21-22:** Visit Bucharest for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Brussels**Naples**Athens**Copenhagen**Santorini**Geneva**Dubrovnik**Munich**Mykonos",
    "ground_truth_durations": "2**4**4**4**5**5**3**3**5**2",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 27,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Copenhagen"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Naples",
        "Copenhagen"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Brussels",
        "Munich"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 11 and day 15. You plan to stay in Geneva for 3 days. You plan to stay in Mykonos for 2 days. During day 27 and day 28, you have to attend a conference in Mykonos. You would like to visit Naples for 4 days. You plan to visit relatives in Naples between day 5 and day 8. You plan to stay in Prague for 2 days. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 8 and day 11. You plan to stay in Santorini for 5 days. You would like to visit Brussels for 4 days. You would like to visit Munich for 5 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Dubrovnik, Brussels and Copenhagen, Prague and Geneva, Athens and Geneva, Naples and Dubrovnik, Athens and Dubrovnik, Geneva and Mykonos, Naples and Mykonos, Naples and Copenhagen, Munich and Mykonos, Naples and Athens, Prague and Athens, Santorini and Geneva, Athens and Santorini, Naples and Munich, Prague and Copenhagen, Brussels and Naples, Athens and Mykonos, Athens and Copenhagen, Naples and Geneva, Dubrovnik and Munich, Brussels and Munich, Prague and Brussels, Brussels and Athens, Athens and Munich, Geneva and Munich, Copenhagen and Munich, Brussels and Geneva, Copenhagen and Geneva, Prague and Munich, Copenhagen and Santorini, Naples and Santorini, Geneva and Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 5 days. You want to meet a friend in Copenhagen between day 11 and day 15. You plan to stay in Geneva for 3 days. You plan to stay in Mykonos for 2 days. During day 27 and day 28, you have to attend a conference in Mykonos. You would like to visit Naples for 4 days. You plan to visit relatives in Naples between day 5 and day 8. You plan to stay in Prague for 2 days. You want to spend 3 days in Dubrovnik. You want to spend 4 days in Athens. You have to attend a workshop in Athens between day 8 and day 11. You plan to stay in Santorini for 5 days. You would like to visit Brussels for 4 days. You would like to visit Munich for 5 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Dubrovnik, from Brussels to Copenhagen, from Prague to Geneva, from Athens to Geneva, from Naples to Dubrovnik, from Athens to Dubrovnik, from Geneva to Mykonos, from Naples to Mykonos, from Naples to Copenhagen, from Munich to Mykonos, from Naples to Athens, from Prague to Athens, from Santorini to Geneva, from Athens to Santorini, from Naples to Munich, from Prague to Copenhagen, from Brussels to Naples, from Athens to Mykonos, from Athens to Copenhagen, from Naples to Geneva, from Dubrovnik to Munich, from Brussels to Munich, from Prague to Brussels, from Brussels to Athens, from Athens to Munich, from Geneva to Munich, from Copenhagen to Munich, from Brussels to Geneva, from Copenhagen to Geneva, from Prague to Munich, from Copenhagen to Santorini, from Naples to Santorini, from Geneva to Dubrovnik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Brussels.\n**Day 2-5:** Visit Brussels for 4 days.\n**Day 5:** Fly from Brussels to Naples.\n**Day 5-8:** Visit Naples for 4 days.\n**Day 8:** Fly from Naples to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Geneva.\n**Day 19-21:** Visit Geneva for 3 days.\n**Day 21:** Fly from Geneva to Dubrovnik.\n**Day 21-23:** Visit Dubrovnik for 3 days.\n**Day 23:** Fly from Dubrovnik to Munich.\n**Day 23-27:** Visit Munich for 5 days.\n**Day 27:** Fly from Munich to Mykonos.\n**Day 27-28:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1487",
    "estimated_output_tokens": 5794,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Geneva, Duration: 3 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 27 - 28.\n* City: Naples, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Prague, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Santorini, Duration: 5 days.\n* City: Brussels, Duration: 4 days.\n* City: Munich, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 5 - 8.\n* City: Athens, Fixed Schedule: Day 8 - 11.\n* City: Copenhagen, Fixed Schedule: Day 11 - 15.\n* City: Mykonos, Fixed Schedule: Day 27 - 28.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Prague, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Brussels, Duration: 4 days.\n* City: Munich, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Prague, Dubrovnik, Santorini, Brussels, Munich] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 8).\n |- The departure day of Geneva is Day 3. The arrival day of Naples is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Dubrovnik, Santorini, Brussels, Munich] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Geneva to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Geneva to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 8).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dubrovnik to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Geneva to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Geneva to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 8).\n   |- The departure day of Munich is Day 7. The arrival day of Naples is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 8).\n |- The departure day of Prague is Day 2. The arrival day of Naples is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Santorini, Brussels, Munich] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 5 - 8).\n   |- The departure day of Geneva is Day 4. The arrival day of Naples is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Brussels, Munich] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Geneva to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 5 - 8).\n     |- The departure day of Dubrovnik is Day 6. The arrival day of Naples is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Geneva to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 5 - 8).\n     |- The departure day of Munich is Day 8. The arrival day of Naples is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Prague to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 5 - 8).\n   |- The departure day of Brussels is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, Brussels].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n     |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Brussels to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Athens (Day 8 - 11).\n     |- The departure day of Naples is Day 8. The arrival day of Athens is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Prague, Brussels, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Athens.\n       |- Try arranging to visit Athens from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Naples to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 11 - 15).\n       |- The departure day of Athens is Day 11. The arrival day of Copenhagen is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, Brussels, Naples, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Copenhagen.\n         |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Athens to Copenhagen.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Mykonos (Day 27 - 28).\n         |- The departure day of Copenhagen is Day 15. The arrival day of Mykonos is Day 27. Day 15 is not later than (<=) Day 27. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Santorini, Munich] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Copenhagen to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 27 - 28).\n           |- The departure day of Geneva is Day 17. The arrival day of Mykonos is Day 27. Day 17 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Geneva].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini, Munich] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Geneva to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Mykonos (Day 27 - 28).\n             |- The departure day of Dubrovnik is Day 19. The arrival day of Mykonos is Day 27. Day 19 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Geneva, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Munich] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Dubrovnik to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Munich from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Dubrovnik to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Mykonos (Day 27 - 28).\n               |- The departure day of Munich is Day 23. The arrival day of Mykonos is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Geneva, Dubrovnik, Munich].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Munich to Santorini.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Geneva to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Geneva to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Mykonos (Day 27 - 28).\n             |- The departure day of Munich is Day 21. The arrival day of Mykonos is Day 27. Day 21 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Geneva, Munich].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Santorini] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Munich to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Munich to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Copenhagen to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 27 - 28).\n           |- The departure day of Dubrovnik is Day 17. The arrival day of Mykonos is Day 27. Day 17 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Munich] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Dubrovnik to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Dubrovnik to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Dubrovnik to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Mykonos (Day 27 - 28).\n             |- The departure day of Munich is Day 21. The arrival day of Mykonos is Day 27. Day 21 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Dubrovnik, Munich].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Munich to Geneva.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Munich to Santorini.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Copenhagen to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 27 - 28).\n           |- The departure day of Santorini is Day 19. The arrival day of Mykonos is Day 27. Day 19 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Santorini].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Dubrovnik, Munich] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Santorini to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Mykonos (Day 27 - 28).\n             |- The departure day of Geneva is Day 21. The arrival day of Mykonos is Day 27. Day 21 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Santorini, Geneva].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Munich] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Geneva to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Mykonos (Day 27 - 28).\n               |- The departure day of Dubrovnik is Day 23. The arrival day of Mykonos is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Santorini, Geneva, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n                 |- Try arranging to visit Munich from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Dubrovnik to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Mykonos (Day 27 - 28).\n                 |- The departure day of Munich is Day 27. The arrival day of Mykonos is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Santorini, Geneva, Dubrovnik, Munich].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Mykonos.\n                   |- Try arranging to visit Mykonos from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                   |- Check for direct flight from Munich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Prague, Brussels, Naples, Athens, Copenhagen, Santorini, Geneva, Dubrovnik, Munich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Prague and visit Prague for 2 days.\n**Day 2:** Fly from Prague to Brussels.\n**Day 2-5:** Visit Brussels for 4 days.\n**Day 5:** Fly from Brussels to Naples.\n**Day 5-8:** Visit Naples for 4 days.\n**Day 8:** Fly from Naples to Athens.\n**Day 8-11:** Visit Athens for 4 days.\n**Day 11:** Fly from Athens to Copenhagen.\n**Day 11-15:** Visit Copenhagen for 5 days.\n**Day 15:** Fly from Copenhagen to Santorini.\n**Day 15-19:** Visit Santorini for 5 days.\n**Day 19:** Fly from Santorini to Geneva.\n**Day 19-21:** Visit Geneva for 3 days.\n**Day 21:** Fly from Geneva to Dubrovnik.\n**Day 21-23:** Visit Dubrovnik for 3 days.\n**Day 23:** Fly from Dubrovnik to Munich.\n**Day 23-27:** Visit Munich for 5 days.\n**Day 27:** Fly from Munich to Mykonos.\n**Day 27-28:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Seville**Paris**Riga**Milan**Stockholm**Dubrovnik**Frankfurt**Vilnius**Split",
    "ground_truth_durations": "2**3**5**5**4**5**4**4**4**3",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 19,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Munich",
        "Paris"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Milan",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to stay in Milan for 4 days. You are going to attend a wedding in Milan between day 12 and day 15. You want to spend 5 days in Riga. You would like to visit Split for 3 days. You would like to visit Seville for 3 days. You would like to meet your friends at Seville between day 2 and day 4 to tour together. You would like to visit Paris for 5 days. You want to spend 4 days in Vilnius. You want to meet a friend in Vilnius between day 25 and day 28. You would like to visit Stockholm for 5 days. You want to spend 4 days in Frankfurt. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 19 and day 22.\n\nHere are the cities that have direct flights:\nFrankfurt and Split, Paris and Frankfurt, from Riga to Vilnius, Seville and Milan, Milan and Vilnius, Paris and Vilnius, Dubrovnik and Frankfurt, Stockholm and Split, Stockholm and Dubrovnik, Seville and Paris, Frankfurt and Vilnius, Munich and Dubrovnik, Munich and Milan, Munich and Frankfurt, Riga and Frankfurt, Munich and Split, from Riga to Munich, Munich and Stockholm, from Vilnius to Munich, Vilnius and Split, Paris and Milan, Paris and Split, Riga and Stockholm, Paris and Riga, Munich and Seville, Milan and Frankfurt, Munich and Paris, Paris and Stockholm, Stockholm and Frankfurt, Riga and Milan, Milan and Stockholm, Milan and Split.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 2 days. You plan to stay in Milan for 4 days. You are going to attend a wedding in Milan between day 12 and day 15. You want to spend 5 days in Riga. You would like to visit Split for 3 days. You would like to visit Seville for 3 days. You would like to meet your friends at Seville between day 2 and day 4 to tour together. You would like to visit Paris for 5 days. You want to spend 4 days in Vilnius. You want to meet a friend in Vilnius between day 25 and day 28. You would like to visit Stockholm for 5 days. You want to spend 4 days in Frankfurt. You would like to visit Dubrovnik for 4 days. You plan to visit relatives in Dubrovnik between day 19 and day 22.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Split, from Paris to Frankfurt, from Riga to Vilnius, from Seville to Milan, from Milan to Vilnius, from Paris to Vilnius, from Dubrovnik to Frankfurt, from Stockholm to Split, from Stockholm to Dubrovnik, from Seville to Paris, from Frankfurt to Vilnius, from Munich to Dubrovnik, from Munich to Milan, from Munich to Frankfurt, from Riga to Frankfurt, from Munich to Split, from Riga to Munich, from Munich to Stockholm, from Vilnius to Munich, from Vilnius to Split, from Paris to Milan, from Paris to Split, from Riga to Stockholm, from Paris to Riga, from Munich to Seville, from Milan to Frankfurt, from Munich to Paris, from Paris to Stockholm, from Stockholm to Frankfurt, from Riga to Milan, from Milan to Stockholm, from Milan to Split.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Seville.\n**Day 2-4:** Visit Seville for 3 days.\n**Day 4:** Fly from Seville to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Riga.\n**Day 8-12:** Visit Riga for 5 days.\n**Day 12:** Fly from Riga to Milan.\n**Day 12-15:** Visit Milan for 4 days.\n**Day 15:** Fly from Milan to Stockholm.\n**Day 15-19:** Visit Stockholm for 5 days.\n**Day 19:** Fly from Stockholm to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Frankfurt.\n**Day 22-25:** Visit Frankfurt for 4 days.\n**Day 25:** Fly from Frankfurt to Vilnius.\n**Day 25-28:** Visit Vilnius for 4 days.\n**Day 28:** Fly from Vilnius to Split.\n**Day 28-30:** Visit Split for 3 days.",
    "id": "trip_planning_example_1488",
    "estimated_output_tokens": 3043,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Riga, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Paris, Duration: 5 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Stockholm, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Seville, Fixed Schedule: Day 2 - 4.\n* City: Milan, Fixed Schedule: Day 12 - 15.\n* City: Dubrovnik, Fixed Schedule: Day 19 - 22.\n* City: Vilnius, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: Riga, Duration: 5 days.\n* City: Split, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Riga, Split, Paris, Stockholm, Frankfurt] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Seville (Day 2 - 4).\n |- The departure day of Munich is Day 2. The arrival day of Seville is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Seville.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Munich to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 12 - 15).\n   |- The departure day of Seville is Day 4. The arrival day of Milan is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Munich, Seville].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Split, Paris, Stockholm, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Seville to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Seville to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Seville to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 12 - 15).\n     |- The departure day of Paris is Day 8. The arrival day of Milan is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Seville, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Split, Stockholm, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Paris to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Milan (Day 12 - 15).\n       |- The departure day of Riga is Day 12. The arrival day of Milan is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Munich, Seville, Paris, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Milan.\n         |- Try arranging to visit Milan from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Riga to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 19 - 22).\n         |- The departure day of Milan is Day 15. The arrival day of Dubrovnik is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Munich, Seville, Paris, Riga, Milan].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Stockholm, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Milan to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 19 - 22).\n           |- The departure day of Split is Day 17. The arrival day of Dubrovnik is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Munich, Seville, Paris, Riga, Milan, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Split to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Split to Frankfurt.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stockholm from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Milan to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 19 - 22).\n           |- The departure day of Stockholm is Day 19. The arrival day of Dubrovnik is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Munich, Seville, Paris, Riga, Milan, Stockholm].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Stockholm to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 25 - 28).\n             |- The departure day of Dubrovnik is Day 22. The arrival day of Vilnius is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Munich, Seville, Paris, Riga, Milan, Stockholm, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Split from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Dubrovnik to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Frankfurt from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Dubrovnik to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Vilnius (Day 25 - 28).\n               |- The departure day of Frankfurt is Day 25. The arrival day of Vilnius is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Munich, Seville, Paris, Riga, Milan, Stockholm, Dubrovnik, Frankfurt].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Frankfurt to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Munich, Seville, Paris, Riga, Milan, Stockholm, Dubrovnik, Frankfurt, Vilnius].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 28. Duration: 3 days. Schedule: Day 28 - 30.\n                   |- Check for direct flight from Vilnius to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Munich, Seville, Paris, Riga, Milan, Stockholm, Dubrovnik, Frankfurt, Vilnius, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Seville.\n**Day 2-4:** Visit Seville for 3 days.\n**Day 4:** Fly from Seville to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Riga.\n**Day 8-12:** Visit Riga for 5 days.\n**Day 12:** Fly from Riga to Milan.\n**Day 12-15:** Visit Milan for 4 days.\n**Day 15:** Fly from Milan to Stockholm.\n**Day 15-19:** Visit Stockholm for 5 days.\n**Day 19:** Fly from Stockholm to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Frankfurt.\n**Day 22-25:** Visit Frankfurt for 4 days.\n**Day 25:** Fly from Frankfurt to Vilnius.\n**Day 25-28:** Visit Vilnius for 4 days.\n**Day 28:** Fly from Vilnius to Split.\n**Day 28-30:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Barcelona**Seville**Lisbon**Lyon**Split**Vilnius**Berlin**Geneva**Naples",
    "ground_truth_durations": "5**5**2**4**5**5**5**5**5**5",
    "num_cities": 10,
    "total_days": 37,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 33,
        "end_day": 37
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Barcelona"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Barcelona",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Split",
        "Naples"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Barcelona",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 37 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 17 and day 21. You want to spend 4 days in Lisbon. You would like to meet your friends at Lisbon between day 10 and day 13 to tour together. You would like to visit Berlin for 5 days. You plan to stay in Copenhagen for 5 days. From day 1 to day 5, there is a annual show you want to attend in Copenhagen. You want to spend 5 days in Barcelona. You plan to stay in Seville for 2 days. You plan to stay in Naples for 5 days. You are going to attend a wedding in Naples between day 33 and day 37. You would like to visit Geneva for 5 days. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nBarcelona and Naples, Lisbon and Naples, Barcelona and Lyon, Geneva and Naples, Copenhagen and Vilnius, Seville and Lisbon, Copenhagen and Barcelona, Split and Geneva, Copenhagen and Berlin, Split and Berlin, Split and Vilnius, Barcelona and Seville, Berlin and Geneva, Barcelona and Berlin, Copenhagen and Lisbon, Lisbon and Lyon, Copenhagen and Split, Lyon and Split, Split and Naples, Lisbon and Berlin, Barcelona and Geneva, Vilnius and Berlin, Berlin and Naples, Copenhagen and Naples, Barcelona and Lisbon, Copenhagen and Geneva, Lisbon and Geneva, Barcelona and Split.\n\nFind a trip plan of visiting the cities for 37 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 37 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You plan to stay in Split for 5 days. You want to meet a friend in Split between day 17 and day 21. You want to spend 4 days in Lisbon. You would like to meet your friends at Lisbon between day 10 and day 13 to tour together. You would like to visit Berlin for 5 days. You plan to stay in Copenhagen for 5 days. From day 1 to day 5, there is a annual show you want to attend in Copenhagen. You want to spend 5 days in Barcelona. You plan to stay in Seville for 2 days. You plan to stay in Naples for 5 days. You are going to attend a wedding in Naples between day 33 and day 37. You would like to visit Geneva for 5 days. You would like to visit Lyon for 5 days.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Naples, from Lisbon to Naples, from Barcelona to Lyon, from Geneva to Naples, from Copenhagen to Vilnius, from Seville to Lisbon, from Copenhagen to Barcelona, from Split to Geneva, from Copenhagen to Berlin, from Split to Berlin, from Split to Vilnius, from Barcelona to Seville, from Berlin to Geneva, from Barcelona to Berlin, from Copenhagen to Lisbon, from Lisbon to Lyon, from Copenhagen to Split, from Lyon to Split, from Split to Naples, from Lisbon to Berlin, from Barcelona to Geneva, from Vilnius to Berlin, from Berlin to Naples, from Copenhagen to Naples, from Barcelona to Lisbon, from Copenhagen to Geneva, from Lisbon to Geneva, from Barcelona to Split.\n\nFind a trip plan of visiting the cities for 37 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 37 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Lisbon.\n**Day 10-13:** Visit Lisbon for 4 days.\n**Day 13:** Fly from Lisbon to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.\n**Day 21:** Fly from Split to Vilnius.\n**Day 21-25:** Visit Vilnius for 5 days.\n**Day 25:** Fly from Vilnius to Berlin.\n**Day 25-29:** Visit Berlin for 5 days.\n**Day 29:** Fly from Berlin to Geneva.\n**Day 29-33:** Visit Geneva for 5 days.\n**Day 33:** Fly from Geneva to Naples.\n**Day 33-37:** Visit Naples for 5 days.",
    "id": "trip_planning_example_1489",
    "estimated_output_tokens": 4333,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Lisbon, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Berlin, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Barcelona, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 33 - 37.\n* City: Geneva, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n* City: Lisbon, Fixed Schedule: Day 10 - 13.\n* City: Split, Fixed Schedule: Day 17 - 21.\n* City: Naples, Fixed Schedule: Day 33 - 37.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n* City: Barcelona, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Geneva, Duration: 5 days.\n* City: Lyon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 10 - 13).\n |- The departure day of Copenhagen is Day 5. The arrival day of Lisbon is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Barcelona, Seville, Geneva, Lyon] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 13).\n   |- The departure day of Vilnius is Day 9. The arrival day of Lisbon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Vilnius].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Barcelona, Seville, Geneva, Lyon] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 10 - 13).\n     |- The departure day of Berlin is Day 13. The arrival day of Lisbon is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Vilnius to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Vilnius to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 13).\n   |- The departure day of Berlin is Day 9. The arrival day of Lisbon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Berlin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Barcelona, Seville, Geneva, Lyon] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Berlin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Berlin to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Berlin to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Berlin to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 10 - 13).\n     |- The departure day of Geneva is Day 13. The arrival day of Lisbon is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Berlin to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Copenhagen to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lisbon (Day 10 - 13).\n   |- The departure day of Barcelona is Day 9. The arrival day of Lisbon is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Copenhagen, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Seville, Geneva, Lyon] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Barcelona to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Barcelona to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 10 - 13).\n     |- The departure day of Berlin is Day 13. The arrival day of Lisbon is Day 10. Day 13 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Barcelona to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 10 - 13).\n     |- The departure day of Seville is Day 10. The arrival day of Lisbon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Barcelona, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Lisbon.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 17 - 21).\n       |- The departure day of Lisbon is Day 13. The arrival day of Split is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Copenhagen, Barcelona, Seville, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Geneva, Lyon] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 17 - 21).\n         |- The departure day of Berlin is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Berlin].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n           |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Berlin to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 17 - 21).\n         |- The departure day of Geneva is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Geneva].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n           |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Geneva to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Lisbon to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Split (Day 17 - 21).\n         |- The departure day of Lyon is Day 17. The arrival day of Split is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Split.\n           |- Try arranging to visit Split from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Lyon to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Naples (Day 33 - 37).\n           |- The departure day of Split is Day 21. The arrival day of Naples is Day 33. Day 21 is not later than (<=) Day 33. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon, Split].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Berlin, Geneva] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Split to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Naples (Day 33 - 37).\n             |- The departure day of Vilnius is Day 25. The arrival day of Naples is Day 33. Day 25 is not later than (<=) Day 33. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon, Split, Vilnius].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Geneva] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n               |- Check for direct flight from Vilnius to Berlin.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Naples (Day 33 - 37).\n               |- The departure day of Berlin is Day 29. The arrival day of Naples is Day 33. Day 29 is not later than (<=) Day 33. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 29. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon, Split, Vilnius, Berlin].\n                |- Check whether the city with an arrival day of Day 29 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 29. Duration: 5 days. Schedule: Day 29 - 33.\n                 |- Check for direct flight from Berlin to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: Naples (Day 33 - 37).\n                 |- The departure day of Geneva is Day 33. The arrival day of Naples is Day 33. Day 33 is not later than (<=) Day 33. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 33. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon, Split, Vilnius, Berlin, Geneva].\n                  |- Check whether the city with an arrival day of Day 33 - is fixed.\n                  |- Yes. The city with an arrival day of Day 33 - is fixed: Naples.\n                   |- Try arranging to visit Naples from Day 33. Duration: 5 days. Schedule: Day 33 - 37.\n                   |- Check for direct flight from Geneva to Naples.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 33: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 37. Current plan: [Copenhagen, Barcelona, Seville, Lisbon, Lyon, Split, Vilnius, Berlin, Geneva, Naples].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Lisbon.\n**Day 10-13:** Visit Lisbon for 4 days.\n**Day 13:** Fly from Lisbon to Lyon.\n**Day 13-17:** Visit Lyon for 5 days.\n**Day 17:** Fly from Lyon to Split.\n**Day 17-21:** Visit Split for 5 days.\n**Day 21:** Fly from Split to Vilnius.\n**Day 21-25:** Visit Vilnius for 5 days.\n**Day 25:** Fly from Vilnius to Berlin.\n**Day 25-29:** Visit Berlin for 5 days.\n**Day 29:** Fly from Berlin to Geneva.\n**Day 29-33:** Visit Geneva for 5 days.\n**Day 33:** Fly from Geneva to Naples.\n**Day 33-37:** Visit Naples for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Venice**Oslo**Edinburgh**Krakow**Valencia**Lyon**Madrid**Manchester",
    "ground_truth_durations": "4**5**2**5**5**5**4**4**5**5",
    "num_cities": 10,
    "total_days": 35,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 27,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Oslo",
        "Manchester"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Madrid"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Oslo",
        "Edinburgh"
      ],
      [
        "Hamburg",
        "Oslo"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Oslo",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 35 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You want to spend 4 days in Valencia. You would like to visit Hamburg for 5 days. You plan to stay in Lyon for 4 days. You would like to visit Edinburgh for 5 days. From day 13 to day 17, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Venice. During day 8 and day 9, you have to attend a conference in Venice. You want to spend 5 days in Madrid. You want to meet a friend in Madrid between day 27 and day 31. You plan to stay in Krakow for 5 days. You would like to visit Oslo for 5 days. You would like to visit Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nHamburg and Manchester, Oslo and Manchester, Krakow and Manchester, Edinburgh and Madrid, Venice and Manchester, Hamburg and Venice, Hamburg and Edinburgh, Lyon and Madrid, Edinburgh and Krakow, Venice and Lyon, Krakow and Valencia, Oslo and Lyon, Oslo and Edinburgh, Hamburg and Oslo, Salzburg and Hamburg, Venice and Madrid, Valencia and Madrid, Madrid and Manchester, Venice and Oslo, Hamburg and Madrid, Venice and Edinburgh, Oslo and Krakow, Valencia and Lyon, Oslo and Madrid.\n\nFind a trip plan of visiting the cities for 35 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 35 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 5 days. You want to spend 4 days in Valencia. You would like to visit Hamburg for 5 days. You plan to stay in Lyon for 4 days. You would like to visit Edinburgh for 5 days. From day 13 to day 17, there is a annual show you want to attend in Edinburgh. You want to spend 2 days in Venice. During day 8 and day 9, you have to attend a conference in Venice. You want to spend 5 days in Madrid. You want to meet a friend in Madrid between day 27 and day 31. You plan to stay in Krakow for 5 days. You would like to visit Oslo for 5 days. You would like to visit Salzburg for 4 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Manchester, from Oslo to Manchester, from Krakow to Manchester, from Edinburgh to Madrid, from Venice to Manchester, from Hamburg to Venice, from Hamburg to Edinburgh, from Lyon to Madrid, from Edinburgh to Krakow, from Venice to Lyon, from Krakow to Valencia, from Oslo to Lyon, from Oslo to Edinburgh, from Hamburg to Oslo, from Salzburg to Hamburg, from Venice to Madrid, from Valencia to Madrid, from Madrid to Manchester, from Venice to Oslo, from Hamburg to Madrid, from Venice to Edinburgh, from Oslo to Krakow, from Valencia to Lyon, from Oslo to Madrid.\n\nFind a trip plan of visiting the cities for 35 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 35 days:\n\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Edinburgh.\n**Day 13-17:** Visit Edinburgh for 5 days.\n**Day 17:** Fly from Edinburgh to Krakow.\n**Day 17-21:** Visit Krakow for 5 days.\n**Day 21:** Fly from Krakow to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-27:** Visit Lyon for 4 days.\n**Day 27:** Fly from Lyon to Madrid.\n**Day 27-31:** Visit Madrid for 5 days.\n**Day 31:** Fly from Madrid to Manchester.\n**Day 31-35:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_1490",
    "estimated_output_tokens": 7927,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Venice, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 27 - 31.\n* City: Krakow, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 8 - 9.\n* City: Edinburgh, Fixed Schedule: Day 13 - 17.\n* City: Madrid, Fixed Schedule: Day 27 - 31.\n\nCities needing arrangement:\n* City: Manchester, Duration: 5 days.\n* City: Valencia, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Krakow, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Manchester, Valencia, Hamburg, Lyon, Krakow, Oslo, Salzburg] and explore these options in order.\n |- Try arranging to visit Manchester from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Manchester is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Hamburg, Lyon, Krakow, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Manchester to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Manchester to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Manchester to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Manchester to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Valencia is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Hamburg, Lyon, Krakow, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 9).\n   |- The departure day of Lyon is Day 7. The arrival day of Venice is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Valencia, Lyon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Hamburg, Krakow, Oslo, Salzburg] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lyon to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lyon to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lyon to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lyon to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lyon to Salzburg.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Valencia to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Valencia to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Hamburg is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Lyon, Krakow, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Manchester is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Hamburg to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Oslo is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Lyon is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Hamburg, Krakow, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Lyon to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Krakow is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Hamburg, Lyon, Oslo, Salzburg] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Manchester is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Krakow to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Valencia is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Krakow, Valencia].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Valencia to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Krakow to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Krakow to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Oslo is Day 5. The arrival day of Venice is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Hamburg, Lyon, Krakow, Salzburg] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Manchester is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Lyon is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Oslo, Lyon].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Lyon to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Oslo to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 8 - 9).\n   |- The departure day of Krakow is Day 9. The arrival day of Venice is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Oslo to Salzburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 8 - 9).\n |- The departure day of Salzburg is Day 4. The arrival day of Venice is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Hamburg, Lyon, Krakow, Oslo] and explore these options in order.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Venice (Day 8 - 9).\n   |- The departure day of Hamburg is Day 8. The arrival day of Venice is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Edinburgh (Day 13 - 17).\n     |- The departure day of Venice is Day 9. The arrival day of Edinburgh is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Salzburg, Hamburg, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Lyon, Krakow, Oslo] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 17).\n       |- The departure day of Manchester is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Salzburg, Hamburg, Venice, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Manchester to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 17).\n       |- The departure day of Lyon is Day 12. The arrival day of Edinburgh is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Salzburg, Hamburg, Venice, Lyon].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Krakow, Oslo] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Manchester.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Lyon to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Lyon to Oslo.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Venice to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Edinburgh (Day 13 - 17).\n       |- The departure day of Oslo is Day 13. The arrival day of Edinburgh is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Salzburg, Hamburg, Venice, Oslo].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Edinburgh.\n         |- Try arranging to visit Edinburgh from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Oslo to Edinburgh.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Madrid (Day 27 - 31).\n         |- The departure day of Edinburgh is Day 17. The arrival day of Madrid is Day 27. Day 17 is not later than (<=) Day 27. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Lyon, Krakow] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Edinburgh to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Edinburgh to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Edinburgh to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Edinburgh to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Madrid (Day 27 - 31).\n           |- The departure day of Krakow is Day 21. The arrival day of Madrid is Day 27. Day 21 is not later than (<=) Day 27. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Valencia, Lyon] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n             |- Check for direct flight from Krakow to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Madrid (Day 27 - 31).\n             |- The departure day of Manchester is Day 25. The arrival day of Madrid is Day 27. Day 25 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow, Manchester].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Lyon] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n               |- Check for direct flight from Manchester to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n               |- Check for direct flight from Manchester to Lyon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n             |- Check for direct flight from Krakow to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Madrid (Day 27 - 31).\n             |- The departure day of Valencia is Day 24. The arrival day of Madrid is Day 27. Day 24 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow, Valencia].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Lyon] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Valencia to Manchester.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Valencia to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Madrid (Day 27 - 31).\n               |- The departure day of Lyon is Day 27. The arrival day of Madrid is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow, Valencia, Lyon].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- Yes. The city with an arrival day of Day 27 - is fixed: Madrid.\n                 |- Try arranging to visit Madrid from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                 |- Check for direct flight from Lyon to Madrid.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 31. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow, Valencia, Lyon, Madrid].\n                  |- Check whether the city with an arrival day of Day 31 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n                   |- Try arranging to visit Manchester from Day 31. Duration: 5 days. Schedule: Day 31 - 35.\n                   |- Check for direct flight from Madrid to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 31: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 35. Current plan: [Salzburg, Hamburg, Venice, Oslo, Edinburgh, Krakow, Valencia, Lyon, Madrid, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Salzburg and visit Salzburg for 4 days.\n**Day 4:** Fly from Salzburg to Hamburg.\n**Day 4-8:** Visit Hamburg for 5 days.\n**Day 8:** Fly from Hamburg to Venice.\n**Day 8-9:** Visit Venice for 2 days.\n**Day 9:** Fly from Venice to Oslo.\n**Day 9-13:** Visit Oslo for 5 days.\n**Day 13:** Fly from Oslo to Edinburgh.\n**Day 13-17:** Visit Edinburgh for 5 days.\n**Day 17:** Fly from Edinburgh to Krakow.\n**Day 17-21:** Visit Krakow for 5 days.\n**Day 21:** Fly from Krakow to Valencia.\n**Day 21-24:** Visit Valencia for 4 days.\n**Day 24:** Fly from Valencia to Lyon.\n**Day 24-27:** Visit Lyon for 4 days.\n**Day 27:** Fly from Lyon to Madrid.\n**Day 27-31:** Visit Madrid for 5 days.\n**Day 31:** Fly from Madrid to Manchester.\n**Day 31-35:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Vienna**Krakow**Manchester**Riga**Hamburg**Barcelona**Reykjavik**Amsterdam**Tallinn",
    "ground_truth_durations": "3**5**3**5**2**2**3**3**5**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Manchester",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Manchester",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Brussels",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Brussels",
        "Tallinn"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Brussels",
        "Barcelona"
      ],
      [
        "Vienna",
        "Barcelona"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Manchester",
        "Riga"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You want to spend 5 days in Vienna. From day 3 to day 7, there is a annual show you want to attend in Vienna. You plan to stay in Barcelona for 3 days. You plan to stay in Riga for 2 days. You plan to stay in Manchester for 5 days. You would like to meet your friends at Manchester between day 9 and day 13 to tour together. You would like to visit Tallinn for 5 days. During day 23 and day 27, you have to attend a conference in Tallinn. You would like to visit Reykjavik for 3 days. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 19 and day 23. You plan to stay in Brussels for 3 days. You want to meet a friend in Brussels between day 1 and day 3. You plan to stay in Hamburg for 2 days.\n\nHere are the cities that have direct flights:\nBrussels and Krakow, Brussels and Manchester, Vienna and Riga, Krakow and Manchester, Hamburg and Amsterdam, Krakow and Amsterdam, Brussels and Riga, Manchester and Amsterdam, Krakow and Barcelona, Vienna and Manchester, Vienna and Reykjavik, Hamburg and Barcelona, Manchester and Barcelona, Reykjavik and Amsterdam, Riga and Barcelona, from Riga to Tallinn, Vienna and Amsterdam, Vienna and Hamburg, Barcelona and Tallinn, from Riga to Hamburg, Amsterdam and Tallinn, Riga and Amsterdam, Barcelona and Reykjavik, Brussels and Hamburg, Brussels and Vienna, Brussels and Reykjavik, Barcelona and Amsterdam, Brussels and Tallinn, Vienna and Krakow, Brussels and Barcelona, Vienna and Barcelona, Manchester and Hamburg, Manchester and Riga.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Krakow. You want to spend 5 days in Vienna. From day 3 to day 7, there is a annual show you want to attend in Vienna. You plan to stay in Barcelona for 3 days. You plan to stay in Riga for 2 days. You plan to stay in Manchester for 5 days. You would like to meet your friends at Manchester between day 9 and day 13 to tour together. You would like to visit Tallinn for 5 days. During day 23 and day 27, you have to attend a conference in Tallinn. You would like to visit Reykjavik for 3 days. You want to spend 5 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 19 and day 23. You plan to stay in Brussels for 3 days. You want to meet a friend in Brussels between day 1 and day 3. You plan to stay in Hamburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Krakow, from Brussels to Manchester, from Vienna to Riga, from Krakow to Manchester, from Hamburg to Amsterdam, from Krakow to Amsterdam, from Brussels to Riga, from Manchester to Amsterdam, from Krakow to Barcelona, from Vienna to Manchester, from Vienna to Reykjavik, from Hamburg to Barcelona, from Manchester to Barcelona, from Reykjavik to Amsterdam, from Riga to Barcelona, from Riga to Tallinn, from Vienna to Amsterdam, from Vienna to Hamburg, from Barcelona to Tallinn, from Riga to Hamburg, from Amsterdam to Tallinn, from Riga to Amsterdam, from Barcelona to Reykjavik, from Brussels to Hamburg, from Brussels to Vienna, from Brussels to Reykjavik, from Barcelona to Amsterdam, from Brussels to Tallinn, from Vienna to Krakow, from Brussels to Barcelona, from Vienna to Barcelona, from Manchester to Hamburg, from Manchester to Riga.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Hamburg.\n**Day 14-15:** Visit Hamburg for 2 days.\n**Day 15:** Fly from Hamburg to Barcelona.\n**Day 15-17:** Visit Barcelona for 3 days.\n**Day 17:** Fly from Barcelona to Reykjavik.\n**Day 17-19:** Visit Reykjavik for 3 days.\n**Day 19:** Fly from Reykjavik to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.\n**Day 23:** Fly from Amsterdam to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1491",
    "estimated_output_tokens": 3846,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 3 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Barcelona, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Reykjavik, Duration: 3 days.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Vienna, Fixed Schedule: Day 3 - 7.\n* City: Manchester, Fixed Schedule: Day 9 - 13.\n* City: Amsterdam, Fixed Schedule: Day 19 - 23.\n* City: Tallinn, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Krakow, Duration: 3 days.\n* City: Barcelona, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 7).\n |- The departure day of Brussels is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 9 - 13).\n   |- The departure day of Vienna is Day 7. The arrival day of Manchester is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Brussels, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Barcelona, Riga, Reykjavik, Hamburg] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 9 - 13).\n     |- The departure day of Krakow is Day 9. The arrival day of Manchester is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Vienna, Krakow].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Krakow to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Amsterdam (Day 19 - 23).\n       |- The departure day of Manchester is Day 13. The arrival day of Amsterdam is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Vienna, Krakow, Manchester].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Barcelona, Riga, Reykjavik, Hamburg] and explore these options in order.\n         |- Try arranging to visit Barcelona from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Manchester to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Amsterdam (Day 19 - 23).\n         |- The departure day of Barcelona is Day 15. The arrival day of Amsterdam is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Brussels, Vienna, Krakow, Manchester, Barcelona].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga, Reykjavik, Hamburg] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Barcelona to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Barcelona to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 19 - 23).\n           |- The departure day of Reykjavik is Day 17. The arrival day of Amsterdam is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Vienna, Krakow, Manchester, Barcelona, Reykjavik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Hamburg] and explore these options in order.\n             |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Reykjavik to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Reykjavik to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Barcelona to Hamburg.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Manchester to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Amsterdam (Day 19 - 23).\n         |- The departure day of Riga is Day 14. The arrival day of Amsterdam is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik, Hamburg] and explore these options in order.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 19 - 23).\n           |- The departure day of Barcelona is Day 16. The arrival day of Amsterdam is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Barcelona to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Amsterdam (Day 19 - 23).\n             |- The departure day of Reykjavik is Day 18. The arrival day of Amsterdam is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Barcelona, Reykjavik].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Reykjavik to Hamburg.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Barcelona to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Riga to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Riga to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Amsterdam (Day 19 - 23).\n           |- The departure day of Hamburg is Day 15. The arrival day of Amsterdam is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Hamburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Barcelona, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Barcelona from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Hamburg to Barcelona.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Amsterdam (Day 19 - 23).\n             |- The departure day of Barcelona is Day 17. The arrival day of Amsterdam is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Hamburg, Barcelona].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Barcelona to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Amsterdam (Day 19 - 23).\n               |- The departure day of Reykjavik is Day 19. The arrival day of Amsterdam is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Hamburg, Barcelona, Reykjavik].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Amsterdam.\n                 |- Try arranging to visit Amsterdam from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Reykjavik to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Tallinn (Day 23 - 27).\n                 |- The departure day of Amsterdam is Day 23. The arrival day of Tallinn is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Hamburg, Barcelona, Reykjavik, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Amsterdam to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Brussels, Vienna, Krakow, Manchester, Riga, Hamburg, Barcelona, Reykjavik, Amsterdam, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Vienna.\n**Day 3-7:** Visit Vienna for 5 days.\n**Day 7:** Fly from Vienna to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Manchester.\n**Day 9-13:** Visit Manchester for 5 days.\n**Day 13:** Fly from Manchester to Riga.\n**Day 13-14:** Visit Riga for 2 days.\n**Day 14:** Fly from Riga to Hamburg.\n**Day 14-15:** Visit Hamburg for 2 days.\n**Day 15:** Fly from Hamburg to Barcelona.\n**Day 15-17:** Visit Barcelona for 3 days.\n**Day 17:** Fly from Barcelona to Reykjavik.\n**Day 17-19:** Visit Reykjavik for 3 days.\n**Day 19:** Fly from Reykjavik to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.\n**Day 23:** Fly from Amsterdam to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Rome**Stockholm**Split**Amsterdam**Bucharest**Santorini**Geneva**Porto**Milan",
    "ground_truth_durations": "5**2**4**3**4**4**2**5**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 25,
        "end_day": 28
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Porto"
      ],
      [
        "Seville",
        "Milan"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Split",
        "Milan"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Seville",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. You want to spend 4 days in Porto. You want to spend 4 days in Amsterdam. You want to spend 2 days in Santorini. During day 17 and day 18, you have to attend a conference in Santorini. You want to spend 2 days in Rome. You plan to visit relatives in Rome between day 5 and day 6. You plan to stay in Split for 3 days. You are going to attend a wedding in Split between day 9 and day 11. You would like to visit Seville for 5 days. You want to spend 4 days in Bucharest. You want to spend 4 days in Stockholm. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 25 and day 28.\n\nHere are the cities that have direct flights:\nAmsterdam and Milan, Porto and Milan, Stockholm and Split, Stockholm and Amsterdam, Santorini and Geneva, Santorini and Milan, Rome and Bucharest, Rome and Amsterdam, Amsterdam and Porto, Seville and Milan, Amsterdam and Bucharest, Amsterdam and Geneva, Rome and Stockholm, Seville and Porto, Split and Geneva, Geneva and Porto, Amsterdam and Santorini, Rome and Santorini, Stockholm and Geneva, from Stockholm to Santorini, Split and Milan, Bucharest and Santorini, Split and Amsterdam, Rome and Split, Stockholm and Milan, Rome and Geneva, Seville and Amsterdam, Seville and Rome.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Geneva. You want to spend 4 days in Porto. You want to spend 4 days in Amsterdam. You want to spend 2 days in Santorini. During day 17 and day 18, you have to attend a conference in Santorini. You want to spend 2 days in Rome. You plan to visit relatives in Rome between day 5 and day 6. You plan to stay in Split for 3 days. You are going to attend a wedding in Split between day 9 and day 11. You would like to visit Seville for 5 days. You want to spend 4 days in Bucharest. You want to spend 4 days in Stockholm. You plan to stay in Milan for 4 days. You want to meet a friend in Milan between day 25 and day 28.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Milan, from Porto to Milan, from Stockholm to Split, from Stockholm to Amsterdam, from Santorini to Geneva, from Santorini to Milan, from Rome to Bucharest, from Rome to Amsterdam, from Amsterdam to Porto, from Seville to Milan, from Amsterdam to Bucharest, from Amsterdam to Geneva, from Rome to Stockholm, from Seville to Porto, from Split to Geneva, from Geneva to Porto, from Amsterdam to Santorini, from Rome to Santorini, from Stockholm to Geneva, from Stockholm to Santorini, from Split to Milan, from Bucharest to Santorini, from Split to Amsterdam, from Rome to Split, from Stockholm to Milan, from Rome to Geneva, from Seville to Amsterdam, from Seville to Rome.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Split.\n**Day 9-11:** Visit Split for 3 days.\n**Day 11:** Fly from Split to Amsterdam.\n**Day 11-14:** Visit Amsterdam for 4 days.\n**Day 14:** Fly from Amsterdam to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.\n**Day 17:** Fly from Bucharest to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Geneva.\n**Day 18-22:** Visit Geneva for 5 days.\n**Day 22:** Fly from Geneva to Porto.\n**Day 22-25:** Visit Porto for 4 days.\n**Day 25:** Fly from Porto to Milan.\n**Day 25-28:** Visit Milan for 4 days.",
    "id": "trip_planning_example_1492",
    "estimated_output_tokens": 5431,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Seville, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 5 - 6.\n* City: Split, Fixed Schedule: Day 9 - 11.\n* City: Santorini, Fixed Schedule: Day 17 - 18.\n* City: Milan, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Geneva, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Seville, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Geneva, Porto, Amsterdam, Seville, Bucharest, Stockholm] and explore these options in order.\n |- Try arranging to visit Geneva from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Geneva is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Geneva to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Porto is Day 4. The arrival day of Rome is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Amsterdam, Seville, Bucharest, Stockholm] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Porto to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Porto to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Porto to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Amsterdam is Day 4. The arrival day of Rome is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Geneva, Porto, Seville, Bucharest, Stockholm] and explore these options in order.\n   |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Amsterdam to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 6).\n   |- The departure day of Geneva is Day 8. The arrival day of Rome is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 6).\n   |- The departure day of Porto is Day 7. The arrival day of Rome is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Amsterdam to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 6).\n   |- The departure day of Bucharest is Day 7. The arrival day of Rome is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Seville is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 9 - 11).\n   |- The departure day of Rome is Day 6. The arrival day of Split is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Seville, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Porto, Amsterdam, Bucharest, Stockholm] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 11).\n     |- The departure day of Geneva is Day 10. The arrival day of Split is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Rome, Amsterdam].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n       |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Amsterdam to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 11).\n     |- The departure day of Bucharest is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Rome, Bucharest].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n       |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Bucharest to Split.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Rome to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Split (Day 9 - 11).\n     |- The departure day of Stockholm is Day 9. The arrival day of Split is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Rome, Stockholm].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Split.\n       |- Try arranging to visit Split from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stockholm to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 17 - 18).\n       |- The departure day of Split is Day 11. The arrival day of Santorini is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Seville, Rome, Stockholm, Split].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Porto, Amsterdam, Bucharest] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Split to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 17 - 18).\n         |- The departure day of Geneva is Day 15. The arrival day of Santorini is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Rome, Stockholm, Split, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Amsterdam, Bucharest] and explore these options in order.\n           |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Santorini (Day 17 - 18).\n           |- The departure day of Porto is Day 18. The arrival day of Santorini is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Geneva to Amsterdam.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Geneva to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Split to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 17 - 18).\n         |- The departure day of Amsterdam is Day 14. The arrival day of Santorini is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Geneva, Porto, Bucharest] and explore these options in order.\n           |- Try arranging to visit Geneva from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Amsterdam to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Geneva is Day 18. The arrival day of Santorini is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Porto from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Porto is Day 17. The arrival day of Santorini is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Porto].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Porto to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 17 - 18).\n           |- The departure day of Bucharest is Day 17. The arrival day of Santorini is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Bucharest].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Bucharest to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Milan (Day 25 - 28).\n             |- The departure day of Santorini is Day 18. The arrival day of Milan is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Bucharest, Santorini].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Porto] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Santorini to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Milan (Day 25 - 28).\n               |- The departure day of Geneva is Day 22. The arrival day of Milan is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Bucharest, Santorini, Geneva].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Geneva to Porto.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Milan (Day 25 - 28).\n                 |- The departure day of Porto is Day 25. The arrival day of Milan is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Bucharest, Santorini, Geneva, Porto].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Milan.\n                   |- Try arranging to visit Milan from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Porto to Milan.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Seville, Rome, Stockholm, Split, Amsterdam, Bucharest, Santorini, Geneva, Porto, Milan].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Stockholm.\n**Day 6-9:** Visit Stockholm for 4 days.\n**Day 9:** Fly from Stockholm to Split.\n**Day 9-11:** Visit Split for 3 days.\n**Day 11:** Fly from Split to Amsterdam.\n**Day 11-14:** Visit Amsterdam for 4 days.\n**Day 14:** Fly from Amsterdam to Bucharest.\n**Day 14-17:** Visit Bucharest for 4 days.\n**Day 17:** Fly from Bucharest to Santorini.\n**Day 17-18:** Visit Santorini for 2 days.\n**Day 18:** Fly from Santorini to Geneva.\n**Day 18-22:** Visit Geneva for 5 days.\n**Day 22:** Fly from Geneva to Porto.\n**Day 22-25:** Visit Porto for 4 days.\n**Day 25:** Fly from Porto to Milan.\n**Day 25-28:** Visit Milan for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Frankfurt**Barcelona**Nice**Brussels**Oslo**Vilnius**Milan**Prague**Krakow",
    "ground_truth_durations": "5**5**5**5**4**4**2**2**2**5",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 26,
        "end_day": 30
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Barcelona",
        "Nice"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Krakow"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Frankfurt",
        "Oslo"
      ],
      [
        "Brussels",
        "Milan"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Salzburg",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Barcelona",
        "Prague"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Frankfurt",
        "Barcelona"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You plan to stay in Vilnius for 2 days. You want to spend 4 days in Oslo. You would like to meet your friends at Oslo between day 20 and day 23 to tour together. You want to spend 5 days in Frankfurt. You want to spend 5 days in Salzburg. You plan to stay in Prague for 2 days. You want to spend 5 days in Nice. You have to attend a workshop in Nice between day 13 and day 17. You want to spend 5 days in Krakow. You plan to visit relatives in Krakow between day 26 and day 30. You would like to visit Milan for 2 days. You want to spend 5 days in Barcelona.\n\nHere are the cities that have direct flights:\nBarcelona and Brussels, Nice and Brussels, Brussels and Vilnius, Milan and Krakow, Oslo and Vilnius, Oslo and Prague, Barcelona and Nice, Brussels and Oslo, Frankfurt and Krakow, Nice and Oslo, Brussels and Prague, Frankfurt and Oslo, Brussels and Milan, Prague and Krakow, Salzburg and Frankfurt, Vilnius and Milan, from Brussels to Frankfurt, Barcelona and Krakow, from Krakow to Vilnius, Oslo and Krakow, Barcelona and Prague, Frankfurt and Prague, Milan and Prague, Frankfurt and Milan, Barcelona and Oslo, Frankfurt and Barcelona, Oslo and Milan, Frankfurt and Nice, Brussels and Krakow, Frankfurt and Vilnius, Barcelona and Milan.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You would like to visit Brussels for 4 days. You plan to stay in Vilnius for 2 days. You want to spend 4 days in Oslo. You would like to meet your friends at Oslo between day 20 and day 23 to tour together. You want to spend 5 days in Frankfurt. You want to spend 5 days in Salzburg. You plan to stay in Prague for 2 days. You want to spend 5 days in Nice. You have to attend a workshop in Nice between day 13 and day 17. You want to spend 5 days in Krakow. You plan to visit relatives in Krakow between day 26 and day 30. You would like to visit Milan for 2 days. You want to spend 5 days in Barcelona.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Brussels, from Nice to Brussels, from Brussels to Vilnius, from Milan to Krakow, from Oslo to Vilnius, from Oslo to Prague, from Barcelona to Nice, from Brussels to Oslo, from Frankfurt to Krakow, from Nice to Oslo, from Brussels to Prague, from Frankfurt to Oslo, from Brussels to Milan, from Prague to Krakow, from Salzburg to Frankfurt, from Vilnius to Milan, from Brussels to Frankfurt, from Barcelona to Krakow, from Krakow to Vilnius, from Oslo to Krakow, from Barcelona to Prague, from Frankfurt to Prague, from Milan to Prague, from Frankfurt to Milan, from Barcelona to Oslo, from Frankfurt to Barcelona, from Oslo to Milan, from Frankfurt to Nice, from Brussels to Krakow, from Frankfurt to Vilnius, from Barcelona to Milan.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Barcelona.\n**Day 9-13:** Visit Barcelona for 5 days.\n**Day 13:** Fly from Barcelona to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to Brussels.\n**Day 17-20:** Visit Brussels for 4 days.\n**Day 20:** Fly from Brussels to Oslo.\n**Day 20-23:** Visit Oslo for 4 days.\n**Day 23:** Fly from Oslo to Vilnius.\n**Day 23-24:** Visit Vilnius for 2 days.\n**Day 24:** Fly from Vilnius to Milan.\n**Day 24-25:** Visit Milan for 2 days.\n**Day 25:** Fly from Milan to Prague.\n**Day 25-26:** Visit Prague for 2 days.\n**Day 26:** Fly from Prague to Krakow.\n**Day 26-30:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_1493",
    "estimated_output_tokens": 17233,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Frankfurt, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 26 - 30.\n* City: Milan, Duration: 2 days.\n* City: Barcelona, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 13 - 17.\n* City: Oslo, Fixed Schedule: Day 20 - 23.\n* City: Krakow, Fixed Schedule: Day 26 - 30.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Vilnius, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Salzburg, Duration: 5 days.\n* City: Prague, Duration: 2 days.\n* City: Milan, Duration: 2 days.\n* City: Barcelona, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Frankfurt, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 13 - 17).\n |- The departure day of Brussels is Day 4. The arrival day of Nice is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 13 - 17).\n   |- The departure day of Vilnius is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Vilnius].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Vilnius to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n     |- The departure day of Milan is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Brussels, Vilnius, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Prague, Barcelona] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 7. The arrival day of Nice is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Brussels, Vilnius, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Salzburg, Barcelona] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Prague to Frankfurt.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Prague to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Prague to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Milan to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Brussels to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 13 - 17).\n   |- The departure day of Frankfurt is Day 8. The arrival day of Nice is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Brussels, Frankfurt].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Frankfurt to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 17).\n     |- The departure day of Vilnius is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Frankfurt, Vilnius].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vilnius to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Vilnius to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n       |- The departure day of Milan is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Frankfurt, Vilnius, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Prague, Barcelona] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Milan to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Milan to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 17).\n         |- The departure day of Prague is Day 11. The arrival day of Nice is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Brussels, Frankfurt, Vilnius, Milan, Prague].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Barcelona] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Prague to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Prague to Barcelona.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Milan to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Vilnius to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Frankfurt to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Frankfurt, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Milan, Barcelona] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Prague to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 17).\n     |- The departure day of Milan is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Frankfurt, Milan].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Prague, Barcelona] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Milan to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Milan to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Frankfurt, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Barcelona] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Prague to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Prague to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Milan to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Frankfurt to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 13 - 17).\n     |- The departure day of Barcelona is Day 12. The arrival day of Nice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Brussels, Frankfurt, Barcelona].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Prague, Milan] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Barcelona to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Barcelona to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Barcelona to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Frankfurt, Barcelona, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Barcelona to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 17).\n       |- The departure day of Milan is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Brussels, Frankfurt, Barcelona, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Milan to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Brussels to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 13 - 17).\n   |- The departure day of Prague is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Salzburg, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Prague to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Brussels to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 13 - 17).\n   |- The departure day of Milan is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Milan].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Salzburg, Prague, Barcelona] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Brussels, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Frankfurt, Salzburg, Barcelona] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Prague to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Prague to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Milan to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Brussels to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 13 - 17).\n |- The departure day of Vilnius is Day 2. The arrival day of Nice is Day 13. Day 2 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 13 - 17).\n   |- The departure day of Milan is Day 3. The arrival day of Nice is Day 13. Day 3 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Salzburg, Prague, Barcelona] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Milan to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 4. The arrival day of Nice is Day 13. Day 4 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Vilnius, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Frankfurt, Salzburg, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n       |- Check for direct flight from Prague to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Prague to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n       |- Check for direct flight from Prague to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Milan to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Vilnius to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 13 - 17).\n |- The departure day of Frankfurt is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Frankfurt to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Frankfurt to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n   |- The departure day of Vilnius is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Salzburg, Prague, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 13 - 17).\n     |- The departure day of Milan is Day 7. The arrival day of Nice is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Frankfurt, Vilnius, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Salzburg, Prague, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Milan to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 8. The arrival day of Nice is Day 13. Day 8 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Frankfurt, Vilnius, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Salzburg, Barcelona] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Prague to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Prague to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Prague to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Milan to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Frankfurt to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Frankfurt to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n   |- The departure day of Prague is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Prague to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n   |- The departure day of Milan is Day 6. The arrival day of Nice is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Milan].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Prague, Barcelona] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Milan to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Milan to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Milan to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 7. The arrival day of Nice is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Frankfurt, Milan, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Prague to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Prague to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Milan to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Frankfurt to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n   |- The departure day of Barcelona is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Frankfurt, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Prague, Milan] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Barcelona to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Brussels is Day 12. The arrival day of Nice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Frankfurt, Barcelona, Brussels].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Salzburg, Prague, Milan] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Brussels to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 17).\n       |- The departure day of Vilnius is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Barcelona, Brussels, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vilnius to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Brussels to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Brussels to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Barcelona, Brussels, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Brussels to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Nice (Day 13 - 17).\n       |- The departure day of Milan is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Frankfurt, Barcelona, Brussels, Milan].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Milan to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Barcelona to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Barcelona to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Barcelona to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Barcelona, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Milan] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Prague to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Barcelona to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Milan is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Barcelona, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg, Prague] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 11. The arrival day of Nice is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Frankfurt, Barcelona, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Salzburg] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Prague to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Prague to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Prague to Salzburg.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 13 - 17).\n |- The departure day of Salzburg is Day 5. The arrival day of Nice is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Frankfurt, Prague, Milan, Barcelona] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Salzburg to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Nice (Day 13 - 17).\n   |- The departure day of Frankfurt is Day 9. The arrival day of Nice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Salzburg, Frankfurt].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Prague, Milan, Barcelona] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Frankfurt to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Frankfurt to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Vilnius is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Frankfurt, Vilnius].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Prague, Milan, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Vilnius to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vilnius to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vilnius to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 17).\n       |- The departure day of Milan is Day 11. The arrival day of Nice is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Frankfurt, Vilnius, Milan].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Prague, Barcelona] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Milan to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Milan to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 13 - 17).\n         |- The departure day of Prague is Day 12. The arrival day of Nice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Salzburg, Frankfurt, Vilnius, Milan, Prague].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Barcelona] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Prague to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Prague to Barcelona.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Milan to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Frankfurt to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Prague is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Frankfurt, Prague].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Milan, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Prague to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Prague to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Prague to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Milan is Day 10. The arrival day of Nice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Frankfurt, Milan].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Prague, Barcelona] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Milan to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Milan to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 13 - 17).\n       |- The departure day of Prague is Day 11. The arrival day of Nice is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Frankfurt, Milan, Prague].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Barcelona] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Prague to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Prague to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Prague to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Milan to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Frankfurt to Barcelona.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 13 - 17).\n     |- The departure day of Barcelona is Day 13. The arrival day of Nice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Salzburg, Frankfurt, Barcelona].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Nice.\n       |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Barcelona to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 20 - 23).\n       |- The departure day of Nice is Day 17. The arrival day of Oslo is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Salzburg, Frankfurt, Barcelona, Nice].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Vilnius, Prague, Milan] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n         |- Check for direct flight from Nice to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Oslo (Day 20 - 23).\n         |- The departure day of Brussels is Day 20. The arrival day of Oslo is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- Yes. The city with an arrival day of Day 20 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n           |- Check for direct flight from Brussels to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Krakow (Day 26 - 30).\n           |- The departure day of Oslo is Day 23. The arrival day of Krakow is Day 26. Day 23 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels, Oslo].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Prague, Milan] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n             |- Check for direct flight from Oslo to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Krakow (Day 26 - 30).\n             |- The departure day of Vilnius is Day 24. The arrival day of Krakow is Day 26. Day 24 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels, Oslo, Vilnius].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague, Milan] and explore these options in order.\n               |- Try arranging to visit Prague from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Vilnius to Prague.\n               |- No. Drop this branch.\n               |- Try arranging to visit Milan from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Vilnius to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Krakow (Day 26 - 30).\n               |- The departure day of Milan is Day 25. The arrival day of Krakow is Day 26. Day 25 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels, Oslo, Vilnius, Milan].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n                 |- Try arranging to visit Prague from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                 |- Check for direct flight from Milan to Prague.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Krakow (Day 26 - 30).\n                 |- The departure day of Prague is Day 26. The arrival day of Krakow is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels, Oslo, Vilnius, Milan, Prague].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Krakow.\n                   |- Try arranging to visit Krakow from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                   |- Check for direct flight from Prague to Krakow.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Salzburg, Frankfurt, Barcelona, Nice, Brussels, Oslo, Vilnius, Milan, Prague, Krakow].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Frankfurt.\n**Day 5-9:** Visit Frankfurt for 5 days.\n**Day 9:** Fly from Frankfurt to Barcelona.\n**Day 9-13:** Visit Barcelona for 5 days.\n**Day 13:** Fly from Barcelona to Nice.\n**Day 13-17:** Visit Nice for 5 days.\n**Day 17:** Fly from Nice to Brussels.\n**Day 17-20:** Visit Brussels for 4 days.\n**Day 20:** Fly from Brussels to Oslo.\n**Day 20-23:** Visit Oslo for 4 days.\n**Day 23:** Fly from Oslo to Vilnius.\n**Day 23-24:** Visit Vilnius for 2 days.\n**Day 24:** Fly from Vilnius to Milan.\n**Day 24-25:** Visit Milan for 2 days.\n**Day 25:** Fly from Milan to Prague.\n**Day 25-26:** Visit Prague for 2 days.\n**Day 26:** Fly from Prague to Krakow.\n**Day 26-30:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Amsterdam**Berlin**Reykjavik**Brussels**Lyon**Split**Hamburg**Manchester**Dubrovnik",
    "ground_truth_durations": "5**2**5**2**2**4**2**4**2**3",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 11,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Berlin",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 6 and day 10. You plan to stay in Manchester for 2 days. During day 19 and day 20, you have to attend a conference in Manchester. You plan to stay in Amsterdam for 2 days. You would like to visit Hamburg for 4 days. You would like to visit Brussels for 2 days. You have to attend a workshop in Brussels between day 11 and day 12. You would like to visit Dubrovnik for 3 days. You want to spend 5 days in Munich. You want to meet a friend in Munich between day 1 and day 5. You would like to visit Split for 2 days. You are going to attend a wedding in Split between day 15 and day 16. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nAmsterdam and Dubrovnik, Munich and Split, Munich and Hamburg, Brussels and Lyon, Munich and Brussels, Lyon and Split, Manchester and Dubrovnik, Berlin and Brussels, Berlin and Manchester, Reykjavik and Brussels, Amsterdam and Manchester, Amsterdam and Hamburg, Munich and Lyon, from Manchester to Split, Hamburg and Manchester, Munich and Manchester, Brussels and Hamburg, Amsterdam and Berlin, Split and Hamburg, Munich and Dubrovnik, Berlin and Reykjavik, Munich and Berlin, Brussels and Manchester, Amsterdam and Lyon, Munich and Reykjavik, Amsterdam and Reykjavik, Munich and Amsterdam, Amsterdam and Split, Berlin and Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Reykjavik. You plan to stay in Berlin for 5 days. You plan to visit relatives in Berlin between day 6 and day 10. You plan to stay in Manchester for 2 days. During day 19 and day 20, you have to attend a conference in Manchester. You plan to stay in Amsterdam for 2 days. You would like to visit Hamburg for 4 days. You would like to visit Brussels for 2 days. You have to attend a workshop in Brussels between day 11 and day 12. You would like to visit Dubrovnik for 3 days. You want to spend 5 days in Munich. You want to meet a friend in Munich between day 1 and day 5. You would like to visit Split for 2 days. You are going to attend a wedding in Split between day 15 and day 16. You would like to visit Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Dubrovnik, from Munich to Split, from Munich to Hamburg, from Brussels to Lyon, from Munich to Brussels, from Lyon to Split, from Manchester to Dubrovnik, from Berlin to Brussels, from Berlin to Manchester, from Reykjavik to Brussels, from Amsterdam to Manchester, from Amsterdam to Hamburg, from Munich to Lyon, from Manchester to Split, from Hamburg to Manchester, from Munich to Manchester, from Brussels to Hamburg, from Amsterdam to Berlin, from Split to Hamburg, from Munich to Dubrovnik, from Berlin to Reykjavik, from Munich to Berlin, from Brussels to Manchester, from Amsterdam to Lyon, from Munich to Reykjavik, from Amsterdam to Reykjavik, from Munich to Amsterdam, from Amsterdam to Split, from Berlin to Split.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Brussels.\n**Day 11-12:** Visit Brussels for 2 days.\n**Day 12:** Fly from Brussels to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Hamburg.\n**Day 16-19:** Visit Hamburg for 4 days.\n**Day 19:** Fly from Hamburg to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.\n**Day 20:** Fly from Manchester to Dubrovnik.\n**Day 20-22:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1494",
    "estimated_output_tokens": 3134,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 2 days.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Amsterdam, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n* City: Dubrovnik, Duration: 3 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 5.\n* City: Berlin, Fixed Schedule: Day 6 - 10.\n* City: Brussels, Fixed Schedule: Day 11 - 12.\n* City: Split, Fixed Schedule: Day 15 - 16.\n* City: Manchester, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 6 - 10).\n |- The departure day of Munich is Day 5. The arrival day of Berlin is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Amsterdam, Hamburg, Dubrovnik, Lyon] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 6 - 10).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Berlin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Reykjavik to Berlin.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Munich to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 6 - 10).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Berlin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Berlin.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 11 - 12).\n     |- The departure day of Berlin is Day 10. The arrival day of Brussels is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Munich, Amsterdam, Berlin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Hamburg, Dubrovnik, Lyon] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Berlin to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 11 - 12).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Brussels is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Munich, Amsterdam, Berlin, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Brussels.\n         |- Try arranging to visit Brussels from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 15 - 16).\n         |- The departure day of Brussels is Day 12. The arrival day of Split is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik, Lyon] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Brussels to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 15 - 16).\n           |- The departure day of Hamburg is Day 15. The arrival day of Split is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Hamburg].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Split.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Hamburg to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Brussels to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Brussels to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Split (Day 15 - 16).\n           |- The departure day of Lyon is Day 15. The arrival day of Split is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Lyon].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Split.\n             |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Lyon to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 19 - 20).\n             |- The departure day of Split is Day 16. The arrival day of Manchester is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Lyon, Split].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Split to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Manchester (Day 19 - 20).\n               |- The departure day of Hamburg is Day 19. The arrival day of Manchester is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Lyon, Split, Hamburg].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Manchester.\n                 |- Try arranging to visit Manchester from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Hamburg to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Lyon, Split, Hamburg, Manchester].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                   |- Check for direct flight from Manchester to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Munich, Amsterdam, Berlin, Reykjavik, Brussels, Lyon, Split, Hamburg, Manchester, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Munich and visit Munich for 5 days.\n**Day 5:** Fly from Munich to Amsterdam.\n**Day 5-6:** Visit Amsterdam for 2 days.\n**Day 6:** Fly from Amsterdam to Berlin.\n**Day 6-10:** Visit Berlin for 5 days.\n**Day 10:** Fly from Berlin to Reykjavik.\n**Day 10-11:** Visit Reykjavik for 2 days.\n**Day 11:** Fly from Reykjavik to Brussels.\n**Day 11-12:** Visit Brussels for 2 days.\n**Day 12:** Fly from Brussels to Lyon.\n**Day 12-15:** Visit Lyon for 4 days.\n**Day 15:** Fly from Lyon to Split.\n**Day 15-16:** Visit Split for 2 days.\n**Day 16:** Fly from Split to Hamburg.\n**Day 16-19:** Visit Hamburg for 4 days.\n**Day 19:** Fly from Hamburg to Manchester.\n**Day 19-20:** Visit Manchester for 2 days.\n**Day 20:** Fly from Manchester to Dubrovnik.\n**Day 20-22:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Munich**Dubrovnik**Barcelona**Venice**Lyon**Valencia**Geneva**Warsaw**Tallinn",
    "ground_truth_durations": "5**4**3**2**4**4**4**4**5**3",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Munich",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You plan to stay in Geneva for 4 days. You want to meet a friend in Geneva between day 20 and day 23. You plan to stay in Dubrovnik for 3 days. You have to attend a workshop in Dubrovnik between day 8 and day 10. You want to spend 5 days in Warsaw. You plan to stay in Tallinn for 3 days. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 1 and day 5. You would like to visit Valencia for 4 days. You plan to visit relatives in Valencia between day 17 and day 20. You plan to stay in Barcelona for 2 days. From day 10 to day 11, there is a annual show you want to attend in Barcelona. You plan to stay in Munich for 4 days. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nValencia and Warsaw, Munich and Dubrovnik, Geneva and Warsaw, Dubrovnik and Barcelona, Barcelona and Warsaw, Munich and Barcelona, Barcelona and Tallinn, Munich and Lyon, Lyon and Valencia, Valencia and Geneva, Barcelona and Geneva, Munich and Venice, Dubrovnik and Geneva, Munich and Tallinn, Venice and Lyon, Barcelona and Lyon, Munich and Warsaw, from Vilnius to Munich, Munich and Valencia, Warsaw and Tallinn, Barcelona and Venice, Munich and Geneva, Vilnius and Warsaw, Barcelona and Valencia, Venice and Warsaw, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 4 days. You plan to stay in Geneva for 4 days. You want to meet a friend in Geneva between day 20 and day 23. You plan to stay in Dubrovnik for 3 days. You have to attend a workshop in Dubrovnik between day 8 and day 10. You want to spend 5 days in Warsaw. You plan to stay in Tallinn for 3 days. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 1 and day 5. You would like to visit Valencia for 4 days. You plan to visit relatives in Valencia between day 17 and day 20. You plan to stay in Barcelona for 2 days. From day 10 to day 11, there is a annual show you want to attend in Barcelona. You plan to stay in Munich for 4 days. You would like to visit Venice for 4 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Warsaw, from Munich to Dubrovnik, from Geneva to Warsaw, from Dubrovnik to Barcelona, from Barcelona to Warsaw, from Munich to Barcelona, from Barcelona to Tallinn, from Munich to Lyon, from Lyon to Valencia, from Valencia to Geneva, from Barcelona to Geneva, from Munich to Venice, from Dubrovnik to Geneva, from Munich to Tallinn, from Venice to Lyon, from Barcelona to Lyon, from Munich to Warsaw, from Vilnius to Munich, from Munich to Valencia, from Warsaw to Tallinn, from Barcelona to Venice, from Munich to Geneva, from Vilnius to Warsaw, from Barcelona to Valencia, from Venice to Warsaw, from Tallinn to Vilnius.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.\n**Day 10:** Fly from Dubrovnik to Barcelona.\n**Day 10-11:** Visit Barcelona for 2 days.\n**Day 11:** Fly from Barcelona to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Lyon.\n**Day 14-17:** Visit Lyon for 4 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-20:** Visit Valencia for 4 days.\n**Day 20:** Fly from Valencia to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Warsaw.\n**Day 23-27:** Visit Warsaw for 5 days.\n**Day 27:** Fly from Warsaw to Tallinn.\n**Day 27-29:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1495",
    "estimated_output_tokens": 4054,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 4 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Warsaw, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Barcelona, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Munich, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 5.\n* City: Dubrovnik, Fixed Schedule: Day 8 - 10.\n* City: Barcelona, Fixed Schedule: Day 10 - 11.\n* City: Valencia, Fixed Schedule: Day 17 - 20.\n* City: Geneva, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 8 - 10).\n |- The departure day of Vilnius is Day 5. The arrival day of Dubrovnik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Warsaw, Tallinn, Munich, Venice] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vilnius to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 10).\n   |- The departure day of Warsaw is Day 9. The arrival day of Dubrovnik is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Vilnius to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Vilnius to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 8 - 10).\n   |- The departure day of Munich is Day 8. The arrival day of Dubrovnik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Vilnius, Munich].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Barcelona (Day 10 - 11).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Barcelona is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vilnius, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Barcelona.\n       |- Try arranging to visit Barcelona from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Dubrovnik to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 17 - 20).\n       |- The departure day of Barcelona is Day 11. The arrival day of Valencia is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Warsaw, Tallinn, Venice] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Barcelona to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 20).\n         |- The departure day of Lyon is Day 14. The arrival day of Valencia is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Lyon].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Venice] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Lyon to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Lyon to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Lyon to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Barcelona to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 20).\n         |- The departure day of Warsaw is Day 15. The arrival day of Valencia is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Venice] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Warsaw to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Warsaw to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 17 - 20).\n           |- The departure day of Tallinn is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Warsaw, Tallinn].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Tallinn to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Venice from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Warsaw to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Barcelona to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 20).\n         |- The departure day of Tallinn is Day 13. The arrival day of Valencia is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Warsaw, Venice] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Venice from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Venice from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Barcelona to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Valencia (Day 17 - 20).\n         |- The departure day of Venice is Day 14. The arrival day of Valencia is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Warsaw, Tallinn] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Venice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Valencia (Day 17 - 20).\n           |- The departure day of Lyon is Day 17. The arrival day of Valencia is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Lyon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Geneva (Day 20 - 23).\n             |- The departure day of Valencia is Day 20. The arrival day of Geneva is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice, Lyon, Valencia].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Valencia to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice, Lyon, Valencia, Geneva].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n                 |- Try arranging to visit Warsaw from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Geneva to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice, Lyon, Valencia, Geneva, Warsaw].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                   |- Check for direct flight from Warsaw to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Vilnius, Munich, Dubrovnik, Barcelona, Venice, Lyon, Valencia, Geneva, Warsaw, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vilnius and visit Vilnius for 5 days.\n**Day 5:** Fly from Vilnius to Munich.\n**Day 5-8:** Visit Munich for 4 days.\n**Day 8:** Fly from Munich to Dubrovnik.\n**Day 8-10:** Visit Dubrovnik for 3 days.\n**Day 10:** Fly from Dubrovnik to Barcelona.\n**Day 10-11:** Visit Barcelona for 2 days.\n**Day 11:** Fly from Barcelona to Venice.\n**Day 11-14:** Visit Venice for 4 days.\n**Day 14:** Fly from Venice to Lyon.\n**Day 14-17:** Visit Lyon for 4 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-20:** Visit Valencia for 4 days.\n**Day 20:** Fly from Valencia to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Warsaw.\n**Day 23-27:** Visit Warsaw for 5 days.\n**Day 27:** Fly from Warsaw to Tallinn.\n**Day 27-29:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Madrid**Stockholm**Krakow**Edinburgh**Venice**London**Barcelona**Helsinki",
    "ground_truth_durations": "2**5**5**2**4**3**3**4**5**2",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 25,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Hamburg",
        "Madrid"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Krakow",
        "London"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Madrid",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Helsinki"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "Madrid",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You would like to visit Barcelona for 5 days. You are going to attend a wedding in Barcelona between day 21 and day 25. You plan to stay in Helsinki for 2 days. From day 25 to day 26, there is a annual show you want to attend in Helsinki. You would like to visit Hamburg for 5 days. You plan to visit relatives in Hamburg between day 2 and day 6. You want to spend 3 days in Venice. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 10 and day 11. You plan to stay in Madrid for 5 days. You plan to stay in London for 4 days. During day 18 and day 21, you have to attend a conference in London. You would like to visit Edinburgh for 3 days. You plan to stay in Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nHamburg and Barcelona, Madrid and Helsinki, Hamburg and Venice, Hamburg and Helsinki, Krakow and Helsinki, Venice and London, Krakow and Edinburgh, Stockholm and London, Stockholm and Krakow, Madrid and Venice, Hamburg and Madrid, Venice and Barcelona, Hamburg and Edinburgh, Hamburg and Stockholm, Edinburgh and London, Krakow and London, Barcelona and Helsinki, Edinburgh and Barcelona, London and Helsinki, Stockholm and Barcelona, Madrid and London, London and Barcelona, Madrid and Barcelona, Edinburgh and Helsinki, Stockholm and Helsinki, Venice and Helsinki, Madrid and Edinburgh, Stockholm and Edinburgh, Salzburg and Hamburg, Edinburgh and Venice, Krakow and Barcelona, Hamburg and London, Madrid and Stockholm.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Krakow. You would like to visit Barcelona for 5 days. You are going to attend a wedding in Barcelona between day 21 and day 25. You plan to stay in Helsinki for 2 days. From day 25 to day 26, there is a annual show you want to attend in Helsinki. You would like to visit Hamburg for 5 days. You plan to visit relatives in Hamburg between day 2 and day 6. You want to spend 3 days in Venice. You would like to visit Stockholm for 2 days. You want to meet a friend in Stockholm between day 10 and day 11. You plan to stay in Madrid for 5 days. You plan to stay in London for 4 days. During day 18 and day 21, you have to attend a conference in London. You would like to visit Edinburgh for 3 days. You plan to stay in Salzburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Barcelona, from Madrid to Helsinki, from Hamburg to Venice, from Hamburg to Helsinki, from Krakow to Helsinki, from Venice to London, from Krakow to Edinburgh, from Stockholm to London, from Stockholm to Krakow, from Madrid to Venice, from Hamburg to Madrid, from Venice to Barcelona, from Hamburg to Edinburgh, from Hamburg to Stockholm, from Edinburgh to London, from Krakow to London, from Barcelona to Helsinki, from Edinburgh to Barcelona, from London to Helsinki, from Stockholm to Barcelona, from Madrid to London, from London to Barcelona, from Madrid to Barcelona, from Edinburgh to Helsinki, from Stockholm to Helsinki, from Venice to Helsinki, from Madrid to Edinburgh, from Stockholm to Edinburgh, from Salzburg to Hamburg, from Edinburgh to Venice, from Krakow to Barcelona, from Hamburg to London, from Madrid to Stockholm.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-6:** Visit Hamburg for 5 days.\n**Day 6:** Fly from Hamburg to Madrid.\n**Day 6-10:** Visit Madrid for 5 days.\n**Day 10:** Fly from Madrid to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Venice.\n**Day 16-18:** Visit Venice for 3 days.\n**Day 18:** Fly from Venice to London.\n**Day 18-21:** Visit London for 4 days.\n**Day 21:** Fly from London to Barcelona.\n**Day 21-25:** Visit Barcelona for 5 days.\n**Day 25:** Fly from Barcelona to Helsinki.\n**Day 25-26:** Visit Helsinki for 2 days.",
    "id": "trip_planning_example_1496",
    "estimated_output_tokens": 3424,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Krakow, Duration: 4 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 25 - 26.\n* City: Hamburg, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Venice, Duration: 3 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Madrid, Duration: 5 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Edinburgh, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Hamburg, Fixed Schedule: Day 2 - 6.\n* City: Stockholm, Fixed Schedule: Day 10 - 11.\n* City: London, Fixed Schedule: Day 18 - 21.\n* City: Barcelona, Fixed Schedule: Day 21 - 25.\n* City: Helsinki, Fixed Schedule: Day 25 - 26.\n\nCities needing arrangement:\n* City: Krakow, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Madrid, Duration: 5 days.\n* City: Edinburgh, Duration: 3 days.\n* City: Salzburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Krakow, Venice, Madrid, Edinburgh, Salzburg] and explore these options in order.\n |- Try arranging to visit Krakow from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 6).\n |- The departure day of Krakow is Day 4. The arrival day of Hamburg is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 6).\n |- The departure day of Venice is Day 3. The arrival day of Hamburg is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 6).\n |- The departure day of Madrid is Day 5. The arrival day of Hamburg is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 6).\n |- The departure day of Edinburgh is Day 3. The arrival day of Hamburg is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Hamburg (Day 2 - 6).\n |- The departure day of Salzburg is Day 2. The arrival day of Hamburg is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Hamburg.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Stockholm (Day 10 - 11).\n   |- The departure day of Hamburg is Day 6. The arrival day of Stockholm is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Madrid, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Krakow from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Hamburg to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Hamburg to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stockholm (Day 10 - 11).\n     |- The departure day of Venice is Day 8. The arrival day of Stockholm is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Salzburg, Hamburg, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Madrid, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Hamburg to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stockholm (Day 10 - 11).\n     |- The departure day of Madrid is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Hamburg, Madrid].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Madrid to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: London (Day 18 - 21).\n       |- The departure day of Stockholm is Day 11. The arrival day of London is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Salzburg, Hamburg, Madrid, Stockholm].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Venice, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Stockholm to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: London (Day 18 - 21).\n         |- The departure day of Krakow is Day 14. The arrival day of London is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Edinburgh] and explore these options in order.\n           |- Try arranging to visit Venice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Krakow to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Krakow to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: London (Day 18 - 21).\n           |- The departure day of Edinburgh is Day 16. The arrival day of London is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow, Edinburgh].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n             |- Try arranging to visit Venice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Edinburgh to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: London (Day 18 - 21).\n             |- The departure day of Venice is Day 18. The arrival day of London is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow, Edinburgh, Venice].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: London.\n               |- Try arranging to visit London from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Venice to London.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Barcelona (Day 21 - 25).\n               |- The departure day of London is Day 21. The arrival day of Barcelona is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow, Edinburgh, Venice, London].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Barcelona.\n                 |- Try arranging to visit Barcelona from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from London to Barcelona.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Helsinki (Day 25 - 26).\n                 |- The departure day of Barcelona is Day 25. The arrival day of Helsinki is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow, Edinburgh, Venice, London, Barcelona].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Helsinki.\n                   |- Try arranging to visit Helsinki from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                   |- Check for direct flight from Barcelona to Helsinki.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Salzburg, Hamburg, Madrid, Stockholm, Krakow, Edinburgh, Venice, London, Barcelona, Helsinki].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Hamburg.\n**Day 2-6:** Visit Hamburg for 5 days.\n**Day 6:** Fly from Hamburg to Madrid.\n**Day 6-10:** Visit Madrid for 5 days.\n**Day 10:** Fly from Madrid to Stockholm.\n**Day 10-11:** Visit Stockholm for 2 days.\n**Day 11:** Fly from Stockholm to Krakow.\n**Day 11-14:** Visit Krakow for 4 days.\n**Day 14:** Fly from Krakow to Edinburgh.\n**Day 14-16:** Visit Edinburgh for 3 days.\n**Day 16:** Fly from Edinburgh to Venice.\n**Day 16-18:** Visit Venice for 3 days.\n**Day 18:** Fly from Venice to London.\n**Day 18-21:** Visit London for 4 days.\n**Day 21:** Fly from London to Barcelona.\n**Day 21-25:** Visit Barcelona for 5 days.\n**Day 25:** Fly from Barcelona to Helsinki.\n**Day 25-26:** Visit Helsinki for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Prague**Brussels**Bucharest**Frankfurt**Dubrovnik**Helsinki**Vilnius**Berlin**Stuttgart",
    "ground_truth_durations": "2**3**2**3**4**5**2**4**5**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Helsinki"
      ],
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Lyon",
        "Prague"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Lyon",
        "Brussels"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Vilnius"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 18 and day 22 to tour together. You would like to visit Vilnius for 4 days. You would like to visit Lyon for 2 days. You plan to stay in Brussels for 2 days. During day 4 and day 5, you have to attend a conference in Brussels. You want to spend 3 days in Stuttgart. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You would like to visit Prague for 3 days. You are going to attend a wedding in Prague between day 2 and day 4. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Helsinki. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nBerlin and Stuttgart, Prague and Brussels, Helsinki and Berlin, Prague and Helsinki, Bucharest and Frankfurt, from Brussels to Frankfurt, Frankfurt and Helsinki, Brussels and Helsinki, Dubrovnik and Helsinki, Brussels and Vilnius, Lyon and Prague, Lyon and Bucharest, Prague and Frankfurt, Prague and Bucharest, Lyon and Brussels, Lyon and Frankfurt, Brussels and Bucharest, Vilnius and Berlin, Frankfurt and Dubrovnik, Helsinki and Vilnius, Brussels and Berlin, Frankfurt and Berlin, Frankfurt and Stuttgart, Frankfurt and Vilnius.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Berlin. You would like to meet your friends at Berlin between day 18 and day 22 to tour together. You would like to visit Vilnius for 4 days. You would like to visit Lyon for 2 days. You plan to stay in Brussels for 2 days. During day 4 and day 5, you have to attend a conference in Brussels. You want to spend 3 days in Stuttgart. You plan to stay in Bucharest for 3 days. You have to attend a workshop in Bucharest between day 5 and day 7. You would like to visit Prague for 3 days. You are going to attend a wedding in Prague between day 2 and day 4. You plan to stay in Dubrovnik for 5 days. You want to spend 2 days in Helsinki. You would like to visit Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Berlin to Stuttgart, from Prague to Brussels, from Helsinki to Berlin, from Prague to Helsinki, from Bucharest to Frankfurt, from Brussels to Frankfurt, from Frankfurt to Helsinki, from Brussels to Helsinki, from Dubrovnik to Helsinki, from Brussels to Vilnius, from Lyon to Prague, from Lyon to Bucharest, from Prague to Frankfurt, from Prague to Bucharest, from Lyon to Brussels, from Lyon to Frankfurt, from Brussels to Bucharest, from Vilnius to Berlin, from Frankfurt to Dubrovnik, from Helsinki to Vilnius, from Brussels to Berlin, from Frankfurt to Berlin, from Frankfurt to Stuttgart, from Frankfurt to Vilnius.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Brussels.\n**Day 4-5:** Visit Brussels for 2 days.\n**Day 5:** Fly from Brussels to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.\n**Day 15:** Fly from Helsinki to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Berlin.\n**Day 18-22:** Visit Berlin for 5 days.\n**Day 22:** Fly from Berlin to Stuttgart.\n**Day 22-24:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1497",
    "estimated_output_tokens": 3716,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Vilnius, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Stuttgart, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Dubrovnik, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 2 - 4.\n* City: Brussels, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Fixed Schedule: Day 5 - 7.\n* City: Berlin, Fixed Schedule: Day 18 - 22.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 4 days.\n* City: Lyon, Duration: 2 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Helsinki, Duration: 2 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Stuttgart, Dubrovnik, Helsinki, Frankfurt] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Vilnius is Day 4. The arrival day of Prague is Day 2. Day 4 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 2 - 4).\n |- The departure day of Lyon is Day 2. The arrival day of Prague is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Brussels (Day 4 - 5).\n   |- The departure day of Prague is Day 4. The arrival day of Brussels is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Prague].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Prague to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Bucharest (Day 5 - 7).\n     |- The departure day of Brussels is Day 5. The arrival day of Bucharest is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Lyon, Prague, Brussels].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Bucharest.\n       |- Try arranging to visit Bucharest from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Brussels to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 18 - 22).\n       |- The departure day of Bucharest is Day 7. The arrival day of Berlin is Day 18. Day 7 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Lyon, Prague, Brussels, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart, Dubrovnik, Helsinki, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Bucharest to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Bucharest to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Bucharest to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Berlin (Day 18 - 22).\n         |- The departure day of Frankfurt is Day 10. The arrival day of Berlin is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart, Dubrovnik, Helsinki] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Frankfurt to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 18 - 22).\n           |- The departure day of Vilnius is Day 13. The arrival day of Berlin is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Vilnius].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stuttgart, Dubrovnik, Helsinki] and explore these options in order.\n             |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Vilnius to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Vilnius to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Vilnius to Helsinki.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Frankfurt to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 18 - 22).\n           |- The departure day of Stuttgart is Day 12. The arrival day of Berlin is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Stuttgart].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik, Helsinki] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n             |- Check for direct flight from Stuttgart to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Stuttgart to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Stuttgart to Helsinki.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Frankfurt to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 18 - 22).\n           |- The departure day of Dubrovnik is Day 14. The arrival day of Berlin is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart, Helsinki] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Dubrovnik to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Dubrovnik to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Dubrovnik to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Berlin (Day 18 - 22).\n             |- The departure day of Helsinki is Day 15. The arrival day of Berlin is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Dubrovnik, Helsinki].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Helsinki to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Berlin (Day 18 - 22).\n               |- The departure day of Vilnius is Day 18. The arrival day of Berlin is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Dubrovnik, Helsinki, Vilnius].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Berlin.\n                 |- Try arranging to visit Berlin from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Vilnius to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Dubrovnik, Helsinki, Vilnius, Berlin].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                   |- Try arranging to visit Stuttgart from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Berlin to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Lyon, Prague, Brussels, Bucharest, Frankfurt, Dubrovnik, Helsinki, Vilnius, Berlin, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Prague.\n**Day 2-4:** Visit Prague for 3 days.\n**Day 4:** Fly from Prague to Brussels.\n**Day 4-5:** Visit Brussels for 2 days.\n**Day 5:** Fly from Brussels to Bucharest.\n**Day 5-7:** Visit Bucharest for 3 days.\n**Day 7:** Fly from Bucharest to Frankfurt.\n**Day 7-10:** Visit Frankfurt for 4 days.\n**Day 10:** Fly from Frankfurt to Dubrovnik.\n**Day 10-14:** Visit Dubrovnik for 5 days.\n**Day 14:** Fly from Dubrovnik to Helsinki.\n**Day 14-15:** Visit Helsinki for 2 days.\n**Day 15:** Fly from Helsinki to Vilnius.\n**Day 15-18:** Visit Vilnius for 4 days.\n**Day 18:** Fly from Vilnius to Berlin.\n**Day 18-22:** Visit Berlin for 5 days.\n**Day 22:** Fly from Berlin to Stuttgart.\n**Day 22-24:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Barcelona**Riga**Vilnius**Berlin**Lisbon**Venice**Naples**Split**Stockholm",
    "ground_truth_durations": "5**2**3**2**5**5**3**2**5**4",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Vilnius",
        "Berlin"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Naples",
        "Split"
      ],
      [
        "Berlin",
        "Lisbon"
      ],
      [
        "Riga",
        "Lisbon"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Barcelona",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You want to spend 5 days in Santorini. You would like to visit Venice for 3 days. You want to meet a friend in Venice between day 17 and day 19. You plan to stay in Naples for 2 days. You plan to stay in Berlin for 5 days. You plan to stay in Lisbon for 5 days. You want to spend 2 days in Vilnius. You would like to meet your friends at Vilnius between day 8 and day 9 to tour together. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 20 and day 24. You plan to stay in Stockholm for 4 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, Barcelona and Stockholm, Berlin and Naples, Santorini and Venice, Riga and Stockholm, Barcelona and Lisbon, Berlin and Venice, Vilnius and Berlin, Venice and Naples, Naples and Split, Berlin and Lisbon, Riga and Lisbon, Barcelona and Split, Barcelona and Naples, Santorini and Barcelona, Riga and Berlin, Berlin and Stockholm, Berlin and Split, from Stockholm to Santorini, Split and Stockholm, Barcelona and Riga, Lisbon and Naples, Lisbon and Venice, Lisbon and Stockholm, Santorini and Naples, Vilnius and Split, Barcelona and Venice, Barcelona and Berlin.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Riga for 3 days. You want to spend 5 days in Santorini. You would like to visit Venice for 3 days. You want to meet a friend in Venice between day 17 and day 19. You plan to stay in Naples for 2 days. You plan to stay in Berlin for 5 days. You plan to stay in Lisbon for 5 days. You want to spend 2 days in Vilnius. You would like to meet your friends at Vilnius between day 8 and day 9 to tour together. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 20 and day 24. You plan to stay in Stockholm for 4 days. You would like to visit Barcelona for 2 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Vilnius, from Barcelona to Stockholm, from Berlin to Naples, from Santorini to Venice, from Riga to Stockholm, from Barcelona to Lisbon, from Berlin to Venice, from Vilnius to Berlin, from Venice to Naples, from Naples to Split, from Berlin to Lisbon, from Riga to Lisbon, from Barcelona to Split, from Barcelona to Naples, from Santorini to Barcelona, from Riga to Berlin, from Berlin to Stockholm, from Berlin to Split, from Stockholm to Santorini, from Split to Stockholm, from Barcelona to Riga, from Lisbon to Naples, from Lisbon to Venice, from Lisbon to Stockholm, from Santorini to Naples, from Vilnius to Split, from Barcelona to Venice, from Barcelona to Berlin.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Lisbon.\n**Day 13-17:** Visit Lisbon for 5 days.\n**Day 17:** Fly from Lisbon to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Naples.\n**Day 19-20:** Visit Naples for 2 days.\n**Day 20:** Fly from Naples to Split.\n**Day 20-24:** Visit Split for 5 days.\n**Day 24:** Fly from Split to Stockholm.\n**Day 24-27:** Visit Stockholm for 4 days.",
    "id": "trip_planning_example_1498",
    "estimated_output_tokens": 6014,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Naples, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Stockholm, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 8 - 9.\n* City: Venice, Fixed Schedule: Day 17 - 19.\n* City: Split, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Naples, Duration: 2 days.\n* City: Berlin, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Stockholm, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Riga, Santorini, Naples, Berlin, Lisbon, Stockholm, Barcelona] and explore these options in order.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 8 - 9).\n |- The departure day of Riga is Day 3. The arrival day of Vilnius is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Naples, Berlin, Lisbon, Stockholm, Barcelona] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 8 - 9).\n   |- The departure day of Berlin is Day 7. The arrival day of Vilnius is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Naples, Lisbon, Stockholm, Barcelona] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Berlin to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n     |- The departure day of Naples is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Berlin, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Naples to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Berlin to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n     |- The departure day of Lisbon is Day 11. The arrival day of Vilnius is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Berlin to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n     |- The departure day of Stockholm is Day 10. The arrival day of Vilnius is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Berlin to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 8 - 9).\n   |- The departure day of Lisbon is Day 7. The arrival day of Vilnius is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Naples, Berlin, Stockholm, Barcelona] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n     |- The departure day of Naples is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Riga, Lisbon, Naples].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Naples to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Lisbon to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 8 - 9).\n     |- The departure day of Stockholm is Day 10. The arrival day of Vilnius is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Lisbon to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Riga to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Vilnius (Day 8 - 9).\n   |- The departure day of Stockholm is Day 6. The arrival day of Vilnius is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Riga, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Naples, Berlin, Lisbon, Barcelona] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 8 - 9).\n     |- The departure day of Santorini is Day 10. The arrival day of Vilnius is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Riga to Barcelona.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 8 - 9).\n |- The departure day of Santorini is Day 5. The arrival day of Vilnius is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Naples, Berlin, Lisbon, Stockholm, Barcelona] and explore these options in order.\n   |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 8 - 9).\n   |- The departure day of Naples is Day 6. The arrival day of Vilnius is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Berlin, Lisbon, Stockholm, Barcelona] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Naples to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Naples to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Naples to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Santorini to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 8 - 9).\n   |- The departure day of Barcelona is Day 6. The arrival day of Vilnius is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Naples, Berlin, Lisbon, Stockholm] and explore these options in order.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Barcelona to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Vilnius (Day 8 - 9).\n     |- The departure day of Riga is Day 8. The arrival day of Vilnius is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Santorini, Barcelona, Riga].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Vilnius.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Riga to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 17 - 19).\n       |- The departure day of Vilnius is Day 9. The arrival day of Venice is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Santorini, Barcelona, Riga, Vilnius].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Naples, Berlin, Lisbon, Stockholm] and explore these options in order.\n         |- Try arranging to visit Naples from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Vilnius to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Vilnius to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 17 - 19).\n         |- The departure day of Berlin is Day 13. The arrival day of Venice is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Naples, Lisbon, Stockholm] and explore these options in order.\n           |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Berlin to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 17 - 19).\n           |- The departure day of Naples is Day 14. The arrival day of Venice is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Naples].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Lisbon, Stockholm] and explore these options in order.\n             |- Try arranging to visit Lisbon from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Naples to Lisbon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Naples to Stockholm.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Berlin to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Venice (Day 17 - 19).\n           |- The departure day of Lisbon is Day 17. The arrival day of Venice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Lisbon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Lisbon to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Split (Day 20 - 24).\n             |- The departure day of Venice is Day 19. The arrival day of Split is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Lisbon, Venice].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Naples, Stockholm] and explore these options in order.\n               |- Try arranging to visit Naples from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Venice to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Split (Day 20 - 24).\n               |- The departure day of Naples is Day 20. The arrival day of Split is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Lisbon, Venice, Naples].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Split.\n                 |- Try arranging to visit Split from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Naples to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Lisbon, Venice, Naples, Split].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n                   |- Try arranging to visit Stockholm from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                   |- Check for direct flight from Split to Stockholm.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Santorini, Barcelona, Riga, Vilnius, Berlin, Lisbon, Venice, Naples, Split, Stockholm].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Barcelona.\n**Day 5-6:** Visit Barcelona for 2 days.\n**Day 6:** Fly from Barcelona to Riga.\n**Day 6-8:** Visit Riga for 3 days.\n**Day 8:** Fly from Riga to Vilnius.\n**Day 8-9:** Visit Vilnius for 2 days.\n**Day 9:** Fly from Vilnius to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Lisbon.\n**Day 13-17:** Visit Lisbon for 5 days.\n**Day 17:** Fly from Lisbon to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Naples.\n**Day 19-20:** Visit Naples for 2 days.\n**Day 20:** Fly from Naples to Split.\n**Day 20-24:** Visit Split for 5 days.\n**Day 24:** Fly from Split to Stockholm.\n**Day 24-27:** Visit Stockholm for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Paris**Vienna**Dubrovnik**Madrid**Porto**Hamburg**Venice**Berlin**Krakow",
    "ground_truth_durations": "2**3**3**3**5**5**2**2**3**5",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 12,
        "end_day": 16
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Vienna"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Hamburg",
        "Venice"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Paris",
        "Madrid"
      ],
      [
        "Vienna",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Vienna",
        "Venice"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Valencia",
        "Berlin"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Valencia",
        "Madrid"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Madrid",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 3 days. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 20 and day 24 to tour together. You plan to stay in Hamburg for 2 days. You would like to visit Paris for 3 days. From day 2 to day 4, there is a annual show you want to attend in Paris. You would like to visit Berlin for 3 days. You want to spend 5 days in Madrid. You plan to visit relatives in Madrid between day 8 and day 12. You want to spend 2 days in Valencia. You plan to stay in Venice for 2 days. You plan to stay in Vienna for 3 days. You plan to stay in Porto for 5 days. You have to attend a workshop in Porto between day 12 and day 16.\n\nHere are the cities that have direct flights:\nParis and Vienna, Porto and Berlin, Valencia and Vienna, Vienna and Madrid, Paris and Venice, Paris and Hamburg, Vienna and Dubrovnik, Hamburg and Venice, Paris and Porto, Paris and Madrid, Vienna and Berlin, Dubrovnik and Madrid, Paris and Berlin, Venice and Berlin, Vienna and Krakow, Madrid and Porto, Valencia and Porto, Valencia and Paris, Madrid and Hamburg, Valencia and Krakow, Vienna and Venice, Vienna and Porto, Valencia and Berlin, Vienna and Hamburg, Valencia and Madrid, Madrid and Venice, Berlin and Krakow, Paris and Krakow, Porto and Hamburg, Madrid and Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 3 days. You want to spend 5 days in Krakow. You would like to meet your friends at Krakow between day 20 and day 24 to tour together. You plan to stay in Hamburg for 2 days. You would like to visit Paris for 3 days. From day 2 to day 4, there is a annual show you want to attend in Paris. You would like to visit Berlin for 3 days. You want to spend 5 days in Madrid. You plan to visit relatives in Madrid between day 8 and day 12. You want to spend 2 days in Valencia. You plan to stay in Venice for 2 days. You plan to stay in Vienna for 3 days. You plan to stay in Porto for 5 days. You have to attend a workshop in Porto between day 12 and day 16.\n\nHere are the cities that have direct flights:\nfrom Paris to Vienna, from Porto to Berlin, from Valencia to Vienna, from Vienna to Madrid, from Paris to Venice, from Paris to Hamburg, from Vienna to Dubrovnik, from Hamburg to Venice, from Paris to Porto, from Paris to Madrid, from Vienna to Berlin, from Dubrovnik to Madrid, from Paris to Berlin, from Venice to Berlin, from Vienna to Krakow, from Madrid to Porto, from Valencia to Porto, from Valencia to Paris, from Madrid to Hamburg, from Valencia to Krakow, from Vienna to Venice, from Vienna to Porto, from Valencia to Berlin, from Vienna to Hamburg, from Valencia to Madrid, from Madrid to Venice, from Berlin to Krakow, from Paris to Krakow, from Porto to Hamburg, from Madrid to Berlin.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Vienna.\n**Day 4-6:** Visit Vienna for 3 days.\n**Day 6:** Fly from Vienna to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Porto.\n**Day 12-16:** Visit Porto for 5 days.\n**Day 16:** Fly from Porto to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Venice.\n**Day 17-18:** Visit Venice for 2 days.\n**Day 18:** Fly from Venice to Berlin.\n**Day 18-20:** Visit Berlin for 3 days.\n**Day 20:** Fly from Berlin to Krakow.\n**Day 20-24:** Visit Krakow for 5 days.",
    "id": "trip_planning_example_1499",
    "estimated_output_tokens": 5160,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Hamburg, Duration: 2 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Berlin, Duration: 3 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Valencia, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 2 - 4.\n* City: Madrid, Fixed Schedule: Day 8 - 12.\n* City: Porto, Fixed Schedule: Day 12 - 16.\n* City: Krakow, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Venice, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Berlin, Valencia, Venice, Vienna] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 4).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Paris is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 4).\n |- The departure day of Hamburg is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Paris.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 4).\n |- The departure day of Berlin is Day 3. The arrival day of Paris is Day 2. Day 3 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 2 - 4).\n |- The departure day of Valencia is Day 2. The arrival day of Paris is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Madrid (Day 8 - 12).\n   |- The departure day of Paris is Day 4. The arrival day of Madrid is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Valencia, Paris].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Berlin, Venice, Vienna] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Paris to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 8 - 12).\n     |- The departure day of Hamburg is Day 5. The arrival day of Madrid is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Valencia, Paris, Hamburg].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Venice, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Hamburg to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Hamburg to Berlin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Hamburg to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 8 - 12).\n       |- The departure day of Venice is Day 6. The arrival day of Madrid is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Valencia, Paris, Hamburg, Venice].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Berlin, Vienna] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Venice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Venice to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 8 - 12).\n         |- The departure day of Berlin is Day 8. The arrival day of Madrid is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Valencia, Paris, Hamburg, Venice, Berlin].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Madrid.\n           |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Berlin to Madrid.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n         |- Check for direct flight from Venice to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Hamburg to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Paris to Berlin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 8 - 12).\n     |- The departure day of Berlin is Day 6. The arrival day of Madrid is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Paris, Berlin].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Venice, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Berlin to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Berlin to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Berlin to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Berlin to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 8 - 12).\n     |- The departure day of Venice is Day 5. The arrival day of Madrid is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Valencia, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Berlin, Vienna] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Venice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Venice to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Venice to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Madrid (Day 8 - 12).\n       |- The departure day of Berlin is Day 7. The arrival day of Madrid is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Valencia, Paris, Venice, Berlin].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Vienna] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Berlin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Berlin to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Berlin to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Venice to Vienna.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Paris to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Madrid (Day 8 - 12).\n     |- The departure day of Vienna is Day 6. The arrival day of Madrid is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Valencia, Paris, Vienna].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Hamburg, Berlin, Venice] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Vienna to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 8 - 12).\n       |- The departure day of Dubrovnik is Day 8. The arrival day of Madrid is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Valencia, Paris, Vienna, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Dubrovnik to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 12 - 16).\n         |- The departure day of Madrid is Day 12. The arrival day of Porto is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Madrid to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 20 - 24).\n           |- The departure day of Porto is Day 16. The arrival day of Krakow is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid, Porto].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Berlin, Venice] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Porto to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 20 - 24).\n             |- The departure day of Hamburg is Day 17. The arrival day of Krakow is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid, Porto, Hamburg].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Berlin, Venice] and explore these options in order.\n               |- Try arranging to visit Berlin from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Hamburg to Berlin.\n               |- No. Drop this branch.\n               |- Try arranging to visit Venice from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Hamburg to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Krakow (Day 20 - 24).\n               |- The departure day of Venice is Day 18. The arrival day of Krakow is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid, Porto, Hamburg, Venice].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Berlin] and explore these options in order.\n                 |- Try arranging to visit Berlin from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Venice to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Krakow (Day 20 - 24).\n                 |- The departure day of Berlin is Day 20. The arrival day of Krakow is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid, Porto, Hamburg, Venice, Berlin].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- Yes. The city with an arrival day of Day 20 - is fixed: Krakow.\n                   |- Try arranging to visit Krakow from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                   |- Check for direct flight from Berlin to Krakow.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Valencia, Paris, Vienna, Dubrovnik, Madrid, Porto, Hamburg, Venice, Berlin, Krakow].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Valencia and visit Valencia for 2 days.\n**Day 2:** Fly from Valencia to Paris.\n**Day 2-4:** Visit Paris for 3 days.\n**Day 4:** Fly from Paris to Vienna.\n**Day 4-6:** Visit Vienna for 3 days.\n**Day 6:** Fly from Vienna to Dubrovnik.\n**Day 6-8:** Visit Dubrovnik for 3 days.\n**Day 8:** Fly from Dubrovnik to Madrid.\n**Day 8-12:** Visit Madrid for 5 days.\n**Day 12:** Fly from Madrid to Porto.\n**Day 12-16:** Visit Porto for 5 days.\n**Day 16:** Fly from Porto to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Venice.\n**Day 17-18:** Visit Venice for 2 days.\n**Day 18:** Fly from Venice to Berlin.\n**Day 18-20:** Visit Berlin for 3 days.\n**Day 20:** Fly from Berlin to Krakow.\n**Day 20-24:** Visit Krakow for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Milan**Zurich**Stockholm**Reykjavik**Stuttgart**Hamburg**Bucharest**Barcelona**Tallinn",
    "ground_truth_durations": "3**5**2**2**5**5**5**2**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Zurich",
        "Barcelona"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Barcelona"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Barcelona"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Hamburg",
        "Barcelona"
      ],
      [
        "Stuttgart",
        "Barcelona"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Zurich. During day 7 and day 8, you have to attend a conference in Zurich. You want to spend 2 days in Bucharest. You would like to visit Hamburg for 5 days. You would like to visit Barcelona for 4 days. You want to spend 5 days in Reykjavik. You plan to visit relatives in Reykjavik between day 9 and day 13. You would like to visit Stuttgart for 5 days. You want to spend 2 days in Stockholm. You plan to stay in Tallinn for 4 days. You want to spend 5 days in Milan. You would like to meet your friends at Milan between day 3 and day 7 to tour together. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nLondon and Hamburg, London and Reykjavik, Milan and Barcelona, Reykjavik and Barcelona, from Reykjavik to Stuttgart, Stockholm and Reykjavik, London and Stuttgart, Milan and Zurich, London and Barcelona, Stockholm and Hamburg, Zurich and Barcelona, Stockholm and Stuttgart, Milan and Hamburg, Stockholm and Tallinn, Hamburg and Bucharest, London and Bucharest, Milan and Stockholm, Stuttgart and Hamburg, London and Zurich, Milan and Reykjavik, London and Stockholm, Milan and Stuttgart, Stockholm and Barcelona, London and Milan, Zurich and Hamburg, Bucharest and Barcelona, Zurich and Stockholm, Barcelona and Tallinn, Zurich and Tallinn, Hamburg and Barcelona, Stuttgart and Barcelona, Zurich and Reykjavik, Zurich and Bucharest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Zurich. During day 7 and day 8, you have to attend a conference in Zurich. You want to spend 2 days in Bucharest. You would like to visit Hamburg for 5 days. You would like to visit Barcelona for 4 days. You want to spend 5 days in Reykjavik. You plan to visit relatives in Reykjavik between day 9 and day 13. You would like to visit Stuttgart for 5 days. You want to spend 2 days in Stockholm. You plan to stay in Tallinn for 4 days. You want to spend 5 days in Milan. You would like to meet your friends at Milan between day 3 and day 7 to tour together. You plan to stay in London for 3 days. From day 1 to day 3, there is a annual show you want to attend in London.\n\nHere are the cities that have direct flights:\nfrom London to Hamburg, from London to Reykjavik, from Milan to Barcelona, from Reykjavik to Barcelona, from Reykjavik to Stuttgart, from Stockholm to Reykjavik, from London to Stuttgart, from Milan to Zurich, from London to Barcelona, from Stockholm to Hamburg, from Zurich to Barcelona, from Stockholm to Stuttgart, from Milan to Hamburg, from Stockholm to Tallinn, from Hamburg to Bucharest, from London to Bucharest, from Milan to Stockholm, from Stuttgart to Hamburg, from London to Zurich, from Milan to Reykjavik, from London to Stockholm, from Milan to Stuttgart, from Stockholm to Barcelona, from London to Milan, from Zurich to Hamburg, from Bucharest to Barcelona, from Zurich to Stockholm, from Barcelona to Tallinn, from Zurich to Tallinn, from Hamburg to Barcelona, from Stuttgart to Barcelona, from Zurich to Reykjavik, from Zurich to Bucharest.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Bucharest.\n**Day 21-22:** Visit Bucharest for 2 days.\n**Day 22:** Fly from Bucharest to Barcelona.\n**Day 22-25:** Visit Barcelona for 4 days.\n**Day 25:** Fly from Barcelona to Tallinn.\n**Day 25-28:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1500",
    "estimated_output_tokens": 3769,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Bucharest, Duration: 2 days.\n* City: Hamburg, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Stuttgart, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 3 - 7.\n* City: Zurich, Fixed Schedule: Day 7 - 8.\n* City: Reykjavik, Fixed Schedule: Day 9 - 13.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Hamburg, Duration: 5 days.\n* City: Barcelona, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Tallinn, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 7).\n |- The departure day of London is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Zurich (Day 7 - 8).\n   |- The departure day of Milan is Day 7. The arrival day of Zurich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Milan to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 9 - 13).\n     |- The departure day of Zurich is Day 8. The arrival day of Reykjavik is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [London, Milan, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Barcelona, Stuttgart, Stockholm, Tallinn] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 13).\n       |- The departure day of Bucharest is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [London, Milan, Zurich, Bucharest].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Bucharest to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 13).\n       |- The departure day of Hamburg is Day 12. The arrival day of Reykjavik is Day 9. Day 12 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 13).\n       |- The departure day of Barcelona is Day 11. The arrival day of Reykjavik is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 9 - 13).\n       |- The departure day of Stockholm is Day 9. The arrival day of Reykjavik is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [London, Milan, Zurich, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Stockholm to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Barcelona, Stuttgart, Tallinn] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Reykjavik to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Reykjavik to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Barcelona].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Stuttgart, Tallinn] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Barcelona to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Barcelona to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Barcelona to Stuttgart.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Barcelona to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Barcelona, Tallinn].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Tallinn to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Tallinn to Hamburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Tallinn to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Reykjavik to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Stuttgart].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Hamburg, Barcelona, Tallinn] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Stuttgart to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Stuttgart to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Stuttgart, Hamburg].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Barcelona, Tallinn] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Hamburg to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Stuttgart, Hamburg, Bucharest].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Barcelona, Tallinn] and explore these options in order.\n                 |- Try arranging to visit Barcelona from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Bucharest to Barcelona.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Stuttgart, Hamburg, Bucharest, Barcelona].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Barcelona to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [London, Milan, Zurich, Stockholm, Reykjavik, Stuttgart, Hamburg, Bucharest, Barcelona, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Reykjavik.\n**Day 9-13:** Visit Reykjavik for 5 days.\n**Day 13:** Fly from Reykjavik to Stuttgart.\n**Day 13-17:** Visit Stuttgart for 5 days.\n**Day 17:** Fly from Stuttgart to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Bucharest.\n**Day 21-22:** Visit Bucharest for 2 days.\n**Day 22:** Fly from Bucharest to Barcelona.\n**Day 22-25:** Visit Barcelona for 4 days.\n**Day 25:** Fly from Barcelona to Tallinn.\n**Day 25-28:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Warsaw**Amsterdam**Munich**Helsinki**Oslo**Lyon**Valencia**Geneva**Istanbul**Salzburg",
    "ground_truth_durations": "3**4**5**4**4**2**5**4**3**3",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Valencia",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Warsaw",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Warsaw",
        "Oslo"
      ],
      [
        "Warsaw",
        "Istanbul"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Helsinki",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Oslo",
        "Istanbul"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Warsaw",
        "Helsinki"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Munich",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Munich. From day 6 to day 10, there is a annual show you want to attend in Munich. You plan to stay in Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 3 and day 6. You plan to stay in Salzburg for 3 days. You want to spend 4 days in Oslo. During day 13 and day 16, you have to attend a conference in Oslo. You would like to visit Valencia for 5 days. You plan to stay in Lyon for 2 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 21 and day 24. You would like to visit Istanbul for 3 days. You would like to visit Warsaw for 3 days. You would like to meet your friends at Warsaw between day 1 and day 3 to tour together. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Geneva, Munich and Helsinki, Warsaw and Munich, Amsterdam and Munich, Valencia and Istanbul, Istanbul and Salzburg, Munich and Valencia, Warsaw and Valencia, Amsterdam and Lyon, Warsaw and Oslo, Warsaw and Istanbul, Warsaw and Geneva, Valencia and Geneva, Amsterdam and Helsinki, Munich and Geneva, Lyon and Valencia, Lyon and Istanbul, Amsterdam and Geneva, Helsinki and Istanbul, Amsterdam and Istanbul, Amsterdam and Oslo, Amsterdam and Valencia, Oslo and Istanbul, Munich and Lyon, Helsinki and Geneva, Warsaw and Amsterdam, Geneva and Istanbul, Helsinki and Oslo, Oslo and Lyon, Warsaw and Helsinki, Munich and Oslo, Munich and Istanbul.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Munich. From day 6 to day 10, there is a annual show you want to attend in Munich. You plan to stay in Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 3 and day 6. You plan to stay in Salzburg for 3 days. You want to spend 4 days in Oslo. During day 13 and day 16, you have to attend a conference in Oslo. You would like to visit Valencia for 5 days. You plan to stay in Lyon for 2 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 21 and day 24. You would like to visit Istanbul for 3 days. You would like to visit Warsaw for 3 days. You would like to meet your friends at Warsaw between day 1 and day 3 to tour together. You would like to visit Helsinki for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Geneva, from Munich to Helsinki, from Warsaw to Munich, from Amsterdam to Munich, from Valencia to Istanbul, from Istanbul to Salzburg, from Munich to Valencia, from Warsaw to Valencia, from Amsterdam to Lyon, from Warsaw to Oslo, from Warsaw to Istanbul, from Warsaw to Geneva, from Valencia to Geneva, from Amsterdam to Helsinki, from Munich to Geneva, from Lyon to Valencia, from Lyon to Istanbul, from Amsterdam to Geneva, from Helsinki to Istanbul, from Amsterdam to Istanbul, from Amsterdam to Oslo, from Amsterdam to Valencia, from Oslo to Istanbul, from Munich to Lyon, from Helsinki to Geneva, from Warsaw to Amsterdam, from Geneva to Istanbul, from Helsinki to Oslo, from Oslo to Lyon, from Warsaw to Helsinki, from Munich to Oslo, from Munich to Istanbul.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Munich.\n**Day 6-10:** Visit Munich for 5 days.\n**Day 10:** Fly from Munich to Helsinki.\n**Day 10-13:** Visit Helsinki for 4 days.\n**Day 13:** Fly from Helsinki to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.\n**Day 24:** Fly from Geneva to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.\n**Day 26:** Fly from Istanbul to Salzburg.\n**Day 26-28:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1501",
    "estimated_output_tokens": 3940,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Salzburg, Duration: 3 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Istanbul, Duration: 3 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Helsinki, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 3 - 6.\n* City: Munich, Fixed Schedule: Day 6 - 10.\n* City: Oslo, Fixed Schedule: Day 13 - 16.\n* City: Geneva, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Salzburg, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Lyon, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Warsaw.\n |- Try arranging to visit Warsaw from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 3 - 6).\n |- The departure day of Warsaw is Day 3. The arrival day of Amsterdam is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Warsaw to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 6 - 10).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Munich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Warsaw, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Oslo (Day 13 - 16).\n     |- The departure day of Munich is Day 10. The arrival day of Oslo is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Warsaw, Amsterdam, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Lyon, Istanbul, Helsinki] and explore these options in order.\n       |- Try arranging to visit Salzburg from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 16).\n       |- The departure day of Valencia is Day 14. The arrival day of Oslo is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Munich to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 16).\n       |- The departure day of Lyon is Day 11. The arrival day of Oslo is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Warsaw, Amsterdam, Munich, Lyon].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Istanbul, Helsinki] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lyon to Salzburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Lyon to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 13 - 16).\n         |- The departure day of Valencia is Day 15. The arrival day of Oslo is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Lyon to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 13 - 16).\n         |- The departure day of Istanbul is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Warsaw, Amsterdam, Munich, Lyon, Istanbul].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Istanbul to Oslo.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Lyon to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 16).\n       |- The departure day of Istanbul is Day 12. The arrival day of Oslo is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Warsaw, Amsterdam, Munich, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Lyon, Helsinki] and explore these options in order.\n         |- Try arranging to visit Salzburg from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to Salzburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 13 - 16).\n         |- The departure day of Salzburg is Day 14. The arrival day of Oslo is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Istanbul to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Istanbul to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Istanbul to Helsinki.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Munich to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Oslo (Day 13 - 16).\n       |- The departure day of Helsinki is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Warsaw, Amsterdam, Munich, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n         |- Try arranging to visit Oslo from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Helsinki to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 21 - 24).\n         |- The departure day of Oslo is Day 16. The arrival day of Geneva is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Lyon, Istanbul] and explore these options in order.\n           |- Try arranging to visit Salzburg from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Oslo to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Oslo to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Oslo to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Geneva (Day 21 - 24).\n           |- The departure day of Lyon is Day 17. The arrival day of Geneva is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo, Lyon].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Valencia, Istanbul] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Lyon to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Lyon to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Geneva (Day 21 - 24).\n             |- The departure day of Valencia is Day 21. The arrival day of Geneva is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo, Lyon, Valencia].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Geneva.\n               |- Try arranging to visit Geneva from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Valencia to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo, Lyon, Valencia, Geneva].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg, Istanbul] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Geneva to Salzburg.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Istanbul from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Geneva to Istanbul.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo, Lyon, Valencia, Geneva, Istanbul].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                   |- Check for direct flight from Istanbul to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Warsaw, Amsterdam, Munich, Helsinki, Oslo, Lyon, Valencia, Geneva, Istanbul, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Warsaw and visit Warsaw for 3 days.\n**Day 3:** Fly from Warsaw to Amsterdam.\n**Day 3-6:** Visit Amsterdam for 4 days.\n**Day 6:** Fly from Amsterdam to Munich.\n**Day 6-10:** Visit Munich for 5 days.\n**Day 10:** Fly from Munich to Helsinki.\n**Day 10-13:** Visit Helsinki for 4 days.\n**Day 13:** Fly from Helsinki to Oslo.\n**Day 13-16:** Visit Oslo for 4 days.\n**Day 16:** Fly from Oslo to Lyon.\n**Day 16-17:** Visit Lyon for 2 days.\n**Day 17:** Fly from Lyon to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.\n**Day 24:** Fly from Geneva to Istanbul.\n**Day 24-26:** Visit Istanbul for 3 days.\n**Day 26:** Fly from Istanbul to Salzburg.\n**Day 26-28:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Vienna**Madrid**Seville**Valencia**Krakow**Frankfurt**Bucharest**Riga**Tallinn",
    "ground_truth_durations": "3**4**2**2**4**5**4**3**4**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Vienna",
        "Madrid"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Vienna",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Bucharest"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Madrid",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You would like to visit Valencia for 4 days. You plan to stay in Madrid for 2 days. From day 6 to day 7, there is a annual show you want to attend in Madrid. You plan to stay in Seville for 2 days. You would like to visit Bucharest for 3 days. You plan to stay in Vienna for 4 days. You are going to attend a wedding in Vienna between day 3 and day 6. You would like to visit Riga for 4 days. During day 20 and day 23, you have to attend a conference in Riga. You want to spend 5 days in Tallinn. You have to attend a workshop in Tallinn between day 23 and day 27. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 11 and day 15 to tour together. You plan to stay in Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nVienna and Bucharest, Santorini and Madrid, Seville and Valencia, Vienna and Seville, Madrid and Valencia, Bucharest and Riga, Valencia and Bucharest, Santorini and Bucharest, Vienna and Valencia, Vienna and Madrid, Valencia and Krakow, Valencia and Frankfurt, Krakow and Frankfurt, from Riga to Tallinn, Vienna and Krakow, Vienna and Frankfurt, Madrid and Seville, Santorini and Vienna, Vienna and Riga, Frankfurt and Tallinn, Frankfurt and Bucharest, Madrid and Bucharest, Frankfurt and Riga, Madrid and Frankfurt.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Santorini. You would like to visit Valencia for 4 days. You plan to stay in Madrid for 2 days. From day 6 to day 7, there is a annual show you want to attend in Madrid. You plan to stay in Seville for 2 days. You would like to visit Bucharest for 3 days. You plan to stay in Vienna for 4 days. You are going to attend a wedding in Vienna between day 3 and day 6. You would like to visit Riga for 4 days. During day 20 and day 23, you have to attend a conference in Riga. You want to spend 5 days in Tallinn. You have to attend a workshop in Tallinn between day 23 and day 27. You plan to stay in Krakow for 5 days. You would like to meet your friends at Krakow between day 11 and day 15 to tour together. You plan to stay in Frankfurt for 4 days.\n\nHere are the cities that have direct flights:\nfrom Vienna to Bucharest, from Santorini to Madrid, from Seville to Valencia, from Vienna to Seville, from Madrid to Valencia, from Bucharest to Riga, from Valencia to Bucharest, from Santorini to Bucharest, from Vienna to Valencia, from Vienna to Madrid, from Valencia to Krakow, from Valencia to Frankfurt, from Krakow to Frankfurt, from Riga to Tallinn, from Vienna to Krakow, from Vienna to Frankfurt, from Madrid to Seville, from Santorini to Vienna, from Vienna to Riga, from Frankfurt to Tallinn, from Frankfurt to Bucharest, from Madrid to Bucharest, from Frankfurt to Riga, from Madrid to Frankfurt.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Madrid.\n**Day 6-7:** Visit Madrid for 2 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Frankfurt.\n**Day 15-18:** Visit Frankfurt for 4 days.\n**Day 18:** Fly from Frankfurt to Bucharest.\n**Day 18-20:** Visit Bucharest for 3 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-23:** Visit Riga for 4 days.\n**Day 23:** Fly from Riga to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1502",
    "estimated_output_tokens": 3168,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Seville, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Vienna, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Frankfurt, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 3 - 6.\n* City: Madrid, Fixed Schedule: Day 6 - 7.\n* City: Krakow, Fixed Schedule: Day 11 - 15.\n* City: Riga, Fixed Schedule: Day 20 - 23.\n* City: Tallinn, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Santorini, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Valencia, Seville, Bucharest, Frankfurt] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 3 - 6).\n |- The departure day of Santorini is Day 3. The arrival day of Vienna is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 6 - 7).\n   |- The departure day of Vienna is Day 6. The arrival day of Madrid is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Vienna].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vienna to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 11 - 15).\n     |- The departure day of Madrid is Day 7. The arrival day of Krakow is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Vienna, Madrid].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Seville, Bucharest, Frankfurt] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Madrid to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 11 - 15).\n       |- The departure day of Valencia is Day 10. The arrival day of Krakow is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, Vienna, Madrid, Valencia].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Seville from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Valencia to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Valencia to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 11 - 15).\n         |- The departure day of Bucharest is Day 12. The arrival day of Krakow is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Valencia to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Krakow (Day 11 - 15).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Krakow is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Madrid to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 11 - 15).\n       |- The departure day of Seville is Day 8. The arrival day of Krakow is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Vienna, Madrid, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Bucharest, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Seville to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 11 - 15).\n         |- The departure day of Valencia is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Valencia to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 20 - 23).\n           |- The departure day of Krakow is Day 15. The arrival day of Riga is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia, Krakow].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Krakow to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Krakow to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Riga (Day 20 - 23).\n             |- The departure day of Frankfurt is Day 18. The arrival day of Riga is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia, Krakow, Frankfurt].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Frankfurt to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Riga (Day 20 - 23).\n               |- The departure day of Bucharest is Day 20. The arrival day of Riga is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia, Krakow, Frankfurt, Bucharest].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Riga.\n                 |- Try arranging to visit Riga from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Bucharest to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Tallinn (Day 23 - 27).\n                 |- The departure day of Riga is Day 23. The arrival day of Tallinn is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia, Krakow, Frankfurt, Bucharest, Riga].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Riga to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Santorini, Vienna, Madrid, Seville, Valencia, Krakow, Frankfurt, Bucharest, Riga, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to Vienna.\n**Day 3-6:** Visit Vienna for 4 days.\n**Day 6:** Fly from Vienna to Madrid.\n**Day 6-7:** Visit Madrid for 2 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Valencia.\n**Day 8-11:** Visit Valencia for 4 days.\n**Day 11:** Fly from Valencia to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Frankfurt.\n**Day 15-18:** Visit Frankfurt for 4 days.\n**Day 18:** Fly from Frankfurt to Bucharest.\n**Day 18-20:** Visit Bucharest for 3 days.\n**Day 20:** Fly from Bucharest to Riga.\n**Day 20-23:** Visit Riga for 4 days.\n**Day 23:** Fly from Riga to Tallinn.\n**Day 23-27:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Lisbon**Krakow**Paris**Lyon**Istanbul**Tallinn**Barcelona**Geneva**Manchester",
    "ground_truth_durations": "3**2**3**5**2**4**4**2**4**2",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 4,
        "end_day": 6
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Paris",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Krakow",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Krakow",
        "Paris"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Krakow",
        "Istanbul"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "Lisbon",
        "Barcelona"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Florence",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You would like to visit Manchester for 2 days. You have to attend a workshop in Manchester between day 21 and day 22. You would like to visit Tallinn for 4 days. You would like to visit Istanbul for 4 days. You would like to visit Barcelona for 2 days. You would like to visit Lisbon for 2 days. You want to spend 2 days in Lyon. You would like to meet your friends at Lyon between day 10 and day 11 to tour together. You plan to stay in Geneva for 4 days. You want to spend 5 days in Paris. You plan to visit relatives in Paris between day 6 and day 10. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 4 and day 6.\n\nHere are the cities that have direct flights:\nParis and Barcelona, Barcelona and Geneva, Paris and Tallinn, Paris and Istanbul, Istanbul and Barcelona, Krakow and Barcelona, Lisbon and Krakow, Paris and Manchester, Krakow and Paris, Lisbon and Manchester, Lyon and Barcelona, Barcelona and Manchester, Florence and Barcelona, Lisbon and Geneva, Lisbon and Lyon, Geneva and Manchester, Lyon and Istanbul, Lisbon and Istanbul, Krakow and Istanbul, Krakow and Manchester, Tallinn and Barcelona, Istanbul and Geneva, Paris and Geneva, Paris and Lyon, Florence and Paris, Lisbon and Barcelona, from Istanbul to Tallinn, Lisbon and Paris, Istanbul and Manchester, Florence and Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 3 days. You would like to visit Manchester for 2 days. You have to attend a workshop in Manchester between day 21 and day 22. You would like to visit Tallinn for 4 days. You would like to visit Istanbul for 4 days. You would like to visit Barcelona for 2 days. You would like to visit Lisbon for 2 days. You want to spend 2 days in Lyon. You would like to meet your friends at Lyon between day 10 and day 11 to tour together. You plan to stay in Geneva for 4 days. You want to spend 5 days in Paris. You plan to visit relatives in Paris between day 6 and day 10. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 4 and day 6.\n\nHere are the cities that have direct flights:\nfrom Paris to Barcelona, from Barcelona to Geneva, from Paris to Tallinn, from Paris to Istanbul, from Istanbul to Barcelona, from Krakow to Barcelona, from Lisbon to Krakow, from Paris to Manchester, from Krakow to Paris, from Lisbon to Manchester, from Lyon to Barcelona, from Barcelona to Manchester, from Florence to Barcelona, from Lisbon to Geneva, from Lisbon to Lyon, from Geneva to Manchester, from Lyon to Istanbul, from Lisbon to Istanbul, from Krakow to Istanbul, from Krakow to Manchester, from Tallinn to Barcelona, from Istanbul to Geneva, from Paris to Geneva, from Paris to Lyon, from Florence to Paris, from Lisbon to Barcelona, from Istanbul to Tallinn, from Lisbon to Paris, from Istanbul to Manchester, from Florence to Lisbon.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Lyon.\n**Day 10-11:** Visit Lyon for 2 days.\n**Day 11:** Fly from Lyon to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.\n**Day 17:** Fly from Tallinn to Barcelona.\n**Day 17-18:** Visit Barcelona for 2 days.\n**Day 18:** Fly from Barcelona to Geneva.\n**Day 18-21:** Visit Geneva for 4 days.\n**Day 21:** Fly from Geneva to Manchester.\n**Day 21-22:** Visit Manchester for 2 days.",
    "id": "trip_planning_example_1503",
    "estimated_output_tokens": 2943,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 3 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Tallinn, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Geneva, Duration: 4 days.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 4 - 6.\n* City: Paris, Fixed Schedule: Day 6 - 10.\n* City: Lyon, Fixed Schedule: Day 10 - 11.\n* City: Manchester, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Florence, Duration: 3 days.\n* City: Tallinn, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Barcelona, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Florence, Tallinn, Istanbul, Barcelona, Lisbon, Geneva] and explore these options in order.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 4 - 6).\n |- The departure day of Florence is Day 3. The arrival day of Krakow is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul, Barcelona, Lisbon, Geneva] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Florence to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 6).\n   |- The departure day of Barcelona is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Krakow (Day 4 - 6).\n   |- The departure day of Lisbon is Day 4. The arrival day of Krakow is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Lisbon].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Krakow.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Lisbon to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Paris (Day 6 - 10).\n     |- The departure day of Krakow is Day 6. The arrival day of Paris is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Lisbon, Krakow].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Paris.\n       |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Krakow to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 10 - 11).\n       |- The departure day of Paris is Day 10. The arrival day of Lyon is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Florence, Lisbon, Krakow, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Paris to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 21 - 22).\n         |- The departure day of Lyon is Day 11. The arrival day of Manchester is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Istanbul, Barcelona, Geneva] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Lyon to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Lyon to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Manchester (Day 21 - 22).\n           |- The departure day of Istanbul is Day 14. The arrival day of Manchester is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon, Istanbul].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Barcelona, Geneva] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Istanbul to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 21 - 22).\n             |- The departure day of Tallinn is Day 17. The arrival day of Manchester is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon, Istanbul, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Barcelona, Geneva] and explore these options in order.\n               |- Try arranging to visit Barcelona from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Tallinn to Barcelona.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Manchester (Day 21 - 22).\n               |- The departure day of Barcelona is Day 18. The arrival day of Manchester is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon, Istanbul, Tallinn, Barcelona].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Barcelona to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 21 - 22).\n                 |- The departure day of Geneva is Day 21. The arrival day of Manchester is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon, Istanbul, Tallinn, Barcelona, Geneva].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                   |- Check for direct flight from Geneva to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Florence, Lisbon, Krakow, Paris, Lyon, Istanbul, Tallinn, Barcelona, Geneva, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Florence and visit Florence for 3 days.\n**Day 3:** Fly from Florence to Lisbon.\n**Day 3-4:** Visit Lisbon for 2 days.\n**Day 4:** Fly from Lisbon to Krakow.\n**Day 4-6:** Visit Krakow for 3 days.\n**Day 6:** Fly from Krakow to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Lyon.\n**Day 10-11:** Visit Lyon for 2 days.\n**Day 11:** Fly from Lyon to Istanbul.\n**Day 11-14:** Visit Istanbul for 4 days.\n**Day 14:** Fly from Istanbul to Tallinn.\n**Day 14-17:** Visit Tallinn for 4 days.\n**Day 17:** Fly from Tallinn to Barcelona.\n**Day 17-18:** Visit Barcelona for 2 days.\n**Day 18:** Fly from Barcelona to Geneva.\n**Day 18-21:** Visit Geneva for 4 days.\n**Day 21:** Fly from Geneva to Manchester.\n**Day 21-22:** Visit Manchester for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Venice**Lisbon**Reykjavik**Budapest**Manchester**Hamburg**Stockholm**Helsinki**Tallinn",
    "ground_truth_durations": "5**4**3**3**3**2**2**2**4**5",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Budapest",
        "Helsinki"
      ],
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Manchester",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Lyon",
        "Venice"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Hamburg",
        "Stockholm"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Manchester",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. You would like to visit Manchester for 2 days. You want to meet a friend in Manchester between day 14 and day 15. You would like to visit Helsinki for 4 days. You would like to visit Budapest for 3 days. You want to spend 5 days in Lyon. You plan to visit relatives in Lyon between day 1 and day 5. You want to spend 2 days in Stockholm. You have to attend a workshop in Stockholm between day 16 and day 17. You want to spend 4 days in Venice. During day 5 and day 8, you have to attend a conference in Venice. You plan to stay in Lisbon for 3 days. You would like to visit Tallinn for 5 days. You are going to attend a wedding in Tallinn between day 20 and day 24. You plan to stay in Hamburg for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Lisbon, Stockholm and Tallinn, Budapest and Helsinki, Manchester and Helsinki, Lyon and Lisbon, Lisbon and Helsinki, Manchester and Hamburg, Helsinki and Tallinn, Lyon and Venice, Venice and Helsinki, Lisbon and Stockholm, Venice and Hamburg, Reykjavik and Budapest, Lisbon and Manchester, Lisbon and Hamburg, Venice and Manchester, Hamburg and Stockholm, Budapest and Hamburg, Budapest and Manchester, Reykjavik and Stockholm, Stockholm and Helsinki, Lisbon and Budapest, Reykjavik and Helsinki, Hamburg and Helsinki, Manchester and Stockholm, Lisbon and Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. You would like to visit Manchester for 2 days. You want to meet a friend in Manchester between day 14 and day 15. You would like to visit Helsinki for 4 days. You would like to visit Budapest for 3 days. You want to spend 5 days in Lyon. You plan to visit relatives in Lyon between day 1 and day 5. You want to spend 2 days in Stockholm. You have to attend a workshop in Stockholm between day 16 and day 17. You want to spend 4 days in Venice. During day 5 and day 8, you have to attend a conference in Venice. You plan to stay in Lisbon for 3 days. You would like to visit Tallinn for 5 days. You are going to attend a wedding in Tallinn between day 20 and day 24. You plan to stay in Hamburg for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Lisbon, from Stockholm to Tallinn, from Budapest to Helsinki, from Manchester to Helsinki, from Lyon to Lisbon, from Lisbon to Helsinki, from Manchester to Hamburg, from Helsinki to Tallinn, from Lyon to Venice, from Venice to Helsinki, from Lisbon to Stockholm, from Venice to Hamburg, from Reykjavik to Budapest, from Lisbon to Manchester, from Lisbon to Hamburg, from Venice to Manchester, from Hamburg to Stockholm, from Budapest to Hamburg, from Budapest to Manchester, from Reykjavik to Stockholm, from Stockholm to Helsinki, from Lisbon to Budapest, from Reykjavik to Helsinki, from Hamburg to Helsinki, from Manchester to Stockholm, from Lisbon to Reykjavik.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.\n**Day 15:** Fly from Manchester to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Helsinki.\n**Day 17-20:** Visit Helsinki for 4 days.\n**Day 20:** Fly from Helsinki to Tallinn.\n**Day 20-24:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1504",
    "estimated_output_tokens": 3304,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Helsinki, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Lisbon, Duration: 3 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Hamburg, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 5.\n* City: Venice, Fixed Schedule: Day 5 - 8.\n* City: Manchester, Fixed Schedule: Day 14 - 15.\n* City: Stockholm, Fixed Schedule: Day 16 - 17.\n* City: Tallinn, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Helsinki, Duration: 4 days.\n* City: Budapest, Duration: 3 days.\n* City: Lisbon, Duration: 3 days.\n* City: Hamburg, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 5 - 8).\n |- The departure day of Lyon is Day 5. The arrival day of Venice is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lyon to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 14 - 15).\n   |- The departure day of Venice is Day 8. The arrival day of Manchester is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Budapest, Lisbon, Hamburg] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Venice to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 14 - 15).\n     |- The departure day of Helsinki is Day 11. The arrival day of Manchester is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Lyon, Venice, Helsinki].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Budapest, Lisbon, Hamburg] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Helsinki to Hamburg.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 14 - 15).\n     |- The departure day of Lisbon is Day 10. The arrival day of Manchester is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lyon, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Budapest, Hamburg] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Lisbon to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 14 - 15).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Manchester is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Venice, Lisbon, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Budapest, Hamburg] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Reykjavik to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 14 - 15).\n         |- The departure day of Helsinki is Day 15. The arrival day of Manchester is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Budapest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Reykjavik to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 14 - 15).\n         |- The departure day of Budapest is Day 14. The arrival day of Manchester is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Budapest to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 16 - 17).\n           |- The departure day of Manchester is Day 15. The arrival day of Stockholm is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest, Manchester].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Hamburg] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Manchester to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 16 - 17).\n             |- The departure day of Helsinki is Day 18. The arrival day of Stockholm is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Manchester to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 16 - 17).\n             |- The departure day of Hamburg is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest, Manchester, Hamburg].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Hamburg to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 20 - 24).\n               |- The departure day of Stockholm is Day 17. The arrival day of Tallinn is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest, Manchester, Hamburg, Stockholm].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n                 |- Try arranging to visit Helsinki from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Stockholm to Helsinki.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 20 - 24).\n                 |- The departure day of Helsinki is Day 20. The arrival day of Tallinn is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest, Manchester, Hamburg, Stockholm, Helsinki].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- Yes. The city with an arrival day of Day 20 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                   |- Check for direct flight from Helsinki to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Lyon, Venice, Lisbon, Reykjavik, Budapest, Manchester, Hamburg, Stockholm, Helsinki, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Venice.\n**Day 5-8:** Visit Venice for 4 days.\n**Day 8:** Fly from Venice to Lisbon.\n**Day 8-10:** Visit Lisbon for 3 days.\n**Day 10:** Fly from Lisbon to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Manchester.\n**Day 14-15:** Visit Manchester for 2 days.\n**Day 15:** Fly from Manchester to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Helsinki.\n**Day 17-20:** Visit Helsinki for 4 days.\n**Day 20:** Fly from Helsinki to Tallinn.\n**Day 20-24:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**London**Athens**Hamburg**Helsinki**Berlin**Porto**Stuttgart**Rome**Riga",
    "ground_truth_durations": "2**2**3**4**3**5**3**4**5**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Berlin"
      ],
      [
        "Athens",
        "Berlin"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Hamburg",
        "Porto"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Berlin"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Stockholm",
        "Helsinki"
      ],
      [
        "Stuttgart",
        "Rome"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Hamburg",
        "Rome"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "Berlin",
        "Rome"
      ],
      [
        "Stockholm",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Rome. You would like to visit Riga for 5 days. You plan to stay in Athens for 3 days. From day 3 to day 5, there is a annual show you want to attend in Athens. You plan to stay in Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 16 and day 19. You plan to stay in Berlin for 5 days. You would like to visit Stockholm for 2 days. During day 1 and day 2, you have to attend a conference in Stockholm. You would like to visit Hamburg for 4 days. You have to attend a workshop in Hamburg between day 5 and day 8. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nHelsinki and Berlin, Athens and Berlin, London and Athens, Berlin and Riga, London and Rome, Helsinki and Riga, from Athens to Riga, London and Helsinki, Athens and Hamburg, Berlin and Stuttgart, Stockholm and Riga, Stockholm and Rome, Porto and Stuttgart, Athens and Rome, Stockholm and Stuttgart, Hamburg and Helsinki, Berlin and Porto, from Riga to Hamburg, London and Hamburg, from Rome to Riga, London and Stuttgart, Hamburg and Porto, Hamburg and Stuttgart, Stockholm and Berlin, Helsinki and Rome, Stockholm and Helsinki, Stuttgart and Rome, Athens and Stuttgart, Stockholm and London, Stockholm and Athens, Hamburg and Rome, London and Berlin, Berlin and Rome, Stockholm and Hamburg.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Porto. You plan to stay in Helsinki for 3 days. You want to spend 5 days in Rome. You would like to visit Riga for 5 days. You plan to stay in Athens for 3 days. From day 3 to day 5, there is a annual show you want to attend in Athens. You plan to stay in Stuttgart for 4 days. You are going to attend a wedding in Stuttgart between day 16 and day 19. You plan to stay in Berlin for 5 days. You would like to visit Stockholm for 2 days. During day 1 and day 2, you have to attend a conference in Stockholm. You would like to visit Hamburg for 4 days. You have to attend a workshop in Hamburg between day 5 and day 8. You want to spend 2 days in London.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Berlin, from Athens to Berlin, from London to Athens, from Berlin to Riga, from London to Rome, from Helsinki to Riga, from Athens to Riga, from London to Helsinki, from Athens to Hamburg, from Berlin to Stuttgart, from Stockholm to Riga, from Stockholm to Rome, from Porto to Stuttgart, from Athens to Rome, from Stockholm to Stuttgart, from Hamburg to Helsinki, from Berlin to Porto, from Riga to Hamburg, from London to Hamburg, from Rome to Riga, from London to Stuttgart, from Hamburg to Porto, from Hamburg to Stuttgart, from Stockholm to Berlin, from Helsinki to Rome, from Stockholm to Helsinki, from Stuttgart to Rome, from Athens to Stuttgart, from Stockholm to London, from Stockholm to Athens, from Hamburg to Rome, from London to Berlin, from Berlin to Rome, from Stockholm to Hamburg.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Hamburg.\n**Day 5-8:** Visit Hamburg for 4 days.\n**Day 8:** Fly from Hamburg to Helsinki.\n**Day 8-10:** Visit Helsinki for 3 days.\n**Day 10:** Fly from Helsinki to Berlin.\n**Day 10-14:** Visit Berlin for 5 days.\n**Day 14:** Fly from Berlin to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Stuttgart.\n**Day 16-19:** Visit Stuttgart for 4 days.\n**Day 19:** Fly from Stuttgart to Rome.\n**Day 19-23:** Visit Rome for 5 days.\n**Day 23:** Fly from Rome to Riga.\n**Day 23-27:** Visit Riga for 5 days.",
    "id": "trip_planning_example_1505",
    "estimated_output_tokens": 4185,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Athens, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Berlin, Duration: 5 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: London, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 2.\n* City: Athens, Fixed Schedule: Day 3 - 5.\n* City: Hamburg, Fixed Schedule: Day 5 - 8.\n* City: Stuttgart, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Porto, Duration: 3 days.\n* City: Helsinki, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Berlin, Duration: 5 days.\n* City: London, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Athens (Day 3 - 5).\n |- The departure day of Stockholm is Day 2. The arrival day of Athens is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki, Rome, Riga, Berlin, London] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Stockholm to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of Helsinki is Day 4. The arrival day of Athens is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of Rome is Day 6. The arrival day of Athens is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of Riga is Day 6. The arrival day of Athens is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Stockholm to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of Berlin is Day 6. The arrival day of Athens is Day 3. Day 6 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Stockholm to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Athens (Day 3 - 5).\n   |- The departure day of London is Day 3. The arrival day of Athens is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Stockholm, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from London to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Hamburg (Day 5 - 8).\n     |- The departure day of Athens is Day 5. The arrival day of Hamburg is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Stockholm, London, Athens].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Hamburg.\n       |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Athens to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stuttgart (Day 16 - 19).\n       |- The departure day of Hamburg is Day 8. The arrival day of Stuttgart is Day 16. Day 8 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Stockholm, London, Athens, Hamburg].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Helsinki, Rome, Riga, Berlin] and explore these options in order.\n         |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Hamburg to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 16 - 19).\n         |- The departure day of Porto is Day 10. The arrival day of Stuttgart is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Stockholm, London, Athens, Hamburg, Porto].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Rome, Riga, Berlin] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Porto to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Porto to Rome.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Porto to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Porto to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Hamburg to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 16 - 19).\n         |- The departure day of Helsinki is Day 10. The arrival day of Stuttgart is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Rome, Riga, Berlin] and explore these options in order.\n           |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Helsinki to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Helsinki to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 16 - 19).\n           |- The departure day of Rome is Day 14. The arrival day of Stuttgart is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Rome].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Riga, Berlin] and explore these options in order.\n             |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Rome to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Rome to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 16 - 19).\n             |- The departure day of Riga is Day 18. The arrival day of Stuttgart is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Berlin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Rome to Berlin.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Helsinki to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 16 - 19).\n           |- The departure day of Riga is Day 14. The arrival day of Stuttgart is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Riga].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Rome, Berlin] and explore these options in order.\n             |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Riga to Porto.\n             |- No. Drop this branch.\n             |- Try arranging to visit Rome from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Rome.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Riga to Berlin.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Berlin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Helsinki to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stuttgart (Day 16 - 19).\n           |- The departure day of Berlin is Day 14. The arrival day of Stuttgart is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Berlin].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Rome, Riga] and explore these options in order.\n             |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Berlin to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 16 - 19).\n             |- The departure day of Porto is Day 16. The arrival day of Stuttgart is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Berlin, Porto].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Porto to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Berlin, Porto, Stuttgart].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Rome, Riga] and explore these options in order.\n                 |- Try arranging to visit Rome from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Stuttgart to Rome.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Berlin, Porto, Stuttgart, Rome].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Rome to Riga.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Stockholm, London, Athens, Hamburg, Helsinki, Berlin, Porto, Stuttgart, Rome, Riga].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Stockholm and visit Stockholm for 2 days.\n**Day 2:** Fly from Stockholm to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Athens.\n**Day 3-5:** Visit Athens for 3 days.\n**Day 5:** Fly from Athens to Hamburg.\n**Day 5-8:** Visit Hamburg for 4 days.\n**Day 8:** Fly from Hamburg to Helsinki.\n**Day 8-10:** Visit Helsinki for 3 days.\n**Day 10:** Fly from Helsinki to Berlin.\n**Day 10-14:** Visit Berlin for 5 days.\n**Day 14:** Fly from Berlin to Porto.\n**Day 14-16:** Visit Porto for 3 days.\n**Day 16:** Fly from Porto to Stuttgart.\n**Day 16-19:** Visit Stuttgart for 4 days.\n**Day 19:** Fly from Stuttgart to Rome.\n**Day 19-23:** Visit Rome for 5 days.\n**Day 23:** Fly from Rome to Riga.\n**Day 23-27:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**London**Reykjavik**Stockholm**Dubrovnik**Copenhagen**Bucharest**Riga**Manchester**Rome",
    "ground_truth_durations": "4**3**4**5**2**4**5**2**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 6,
        "end_day": 9
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "London",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Manchester",
        "Rome"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "London",
        "Stockholm"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "London",
        "Bucharest"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 4 days. You are going to attend a wedding in Rome between day 25 and day 28. You want to spend 3 days in London. You would like to visit Stockholm for 5 days. You plan to stay in Manchester for 4 days. From day 22 to day 25, there is a annual show you want to attend in Manchester. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 21 and day 22. You want to spend 2 days in Dubrovnik. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Copenhagen. You would like to visit Amsterdam for 4 days. You would like to meet your friends at Amsterdam between day 1 and day 4 to tour together. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 6 and day 9.\n\nHere are the cities that have direct flights:\nCopenhagen and Riga, Amsterdam and London, Copenhagen and Manchester, London and Manchester, Amsterdam and Dubrovnik, Reykjavik and Rome, Stockholm and Manchester, London and Copenhagen, Bucharest and Riga, London and Reykjavik, Copenhagen and Rome, Amsterdam and Stockholm, Copenhagen and Bucharest, from Rome to Riga, Stockholm and Riga, Manchester and Rome, Stockholm and Dubrovnik, Bucharest and Rome, Riga and Manchester, Reykjavik and Copenhagen, Amsterdam and Copenhagen, Amsterdam and Manchester, Dubrovnik and Manchester, London and Stockholm, Bucharest and Manchester, Amsterdam and Rome, Dubrovnik and Copenhagen, London and Bucharest, London and Rome, Stockholm and Copenhagen, Amsterdam and Riga, Amsterdam and Bucharest, Reykjavik and Stockholm, Stockholm and Rome, Dubrovnik and Rome, Amsterdam and Reykjavik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Rome for 4 days. You are going to attend a wedding in Rome between day 25 and day 28. You want to spend 3 days in London. You would like to visit Stockholm for 5 days. You plan to stay in Manchester for 4 days. From day 22 to day 25, there is a annual show you want to attend in Manchester. You want to spend 2 days in Riga. You plan to visit relatives in Riga between day 21 and day 22. You want to spend 2 days in Dubrovnik. You plan to stay in Bucharest for 5 days. You want to spend 4 days in Copenhagen. You would like to visit Amsterdam for 4 days. You would like to meet your friends at Amsterdam between day 1 and day 4 to tour together. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 6 and day 9.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Riga, from Amsterdam to London, from Copenhagen to Manchester, from London to Manchester, from Amsterdam to Dubrovnik, from Reykjavik to Rome, from Stockholm to Manchester, from London to Copenhagen, from Bucharest to Riga, from London to Reykjavik, from Copenhagen to Rome, from Amsterdam to Stockholm, from Copenhagen to Bucharest, from Rome to Riga, from Stockholm to Riga, from Manchester to Rome, from Stockholm to Dubrovnik, from Bucharest to Rome, from Riga to Manchester, from Reykjavik to Copenhagen, from Amsterdam to Copenhagen, from Amsterdam to Manchester, from Dubrovnik to Manchester, from London to Stockholm, from Bucharest to Manchester, from Amsterdam to Rome, from Dubrovnik to Copenhagen, from London to Bucharest, from London to Rome, from Stockholm to Copenhagen, from Amsterdam to Riga, from Amsterdam to Bucharest, from Reykjavik to Stockholm, from Stockholm to Rome, from Dubrovnik to Rome, from Amsterdam to Reykjavik.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to London.\n**Day 4-6:** Visit London for 3 days.\n**Day 6:** Fly from London to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.\n**Day 13:** Fly from Stockholm to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-22:** Visit Riga for 2 days.\n**Day 22:** Fly from Riga to Manchester.\n**Day 22-25:** Visit Manchester for 4 days.\n**Day 25:** Fly from Manchester to Rome.\n**Day 25-28:** Visit Rome for 4 days.",
    "id": "trip_planning_example_1506",
    "estimated_output_tokens": 2700,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: London, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Dubrovnik, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 6 - 9.\n* City: Riga, Fixed Schedule: Day 21 - 22.\n* City: Manchester, Fixed Schedule: Day 22 - 25.\n* City: Rome, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: London, Duration: 3 days.\n* City: Stockholm, Duration: 5 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Bucharest, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 6 - 9).\n |- The departure day of Amsterdam is Day 4. The arrival day of Reykjavik is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Stockholm, Dubrovnik, Bucharest, Copenhagen] and explore these options in order.\n   |- Try arranging to visit London from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Amsterdam to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 6 - 9).\n   |- The departure day of London is Day 6. The arrival day of Reykjavik is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from London to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Riga (Day 21 - 22).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Riga is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Amsterdam, London, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Dubrovnik, Bucharest, Copenhagen] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Reykjavik to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 21 - 22).\n       |- The departure day of Stockholm is Day 13. The arrival day of Riga is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Amsterdam, London, Reykjavik, Stockholm].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Bucharest, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Stockholm to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 21 - 22).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Riga is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Dubrovnik to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Dubrovnik to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 21 - 22).\n           |- The departure day of Copenhagen is Day 17. The arrival day of Riga is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik, Copenhagen].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Copenhagen to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 21 - 22).\n             |- The departure day of Bucharest is Day 21. The arrival day of Riga is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik, Copenhagen, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Bucharest to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 22 - 25).\n               |- The departure day of Riga is Day 22. The arrival day of Manchester is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik, Copenhagen, Bucharest, Riga].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Manchester.\n                 |- Try arranging to visit Manchester from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Riga to Manchester.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Rome (Day 25 - 28).\n                 |- The departure day of Manchester is Day 25. The arrival day of Rome is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik, Copenhagen, Bucharest, Riga, Manchester].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Rome.\n                   |- Try arranging to visit Rome from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Manchester to Rome.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Amsterdam, London, Reykjavik, Stockholm, Dubrovnik, Copenhagen, Bucharest, Riga, Manchester, Rome].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to London.\n**Day 4-6:** Visit London for 3 days.\n**Day 6:** Fly from London to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Stockholm.\n**Day 9-13:** Visit Stockholm for 5 days.\n**Day 13:** Fly from Stockholm to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Copenhagen.\n**Day 14-17:** Visit Copenhagen for 4 days.\n**Day 17:** Fly from Copenhagen to Bucharest.\n**Day 17-21:** Visit Bucharest for 5 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-22:** Visit Riga for 2 days.\n**Day 22:** Fly from Riga to Manchester.\n**Day 22-25:** Visit Manchester for 4 days.\n**Day 25:** Fly from Manchester to Rome.\n**Day 25-28:** Visit Rome for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Dubrovnik**Dublin**London**Prague**Warsaw**Vilnius**Milan**Santorini**Manchester",
    "ground_truth_durations": "4**3**5**3**2**4**5**2**5**3",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 25,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Prague"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Prague",
        "Manchester"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You plan to visit relatives in London between day 10 and day 12. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 20 and day 21. You would like to visit Warsaw for 4 days. You want to spend 2 days in Prague. You would like to visit Vilnius for 5 days. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 25 and day 27. You plan to stay in Dubrovnik for 3 days. During day 4 and day 6, you have to attend a conference in Dubrovnik. You want to spend 5 days in Dublin. From day 6 to day 10, there is a annual show you want to attend in Dublin. You would like to visit Frankfurt for 4 days. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nPrague and Warsaw, Frankfurt and Milan, Warsaw and Milan, Frankfurt and London, Santorini and Manchester, London and Milan, Dubrovnik and Manchester, Dublin and Prague, Prague and Milan, Dublin and Manchester, Frankfurt and Warsaw, Vilnius and Milan, Warsaw and Vilnius, Dubrovnik and Dublin, Dublin and Santorini, Milan and Santorini, London and Santorini, Frankfurt and Manchester, London and Manchester, Frankfurt and Prague, Dublin and London, Dublin and Milan, London and Warsaw, London and Prague, Frankfurt and Dubrovnik, Milan and Manchester, Frankfurt and Vilnius, Prague and Manchester, Warsaw and Manchester, Frankfurt and Dublin.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You plan to visit relatives in London between day 10 and day 12. You would like to visit Milan for 2 days. You have to attend a workshop in Milan between day 20 and day 21. You would like to visit Warsaw for 4 days. You want to spend 2 days in Prague. You would like to visit Vilnius for 5 days. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 25 and day 27. You plan to stay in Dubrovnik for 3 days. During day 4 and day 6, you have to attend a conference in Dubrovnik. You want to spend 5 days in Dublin. From day 6 to day 10, there is a annual show you want to attend in Dublin. You would like to visit Frankfurt for 4 days. You plan to stay in Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Prague to Warsaw, from Frankfurt to Milan, from Warsaw to Milan, from Frankfurt to London, from Santorini to Manchester, from London to Milan, from Dubrovnik to Manchester, from Dublin to Prague, from Prague to Milan, from Dublin to Manchester, from Frankfurt to Warsaw, from Vilnius to Milan, from Warsaw to Vilnius, from Dubrovnik to Dublin, from Dublin to Santorini, from Milan to Santorini, from London to Santorini, from Frankfurt to Manchester, from London to Manchester, from Frankfurt to Prague, from Dublin to London, from Dublin to Milan, from London to Warsaw, from London to Prague, from Frankfurt to Dubrovnik, from Milan to Manchester, from Frankfurt to Vilnius, from Prague to Manchester, from Warsaw to Manchester, from Frankfurt to Dublin.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Dublin.\n**Day 6-10:** Visit Dublin for 5 days.\n**Day 10:** Fly from Dublin to London.\n**Day 10-12:** Visit London for 3 days.\n**Day 12:** Fly from London to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Warsaw.\n**Day 13-16:** Visit Warsaw for 4 days.\n**Day 16:** Fly from Warsaw to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Milan.\n**Day 20-21:** Visit Milan for 2 days.\n**Day 21:** Fly from Milan to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.\n**Day 25:** Fly from Santorini to Manchester.\n**Day 25-27:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_1507",
    "estimated_output_tokens": 4110,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Warsaw, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 25 - 27.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Frankfurt, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 4 - 6.\n* City: Dublin, Fixed Schedule: Day 6 - 10.\n* City: London, Fixed Schedule: Day 10 - 12.\n* City: Milan, Fixed Schedule: Day 20 - 21.\n* City: Manchester, Fixed Schedule: Day 25 - 27.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 4 days.\n* City: Prague, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Prague, Vilnius, Frankfurt, Santorini] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 6).\n |- The departure day of Warsaw is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Warsaw to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 6).\n |- The departure day of Prague is Day 2. The arrival day of Dubrovnik is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Frankfurt, Santorini] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Dubrovnik (Day 4 - 6).\n   |- The departure day of Warsaw is Day 5. The arrival day of Dubrovnik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Prague to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Prague to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 6).\n |- The departure day of Vilnius is Day 5. The arrival day of Dubrovnik is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 4 - 6).\n |- The departure day of Frankfurt is Day 4. The arrival day of Dubrovnik is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Frankfurt to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 6 - 10).\n   |- The departure day of Dubrovnik is Day 6. The arrival day of Dublin is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Frankfurt, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Dublin.\n     |- Try arranging to visit Dublin from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dubrovnik to Dublin.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 10 - 12).\n     |- The departure day of Dublin is Day 10. The arrival day of London is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Frankfurt, Dubrovnik, Dublin].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: London.\n       |- Try arranging to visit London from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dublin to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 20 - 21).\n       |- The departure day of London is Day 12. The arrival day of Milan is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Frankfurt, Dubrovnik, Dublin, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Prague, Vilnius, Santorini] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from London to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 20 - 21).\n         |- The departure day of Warsaw is Day 15. The arrival day of Milan is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Warsaw].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Vilnius, Santorini] and explore these options in order.\n           |- Try arranging to visit Prague from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Warsaw to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Milan (Day 20 - 21).\n           |- The departure day of Vilnius is Day 19. The arrival day of Milan is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Warsaw, Vilnius].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague, Santorini] and explore these options in order.\n             |- Try arranging to visit Prague from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Vilnius to Prague.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vilnius to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Warsaw to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 20 - 21).\n         |- The departure day of Prague is Day 13. The arrival day of Milan is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Santorini] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Prague to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Milan (Day 20 - 21).\n           |- The departure day of Warsaw is Day 16. The arrival day of Milan is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague, Warsaw].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Santorini] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Warsaw to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Milan (Day 20 - 21).\n             |- The departure day of Vilnius is Day 20. The arrival day of Milan is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague, Warsaw, Vilnius].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Milan.\n               |- Try arranging to visit Milan from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Vilnius to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Manchester (Day 25 - 27).\n               |- The departure day of Milan is Day 21. The arrival day of Manchester is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague, Warsaw, Vilnius, Milan].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Milan to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 25 - 27).\n                 |- The departure day of Santorini is Day 25. The arrival day of Manchester is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague, Warsaw, Vilnius, Milan, Santorini].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                   |- Check for direct flight from Santorini to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Frankfurt, Dubrovnik, Dublin, London, Prague, Warsaw, Vilnius, Milan, Santorini, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Frankfurt and visit Frankfurt for 4 days.\n**Day 4:** Fly from Frankfurt to Dubrovnik.\n**Day 4-6:** Visit Dubrovnik for 3 days.\n**Day 6:** Fly from Dubrovnik to Dublin.\n**Day 6-10:** Visit Dublin for 5 days.\n**Day 10:** Fly from Dublin to London.\n**Day 10-12:** Visit London for 3 days.\n**Day 12:** Fly from London to Prague.\n**Day 12-13:** Visit Prague for 2 days.\n**Day 13:** Fly from Prague to Warsaw.\n**Day 13-16:** Visit Warsaw for 4 days.\n**Day 16:** Fly from Warsaw to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Milan.\n**Day 20-21:** Visit Milan for 2 days.\n**Day 21:** Fly from Milan to Santorini.\n**Day 21-25:** Visit Santorini for 5 days.\n**Day 25:** Fly from Santorini to Manchester.\n**Day 25-27:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**London**Helsinki**Split**Paris**Reykjavik**Lisbon**Lyon**Rome**Mykonos",
    "ground_truth_durations": "2**2**2**2**4**4**5**3**3**5",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 2,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Lisbon"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "London",
        "Lyon"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Split",
        "Rome"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Rome"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Geneva",
        "Lisbon"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Geneva",
        "Rome"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Split"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Paris",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Split. You plan to stay in Rome for 3 days. You would like to visit Mykonos for 5 days. You plan to stay in Helsinki for 2 days. You are going to attend a wedding in Helsinki between day 3 and day 4. You plan to stay in Lyon for 3 days. You want to spend 4 days in Paris. You would like to visit Lisbon for 5 days. You would like to visit Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 8 and day 11. You would like to visit Geneva for 2 days. During day 1 and day 2, you have to attend a conference in Geneva. You plan to stay in London for 2 days. You plan to visit relatives in London between day 2 and day 3.\n\nHere are the cities that have direct flights:\nReykjavik and Lisbon, Geneva and Split, London and Lyon, London and Reykjavik, Paris and Rome, Split and Rome, Reykjavik and Rome, Split and Lyon, Helsinki and Paris, Helsinki and Reykjavik, Paris and Lyon, Split and Paris, London and Rome, Lisbon and Rome, Geneva and Helsinki, Helsinki and Rome, Lisbon and Lyon, Geneva and Mykonos, London and Mykonos, Geneva and Lisbon, Geneva and Paris, Rome and Mykonos, London and Helsinki, Geneva and Rome, London and Paris, London and Lisbon, Helsinki and Split, Helsinki and Lisbon, Paris and Reykjavik, Lyon and Rome, Geneva and London, London and Split, Paris and Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Split. You plan to stay in Rome for 3 days. You would like to visit Mykonos for 5 days. You plan to stay in Helsinki for 2 days. You are going to attend a wedding in Helsinki between day 3 and day 4. You plan to stay in Lyon for 3 days. You want to spend 4 days in Paris. You would like to visit Lisbon for 5 days. You would like to visit Reykjavik for 4 days. You have to attend a workshop in Reykjavik between day 8 and day 11. You would like to visit Geneva for 2 days. During day 1 and day 2, you have to attend a conference in Geneva. You plan to stay in London for 2 days. You plan to visit relatives in London between day 2 and day 3.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Lisbon, from Geneva to Split, from London to Lyon, from London to Reykjavik, from Paris to Rome, from Split to Rome, from Reykjavik to Rome, from Split to Lyon, from Helsinki to Paris, from Helsinki to Reykjavik, from Paris to Lyon, from Split to Paris, from London to Rome, from Lisbon to Rome, from Geneva to Helsinki, from Helsinki to Rome, from Lisbon to Lyon, from Geneva to Mykonos, from London to Mykonos, from Geneva to Lisbon, from Geneva to Paris, from Rome to Mykonos, from London to Helsinki, from Geneva to Rome, from London to Paris, from London to Lisbon, from Helsinki to Split, from Helsinki to Lisbon, from Paris to Reykjavik, from Lyon to Rome, from Geneva to London, from London to Split, from Paris to Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Lisbon.\n**Day 11-15:** Visit Lisbon for 5 days.\n**Day 15:** Fly from Lisbon to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Rome.\n**Day 17-19:** Visit Rome for 3 days.\n**Day 19:** Fly from Rome to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1508",
    "estimated_output_tokens": 4670,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Helsinki, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Lyon, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: London, Duration: 2 days, Fixed Schedule: Day 2 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 2.\n* City: London, Fixed Schedule: Day 2 - 3.\n* City: Helsinki, Fixed Schedule: Day 3 - 4.\n* City: Reykjavik, Fixed Schedule: Day 8 - 11.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Rome, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 2 - 3).\n |- The departure day of Geneva is Day 2. The arrival day of London is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: London.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Geneva to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Helsinki (Day 3 - 4).\n   |- The departure day of London is Day 3. The arrival day of Helsinki is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Geneva, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Helsinki.\n     |- Try arranging to visit Helsinki from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from London to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Reykjavik (Day 8 - 11).\n     |- The departure day of Helsinki is Day 4. The arrival day of Reykjavik is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 4. Current plan: [Geneva, London, Helsinki].\n      |- Check whether the city with an arrival day of Day 4 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Rome, Mykonos, Lyon, Paris, Lisbon] and explore these options in order.\n       |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n       |- Check for direct flight from Helsinki to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 8 - 11).\n       |- The departure day of Split is Day 5. The arrival day of Reykjavik is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 5. Current plan: [Geneva, London, Helsinki, Split].\n        |- Check whether the city with an arrival day of Day 5 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos, Lyon, Paris, Lisbon] and explore these options in order.\n         |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n         |- Check for direct flight from Split to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 11).\n         |- The departure day of Rome is Day 7. The arrival day of Reykjavik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 7. Current plan: [Geneva, London, Helsinki, Split, Rome].\n          |- Check whether the city with an arrival day of Day 7 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Paris, Lisbon] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n           |- Check for direct flight from Rome to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 8 - 11).\n           |- The departure day of Mykonos is Day 11. The arrival day of Reykjavik is Day 8. Day 11 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n           |- Check for direct flight from Rome to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n           |- Check for direct flight from Rome to Paris.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n           |- Check for direct flight from Rome to Lisbon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n         |- Check for direct flight from Split to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n         |- Check for direct flight from Split to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 11).\n         |- The departure day of Lyon is Day 7. The arrival day of Reykjavik is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 7. Current plan: [Geneva, London, Helsinki, Split, Lyon].\n          |- Check whether the city with an arrival day of Day 7 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos, Paris, Lisbon] and explore these options in order.\n           |- Try arranging to visit Rome from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n           |- Check for direct flight from Lyon to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 8 - 11).\n           |- The departure day of Rome is Day 9. The arrival day of Reykjavik is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n           |- Check for direct flight from Lyon to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n           |- Check for direct flight from Lyon to Paris.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n           |- Check for direct flight from Lyon to Lisbon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n         |- Check for direct flight from Split to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 11).\n         |- The departure day of Paris is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Geneva, London, Helsinki, Split, Paris].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Paris to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos, Lyon, Lisbon] and explore these options in order.\n             |- Try arranging to visit Rome from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Reykjavik to Rome.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Rome].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon, Lisbon] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Rome to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Rome, Mykonos].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon, Lisbon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Mykonos to Lyon.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Lisbon from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Mykonos to Lisbon.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Lyon from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n               |- Check for direct flight from Rome to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lisbon from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Rome to Lisbon.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Reykjavik to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Reykjavik to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lisbon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Reykjavik to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos, Lyon] and explore these options in order.\n               |- Try arranging to visit Rome from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Lisbon to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon, Rome].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Rome to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon, Rome, Mykonos].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                   |- Try arranging to visit Lyon from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                   |- Check for direct flight from Mykonos to Lyon.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Lyon from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Rome to Lyon.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Lisbon to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Lyon from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Lisbon to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon, Lyon].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Rome, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Rome from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Lyon to Rome.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon, Lyon, Rome].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                   |- Check for direct flight from Rome to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Geneva, London, Helsinki, Split, Paris, Reykjavik, Lisbon, Lyon, Rome, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Geneva and visit Geneva for 2 days.\n**Day 2:** Fly from Geneva to London.\n**Day 2-3:** Visit London for 2 days.\n**Day 3:** Fly from London to Helsinki.\n**Day 3-4:** Visit Helsinki for 2 days.\n**Day 4:** Fly from Helsinki to Split.\n**Day 4-5:** Visit Split for 2 days.\n**Day 5:** Fly from Split to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Lisbon.\n**Day 11-15:** Visit Lisbon for 5 days.\n**Day 15:** Fly from Lisbon to Lyon.\n**Day 15-17:** Visit Lyon for 3 days.\n**Day 17:** Fly from Lyon to Rome.\n**Day 17-19:** Visit Rome for 3 days.\n**Day 19:** Fly from Rome to Mykonos.\n**Day 19-23:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Paris**Copenhagen**Santorini**Oslo**Krakow**Helsinki**Warsaw**Riga**Tallinn",
    "ground_truth_durations": "4**5**5**2**5**2**5**2**2**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 18,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Copenhagen",
        "Helsinki"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Helsinki",
        "Warsaw"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Oslo",
        "Helsinki"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Helsinki",
        "Tallinn"
      ],
      [
        "Paris",
        "Copenhagen"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 4 and day 8 to tour together. You would like to visit Warsaw for 2 days. You want to spend 2 days in Krakow. You have to attend a workshop in Krakow between day 17 and day 18. You plan to stay in Tallinn for 2 days. You want to spend 2 days in Riga. You are going to attend a wedding in Riga between day 23 and day 24. You would like to visit Copenhagen for 5 days. You want to spend 5 days in Helsinki. You want to meet a friend in Helsinki between day 18 and day 22. You plan to stay in Oslo for 5 days. You want to spend 2 days in Santorini. You plan to visit relatives in Santorini between day 12 and day 13. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nWarsaw and Riga, Warsaw and Tallinn, Copenhagen and Helsinki, Lyon and Paris, Copenhagen and Warsaw, Lyon and Oslo, Paris and Oslo, Paris and Riga, Krakow and Helsinki, Paris and Tallinn, Oslo and Riga, Krakow and Warsaw, Paris and Helsinki, Copenhagen and Santorini, Helsinki and Warsaw, Helsinki and Riga, Copenhagen and Krakow, Copenhagen and Riga, Paris and Krakow, Copenhagen and Oslo, Oslo and Tallinn, Oslo and Helsinki, Copenhagen and Tallinn, Oslo and Krakow, from Riga to Tallinn, Helsinki and Tallinn, Paris and Copenhagen, Paris and Warsaw, from Santorini to Oslo, Oslo and Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 4 and day 8 to tour together. You would like to visit Warsaw for 2 days. You want to spend 2 days in Krakow. You have to attend a workshop in Krakow between day 17 and day 18. You plan to stay in Tallinn for 2 days. You want to spend 2 days in Riga. You are going to attend a wedding in Riga between day 23 and day 24. You would like to visit Copenhagen for 5 days. You want to spend 5 days in Helsinki. You want to meet a friend in Helsinki between day 18 and day 22. You plan to stay in Oslo for 5 days. You want to spend 2 days in Santorini. You plan to visit relatives in Santorini between day 12 and day 13. You plan to stay in Lyon for 4 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Riga, from Warsaw to Tallinn, from Copenhagen to Helsinki, from Lyon to Paris, from Copenhagen to Warsaw, from Lyon to Oslo, from Paris to Oslo, from Paris to Riga, from Krakow to Helsinki, from Paris to Tallinn, from Oslo to Riga, from Krakow to Warsaw, from Paris to Helsinki, from Copenhagen to Santorini, from Helsinki to Warsaw, from Helsinki to Riga, from Copenhagen to Krakow, from Copenhagen to Riga, from Paris to Krakow, from Copenhagen to Oslo, from Oslo to Tallinn, from Oslo to Helsinki, from Copenhagen to Tallinn, from Oslo to Krakow, from Riga to Tallinn, from Helsinki to Tallinn, from Paris to Copenhagen, from Paris to Warsaw, from Santorini to Oslo, from Oslo to Warsaw.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Copenhagen.\n**Day 8-12:** Visit Copenhagen for 5 days.\n**Day 12:** Fly from Copenhagen to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-18:** Visit Krakow for 2 days.\n**Day 18:** Fly from Krakow to Helsinki.\n**Day 18-22:** Visit Helsinki for 5 days.\n**Day 22:** Fly from Helsinki to Warsaw.\n**Day 22-23:** Visit Warsaw for 2 days.\n**Day 23:** Fly from Warsaw to Riga.\n**Day 23-24:** Visit Riga for 2 days.\n**Day 24:** Fly from Riga to Tallinn.\n**Day 24-25:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1509",
    "estimated_output_tokens": 4959,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Warsaw, Duration: 2 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Tallinn, Duration: 2 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Copenhagen, Duration: 5 days.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 18 - 22.\n* City: Oslo, Duration: 5 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Lyon, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 4 - 8.\n* City: Santorini, Fixed Schedule: Day 12 - 13.\n* City: Krakow, Fixed Schedule: Day 17 - 18.\n* City: Helsinki, Fixed Schedule: Day 18 - 22.\n* City: Riga, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Copenhagen, Oslo, Lyon] and explore these options in order.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Warsaw is Day 2. The arrival day of Paris is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Oslo, Lyon] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Paris (Day 4 - 8).\n   |- The departure day of Tallinn is Day 3. The arrival day of Paris is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Warsaw, Tallinn].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Copenhagen, Oslo, Lyon] and explore these options in order.\n     |- Try arranging to visit Copenhagen from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Tallinn to Copenhagen.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Tallinn to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Tallinn to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Warsaw to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Tallinn is Day 2. The arrival day of Paris is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Copenhagen, Oslo, Lyon] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Tallinn to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Copenhagen.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Tallinn to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Tallinn to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Copenhagen is Day 5. The arrival day of Paris is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Oslo from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Oslo is Day 5. The arrival day of Paris is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 8).\n |- The departure day of Lyon is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Lyon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 12 - 13).\n   |- The departure day of Paris is Day 8. The arrival day of Santorini is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lyon, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Copenhagen, Oslo] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 13).\n     |- The departure day of Warsaw is Day 9. The arrival day of Santorini is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Copenhagen, Oslo] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 12 - 13).\n       |- The departure day of Tallinn is Day 10. The arrival day of Santorini is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Paris, Warsaw, Tallinn].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Copenhagen, Oslo] and explore these options in order.\n         |- Try arranging to visit Copenhagen from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Tallinn to Oslo.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 13).\n     |- The departure day of Tallinn is Day 9. The arrival day of Santorini is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Paris, Tallinn].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Copenhagen, Oslo] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Tallinn to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Tallinn to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Paris to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Santorini (Day 12 - 13).\n     |- The departure day of Copenhagen is Day 12. The arrival day of Santorini is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lyon, Paris, Copenhagen].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Copenhagen to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 17 - 18).\n       |- The departure day of Santorini is Day 13. The arrival day of Krakow is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lyon, Paris, Copenhagen, Santorini].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn, Oslo] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Santorini to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Santorini to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 17 - 18).\n         |- The departure day of Oslo is Day 17. The arrival day of Krakow is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Krakow.\n           |- Try arranging to visit Krakow from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Oslo to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 18 - 22).\n           |- The departure day of Krakow is Day 18. The arrival day of Helsinki is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo, Krakow].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Helsinki.\n             |- Try arranging to visit Helsinki from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Krakow to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Riga (Day 23 - 24).\n             |- The departure day of Helsinki is Day 22. The arrival day of Riga is Day 23. Day 22 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo, Krakow, Helsinki].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Tallinn] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n               |- Check for direct flight from Helsinki to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Riga (Day 23 - 24).\n               |- The departure day of Warsaw is Day 23. The arrival day of Riga is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo, Krakow, Helsinki, Warsaw].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Riga.\n                 |- Try arranging to visit Riga from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Warsaw to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo, Krakow, Helsinki, Warsaw, Riga].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Riga to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Lyon, Paris, Copenhagen, Santorini, Oslo, Krakow, Helsinki, Warsaw, Riga, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Lyon and visit Lyon for 4 days.\n**Day 4:** Fly from Lyon to Paris.\n**Day 4-8:** Visit Paris for 5 days.\n**Day 8:** Fly from Paris to Copenhagen.\n**Day 8-12:** Visit Copenhagen for 5 days.\n**Day 12:** Fly from Copenhagen to Santorini.\n**Day 12-13:** Visit Santorini for 2 days.\n**Day 13:** Fly from Santorini to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-18:** Visit Krakow for 2 days.\n**Day 18:** Fly from Krakow to Helsinki.\n**Day 18-22:** Visit Helsinki for 5 days.\n**Day 22:** Fly from Helsinki to Warsaw.\n**Day 22-23:** Visit Warsaw for 2 days.\n**Day 23:** Fly from Warsaw to Riga.\n**Day 23-24:** Visit Riga for 2 days.\n**Day 24:** Fly from Riga to Tallinn.\n**Day 24-25:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Berlin**Venice**Lyon**Bucharest**Zurich**Milan**Porto**Warsaw**Split",
    "ground_truth_durations": "5**3**4**5**5**2**2**2**3**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Lyon",
        "Split"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Zurich",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Paris",
        "Berlin"
      ],
      [
        "Paris",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 1 and day 5 to tour together. You plan to stay in Milan for 2 days. From day 19 to day 20, there is a annual show you want to attend in Milan. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 21 and day 23. You want to spend 2 days in Zurich. You want to spend 4 days in Venice. You want to meet a friend in Venice between day 7 and day 10. You want to spend 3 days in Berlin. You want to spend 5 days in Lyon. You want to spend 5 days in Bucharest. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 23 and day 27. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nVenice and Warsaw, Zurich and Warsaw, Paris and Zurich, Paris and Porto, Lyon and Porto, Bucharest and Warsaw, Berlin and Zurich, Milan and Split, Lyon and Bucharest, Porto and Warsaw, Berlin and Split, Bucharest and Zurich, Venice and Zurich, Paris and Split, Berlin and Venice, Zurich and Milan, Zurich and Porto, Berlin and Porto, Paris and Venice, Paris and Lyon, Venice and Lyon, Paris and Warsaw, Berlin and Warsaw, Milan and Warsaw, Lyon and Split, Berlin and Milan, Zurich and Split, Warsaw and Split, Paris and Milan, Milan and Porto, Paris and Berlin, Paris and Bucharest.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 1 and day 5 to tour together. You plan to stay in Milan for 2 days. From day 19 to day 20, there is a annual show you want to attend in Milan. You want to spend 3 days in Warsaw. You are going to attend a wedding in Warsaw between day 21 and day 23. You want to spend 2 days in Zurich. You want to spend 4 days in Venice. You want to meet a friend in Venice between day 7 and day 10. You want to spend 3 days in Berlin. You want to spend 5 days in Lyon. You want to spend 5 days in Bucharest. You would like to visit Split for 5 days. You have to attend a workshop in Split between day 23 and day 27. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Warsaw, from Zurich to Warsaw, from Paris to Zurich, from Paris to Porto, from Lyon to Porto, from Bucharest to Warsaw, from Berlin to Zurich, from Milan to Split, from Lyon to Bucharest, from Porto to Warsaw, from Berlin to Split, from Bucharest to Zurich, from Venice to Zurich, from Paris to Split, from Berlin to Venice, from Zurich to Milan, from Zurich to Porto, from Berlin to Porto, from Paris to Venice, from Paris to Lyon, from Venice to Lyon, from Paris to Warsaw, from Berlin to Warsaw, from Milan to Warsaw, from Lyon to Split, from Berlin to Milan, from Zurich to Split, from Warsaw to Split, from Paris to Milan, from Milan to Porto, from Paris to Berlin, from Paris to Bucharest.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Venice.\n**Day 7-10:** Visit Venice for 4 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Milan.\n**Day 19-20:** Visit Milan for 2 days.\n**Day 20:** Fly from Milan to Porto.\n**Day 20-21:** Visit Porto for 2 days.\n**Day 21:** Fly from Porto to Warsaw.\n**Day 21-23:** Visit Warsaw for 3 days.\n**Day 23:** Fly from Warsaw to Split.\n**Day 23-27:** Visit Split for 5 days.",
    "id": "trip_planning_example_1510",
    "estimated_output_tokens": 3784,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Milan, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Zurich, Duration: 2 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Berlin, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 5.\n* City: Venice, Fixed Schedule: Day 7 - 10.\n* City: Milan, Fixed Schedule: Day 19 - 20.\n* City: Warsaw, Fixed Schedule: Day 21 - 23.\n* City: Split, Fixed Schedule: Day 23 - 27.\n\nCities needing arrangement:\n* City: Zurich, Duration: 2 days.\n* City: Berlin, Duration: 3 days.\n* City: Lyon, Duration: 5 days.\n* City: Bucharest, Duration: 5 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 7 - 10).\n |- The departure day of Paris is Day 5. The arrival day of Venice is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Berlin, Lyon, Bucharest, Porto] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Paris to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 10).\n   |- The departure day of Zurich is Day 6. The arrival day of Venice is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Lyon, Bucharest, Porto] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Venice (Day 7 - 10).\n     |- The departure day of Porto is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Zurich, Porto].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Porto to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Paris to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 7 - 10).\n   |- The departure day of Berlin is Day 7. The arrival day of Venice is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Paris, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Venice.\n     |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Berlin to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Milan (Day 19 - 20).\n     |- The departure day of Venice is Day 10. The arrival day of Milan is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Paris, Berlin, Venice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Lyon, Bucharest, Porto] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Venice to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 19 - 20).\n       |- The departure day of Zurich is Day 11. The arrival day of Milan is Day 19. Day 11 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Paris, Berlin, Venice, Zurich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest, Porto] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Zurich to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Zurich to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Zurich to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 19 - 20).\n         |- The departure day of Porto is Day 12. The arrival day of Milan is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Berlin, Venice, Zurich, Porto].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Porto to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Porto to Bucharest.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Venice to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Milan (Day 19 - 20).\n       |- The departure day of Lyon is Day 14. The arrival day of Milan is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Paris, Berlin, Venice, Lyon].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Bucharest, Porto] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Lyon to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Lyon to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Milan (Day 19 - 20).\n         |- The departure day of Bucharest is Day 18. The arrival day of Milan is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Porto] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Bucharest to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Milan (Day 19 - 20).\n           |- The departure day of Zurich is Day 19. The arrival day of Milan is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest, Zurich].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Milan.\n             |- Try arranging to visit Milan from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Zurich to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Warsaw (Day 21 - 23).\n             |- The departure day of Milan is Day 20. The arrival day of Warsaw is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest, Zurich, Milan].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n               |- Try arranging to visit Porto from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Milan to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Warsaw (Day 21 - 23).\n               |- The departure day of Porto is Day 21. The arrival day of Warsaw is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest, Zurich, Milan, Porto].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Porto to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Split (Day 23 - 27).\n                 |- The departure day of Warsaw is Day 23. The arrival day of Split is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest, Zurich, Milan, Porto, Warsaw].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Split.\n                   |- Try arranging to visit Split from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Warsaw to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Paris, Berlin, Venice, Lyon, Bucharest, Zurich, Milan, Porto, Warsaw, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Paris and visit Paris for 5 days.\n**Day 5:** Fly from Paris to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Venice.\n**Day 7-10:** Visit Venice for 4 days.\n**Day 10:** Fly from Venice to Lyon.\n**Day 10-14:** Visit Lyon for 5 days.\n**Day 14:** Fly from Lyon to Bucharest.\n**Day 14-18:** Visit Bucharest for 5 days.\n**Day 18:** Fly from Bucharest to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Milan.\n**Day 19-20:** Visit Milan for 2 days.\n**Day 20:** Fly from Milan to Porto.\n**Day 20-21:** Visit Porto for 2 days.\n**Day 21:** Fly from Porto to Warsaw.\n**Day 21-23:** Visit Warsaw for 3 days.\n**Day 23:** Fly from Warsaw to Split.\n**Day 23-27:** Visit Split for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Tallinn**Munich**Venice**Santorini**Bucharest**Valencia**Porto**Manchester**Vienna**Reykjavik",
    "ground_truth_durations": "4**3**3**3**5**2**3**3**5**2",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Valencia",
        "Vienna"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Munich",
        "Manchester"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Munich",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. You plan to stay in Reykjavik for 2 days. You would like to visit Munich for 3 days. From day 4 to day 6, there is a annual show you want to attend in Munich. You would like to visit Santorini for 3 days. You plan to visit relatives in Santorini between day 8 and day 10. You would like to visit Manchester for 3 days. You plan to stay in Porto for 3 days. You would like to visit Bucharest for 5 days. You want to spend 4 days in Tallinn. You want to spend 2 days in Valencia. You have to attend a workshop in Valencia between day 14 and day 15. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nBucharest and Manchester, Munich and Venice, Santorini and Manchester, Vienna and Reykjavik, Venice and Santorini, Munich and Porto, Valencia and Vienna, Manchester and Vienna, Porto and Vienna, Venice and Manchester, Santorini and Vienna, Munich and Manchester, Munich and Reykjavik, Bucharest and Valencia, Venice and Vienna, Bucharest and Vienna, Porto and Manchester, Munich and Vienna, Valencia and Porto, Munich and Bucharest, Tallinn and Munich, Santorini and Bucharest, Munich and Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 3 days. You plan to stay in Reykjavik for 2 days. You would like to visit Munich for 3 days. From day 4 to day 6, there is a annual show you want to attend in Munich. You would like to visit Santorini for 3 days. You plan to visit relatives in Santorini between day 8 and day 10. You would like to visit Manchester for 3 days. You plan to stay in Porto for 3 days. You would like to visit Bucharest for 5 days. You want to spend 4 days in Tallinn. You want to spend 2 days in Valencia. You have to attend a workshop in Valencia between day 14 and day 15. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Manchester, from Munich to Venice, from Santorini to Manchester, from Vienna to Reykjavik, from Venice to Santorini, from Munich to Porto, from Valencia to Vienna, from Manchester to Vienna, from Porto to Vienna, from Venice to Manchester, from Santorini to Vienna, from Munich to Manchester, from Munich to Reykjavik, from Bucharest to Valencia, from Venice to Vienna, from Bucharest to Vienna, from Porto to Manchester, from Munich to Vienna, from Valencia to Porto, from Munich to Bucharest, from Tallinn to Munich, from Santorini to Bucharest, from Munich to Valencia.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Porto.\n**Day 15-17:** Visit Porto for 3 days.\n**Day 17:** Fly from Porto to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n**Day 19:** Fly from Manchester to Vienna.\n**Day 19-23:** Visit Vienna for 5 days.\n**Day 23:** Fly from Vienna to Reykjavik.\n**Day 23-24:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1511",
    "estimated_output_tokens": 5734,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Manchester, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 4 - 6.\n* City: Santorini, Fixed Schedule: Day 8 - 10.\n* City: Valencia, Fixed Schedule: Day 14 - 15.\n\nCities needing arrangement:\n* City: Venice, Duration: 3 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Manchester, Duration: 3 days.\n* City: Porto, Duration: 3 days.\n* City: Bucharest, Duration: 5 days.\n* City: Tallinn, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Manchester, Porto, Bucharest, Tallinn, Vienna] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Venice is Day 3. The arrival day of Munich is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Porto, Bucharest, Tallinn, Vienna] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 6).\n   |- The departure day of Manchester is Day 5. The arrival day of Munich is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Venice to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Venice to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Venice to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 6).\n   |- The departure day of Vienna is Day 7. The arrival day of Munich is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Reykjavik is Day 2. The arrival day of Munich is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Manchester, Porto, Bucharest, Tallinn, Vienna] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Manchester.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Reykjavik to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Manchester is Day 3. The arrival day of Munich is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Porto, Bucharest, Tallinn, Vienna] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Manchester to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Manchester to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Manchester to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 6).\n   |- The departure day of Vienna is Day 7. The arrival day of Munich is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Porto is Day 3. The arrival day of Munich is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Manchester, Bucharest, Tallinn, Vienna] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Porto to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 6).\n   |- The departure day of Manchester is Day 5. The arrival day of Munich is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Porto to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vienna from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Munich (Day 4 - 6).\n   |- The departure day of Vienna is Day 7. The arrival day of Munich is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Bucharest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Bucharest is Day 5. The arrival day of Munich is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Tallinn from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Tallinn.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 4 - 6).\n |- The departure day of Tallinn is Day 4. The arrival day of Munich is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Tallinn].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Tallinn to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 10).\n   |- The departure day of Munich is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Tallinn, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Reykjavik, Manchester, Porto, Bucharest, Vienna] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 8 - 10).\n     |- The departure day of Venice is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Tallinn, Munich, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 14 - 15).\n       |- The departure day of Santorini is Day 10. The arrival day of Valencia is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Tallinn, Munich, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Porto, Bucharest, Vienna] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Manchester from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Santorini to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 14 - 15).\n         |- The departure day of Manchester is Day 12. The arrival day of Valencia is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Tallinn, Munich, Venice, Santorini, Manchester].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Bucharest, Vienna] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Manchester to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Manchester to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Manchester to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Manchester to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 15).\n           |- The departure day of Vienna is Day 16. The arrival day of Valencia is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Santorini to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Santorini to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Valencia (Day 14 - 15).\n         |- The departure day of Bucharest is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Bucharest to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest, Valencia].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Porto, Vienna] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Valencia to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Manchester from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Valencia to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Valencia to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest, Valencia, Porto].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Manchester, Vienna] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Porto to Reykjavik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Porto to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest, Valencia, Porto, Manchester].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vienna] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Manchester to Reykjavik.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Vienna from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Manchester to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest, Valencia, Porto, Manchester, Vienna].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                   |- Try arranging to visit Reykjavik from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                   |- Check for direct flight from Vienna to Reykjavik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Tallinn, Munich, Venice, Santorini, Bucharest, Valencia, Porto, Manchester, Vienna, Reykjavik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Tallinn and visit Tallinn for 4 days.\n**Day 4:** Fly from Tallinn to Munich.\n**Day 4-6:** Visit Munich for 3 days.\n**Day 6:** Fly from Munich to Venice.\n**Day 6-8:** Visit Venice for 3 days.\n**Day 8:** Fly from Venice to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Bucharest.\n**Day 10-14:** Visit Bucharest for 5 days.\n**Day 14:** Fly from Bucharest to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Porto.\n**Day 15-17:** Visit Porto for 3 days.\n**Day 17:** Fly from Porto to Manchester.\n**Day 17-19:** Visit Manchester for 3 days.\n**Day 19:** Fly from Manchester to Vienna.\n**Day 19-23:** Visit Vienna for 5 days.\n**Day 23:** Fly from Vienna to Reykjavik.\n**Day 23-24:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Paris**Vilnius**Munich**Dubrovnik**Zurich**Santorini**Naples**Nice**Brussels",
    "ground_truth_durations": "2**5**5**5**5**5**5**5**3**3",
    "num_cities": 10,
    "total_days": 34,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 32,
        "end_day": 34
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 22,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 26,
        "end_day": 30
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Dubrovnik",
        "Naples"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Naples",
        "Nice"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Lisbon",
        "Brussels"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Lisbon",
        "Zurich"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Vilnius",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 34 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 3 days. You want to spend 5 days in Zurich. You plan to stay in Lisbon for 2 days. You have to attend a workshop in Lisbon between day 1 and day 2. You would like to visit Munich for 5 days. You want to spend 5 days in Dubrovnik. You would like to visit Brussels for 3 days. You would like to meet your friends at Brussels between day 32 and day 34 to tour together. You plan to stay in Vilnius for 5 days. You want to spend 5 days in Santorini. During day 22 and day 26, you have to attend a conference in Santorini. You would like to visit Paris for 5 days. You would like to visit Naples for 5 days. You are going to attend a wedding in Naples between day 26 and day 30.\n\nHere are the cities that have direct flights:\nLisbon and Paris, Paris and Naples, Dubrovnik and Zurich, Munich and Dubrovnik, Vilnius and Zurich, Nice and Brussels, Santorini and Naples, Munich and Nice, Paris and Nice, Zurich and Santorini, Vilnius and Brussels, Zurich and Naples, Lisbon and Munich, Zurich and Brussels, Dubrovnik and Naples, Lisbon and Nice, Naples and Nice, Zurich and Nice, Munich and Brussels, Paris and Vilnius, Lisbon and Naples, Paris and Munich, Lisbon and Brussels, Paris and Brussels, Naples and Brussels, Munich and Zurich, Lisbon and Zurich, Munich and Naples, Paris and Zurich, from Vilnius to Munich.\n\nFind a trip plan of visiting the cities for 34 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 34 days in total. You only take direct flights to commute between cities. You plan to stay in Nice for 3 days. You want to spend 5 days in Zurich. You plan to stay in Lisbon for 2 days. You have to attend a workshop in Lisbon between day 1 and day 2. You would like to visit Munich for 5 days. You want to spend 5 days in Dubrovnik. You would like to visit Brussels for 3 days. You would like to meet your friends at Brussels between day 32 and day 34 to tour together. You plan to stay in Vilnius for 5 days. You want to spend 5 days in Santorini. During day 22 and day 26, you have to attend a conference in Santorini. You would like to visit Paris for 5 days. You would like to visit Naples for 5 days. You are going to attend a wedding in Naples between day 26 and day 30.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Paris, from Paris to Naples, from Dubrovnik to Zurich, from Munich to Dubrovnik, from Vilnius to Zurich, from Nice to Brussels, from Santorini to Naples, from Munich to Nice, from Paris to Nice, from Zurich to Santorini, from Vilnius to Brussels, from Zurich to Naples, from Lisbon to Munich, from Zurich to Brussels, from Dubrovnik to Naples, from Lisbon to Nice, from Naples to Nice, from Zurich to Nice, from Munich to Brussels, from Paris to Vilnius, from Lisbon to Naples, from Paris to Munich, from Lisbon to Brussels, from Paris to Brussels, from Naples to Brussels, from Munich to Zurich, from Lisbon to Zurich, from Munich to Naples, from Paris to Zurich, from Vilnius to Munich.\n\nFind a trip plan of visiting the cities for 34 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 34 days:\n\n**Day 1-2:** Arriving in Lisbon and visit Lisbon for 2 days.\n**Day 2:** Fly from Lisbon to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Munich.\n**Day 10-14:** Visit Munich for 5 days.\n**Day 14:** Fly from Munich to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.\n**Day 18:** Fly from Dubrovnik to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Santorini.\n**Day 22-26:** Visit Santorini for 5 days.\n**Day 26:** Fly from Santorini to Naples.\n**Day 26-30:** Visit Naples for 5 days.\n**Day 30:** Fly from Naples to Nice.\n**Day 30-32:** Visit Nice for 3 days.\n**Day 32:** Fly from Nice to Brussels.\n**Day 32-34:** Visit Brussels for 3 days.",
    "id": "trip_planning_example_1512",
    "estimated_output_tokens": 11482,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Munich, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 32 - 34.\n* City: Vilnius, Duration: 5 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n* City: Paris, Duration: 5 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 26 - 30.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Fixed Schedule: Day 22 - 26.\n* City: Naples, Fixed Schedule: Day 26 - 30.\n* City: Brussels, Fixed Schedule: Day 32 - 34.\n\nCities needing arrangement:\n* City: Nice, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Munich, Duration: 5 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Vilnius, Duration: 5 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lisbon.\n |- Try arranging to visit Lisbon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 22 - 26).\n |- The departure day of Lisbon is Day 2. The arrival day of Santorini is Day 22. Day 2 is not later than (<=) Day 22. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Munich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lisbon to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 22 - 26).\n   |- The departure day of Nice is Day 4. The arrival day of Santorini is Day 22. Day 4 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lisbon, Nice].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Munich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Nice to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 22 - 26).\n   |- The departure day of Zurich is Day 6. The arrival day of Santorini is Day 22. Day 6 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Munich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Nice is Day 8. The arrival day of Santorini is Day 22. Day 8 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Zurich, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 22 - 26).\n   |- The departure day of Munich is Day 6. The arrival day of Santorini is Day 22. Day 6 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Nice is Day 8. The arrival day of Santorini is Day 22. Day 8 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Munich, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik, Vilnius, Paris] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Zurich is Day 10. The arrival day of Santorini is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Munich, Zurich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Dubrovnik, Vilnius, Paris] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Nice is Day 12. The arrival day of Santorini is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Munich, Zurich, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vilnius, Paris] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Santorini is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Vilnius, Paris] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Dubrovnik to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Zurich is Day 14. The arrival day of Santorini is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Munich, Dubrovnik, Zurich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Paris] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Zurich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Nice is Day 16. The arrival day of Santorini is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Munich, Dubrovnik, Zurich, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Paris] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Paris.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Paris.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Dubrovnik to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Munich to Paris.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lisbon to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 22 - 26).\n   |- The departure day of Paris is Day 6. The arrival day of Santorini is Day 22. Day 6 is not later than (<=) Day 22. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Munich, Dubrovnik, Vilnius] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Nice is Day 8. The arrival day of Santorini is Day 22. Day 8 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lisbon, Paris, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Zurich, Munich, Dubrovnik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Nice to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Zurich is Day 10. The arrival day of Santorini is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Paris, Zurich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Munich, Dubrovnik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Nice is Day 12. The arrival day of Santorini is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Paris, Zurich, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Zurich to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Munich is Day 10. The arrival day of Santorini is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Paris, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Dubrovnik, Vilnius] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Nice is Day 12. The arrival day of Santorini is Day 22. Day 12 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lisbon, Paris, Munich, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Zurich is Day 14. The arrival day of Santorini is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Paris, Munich, Zurich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Dubrovnik, Vilnius] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Zurich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Nice is Day 16. The arrival day of Santorini is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Paris, Munich, Zurich, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vilnius] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Dubrovnik is Day 14. The arrival day of Santorini is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Paris, Munich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Vilnius] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Dubrovnik to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Dubrovnik to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Zurich is Day 18. The arrival day of Santorini is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Lisbon, Paris, Munich, Dubrovnik, Zurich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius] and explore these options in order.\n           |- Try arranging to visit Nice from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Zurich to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 22 - 26).\n           |- The departure day of Nice is Day 20. The arrival day of Santorini is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Lisbon, Paris, Munich, Dubrovnik, Zurich, Nice].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Nice to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Zurich to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Dubrovnik to Vilnius.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Munich to Vilnius.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 22 - 26).\n     |- The departure day of Vilnius is Day 10. The arrival day of Santorini is Day 22. Day 10 is not later than (<=) Day 22. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Lisbon, Paris, Vilnius].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Munich, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Vilnius to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Zurich is Day 14. The arrival day of Santorini is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Paris, Vilnius, Zurich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Munich, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Zurich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Nice is Day 16. The arrival day of Santorini is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Paris, Vilnius, Zurich, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Munich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Munich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Zurich to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Santorini (Day 22 - 26).\n       |- The departure day of Munich is Day 14. The arrival day of Santorini is Day 22. Day 14 is not later than (<=) Day 22. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Lisbon, Paris, Vilnius, Munich].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Zurich, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Nice from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Munich to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Nice is Day 16. The arrival day of Santorini is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Lisbon, Paris, Vilnius, Munich, Nice].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Zurich.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Nice to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Munich to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Zurich is Day 18. The arrival day of Santorini is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Lisbon, Paris, Vilnius, Munich, Zurich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Nice from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Zurich to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 22 - 26).\n           |- The departure day of Nice is Day 20. The arrival day of Santorini is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Lisbon, Paris, Vilnius, Munich, Zurich, Nice].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Nice to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Zurich to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Munich to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 22 - 26).\n         |- The departure day of Dubrovnik is Day 18. The arrival day of Santorini is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Zurich] and explore these options in order.\n           |- Try arranging to visit Nice from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Dubrovnik to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Dubrovnik to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 22 - 26).\n           |- The departure day of Zurich is Day 22. The arrival day of Santorini is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik, Zurich].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- Yes. The city with an arrival day of Day 22 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n             |- Check for direct flight from Zurich to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Naples (Day 26 - 30).\n             |- The departure day of Santorini is Day 26. The arrival day of Naples is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik, Zurich, Santorini].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- Yes. The city with an arrival day of Day 26 - is fixed: Naples.\n               |- Try arranging to visit Naples from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n               |- Check for direct flight from Santorini to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Brussels (Day 32 - 34).\n               |- The departure day of Naples is Day 30. The arrival day of Brussels is Day 32. Day 30 is not later than (<=) Day 32. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 30. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik, Zurich, Santorini, Naples].\n                |- Check whether the city with an arrival day of Day 30 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 30. Duration: 3 days. Schedule: Day 30 - 32.\n                 |- Check for direct flight from Naples to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 30: Brussels (Day 32 - 34).\n                 |- The departure day of Nice is Day 32. The arrival day of Brussels is Day 32. Day 32 is not later than (<=) Day 32. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 32. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik, Zurich, Santorini, Naples, Nice].\n                  |- Check whether the city with an arrival day of Day 32 - is fixed.\n                  |- Yes. The city with an arrival day of Day 32 - is fixed: Brussels.\n                   |- Try arranging to visit Brussels from Day 32. Duration: 3 days. Schedule: Day 32 - 34.\n                   |- Check for direct flight from Nice to Brussels.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 32: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 34. Current plan: [Lisbon, Paris, Vilnius, Munich, Dubrovnik, Zurich, Santorini, Naples, Nice, Brussels].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lisbon and visit Lisbon for 2 days.\n**Day 2:** Fly from Lisbon to Paris.\n**Day 2-6:** Visit Paris for 5 days.\n**Day 6:** Fly from Paris to Vilnius.\n**Day 6-10:** Visit Vilnius for 5 days.\n**Day 10:** Fly from Vilnius to Munich.\n**Day 10-14:** Visit Munich for 5 days.\n**Day 14:** Fly from Munich to Dubrovnik.\n**Day 14-18:** Visit Dubrovnik for 5 days.\n**Day 18:** Fly from Dubrovnik to Zurich.\n**Day 18-22:** Visit Zurich for 5 days.\n**Day 22:** Fly from Zurich to Santorini.\n**Day 22-26:** Visit Santorini for 5 days.\n**Day 26:** Fly from Santorini to Naples.\n**Day 26-30:** Visit Naples for 5 days.\n**Day 30:** Fly from Naples to Nice.\n**Day 30-32:** Visit Nice for 3 days.\n**Day 32:** Fly from Nice to Brussels.\n**Day 32-34:** Visit Brussels for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**Paris**Lisbon**Venice**Santorini**Dublin**Riga**Edinburgh**London**Mykonos",
    "ground_truth_durations": "3**4**4**2**4**4**2**3**2**4",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 19,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "London",
        "Mykonos"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Stockholm",
        "Lisbon"
      ],
      [
        "Stockholm",
        "Dublin"
      ],
      [
        "Riga",
        "Edinburgh"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Paris",
        "Dublin"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Venice",
        "London"
      ],
      [
        "Edinburgh",
        "London"
      ],
      [
        "Santorini",
        "Dublin"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Stockholm",
        "Edinburgh"
      ],
      [
        "Paris",
        "Venice"
      ],
      [
        "Paris",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 13 and day 16 to tour together. You would like to visit Edinburgh for 3 days. You want to meet a friend in Edinburgh between day 17 and day 19. You plan to stay in Stockholm for 3 days. From day 1 to day 3, there is a annual show you want to attend in Stockholm. You want to spend 4 days in Mykonos. You would like to visit Venice for 2 days. You would like to visit Riga for 2 days. You would like to visit Paris for 4 days. You plan to visit relatives in Paris between day 3 and day 6. You would like to visit Lisbon for 4 days. You want to spend 4 days in Santorini. You want to spend 2 days in London. During day 19 and day 20, you have to attend a conference in London.\n\nHere are the cities that have direct flights:\nLisbon and Venice, Venice and Edinburgh, Stockholm and London, Dublin and Edinburgh, Paris and Edinburgh, Paris and London, Dublin and London, Stockholm and Riga, Venice and Dublin, Lisbon and Riga, Dublin and Riga, London and Mykonos, Lisbon and London, Stockholm and Lisbon, Stockholm and Dublin, Riga and Edinburgh, Paris and Riga, Venice and Santorini, Paris and Dublin, Stockholm and Paris, Santorini and London, from Stockholm to Santorini, Venice and London, Edinburgh and London, Santorini and Dublin, Lisbon and Dublin, Stockholm and Edinburgh, Paris and Venice, Paris and Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Dublin for 4 days. You would like to meet your friends at Dublin between day 13 and day 16 to tour together. You would like to visit Edinburgh for 3 days. You want to meet a friend in Edinburgh between day 17 and day 19. You plan to stay in Stockholm for 3 days. From day 1 to day 3, there is a annual show you want to attend in Stockholm. You want to spend 4 days in Mykonos. You would like to visit Venice for 2 days. You would like to visit Riga for 2 days. You would like to visit Paris for 4 days. You plan to visit relatives in Paris between day 3 and day 6. You would like to visit Lisbon for 4 days. You want to spend 4 days in Santorini. You want to spend 2 days in London. During day 19 and day 20, you have to attend a conference in London.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Venice, from Venice to Edinburgh, from Stockholm to London, from Dublin to Edinburgh, from Paris to Edinburgh, from Paris to London, from Dublin to London, from Stockholm to Riga, from Venice to Dublin, from Lisbon to Riga, from Dublin to Riga, from London to Mykonos, from Lisbon to London, from Stockholm to Lisbon, from Stockholm to Dublin, from Riga to Edinburgh, from Paris to Riga, from Venice to Santorini, from Paris to Dublin, from Stockholm to Paris, from Santorini to London, from Stockholm to Santorini, from Venice to London, from Edinburgh to London, from Santorini to Dublin, from Lisbon to Dublin, from Stockholm to Edinburgh, from Paris to Venice, from Paris to Lisbon.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Lisbon.\n**Day 6-9:** Visit Lisbon for 4 days.\n**Day 9:** Fly from Lisbon to Venice.\n**Day 9-10:** Visit Venice for 2 days.\n**Day 10:** Fly from Venice to Santorini.\n**Day 10-13:** Visit Santorini for 4 days.\n**Day 13:** Fly from Santorini to Dublin.\n**Day 13-16:** Visit Dublin for 4 days.\n**Day 16:** Fly from Dublin to Riga.\n**Day 16-17:** Visit Riga for 2 days.\n**Day 17:** Fly from Riga to Edinburgh.\n**Day 17-19:** Visit Edinburgh for 3 days.\n**Day 19:** Fly from Edinburgh to London.\n**Day 19-20:** Visit London for 2 days.\n**Day 20:** Fly from London to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1513",
    "estimated_output_tokens": 3946,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Edinburgh, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Mykonos, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Lisbon, Duration: 4 days.\n* City: Santorini, Duration: 4 days.\n* City: London, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 1 - 3.\n* City: Paris, Fixed Schedule: Day 3 - 6.\n* City: Dublin, Fixed Schedule: Day 13 - 16.\n* City: Edinburgh, Fixed Schedule: Day 17 - 19.\n* City: London, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n* City: Riga, Duration: 2 days.\n* City: Lisbon, Duration: 4 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Stockholm.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 6).\n |- The departure day of Stockholm is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stockholm to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dublin (Day 13 - 16).\n   |- The departure day of Paris is Day 6. The arrival day of Dublin is Day 13. Day 6 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Stockholm, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Venice, Riga, Lisbon, Santorini] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 13 - 16).\n     |- The departure day of Venice is Day 7. The arrival day of Dublin is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Paris, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Lisbon, Santorini] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dublin (Day 13 - 16).\n       |- The departure day of Santorini is Day 10. The arrival day of Dublin is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Paris, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Lisbon] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Santorini to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lisbon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Lisbon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 13 - 16).\n     |- The departure day of Riga is Day 7. The arrival day of Dublin is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Stockholm, Paris, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Venice, Lisbon, Santorini] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 13 - 16).\n     |- The departure day of Lisbon is Day 9. The arrival day of Dublin is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, Paris, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Venice, Riga, Santorini] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Lisbon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 13 - 16).\n       |- The departure day of Venice is Day 10. The arrival day of Dublin is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Stockholm, Paris, Lisbon, Venice].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Santorini] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Venice to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Venice to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Venice to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dublin (Day 13 - 16).\n         |- The departure day of Santorini is Day 13. The arrival day of Dublin is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Dublin.\n           |- Try arranging to visit Dublin from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Santorini to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Edinburgh (Day 17 - 19).\n           |- The departure day of Dublin is Day 16. The arrival day of Edinburgh is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini, Dublin].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Dublin to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Dublin to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Edinburgh (Day 17 - 19).\n             |- The departure day of Riga is Day 17. The arrival day of Edinburgh is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini, Dublin, Riga].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- Yes. The city with an arrival day of Day 17 - is fixed: Edinburgh.\n               |- Try arranging to visit Edinburgh from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Riga to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: London (Day 19 - 20).\n               |- The departure day of Edinburgh is Day 19. The arrival day of London is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini, Dublin, Riga, Edinburgh].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: London.\n                 |- Try arranging to visit London from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                 |- Check for direct flight from Edinburgh to London.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini, Dublin, Riga, Edinburgh, London].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                   |- Check for direct flight from London to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Stockholm, Paris, Lisbon, Venice, Santorini, Dublin, Riga, Edinburgh, London, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Stockholm and visit Stockholm for 3 days.\n**Day 3:** Fly from Stockholm to Paris.\n**Day 3-6:** Visit Paris for 4 days.\n**Day 6:** Fly from Paris to Lisbon.\n**Day 6-9:** Visit Lisbon for 4 days.\n**Day 9:** Fly from Lisbon to Venice.\n**Day 9-10:** Visit Venice for 2 days.\n**Day 10:** Fly from Venice to Santorini.\n**Day 10-13:** Visit Santorini for 4 days.\n**Day 13:** Fly from Santorini to Dublin.\n**Day 13-16:** Visit Dublin for 4 days.\n**Day 16:** Fly from Dublin to Riga.\n**Day 16-17:** Visit Riga for 2 days.\n**Day 17:** Fly from Riga to Edinburgh.\n**Day 17-19:** Visit Edinburgh for 3 days.\n**Day 19:** Fly from Edinburgh to London.\n**Day 19-20:** Visit London for 2 days.\n**Day 20:** Fly from London to Mykonos.\n**Day 20-23:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Madrid**Seville**Amsterdam**Riga**Bucharest**Warsaw**Split**Geneva**Manchester",
    "ground_truth_durations": "5**3**4**3**2**4**3**4**2**4",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Split"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Riga",
        "Bucharest"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Madrid",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Madrid",
        "Split"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Geneva",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Split"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 3 days. You would like to visit Split for 4 days. You would like to visit Manchester for 4 days. From day 22 to day 25, there is a annual show you want to attend in Manchester. You plan to stay in Seville for 4 days. You would like to visit Bucharest for 4 days. You plan to stay in Geneva for 2 days. You plan to stay in Riga for 2 days. You are going to attend a wedding in Riga between day 12 and day 13. You plan to stay in Madrid for 3 days. You plan to stay in Venice for 5 days. You have to attend a workshop in Venice between day 1 and day 5. You would like to visit Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, Madrid and Amsterdam, Venice and Warsaw, Riga and Bucharest, Seville and Amsterdam, Warsaw and Split, Riga and Warsaw, Riga and Manchester, Venice and Amsterdam, Warsaw and Geneva, Seville and Manchester, Madrid and Bucharest, Amsterdam and Manchester, Amsterdam and Bucharest, Madrid and Seville, Amsterdam and Riga, Bucharest and Manchester, Bucharest and Warsaw, Madrid and Geneva, Madrid and Warsaw, Madrid and Manchester, Venice and Madrid, Amsterdam and Geneva, Madrid and Split, Split and Geneva, Warsaw and Manchester, Geneva and Manchester, Amsterdam and Warsaw, Venice and Manchester, Amsterdam and Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Warsaw for 3 days. You would like to visit Split for 4 days. You would like to visit Manchester for 4 days. From day 22 to day 25, there is a annual show you want to attend in Manchester. You plan to stay in Seville for 4 days. You would like to visit Bucharest for 4 days. You plan to stay in Geneva for 2 days. You plan to stay in Riga for 2 days. You are going to attend a wedding in Riga between day 12 and day 13. You plan to stay in Madrid for 3 days. You plan to stay in Venice for 5 days. You have to attend a workshop in Venice between day 1 and day 5. You would like to visit Amsterdam for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Split, from Madrid to Amsterdam, from Venice to Warsaw, from Riga to Bucharest, from Seville to Amsterdam, from Warsaw to Split, from Riga to Warsaw, from Riga to Manchester, from Venice to Amsterdam, from Warsaw to Geneva, from Seville to Manchester, from Madrid to Bucharest, from Amsterdam to Manchester, from Amsterdam to Bucharest, from Madrid to Seville, from Amsterdam to Riga, from Bucharest to Manchester, from Bucharest to Warsaw, from Madrid to Geneva, from Madrid to Warsaw, from Madrid to Manchester, from Venice to Madrid, from Amsterdam to Geneva, from Madrid to Split, from Split to Geneva, from Warsaw to Manchester, from Geneva to Manchester, from Amsterdam to Warsaw, from Venice to Manchester, from Amsterdam to Split.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-7:** Visit Madrid for 3 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-10:** Visit Seville for 4 days.\n**Day 10:** Fly from Seville to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Split.\n**Day 18-21:** Visit Split for 4 days.\n**Day 21:** Fly from Split to Geneva.\n**Day 21-22:** Visit Geneva for 2 days.\n**Day 22:** Fly from Geneva to Manchester.\n**Day 22-25:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1514",
    "estimated_output_tokens": 7631,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Seville, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Madrid, Duration: 3 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 5.\n* City: Riga, Fixed Schedule: Day 12 - 13.\n* City: Manchester, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Split, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Bucharest, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Madrid, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 12 - 13).\n |- The departure day of Venice is Day 5. The arrival day of Riga is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Seville, Bucharest, Geneva, Madrid, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 13).\n   |- The departure day of Warsaw is Day 7. The arrival day of Riga is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Seville, Bucharest, Geneva, Madrid, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 13).\n     |- The departure day of Split is Day 10. The arrival day of Riga is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Warsaw, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Geneva, Madrid, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Riga (Day 12 - 13).\n       |- The departure day of Geneva is Day 11. The arrival day of Riga is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Warsaw, Split, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Bucharest, Madrid, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Madrid from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Geneva to Madrid.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Geneva to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Madrid from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Warsaw to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 13).\n     |- The departure day of Geneva is Day 8. The arrival day of Riga is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Warsaw, Geneva].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Seville, Bucharest, Madrid, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Geneva to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Geneva to Madrid.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Geneva to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Madrid from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Warsaw to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Warsaw to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Venice to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Venice to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Venice to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Riga (Day 12 - 13).\n   |- The departure day of Madrid is Day 7. The arrival day of Riga is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Madrid].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Seville, Bucharest, Geneva, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Madrid to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 13).\n     |- The departure day of Warsaw is Day 9. The arrival day of Riga is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Venice, Madrid, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Split, Seville, Bucharest, Geneva, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 12 - 13).\n       |- The departure day of Split is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Venice, Madrid, Warsaw, Split].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Split to Riga.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Warsaw to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Riga (Day 12 - 13).\n       |- The departure day of Geneva is Day 10. The arrival day of Riga is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Venice, Madrid, Warsaw, Geneva].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Seville, Bucharest, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Geneva to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Geneva to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Geneva to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Geneva to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Madrid to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 13).\n     |- The departure day of Split is Day 10. The arrival day of Riga is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Madrid, Split].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Seville, Bucharest, Geneva, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Split to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Split to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Riga (Day 12 - 13).\n       |- The departure day of Geneva is Day 11. The arrival day of Riga is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Venice, Madrid, Split, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Seville, Bucharest, Amsterdam] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Geneva to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Geneva to Amsterdam.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Split to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Madrid to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Riga (Day 12 - 13).\n     |- The departure day of Seville is Day 10. The arrival day of Riga is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Venice, Madrid, Seville].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Bucharest, Geneva, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Seville to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Seville to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Seville to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Seville to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Riga (Day 12 - 13).\n       |- The departure day of Amsterdam is Day 12. The arrival day of Riga is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Venice, Madrid, Seville, Amsterdam].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Riga.\n         |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Amsterdam to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Manchester (Day 22 - 25).\n         |- The departure day of Riga is Day 13. The arrival day of Manchester is Day 22. Day 13 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Bucharest, Geneva] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Riga to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 22 - 25).\n           |- The departure day of Warsaw is Day 15. The arrival day of Manchester is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Warsaw].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Bucharest, Geneva] and explore these options in order.\n             |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Warsaw to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 22 - 25).\n             |- The departure day of Split is Day 18. The arrival day of Manchester is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Warsaw, Split].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Split to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Geneva from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Split to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 22 - 25).\n               |- The departure day of Geneva is Day 19. The arrival day of Manchester is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Warsaw, Split, Geneva].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Geneva to Bucharest.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Warsaw to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Warsaw to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 22 - 25).\n             |- The departure day of Geneva is Day 16. The arrival day of Manchester is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Warsaw, Geneva].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Bucharest] and explore these options in order.\n               |- Try arranging to visit Split from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Geneva to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Geneva to Bucharest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Riga to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Riga to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Manchester (Day 22 - 25).\n           |- The departure day of Bucharest is Day 16. The arrival day of Manchester is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Bucharest].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Split, Geneva] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Bucharest to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Manchester (Day 22 - 25).\n             |- The departure day of Warsaw is Day 18. The arrival day of Manchester is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Bucharest, Warsaw].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Geneva] and explore these options in order.\n               |- Try arranging to visit Split from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Warsaw to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 22 - 25).\n               |- The departure day of Split is Day 21. The arrival day of Manchester is Day 22. Day 21 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Bucharest, Warsaw, Split].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Split to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Manchester (Day 22 - 25).\n                 |- The departure day of Geneva is Day 22. The arrival day of Manchester is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Bucharest, Warsaw, Split, Geneva].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                   |- Check for direct flight from Geneva to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Venice, Madrid, Seville, Amsterdam, Riga, Bucharest, Warsaw, Split, Geneva, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Venice and visit Venice for 5 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-7:** Visit Madrid for 3 days.\n**Day 7:** Fly from Madrid to Seville.\n**Day 7-10:** Visit Seville for 4 days.\n**Day 10:** Fly from Seville to Amsterdam.\n**Day 10-12:** Visit Amsterdam for 3 days.\n**Day 12:** Fly from Amsterdam to Riga.\n**Day 12-13:** Visit Riga for 2 days.\n**Day 13:** Fly from Riga to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Warsaw.\n**Day 16-18:** Visit Warsaw for 3 days.\n**Day 18:** Fly from Warsaw to Split.\n**Day 18-21:** Visit Split for 4 days.\n**Day 21:** Fly from Split to Geneva.\n**Day 21-22:** Visit Geneva for 2 days.\n**Day 22:** Fly from Geneva to Manchester.\n**Day 22-25:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Venice**Lyon**Madrid**Dubrovnik**Helsinki**Lisbon**Frankfurt**Edinburgh**Riga",
    "ground_truth_durations": "4**5**2**5**4**3**2**2**5**4",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 20,
        "end_day": 24
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Lyon",
        "Lisbon"
      ],
      [
        "Helsinki",
        "Lisbon"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "Barcelona",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Helsinki",
        "Riga"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Helsinki",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Barcelona",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 4 days. You plan to visit relatives in Barcelona between day 1 and day 4. You would like to visit Madrid for 5 days. You want to spend 2 days in Lisbon. During day 18 and day 19, you have to attend a conference in Lisbon. You want to spend 3 days in Helsinki. You want to spend 4 days in Dubrovnik. You plan to stay in Riga for 4 days. You want to spend 5 days in Venice. You want to spend 2 days in Lyon. You have to attend a workshop in Lyon between day 8 and day 9. You would like to visit Frankfurt for 2 days. From day 19 to day 20, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Edinburgh. You want to meet a friend in Edinburgh between day 20 and day 24.\n\nHere are the cities that have direct flights:\nVenice and Edinburgh, Barcelona and Lisbon, Madrid and Frankfurt, Helsinki and Edinburgh, Lyon and Lisbon, Helsinki and Lisbon, Madrid and Dubrovnik, Barcelona and Edinburgh, Madrid and Lisbon, Lisbon and Riga, Lyon and Frankfurt, Frankfurt and Riga, Venice and Lyon, Venice and Madrid, Madrid and Helsinki, Barcelona and Madrid, Venice and Frankfurt, Dubrovnik and Helsinki, Barcelona and Riga, Venice and Helsinki, Venice and Lisbon, Lyon and Madrid, Barcelona and Frankfurt, Madrid and Edinburgh, Barcelona and Venice, Edinburgh and Riga, Helsinki and Riga, Lisbon and Frankfurt, Frankfurt and Edinburgh, Barcelona and Dubrovnik, Helsinki and Frankfurt, Barcelona and Lyon, Dubrovnik and Frankfurt, Barcelona and Helsinki.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Barcelona for 4 days. You plan to visit relatives in Barcelona between day 1 and day 4. You would like to visit Madrid for 5 days. You want to spend 2 days in Lisbon. During day 18 and day 19, you have to attend a conference in Lisbon. You want to spend 3 days in Helsinki. You want to spend 4 days in Dubrovnik. You plan to stay in Riga for 4 days. You want to spend 5 days in Venice. You want to spend 2 days in Lyon. You have to attend a workshop in Lyon between day 8 and day 9. You would like to visit Frankfurt for 2 days. From day 19 to day 20, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Edinburgh. You want to meet a friend in Edinburgh between day 20 and day 24.\n\nHere are the cities that have direct flights:\nfrom Venice to Edinburgh, from Barcelona to Lisbon, from Madrid to Frankfurt, from Helsinki to Edinburgh, from Lyon to Lisbon, from Helsinki to Lisbon, from Madrid to Dubrovnik, from Barcelona to Edinburgh, from Madrid to Lisbon, from Lisbon to Riga, from Lyon to Frankfurt, from Frankfurt to Riga, from Venice to Lyon, from Venice to Madrid, from Madrid to Helsinki, from Barcelona to Madrid, from Venice to Frankfurt, from Dubrovnik to Helsinki, from Barcelona to Riga, from Venice to Helsinki, from Venice to Lisbon, from Lyon to Madrid, from Barcelona to Frankfurt, from Madrid to Edinburgh, from Barcelona to Venice, from Edinburgh to Riga, from Helsinki to Riga, from Lisbon to Frankfurt, from Frankfurt to Edinburgh, from Barcelona to Dubrovnik, from Helsinki to Frankfurt, from Barcelona to Lyon, from Dubrovnik to Frankfurt, from Barcelona to Helsinki.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.\n**Day 16:** Fly from Dubrovnik to Helsinki.\n**Day 16-18:** Visit Helsinki for 3 days.\n**Day 18:** Fly from Helsinki to Lisbon.\n**Day 18-19:** Visit Lisbon for 2 days.\n**Day 19:** Fly from Lisbon to Frankfurt.\n**Day 19-20:** Visit Frankfurt for 2 days.\n**Day 20:** Fly from Frankfurt to Edinburgh.\n**Day 20-24:** Visit Edinburgh for 5 days.\n**Day 24:** Fly from Edinburgh to Riga.\n**Day 24-27:** Visit Riga for 4 days.",
    "id": "trip_planning_example_1515",
    "estimated_output_tokens": 4660,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Madrid, Duration: 5 days.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Helsinki, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 4.\n* City: Lyon, Fixed Schedule: Day 8 - 9.\n* City: Lisbon, Fixed Schedule: Day 18 - 19.\n* City: Frankfurt, Fixed Schedule: Day 19 - 20.\n* City: Edinburgh, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Madrid, Duration: 5 days.\n* City: Helsinki, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Riga, Duration: 4 days.\n* City: Venice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 8 - 9).\n |- The departure day of Barcelona is Day 4. The arrival day of Lyon is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Madrid, Helsinki, Dubrovnik, Riga, Venice] and explore these options in order.\n   |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 9).\n   |- The departure day of Madrid is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Madrid].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Madrid to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Barcelona to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 9).\n   |- The departure day of Helsinki is Day 6. The arrival day of Lyon is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Helsinki].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Dubrovnik, Riga, Venice] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Helsinki to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 8 - 9).\n     |- The departure day of Riga is Day 9. The arrival day of Lyon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Helsinki to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 9).\n   |- The departure day of Dubrovnik is Day 7. The arrival day of Lyon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Helsinki, Riga, Venice] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dubrovnik to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Dubrovnik to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 8 - 9).\n     |- The departure day of Helsinki is Day 9. The arrival day of Lyon is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Dubrovnik to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Dubrovnik to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 9).\n   |- The departure day of Riga is Day 7. The arrival day of Lyon is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, Riga].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Madrid, Helsinki, Dubrovnik, Venice] and explore these options in order.\n     |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Riga to Madrid.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Riga to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Riga to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Barcelona to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Lyon (Day 8 - 9).\n   |- The departure day of Venice is Day 8. The arrival day of Lyon is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Barcelona, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Lyon.\n     |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lisbon (Day 18 - 19).\n     |- The departure day of Lyon is Day 9. The arrival day of Lisbon is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Barcelona, Venice, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Madrid, Helsinki, Dubrovnik, Riga] and explore these options in order.\n       |- Try arranging to visit Madrid from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Lyon to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 18 - 19).\n       |- The departure day of Madrid is Day 13. The arrival day of Lisbon is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Barcelona, Venice, Lyon, Madrid].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Dubrovnik, Riga] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Madrid to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 18 - 19).\n         |- The departure day of Helsinki is Day 15. The arrival day of Lisbon is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Barcelona, Venice, Lyon, Madrid, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Riga] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lisbon (Day 18 - 19).\n           |- The departure day of Riga is Day 18. The arrival day of Lisbon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Barcelona, Venice, Lyon, Madrid, Helsinki, Riga].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Riga to Lisbon.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Madrid to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 18 - 19).\n         |- The departure day of Dubrovnik is Day 16. The arrival day of Lisbon is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Riga] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Dubrovnik to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Lisbon (Day 18 - 19).\n           |- The departure day of Helsinki is Day 18. The arrival day of Lisbon is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik, Helsinki].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Helsinki to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 19 - 20).\n             |- The departure day of Lisbon is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik, Helsinki, Lisbon].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Lisbon to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Edinburgh (Day 20 - 24).\n               |- The departure day of Frankfurt is Day 20. The arrival day of Edinburgh is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik, Helsinki, Lisbon, Frankfurt].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Edinburgh.\n                 |- Try arranging to visit Edinburgh from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Frankfurt to Edinburgh.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik, Helsinki, Lisbon, Frankfurt, Edinburgh].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                   |- Check for direct flight from Edinburgh to Riga.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Barcelona, Venice, Lyon, Madrid, Dubrovnik, Helsinki, Lisbon, Frankfurt, Edinburgh, Riga].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Madrid.\n**Day 9-13:** Visit Madrid for 5 days.\n**Day 13:** Fly from Madrid to Dubrovnik.\n**Day 13-16:** Visit Dubrovnik for 4 days.\n**Day 16:** Fly from Dubrovnik to Helsinki.\n**Day 16-18:** Visit Helsinki for 3 days.\n**Day 18:** Fly from Helsinki to Lisbon.\n**Day 18-19:** Visit Lisbon for 2 days.\n**Day 19:** Fly from Lisbon to Frankfurt.\n**Day 19-20:** Visit Frankfurt for 2 days.\n**Day 20:** Fly from Frankfurt to Edinburgh.\n**Day 20-24:** Visit Edinburgh for 5 days.\n**Day 24:** Fly from Edinburgh to Riga.\n**Day 24-27:** Visit Riga for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Istanbul**Milan**Stockholm**Split**Warsaw**Bucharest**Vienna**Dubrovnik**Manchester",
    "ground_truth_durations": "3**3**4**5**2**2**3**4**4**5",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 22,
        "end_day": 26
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Stockholm",
        "Split"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Barcelona",
        "Milan"
      ],
      [
        "Bucharest",
        "Manchester"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Vienna",
        "Dubrovnik"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Milan",
        "Manchester"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Warsaw",
        "Vienna"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Barcelona",
        "Istanbul"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Milan",
        "Vienna"
      ],
      [
        "Warsaw",
        "Manchester"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Split",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. You want to meet a friend in Milan between day 5 and day 8. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 1 and day 3. You plan to stay in Warsaw for 2 days. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 14 and day 16. You want to spend 3 days in Istanbul. You plan to stay in Dubrovnik for 4 days. You want to spend 5 days in Stockholm. You want to spend 4 days in Vienna. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 12 and day 13 to tour together. You want to spend 5 days in Manchester. You plan to visit relatives in Manchester between day 22 and day 26.\n\nHere are the cities that have direct flights:\nBucharest and Vienna, Stockholm and Split, Warsaw and Bucharest, Milan and Stockholm, Istanbul and Milan, Istanbul and Stockholm, Barcelona and Vienna, Barcelona and Stockholm, Milan and Split, Barcelona and Milan, Bucharest and Manchester, Dubrovnik and Manchester, Barcelona and Bucharest, Istanbul and Bucharest, Stockholm and Manchester, Vienna and Dubrovnik, Barcelona and Manchester, Split and Vienna, from Dubrovnik to Istanbul, Istanbul and Warsaw, from Manchester to Split, Stockholm and Warsaw, Stockholm and Dubrovnik, Milan and Warsaw, Milan and Manchester, Barcelona and Dubrovnik, Warsaw and Vienna, Istanbul and Manchester, Stockholm and Vienna, Barcelona and Istanbul, Barcelona and Split, Vienna and Manchester, Milan and Vienna, Warsaw and Manchester, Barcelona and Warsaw, Istanbul and Vienna, Split and Warsaw.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Milan. You want to meet a friend in Milan between day 5 and day 8. You want to spend 3 days in Barcelona. You have to attend a workshop in Barcelona between day 1 and day 3. You plan to stay in Warsaw for 2 days. You would like to visit Bucharest for 3 days. You are going to attend a wedding in Bucharest between day 14 and day 16. You want to spend 3 days in Istanbul. You plan to stay in Dubrovnik for 4 days. You want to spend 5 days in Stockholm. You want to spend 4 days in Vienna. You would like to visit Split for 2 days. You would like to meet your friends at Split between day 12 and day 13 to tour together. You want to spend 5 days in Manchester. You plan to visit relatives in Manchester between day 22 and day 26.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Vienna, from Stockholm to Split, from Warsaw to Bucharest, from Milan to Stockholm, from Istanbul to Milan, from Istanbul to Stockholm, from Barcelona to Vienna, from Barcelona to Stockholm, from Milan to Split, from Barcelona to Milan, from Bucharest to Manchester, from Dubrovnik to Manchester, from Barcelona to Bucharest, from Istanbul to Bucharest, from Stockholm to Manchester, from Vienna to Dubrovnik, from Barcelona to Manchester, from Split to Vienna, from Dubrovnik to Istanbul, from Istanbul to Warsaw, from Manchester to Split, from Stockholm to Warsaw, from Stockholm to Dubrovnik, from Milan to Warsaw, from Milan to Manchester, from Barcelona to Dubrovnik, from Warsaw to Vienna, from Istanbul to Manchester, from Stockholm to Vienna, from Barcelona to Istanbul, from Barcelona to Split, from Vienna to Manchester, from Milan to Vienna, from Warsaw to Manchester, from Barcelona to Warsaw, from Istanbul to Vienna, from Split to Warsaw.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Split.\n**Day 12-13:** Visit Split for 2 days.\n**Day 13:** Fly from Split to Warsaw.\n**Day 13-14:** Visit Warsaw for 2 days.\n**Day 14:** Fly from Warsaw to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Manchester.\n**Day 22-26:** Visit Manchester for 5 days.",
    "id": "trip_planning_example_1516",
    "estimated_output_tokens": 3692,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Barcelona, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Warsaw, Duration: 2 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Istanbul, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 22 - 26.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 3.\n* City: Milan, Fixed Schedule: Day 5 - 8.\n* City: Split, Fixed Schedule: Day 12 - 13.\n* City: Bucharest, Fixed Schedule: Day 14 - 16.\n* City: Manchester, Fixed Schedule: Day 22 - 26.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vienna, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 5 - 8).\n |- The departure day of Barcelona is Day 3. The arrival day of Milan is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Istanbul, Dubrovnik, Stockholm, Vienna] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Barcelona to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 8).\n   |- The departure day of Warsaw is Day 4. The arrival day of Milan is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Barcelona, Warsaw].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Dubrovnik, Stockholm, Vienna] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Warsaw to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Warsaw to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Warsaw to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Milan (Day 5 - 8).\n     |- The departure day of Vienna is Day 7. The arrival day of Milan is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Barcelona to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Milan (Day 5 - 8).\n   |- The departure day of Istanbul is Day 5. The arrival day of Milan is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Barcelona, Istanbul].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Istanbul to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 12 - 13).\n     |- The departure day of Milan is Day 8. The arrival day of Split is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Istanbul, Milan].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik, Stockholm, Vienna] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Milan to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 12 - 13).\n       |- The departure day of Warsaw is Day 9. The arrival day of Split is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Barcelona, Istanbul, Milan, Warsaw].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Stockholm, Vienna] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Warsaw to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Warsaw to Stockholm.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vienna from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Warsaw to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 12 - 13).\n         |- The departure day of Vienna is Day 12. The arrival day of Split is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Barcelona, Istanbul, Milan, Warsaw, Vienna].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Split.\n           |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Vienna to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Milan to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Milan to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 12 - 13).\n       |- The departure day of Stockholm is Day 12. The arrival day of Split is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Barcelona, Istanbul, Milan, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Split.\n         |- Try arranging to visit Split from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Stockholm to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 14 - 16).\n         |- The departure day of Split is Day 13. The arrival day of Bucharest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Dubrovnik, Vienna] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Bucharest (Day 14 - 16).\n           |- The departure day of Warsaw is Day 14. The arrival day of Bucharest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split, Warsaw].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Warsaw to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Manchester (Day 22 - 26).\n             |- The departure day of Bucharest is Day 16. The arrival day of Manchester is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split, Warsaw, Bucharest].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Vienna] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Bucharest to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Bucharest to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Manchester (Day 22 - 26).\n               |- The departure day of Vienna is Day 19. The arrival day of Manchester is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split, Warsaw, Bucharest, Vienna].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Vienna to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Manchester (Day 22 - 26).\n                 |- The departure day of Dubrovnik is Day 22. The arrival day of Manchester is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split, Warsaw, Bucharest, Vienna, Dubrovnik].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                   |- Check for direct flight from Dubrovnik to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Barcelona, Istanbul, Milan, Stockholm, Split, Warsaw, Bucharest, Vienna, Dubrovnik, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Barcelona and visit Barcelona for 3 days.\n**Day 3:** Fly from Barcelona to Istanbul.\n**Day 3-5:** Visit Istanbul for 3 days.\n**Day 5:** Fly from Istanbul to Milan.\n**Day 5-8:** Visit Milan for 4 days.\n**Day 8:** Fly from Milan to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Split.\n**Day 12-13:** Visit Split for 2 days.\n**Day 13:** Fly from Split to Warsaw.\n**Day 13-14:** Visit Warsaw for 2 days.\n**Day 14:** Fly from Warsaw to Bucharest.\n**Day 14-16:** Visit Bucharest for 3 days.\n**Day 16:** Fly from Bucharest to Vienna.\n**Day 16-19:** Visit Vienna for 4 days.\n**Day 19:** Fly from Vienna to Dubrovnik.\n**Day 19-22:** Visit Dubrovnik for 4 days.\n**Day 22:** Fly from Dubrovnik to Manchester.\n**Day 22-26:** Visit Manchester for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "London**Paris**Frankfurt**Nice**Manchester**Split**Athens**Edinburgh**Brussels**Reykjavik",
    "ground_truth_durations": "3**5**3**5**2**5**4**2**5**2",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 3,
        "end_day": 7
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "London",
        "Athens"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Split"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "London",
        "Nice"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Reykjavik"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Frankfurt",
        "Nice"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Athens"
      ],
      [
        "London",
        "Brussels"
      ],
      [
        "Manchester",
        "Athens"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Split",
        "Athens"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "London",
        "Edinburgh"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "London",
        "Split"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Brussels",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You plan to stay in Split for 5 days. You want to spend 5 days in Nice. You would like to visit Athens for 4 days. You want to spend 2 days in Reykjavik. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 13 and day 14. You plan to stay in Brussels for 5 days. You want to spend 3 days in London. You are going to attend a wedding in London between day 1 and day 3. You plan to stay in Frankfurt for 3 days. You plan to visit relatives in Frankfurt between day 7 and day 9. You plan to stay in Paris for 5 days. During day 3 and day 7, you have to attend a conference in Paris.\n\nHere are the cities that have direct flights:\nNice and Edinburgh, from Brussels to Frankfurt, from Manchester to Split, Paris and Athens, London and Athens, Edinburgh and Brussels, Frankfurt and Split, Paris and Nice, Paris and Reykjavik, Paris and Frankfurt, Nice and Reykjavik, London and Nice, Frankfurt and Edinburgh, Frankfurt and Reykjavik, Athens and Brussels, London and Paris, Paris and Manchester, Frankfurt and Manchester, Frankfurt and Nice, Paris and Edinburgh, Paris and Split, London and Reykjavik, Paris and Brussels, Frankfurt and Athens, London and Brussels, Manchester and Athens, London and Manchester, Split and Athens, Athens and Edinburgh, Nice and Manchester, Nice and Athens, London and Edinburgh, from Reykjavik to Athens, Manchester and Brussels, London and Frankfurt, London and Split, Nice and Brussels, Brussels and Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Edinburgh for 2 days. You plan to stay in Split for 5 days. You want to spend 5 days in Nice. You would like to visit Athens for 4 days. You want to spend 2 days in Reykjavik. You want to spend 2 days in Manchester. You want to meet a friend in Manchester between day 13 and day 14. You plan to stay in Brussels for 5 days. You want to spend 3 days in London. You are going to attend a wedding in London between day 1 and day 3. You plan to stay in Frankfurt for 3 days. You plan to visit relatives in Frankfurt between day 7 and day 9. You plan to stay in Paris for 5 days. During day 3 and day 7, you have to attend a conference in Paris.\n\nHere are the cities that have direct flights:\nfrom Nice to Edinburgh, from Brussels to Frankfurt, from Manchester to Split, from Paris to Athens, from London to Athens, from Edinburgh to Brussels, from Frankfurt to Split, from Paris to Nice, from Paris to Reykjavik, from Paris to Frankfurt, from Nice to Reykjavik, from London to Nice, from Frankfurt to Edinburgh, from Frankfurt to Reykjavik, from Athens to Brussels, from London to Paris, from Paris to Manchester, from Frankfurt to Manchester, from Frankfurt to Nice, from Paris to Edinburgh, from Paris to Split, from London to Reykjavik, from Paris to Brussels, from Frankfurt to Athens, from London to Brussels, from Manchester to Athens, from London to Manchester, from Split to Athens, from Athens to Edinburgh, from Nice to Manchester, from Nice to Athens, from London to Edinburgh, from Reykjavik to Athens, from Manchester to Brussels, from London to Frankfurt, from London to Split, from Nice to Brussels, from Brussels to Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Athens.\n**Day 18-21:** Visit Athens for 4 days.\n**Day 21:** Fly from Athens to Edinburgh.\n**Day 21-22:** Visit Edinburgh for 2 days.\n**Day 22:** Fly from Edinburgh to Brussels.\n**Day 22-26:** Visit Brussels for 5 days.\n**Day 26:** Fly from Brussels to Reykjavik.\n**Day 26-27:** Visit Reykjavik for 2 days.",
    "id": "trip_planning_example_1517",
    "estimated_output_tokens": 3272,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Manchester, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Brussels, Duration: 5 days.\n* City: London, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 1 - 3.\n* City: Paris, Fixed Schedule: Day 3 - 7.\n* City: Frankfurt, Fixed Schedule: Day 7 - 9.\n* City: Manchester, Fixed Schedule: Day 13 - 14.\n\nCities needing arrangement:\n* City: Edinburgh, Duration: 2 days.\n* City: Split, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Brussels, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: London.\n |- Try arranging to visit London from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 3 - 7).\n |- The departure day of London is Day 3. The arrival day of Paris is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from London to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Frankfurt (Day 7 - 9).\n   |- The departure day of Paris is Day 7. The arrival day of Frankfurt is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [London, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 13 - 14).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Manchester is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [London, Paris, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Split, Nice, Athens, Reykjavik, Brussels] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Frankfurt to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 13 - 14).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Manchester is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [London, Paris, Frankfurt, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Nice, Athens, Reykjavik, Brussels] and explore these options in order.\n         |- Try arranging to visit Split from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Edinburgh to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Edinburgh to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Brussels from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Edinburgh to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 13 - 14).\n         |- The departure day of Brussels is Day 14. The arrival day of Manchester is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Frankfurt to Split.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 13 - 14).\n       |- The departure day of Split is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Paris, Frankfurt, Split].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Split to Manchester.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Frankfurt to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 13 - 14).\n       |- The departure day of Nice is Day 13. The arrival day of Manchester is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [London, Paris, Frankfurt, Nice].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Nice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [London, Paris, Frankfurt, Nice, Manchester].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Split, Athens, Reykjavik, Brussels] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Manchester to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Manchester to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [London, Paris, Frankfurt, Nice, Manchester, Split].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Athens, Reykjavik, Brussels] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Split to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Athens from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Split to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [London, Paris, Frankfurt, Nice, Manchester, Split, Athens].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Edinburgh, Reykjavik, Brussels] and explore these options in order.\n               |- Try arranging to visit Edinburgh from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Athens to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [London, Paris, Frankfurt, Nice, Manchester, Split, Athens, Edinburgh].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Reykjavik, Brussels] and explore these options in order.\n                 |- Try arranging to visit Reykjavik from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Edinburgh to Reykjavik.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Brussels from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Edinburgh to Brussels.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [London, Paris, Frankfurt, Nice, Manchester, Split, Athens, Edinburgh, Brussels].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                   |- Try arranging to visit Reykjavik from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n                   |- Check for direct flight from Brussels to Reykjavik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [London, Paris, Frankfurt, Nice, Manchester, Split, Athens, Edinburgh, Brussels, Reykjavik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in London and visit London for 3 days.\n**Day 3:** Fly from London to Paris.\n**Day 3-7:** Visit Paris for 5 days.\n**Day 7:** Fly from Paris to Frankfurt.\n**Day 7-9:** Visit Frankfurt for 3 days.\n**Day 9:** Fly from Frankfurt to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Manchester.\n**Day 13-14:** Visit Manchester for 2 days.\n**Day 14:** Fly from Manchester to Split.\n**Day 14-18:** Visit Split for 5 days.\n**Day 18:** Fly from Split to Athens.\n**Day 18-21:** Visit Athens for 4 days.\n**Day 21:** Fly from Athens to Edinburgh.\n**Day 21-22:** Visit Edinburgh for 2 days.\n**Day 22:** Fly from Edinburgh to Brussels.\n**Day 22-26:** Visit Brussels for 5 days.\n**Day 26:** Fly from Brussels to Reykjavik.\n**Day 26-27:** Visit Reykjavik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Amsterdam**Florence**London**Geneva**Budapest**Stuttgart**Krakow**Vilnius**Helsinki",
    "ground_truth_durations": "5**3**5**4**3**5**5**2**4**4",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 28,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Florence",
        "London"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Budapest"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Stuttgart",
        "Krakow"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "London",
        "Krakow"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Amsterdam",
        "Krakow"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "London",
        "Budapest"
      ],
      [
        "London",
        "Geneva"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Budapest",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 3 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 5 and day 7. You want to spend 5 days in Florence. You plan to stay in London for 4 days. You want to spend 2 days in Krakow. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 28 and day 31. You want to spend 5 days in Budapest. You would like to visit Vilnius for 4 days. You would like to visit Stuttgart for 5 days. You plan to stay in Madrid for 5 days. You have to attend a workshop in Madrid between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, Florence and London, Amsterdam and Stuttgart, Madrid and Geneva, Vilnius and Helsinki, Amsterdam and Florence, Krakow and Helsinki, London and Helsinki, Amsterdam and Vilnius, Amsterdam and Helsinki, London and Stuttgart, Amsterdam and Budapest, Madrid and Florence, Stuttgart and Krakow, Madrid and Amsterdam, Budapest and Stuttgart, Madrid and Budapest, London and Krakow, Madrid and London, Amsterdam and Geneva, Geneva and Budapest, Amsterdam and Krakow, Amsterdam and London, Geneva and Helsinki, London and Budapest, London and Geneva, Madrid and Helsinki, Budapest and Helsinki.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You plan to stay in Geneva for 3 days. You want to spend 3 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 5 and day 7. You want to spend 5 days in Florence. You plan to stay in London for 4 days. You want to spend 2 days in Krakow. You want to spend 4 days in Helsinki. You want to meet a friend in Helsinki between day 28 and day 31. You want to spend 5 days in Budapest. You would like to visit Vilnius for 4 days. You would like to visit Stuttgart for 5 days. You plan to stay in Madrid for 5 days. You have to attend a workshop in Madrid between day 1 and day 5.\n\nHere are the cities that have direct flights:\nfrom Krakow to Vilnius, from Florence to London, from Amsterdam to Stuttgart, from Madrid to Geneva, from Vilnius to Helsinki, from Amsterdam to Florence, from Krakow to Helsinki, from London to Helsinki, from Amsterdam to Vilnius, from Amsterdam to Helsinki, from London to Stuttgart, from Amsterdam to Budapest, from Madrid to Florence, from Stuttgart to Krakow, from Madrid to Amsterdam, from Budapest to Stuttgart, from Madrid to Budapest, from London to Krakow, from Madrid to London, from Amsterdam to Geneva, from Geneva to Budapest, from Amsterdam to Krakow, from Amsterdam to London, from Geneva to Helsinki, from London to Budapest, from London to Geneva, from Madrid to Helsinki, from Budapest to Helsinki.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Amsterdam.\n**Day 5-7:** Visit Amsterdam for 3 days.\n**Day 7:** Fly from Amsterdam to Florence.\n**Day 7-11:** Visit Florence for 5 days.\n**Day 11:** Fly from Florence to London.\n**Day 11-14:** Visit London for 4 days.\n**Day 14:** Fly from London to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Stuttgart.\n**Day 20-24:** Visit Stuttgart for 5 days.\n**Day 24:** Fly from Stuttgart to Krakow.\n**Day 24-25:** Visit Krakow for 2 days.\n**Day 25:** Fly from Krakow to Vilnius.\n**Day 25-28:** Visit Vilnius for 4 days.\n**Day 28:** Fly from Vilnius to Helsinki.\n**Day 28-31:** Visit Helsinki for 4 days.",
    "id": "trip_planning_example_1518",
    "estimated_output_tokens": 4628,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Geneva, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Florence, Duration: 5 days.\n* City: London, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Helsinki, Duration: 4 days, Fixed Schedule: Day 28 - 31.\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 5.\n* City: Amsterdam, Fixed Schedule: Day 5 - 7.\n* City: Helsinki, Fixed Schedule: Day 28 - 31.\n\nCities needing arrangement:\n* City: Geneva, Duration: 3 days.\n* City: Florence, Duration: 5 days.\n* City: London, Duration: 4 days.\n* City: Krakow, Duration: 2 days.\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Stuttgart, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 7).\n |- The departure day of Madrid is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Madrid to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 28 - 31).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Helsinki is Day 28. Day 7 is not later than (<=) Day 28. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Madrid, Amsterdam].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Geneva, Florence, London, Krakow, Budapest, Vilnius, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Geneva from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Amsterdam to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 28 - 31).\n     |- The departure day of Geneva is Day 9. The arrival day of Helsinki is Day 28. Day 9 is not later than (<=) Day 28. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Madrid, Amsterdam, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, London, Krakow, Budapest, Vilnius, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Geneva to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Budapest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 28 - 31).\n       |- The departure day of Budapest is Day 13. The arrival day of Helsinki is Day 28. Day 13 is not later than (<=) Day 28. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Madrid, Amsterdam, Geneva, Budapest].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Florence, London, Krakow, Vilnius, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Florence from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Budapest to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit London from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Budapest to London.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Budapest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Budapest to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Budapest to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Helsinki (Day 28 - 31).\n         |- The departure day of Stuttgart is Day 17. The arrival day of Helsinki is Day 28. Day 17 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Madrid, Amsterdam, Geneva, Budapest, Stuttgart].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, London, Krakow, Vilnius] and explore these options in order.\n           |- Try arranging to visit Florence from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Stuttgart to Florence.\n           |- No. Drop this branch.\n           |- Try arranging to visit London from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Stuttgart to London.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Stuttgart to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Helsinki (Day 28 - 31).\n           |- The departure day of Krakow is Day 18. The arrival day of Helsinki is Day 28. Day 18 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Madrid, Amsterdam, Geneva, Budapest, Stuttgart, Krakow].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Florence, London, Vilnius] and explore these options in order.\n             |- Try arranging to visit Florence from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Krakow to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit London from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Krakow to London.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Krakow to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Helsinki (Day 28 - 31).\n             |- The departure day of Vilnius is Day 21. The arrival day of Helsinki is Day 28. Day 21 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Madrid, Amsterdam, Geneva, Budapest, Stuttgart, Krakow, Vilnius].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Florence, London] and explore these options in order.\n               |- Try arranging to visit Florence from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Vilnius to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit London from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Vilnius to London.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n           |- Check for direct flight from Stuttgart to Vilnius.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Stuttgart.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Helsinki (Day 28 - 31).\n     |- The departure day of Florence is Day 11. The arrival day of Helsinki is Day 28. Day 11 is not later than (<=) Day 28. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Madrid, Amsterdam, Florence].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, London, Krakow, Budapest, Vilnius, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Florence to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Florence to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 28 - 31).\n       |- The departure day of London is Day 14. The arrival day of Helsinki is Day 28. Day 14 is not later than (<=) Day 28. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Madrid, Amsterdam, Florence, London].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Krakow, Budapest, Vilnius, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from London to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Helsinki (Day 28 - 31).\n         |- The departure day of Geneva is Day 16. The arrival day of Helsinki is Day 28. Day 16 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Madrid, Amsterdam, Florence, London, Geneva].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Vilnius, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Geneva to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Geneva to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Helsinki (Day 28 - 31).\n           |- The departure day of Budapest is Day 20. The arrival day of Helsinki is Day 28. Day 20 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Madrid, Amsterdam, Florence, London, Geneva, Budapest].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Budapest to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Budapest to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Budapest to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Helsinki (Day 28 - 31).\n             |- The departure day of Stuttgart is Day 24. The arrival day of Helsinki is Day 28. Day 24 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Madrid, Amsterdam, Florence, London, Geneva, Budapest, Stuttgart].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow, Vilnius] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n               |- Check for direct flight from Stuttgart to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Helsinki (Day 28 - 31).\n               |- The departure day of Krakow is Day 25. The arrival day of Helsinki is Day 28. Day 25 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Madrid, Amsterdam, Florence, London, Geneva, Budapest, Stuttgart, Krakow].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Krakow to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Helsinki (Day 28 - 31).\n                 |- The departure day of Vilnius is Day 28. The arrival day of Helsinki is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Madrid, Amsterdam, Florence, London, Geneva, Budapest, Stuttgart, Krakow, Vilnius].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Helsinki.\n                   |- Try arranging to visit Helsinki from Day 28. Duration: 4 days. Schedule: Day 28 - 31.\n                   |- Check for direct flight from Vilnius to Helsinki.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Madrid, Amsterdam, Florence, London, Geneva, Budapest, Stuttgart, Krakow, Vilnius, Helsinki].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Madrid and visit Madrid for 5 days.\n**Day 5:** Fly from Madrid to Amsterdam.\n**Day 5-7:** Visit Amsterdam for 3 days.\n**Day 7:** Fly from Amsterdam to Florence.\n**Day 7-11:** Visit Florence for 5 days.\n**Day 11:** Fly from Florence to London.\n**Day 11-14:** Visit London for 4 days.\n**Day 14:** Fly from London to Geneva.\n**Day 14-16:** Visit Geneva for 3 days.\n**Day 16:** Fly from Geneva to Budapest.\n**Day 16-20:** Visit Budapest for 5 days.\n**Day 20:** Fly from Budapest to Stuttgart.\n**Day 20-24:** Visit Stuttgart for 5 days.\n**Day 24:** Fly from Stuttgart to Krakow.\n**Day 24-25:** Visit Krakow for 2 days.\n**Day 25:** Fly from Krakow to Vilnius.\n**Day 25-28:** Visit Vilnius for 4 days.\n**Day 28:** Fly from Vilnius to Helsinki.\n**Day 28-31:** Visit Helsinki for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Santorini**Venice**Munich**Valencia**Porto**Nice**Riga**Oslo**Dubrovnik",
    "ground_truth_durations": "2**5**2**3**3**3**3**2**4**5",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Valencia",
        "Porto"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Nice",
        "Oslo"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Oslo",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Munich",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You plan to stay in Oslo for 4 days. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 11 and day 13. You want to spend 2 days in Riga. You plan to stay in Valencia for 3 days. You want to spend 3 days in Nice. You want to spend 2 days in Bucharest. During day 1 and day 2, you have to attend a conference in Bucharest. You would like to visit Dubrovnik for 5 days. You plan to stay in Munich for 3 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, Munich and Oslo, Nice and Riga, Bucharest and Munich, Riga and Oslo, Bucharest and Valencia, Valencia and Porto, Venice and Nice, Venice and Oslo, Nice and Oslo, Munich and Valencia, from Riga to Munich, Bucharest and Oslo, Santorini and Venice, Bucharest and Santorini, Porto and Oslo, Oslo and Dubrovnik, Munich and Dubrovnik, Porto and Nice, Bucharest and Riga, Venice and Munich, Munich and Porto, Munich and Nice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Venice for 2 days. You plan to stay in Oslo for 4 days. You want to spend 3 days in Porto. You plan to visit relatives in Porto between day 11 and day 13. You want to spend 2 days in Riga. You plan to stay in Valencia for 3 days. You want to spend 3 days in Nice. You want to spend 2 days in Bucharest. During day 1 and day 2, you have to attend a conference in Bucharest. You would like to visit Dubrovnik for 5 days. You plan to stay in Munich for 3 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Santorini to Oslo, from Munich to Oslo, from Nice to Riga, from Bucharest to Munich, from Riga to Oslo, from Bucharest to Valencia, from Valencia to Porto, from Venice to Nice, from Venice to Oslo, from Nice to Oslo, from Munich to Valencia, from Riga to Munich, from Bucharest to Oslo, from Santorini to Venice, from Bucharest to Santorini, from Porto to Oslo, from Oslo to Dubrovnik, from Munich to Dubrovnik, from Porto to Nice, from Bucharest to Riga, from Venice to Munich, from Munich to Porto, from Munich to Nice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Santorini.\n**Day 2-6:** Visit Santorini for 5 days.\n**Day 6:** Fly from Santorini to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.\n**Day 19:** Fly from Oslo to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.",
    "id": "trip_planning_example_1519",
    "estimated_output_tokens": 15241,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Porto, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Riga, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Dubrovnik, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 2.\n* City: Porto, Fixed Schedule: Day 11 - 13.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Oslo, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Nice, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 11 - 13).\n |- The departure day of Bucharest is Day 2. The arrival day of Porto is Day 11. Day 2 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Valencia, Nice, Dubrovnik, Munich, Santorini] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Oslo from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Oslo is Day 5. The arrival day of Porto is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Bucharest, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Valencia, Nice, Dubrovnik, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Oslo to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n     |- The departure day of Dubrovnik is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Bucharest, Oslo, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Valencia, Nice, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dubrovnik to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Dubrovnik to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dubrovnik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dubrovnik to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Dubrovnik to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Dubrovnik to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Oslo to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Bucharest to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Riga is Day 3. The arrival day of Porto is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Bucharest, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Valencia, Nice, Dubrovnik, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Riga to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 11 - 13).\n     |- The departure day of Oslo is Day 6. The arrival day of Porto is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Riga, Oslo].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Nice, Dubrovnik, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Oslo to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Oslo to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Oslo to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Oslo to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 11 - 13).\n       |- The departure day of Dubrovnik is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Bucharest, Riga, Oslo, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Nice, Munich, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Dubrovnik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Dubrovnik to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Dubrovnik to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Dubrovnik to Munich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Dubrovnik to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Oslo to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 11 - 13).\n     |- The departure day of Munich is Day 5. The arrival day of Porto is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Bucharest, Riga, Munich].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Valencia, Nice, Dubrovnik, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Munich to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Munich to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n       |- The departure day of Oslo is Day 8. The arrival day of Porto is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Bucharest, Riga, Munich, Oslo].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Nice, Dubrovnik, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Oslo to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Oslo to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Porto (Day 11 - 13).\n         |- The departure day of Dubrovnik is Day 12. The arrival day of Porto is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Munich to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n       |- The departure day of Valencia is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Riga, Munich, Valencia].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Nice, Dubrovnik, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Valencia to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Valencia to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Valencia to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Valencia to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Valencia to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Munich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n       |- The departure day of Nice is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Riga, Munich, Nice].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Valencia, Dubrovnik, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Nice to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Nice to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n         |- The departure day of Oslo is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Bucharest, Riga, Munich, Nice, Oslo].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Dubrovnik, Santorini] and explore these options in order.\n           |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Oslo to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Oslo to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n           |- The departure day of Dubrovnik is Day 14. The arrival day of Porto is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Nice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Nice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Nice to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Munich to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 11 - 13).\n       |- The departure day of Dubrovnik is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Riga, Munich, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Valencia, Nice, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Dubrovnik to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Dubrovnik to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Dubrovnik to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Dubrovnik to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Dubrovnik to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Munich to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Valencia is Day 4. The arrival day of Porto is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Nice, Dubrovnik, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Valencia to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Valencia to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Munich is Day 4. The arrival day of Porto is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Valencia, Nice, Dubrovnik, Santorini] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Munich to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 11 - 13).\n     |- The departure day of Oslo is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Munich, Oslo].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Valencia, Nice, Dubrovnik, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Oslo to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Oslo to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Oslo to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Bucharest, Munich, Oslo, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n         |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Dubrovnik to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Oslo to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Munich to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Munich to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 11 - 13).\n     |- The departure day of Valencia is Day 6. The arrival day of Porto is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Munich, Valencia].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Nice, Dubrovnik, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Valencia to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Valencia to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Valencia to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Valencia to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Valencia to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Valencia to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Munich to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 11 - 13).\n     |- The departure day of Nice is Day 6. The arrival day of Porto is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Munich, Nice].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Valencia, Dubrovnik, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Nice to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Nice to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 11 - 13).\n       |- The departure day of Oslo is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Munich, Nice, Oslo].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Riga, Valencia, Dubrovnik, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Oslo to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Oslo to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 13).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Porto is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Oslo to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Nice to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 11 - 13).\n       |- The departure day of Riga is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Bucharest, Munich, Nice, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Valencia, Dubrovnik, Santorini] and explore these options in order.\n         |- Try arranging to visit Venice from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Riga to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Riga to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n         |- The departure day of Oslo is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Bucharest, Munich, Nice, Riga, Oslo].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Venice, Valencia, Dubrovnik, Santorini] and explore these options in order.\n           |- Try arranging to visit Venice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Oslo to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Oslo to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n           |- The departure day of Dubrovnik is Day 14. The arrival day of Porto is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Oslo to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Riga to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Riga to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Nice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Nice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Nice to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Porto (Day 11 - 13).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Porto is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Valencia, Nice, Santorini] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dubrovnik to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Dubrovnik to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dubrovnik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Dubrovnik to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 11 - 13).\n   |- The departure day of Santorini is Day 6. The arrival day of Porto is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Santorini].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Oslo, Riga, Valencia, Nice, Dubrovnik, Munich] and explore these options in order.\n     |- Try arranging to visit Venice from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Santorini to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Porto (Day 11 - 13).\n     |- The departure day of Venice is Day 7. The arrival day of Porto is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Santorini, Venice].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Riga, Valencia, Nice, Dubrovnik, Munich] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Venice to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n       |- The departure day of Oslo is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Bucharest, Santorini, Venice, Oslo].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Valencia, Nice, Dubrovnik, Munich] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Oslo to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Oslo to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Oslo to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Oslo to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n         |- The departure day of Dubrovnik is Day 14. The arrival day of Porto is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Oslo to Munich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Venice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Venice to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n       |- The departure day of Nice is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Santorini, Venice, Nice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Riga, Valencia, Dubrovnik, Munich] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Nice to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 13).\n         |- The departure day of Oslo is Day 12. The arrival day of Porto is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Nice to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 13).\n         |- The departure day of Riga is Day 10. The arrival day of Porto is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Bucharest, Santorini, Venice, Nice, Riga].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Valencia, Dubrovnik, Munich] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Riga to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n           |- The departure day of Oslo is Day 13. The arrival day of Porto is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Riga to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Riga to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Riga to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Porto (Day 11 - 13).\n           |- The departure day of Munich is Day 12. The arrival day of Porto is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Nice to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Nice to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Nice to Munich.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Venice to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Venice to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Porto (Day 11 - 13).\n       |- The departure day of Munich is Day 9. The arrival day of Porto is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Bucharest, Santorini, Venice, Munich].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Riga, Valencia, Nice, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Munich to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 13).\n         |- The departure day of Oslo is Day 12. The arrival day of Porto is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Munich to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Munich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 11 - 13).\n         |- The departure day of Valencia is Day 11. The arrival day of Porto is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Porto.\n           |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Valencia to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Riga, Nice, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Porto to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Oslo].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Nice, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Oslo to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Nice from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Oslo to Nice.\n               |- No. Drop this branch.\n               |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Oslo to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Oslo, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga, Nice] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Dubrovnik to Riga.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Nice from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Dubrovnik to Nice.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Porto to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Porto to Nice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Oslo, Riga, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Oslo from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Nice to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice, Oslo].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga, Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Oslo to Riga.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Dubrovnik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n                 |- Check for direct flight from Oslo to Dubrovnik.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice, Oslo, Dubrovnik].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                   |- Check for direct flight from Dubrovnik to Riga.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Nice to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice, Riga].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Oslo, Dubrovnik] and explore these options in order.\n                 |- Try arranging to visit Oslo from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Riga to Oslo.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice, Riga, Oslo].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                   |- Check for direct flight from Oslo to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Bucharest, Santorini, Venice, Munich, Valencia, Porto, Nice, Riga, Oslo, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Bucharest and visit Bucharest for 2 days.\n**Day 2:** Fly from Bucharest to Santorini.\n**Day 2-6:** Visit Santorini for 5 days.\n**Day 6:** Fly from Santorini to Venice.\n**Day 6-7:** Visit Venice for 2 days.\n**Day 7:** Fly from Venice to Munich.\n**Day 7-9:** Visit Munich for 3 days.\n**Day 9:** Fly from Munich to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Porto.\n**Day 11-13:** Visit Porto for 3 days.\n**Day 13:** Fly from Porto to Nice.\n**Day 13-15:** Visit Nice for 3 days.\n**Day 15:** Fly from Nice to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Oslo.\n**Day 16-19:** Visit Oslo for 4 days.\n**Day 19:** Fly from Oslo to Dubrovnik.\n**Day 19-23:** Visit Dubrovnik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Geneva**Madrid**Venice**Edinburgh**Riga**Brussels**Valencia**Lyon**Frankfurt**Salzburg",
    "ground_truth_durations": "4**2**5**2**3**3**2**5**3**3",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Lyon"
      ],
      [
        "Geneva",
        "Madrid"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Venice"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Brussels",
        "Lyon"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Brussels"
      ],
      [
        "Venice",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Brussels",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Brussels. You are going to attend a wedding in Brussels between day 12 and day 14. You would like to visit Lyon for 5 days. You plan to visit relatives in Lyon between day 15 and day 19. You plan to stay in Riga for 3 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 14 and day 15. You would like to visit Venice for 5 days. You want to spend 3 days in Salzburg. You plan to stay in Edinburgh for 2 days. You would like to visit Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 19 and day 21. You want to spend 2 days in Madrid. You would like to visit Geneva for 4 days. You would like to meet your friends at Geneva between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nEdinburgh and Frankfurt, Madrid and Lyon, Geneva and Madrid, Lyon and Frankfurt, Edinburgh and Riga, from Brussels to Frankfurt, Madrid and Venice, Venice and Lyon, Venice and Brussels, Brussels and Lyon, Frankfurt and Salzburg, Valencia and Frankfurt, Valencia and Lyon, Geneva and Frankfurt, Geneva and Valencia, Riga and Brussels, Madrid and Brussels, Madrid and Valencia, Venice and Frankfurt, Geneva and Brussels, Riga and Frankfurt, Madrid and Edinburgh, Madrid and Frankfurt, Edinburgh and Brussels, Venice and Edinburgh, Geneva and Edinburgh, Brussels and Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Brussels. You are going to attend a wedding in Brussels between day 12 and day 14. You would like to visit Lyon for 5 days. You plan to visit relatives in Lyon between day 15 and day 19. You plan to stay in Riga for 3 days. You would like to visit Valencia for 2 days. You have to attend a workshop in Valencia between day 14 and day 15. You would like to visit Venice for 5 days. You want to spend 3 days in Salzburg. You plan to stay in Edinburgh for 2 days. You would like to visit Frankfurt for 3 days. You want to meet a friend in Frankfurt between day 19 and day 21. You want to spend 2 days in Madrid. You would like to visit Geneva for 4 days. You would like to meet your friends at Geneva between day 1 and day 4 to tour together.\n\nHere are the cities that have direct flights:\nfrom Edinburgh to Frankfurt, from Madrid to Lyon, from Geneva to Madrid, from Lyon to Frankfurt, from Edinburgh to Riga, from Brussels to Frankfurt, from Madrid to Venice, from Venice to Lyon, from Venice to Brussels, from Brussels to Lyon, from Frankfurt to Salzburg, from Valencia to Frankfurt, from Valencia to Lyon, from Geneva to Frankfurt, from Geneva to Valencia, from Riga to Brussels, from Madrid to Brussels, from Madrid to Valencia, from Venice to Frankfurt, from Geneva to Brussels, from Riga to Frankfurt, from Madrid to Edinburgh, from Madrid to Frankfurt, from Edinburgh to Brussels, from Venice to Edinburgh, from Geneva to Edinburgh, from Brussels to Valencia.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Riga.\n**Day 10-12:** Visit Riga for 3 days.\n**Day 12:** Fly from Riga to Brussels.\n**Day 12-14:** Visit Brussels for 3 days.\n**Day 14:** Fly from Brussels to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Lyon.\n**Day 15-19:** Visit Lyon for 5 days.\n**Day 19:** Fly from Lyon to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.\n**Day 21:** Fly from Frankfurt to Salzburg.\n**Day 21-23:** Visit Salzburg for 3 days.",
    "id": "trip_planning_example_1520",
    "estimated_output_tokens": 3498,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Lyon, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Riga, Duration: 3 days.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Venice, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Madrid, Duration: 2 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 1 - 4.\n* City: Brussels, Fixed Schedule: Day 12 - 14.\n* City: Valencia, Fixed Schedule: Day 14 - 15.\n* City: Lyon, Fixed Schedule: Day 15 - 19.\n* City: Frankfurt, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Riga, Duration: 3 days.\n* City: Venice, Duration: 5 days.\n* City: Salzburg, Duration: 3 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Geneva.\n |- Try arranging to visit Geneva from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Geneva.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Brussels (Day 12 - 14).\n |- The departure day of Geneva is Day 4. The arrival day of Brussels is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Geneva].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Salzburg, Edinburgh, Madrid] and explore these options in order.\n   |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Riga.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Geneva to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Geneva to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 12 - 14).\n   |- The departure day of Edinburgh is Day 5. The arrival day of Brussels is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Edinburgh].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Salzburg, Madrid] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Edinburgh to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 12 - 14).\n     |- The departure day of Riga is Day 7. The arrival day of Brussels is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Geneva, Edinburgh, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Salzburg, Madrid] and explore these options in order.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Madrid from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Riga to Madrid.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Edinburgh to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Edinburgh to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Edinburgh to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Geneva to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Brussels (Day 12 - 14).\n   |- The departure day of Madrid is Day 5. The arrival day of Brussels is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Geneva, Madrid].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Venice, Salzburg, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Riga from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Madrid to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Madrid to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 12 - 14).\n     |- The departure day of Venice is Day 9. The arrival day of Brussels is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Geneva, Madrid, Venice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Salzburg, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Riga from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Venice to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Venice to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 12 - 14).\n       |- The departure day of Edinburgh is Day 10. The arrival day of Brussels is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Geneva, Madrid, Venice, Edinburgh].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Salzburg] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Edinburgh to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Brussels (Day 12 - 14).\n         |- The departure day of Riga is Day 12. The arrival day of Brussels is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Brussels.\n           |- Try arranging to visit Brussels from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Riga to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Valencia (Day 14 - 15).\n           |- The departure day of Brussels is Day 14. The arrival day of Valencia is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga, Brussels].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Valencia.\n             |- Try arranging to visit Valencia from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Brussels to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Lyon (Day 15 - 19).\n             |- The departure day of Valencia is Day 15. The arrival day of Lyon is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga, Brussels, Valencia].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Valencia to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 19 - 21).\n               |- The departure day of Lyon is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga, Brussels, Valencia, Lyon].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Lyon to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga, Brussels, Valencia, Lyon, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                   |- Check for direct flight from Frankfurt to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Geneva, Madrid, Venice, Edinburgh, Riga, Brussels, Valencia, Lyon, Frankfurt, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Geneva and visit Geneva for 4 days.\n**Day 4:** Fly from Geneva to Madrid.\n**Day 4-5:** Visit Madrid for 2 days.\n**Day 5:** Fly from Madrid to Venice.\n**Day 5-9:** Visit Venice for 5 days.\n**Day 9:** Fly from Venice to Edinburgh.\n**Day 9-10:** Visit Edinburgh for 2 days.\n**Day 10:** Fly from Edinburgh to Riga.\n**Day 10-12:** Visit Riga for 3 days.\n**Day 12:** Fly from Riga to Brussels.\n**Day 12-14:** Visit Brussels for 3 days.\n**Day 14:** Fly from Brussels to Valencia.\n**Day 14-15:** Visit Valencia for 2 days.\n**Day 15:** Fly from Valencia to Lyon.\n**Day 15-19:** Visit Lyon for 5 days.\n**Day 19:** Fly from Lyon to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.\n**Day 21:** Fly from Frankfurt to Salzburg.\n**Day 21-23:** Visit Salzburg for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Lisbon**Istanbul**Oslo**Reykjavik**Budapest**Hamburg**Bucharest**Lyon**Frankfurt",
    "ground_truth_durations": "4**4**4**3**3**2**2**3**3**3",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Hamburg",
        "Bucharest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Budapest",
        "Hamburg"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Istanbul"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Istanbul",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 4 days. You would like to visit Hamburg for 2 days. You would like to visit Florence for 4 days. You want to meet a friend in Florence between day 1 and day 4. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 12 and day 14 to tour together. You would like to visit Frankfurt for 3 days. From day 20 to day 22, there is a annual show you want to attend in Frankfurt. You would like to visit Lyon for 3 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 10 and day 12. You plan to stay in Budapest for 2 days. You plan to stay in Bucharest for 3 days. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 7 and day 10.\n\nHere are the cities that have direct flights:\nIstanbul and Bucharest, Reykjavik and Frankfurt, Lisbon and Frankfurt, Istanbul and Budapest, Budapest and Frankfurt, Lisbon and Oslo, Lisbon and Bucharest, Hamburg and Frankfurt, Florence and Frankfurt, Istanbul and Lyon, Lisbon and Reykjavik, Hamburg and Bucharest, Budapest and Bucharest, Lyon and Frankfurt, Istanbul and Frankfurt, Oslo and Frankfurt, Oslo and Hamburg, Bucharest and Lyon, Lisbon and Hamburg, Reykjavik and Budapest, Budapest and Hamburg, Istanbul and Hamburg, Oslo and Budapest, Oslo and Reykjavik, Oslo and Bucharest, Bucharest and Frankfurt, Lisbon and Budapest, Lisbon and Lyon, Florence and Lisbon, Lisbon and Istanbul, Oslo and Lyon, Istanbul and Oslo.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Lisbon for 4 days. You would like to visit Hamburg for 2 days. You would like to visit Florence for 4 days. You want to meet a friend in Florence between day 1 and day 4. You would like to visit Reykjavik for 3 days. You would like to meet your friends at Reykjavik between day 12 and day 14 to tour together. You would like to visit Frankfurt for 3 days. From day 20 to day 22, there is a annual show you want to attend in Frankfurt. You would like to visit Lyon for 3 days. You would like to visit Oslo for 3 days. You plan to visit relatives in Oslo between day 10 and day 12. You plan to stay in Budapest for 2 days. You plan to stay in Bucharest for 3 days. You plan to stay in Istanbul for 4 days. You have to attend a workshop in Istanbul between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Bucharest, from Reykjavik to Frankfurt, from Lisbon to Frankfurt, from Istanbul to Budapest, from Budapest to Frankfurt, from Lisbon to Oslo, from Lisbon to Bucharest, from Hamburg to Frankfurt, from Florence to Frankfurt, from Istanbul to Lyon, from Lisbon to Reykjavik, from Hamburg to Bucharest, from Budapest to Bucharest, from Lyon to Frankfurt, from Istanbul to Frankfurt, from Oslo to Frankfurt, from Oslo to Hamburg, from Bucharest to Lyon, from Lisbon to Hamburg, from Reykjavik to Budapest, from Budapest to Hamburg, from Istanbul to Hamburg, from Oslo to Budapest, from Oslo to Reykjavik, from Oslo to Bucharest, from Bucharest to Frankfurt, from Lisbon to Budapest, from Lisbon to Lyon, from Florence to Lisbon, from Lisbon to Istanbul, from Oslo to Lyon, from Istanbul to Oslo.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n**Day 14:** Fly from Reykjavik to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Lyon.\n**Day 18-20:** Visit Lyon for 3 days.\n**Day 20:** Fly from Lyon to Frankfurt.\n**Day 20-22:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_1521",
    "estimated_output_tokens": 2724,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lisbon, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Lyon, Duration: 3 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Budapest, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 7 - 10.\n* City: Oslo, Fixed Schedule: Day 10 - 12.\n* City: Reykjavik, Fixed Schedule: Day 12 - 14.\n* City: Frankfurt, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Lisbon, Duration: 4 days.\n* City: Hamburg, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n* City: Budapest, Duration: 2 days.\n* City: Bucharest, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Florence.\n |- Try arranging to visit Florence from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 7 - 10).\n |- The departure day of Florence is Day 4. The arrival day of Istanbul is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lisbon, Hamburg, Lyon, Budapest, Bucharest] and explore these options in order.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Florence to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 7 - 10).\n   |- The departure day of Lisbon is Day 7. The arrival day of Istanbul is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Florence, Lisbon].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Lisbon to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 10 - 12).\n     |- The departure day of Istanbul is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Florence, Lisbon, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n       |- Try arranging to visit Oslo from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Istanbul to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 12 - 14).\n       |- The departure day of Oslo is Day 12. The arrival day of Reykjavik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Florence, Lisbon, Istanbul, Oslo].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Oslo to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Frankfurt (Day 20 - 22).\n         |- The departure day of Reykjavik is Day 14. The arrival day of Frankfurt is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Budapest, Bucharest] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Reykjavik to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Reykjavik to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Budapest from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Reykjavik to Budapest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Frankfurt (Day 20 - 22).\n           |- The departure day of Budapest is Day 15. The arrival day of Frankfurt is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik, Budapest].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Bucharest] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Budapest to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 20 - 22).\n             |- The departure day of Hamburg is Day 16. The arrival day of Frankfurt is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik, Budapest, Hamburg].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Bucharest] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Hamburg to Lyon.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Hamburg to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 20 - 22).\n               |- The departure day of Bucharest is Day 18. The arrival day of Frankfurt is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik, Budapest, Hamburg, Bucharest].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Lyon] and explore these options in order.\n                 |- Try arranging to visit Lyon from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                 |- Check for direct flight from Bucharest to Lyon.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 20 - 22).\n                 |- The departure day of Lyon is Day 20. The arrival day of Frankfurt is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik, Budapest, Hamburg, Bucharest, Lyon].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- Yes. The city with an arrival day of Day 20 - is fixed: Frankfurt.\n                   |- Try arranging to visit Frankfurt from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                   |- Check for direct flight from Lyon to Frankfurt.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Florence, Lisbon, Istanbul, Oslo, Reykjavik, Budapest, Hamburg, Bucharest, Lyon, Frankfurt].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Florence and visit Florence for 4 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-7:** Visit Lisbon for 4 days.\n**Day 7:** Fly from Lisbon to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Oslo.\n**Day 10-12:** Visit Oslo for 3 days.\n**Day 12:** Fly from Oslo to Reykjavik.\n**Day 12-14:** Visit Reykjavik for 3 days.\n**Day 14:** Fly from Reykjavik to Budapest.\n**Day 14-15:** Visit Budapest for 2 days.\n**Day 15:** Fly from Budapest to Hamburg.\n**Day 15-16:** Visit Hamburg for 2 days.\n**Day 16:** Fly from Hamburg to Bucharest.\n**Day 16-18:** Visit Bucharest for 3 days.\n**Day 18:** Fly from Bucharest to Lyon.\n**Day 18-20:** Visit Lyon for 3 days.\n**Day 20:** Fly from Lyon to Frankfurt.\n**Day 20-22:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Barcelona**Budapest**Copenhagen**Athens**Dubrovnik**Oslo**Krakow**Stockholm**Stuttgart",
    "ground_truth_durations": "2**3**5**3**4**5**2**3**2**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 8,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Barcelona",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Athens"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Oslo"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Dubrovnik"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Lyon",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Krakow",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Athens"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 1 and day 2. You would like to visit Athens for 4 days. You plan to stay in Krakow for 3 days. You plan to stay in Barcelona for 3 days. You want to spend 2 days in Oslo. During day 17 and day 18, you have to attend a conference in Oslo. You want to spend 3 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 8 and day 10. You would like to visit Dubrovnik for 5 days. From day 13 to day 17, there is a annual show you want to attend in Dubrovnik. You want to spend 2 days in Stockholm. You plan to visit relatives in Stockholm between day 20 and day 21. You want to spend 5 days in Budapest. You want to spend 4 days in Stuttgart.\n\nHere are the cities that have direct flights:\nBarcelona and Budapest, Barcelona and Stuttgart, Barcelona and Athens, Barcelona and Copenhagen, Copenhagen and Oslo, Athens and Stuttgart, Copenhagen and Dubrovnik, Budapest and Copenhagen, Barcelona and Oslo, Lyon and Barcelona, Barcelona and Stockholm, Stockholm and Stuttgart, Dubrovnik and Oslo, Lyon and Oslo, Dubrovnik and Stockholm, Krakow and Stockholm, Copenhagen and Krakow, Budapest and Oslo, Athens and Dubrovnik, Athens and Oslo, Athens and Stockholm, Copenhagen and Athens, Budapest and Stuttgart, Oslo and Krakow, Krakow and Stuttgart, Copenhagen and Stuttgart, Barcelona and Dubrovnik, Oslo and Stockholm, Copenhagen and Stockholm, Barcelona and Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Lyon for 2 days. You want to meet a friend in Lyon between day 1 and day 2. You would like to visit Athens for 4 days. You plan to stay in Krakow for 3 days. You plan to stay in Barcelona for 3 days. You want to spend 2 days in Oslo. During day 17 and day 18, you have to attend a conference in Oslo. You want to spend 3 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 8 and day 10. You would like to visit Dubrovnik for 5 days. From day 13 to day 17, there is a annual show you want to attend in Dubrovnik. You want to spend 2 days in Stockholm. You plan to visit relatives in Stockholm between day 20 and day 21. You want to spend 5 days in Budapest. You want to spend 4 days in Stuttgart.\n\nHere are the cities that have direct flights:\nfrom Barcelona to Budapest, from Barcelona to Stuttgart, from Barcelona to Athens, from Barcelona to Copenhagen, from Copenhagen to Oslo, from Athens to Stuttgart, from Copenhagen to Dubrovnik, from Budapest to Copenhagen, from Barcelona to Oslo, from Lyon to Barcelona, from Barcelona to Stockholm, from Stockholm to Stuttgart, from Dubrovnik to Oslo, from Lyon to Oslo, from Dubrovnik to Stockholm, from Krakow to Stockholm, from Copenhagen to Krakow, from Budapest to Oslo, from Athens to Dubrovnik, from Athens to Oslo, from Athens to Stockholm, from Copenhagen to Athens, from Budapest to Stuttgart, from Oslo to Krakow, from Krakow to Stuttgart, from Copenhagen to Stuttgart, from Barcelona to Dubrovnik, from Oslo to Stockholm, from Copenhagen to Stockholm, from Barcelona to Krakow.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Barcelona.\n**Day 2-4:** Visit Barcelona for 3 days.\n**Day 4:** Fly from Barcelona to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Oslo.\n**Day 17-18:** Visit Oslo for 2 days.\n**Day 18:** Fly from Oslo to Krakow.\n**Day 18-20:** Visit Krakow for 3 days.\n**Day 20:** Fly from Krakow to Stockholm.\n**Day 20-21:** Visit Stockholm for 2 days.\n**Day 21:** Fly from Stockholm to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.",
    "id": "trip_planning_example_1522",
    "estimated_output_tokens": 3463,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Athens, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Barcelona, Duration: 3 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 8 - 10.\n* City: Dubrovnik, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Budapest, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lyon, Fixed Schedule: Day 1 - 2.\n* City: Copenhagen, Fixed Schedule: Day 8 - 10.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 17.\n* City: Oslo, Fixed Schedule: Day 17 - 18.\n* City: Stockholm, Fixed Schedule: Day 20 - 21.\n\nCities needing arrangement:\n* City: Athens, Duration: 4 days.\n* City: Krakow, Duration: 3 days.\n* City: Barcelona, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Lyon.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 8 - 10).\n |- The departure day of Lyon is Day 2. The arrival day of Copenhagen is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Krakow, Barcelona, Budapest, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Athens from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Lyon to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Lyon to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 8 - 10).\n   |- The departure day of Barcelona is Day 4. The arrival day of Copenhagen is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Lyon, Barcelona].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Krakow, Budapest, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Athens from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Barcelona to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 10).\n     |- The departure day of Athens is Day 7. The arrival day of Copenhagen is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Lyon, Barcelona, Athens].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Budapest, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Athens to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Athens to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Athens to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Copenhagen (Day 8 - 10).\n       |- The departure day of Stuttgart is Day 10. The arrival day of Copenhagen is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Krakow from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Barcelona to Krakow.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 10).\n     |- The departure day of Krakow is Day 6. The arrival day of Copenhagen is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Barcelona, Krakow].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Budapest, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Athens from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Krakow to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Krakow to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Krakow to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 8 - 10).\n       |- The departure day of Stuttgart is Day 9. The arrival day of Copenhagen is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Barcelona to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 8 - 10).\n     |- The departure day of Budapest is Day 8. The arrival day of Copenhagen is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Lyon, Barcelona, Budapest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Copenhagen.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Budapest to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 13 - 17).\n       |- The departure day of Copenhagen is Day 10. The arrival day of Dubrovnik is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Barcelona, Budapest, Copenhagen].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Krakow, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Copenhagen to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 17).\n         |- The departure day of Athens is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Athens to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 17 - 18).\n           |- The departure day of Dubrovnik is Day 17. The arrival day of Oslo is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens, Dubrovnik].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Dubrovnik to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stockholm (Day 20 - 21).\n             |- The departure day of Oslo is Day 18. The arrival day of Stockholm is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens, Dubrovnik, Oslo].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Oslo to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Stockholm (Day 20 - 21).\n               |- The departure day of Krakow is Day 20. The arrival day of Stockholm is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens, Dubrovnik, Oslo, Krakow].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Krakow to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens, Dubrovnik, Oslo, Krakow, Stockholm].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                   |- Try arranging to visit Stuttgart from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Stockholm to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Lyon, Barcelona, Budapest, Copenhagen, Athens, Dubrovnik, Oslo, Krakow, Stockholm, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Barcelona.\n**Day 2-4:** Visit Barcelona for 3 days.\n**Day 4:** Fly from Barcelona to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Copenhagen.\n**Day 8-10:** Visit Copenhagen for 3 days.\n**Day 10:** Fly from Copenhagen to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Dubrovnik.\n**Day 13-17:** Visit Dubrovnik for 5 days.\n**Day 17:** Fly from Dubrovnik to Oslo.\n**Day 17-18:** Visit Oslo for 2 days.\n**Day 18:** Fly from Oslo to Krakow.\n**Day 18-20:** Visit Krakow for 3 days.\n**Day 20:** Fly from Krakow to Stockholm.\n**Day 20-21:** Visit Stockholm for 2 days.\n**Day 21:** Fly from Stockholm to Stuttgart.\n**Day 21-24:** Visit Stuttgart for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Paris**Athens**Barcelona**Krakow**Helsinki**Geneva**Naples**Bucharest**Brussels",
    "ground_truth_durations": "4**2**2**2**3**4**2**5**3**2",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Geneva"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Naples",
        "Brussels"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Athens",
        "Naples"
      ],
      [
        "Geneva",
        "Brussels"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Barcelona",
        "Naples"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Bucharest",
        "Brussels"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Barcelona",
        "Brussels"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Paris",
        "Brussels"
      ],
      [
        "Athens",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. From day 5 to day 6, there is a annual show you want to attend in Athens. You would like to visit Paris for 2 days. During day 4 and day 5, you have to attend a conference in Paris. You would like to visit Bucharest for 3 days. You would like to visit Brussels for 2 days. You want to meet a friend in Brussels between day 19 and day 20. You want to spend 5 days in Naples. You want to spend 4 days in Helsinki. You want to spend 2 days in Geneva. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 1 and day 4. You want to spend 3 days in Krakow. You have to attend a workshop in Krakow between day 7 and day 9. You want to spend 2 days in Barcelona.\n\nHere are the cities that have direct flights:\nParis and Geneva, Paris and Helsinki, Vilnius and Athens, Vilnius and Brussels, Paris and Naples, Naples and Brussels, Geneva and Naples, Paris and Barcelona, Athens and Naples, Geneva and Brussels, Athens and Geneva, Barcelona and Naples, Athens and Brussels, Barcelona and Bucharest, Barcelona and Helsinki, Bucharest and Brussels, Paris and Bucharest, from Krakow to Vilnius, Vilnius and Helsinki, Naples and Bucharest, Vilnius and Paris, Helsinki and Brussels, Helsinki and Naples, Helsinki and Geneva, Barcelona and Krakow, Barcelona and Brussels, Barcelona and Geneva, Paris and Athens, Athens and Bucharest, Paris and Krakow, Krakow and Helsinki, Krakow and Brussels, Paris and Brussels, Athens and Barcelona.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Athens for 2 days. From day 5 to day 6, there is a annual show you want to attend in Athens. You would like to visit Paris for 2 days. During day 4 and day 5, you have to attend a conference in Paris. You would like to visit Bucharest for 3 days. You would like to visit Brussels for 2 days. You want to meet a friend in Brussels between day 19 and day 20. You want to spend 5 days in Naples. You want to spend 4 days in Helsinki. You want to spend 2 days in Geneva. You would like to visit Vilnius for 4 days. You are going to attend a wedding in Vilnius between day 1 and day 4. You want to spend 3 days in Krakow. You have to attend a workshop in Krakow between day 7 and day 9. You want to spend 2 days in Barcelona.\n\nHere are the cities that have direct flights:\nfrom Paris to Geneva, from Paris to Helsinki, from Vilnius to Athens, from Vilnius to Brussels, from Paris to Naples, from Naples to Brussels, from Geneva to Naples, from Paris to Barcelona, from Athens to Naples, from Geneva to Brussels, from Athens to Geneva, from Barcelona to Naples, from Athens to Brussels, from Barcelona to Bucharest, from Barcelona to Helsinki, from Bucharest to Brussels, from Paris to Bucharest, from Krakow to Vilnius, from Vilnius to Helsinki, from Naples to Bucharest, from Vilnius to Paris, from Helsinki to Brussels, from Helsinki to Naples, from Helsinki to Geneva, from Barcelona to Krakow, from Barcelona to Brussels, from Barcelona to Geneva, from Paris to Athens, from Athens to Bucharest, from Paris to Krakow, from Krakow to Helsinki, from Krakow to Brussels, from Paris to Brussels, from Athens to Barcelona.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.\n**Day 19:** Fly from Bucharest to Brussels.\n**Day 19-20:** Visit Brussels for 2 days.",
    "id": "trip_planning_example_1523",
    "estimated_output_tokens": 3854,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Bucharest, Duration: 3 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Naples, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 7 - 9.\n* City: Barcelona, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 1 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 5.\n* City: Athens, Fixed Schedule: Day 5 - 6.\n* City: Krakow, Fixed Schedule: Day 7 - 9.\n* City: Brussels, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Helsinki, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vilnius.\n |- Try arranging to visit Vilnius from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Paris (Day 4 - 5).\n |- The departure day of Vilnius is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n   |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Vilnius to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Athens (Day 5 - 6).\n   |- The departure day of Paris is Day 5. The arrival day of Athens is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Vilnius, Paris].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Athens.\n     |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Paris to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 7 - 9).\n     |- The departure day of Athens is Day 6. The arrival day of Krakow is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Vilnius, Paris, Athens].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples, Helsinki, Geneva, Barcelona] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Athens to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n       |- The departure day of Bucharest is Day 8. The arrival day of Krakow is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Naples from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Athens to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n       |- The departure day of Naples is Day 10. The arrival day of Krakow is Day 7. Day 10 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Athens to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Athens to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n       |- The departure day of Geneva is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Vilnius, Paris, Athens, Geneva].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Geneva to Krakow.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Athens to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 9).\n       |- The departure day of Barcelona is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Vilnius, Paris, Athens, Barcelona].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n         |- Try arranging to visit Krakow from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Barcelona to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Brussels (Day 19 - 20).\n         |- The departure day of Krakow is Day 9. The arrival day of Brussels is Day 19. Day 9 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples, Helsinki, Geneva] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Krakow to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Krakow to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Krakow to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Brussels (Day 19 - 20).\n           |- The departure day of Helsinki is Day 12. The arrival day of Brussels is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples, Geneva] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Helsinki to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n             |- Check for direct flight from Helsinki to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 19 - 20).\n             |- The departure day of Naples is Day 16. The arrival day of Brussels is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Naples].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Naples to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Brussels (Day 19 - 20).\n               |- The departure day of Bucharest is Day 18. The arrival day of Brussels is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Naples, Bucharest].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Bucharest to Geneva.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Geneva from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Naples to Geneva.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Geneva from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Helsinki to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 19 - 20).\n             |- The departure day of Geneva is Day 13. The arrival day of Brussels is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Geneva].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Naples] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n               |- Check for direct flight from Geneva to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Geneva to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Brussels (Day 19 - 20).\n               |- The departure day of Naples is Day 17. The arrival day of Brussels is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Geneva, Naples].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Bucharest] and explore these options in order.\n                 |- Try arranging to visit Bucharest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Naples to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Brussels (Day 19 - 20).\n                 |- The departure day of Bucharest is Day 19. The arrival day of Brussels is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Geneva, Naples, Bucharest].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- Yes. The city with an arrival day of Day 19 - is fixed: Brussels.\n                   |- Try arranging to visit Brussels from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                   |- Check for direct flight from Bucharest to Brussels.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Vilnius, Paris, Athens, Barcelona, Krakow, Helsinki, Geneva, Naples, Bucharest, Brussels].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Vilnius and visit Vilnius for 4 days.\n**Day 4:** Fly from Vilnius to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Athens.\n**Day 5-6:** Visit Athens for 2 days.\n**Day 6:** Fly from Athens to Barcelona.\n**Day 6-7:** Visit Barcelona for 2 days.\n**Day 7:** Fly from Barcelona to Krakow.\n**Day 7-9:** Visit Krakow for 3 days.\n**Day 9:** Fly from Krakow to Helsinki.\n**Day 9-12:** Visit Helsinki for 4 days.\n**Day 12:** Fly from Helsinki to Geneva.\n**Day 12-13:** Visit Geneva for 2 days.\n**Day 13:** Fly from Geneva to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Bucharest.\n**Day 17-19:** Visit Bucharest for 3 days.\n**Day 19:** Fly from Bucharest to Brussels.\n**Day 19-20:** Visit Brussels for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**London**Santorini**Milan**Prague**Florence**Munich**Hamburg**Warsaw**Berlin",
    "ground_truth_durations": "5**5**5**4**2**3**4**5**3**2",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 28,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Warsaw"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Milan",
        "Berlin"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Milan",
        "Munich"
      ],
      [
        "London",
        "Berlin"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Nice",
        "Berlin"
      ],
      [
        "Warsaw",
        "Berlin"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Nice",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "London",
        "Munich"
      ],
      [
        "Nice",
        "Hamburg"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Nice",
        "Munich"
      ],
      [
        "London",
        "Milan"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You would like to visit Hamburg for 5 days. You want to spend 2 days in Berlin. You plan to visit relatives in Berlin between day 28 and day 29. You want to spend 2 days in Prague. You are going to attend a wedding in Prague between day 16 and day 17. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5. You plan to stay in Florence for 3 days. You plan to stay in London for 5 days. You want to spend 4 days in Milan. You would like to meet your friends at Milan between day 13 and day 16 to tour together. You would like to visit Munich for 4 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nMunich and Warsaw, London and Prague, Milan and Berlin, London and Santorini, Munich and Hamburg, London and Hamburg, Milan and Munich, London and Berlin, London and Florence, Prague and Florence, Nice and Berlin, Warsaw and Berlin, Santorini and Milan, Prague and Munich, from Florence to Munich, Milan and Hamburg, Munich and Berlin, Prague and Warsaw, Milan and Warsaw, London and Warsaw, Nice and Warsaw, Hamburg and Warsaw, Milan and Prague, London and Munich, Nice and Hamburg, Nice and London, Nice and Munich, London and Milan.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Warsaw. You would like to visit Hamburg for 5 days. You want to spend 2 days in Berlin. You plan to visit relatives in Berlin between day 28 and day 29. You want to spend 2 days in Prague. You are going to attend a wedding in Prague between day 16 and day 17. You plan to stay in Nice for 5 days. You have to attend a workshop in Nice between day 1 and day 5. You plan to stay in Florence for 3 days. You plan to stay in London for 5 days. You want to spend 4 days in Milan. You would like to meet your friends at Milan between day 13 and day 16 to tour together. You would like to visit Munich for 4 days. You would like to visit Santorini for 5 days.\n\nHere are the cities that have direct flights:\nfrom Munich to Warsaw, from London to Prague, from Milan to Berlin, from London to Santorini, from Munich to Hamburg, from London to Hamburg, from Milan to Munich, from London to Berlin, from London to Florence, from Prague to Florence, from Nice to Berlin, from Warsaw to Berlin, from Santorini to Milan, from Prague to Munich, from Florence to Munich, from Milan to Hamburg, from Munich to Berlin, from Prague to Warsaw, from Milan to Warsaw, from London to Warsaw, from Nice to Warsaw, from Hamburg to Warsaw, from Milan to Prague, from London to Munich, from Nice to Hamburg, from Nice to London, from Nice to Munich, from London to Milan.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Milan.\n**Day 13-16:** Visit Milan for 4 days.\n**Day 16:** Fly from Milan to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Florence.\n**Day 17-19:** Visit Florence for 3 days.\n**Day 19:** Fly from Florence to Munich.\n**Day 19-22:** Visit Munich for 4 days.\n**Day 22:** Fly from Munich to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.\n**Day 26:** Fly from Hamburg to Warsaw.\n**Day 26-28:** Visit Warsaw for 3 days.\n**Day 28:** Fly from Warsaw to Berlin.\n**Day 28-29:** Visit Berlin for 2 days.",
    "id": "trip_planning_example_1524",
    "estimated_output_tokens": 6254,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 28 - 29.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Nice, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Florence, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Milan, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 5.\n* City: Milan, Fixed Schedule: Day 13 - 16.\n* City: Prague, Fixed Schedule: Day 16 - 17.\n* City: Berlin, Fixed Schedule: Day 28 - 29.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n* City: London, Duration: 5 days.\n* City: Munich, Duration: 4 days.\n* City: Santorini, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 13 - 16).\n |- The departure day of Nice is Day 5. The arrival day of Milan is Day 13. Day 5 is not later than (<=) Day 13. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Florence, London, Munich, Santorini] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Nice to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 16).\n   |- The departure day of Warsaw is Day 7. The arrival day of Milan is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Nice, Warsaw].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, London, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Warsaw to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Warsaw to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Warsaw to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Warsaw to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Warsaw to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 16).\n   |- The departure day of Hamburg is Day 9. The arrival day of Milan is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, Hamburg].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Florence, London, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Hamburg to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Warsaw is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, Hamburg, Warsaw].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, London, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Warsaw to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Warsaw to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Warsaw to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Hamburg to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit London from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Hamburg to London.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Hamburg to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Hamburg to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Nice to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Nice to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Milan (Day 13 - 16).\n   |- The departure day of London is Day 9. The arrival day of Milan is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Nice, London].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Florence, Munich, Santorini] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Warsaw is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, London, Warsaw].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Warsaw to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Warsaw to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Warsaw to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Hamburg is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Nice, London, Hamburg].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Hamburg to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from London to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Florence is Day 11. The arrival day of Milan is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Nice, London, Florence].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Munich, Santorini] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Florence to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Florence to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Milan (Day 13 - 16).\n       |- The departure day of Munich is Day 14. The arrival day of Milan is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Florence to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from London to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Munich is Day 12. The arrival day of Milan is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Nice, London, Munich].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Florence, Santorini] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Munich to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 13 - 16).\n       |- The departure day of Warsaw is Day 14. The arrival day of Milan is Day 13. Day 14 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Munich to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Milan (Day 13 - 16).\n       |- The departure day of Hamburg is Day 16. The arrival day of Milan is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Munich to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Munich to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Milan (Day 13 - 16).\n     |- The departure day of Santorini is Day 13. The arrival day of Milan is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Nice, London, Santorini].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- Yes. The city with an arrival day of Day 13 - is fixed: Milan.\n       |- Try arranging to visit Milan from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Santorini to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Prague (Day 16 - 17).\n       |- The departure day of Milan is Day 16. The arrival day of Prague is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Nice, London, Santorini, Milan].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- Yes. The city with an arrival day of Day 16 - is fixed: Prague.\n         |- Try arranging to visit Prague from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Milan to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Berlin (Day 28 - 29).\n         |- The departure day of Prague is Day 17. The arrival day of Berlin is Day 28. Day 17 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Nice, London, Santorini, Milan, Prague].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Florence, Munich] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Prague to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Berlin (Day 28 - 29).\n           |- The departure day of Warsaw is Day 19. The arrival day of Berlin is Day 28. Day 19 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Nice, London, Santorini, Milan, Prague, Warsaw].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence, Munich] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Warsaw to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Florence from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Warsaw to Florence.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Warsaw to Munich.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Prague to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Prague to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Berlin (Day 28 - 29).\n           |- The departure day of Florence is Day 19. The arrival day of Berlin is Day 28. Day 19 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Nice, London, Santorini, Milan, Prague, Florence].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg, Munich] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Florence to Warsaw.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Florence to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Florence to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Berlin (Day 28 - 29).\n             |- The departure day of Munich is Day 22. The arrival day of Berlin is Day 28. Day 22 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Nice, London, Santorini, Milan, Prague, Florence, Munich].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Hamburg] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Munich to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Berlin (Day 28 - 29).\n               |- The departure day of Warsaw is Day 24. The arrival day of Berlin is Day 28. Day 24 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Nice, London, Santorini, Milan, Prague, Florence, Munich, Warsaw].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Warsaw to Hamburg.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Munich to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Berlin (Day 28 - 29).\n               |- The departure day of Hamburg is Day 26. The arrival day of Berlin is Day 28. Day 26 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Nice, London, Santorini, Milan, Prague, Florence, Munich, Hamburg].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                 |- Try arranging to visit Warsaw from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                 |- Check for direct flight from Hamburg to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Berlin (Day 28 - 29).\n                 |- The departure day of Warsaw is Day 28. The arrival day of Berlin is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Nice, London, Santorini, Milan, Prague, Florence, Munich, Hamburg, Warsaw].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Berlin.\n                   |- Try arranging to visit Berlin from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                   |- Check for direct flight from Warsaw to Berlin.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Nice, London, Santorini, Milan, Prague, Florence, Munich, Hamburg, Warsaw, Berlin].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Nice and visit Nice for 5 days.\n**Day 5:** Fly from Nice to London.\n**Day 5-9:** Visit London for 5 days.\n**Day 9:** Fly from London to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Milan.\n**Day 13-16:** Visit Milan for 4 days.\n**Day 16:** Fly from Milan to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Florence.\n**Day 17-19:** Visit Florence for 3 days.\n**Day 19:** Fly from Florence to Munich.\n**Day 19-22:** Visit Munich for 4 days.\n**Day 22:** Fly from Munich to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.\n**Day 26:** Fly from Hamburg to Warsaw.\n**Day 26-28:** Visit Warsaw for 3 days.\n**Day 28:** Fly from Warsaw to Berlin.\n**Day 28-29:** Visit Berlin for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Frankfurt**Madrid**Florence**Munich**Valencia**Warsaw**Riga**Vilnius**Milan**Santorini",
    "ground_truth_durations": "3**2**4**4**5**5**3**3**3**3",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 4,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Madrid",
        "Florence"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Valencia",
        "Milan"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Frankfurt",
        "Madrid"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Valencia",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 3 days. You plan to stay in Florence for 4 days. You plan to visit relatives in Florence between day 4 and day 7. You would like to visit Vilnius for 3 days. You want to meet a friend in Vilnius between day 20 and day 22. You want to spend 5 days in Warsaw. You would like to visit Madrid for 2 days. You plan to stay in Valencia for 5 days. You want to spend 3 days in Riga. You would like to visit Santorini for 3 days. You have to attend a workshop in Santorini between day 24 and day 26. You want to spend 3 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 3. You plan to stay in Munich for 4 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Milan, Frankfurt and Riga, Riga and Milan, Frankfurt and Vilnius, Warsaw and Milan, Madrid and Warsaw, Madrid and Santorini, Munich and Warsaw, Munich and Milan, Warsaw and Vilnius, from Riga to Munich, Madrid and Munich, Madrid and Florence, from Vilnius to Munich, Warsaw and Riga, Munich and Valencia, Madrid and Milan, from Florence to Munich, Milan and Santorini, Frankfurt and Warsaw, Frankfurt and Munich, from Riga to Vilnius, Valencia and Milan, Vilnius and Milan, Frankfurt and Madrid, Madrid and Valencia, Frankfurt and Valencia, Frankfurt and Florence, Valencia and Warsaw.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Milan for 3 days. You plan to stay in Florence for 4 days. You plan to visit relatives in Florence between day 4 and day 7. You would like to visit Vilnius for 3 days. You want to meet a friend in Vilnius between day 20 and day 22. You want to spend 5 days in Warsaw. You would like to visit Madrid for 2 days. You plan to stay in Valencia for 5 days. You want to spend 3 days in Riga. You would like to visit Santorini for 3 days. You have to attend a workshop in Santorini between day 24 and day 26. You want to spend 3 days in Frankfurt. You are going to attend a wedding in Frankfurt between day 1 and day 3. You plan to stay in Munich for 4 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Milan, from Frankfurt to Riga, from Riga to Milan, from Frankfurt to Vilnius, from Warsaw to Milan, from Madrid to Warsaw, from Madrid to Santorini, from Munich to Warsaw, from Munich to Milan, from Warsaw to Vilnius, from Riga to Munich, from Madrid to Munich, from Madrid to Florence, from Vilnius to Munich, from Warsaw to Riga, from Munich to Valencia, from Madrid to Milan, from Florence to Munich, from Milan to Santorini, from Frankfurt to Warsaw, from Frankfurt to Munich, from Riga to Vilnius, from Valencia to Milan, from Vilnius to Milan, from Frankfurt to Madrid, from Madrid to Valencia, from Frankfurt to Valencia, from Frankfurt to Florence, from Valencia to Warsaw.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to Florence.\n**Day 4-7:** Visit Florence for 4 days.\n**Day 7:** Fly from Florence to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Warsaw.\n**Day 14-18:** Visit Warsaw for 5 days.\n**Day 18:** Fly from Warsaw to Riga.\n**Day 18-20:** Visit Riga for 3 days.\n**Day 20:** Fly from Riga to Vilnius.\n**Day 20-22:** Visit Vilnius for 3 days.\n**Day 22:** Fly from Vilnius to Milan.\n**Day 22-24:** Visit Milan for 3 days.\n**Day 24:** Fly from Milan to Santorini.\n**Day 24-26:** Visit Santorini for 3 days.",
    "id": "trip_planning_example_1525",
    "estimated_output_tokens": 5072,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Milan, Duration: 3 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 4 - 7.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Warsaw, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Munich, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Frankfurt, Fixed Schedule: Day 1 - 3.\n* City: Florence, Fixed Schedule: Day 4 - 7.\n* City: Vilnius, Fixed Schedule: Day 20 - 22.\n* City: Santorini, Fixed Schedule: Day 24 - 26.\n\nCities needing arrangement:\n* City: Milan, Duration: 3 days.\n* City: Warsaw, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Valencia, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Munich, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Frankfurt.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 4 - 7).\n |- The departure day of Frankfurt is Day 3. The arrival day of Florence is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Madrid, Valencia, Riga, Munich] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 7).\n   |- The departure day of Milan is Day 5. The arrival day of Florence is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Frankfurt to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 7).\n   |- The departure day of Warsaw is Day 7. The arrival day of Florence is Day 4. Day 7 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Frankfurt to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Florence (Day 4 - 7).\n   |- The departure day of Madrid is Day 4. The arrival day of Florence is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Madrid].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Madrid to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Vilnius (Day 20 - 22).\n     |- The departure day of Florence is Day 7. The arrival day of Vilnius is Day 20. Day 7 is not later than (<=) Day 20. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Frankfurt, Madrid, Florence].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Valencia, Riga, Munich] and explore these options in order.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Florence to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Florence to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Florence to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Florence to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Florence to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 20 - 22).\n       |- The departure day of Munich is Day 10. The arrival day of Vilnius is Day 20. Day 10 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Frankfurt, Madrid, Florence, Munich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Valencia, Riga] and explore these options in order.\n         |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Munich to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 20 - 22).\n         |- The departure day of Milan is Day 12. The arrival day of Vilnius is Day 20. Day 12 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Frankfurt, Madrid, Florence, Munich, Milan].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Valencia, Riga] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Milan to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Milan to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Milan to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Munich to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 20 - 22).\n         |- The departure day of Warsaw is Day 14. The arrival day of Vilnius is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Frankfurt, Madrid, Florence, Munich, Warsaw].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Valencia, Riga] and explore these options in order.\n           |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Warsaw to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 22).\n           |- The departure day of Milan is Day 16. The arrival day of Vilnius is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Frankfurt, Madrid, Florence, Munich, Warsaw, Milan].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia, Riga] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Milan to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Warsaw to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Warsaw to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 22).\n           |- The departure day of Riga is Day 16. The arrival day of Vilnius is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Frankfurt, Madrid, Florence, Munich, Warsaw, Riga].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Valencia] and explore these options in order.\n             |- Try arranging to visit Milan from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Riga to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 20 - 22).\n             |- The departure day of Milan is Day 18. The arrival day of Vilnius is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Frankfurt, Madrid, Florence, Munich, Warsaw, Riga, Milan].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Milan to Valencia.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Riga to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Munich to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 20 - 22).\n         |- The departure day of Valencia is Day 14. The arrival day of Vilnius is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Warsaw, Riga] and explore these options in order.\n           |- Try arranging to visit Milan from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Valencia to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 22).\n           |- The departure day of Milan is Day 16. The arrival day of Vilnius is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Milan].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Riga] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Milan to Warsaw.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Milan to Riga.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 20 - 22).\n           |- The departure day of Warsaw is Day 18. The arrival day of Vilnius is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Milan, Riga] and explore these options in order.\n             |- Try arranging to visit Milan from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vilnius (Day 20 - 22).\n             |- The departure day of Milan is Day 20. The arrival day of Vilnius is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw, Milan].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Milan to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Vilnius (Day 20 - 22).\n             |- The departure day of Riga is Day 20. The arrival day of Vilnius is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw, Riga].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Vilnius.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Riga to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Santorini (Day 24 - 26).\n               |- The departure day of Vilnius is Day 22. The arrival day of Santorini is Day 24. Day 22 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw, Riga, Vilnius].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n                 |- Try arranging to visit Milan from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                 |- Check for direct flight from Vilnius to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Santorini (Day 24 - 26).\n                 |- The departure day of Milan is Day 24. The arrival day of Santorini is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw, Riga, Vilnius, Milan].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- Yes. The city with an arrival day of Day 24 - is fixed: Santorini.\n                   |- Try arranging to visit Santorini from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                   |- Check for direct flight from Milan to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Frankfurt, Madrid, Florence, Munich, Valencia, Warsaw, Riga, Vilnius, Milan, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Frankfurt and visit Frankfurt for 3 days.\n**Day 3:** Fly from Frankfurt to Madrid.\n**Day 3-4:** Visit Madrid for 2 days.\n**Day 4:** Fly from Madrid to Florence.\n**Day 4-7:** Visit Florence for 4 days.\n**Day 7:** Fly from Florence to Munich.\n**Day 7-10:** Visit Munich for 4 days.\n**Day 10:** Fly from Munich to Valencia.\n**Day 10-14:** Visit Valencia for 5 days.\n**Day 14:** Fly from Valencia to Warsaw.\n**Day 14-18:** Visit Warsaw for 5 days.\n**Day 18:** Fly from Warsaw to Riga.\n**Day 18-20:** Visit Riga for 3 days.\n**Day 20:** Fly from Riga to Vilnius.\n**Day 20-22:** Visit Vilnius for 3 days.\n**Day 22:** Fly from Vilnius to Milan.\n**Day 22-24:** Visit Milan for 3 days.\n**Day 24:** Fly from Milan to Santorini.\n**Day 24-26:** Visit Santorini for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Bucharest**Rome**Prague**Tallinn**Vilnius**Oslo**Hamburg**Geneva**Mykonos**Athens",
    "ground_truth_durations": "4**3**3**5**3**5**5**4**4**4",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 28,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Athens"
      ],
      [
        "Hamburg",
        "Athens"
      ],
      [
        "Bucharest",
        "Rome"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Bucharest",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Rome",
        "Mykonos"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Bucharest",
        "Oslo"
      ],
      [
        "Geneva",
        "Athens"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Rome",
        "Oslo"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You would like to visit Tallinn for 5 days. From day 8 to day 12, there is a annual show you want to attend in Tallinn. You want to spend 4 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 4. You would like to visit Rome for 3 days. You would like to visit Oslo for 5 days. You want to spend 4 days in Athens. During day 28 and day 31, you have to attend a conference in Athens. You would like to visit Hamburg for 5 days. You would like to visit Vilnius for 3 days. You plan to stay in Geneva for 4 days. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nOslo and Athens, Hamburg and Athens, Bucharest and Rome, Mykonos and Athens, from Hamburg to Geneva, Bucharest and Prague, Prague and Athens, Rome and Athens, Bucharest and Hamburg, Vilnius and Oslo, Bucharest and Athens, Prague and Geneva, Rome and Prague, Rome and Hamburg, Rome and Mykonos, Vilnius and Athens, from Tallinn to Vilnius, Tallinn and Oslo, Prague and Tallinn, Oslo and Hamburg, Oslo and Geneva, Bucharest and Oslo, Geneva and Athens, Rome and Geneva, Prague and Oslo, Geneva and Mykonos, Rome and Oslo.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Prague. You would like to visit Tallinn for 5 days. From day 8 to day 12, there is a annual show you want to attend in Tallinn. You want to spend 4 days in Bucharest. You have to attend a workshop in Bucharest between day 1 and day 4. You would like to visit Rome for 3 days. You would like to visit Oslo for 5 days. You want to spend 4 days in Athens. During day 28 and day 31, you have to attend a conference in Athens. You would like to visit Hamburg for 5 days. You would like to visit Vilnius for 3 days. You plan to stay in Geneva for 4 days. You would like to visit Mykonos for 4 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Athens, from Hamburg to Athens, from Bucharest to Rome, from Mykonos to Athens, from Hamburg to Geneva, from Bucharest to Prague, from Prague to Athens, from Rome to Athens, from Bucharest to Hamburg, from Vilnius to Oslo, from Bucharest to Athens, from Prague to Geneva, from Rome to Prague, from Rome to Hamburg, from Rome to Mykonos, from Vilnius to Athens, from Tallinn to Vilnius, from Tallinn to Oslo, from Prague to Tallinn, from Oslo to Hamburg, from Oslo to Geneva, from Bucharest to Oslo, from Geneva to Athens, from Rome to Geneva, from Prague to Oslo, from Geneva to Mykonos, from Rome to Oslo.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Oslo.\n**Day 14-18:** Visit Oslo for 5 days.\n**Day 18:** Fly from Oslo to Hamburg.\n**Day 18-22:** Visit Hamburg for 5 days.\n**Day 22:** Fly from Hamburg to Geneva.\n**Day 22-25:** Visit Geneva for 4 days.\n**Day 25:** Fly from Geneva to Mykonos.\n**Day 25-28:** Visit Mykonos for 4 days.\n**Day 28:** Fly from Mykonos to Athens.\n**Day 28-31:** Visit Athens for 4 days.",
    "id": "trip_planning_example_1526",
    "estimated_output_tokens": 5169,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Rome, Duration: 3 days.\n* City: Oslo, Duration: 5 days.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 28 - 31.\n* City: Hamburg, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Bucharest, Fixed Schedule: Day 1 - 4.\n* City: Tallinn, Fixed Schedule: Day 8 - 12.\n* City: Athens, Fixed Schedule: Day 28 - 31.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Oslo, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Bucharest.\n |- Try arranging to visit Bucharest from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 12).\n |- The departure day of Bucharest is Day 4. The arrival day of Tallinn is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Rome, Oslo, Hamburg, Vilnius, Geneva, Mykonos] and explore these options in order.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 12).\n   |- The departure day of Prague is Day 6. The arrival day of Tallinn is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Prague].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Rome, Oslo, Hamburg, Vilnius, Geneva, Mykonos] and explore these options in order.\n     |- Try arranging to visit Rome from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 12).\n     |- The departure day of Oslo is Day 10. The arrival day of Tallinn is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Prague to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Prague to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 12).\n     |- The departure day of Geneva is Day 9. The arrival day of Tallinn is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Prague to Mykonos.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Bucharest to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 12).\n   |- The departure day of Rome is Day 6. The arrival day of Tallinn is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Bucharest, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Oslo, Hamburg, Vilnius, Geneva, Mykonos] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Rome to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 12).\n     |- The departure day of Prague is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Bucharest, Rome, Prague].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Prague to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Athens (Day 28 - 31).\n       |- The departure day of Tallinn is Day 12. The arrival day of Athens is Day 28. Day 12 is not later than (<=) Day 28. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Bucharest, Rome, Prague, Tallinn].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Oslo, Hamburg, Vilnius, Geneva, Mykonos] and explore these options in order.\n         |- Try arranging to visit Oslo from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Tallinn to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 28 - 31).\n         |- The departure day of Oslo is Day 16. The arrival day of Athens is Day 28. Day 16 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius, Geneva, Mykonos] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Oslo to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 28 - 31).\n           |- The departure day of Hamburg is Day 20. The arrival day of Athens is Day 28. Day 20 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo, Hamburg].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Mykonos] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Hamburg to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Hamburg to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Athens (Day 28 - 31).\n             |- The departure day of Geneva is Day 23. The arrival day of Athens is Day 28. Day 23 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo, Hamburg, Geneva].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Mykonos] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Geneva to Vilnius.\n               |- No. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n               |- Check for direct flight from Geneva to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Athens (Day 28 - 31).\n               |- The departure day of Mykonos is Day 26. The arrival day of Athens is Day 28. Day 26 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 26. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo, Hamburg, Geneva, Mykonos].\n                |- Check whether the city with an arrival day of Day 26 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                 |- Check for direct flight from Mykonos to Vilnius.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Hamburg to Mykonos.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Oslo to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Oslo to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Athens (Day 28 - 31).\n           |- The departure day of Geneva is Day 19. The arrival day of Athens is Day 28. Day 19 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo, Geneva].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius, Mykonos] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Geneva to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Geneva to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Geneva to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Athens (Day 28 - 31).\n             |- The departure day of Mykonos is Day 22. The arrival day of Athens is Day 28. Day 22 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Bucharest, Rome, Prague, Tallinn, Oslo, Geneva, Mykonos].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Hamburg, Vilnius] and explore these options in order.\n               |- Try arranging to visit Hamburg from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n               |- Check for direct flight from Mykonos to Hamburg.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vilnius from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Mykonos to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Oslo to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Tallinn to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Tallinn to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Athens (Day 28 - 31).\n         |- The departure day of Vilnius is Day 14. The arrival day of Athens is Day 28. Day 14 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Oslo, Hamburg, Geneva, Mykonos] and explore these options in order.\n           |- Try arranging to visit Oslo from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Vilnius to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Athens (Day 28 - 31).\n           |- The departure day of Oslo is Day 18. The arrival day of Athens is Day 28. Day 18 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius, Oslo].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Geneva, Mykonos] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Oslo to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Athens (Day 28 - 31).\n             |- The departure day of Hamburg is Day 22. The arrival day of Athens is Day 28. Day 22 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius, Oslo, Hamburg].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos] and explore these options in order.\n               |- Try arranging to visit Geneva from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Hamburg to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Athens (Day 28 - 31).\n               |- The departure day of Geneva is Day 25. The arrival day of Athens is Day 28. Day 25 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius, Oslo, Hamburg, Geneva].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Geneva to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Athens (Day 28 - 31).\n                 |- The departure day of Mykonos is Day 28. The arrival day of Athens is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius, Oslo, Hamburg, Geneva, Mykonos].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Athens.\n                   |- Try arranging to visit Athens from Day 28. Duration: 4 days. Schedule: Day 28 - 31.\n                   |- Check for direct flight from Mykonos to Athens.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Bucharest, Rome, Prague, Tallinn, Vilnius, Oslo, Hamburg, Geneva, Mykonos, Athens].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Bucharest and visit Bucharest for 4 days.\n**Day 4:** Fly from Bucharest to Rome.\n**Day 4-6:** Visit Rome for 3 days.\n**Day 6:** Fly from Rome to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Tallinn.\n**Day 8-12:** Visit Tallinn for 5 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Oslo.\n**Day 14-18:** Visit Oslo for 5 days.\n**Day 18:** Fly from Oslo to Hamburg.\n**Day 18-22:** Visit Hamburg for 5 days.\n**Day 22:** Fly from Hamburg to Geneva.\n**Day 22-25:** Visit Geneva for 4 days.\n**Day 25:** Fly from Geneva to Mykonos.\n**Day 25-28:** Visit Mykonos for 4 days.\n**Day 28:** Fly from Mykonos to Athens.\n**Day 28-31:** Visit Athens for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Venice**Santorini**Madrid**Dubrovnik**Copenhagen**Budapest**Reykjavik**Stockholm**Tallinn",
    "ground_truth_durations": "3**4**5**2**3**3**3**4**4**3",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Dubrovnik",
        "Copenhagen"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Venice",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 3 and day 6 to tour together. You want to spend 3 days in Tallinn. You plan to stay in Berlin for 3 days. You are going to attend a wedding in Berlin between day 1 and day 3. You plan to stay in Madrid for 2 days. You plan to visit relatives in Madrid between day 10 and day 11. You would like to visit Budapest for 3 days. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 20 and day 23. You plan to stay in Santorini for 5 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Copenhagen for 3 days. During day 13 and day 15, you have to attend a conference in Copenhagen. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nCopenhagen and Reykjavik, Venice and Madrid, from Stockholm to Santorini, Venice and Copenhagen, Budapest and Reykjavik, Madrid and Budapest, Berlin and Venice, Santorini and Madrid, Stockholm and Tallinn, Santorini and Copenhagen, Berlin and Budapest, Berlin and Stockholm, Berlin and Madrid, Berlin and Tallinn, Berlin and Reykjavik, Berlin and Copenhagen, Copenhagen and Budapest, Dubrovnik and Copenhagen, Madrid and Dubrovnik, Madrid and Copenhagen, Copenhagen and Tallinn, from Reykjavik to Madrid, Copenhagen and Stockholm, Madrid and Stockholm, Reykjavik and Stockholm, Dubrovnik and Stockholm, Venice and Santorini.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 3 and day 6 to tour together. You want to spend 3 days in Tallinn. You plan to stay in Berlin for 3 days. You are going to attend a wedding in Berlin between day 1 and day 3. You plan to stay in Madrid for 2 days. You plan to visit relatives in Madrid between day 10 and day 11. You would like to visit Budapest for 3 days. You would like to visit Stockholm for 4 days. You want to meet a friend in Stockholm between day 20 and day 23. You plan to stay in Santorini for 5 days. You plan to stay in Reykjavik for 4 days. You plan to stay in Copenhagen for 3 days. During day 13 and day 15, you have to attend a conference in Copenhagen. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Copenhagen to Reykjavik, from Venice to Madrid, from Stockholm to Santorini, from Venice to Copenhagen, from Budapest to Reykjavik, from Madrid to Budapest, from Berlin to Venice, from Santorini to Madrid, from Stockholm to Tallinn, from Santorini to Copenhagen, from Berlin to Budapest, from Berlin to Stockholm, from Berlin to Madrid, from Berlin to Tallinn, from Berlin to Reykjavik, from Berlin to Copenhagen, from Copenhagen to Budapest, from Dubrovnik to Copenhagen, from Madrid to Dubrovnik, from Madrid to Copenhagen, from Copenhagen to Tallinn, from Reykjavik to Madrid, from Copenhagen to Stockholm, from Madrid to Stockholm, from Reykjavik to Stockholm, from Dubrovnik to Stockholm, from Venice to Santorini.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Budapest.\n**Day 15-17:** Visit Budapest for 3 days.\n**Day 17:** Fly from Budapest to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.\n**Day 20:** Fly from Reykjavik to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Tallinn.\n**Day 23-25:** Visit Tallinn for 3 days.",
    "id": "trip_planning_example_1527",
    "estimated_output_tokens": 3420,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Tallinn, Duration: 3 days.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Budapest, Duration: 3 days.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Santorini, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n* City: Venice, Fixed Schedule: Day 3 - 6.\n* City: Madrid, Fixed Schedule: Day 10 - 11.\n* City: Copenhagen, Fixed Schedule: Day 13 - 15.\n* City: Stockholm, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Tallinn, Duration: 3 days.\n* City: Budapest, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 3 - 6).\n |- The departure day of Berlin is Day 3. The arrival day of Venice is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Venice.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 10 - 11).\n   |- The departure day of Venice is Day 6. The arrival day of Madrid is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Venice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Santorini, Reykjavik, Dubrovnik] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Budapest from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Venice to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Venice to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Madrid (Day 10 - 11).\n     |- The departure day of Santorini is Day 10. The arrival day of Madrid is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Berlin, Venice, Santorini].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Madrid.\n       |- Try arranging to visit Madrid from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Santorini to Madrid.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Copenhagen (Day 13 - 15).\n       |- The departure day of Madrid is Day 11. The arrival day of Copenhagen is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Venice, Santorini, Madrid].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Reykjavik, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Budapest from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 13 - 15).\n         |- The departure day of Budapest is Day 13. The arrival day of Copenhagen is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Venice, Santorini, Madrid, Budapest].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Budapest to Copenhagen.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Madrid to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Madrid to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Copenhagen (Day 13 - 15).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Copenhagen is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Copenhagen.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Dubrovnik to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 20 - 23).\n           |- The departure day of Copenhagen is Day 15. The arrival day of Stockholm is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Budapest, Reykjavik] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Copenhagen to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 20 - 23).\n             |- The departure day of Tallinn is Day 17. The arrival day of Stockholm is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen, Tallinn].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Budapest, Reykjavik] and explore these options in order.\n               |- Try arranging to visit Budapest from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Tallinn to Budapest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Reykjavik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Tallinn to Reykjavik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Budapest from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Copenhagen to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 20 - 23).\n             |- The departure day of Budapest is Day 17. The arrival day of Stockholm is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen, Budapest].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Reykjavik] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Budapest to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Reykjavik from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Budapest to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stockholm (Day 20 - 23).\n               |- The departure day of Reykjavik is Day 20. The arrival day of Stockholm is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen, Budapest, Reykjavik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Reykjavik to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen, Budapest, Reykjavik, Stockholm].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                   |- Check for direct flight from Stockholm to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Berlin, Venice, Santorini, Madrid, Dubrovnik, Copenhagen, Budapest, Reykjavik, Stockholm, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Venice.\n**Day 3-6:** Visit Venice for 4 days.\n**Day 6:** Fly from Venice to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Madrid.\n**Day 10-11:** Visit Madrid for 2 days.\n**Day 11:** Fly from Madrid to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Copenhagen.\n**Day 13-15:** Visit Copenhagen for 3 days.\n**Day 15:** Fly from Copenhagen to Budapest.\n**Day 15-17:** Visit Budapest for 3 days.\n**Day 17:** Fly from Budapest to Reykjavik.\n**Day 17-20:** Visit Reykjavik for 4 days.\n**Day 20:** Fly from Reykjavik to Stockholm.\n**Day 20-23:** Visit Stockholm for 4 days.\n**Day 23:** Fly from Stockholm to Tallinn.\n**Day 23-25:** Visit Tallinn for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Valencia**Amsterdam**Tallinn**Berlin**Vilnius**Split**Zurich**Dubrovnik**Geneva**Mykonos",
    "ground_truth_durations": "4**3**3**4**2**4**4**3**4**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Split"
      ],
      [
        "Zurich",
        "Geneva"
      ],
      [
        "Tallinn",
        "Berlin"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Split",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Geneva",
        "Mykonos"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Valencia",
        "Berlin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You plan to visit relatives in Berlin between day 8 and day 11. You plan to stay in Dubrovnik for 3 days. You are going to attend a wedding in Dubrovnik between day 18 and day 20. You would like to visit Vilnius for 2 days. You would like to visit Tallinn for 3 days. You plan to stay in Zurich for 4 days. During day 15 and day 18, you have to attend a conference in Zurich. You plan to stay in Split for 4 days. From day 12 to day 15, there is a annual show you want to attend in Split. You plan to stay in Amsterdam for 3 days. You would like to visit Geneva for 4 days. You want to spend 4 days in Mykonos. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 1 and day 4.\n\nHere are the cities that have direct flights:\nAmsterdam and Dubrovnik, Berlin and Split, Zurich and Geneva, Tallinn and Berlin, Berlin and Vilnius, Amsterdam and Geneva, Amsterdam and Vilnius, Berlin and Geneva, Split and Geneva, Amsterdam and Mykonos, Vilnius and Split, Amsterdam and Tallinn, Zurich and Mykonos, Valencia and Amsterdam, Zurich and Dubrovnik, Dubrovnik and Geneva, Amsterdam and Zurich, Vilnius and Zurich, Geneva and Mykonos, Berlin and Zurich, from Tallinn to Vilnius, Tallinn and Zurich, Amsterdam and Split, Amsterdam and Berlin, Valencia and Zurich, Split and Zurich, Valencia and Geneva, Valencia and Berlin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Berlin for 4 days. You plan to visit relatives in Berlin between day 8 and day 11. You plan to stay in Dubrovnik for 3 days. You are going to attend a wedding in Dubrovnik between day 18 and day 20. You would like to visit Vilnius for 2 days. You would like to visit Tallinn for 3 days. You plan to stay in Zurich for 4 days. During day 15 and day 18, you have to attend a conference in Zurich. You plan to stay in Split for 4 days. From day 12 to day 15, there is a annual show you want to attend in Split. You plan to stay in Amsterdam for 3 days. You would like to visit Geneva for 4 days. You want to spend 4 days in Mykonos. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 1 and day 4.\n\nHere are the cities that have direct flights:\nfrom Amsterdam to Dubrovnik, from Berlin to Split, from Zurich to Geneva, from Tallinn to Berlin, from Berlin to Vilnius, from Amsterdam to Geneva, from Amsterdam to Vilnius, from Berlin to Geneva, from Split to Geneva, from Amsterdam to Mykonos, from Vilnius to Split, from Amsterdam to Tallinn, from Zurich to Mykonos, from Valencia to Amsterdam, from Zurich to Dubrovnik, from Dubrovnik to Geneva, from Amsterdam to Zurich, from Vilnius to Zurich, from Geneva to Mykonos, from Berlin to Zurich, from Tallinn to Vilnius, from Tallinn to Zurich, from Amsterdam to Split, from Amsterdam to Berlin, from Valencia to Zurich, from Split to Zurich, from Valencia to Geneva, from Valencia to Berlin.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Berlin.\n**Day 8-11:** Visit Berlin for 4 days.\n**Day 11:** Fly from Berlin to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Split.\n**Day 12-15:** Visit Split for 4 days.\n**Day 15:** Fly from Split to Zurich.\n**Day 15-18:** Visit Zurich for 4 days.\n**Day 18:** Fly from Zurich to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1528",
    "estimated_output_tokens": 3014,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Zurich, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Amsterdam, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 1 - 4.\n* City: Berlin, Fixed Schedule: Day 8 - 11.\n* City: Split, Fixed Schedule: Day 12 - 15.\n* City: Zurich, Fixed Schedule: Day 15 - 18.\n* City: Dubrovnik, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Valencia.\n |- Try arranging to visit Valencia from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 8 - 11).\n |- The departure day of Valencia is Day 4. The arrival day of Berlin is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Amsterdam, Geneva, Mykonos] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Valencia to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Valencia to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Berlin (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Berlin is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Valencia, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Geneva, Mykonos] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 8 - 11).\n     |- The departure day of Vilnius is Day 7. The arrival day of Berlin is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Valencia, Amsterdam, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Geneva, Mykonos] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vilnius to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Mykonos.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 8 - 11).\n     |- The departure day of Tallinn is Day 8. The arrival day of Berlin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Valencia, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Tallinn to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Split (Day 12 - 15).\n       |- The departure day of Berlin is Day 11. The arrival day of Split is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Valencia, Amsterdam, Tallinn, Berlin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Geneva, Mykonos] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Berlin to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 12 - 15).\n         |- The departure day of Vilnius is Day 12. The arrival day of Split is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Split.\n           |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Vilnius to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Zurich (Day 15 - 18).\n           |- The departure day of Split is Day 15. The arrival day of Zurich is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius, Split].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Zurich.\n             |- Try arranging to visit Zurich from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Split to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 18 - 20).\n             |- The departure day of Zurich is Day 18. The arrival day of Dubrovnik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius, Split, Zurich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Zurich to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius, Split, Zurich, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Dubrovnik to Geneva.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius, Split, Zurich, Dubrovnik, Geneva].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Geneva to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Valencia, Amsterdam, Tallinn, Berlin, Vilnius, Split, Zurich, Dubrovnik, Geneva, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Valencia and visit Valencia for 4 days.\n**Day 4:** Fly from Valencia to Amsterdam.\n**Day 4-6:** Visit Amsterdam for 3 days.\n**Day 6:** Fly from Amsterdam to Tallinn.\n**Day 6-8:** Visit Tallinn for 3 days.\n**Day 8:** Fly from Tallinn to Berlin.\n**Day 8-11:** Visit Berlin for 4 days.\n**Day 11:** Fly from Berlin to Vilnius.\n**Day 11-12:** Visit Vilnius for 2 days.\n**Day 12:** Fly from Vilnius to Split.\n**Day 12-15:** Visit Split for 4 days.\n**Day 15:** Fly from Split to Zurich.\n**Day 15-18:** Visit Zurich for 4 days.\n**Day 18:** Fly from Zurich to Dubrovnik.\n**Day 18-20:** Visit Dubrovnik for 3 days.\n**Day 20:** Fly from Dubrovnik to Geneva.\n**Day 20-23:** Visit Geneva for 4 days.\n**Day 23:** Fly from Geneva to Mykonos.\n**Day 23-26:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Oslo**Lyon**Amsterdam**Mykonos**Milan**Santorini**Bucharest**Riga**Vilnius",
    "ground_truth_durations": "3**3**4**2**3**5**2**2**3**4",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Milan",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Istanbul",
        "Milan"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Mykonos",
        "Milan"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Istanbul",
        "Lyon"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Amsterdam",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Amsterdam. You want to spend 4 days in Vilnius. You would like to visit Bucharest for 2 days. You would like to visit Mykonos for 3 days. You plan to visit relatives in Mykonos between day 9 and day 11. You want to spend 3 days in Istanbul. From day 1 to day 3, there is a annual show you want to attend in Istanbul. You plan to stay in Lyon for 4 days. You plan to stay in Santorini for 2 days. You plan to stay in Riga for 3 days. You plan to stay in Oslo for 3 days. You have to attend a workshop in Oslo between day 3 and day 5. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nIstanbul and Vilnius, Istanbul and Riga, Istanbul and Bucharest, Santorini and Bucharest, Istanbul and Amsterdam, Milan and Riga, Amsterdam and Milan, Amsterdam and Santorini, Amsterdam and Vilnius, Lyon and Amsterdam, Oslo and Milan, Milan and Vilnius, Amsterdam and Riga, Istanbul and Milan, Oslo and Bucharest, Istanbul and Oslo, Mykonos and Milan, from Riga to Vilnius, from Santorini to Oslo, Oslo and Vilnius, Oslo and Riga, Oslo and Lyon, Istanbul and Lyon, Oslo and Amsterdam, Amsterdam and Mykonos, Milan and Santorini, Bucharest and Riga, Lyon and Bucharest, Amsterdam and Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Amsterdam. You want to spend 4 days in Vilnius. You would like to visit Bucharest for 2 days. You would like to visit Mykonos for 3 days. You plan to visit relatives in Mykonos between day 9 and day 11. You want to spend 3 days in Istanbul. From day 1 to day 3, there is a annual show you want to attend in Istanbul. You plan to stay in Lyon for 4 days. You plan to stay in Santorini for 2 days. You plan to stay in Riga for 3 days. You plan to stay in Oslo for 3 days. You have to attend a workshop in Oslo between day 3 and day 5. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Vilnius, from Istanbul to Riga, from Istanbul to Bucharest, from Santorini to Bucharest, from Istanbul to Amsterdam, from Milan to Riga, from Amsterdam to Milan, from Amsterdam to Santorini, from Amsterdam to Vilnius, from Lyon to Amsterdam, from Oslo to Milan, from Milan to Vilnius, from Amsterdam to Riga, from Istanbul to Milan, from Oslo to Bucharest, from Istanbul to Oslo, from Mykonos to Milan, from Riga to Vilnius, from Santorini to Oslo, from Oslo to Vilnius, from Oslo to Riga, from Oslo to Lyon, from Istanbul to Lyon, from Oslo to Amsterdam, from Amsterdam to Mykonos, from Milan to Santorini, from Bucharest to Riga, from Lyon to Bucharest, from Amsterdam to Bucharest.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Milan.\n**Day 11-15:** Visit Milan for 5 days.\n**Day 15:** Fly from Milan to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.\n**Day 16:** Fly from Santorini to Bucharest.\n**Day 16-17:** Visit Bucharest for 2 days.\n**Day 17:** Fly from Bucharest to Riga.\n**Day 17-19:** Visit Riga for 3 days.\n**Day 19:** Fly from Riga to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1529",
    "estimated_output_tokens": 7557,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n* City: Mykonos, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Lyon, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Milan, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 1 - 3.\n* City: Oslo, Fixed Schedule: Day 3 - 5.\n* City: Mykonos, Fixed Schedule: Day 9 - 11.\n\nCities needing arrangement:\n* City: Amsterdam, Duration: 2 days.\n* City: Vilnius, Duration: 4 days.\n* City: Bucharest, Duration: 2 days.\n* City: Lyon, Duration: 4 days.\n* City: Santorini, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Istanbul.\n |- Try arranging to visit Istanbul from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 3 - 5).\n |- The departure day of Istanbul is Day 3. The arrival day of Oslo is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Istanbul to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Mykonos (Day 9 - 11).\n   |- The departure day of Oslo is Day 5. The arrival day of Mykonos is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Istanbul, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Bucharest, Lyon, Santorini, Riga, Milan] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 11).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Oslo, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Lyon, Santorini, Riga, Milan] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Vilnius is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Istanbul, Oslo, Amsterdam, Vilnius].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Vilnius to Mykonos.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Amsterdam to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Bucharest is Day 7. The arrival day of Mykonos is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Istanbul, Oslo, Amsterdam, Bucharest].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Santorini, Riga, Milan] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Bucharest to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Bucharest to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Bucharest to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 9 - 11).\n         |- The departure day of Riga is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Istanbul, Oslo, Amsterdam, Bucharest, Riga].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n           |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Riga to Mykonos.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Bucharest to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Santorini is Day 7. The arrival day of Mykonos is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Istanbul, Oslo, Amsterdam, Santorini].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Lyon, Riga, Milan] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Santorini to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Santorini to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Mykonos (Day 9 - 11).\n         |- The departure day of Bucharest is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Istanbul, Oslo, Amsterdam, Santorini, Bucharest].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Lyon, Riga, Milan] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Bucharest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n           |- Check for direct flight from Bucharest to Lyon.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n           |- Check for direct flight from Bucharest to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 9 - 11).\n           |- The departure day of Riga is Day 10. The arrival day of Mykonos is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Bucharest to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Lyon from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Santorini to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Santorini to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Santorini to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Amsterdam to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Riga is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Istanbul, Oslo, Amsterdam, Riga].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Lyon, Santorini, Milan] and explore these options in order.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 9 - 11).\n         |- The departure day of Vilnius is Day 11. The arrival day of Mykonos is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Riga to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Riga to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Riga to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Amsterdam to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Milan is Day 10. The arrival day of Mykonos is Day 9. Day 10 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Oslo to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 11).\n     |- The departure day of Vilnius is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Oslo, Vilnius].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Bucharest, Lyon, Santorini, Riga, Milan] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vilnius to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vilnius to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Vilnius to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Vilnius to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Vilnius to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Vilnius to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 11).\n     |- The departure day of Bucharest is Day 6. The arrival day of Mykonos is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Istanbul, Oslo, Bucharest].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Lyon, Santorini, Riga, Milan] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Bucharest to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Bucharest to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Bucharest to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 11).\n       |- The departure day of Riga is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Istanbul, Oslo, Bucharest, Riga].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Lyon, Santorini, Milan] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Riga to Amsterdam.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Riga to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 9 - 11).\n         |- The departure day of Vilnius is Day 11. The arrival day of Mykonos is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Riga to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Riga to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Bucharest to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Oslo to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Mykonos (Day 9 - 11).\n     |- The departure day of Lyon is Day 8. The arrival day of Mykonos is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Oslo, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius, Bucharest, Santorini, Riga, Milan] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lyon to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Mykonos (Day 9 - 11).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Istanbul, Oslo, Lyon, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Santorini, Riga, Milan] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Mykonos to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Mykonos to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Mykonos to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Mykonos to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Mykonos to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Santorini, Riga] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Milan to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Santorini, Riga] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Vilnius to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Vilnius to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Riga from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Vilnius to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Milan to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Santorini from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Milan to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan, Santorini].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Bucharest, Riga] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Santorini to Vilnius.\n               |- No. Drop this branch.\n               |- Try arranging to visit Bucharest from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Santorini to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan, Santorini, Bucharest].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vilnius, Riga] and explore these options in order.\n                 |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n                 |- Check for direct flight from Bucharest to Vilnius.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Riga from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Bucharest to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan, Santorini, Bucharest, Riga].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                   |- Check for direct flight from Riga to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Istanbul, Oslo, Lyon, Amsterdam, Mykonos, Milan, Santorini, Bucharest, Riga, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Istanbul and visit Istanbul for 3 days.\n**Day 3:** Fly from Istanbul to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Lyon.\n**Day 5-8:** Visit Lyon for 4 days.\n**Day 8:** Fly from Lyon to Amsterdam.\n**Day 8-9:** Visit Amsterdam for 2 days.\n**Day 9:** Fly from Amsterdam to Mykonos.\n**Day 9-11:** Visit Mykonos for 3 days.\n**Day 11:** Fly from Mykonos to Milan.\n**Day 11-15:** Visit Milan for 5 days.\n**Day 15:** Fly from Milan to Santorini.\n**Day 15-16:** Visit Santorini for 2 days.\n**Day 16:** Fly from Santorini to Bucharest.\n**Day 16-17:** Visit Bucharest for 2 days.\n**Day 17:** Fly from Bucharest to Riga.\n**Day 17-19:** Visit Riga for 3 days.\n**Day 19:** Fly from Riga to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Berlin**Vilnius**Helsinki**Reykjavik**Madrid**Budapest**Munich**Brussels**Oslo",
    "ground_truth_durations": "5**5**3**3**4**5**2**2**2**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 20,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Budapest",
        "Munich"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Madrid"
      ],
      [
        "Vilnius",
        "Brussels"
      ],
      [
        "Budapest",
        "Oslo"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Oslo"
      ],
      [
        "Brussels",
        "Oslo"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Oslo"
      ],
      [
        "Berlin",
        "Brussels"
      ],
      [
        "Berlin",
        "Oslo"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Helsinki",
        "Brussels"
      ],
      [
        "Porto",
        "Oslo"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Madrid",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Budapest",
        "Brussels"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Madrid",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Reykjavik",
        "Brussels"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Porto",
        "Madrid"
      ],
      [
        "Helsinki",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 3 days. You have to attend a workshop in Helsinki between day 11 and day 13. You plan to stay in Berlin for 5 days. You want to spend 4 days in Reykjavik. You would like to visit Brussels for 2 days. You are going to attend a wedding in Brussels between day 22 and day 23. You would like to visit Vilnius for 3 days. You want to spend 5 days in Porto. You want to spend 2 days in Budapest. You plan to visit relatives in Budapest between day 20 and day 21. You want to spend 2 days in Munich. You would like to meet your friends at Munich between day 21 and day 22 to tour together. You plan to stay in Oslo for 4 days. During day 23 and day 26, you have to attend a conference in Oslo. You would like to visit Madrid for 5 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, Berlin and Munich, Madrid and Brussels, Budapest and Munich, Berlin and Helsinki, Helsinki and Madrid, Vilnius and Brussels, Budapest and Oslo, Berlin and Madrid, Reykjavik and Oslo, Brussels and Oslo, Vilnius and Helsinki, Helsinki and Oslo, Berlin and Brussels, Berlin and Oslo, Berlin and Budapest, Helsinki and Budapest, Helsinki and Brussels, Porto and Oslo, Berlin and Vilnius, Munich and Oslo, Porto and Berlin, Madrid and Oslo, Reykjavik and Budapest, Munich and Brussels, Helsinki and Reykjavik, Porto and Munich, Budapest and Brussels, from Vilnius to Munich, Porto and Brussels, Madrid and Munich, Madrid and Budapest, Reykjavik and Munich, Vilnius and Oslo, Reykjavik and Brussels, Berlin and Reykjavik, Porto and Madrid, Helsinki and Munich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Helsinki for 3 days. You have to attend a workshop in Helsinki between day 11 and day 13. You plan to stay in Berlin for 5 days. You want to spend 4 days in Reykjavik. You would like to visit Brussels for 2 days. You are going to attend a wedding in Brussels between day 22 and day 23. You would like to visit Vilnius for 3 days. You want to spend 5 days in Porto. You want to spend 2 days in Budapest. You plan to visit relatives in Budapest between day 20 and day 21. You want to spend 2 days in Munich. You would like to meet your friends at Munich between day 21 and day 22 to tour together. You plan to stay in Oslo for 4 days. During day 23 and day 26, you have to attend a conference in Oslo. You would like to visit Madrid for 5 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Madrid, from Berlin to Munich, from Madrid to Brussels, from Budapest to Munich, from Berlin to Helsinki, from Helsinki to Madrid, from Vilnius to Brussels, from Budapest to Oslo, from Berlin to Madrid, from Reykjavik to Oslo, from Brussels to Oslo, from Vilnius to Helsinki, from Helsinki to Oslo, from Berlin to Brussels, from Berlin to Oslo, from Berlin to Budapest, from Helsinki to Budapest, from Helsinki to Brussels, from Porto to Oslo, from Berlin to Vilnius, from Munich to Oslo, from Porto to Berlin, from Madrid to Oslo, from Reykjavik to Budapest, from Munich to Brussels, from Helsinki to Reykjavik, from Porto to Munich, from Budapest to Brussels, from Vilnius to Munich, from Porto to Brussels, from Madrid to Munich, from Madrid to Budapest, from Reykjavik to Munich, from Vilnius to Oslo, from Reykjavik to Brussels, from Berlin to Reykjavik, from Porto to Madrid, from Helsinki to Munich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Budapest.\n**Day 20-21:** Visit Budapest for 2 days.\n**Day 21:** Fly from Budapest to Munich.\n**Day 21-22:** Visit Munich for 2 days.\n**Day 22:** Fly from Munich to Brussels.\n**Day 22-23:** Visit Brussels for 2 days.\n**Day 23:** Fly from Brussels to Oslo.\n**Day 23-26:** Visit Oslo for 4 days.",
    "id": "trip_planning_example_1530",
    "estimated_output_tokens": 5289,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Berlin, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Brussels, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Vilnius, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Budapest, Duration: 2 days, Fixed Schedule: Day 20 - 21.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Madrid, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Helsinki, Fixed Schedule: Day 11 - 13.\n* City: Budapest, Fixed Schedule: Day 20 - 21.\n* City: Munich, Fixed Schedule: Day 21 - 22.\n* City: Brussels, Fixed Schedule: Day 22 - 23.\n* City: Oslo, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Berlin, Duration: 5 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Vilnius, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Madrid, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Reykjavik, Vilnius, Porto, Madrid] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 11 - 13).\n |- The departure day of Berlin is Day 5. The arrival day of Helsinki is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Berlin to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 11 - 13).\n   |- The departure day of Reykjavik is Day 8. The arrival day of Helsinki is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Berlin, Reykjavik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vilnius, Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Reykjavik to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Reykjavik to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Reykjavik to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Helsinki (Day 11 - 13).\n     |- The departure day of Madrid is Day 12. The arrival day of Helsinki is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Berlin to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 11 - 13).\n   |- The departure day of Vilnius is Day 7. The arrival day of Helsinki is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Berlin, Vilnius].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Madrid] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Vilnius to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vilnius to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vilnius to Madrid.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Porto from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Berlin to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 11 - 13).\n   |- The departure day of Madrid is Day 9. The arrival day of Helsinki is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Berlin, Madrid].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Porto] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Madrid to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Madrid to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Madrid to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 11 - 13).\n |- The departure day of Reykjavik is Day 4. The arrival day of Helsinki is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Vilnius, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Reykjavik to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Reykjavik to Madrid.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Helsinki (Day 11 - 13).\n   |- The departure day of Madrid is Day 8. The arrival day of Helsinki is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Reykjavik, Madrid].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Berlin, Vilnius, Porto] and explore these options in order.\n     |- Try arranging to visit Berlin from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Madrid to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Madrid to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Madrid to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 11 - 13).\n |- The departure day of Vilnius is Day 3. The arrival day of Helsinki is Day 11. Day 3 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Reykjavik, Porto, Madrid] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Madrid from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Madrid.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Helsinki (Day 11 - 13).\n |- The departure day of Porto is Day 5. The arrival day of Helsinki is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Reykjavik, Vilnius, Madrid] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Porto to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Helsinki (Day 11 - 13).\n   |- The departure day of Berlin is Day 9. The arrival day of Helsinki is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Porto, Berlin].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vilnius, Madrid] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 11 - 13).\n     |- The departure day of Reykjavik is Day 12. The arrival day of Helsinki is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Berlin to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 11 - 13).\n     |- The departure day of Vilnius is Day 11. The arrival day of Helsinki is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Berlin, Vilnius].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Helsinki.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Vilnius to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 20 - 21).\n       |- The departure day of Helsinki is Day 13. The arrival day of Budapest is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Porto, Berlin, Vilnius, Helsinki].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Madrid] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Helsinki to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Budapest (Day 20 - 21).\n         |- The departure day of Reykjavik is Day 16. The arrival day of Budapest is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Madrid] and explore these options in order.\n           |- Try arranging to visit Madrid from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Reykjavik to Madrid.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Budapest (Day 20 - 21).\n           |- The departure day of Madrid is Day 20. The arrival day of Budapest is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik, Madrid].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Madrid to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Munich (Day 21 - 22).\n             |- The departure day of Budapest is Day 21. The arrival day of Munich is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik, Madrid, Budapest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Munich.\n               |- Try arranging to visit Munich from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n               |- Check for direct flight from Budapest to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Brussels (Day 22 - 23).\n               |- The departure day of Munich is Day 22. The arrival day of Brussels is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik, Madrid, Budapest, Munich].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Brussels.\n                 |- Try arranging to visit Brussels from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Munich to Brussels.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Oslo (Day 23 - 26).\n                 |- The departure day of Brussels is Day 23. The arrival day of Oslo is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik, Madrid, Budapest, Munich, Brussels].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Oslo.\n                   |- Try arranging to visit Oslo from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Brussels to Oslo.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Porto, Berlin, Vilnius, Helsinki, Reykjavik, Madrid, Budapest, Munich, Brussels, Oslo].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Berlin.\n**Day 5-9:** Visit Berlin for 5 days.\n**Day 9:** Fly from Berlin to Vilnius.\n**Day 9-11:** Visit Vilnius for 3 days.\n**Day 11:** Fly from Vilnius to Helsinki.\n**Day 11-13:** Visit Helsinki for 3 days.\n**Day 13:** Fly from Helsinki to Reykjavik.\n**Day 13-16:** Visit Reykjavik for 4 days.\n**Day 16:** Fly from Reykjavik to Madrid.\n**Day 16-20:** Visit Madrid for 5 days.\n**Day 20:** Fly from Madrid to Budapest.\n**Day 20-21:** Visit Budapest for 2 days.\n**Day 21:** Fly from Budapest to Munich.\n**Day 21-22:** Visit Munich for 2 days.\n**Day 22:** Fly from Munich to Brussels.\n**Day 22-23:** Visit Brussels for 2 days.\n**Day 23:** Fly from Brussels to Oslo.\n**Day 23-26:** Visit Oslo for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Rome**Vienna**Hamburg**Helsinki**Krakow**Valencia**Seville**Amsterdam**Edinburgh",
    "ground_truth_durations": "5**2**5**2**5**3**5**3**5**5",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 27,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Edinburgh"
      ],
      [
        "Krakow",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Helsinki"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Helsinki",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Vienna",
        "Valencia"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Athens",
        "Edinburgh"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Helsinki",
        "Amsterdam"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Athens",
        "Vienna"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Seville",
        "Edinburgh"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Vienna",
        "Helsinki"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Helsinki",
        "Krakow"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Hamburg",
        "Edinburgh"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Rome",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 27 and day 31. You would like to visit Helsinki for 5 days. You would like to visit Amsterdam for 5 days. You would like to visit Hamburg for 2 days. You would like to visit Rome for 2 days. During day 5 and day 6, you have to attend a conference in Rome. You plan to stay in Athens for 5 days. You plan to stay in Krakow for 3 days. You plan to stay in Seville for 3 days. You plan to visit relatives in Seville between day 21 and day 23. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 6 and day 10. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nRome and Edinburgh, Krakow and Edinburgh, Vienna and Amsterdam, Hamburg and Amsterdam, Hamburg and Helsinki, Rome and Valencia, Rome and Seville, Helsinki and Edinburgh, Vienna and Seville, Amsterdam and Edinburgh, Vienna and Valencia, from Valencia to Athens, Rome and Hamburg, Krakow and Valencia, Valencia and Amsterdam, Athens and Edinburgh, Seville and Amsterdam, Helsinki and Amsterdam, Vienna and Krakow, Athens and Vienna, Krakow and Amsterdam, Seville and Edinburgh, Athens and Rome, Vienna and Hamburg, Vienna and Helsinki, Athens and Hamburg, Helsinki and Krakow, Athens and Amsterdam, Hamburg and Edinburgh, Valencia and Seville, Rome and Amsterdam, Rome and Vienna, Rome and Helsinki.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Edinburgh. You are going to attend a wedding in Edinburgh between day 27 and day 31. You would like to visit Helsinki for 5 days. You would like to visit Amsterdam for 5 days. You would like to visit Hamburg for 2 days. You would like to visit Rome for 2 days. During day 5 and day 6, you have to attend a conference in Rome. You plan to stay in Athens for 5 days. You plan to stay in Krakow for 3 days. You plan to stay in Seville for 3 days. You plan to visit relatives in Seville between day 21 and day 23. You plan to stay in Vienna for 5 days. You have to attend a workshop in Vienna between day 6 and day 10. You plan to stay in Valencia for 5 days.\n\nHere are the cities that have direct flights:\nfrom Rome to Edinburgh, from Krakow to Edinburgh, from Vienna to Amsterdam, from Hamburg to Amsterdam, from Hamburg to Helsinki, from Rome to Valencia, from Rome to Seville, from Helsinki to Edinburgh, from Vienna to Seville, from Amsterdam to Edinburgh, from Vienna to Valencia, from Valencia to Athens, from Rome to Hamburg, from Krakow to Valencia, from Valencia to Amsterdam, from Athens to Edinburgh, from Seville to Amsterdam, from Helsinki to Amsterdam, from Vienna to Krakow, from Athens to Vienna, from Krakow to Amsterdam, from Seville to Edinburgh, from Athens to Rome, from Vienna to Hamburg, from Vienna to Helsinki, from Athens to Hamburg, from Helsinki to Krakow, from Athens to Amsterdam, from Hamburg to Edinburgh, from Valencia to Seville, from Rome to Amsterdam, from Rome to Vienna, from Rome to Helsinki.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Krakow.\n**Day 15-17:** Visit Krakow for 3 days.\n**Day 17:** Fly from Krakow to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.\n**Day 23:** Fly from Seville to Amsterdam.\n**Day 23-27:** Visit Amsterdam for 5 days.\n**Day 27:** Fly from Amsterdam to Edinburgh.\n**Day 27-31:** Visit Edinburgh for 5 days.",
    "id": "trip_planning_example_1531",
    "estimated_output_tokens": 6223,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 27 - 31.\n* City: Helsinki, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Athens, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Valencia, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Fixed Schedule: Day 6 - 10.\n* City: Seville, Fixed Schedule: Day 21 - 23.\n* City: Edinburgh, Fixed Schedule: Day 27 - 31.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 5 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Hamburg, Duration: 2 days.\n* City: Athens, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Hamburg, Athens, Krakow, Valencia] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Helsinki is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Helsinki to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Amsterdam is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Amsterdam to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Hamburg is Day 2. The arrival day of Rome is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Athens, Krakow, Valencia] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 6).\n   |- The departure day of Helsinki is Day 6. The arrival day of Rome is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Rome (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Rome is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Hamburg to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Hamburg to Valencia.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 6).\n |- The departure day of Athens is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Athens to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 6 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Vienna is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Athens, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Vienna.\n     |- Try arranging to visit Vienna from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Seville (Day 21 - 23).\n     |- The departure day of Vienna is Day 10. The arrival day of Seville is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Athens, Rome, Vienna].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Hamburg, Krakow, Valencia] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vienna to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 21 - 23).\n       |- The departure day of Helsinki is Day 14. The arrival day of Seville is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Athens, Rome, Vienna, Helsinki].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Krakow, Valencia] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 23).\n         |- The departure day of Amsterdam is Day 18. The arrival day of Seville is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Athens, Rome, Vienna, Helsinki, Amsterdam].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Krakow, Valencia] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Amsterdam to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Amsterdam to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Amsterdam to Valencia.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Helsinki to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Helsinki to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 21 - 23).\n         |- The departure day of Krakow is Day 16. The arrival day of Seville is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Athens, Rome, Vienna, Helsinki, Krakow].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Valencia] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Krakow to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Seville (Day 21 - 23).\n           |- The departure day of Amsterdam is Day 20. The arrival day of Seville is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Athens, Rome, Vienna, Helsinki, Krakow, Amsterdam].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Valencia] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Amsterdam to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Amsterdam to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Krakow to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Krakow to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Seville (Day 21 - 23).\n           |- The departure day of Valencia is Day 20. The arrival day of Seville is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Athens, Rome, Vienna, Helsinki, Krakow, Valencia].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Valencia to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Seville (Day 21 - 23).\n             |- The departure day of Amsterdam is Day 24. The arrival day of Seville is Day 21. Day 24 is later than (>) Day 21. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Valencia to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Vienna to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 21 - 23).\n       |- The departure day of Amsterdam is Day 14. The arrival day of Seville is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Athens, Rome, Vienna, Amsterdam].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Hamburg, Krakow, Valencia] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Amsterdam to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Amsterdam to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Amsterdam to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Amsterdam to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Vienna to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Seville (Day 21 - 23).\n       |- The departure day of Hamburg is Day 11. The arrival day of Seville is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Athens, Rome, Vienna, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Amsterdam, Krakow, Valencia] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 21 - 23).\n         |- The departure day of Helsinki is Day 15. The arrival day of Seville is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Krakow, Valencia] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Helsinki to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Seville (Day 21 - 23).\n           |- The departure day of Amsterdam is Day 19. The arrival day of Seville is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Amsterdam].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Valencia] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Amsterdam to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Amsterdam to Valencia.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Helsinki to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Seville (Day 21 - 23).\n           |- The departure day of Krakow is Day 17. The arrival day of Seville is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Valencia] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Krakow to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Seville (Day 21 - 23).\n             |- The departure day of Amsterdam is Day 21. The arrival day of Seville is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow, Amsterdam].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Amsterdam to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Krakow to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Seville (Day 21 - 23).\n             |- The departure day of Valencia is Day 21. The arrival day of Seville is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow, Valencia].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Seville.\n               |- Try arranging to visit Seville from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Valencia to Seville.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Edinburgh (Day 27 - 31).\n               |- The departure day of Seville is Day 23. The arrival day of Edinburgh is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow, Valencia, Seville].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n                 |- Try arranging to visit Amsterdam from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Seville to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Edinburgh (Day 27 - 31).\n                 |- The departure day of Amsterdam is Day 27. The arrival day of Edinburgh is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow, Valencia, Seville, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Edinburgh.\n                   |- Try arranging to visit Edinburgh from Day 27. Duration: 5 days. Schedule: Day 27 - 31.\n                   |- Check for direct flight from Amsterdam to Edinburgh.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Athens, Rome, Vienna, Hamburg, Helsinki, Krakow, Valencia, Seville, Amsterdam, Edinburgh].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Athens and visit Athens for 5 days.\n**Day 5:** Fly from Athens to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Vienna.\n**Day 6-10:** Visit Vienna for 5 days.\n**Day 10:** Fly from Vienna to Hamburg.\n**Day 10-11:** Visit Hamburg for 2 days.\n**Day 11:** Fly from Hamburg to Helsinki.\n**Day 11-15:** Visit Helsinki for 5 days.\n**Day 15:** Fly from Helsinki to Krakow.\n**Day 15-17:** Visit Krakow for 3 days.\n**Day 17:** Fly from Krakow to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.\n**Day 23:** Fly from Seville to Amsterdam.\n**Day 23-27:** Visit Amsterdam for 5 days.\n**Day 27:** Fly from Amsterdam to Edinburgh.\n**Day 27-31:** Visit Edinburgh for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Barcelona**Venice**Lisbon**Seville**Valencia**Paris**Vilnius**Helsinki**Hamburg**Manchester",
    "ground_truth_durations": "4**4**3**2**4**4**3**3**3**3",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 22,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 10,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Manchester"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Hamburg",
        "Manchester"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Paris",
        "Manchester"
      ],
      [
        "Helsinki",
        "Hamburg"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Lisbon",
        "Helsinki"
      ],
      [
        "Barcelona",
        "Paris"
      ],
      [
        "Barcelona",
        "Lisbon"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Seville",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You would like to visit Hamburg for 3 days. During day 20 and day 22, you have to attend a conference in Hamburg. You want to spend 3 days in Manchester. You have to attend a workshop in Manchester between day 22 and day 24. You want to spend 4 days in Paris. You want to spend 3 days in Vilnius. You want to meet a friend in Vilnius between day 16 and day 18. You plan to stay in Barcelona for 4 days. You would like to meet your friends at Barcelona between day 1 and day 4 to tour together. You plan to stay in Lisbon for 3 days. You plan to stay in Venice for 4 days. You want to spend 3 days in Helsinki. You want to spend 4 days in Valencia. From day 10 to day 13, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nParis and Hamburg, Barcelona and Manchester, Venice and Helsinki, Barcelona and Helsinki, Barcelona and Hamburg, Seville and Valencia, Lisbon and Valencia, Hamburg and Manchester, Lisbon and Manchester, Venice and Hamburg, Paris and Manchester, Helsinki and Hamburg, Vilnius and Helsinki, Barcelona and Seville, Venice and Lisbon, Lisbon and Hamburg, Barcelona and Valencia, Valencia and Paris, Lisbon and Seville, Seville and Manchester, Venice and Paris, Paris and Helsinki, Helsinki and Manchester, Lisbon and Helsinki, Barcelona and Paris, Barcelona and Lisbon, Paris and Vilnius, Barcelona and Venice, Lisbon and Paris, Venice and Manchester, Seville and Paris.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 2 days. You would like to visit Hamburg for 3 days. During day 20 and day 22, you have to attend a conference in Hamburg. You want to spend 3 days in Manchester. You have to attend a workshop in Manchester between day 22 and day 24. You want to spend 4 days in Paris. You want to spend 3 days in Vilnius. You want to meet a friend in Vilnius between day 16 and day 18. You plan to stay in Barcelona for 4 days. You would like to meet your friends at Barcelona between day 1 and day 4 to tour together. You plan to stay in Lisbon for 3 days. You plan to stay in Venice for 4 days. You want to spend 3 days in Helsinki. You want to spend 4 days in Valencia. From day 10 to day 13, there is a annual show you want to attend in Valencia.\n\nHere are the cities that have direct flights:\nfrom Paris to Hamburg, from Barcelona to Manchester, from Venice to Helsinki, from Barcelona to Helsinki, from Barcelona to Hamburg, from Seville to Valencia, from Lisbon to Valencia, from Hamburg to Manchester, from Lisbon to Manchester, from Venice to Hamburg, from Paris to Manchester, from Helsinki to Hamburg, from Vilnius to Helsinki, from Barcelona to Seville, from Venice to Lisbon, from Lisbon to Hamburg, from Barcelona to Valencia, from Valencia to Paris, from Lisbon to Seville, from Seville to Manchester, from Venice to Paris, from Paris to Helsinki, from Helsinki to Manchester, from Lisbon to Helsinki, from Barcelona to Paris, from Barcelona to Lisbon, from Paris to Vilnius, from Barcelona to Venice, from Lisbon to Paris, from Venice to Manchester, from Seville to Paris.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Lisbon.\n**Day 7-9:** Visit Lisbon for 3 days.\n**Day 9:** Fly from Lisbon to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Helsinki.\n**Day 18-20:** Visit Helsinki for 3 days.\n**Day 20:** Fly from Helsinki to Hamburg.\n**Day 20-22:** Visit Hamburg for 3 days.\n**Day 22:** Fly from Hamburg to Manchester.\n**Day 22-24:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_1532",
    "estimated_output_tokens": 6072,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 2 days.\n* City: Hamburg, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 22 - 24.\n* City: Paris, Duration: 4 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Lisbon, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Barcelona, Fixed Schedule: Day 1 - 4.\n* City: Valencia, Fixed Schedule: Day 10 - 13.\n* City: Vilnius, Fixed Schedule: Day 16 - 18.\n* City: Hamburg, Fixed Schedule: Day 20 - 22.\n* City: Manchester, Fixed Schedule: Day 22 - 24.\n\nCities needing arrangement:\n* City: Seville, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Lisbon, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Barcelona.\n |- Try arranging to visit Barcelona from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Barcelona.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 10 - 13).\n |- The departure day of Barcelona is Day 4. The arrival day of Valencia is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Barcelona].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Lisbon, Venice, Helsinki] and explore these options in order.\n   |- Try arranging to visit Seville from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Barcelona to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 13).\n   |- The departure day of Seville is Day 5. The arrival day of Valencia is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Barcelona, Seville].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Lisbon, Venice, Helsinki] and explore these options in order.\n     |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Seville to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 10 - 13).\n     |- The departure day of Paris is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Seville, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lisbon, Venice, Helsinki] and explore these options in order.\n       |- Try arranging to visit Lisbon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Paris to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 13).\n       |- The departure day of Helsinki is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Seville, Paris, Helsinki].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Helsinki to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Seville to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Seville to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Seville to Helsinki.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 13).\n   |- The departure day of Paris is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Lisbon, Venice, Helsinki] and explore these options in order.\n     |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Paris to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Paris to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 13).\n     |- The departure day of Helsinki is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Barcelona, Paris, Helsinki].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Lisbon, Venice] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Helsinki to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Helsinki to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Helsinki to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Barcelona to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 13).\n   |- The departure day of Lisbon is Day 6. The arrival day of Valencia is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Barcelona, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Venice, Helsinki] and explore these options in order.\n     |- Try arranging to visit Seville from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Lisbon to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 13).\n     |- The departure day of Seville is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Barcelona, Lisbon, Seville].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Venice, Helsinki] and explore these options in order.\n       |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Seville to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 13).\n       |- The departure day of Paris is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Lisbon, Seville, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Paris to Valencia.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Seville to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Seville to Helsinki.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 13).\n     |- The departure day of Paris is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Barcelona, Lisbon, Paris].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Venice, Helsinki] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Paris to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Paris to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Paris to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 10 - 13).\n       |- The departure day of Helsinki is Day 11. The arrival day of Valencia is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lisbon to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 13).\n     |- The departure day of Helsinki is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Barcelona, Lisbon, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Venice] and explore these options in order.\n       |- Try arranging to visit Seville from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Helsinki to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Helsinki to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Helsinki to Venice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Barcelona to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 10 - 13).\n   |- The departure day of Venice is Day 7. The arrival day of Valencia is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Barcelona, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Lisbon, Helsinki] and explore these options in order.\n     |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Venice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 13).\n     |- The departure day of Paris is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Barcelona, Venice, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Venice to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Valencia (Day 10 - 13).\n     |- The departure day of Lisbon is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Barcelona, Venice, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Paris, Helsinki] and explore these options in order.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Lisbon to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 10 - 13).\n       |- The departure day of Seville is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Barcelona, Venice, Lisbon, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Seville to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Vilnius (Day 16 - 18).\n         |- The departure day of Valencia is Day 13. The arrival day of Vilnius is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Helsinki] and explore these options in order.\n           |- Try arranging to visit Paris from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Valencia to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 16 - 18).\n           |- The departure day of Paris is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia, Paris].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Paris to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Hamburg (Day 20 - 22).\n             |- The departure day of Vilnius is Day 18. The arrival day of Hamburg is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia, Paris, Vilnius].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Helsinki] and explore these options in order.\n               |- Try arranging to visit Helsinki from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Vilnius to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Hamburg (Day 20 - 22).\n               |- The departure day of Helsinki is Day 20. The arrival day of Hamburg is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia, Paris, Vilnius, Helsinki].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Helsinki to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Manchester (Day 22 - 24).\n                 |- The departure day of Hamburg is Day 22. The arrival day of Manchester is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia, Paris, Vilnius, Helsinki, Hamburg].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n                   |- Check for direct flight from Hamburg to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Barcelona, Venice, Lisbon, Seville, Valencia, Paris, Vilnius, Helsinki, Hamburg, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Barcelona and visit Barcelona for 4 days.\n**Day 4:** Fly from Barcelona to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Lisbon.\n**Day 7-9:** Visit Lisbon for 3 days.\n**Day 9:** Fly from Lisbon to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Valencia.\n**Day 10-13:** Visit Valencia for 4 days.\n**Day 13:** Fly from Valencia to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Vilnius.\n**Day 16-18:** Visit Vilnius for 3 days.\n**Day 18:** Fly from Vilnius to Helsinki.\n**Day 18-20:** Visit Helsinki for 3 days.\n**Day 20:** Fly from Helsinki to Hamburg.\n**Day 20-22:** Visit Hamburg for 3 days.\n**Day 22:** Fly from Hamburg to Manchester.\n**Day 22-24:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Venice**Munich**Reykjavik**Milan**Hamburg**Geneva**Nice**Frankfurt**Tallinn",
    "ground_truth_durations": "4**5**2**2**5**4**2**4**3**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Hamburg",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Milan"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Copenhagen",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Nice"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Copenhagen",
        "Tallinn"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Venice"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Milan",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 17 and day 18. You would like to visit Tallinn for 4 days. During day 23 and day 26, you have to attend a conference in Tallinn. You want to spend 4 days in Hamburg. You plan to stay in Munich for 2 days. From day 8 to day 9, there is a annual show you want to attend in Munich. You plan to stay in Nice for 4 days. You want to spend 2 days in Reykjavik. You would like to visit Venice for 5 days. You plan to stay in Frankfurt for 3 days. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nVenice and Frankfurt, Geneva and Nice, Munich and Nice, Reykjavik and Frankfurt, Munich and Tallinn, Reykjavik and Milan, Munich and Geneva, Hamburg and Frankfurt, Nice and Frankfurt, Munich and Hamburg, Copenhagen and Geneva, Venice and Nice, Milan and Frankfurt, Copenhagen and Milan, Hamburg and Nice, Copenhagen and Reykjavik, Copenhagen and Nice, Copenhagen and Frankfurt, Munich and Milan, Venice and Hamburg, Munich and Reykjavik, Copenhagen and Tallinn, Munich and Frankfurt, Copenhagen and Hamburg, Copenhagen and Venice, Geneva and Frankfurt, Reykjavik and Nice, from Hamburg to Geneva, Frankfurt and Tallinn, Venice and Munich, Copenhagen and Munich, Milan and Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Copenhagen for 4 days. You plan to visit relatives in Copenhagen between day 1 and day 4. You want to spend 2 days in Geneva. You want to meet a friend in Geneva between day 17 and day 18. You would like to visit Tallinn for 4 days. During day 23 and day 26, you have to attend a conference in Tallinn. You want to spend 4 days in Hamburg. You plan to stay in Munich for 2 days. From day 8 to day 9, there is a annual show you want to attend in Munich. You plan to stay in Nice for 4 days. You want to spend 2 days in Reykjavik. You would like to visit Venice for 5 days. You plan to stay in Frankfurt for 3 days. You plan to stay in Milan for 5 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Frankfurt, from Geneva to Nice, from Munich to Nice, from Reykjavik to Frankfurt, from Munich to Tallinn, from Reykjavik to Milan, from Munich to Geneva, from Hamburg to Frankfurt, from Nice to Frankfurt, from Munich to Hamburg, from Copenhagen to Geneva, from Venice to Nice, from Milan to Frankfurt, from Copenhagen to Milan, from Hamburg to Nice, from Copenhagen to Reykjavik, from Copenhagen to Nice, from Copenhagen to Frankfurt, from Munich to Milan, from Venice to Hamburg, from Munich to Reykjavik, from Copenhagen to Tallinn, from Munich to Frankfurt, from Copenhagen to Hamburg, from Copenhagen to Venice, from Geneva to Frankfurt, from Reykjavik to Nice, from Hamburg to Geneva, from Frankfurt to Tallinn, from Venice to Munich, from Copenhagen to Munich, from Milan to Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Munich.\n**Day 8-9:** Visit Munich for 2 days.\n**Day 9:** Fly from Munich to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Frankfurt.\n**Day 21-23:** Visit Frankfurt for 3 days.\n**Day 23:** Fly from Frankfurt to Tallinn.\n**Day 23-26:** Visit Tallinn for 4 days.",
    "id": "trip_planning_example_1533",
    "estimated_output_tokens": 7789,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Hamburg, Duration: 4 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Nice, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 4.\n* City: Munich, Fixed Schedule: Day 8 - 9.\n* City: Geneva, Fixed Schedule: Day 17 - 18.\n* City: Tallinn, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Hamburg, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n* City: Venice, Duration: 5 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 8 - 9).\n |- The departure day of Copenhagen is Day 4. The arrival day of Munich is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Reykjavik, Venice, Frankfurt, Milan] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Copenhagen to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 8 - 9).\n   |- The departure day of Hamburg is Day 7. The arrival day of Munich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Hamburg].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik, Venice, Frankfurt, Milan] and explore these options in order.\n     |- Try arranging to visit Nice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Hamburg to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 8 - 9).\n     |- The departure day of Nice is Day 10. The arrival day of Munich is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Hamburg to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Hamburg to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Hamburg to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 8 - 9).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Munich is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Hamburg to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Nice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Copenhagen to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 8 - 9).\n   |- The departure day of Nice is Day 7. The arrival day of Munich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Copenhagen, Nice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Venice, Frankfurt, Milan] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Nice to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Nice to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Nice to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Munich (Day 8 - 9).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Munich is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Nice to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Copenhagen to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 8 - 9).\n   |- The departure day of Reykjavik is Day 5. The arrival day of Munich is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Copenhagen, Reykjavik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Venice, Frankfurt, Milan] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Reykjavik to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Nice from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Reykjavik to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 8 - 9).\n     |- The departure day of Nice is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Copenhagen, Reykjavik, Nice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n       |- Try arranging to visit Munich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Nice to Munich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Reykjavik to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Reykjavik to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 8 - 9).\n     |- The departure day of Frankfurt is Day 7. The arrival day of Munich is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Copenhagen, Reykjavik, Frankfurt].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Venice, Milan] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Frankfurt to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Frankfurt to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Frankfurt to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Reykjavik to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Munich (Day 8 - 9).\n     |- The departure day of Milan is Day 9. The arrival day of Munich is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Copenhagen to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Munich (Day 8 - 9).\n   |- The departure day of Venice is Day 8. The arrival day of Munich is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Venice].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Munich.\n     |- Try arranging to visit Munich from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Venice to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 17 - 18).\n     |- The departure day of Munich is Day 9. The arrival day of Geneva is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Copenhagen, Venice, Munich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Reykjavik, Frankfurt, Milan] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 18).\n       |- The departure day of Hamburg is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Venice, Munich, Hamburg].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik, Frankfurt, Milan] and explore these options in order.\n         |- Try arranging to visit Nice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Hamburg to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 17 - 18).\n         |- The departure day of Nice is Day 15. The arrival day of Geneva is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Copenhagen, Venice, Munich, Hamburg, Nice].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Frankfurt, Milan] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Nice to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 17 - 18).\n           |- The departure day of Frankfurt is Day 17. The arrival day of Geneva is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Venice, Munich, Hamburg, Nice, Frankfurt].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Frankfurt to Geneva.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Milan from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Nice to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Hamburg to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Hamburg to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 17 - 18).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Geneva is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Venice, Munich, Hamburg, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik, Milan] and explore these options in order.\n           |- Try arranging to visit Nice from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Frankfurt to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Frankfurt to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Hamburg to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Munich to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 18).\n       |- The departure day of Nice is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Venice, Munich, Nice].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Frankfurt, Milan] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Nice to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Nice to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Nice to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Geneva (Day 17 - 18).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Geneva is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Venice, Munich, Nice, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Reykjavik, Milan] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Frankfurt to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Reykjavik from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Frankfurt to Reykjavik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Frankfurt to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Nice to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Munich to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 17 - 18).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Geneva is Day 17. Day 10 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Copenhagen, Venice, Munich, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Frankfurt, Milan] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 17 - 18).\n         |- The departure day of Nice is Day 13. The arrival day of Geneva is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Nice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Frankfurt, Milan] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Nice to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Nice to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Geneva (Day 17 - 18).\n           |- The departure day of Frankfurt is Day 15. The arrival day of Geneva is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Nice, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Milan] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Frankfurt to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Milan from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Frankfurt to Milan.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Milan from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Nice to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 17 - 18).\n         |- The departure day of Frankfurt is Day 12. The arrival day of Geneva is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Milan] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Milan from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Frankfurt to Milan.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Milan from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Reykjavik to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Geneva (Day 17 - 18).\n         |- The departure day of Milan is Day 14. The arrival day of Geneva is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Nice, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Milan to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Geneva (Day 17 - 18).\n           |- The departure day of Hamburg is Day 17. The arrival day of Geneva is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Geneva.\n             |- Try arranging to visit Geneva from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Hamburg to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 23 - 26).\n             |- The departure day of Geneva is Day 18. The arrival day of Tallinn is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan, Hamburg, Geneva].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Nice from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Geneva to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Tallinn (Day 23 - 26).\n               |- The departure day of Nice is Day 21. The arrival day of Tallinn is Day 23. Day 21 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan, Hamburg, Geneva, Nice].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n                 |- Try arranging to visit Frankfurt from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Nice to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Tallinn (Day 23 - 26).\n                 |- The departure day of Frankfurt is Day 23. The arrival day of Tallinn is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan, Hamburg, Geneva, Nice, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Frankfurt to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Copenhagen, Venice, Munich, Reykjavik, Milan, Hamburg, Geneva, Nice, Frankfurt, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Copenhagen and visit Copenhagen for 4 days.\n**Day 4:** Fly from Copenhagen to Venice.\n**Day 4-8:** Visit Venice for 5 days.\n**Day 8:** Fly from Venice to Munich.\n**Day 8-9:** Visit Munich for 2 days.\n**Day 9:** Fly from Munich to Reykjavik.\n**Day 9-10:** Visit Reykjavik for 2 days.\n**Day 10:** Fly from Reykjavik to Milan.\n**Day 10-14:** Visit Milan for 5 days.\n**Day 14:** Fly from Milan to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.\n**Day 17:** Fly from Hamburg to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Frankfurt.\n**Day 21-23:** Visit Frankfurt for 3 days.\n**Day 23:** Fly from Frankfurt to Tallinn.\n**Day 23-26:** Visit Tallinn for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Paris**Barcelona**Florence**Amsterdam**Tallinn**Vilnius**Warsaw**Venice**Hamburg**Salzburg",
    "ground_truth_durations": "2**5**5**2**2**3**4**3**4**4",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 11,
        "end_day": 12
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Venice"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Venice"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Florence"
      ],
      [
        "Barcelona",
        "Venice"
      ],
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Warsaw"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Venice",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Salzburg"
      ],
      [
        "Amsterdam",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 4 days. You plan to stay in Venice for 3 days. You plan to stay in Vilnius for 3 days. You would like to visit Salzburg for 4 days. You are going to attend a wedding in Salzburg between day 22 and day 25. You want to spend 2 days in Amsterdam. You want to spend 5 days in Barcelona. You would like to meet your friends at Barcelona between day 2 and day 6 to tour together. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 1 and day 2. You want to spend 4 days in Hamburg. During day 19 and day 22, you have to attend a conference in Hamburg. You plan to stay in Florence for 5 days. You want to spend 2 days in Tallinn. You want to meet a friend in Tallinn between day 11 and day 12.\n\nHere are the cities that have direct flights:\nParis and Venice, Barcelona and Amsterdam, Amsterdam and Warsaw, Amsterdam and Vilnius, Barcelona and Warsaw, Warsaw and Venice, Amsterdam and Hamburg, Barcelona and Hamburg, Barcelona and Florence, Barcelona and Venice, Paris and Hamburg, Paris and Vilnius, Paris and Amsterdam, Paris and Florence, Florence and Amsterdam, Vilnius and Warsaw, Barcelona and Tallinn, Paris and Warsaw, Tallinn and Warsaw, from Tallinn to Vilnius, Amsterdam and Tallinn, Paris and Tallinn, Paris and Barcelona, Venice and Hamburg, Warsaw and Hamburg, Hamburg and Salzburg, Amsterdam and Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You plan to stay in Warsaw for 4 days. You plan to stay in Venice for 3 days. You plan to stay in Vilnius for 3 days. You would like to visit Salzburg for 4 days. You are going to attend a wedding in Salzburg between day 22 and day 25. You want to spend 2 days in Amsterdam. You want to spend 5 days in Barcelona. You would like to meet your friends at Barcelona between day 2 and day 6 to tour together. You plan to stay in Paris for 2 days. You have to attend a workshop in Paris between day 1 and day 2. You want to spend 4 days in Hamburg. During day 19 and day 22, you have to attend a conference in Hamburg. You plan to stay in Florence for 5 days. You want to spend 2 days in Tallinn. You want to meet a friend in Tallinn between day 11 and day 12.\n\nHere are the cities that have direct flights:\nfrom Paris to Venice, from Barcelona to Amsterdam, from Amsterdam to Warsaw, from Amsterdam to Vilnius, from Barcelona to Warsaw, from Warsaw to Venice, from Amsterdam to Hamburg, from Barcelona to Hamburg, from Barcelona to Florence, from Barcelona to Venice, from Paris to Hamburg, from Paris to Vilnius, from Paris to Amsterdam, from Paris to Florence, from Florence to Amsterdam, from Vilnius to Warsaw, from Barcelona to Tallinn, from Paris to Warsaw, from Tallinn to Warsaw, from Tallinn to Vilnius, from Amsterdam to Tallinn, from Paris to Tallinn, from Paris to Barcelona, from Venice to Hamburg, from Warsaw to Hamburg, from Hamburg to Salzburg, from Amsterdam to Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Barcelona.\n**Day 2-6:** Visit Barcelona for 5 days.\n**Day 6:** Fly from Barcelona to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Warsaw.\n**Day 14-17:** Visit Warsaw for 4 days.\n**Day 17:** Fly from Warsaw to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1534",
    "estimated_output_tokens": 5846,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Warsaw, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Salzburg, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Amsterdam, Duration: 2 days.\n* City: Barcelona, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Florence, Duration: 5 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 11 - 12.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Paris, Fixed Schedule: Day 1 - 2.\n* City: Barcelona, Fixed Schedule: Day 2 - 6.\n* City: Tallinn, Fixed Schedule: Day 11 - 12.\n* City: Hamburg, Fixed Schedule: Day 19 - 22.\n* City: Salzburg, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Warsaw, Duration: 4 days.\n* City: Venice, Duration: 3 days.\n* City: Vilnius, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Paris.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Barcelona (Day 2 - 6).\n |- The departure day of Paris is Day 2. The arrival day of Barcelona is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Barcelona.\n   |- Try arranging to visit Barcelona from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 11 - 12).\n   |- The departure day of Barcelona is Day 6. The arrival day of Tallinn is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Paris, Barcelona].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Vilnius, Amsterdam, Florence] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Barcelona to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 11 - 12).\n     |- The departure day of Warsaw is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Paris, Barcelona, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Amsterdam, Florence] and explore these options in order.\n       |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 12).\n       |- The departure day of Venice is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Paris, Barcelona, Warsaw, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Venice to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Venice from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Barcelona to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 11 - 12).\n     |- The departure day of Venice is Day 8. The arrival day of Tallinn is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Paris, Barcelona, Venice].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Amsterdam, Florence] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Venice to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Venice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Venice to Amsterdam.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Venice to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Barcelona to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Amsterdam from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Barcelona to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 11 - 12).\n     |- The departure day of Amsterdam is Day 7. The arrival day of Tallinn is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Paris, Barcelona, Amsterdam].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Vilnius, Florence] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Amsterdam to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 12).\n       |- The departure day of Warsaw is Day 10. The arrival day of Tallinn is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Paris, Barcelona, Amsterdam, Warsaw].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius, Florence] and explore these options in order.\n         |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Warsaw to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 11 - 12).\n         |- The departure day of Venice is Day 12. The arrival day of Tallinn is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Warsaw to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Warsaw to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Venice from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 12).\n       |- The departure day of Venice is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Barcelona, Amsterdam, Venice].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Vilnius, Florence] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Venice to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Venice to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Venice to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 11 - 12).\n       |- The departure day of Vilnius is Day 9. The arrival day of Tallinn is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Paris, Barcelona, Amsterdam, Vilnius].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Florence] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Vilnius to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 12).\n         |- The departure day of Warsaw is Day 12. The arrival day of Tallinn is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Venice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Vilnius to Venice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Vilnius to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Amsterdam to Florence.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Barcelona to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 11 - 12).\n     |- The departure day of Florence is Day 10. The arrival day of Tallinn is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Paris, Barcelona, Florence].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Vilnius, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Florence to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Venice from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Florence to Venice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Florence to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Florence to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 11 - 12).\n       |- The departure day of Amsterdam is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Paris, Barcelona, Florence, Amsterdam].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Amsterdam to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Hamburg (Day 19 - 22).\n         |- The departure day of Tallinn is Day 12. The arrival day of Hamburg is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice, Vilnius] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Tallinn to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 19 - 22).\n           |- The departure day of Warsaw is Day 15. The arrival day of Hamburg is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Warsaw].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Venice, Vilnius] and explore these options in order.\n             |- Try arranging to visit Venice from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Warsaw to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 19 - 22).\n             |- The departure day of Venice is Day 17. The arrival day of Hamburg is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Warsaw, Venice].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Venice to Vilnius.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Warsaw to Vilnius.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Venice from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Tallinn to Venice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Tallinn to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 19 - 22).\n           |- The departure day of Vilnius is Day 14. The arrival day of Hamburg is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Vilnius].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Venice] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Vilnius to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 19 - 22).\n             |- The departure day of Warsaw is Day 17. The arrival day of Hamburg is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Vilnius, Warsaw].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Venice] and explore these options in order.\n               |- Try arranging to visit Venice from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Warsaw to Venice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Hamburg (Day 19 - 22).\n               |- The departure day of Venice is Day 19. The arrival day of Hamburg is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Vilnius, Warsaw, Venice].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Venice to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Salzburg (Day 22 - 25).\n                 |- The departure day of Hamburg is Day 22. The arrival day of Salzburg is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Vilnius, Warsaw, Venice, Hamburg].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Salzburg.\n                   |- Try arranging to visit Salzburg from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                   |- Check for direct flight from Hamburg to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Paris, Barcelona, Florence, Amsterdam, Tallinn, Vilnius, Warsaw, Venice, Hamburg, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Paris and visit Paris for 2 days.\n**Day 2:** Fly from Paris to Barcelona.\n**Day 2-6:** Visit Barcelona for 5 days.\n**Day 6:** Fly from Barcelona to Florence.\n**Day 6-10:** Visit Florence for 5 days.\n**Day 10:** Fly from Florence to Amsterdam.\n**Day 10-11:** Visit Amsterdam for 2 days.\n**Day 11:** Fly from Amsterdam to Tallinn.\n**Day 11-12:** Visit Tallinn for 2 days.\n**Day 12:** Fly from Tallinn to Vilnius.\n**Day 12-14:** Visit Vilnius for 3 days.\n**Day 14:** Fly from Vilnius to Warsaw.\n**Day 14-17:** Visit Warsaw for 4 days.\n**Day 17:** Fly from Warsaw to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Hamburg.\n**Day 19-22:** Visit Hamburg for 4 days.\n**Day 22:** Fly from Hamburg to Salzburg.\n**Day 22-25:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Paris**Prague**Istanbul**Lisbon**Warsaw**Bucharest**Santorini**Athens**Nice",
    "ground_truth_durations": "5**4**2**4**5**2**4**3**2**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Warsaw",
        "Athens"
      ],
      [
        "Paris",
        "Lisbon"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Seville",
        "Lisbon"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "Bucharest",
        "Athens"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Nice"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Lisbon",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Lisbon"
      ],
      [
        "Paris",
        "Athens"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Prague",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Athens",
        "Nice"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Paris",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You want to spend 5 days in Nice. You want to spend 4 days in Bucharest. You would like to meet your friends at Bucharest between day 17 and day 20 to tour together. You want to spend 2 days in Prague. From day 8 to day 9, there is a annual show you want to attend in Prague. You want to spend 3 days in Santorini. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 9 and day 12. You want to spend 2 days in Athens. You plan to stay in Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 12 and day 16. You plan to stay in Paris for 4 days. You would like to visit Warsaw for 2 days.\n\nHere are the cities that have direct flights:\nParis and Bucharest, Lisbon and Nice, Seville and Paris, Paris and Nice, Santorini and Athens, Warsaw and Athens, Paris and Lisbon, Paris and Warsaw, Istanbul and Bucharest, Lisbon and Athens, Warsaw and Bucharest, Prague and Warsaw, Seville and Lisbon, Prague and Istanbul, Prague and Athens, Bucharest and Athens, Lisbon and Warsaw, Warsaw and Nice, Bucharest and Santorini, Lisbon and Bucharest, Istanbul and Lisbon, Paris and Athens, Istanbul and Warsaw, Prague and Bucharest, Istanbul and Nice, Athens and Nice, Istanbul and Athens, Prague and Lisbon, Paris and Prague, Paris and Istanbul.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You plan to stay in Seville for 5 days. You want to spend 5 days in Nice. You want to spend 4 days in Bucharest. You would like to meet your friends at Bucharest between day 17 and day 20 to tour together. You want to spend 2 days in Prague. From day 8 to day 9, there is a annual show you want to attend in Prague. You want to spend 3 days in Santorini. You would like to visit Istanbul for 4 days. You plan to visit relatives in Istanbul between day 9 and day 12. You want to spend 2 days in Athens. You plan to stay in Lisbon for 5 days. You are going to attend a wedding in Lisbon between day 12 and day 16. You plan to stay in Paris for 4 days. You would like to visit Warsaw for 2 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Bucharest, from Lisbon to Nice, from Seville to Paris, from Paris to Nice, from Santorini to Athens, from Warsaw to Athens, from Paris to Lisbon, from Paris to Warsaw, from Istanbul to Bucharest, from Lisbon to Athens, from Warsaw to Bucharest, from Prague to Warsaw, from Seville to Lisbon, from Prague to Istanbul, from Prague to Athens, from Bucharest to Athens, from Lisbon to Warsaw, from Warsaw to Nice, from Bucharest to Santorini, from Lisbon to Bucharest, from Istanbul to Lisbon, from Paris to Athens, from Istanbul to Warsaw, from Prague to Bucharest, from Istanbul to Nice, from Athens to Nice, from Istanbul to Athens, from Prague to Lisbon, from Paris to Prague, from Paris to Istanbul.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Prague.\n**Day 8-9:** Visit Prague for 2 days.\n**Day 9:** Fly from Prague to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Lisbon.\n**Day 12-16:** Visit Lisbon for 5 days.\n**Day 16:** Fly from Lisbon to Warsaw.\n**Day 16-17:** Visit Warsaw for 2 days.\n**Day 17:** Fly from Warsaw to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.\n**Day 20:** Fly from Bucharest to Santorini.\n**Day 20-22:** Visit Santorini for 3 days.\n**Day 22:** Fly from Santorini to Athens.\n**Day 22-23:** Visit Athens for 2 days.\n**Day 23:** Fly from Athens to Nice.\n**Day 23-27:** Visit Nice for 5 days.",
    "id": "trip_planning_example_1535",
    "estimated_output_tokens": 3117,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Seville, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Prague, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Santorini, Duration: 3 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Athens, Duration: 2 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Paris, Duration: 4 days.\n* City: Warsaw, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 8 - 9.\n* City: Istanbul, Fixed Schedule: Day 9 - 12.\n* City: Lisbon, Fixed Schedule: Day 12 - 16.\n* City: Bucharest, Fixed Schedule: Day 17 - 20.\n\nCities needing arrangement:\n* City: Seville, Duration: 5 days.\n* City: Nice, Duration: 5 days.\n* City: Santorini, Duration: 3 days.\n* City: Athens, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Warsaw, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Seville, Nice, Santorini, Athens, Paris, Warsaw] and explore these options in order.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 8 - 9).\n |- The departure day of Seville is Day 5. The arrival day of Prague is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Santorini, Athens, Paris, Warsaw] and explore these options in order.\n   |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Seville to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Seville to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Seville to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 8 - 9).\n   |- The departure day of Paris is Day 8. The arrival day of Prague is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Seville, Paris].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Paris to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Istanbul (Day 9 - 12).\n     |- The departure day of Prague is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Seville, Paris, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lisbon (Day 12 - 16).\n       |- The departure day of Istanbul is Day 12. The arrival day of Lisbon is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Seville, Paris, Prague, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Lisbon.\n         |- Try arranging to visit Lisbon from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Istanbul to Lisbon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 17 - 20).\n         |- The departure day of Lisbon is Day 16. The arrival day of Bucharest is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Santorini, Athens, Warsaw] and explore these options in order.\n           |- Try arranging to visit Nice from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Lisbon to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 17 - 20).\n           |- The departure day of Nice is Day 20. The arrival day of Bucharest is Day 17. Day 20 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Lisbon to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lisbon to Athens.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 17 - 20).\n           |- The departure day of Athens is Day 17. The arrival day of Bucharest is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Athens].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Athens to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Lisbon to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 17 - 20).\n           |- The departure day of Warsaw is Day 17. The arrival day of Bucharest is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Warsaw].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Warsaw to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Warsaw, Bucharest].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice, Santorini, Athens] and explore these options in order.\n               |- Try arranging to visit Nice from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Bucharest to Nice.\n               |- No. Drop this branch.\n               |- Try arranging to visit Santorini from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Bucharest to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Warsaw, Bucharest, Santorini].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice, Athens] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                 |- Check for direct flight from Santorini to Nice.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Athens from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Santorini to Athens.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Warsaw, Bucharest, Santorini, Athens].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n                   |- Try arranging to visit Nice from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Athens to Nice.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Seville, Paris, Prague, Istanbul, Lisbon, Warsaw, Bucharest, Santorini, Athens, Nice].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Paris.\n**Day 5-8:** Visit Paris for 4 days.\n**Day 8:** Fly from Paris to Prague.\n**Day 8-9:** Visit Prague for 2 days.\n**Day 9:** Fly from Prague to Istanbul.\n**Day 9-12:** Visit Istanbul for 4 days.\n**Day 12:** Fly from Istanbul to Lisbon.\n**Day 12-16:** Visit Lisbon for 5 days.\n**Day 16:** Fly from Lisbon to Warsaw.\n**Day 16-17:** Visit Warsaw for 2 days.\n**Day 17:** Fly from Warsaw to Bucharest.\n**Day 17-20:** Visit Bucharest for 4 days.\n**Day 20:** Fly from Bucharest to Santorini.\n**Day 20-22:** Visit Santorini for 3 days.\n**Day 22:** Fly from Santorini to Athens.\n**Day 22-23:** Visit Athens for 2 days.\n**Day 23:** Fly from Athens to Nice.\n**Day 23-27:** Visit Nice for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Berlin**Stuttgart**Manchester**Helsinki**Geneva**Valencia**Lyon**Paris**Florence",
    "ground_truth_durations": "2**2**3**3**4**3**2**4**3**3",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Geneva"
      ],
      [
        "Salzburg",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Stuttgart",
        "Manchester"
      ],
      [
        "Geneva",
        "Valencia"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Helsinki",
        "Paris"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Berlin",
        "Valencia"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Stuttgart",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You plan to stay in Valencia for 2 days. You would like to visit Paris for 3 days. You want to meet a friend in Paris between day 16 and day 18. You want to spend 2 days in Salzburg. You want to spend 4 days in Helsinki. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 5 and day 7. You want to spend 4 days in Lyon. During day 13 and day 16, you have to attend a conference in Lyon. You would like to visit Florence for 3 days. You plan to visit relatives in Florence between day 18 and day 20. You want to spend 2 days in Berlin. You would like to visit Geneva for 3 days.\n\nHere are the cities that have direct flights:\nManchester and Geneva, Salzburg and Berlin, Stuttgart and Paris, Manchester and Helsinki, Berlin and Paris, Berlin and Geneva, Stuttgart and Manchester, Geneva and Valencia, Paris and Florence, Berlin and Stuttgart, Berlin and Helsinki, Lyon and Paris, Helsinki and Paris, Berlin and Manchester, Berlin and Valencia, Valencia and Paris, Helsinki and Geneva, Manchester and Paris, Geneva and Paris, Valencia and Lyon, Stuttgart and Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Stuttgart for 3 days. You plan to stay in Valencia for 2 days. You would like to visit Paris for 3 days. You want to meet a friend in Paris between day 16 and day 18. You want to spend 2 days in Salzburg. You want to spend 4 days in Helsinki. You would like to visit Manchester for 3 days. You are going to attend a wedding in Manchester between day 5 and day 7. You want to spend 4 days in Lyon. During day 13 and day 16, you have to attend a conference in Lyon. You would like to visit Florence for 3 days. You plan to visit relatives in Florence between day 18 and day 20. You want to spend 2 days in Berlin. You would like to visit Geneva for 3 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Geneva, from Salzburg to Berlin, from Stuttgart to Paris, from Manchester to Helsinki, from Berlin to Paris, from Berlin to Geneva, from Stuttgart to Manchester, from Geneva to Valencia, from Paris to Florence, from Berlin to Stuttgart, from Berlin to Helsinki, from Lyon to Paris, from Helsinki to Paris, from Berlin to Manchester, from Berlin to Valencia, from Valencia to Paris, from Helsinki to Geneva, from Manchester to Paris, from Geneva to Paris, from Valencia to Lyon, from Stuttgart to Valencia.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Stuttgart.\n**Day 3-5:** Visit Stuttgart for 3 days.\n**Day 5:** Fly from Stuttgart to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Helsinki.\n**Day 7-10:** Visit Helsinki for 4 days.\n**Day 10:** Fly from Helsinki to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-13:** Visit Valencia for 2 days.\n**Day 13:** Fly from Valencia to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Paris.\n**Day 16-18:** Visit Paris for 3 days.\n**Day 18:** Fly from Paris to Florence.\n**Day 18-20:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1536",
    "estimated_output_tokens": 3985,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Stuttgart, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Paris, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Salzburg, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Lyon, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Berlin, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 5 - 7.\n* City: Lyon, Fixed Schedule: Day 13 - 16.\n* City: Paris, Fixed Schedule: Day 16 - 18.\n* City: Florence, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Stuttgart, Duration: 3 days.\n* City: Valencia, Duration: 2 days.\n* City: Salzburg, Duration: 2 days.\n* City: Helsinki, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n* City: Geneva, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Stuttgart, Valencia, Salzburg, Helsinki, Berlin, Geneva] and explore these options in order.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Stuttgart is Day 3. The arrival day of Manchester is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Valencia, Salzburg, Helsinki, Berlin, Geneva] and explore these options in order.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 5 - 7).\n   |- The departure day of Valencia is Day 4. The arrival day of Manchester is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Stuttgart, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Salzburg, Helsinki, Berlin, Geneva] and explore these options in order.\n     |- Try arranging to visit Salzburg from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Salzburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Helsinki.\n     |- No. Drop this branch.\n     |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Berlin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Valencia to Geneva.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Valencia from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Valencia.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Valencia is Day 2. The arrival day of Manchester is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Valencia].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Salzburg, Helsinki, Berlin, Geneva] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Valencia to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Valencia to Berlin.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Valencia to Geneva.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Salzburg from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 5 - 7).\n |- The departure day of Salzburg is Day 2. The arrival day of Manchester is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia, Helsinki, Berlin, Geneva] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Salzburg to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Salzburg to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Salzburg to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Berlin from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Salzburg to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Manchester (Day 5 - 7).\n   |- The departure day of Berlin is Day 3. The arrival day of Manchester is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Salzburg, Berlin].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia, Helsinki, Geneva] and explore these options in order.\n     |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Berlin to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Manchester (Day 5 - 7).\n     |- The departure day of Stuttgart is Day 5. The arrival day of Manchester is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Salzburg, Berlin, Stuttgart].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Manchester.\n       |- Try arranging to visit Manchester from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stuttgart to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 13 - 16).\n       |- The departure day of Manchester is Day 7. The arrival day of Lyon is Day 13. Day 7 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Salzburg, Berlin, Stuttgart, Manchester].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Helsinki, Geneva] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Manchester to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Manchester to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Lyon (Day 13 - 16).\n         |- The departure day of Helsinki is Day 10. The arrival day of Lyon is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Geneva] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n           |- Check for direct flight from Helsinki to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Helsinki to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 13 - 16).\n           |- The departure day of Geneva is Day 12. The arrival day of Lyon is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki, Geneva].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n             |- Try arranging to visit Valencia from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Geneva to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 13 - 16).\n             |- The departure day of Valencia is Day 13. The arrival day of Lyon is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki, Geneva, Valencia].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Lyon.\n               |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Valencia to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Paris (Day 16 - 18).\n               |- The departure day of Lyon is Day 16. The arrival day of Paris is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki, Geneva, Valencia, Lyon].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Paris.\n                 |- Try arranging to visit Paris from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n                 |- Check for direct flight from Lyon to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Florence (Day 18 - 20).\n                 |- The departure day of Paris is Day 18. The arrival day of Florence is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki, Geneva, Valencia, Lyon, Paris].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- Yes. The city with an arrival day of Day 18 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                   |- Check for direct flight from Paris to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Salzburg, Berlin, Stuttgart, Manchester, Helsinki, Geneva, Valencia, Lyon, Paris, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Salzburg and visit Salzburg for 2 days.\n**Day 2:** Fly from Salzburg to Berlin.\n**Day 2-3:** Visit Berlin for 2 days.\n**Day 3:** Fly from Berlin to Stuttgart.\n**Day 3-5:** Visit Stuttgart for 3 days.\n**Day 5:** Fly from Stuttgart to Manchester.\n**Day 5-7:** Visit Manchester for 3 days.\n**Day 7:** Fly from Manchester to Helsinki.\n**Day 7-10:** Visit Helsinki for 4 days.\n**Day 10:** Fly from Helsinki to Geneva.\n**Day 10-12:** Visit Geneva for 3 days.\n**Day 12:** Fly from Geneva to Valencia.\n**Day 12-13:** Visit Valencia for 2 days.\n**Day 13:** Fly from Valencia to Lyon.\n**Day 13-16:** Visit Lyon for 4 days.\n**Day 16:** Fly from Lyon to Paris.\n**Day 16-18:** Visit Paris for 3 days.\n**Day 18:** Fly from Paris to Florence.\n**Day 18-20:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**Rome**Istanbul**Krakow**Barcelona**Reykjavik**Madrid**Zurich**Valencia**Seville",
    "ground_truth_durations": "5**2**2**2**3**5**3**2**5**3",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Santorini",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Istanbul",
        "Madrid"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Barcelona",
        "Zurich"
      ],
      [
        "Santorini",
        "Barcelona"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Barcelona",
        "Valencia"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Barcelona",
        "Reykjavik"
      ],
      [
        "Rome",
        "Madrid"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "Istanbul",
        "Barcelona"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Barcelona",
        "Madrid"
      ],
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Krakow",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 16 and day 17. You want to spend 2 days in Istanbul. You want to spend 3 days in Seville. You would like to visit Madrid for 3 days. You have to attend a workshop in Madrid between day 14 and day 16. You would like to visit Krakow for 2 days. You plan to visit relatives in Krakow between day 7 and day 8. You plan to stay in Valencia for 5 days. You plan to stay in Reykjavik for 5 days. From day 10 to day 14, there is a annual show you want to attend in Reykjavik. You plan to stay in Rome for 2 days. You would like to visit Santorini for 5 days. During day 1 and day 5, you have to attend a conference in Santorini. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nIstanbul and Krakow, Madrid and Seville, Santorini and Madrid, from Reykjavik to Madrid, Reykjavik and Zurich, Istanbul and Zurich, Istanbul and Madrid, Madrid and Zurich, Madrid and Valencia, Rome and Seville, Krakow and Valencia, Barcelona and Zurich, Santorini and Barcelona, Valencia and Seville, Barcelona and Valencia, Istanbul and Valencia, Barcelona and Reykjavik, Rome and Madrid, Rome and Zurich, Rome and Valencia, Rome and Barcelona, Zurich and Valencia, Rome and Istanbul, Santorini and Rome, Istanbul and Barcelona, Krakow and Zurich, Barcelona and Seville, Santorini and Zurich, Barcelona and Madrid, Rome and Reykjavik, Krakow and Barcelona.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 2 days. You want to meet a friend in Zurich between day 16 and day 17. You want to spend 2 days in Istanbul. You want to spend 3 days in Seville. You would like to visit Madrid for 3 days. You have to attend a workshop in Madrid between day 14 and day 16. You would like to visit Krakow for 2 days. You plan to visit relatives in Krakow between day 7 and day 8. You plan to stay in Valencia for 5 days. You plan to stay in Reykjavik for 5 days. From day 10 to day 14, there is a annual show you want to attend in Reykjavik. You plan to stay in Rome for 2 days. You would like to visit Santorini for 5 days. During day 1 and day 5, you have to attend a conference in Santorini. You plan to stay in Barcelona for 3 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Krakow, from Madrid to Seville, from Santorini to Madrid, from Reykjavik to Madrid, from Reykjavik to Zurich, from Istanbul to Zurich, from Istanbul to Madrid, from Madrid to Zurich, from Madrid to Valencia, from Rome to Seville, from Krakow to Valencia, from Barcelona to Zurich, from Santorini to Barcelona, from Valencia to Seville, from Barcelona to Valencia, from Istanbul to Valencia, from Barcelona to Reykjavik, from Rome to Madrid, from Rome to Zurich, from Rome to Valencia, from Rome to Barcelona, from Zurich to Valencia, from Rome to Istanbul, from Santorini to Rome, from Istanbul to Barcelona, from Krakow to Zurich, from Barcelona to Seville, from Santorini to Zurich, from Barcelona to Madrid, from Rome to Reykjavik, from Krakow to Barcelona.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Barcelona.\n**Day 8-10:** Visit Barcelona for 3 days.\n**Day 10:** Fly from Barcelona to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1537",
    "estimated_output_tokens": 2918,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Istanbul, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Valencia, Duration: 5 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Rome, Duration: 2 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Barcelona, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 1 - 5.\n* City: Krakow, Fixed Schedule: Day 7 - 8.\n* City: Reykjavik, Fixed Schedule: Day 10 - 14.\n* City: Madrid, Fixed Schedule: Day 14 - 16.\n* City: Zurich, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Valencia, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Barcelona, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Santorini.\n |- Try arranging to visit Santorini from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Krakow (Day 7 - 8).\n |- The departure day of Santorini is Day 5. The arrival day of Krakow is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Seville, Valencia, Rome, Barcelona] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Santorini to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Santorini to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Santorini to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Krakow (Day 7 - 8).\n   |- The departure day of Rome is Day 6. The arrival day of Krakow is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Seville, Valencia, Barcelona] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Rome to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Krakow (Day 7 - 8).\n     |- The departure day of Istanbul is Day 7. The arrival day of Krakow is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Santorini, Rome, Istanbul].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Istanbul to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Reykjavik (Day 10 - 14).\n       |- The departure day of Krakow is Day 8. The arrival day of Reykjavik is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Santorini, Rome, Istanbul, Krakow].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Valencia, Barcelona] and explore these options in order.\n         |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Krakow to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Krakow to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 10 - 14).\n         |- The departure day of Valencia is Day 12. The arrival day of Reykjavik is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Krakow to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Reykjavik (Day 10 - 14).\n         |- The departure day of Barcelona is Day 10. The arrival day of Reykjavik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Reykjavik.\n           |- Try arranging to visit Reykjavik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Barcelona to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Madrid (Day 14 - 16).\n           |- The departure day of Reykjavik is Day 14. The arrival day of Madrid is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona, Reykjavik].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Madrid.\n             |- Try arranging to visit Madrid from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Reykjavik to Madrid.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Zurich (Day 16 - 17).\n             |- The departure day of Madrid is Day 16. The arrival day of Zurich is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona, Reykjavik, Madrid].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Zurich.\n               |- Try arranging to visit Zurich from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Madrid to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona, Reykjavik, Madrid, Zurich].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Valencia] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Zurich to Seville.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Valencia from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Zurich to Valencia.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona, Reykjavik, Madrid, Zurich, Valencia].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                   |- Check for direct flight from Valencia to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Santorini, Rome, Istanbul, Krakow, Barcelona, Reykjavik, Madrid, Zurich, Valencia, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Santorini and visit Santorini for 5 days.\n**Day 5:** Fly from Santorini to Rome.\n**Day 5-6:** Visit Rome for 2 days.\n**Day 6:** Fly from Rome to Istanbul.\n**Day 6-7:** Visit Istanbul for 2 days.\n**Day 7:** Fly from Istanbul to Krakow.\n**Day 7-8:** Visit Krakow for 2 days.\n**Day 8:** Fly from Krakow to Barcelona.\n**Day 8-10:** Visit Barcelona for 3 days.\n**Day 10:** Fly from Barcelona to Reykjavik.\n**Day 10-14:** Visit Reykjavik for 5 days.\n**Day 14:** Fly from Reykjavik to Madrid.\n**Day 14-16:** Visit Madrid for 3 days.\n**Day 16:** Fly from Madrid to Zurich.\n**Day 16-17:** Visit Zurich for 2 days.\n**Day 17:** Fly from Zurich to Valencia.\n**Day 17-21:** Visit Valencia for 5 days.\n**Day 21:** Fly from Valencia to Seville.\n**Day 21-23:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Porto**Brussels**Reykjavik**Prague**Valencia**Krakow**Split**Zurich**Santorini",
    "ground_truth_durations": "3**2**3**4**3**4**4**4**5**4",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Valencia",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Brussels",
        "Prague"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Manchester",
        "Porto"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Manchester",
        "Brussels"
      ],
      [
        "Brussels",
        "Krakow"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Brussels",
        "Zurich"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Manchester",
        "Split"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Brussels",
        "Reykjavik"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 3 days in Brussels. During day 4 and day 6, you have to attend a conference in Brussels. You would like to visit Valencia for 4 days. You want to meet a friend in Valencia between day 11 and day 14. You would like to visit Porto for 2 days. From day 3 to day 4, there is a annual show you want to attend in Porto. You would like to visit Split for 4 days. You plan to stay in Manchester for 3 days. You want to spend 4 days in Krakow. You plan to stay in Prague for 3 days. You would like to visit Zurich for 5 days. You would like to visit Santorini for 4 days.\n\nHere are the cities that have direct flights:\nManchester and Santorini, Porto and Zurich, Prague and Zurich, Split and Zurich, Valencia and Krakow, Reykjavik and Prague, Porto and Brussels, Prague and Valencia, Brussels and Prague, Valencia and Zurich, Manchester and Krakow, Manchester and Porto, Reykjavik and Zurich, Manchester and Brussels, Brussels and Krakow, Krakow and Split, Brussels and Zurich, Porto and Valencia, Krakow and Zurich, Manchester and Prague, Prague and Krakow, Manchester and Zurich, from Manchester to Split, Brussels and Valencia, Prague and Split, Zurich and Santorini, Brussels and Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 4 days. You want to spend 3 days in Brussels. During day 4 and day 6, you have to attend a conference in Brussels. You would like to visit Valencia for 4 days. You want to meet a friend in Valencia between day 11 and day 14. You would like to visit Porto for 2 days. From day 3 to day 4, there is a annual show you want to attend in Porto. You would like to visit Split for 4 days. You plan to stay in Manchester for 3 days. You want to spend 4 days in Krakow. You plan to stay in Prague for 3 days. You would like to visit Zurich for 5 days. You would like to visit Santorini for 4 days.\n\nHere are the cities that have direct flights:\nfrom Manchester to Santorini, from Porto to Zurich, from Prague to Zurich, from Split to Zurich, from Valencia to Krakow, from Reykjavik to Prague, from Porto to Brussels, from Prague to Valencia, from Brussels to Prague, from Valencia to Zurich, from Manchester to Krakow, from Manchester to Porto, from Reykjavik to Zurich, from Manchester to Brussels, from Brussels to Krakow, from Krakow to Split, from Brussels to Zurich, from Porto to Valencia, from Krakow to Zurich, from Manchester to Prague, from Prague to Krakow, from Manchester to Zurich, from Manchester to Split, from Brussels to Valencia, from Prague to Split, from Zurich to Santorini, from Brussels to Reykjavik.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Porto.\n**Day 3-4:** Visit Porto for 2 days.\n**Day 4:** Fly from Porto to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Split.\n**Day 17-20:** Visit Split for 4 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-24:** Visit Zurich for 5 days.\n**Day 24:** Fly from Zurich to Santorini.\n**Day 24-27:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1538",
    "estimated_output_tokens": 2821,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 4 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Porto, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Split, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 3 - 4.\n* City: Brussels, Fixed Schedule: Day 4 - 6.\n* City: Valencia, Fixed Schedule: Day 11 - 14.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Manchester, Duration: 3 days.\n* City: Krakow, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Split, Manchester, Krakow, Prague, Zurich, Santorini] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 4).\n |- The departure day of Reykjavik is Day 4. The arrival day of Porto is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Split from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 4).\n |- The departure day of Split is Day 4. The arrival day of Porto is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Manchester from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 3 - 4).\n |- The departure day of Manchester is Day 3. The arrival day of Porto is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Porto.\n   |- Try arranging to visit Porto from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Manchester to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Brussels (Day 4 - 6).\n   |- The departure day of Porto is Day 4. The arrival day of Brussels is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Manchester, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Brussels.\n     |- Try arranging to visit Brussels from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Porto to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Valencia (Day 11 - 14).\n     |- The departure day of Brussels is Day 6. The arrival day of Valencia is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Manchester, Porto, Brussels].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Split, Krakow, Prague, Zurich, Santorini] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Brussels to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 11 - 14).\n       |- The departure day of Reykjavik is Day 9. The arrival day of Valencia is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Manchester, Porto, Brussels, Reykjavik].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Krakow, Prague, Zurich, Santorini] and explore these options in order.\n         |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Reykjavik to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Krakow from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Reykjavik to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Reykjavik to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 11 - 14).\n         |- The departure day of Prague is Day 11. The arrival day of Valencia is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Prague to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague, Valencia].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Krakow, Zurich, Santorini] and explore these options in order.\n             |- Try arranging to visit Split from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Valencia to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Valencia to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague, Valencia, Krakow].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Zurich, Santorini] and explore these options in order.\n               |- Try arranging to visit Split from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Krakow to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague, Valencia, Krakow, Split].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Split to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague, Valencia, Krakow, Split, Zurich].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                   |- Check for direct flight from Zurich to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Manchester, Porto, Brussels, Reykjavik, Prague, Valencia, Krakow, Split, Zurich, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Manchester and visit Manchester for 3 days.\n**Day 3:** Fly from Manchester to Porto.\n**Day 3-4:** Visit Porto for 2 days.\n**Day 4:** Fly from Porto to Brussels.\n**Day 4-6:** Visit Brussels for 3 days.\n**Day 6:** Fly from Brussels to Reykjavik.\n**Day 6-9:** Visit Reykjavik for 4 days.\n**Day 9:** Fly from Reykjavik to Prague.\n**Day 9-11:** Visit Prague for 3 days.\n**Day 11:** Fly from Prague to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Krakow.\n**Day 14-17:** Visit Krakow for 4 days.\n**Day 17:** Fly from Krakow to Split.\n**Day 17-20:** Visit Split for 4 days.\n**Day 20:** Fly from Split to Zurich.\n**Day 20-24:** Visit Zurich for 5 days.\n**Day 24:** Fly from Zurich to Santorini.\n**Day 24-27:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Munich**Porto**Lisbon**Stuttgart**London**Dublin**Valencia**Zurich**Santorini",
    "ground_truth_durations": "5**2**4**5**2**2**5**3**3**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Dublin",
        "Valencia"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Munich",
        "Dublin"
      ],
      [
        "Porto",
        "Lisbon"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Munich",
        "Porto"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Lisbon",
        "London"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Porto",
        "Dublin"
      ],
      [
        "Stuttgart",
        "London"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Lisbon",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You want to spend 2 days in London. You would like to visit Zurich for 3 days. You are going to attend a wedding in Zurich between day 21 and day 23. You plan to stay in Valencia for 3 days. You would like to meet your friends at Valencia between day 19 and day 21 to tour together. You plan to stay in Dublin for 5 days. You have to attend a workshop in Dublin between day 15 and day 19. You want to spend 4 days in Santorini. You plan to stay in Lisbon for 5 days. You want to spend 4 days in Porto. From day 6 to day 9, there is a annual show you want to attend in Porto. You would like to visit Stuttgart for 2 days. During day 13 and day 14, you have to attend a conference in Stuttgart. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nDublin and Santorini, Stuttgart and Valencia, Porto and Stuttgart, Porto and Zurich, Dublin and Valencia, Lisbon and Stuttgart, Prague and Zurich, Prague and London, Lisbon and Valencia, Prague and Munich, Munich and Dublin, Porto and Lisbon, Prague and Dublin, Dublin and Zurich, London and Santorini, London and Valencia, Munich and Zurich, London and Zurich, Munich and Lisbon, Zurich and Santorini, Munich and London, London and Dublin, Munich and Porto, Prague and Valencia, Porto and Valencia, Lisbon and London, Munich and Valencia, Prague and Lisbon, Porto and Dublin, Stuttgart and London, Lisbon and Dublin, Valencia and Zurich, Lisbon and Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Munich. You want to spend 2 days in London. You would like to visit Zurich for 3 days. You are going to attend a wedding in Zurich between day 21 and day 23. You plan to stay in Valencia for 3 days. You would like to meet your friends at Valencia between day 19 and day 21 to tour together. You plan to stay in Dublin for 5 days. You have to attend a workshop in Dublin between day 15 and day 19. You want to spend 4 days in Santorini. You plan to stay in Lisbon for 5 days. You want to spend 4 days in Porto. From day 6 to day 9, there is a annual show you want to attend in Porto. You would like to visit Stuttgart for 2 days. During day 13 and day 14, you have to attend a conference in Stuttgart. You would like to visit Prague for 5 days.\n\nHere are the cities that have direct flights:\nfrom Dublin to Santorini, from Stuttgart to Valencia, from Porto to Stuttgart, from Porto to Zurich, from Dublin to Valencia, from Lisbon to Stuttgart, from Prague to Zurich, from Prague to London, from Lisbon to Valencia, from Prague to Munich, from Munich to Dublin, from Porto to Lisbon, from Prague to Dublin, from Dublin to Zurich, from London to Santorini, from London to Valencia, from Munich to Zurich, from London to Zurich, from Munich to Lisbon, from Zurich to Santorini, from Munich to London, from London to Dublin, from Munich to Porto, from Prague to Valencia, from Porto to Valencia, from Lisbon to London, from Munich to Valencia, from Prague to Lisbon, from Porto to Dublin, from Stuttgart to London, from Lisbon to Dublin, from Valencia to Zurich, from Lisbon to Zurich.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to London.\n**Day 14-15:** Visit London for 2 days.\n**Day 15:** Fly from London to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Valencia.\n**Day 19-21:** Visit Valencia for 3 days.\n**Day 21:** Fly from Valencia to Zurich.\n**Day 21-23:** Visit Zurich for 3 days.\n**Day 23:** Fly from Zurich to Santorini.\n**Day 23-26:** Visit Santorini for 4 days.",
    "id": "trip_planning_example_1539",
    "estimated_output_tokens": 5428,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Santorini, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Prague, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Porto, Fixed Schedule: Day 6 - 9.\n* City: Stuttgart, Fixed Schedule: Day 13 - 14.\n* City: Dublin, Fixed Schedule: Day 15 - 19.\n* City: Valencia, Fixed Schedule: Day 19 - 21.\n* City: Zurich, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Munich, Duration: 2 days.\n* City: London, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n* City: Lisbon, Duration: 5 days.\n* City: Prague, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, London, Santorini, Lisbon, Prague] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of Munich is Day 2. The arrival day of Porto is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Santorini, Lisbon, Prague] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Munich to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 6 - 9).\n   |- The departure day of London is Day 3. The arrival day of Porto is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Munich, London].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Lisbon, Prague] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from London to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Porto (Day 6 - 9).\n     |- The departure day of Santorini is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Munich, London, Santorini].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n       |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Santorini to Porto.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from London to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from London to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 6 - 9).\n   |- The departure day of Lisbon is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Lisbon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lisbon to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Munich to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit London from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of London is Day 2. The arrival day of Porto is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Santorini, Lisbon, Prague] and explore these options in order.\n   |- Try arranging to visit Munich from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from London to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from London to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Porto (Day 6 - 9).\n   |- The departure day of Santorini is Day 5. The arrival day of Porto is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Lisbon, Prague] and explore these options in order.\n     |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Santorini to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from London to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from London to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of Santorini is Day 4. The arrival day of Porto is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, London, Lisbon, Prague] and explore these options in order.\n   |- Try arranging to visit Munich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Santorini to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Santorini to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of Lisbon is Day 5. The arrival day of Porto is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, London, Santorini, Prague] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lisbon to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit London from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Lisbon to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 6 - 9).\n   |- The departure day of London is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lisbon, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from London to Porto.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Lisbon to Prague.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Porto (Day 6 - 9).\n |- The departure day of Prague is Day 5. The arrival day of Porto is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, London, Santorini, Lisbon] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Prague to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 6 - 9).\n   |- The departure day of Munich is Day 6. The arrival day of Porto is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Prague, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Porto.\n     |- Try arranging to visit Porto from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stuttgart (Day 13 - 14).\n     |- The departure day of Porto is Day 9. The arrival day of Stuttgart is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, Munich, Porto].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Santorini, Lisbon] and explore these options in order.\n       |- Try arranging to visit London from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Porto to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Porto to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Porto to Lisbon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 13 - 14).\n       |- The departure day of Lisbon is Day 13. The arrival day of Stuttgart is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Prague, Munich, Porto, Lisbon].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- Yes. The city with an arrival day of Day 13 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Lisbon to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dublin (Day 15 - 19).\n         |- The departure day of Stuttgart is Day 14. The arrival day of Dublin is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [London, Santorini] and explore these options in order.\n           |- Try arranging to visit London from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Stuttgart to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 15 - 19).\n           |- The departure day of London is Day 15. The arrival day of Dublin is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart, London].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from London to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Valencia (Day 19 - 21).\n             |- The departure day of Dublin is Day 19. The arrival day of Valencia is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart, London, Dublin].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Dublin to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Zurich (Day 21 - 23).\n               |- The departure day of Valencia is Day 21. The arrival day of Zurich is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart, London, Dublin, Valencia].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Zurich.\n                 |- Try arranging to visit Zurich from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Valencia to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart, London, Dublin, Valencia, Zurich].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Zurich to Santorini.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Prague, Munich, Porto, Lisbon, Stuttgart, London, Dublin, Valencia, Zurich, Santorini].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Prague and visit Prague for 5 days.\n**Day 5:** Fly from Prague to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Porto.\n**Day 6-9:** Visit Porto for 4 days.\n**Day 9:** Fly from Porto to Lisbon.\n**Day 9-13:** Visit Lisbon for 5 days.\n**Day 13:** Fly from Lisbon to Stuttgart.\n**Day 13-14:** Visit Stuttgart for 2 days.\n**Day 14:** Fly from Stuttgart to London.\n**Day 14-15:** Visit London for 2 days.\n**Day 15:** Fly from London to Dublin.\n**Day 15-19:** Visit Dublin for 5 days.\n**Day 19:** Fly from Dublin to Valencia.\n**Day 19-21:** Visit Valencia for 3 days.\n**Day 21:** Fly from Valencia to Zurich.\n**Day 21-23:** Visit Zurich for 3 days.\n**Day 23:** Fly from Zurich to Santorini.\n**Day 23-26:** Visit Santorini for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Nice**Edinburgh**Seville**Barcelona**Santorini**Geneva**Dubrovnik**Stockholm**Riga**Vilnius",
    "ground_truth_durations": "2**2**4**4**2**4**2**4**2**3",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 1,
        "end_day": 2
      }
    ],
    "connected_cities": [
      [
        "Nice",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Barcelona",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Geneva",
        "Stockholm"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Barcelona",
        "Santorini"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Edinburgh",
        "Seville"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Dubrovnik",
        "Stockholm"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Nice",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You would like to meet your friends at Dubrovnik between day 13 and day 14 to tour together. You plan to stay in Stockholm for 4 days. You would like to visit Santorini for 2 days. You want to meet a friend in Santorini between day 9 and day 10. You would like to visit Vilnius for 3 days. From day 18 to day 20, there is a annual show you want to attend in Vilnius. You plan to stay in Seville for 4 days. You plan to stay in Riga for 2 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 10 and day 13. You plan to stay in Edinburgh for 2 days. You plan to stay in Barcelona for 4 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 1 and day 2.\n\nHere are the cities that have direct flights:\nNice and Barcelona, Barcelona and Stockholm, Santorini and Geneva, Barcelona and Dubrovnik, Stockholm and Riga, Geneva and Stockholm, Nice and Stockholm, Edinburgh and Riga, Barcelona and Santorini, Geneva and Dubrovnik, from Stockholm to Santorini, Edinburgh and Geneva, Edinburgh and Stockholm, from Riga to Vilnius, Seville and Barcelona, Edinburgh and Seville, Edinburgh and Barcelona, Dubrovnik and Stockholm, Nice and Riga, Barcelona and Riga, Nice and Edinburgh, Barcelona and Geneva, Nice and Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 2 days. You would like to meet your friends at Dubrovnik between day 13 and day 14 to tour together. You plan to stay in Stockholm for 4 days. You would like to visit Santorini for 2 days. You want to meet a friend in Santorini between day 9 and day 10. You would like to visit Vilnius for 3 days. From day 18 to day 20, there is a annual show you want to attend in Vilnius. You plan to stay in Seville for 4 days. You plan to stay in Riga for 2 days. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 10 and day 13. You plan to stay in Edinburgh for 2 days. You plan to stay in Barcelona for 4 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 1 and day 2.\n\nHere are the cities that have direct flights:\nfrom Nice to Barcelona, from Barcelona to Stockholm, from Santorini to Geneva, from Barcelona to Dubrovnik, from Stockholm to Riga, from Geneva to Stockholm, from Nice to Stockholm, from Edinburgh to Riga, from Barcelona to Santorini, from Geneva to Dubrovnik, from Stockholm to Santorini, from Edinburgh to Geneva, from Edinburgh to Stockholm, from Riga to Vilnius, from Seville to Barcelona, from Edinburgh to Seville, from Edinburgh to Barcelona, from Dubrovnik to Stockholm, from Nice to Riga, from Barcelona to Riga, from Nice to Edinburgh, from Barcelona to Geneva, from Nice to Geneva.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Seville.\n**Day 3-6:** Visit Seville for 4 days.\n**Day 6:** Fly from Seville to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Geneva.\n**Day 10-13:** Visit Geneva for 4 days.\n**Day 13:** Fly from Geneva to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Stockholm.\n**Day 14-17:** Visit Stockholm for 4 days.\n**Day 17:** Fly from Stockholm to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.",
    "id": "trip_planning_example_1540",
    "estimated_output_tokens": 4538,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Stockholm, Duration: 4 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Seville, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Edinburgh, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Nice, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Fixed Schedule: Day 9 - 10.\n* City: Geneva, Fixed Schedule: Day 10 - 13.\n* City: Dubrovnik, Fixed Schedule: Day 13 - 14.\n* City: Vilnius, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Stockholm, Duration: 4 days.\n* City: Seville, Duration: 4 days.\n* City: Riga, Duration: 2 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Barcelona, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Nice.\n |- Try arranging to visit Nice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Nice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 9 - 10).\n |- The departure day of Nice is Day 2. The arrival day of Santorini is Day 9. Day 2 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Nice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stockholm, Seville, Riga, Edinburgh, Barcelona] and explore these options in order.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 9 - 10).\n   |- The departure day of Stockholm is Day 5. The arrival day of Santorini is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Nice, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Riga, Edinburgh, Barcelona] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 9 - 10).\n     |- The departure day of Riga is Day 6. The arrival day of Santorini is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Stockholm, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Edinburgh, Barcelona] and explore these options in order.\n       |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Riga to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Riga to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Stockholm to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Nice to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Nice to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 9 - 10).\n   |- The departure day of Riga is Day 3. The arrival day of Santorini is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Nice, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Seville, Edinburgh, Barcelona] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Stockholm.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Riga to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Barcelona.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Nice to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 9 - 10).\n   |- The departure day of Edinburgh is Day 3. The arrival day of Santorini is Day 9. Day 3 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Nice, Edinburgh].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Stockholm, Seville, Riga, Barcelona] and explore these options in order.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Edinburgh to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 9 - 10).\n     |- The departure day of Stockholm is Day 6. The arrival day of Santorini is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Edinburgh, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Seville, Riga, Barcelona] and explore these options in order.\n       |- Try arranging to visit Seville from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Stockholm to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 9 - 10).\n       |- The departure day of Riga is Day 7. The arrival day of Santorini is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Nice, Edinburgh, Stockholm, Riga].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona] and explore these options in order.\n         |- Try arranging to visit Seville from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Riga to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Riga to Barcelona.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Barcelona.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Edinburgh to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 9 - 10).\n     |- The departure day of Seville is Day 6. The arrival day of Santorini is Day 9. Day 6 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Nice, Edinburgh, Seville].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Stockholm, Riga, Barcelona] and explore these options in order.\n       |- Try arranging to visit Stockholm from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Seville to Stockholm.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Seville to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Seville to Barcelona.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 9 - 10).\n       |- The departure day of Barcelona is Day 9. The arrival day of Santorini is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Nice, Edinburgh, Seville, Barcelona].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Barcelona to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Geneva (Day 10 - 13).\n         |- The departure day of Santorini is Day 10. The arrival day of Geneva is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Geneva.\n           |- Try arranging to visit Geneva from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Santorini to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 13 - 14).\n           |- The departure day of Geneva is Day 13. The arrival day of Dubrovnik is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini, Geneva].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Geneva to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 18 - 20).\n             |- The departure day of Dubrovnik is Day 14. The arrival day of Vilnius is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini, Geneva, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stockholm, Riga] and explore these options in order.\n               |- Try arranging to visit Stockholm from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Dubrovnik to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 18 - 20).\n               |- The departure day of Stockholm is Day 17. The arrival day of Vilnius is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini, Geneva, Dubrovnik, Stockholm].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Stockholm to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 18 - 20).\n                 |- The departure day of Riga is Day 18. The arrival day of Vilnius is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini, Geneva, Dubrovnik, Stockholm, Riga].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- Yes. The city with an arrival day of Day 18 - is fixed: Vilnius.\n                   |- Try arranging to visit Vilnius from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                   |- Check for direct flight from Riga to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Nice, Edinburgh, Seville, Barcelona, Santorini, Geneva, Dubrovnik, Stockholm, Riga, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Nice and visit Nice for 2 days.\n**Day 2:** Fly from Nice to Edinburgh.\n**Day 2-3:** Visit Edinburgh for 2 days.\n**Day 3:** Fly from Edinburgh to Seville.\n**Day 3-6:** Visit Seville for 4 days.\n**Day 6:** Fly from Seville to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Santorini.\n**Day 9-10:** Visit Santorini for 2 days.\n**Day 10:** Fly from Santorini to Geneva.\n**Day 10-13:** Visit Geneva for 4 days.\n**Day 13:** Fly from Geneva to Dubrovnik.\n**Day 13-14:** Visit Dubrovnik for 2 days.\n**Day 14:** Fly from Dubrovnik to Stockholm.\n**Day 14-17:** Visit Stockholm for 4 days.\n**Day 17:** Fly from Stockholm to Riga.\n**Day 17-18:** Visit Riga for 2 days.\n**Day 18:** Fly from Riga to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dublin**Berlin**Reykjavik**Vienna**Zurich**Porto**Warsaw**Bucharest**Riga**Vilnius",
    "ground_truth_durations": "4**2**2**2**2**5**2**2**4**5",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 17,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 6,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Vienna",
        "Porto"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Dublin",
        "Bucharest"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Dublin",
        "Berlin"
      ],
      [
        "Vienna",
        "Zurich"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Berlin",
        "Vilnius"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Zurich",
        "Bucharest"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Dublin",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Berlin",
        "Porto"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Warsaw",
        "Bucharest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 17 and day 21. You want to spend 5 days in Porto. You plan to stay in Bucharest for 2 days. You plan to stay in Warsaw for 2 days. You would like to visit Riga for 4 days. You would like to visit Dublin for 4 days. You want to meet a friend in Dublin between day 1 and day 4. You plan to stay in Reykjavik for 2 days. You plan to visit relatives in Reykjavik between day 5 and day 6. You would like to visit Zurich for 2 days. You have to attend a workshop in Zurich between day 7 and day 8. You want to spend 2 days in Vienna. From day 6 to day 7, there is a annual show you want to attend in Vienna. You plan to stay in Berlin for 2 days.\n\nHere are the cities that have direct flights:\nZurich and Vilnius, Bucharest and Riga, Vienna and Porto, Berlin and Riga, Vienna and Vilnius, Vienna and Riga, Zurich and Riga, Vienna and Warsaw, Porto and Warsaw, Vienna and Bucharest, Dublin and Bucharest, Reykjavik and Vienna, Warsaw and Vilnius, Dublin and Berlin, Vienna and Zurich, Dublin and Riga, Berlin and Vilnius, Dublin and Reykjavik, Reykjavik and Zurich, Berlin and Zurich, Zurich and Bucharest, Zurich and Porto, Dublin and Porto, Berlin and Warsaw, Warsaw and Riga, Berlin and Reykjavik, Zurich and Warsaw, Dublin and Zurich, from Riga to Vilnius, Dublin and Vienna, Berlin and Vienna, Berlin and Porto, Reykjavik and Warsaw, Warsaw and Bucharest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Vilnius. You are going to attend a wedding in Vilnius between day 17 and day 21. You want to spend 5 days in Porto. You plan to stay in Bucharest for 2 days. You plan to stay in Warsaw for 2 days. You would like to visit Riga for 4 days. You would like to visit Dublin for 4 days. You want to meet a friend in Dublin between day 1 and day 4. You plan to stay in Reykjavik for 2 days. You plan to visit relatives in Reykjavik between day 5 and day 6. You would like to visit Zurich for 2 days. You have to attend a workshop in Zurich between day 7 and day 8. You want to spend 2 days in Vienna. From day 6 to day 7, there is a annual show you want to attend in Vienna. You plan to stay in Berlin for 2 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Vilnius, from Bucharest to Riga, from Vienna to Porto, from Berlin to Riga, from Vienna to Vilnius, from Vienna to Riga, from Zurich to Riga, from Vienna to Warsaw, from Porto to Warsaw, from Vienna to Bucharest, from Dublin to Bucharest, from Reykjavik to Vienna, from Warsaw to Vilnius, from Dublin to Berlin, from Vienna to Zurich, from Dublin to Riga, from Berlin to Vilnius, from Dublin to Reykjavik, from Reykjavik to Zurich, from Berlin to Zurich, from Zurich to Bucharest, from Zurich to Porto, from Dublin to Porto, from Berlin to Warsaw, from Warsaw to Riga, from Berlin to Reykjavik, from Zurich to Warsaw, from Dublin to Zurich, from Riga to Vilnius, from Dublin to Vienna, from Berlin to Vienna, from Berlin to Porto, from Reykjavik to Warsaw, from Warsaw to Bucharest.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Vienna.\n**Day 6-7:** Visit Vienna for 2 days.\n**Day 7:** Fly from Vienna to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Warsaw.\n**Day 12-13:** Visit Warsaw for 2 days.\n**Day 13:** Fly from Warsaw to Bucharest.\n**Day 13-14:** Visit Bucharest for 2 days.\n**Day 14:** Fly from Bucharest to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Vilnius.\n**Day 17-21:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1541",
    "estimated_output_tokens": 3244,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 17 - 21.\n* City: Porto, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Riga, Duration: 4 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Vienna, Duration: 2 days, Fixed Schedule: Day 6 - 7.\n* City: Berlin, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dublin, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 5 - 6.\n* City: Vienna, Fixed Schedule: Day 6 - 7.\n* City: Zurich, Fixed Schedule: Day 7 - 8.\n* City: Vilnius, Fixed Schedule: Day 17 - 21.\n\nCities needing arrangement:\n* City: Porto, Duration: 5 days.\n* City: Bucharest, Duration: 2 days.\n* City: Warsaw, Duration: 2 days.\n* City: Riga, Duration: 4 days.\n* City: Berlin, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dublin.\n |- Try arranging to visit Dublin from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dublin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 5 - 6).\n |- The departure day of Dublin is Day 4. The arrival day of Reykjavik is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dublin].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Bucharest, Warsaw, Riga, Berlin] and explore these options in order.\n   |- Try arranging to visit Porto from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dublin to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Porto is Day 8. The arrival day of Reykjavik is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dublin to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Bucharest is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dublin to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Dublin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Riga is Day 7. The arrival day of Reykjavik is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Berlin from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dublin to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 5 - 6).\n   |- The departure day of Berlin is Day 5. The arrival day of Reykjavik is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dublin, Berlin].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Reykjavik.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 6 - 7).\n     |- The departure day of Reykjavik is Day 6. The arrival day of Vienna is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dublin, Berlin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Vienna.\n       |- Try arranging to visit Vienna from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Reykjavik to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Zurich (Day 7 - 8).\n       |- The departure day of Vienna is Day 7. The arrival day of Zurich is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dublin, Berlin, Reykjavik, Vienna].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n         |- Check for direct flight from Vienna to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Vilnius (Day 17 - 21).\n         |- The departure day of Zurich is Day 8. The arrival day of Vilnius is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 8. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich].\n          |- Check whether the city with an arrival day of Day 8 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Bucharest, Warsaw, Riga] and explore these options in order.\n           |- Try arranging to visit Porto from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n           |- Check for direct flight from Zurich to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 17 - 21).\n           |- The departure day of Porto is Day 12. The arrival day of Vilnius is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich, Porto].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Warsaw, Riga] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Porto to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Warsaw from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n             |- Check for direct flight from Porto to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 17 - 21).\n             |- The departure day of Warsaw is Day 13. The arrival day of Vilnius is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich, Porto, Warsaw].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Riga] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n               |- Check for direct flight from Warsaw to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 17 - 21).\n               |- The departure day of Bucharest is Day 14. The arrival day of Vilnius is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 14. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich, Porto, Warsaw, Bucharest].\n                |- Check whether the city with an arrival day of Day 14 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n                 |- Check for direct flight from Bucharest to Riga.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 17 - 21).\n                 |- The departure day of Riga is Day 17. The arrival day of Vilnius is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich, Porto, Warsaw, Bucharest, Riga].\n                  |- Check whether the city with an arrival day of Day 17 - is fixed.\n                  |- Yes. The city with an arrival day of Day 17 - is fixed: Vilnius.\n                   |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                   |- Check for direct flight from Riga to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Dublin, Berlin, Reykjavik, Vienna, Zurich, Porto, Warsaw, Bucharest, Riga, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dublin and visit Dublin for 4 days.\n**Day 4:** Fly from Dublin to Berlin.\n**Day 4-5:** Visit Berlin for 2 days.\n**Day 5:** Fly from Berlin to Reykjavik.\n**Day 5-6:** Visit Reykjavik for 2 days.\n**Day 6:** Fly from Reykjavik to Vienna.\n**Day 6-7:** Visit Vienna for 2 days.\n**Day 7:** Fly from Vienna to Zurich.\n**Day 7-8:** Visit Zurich for 2 days.\n**Day 8:** Fly from Zurich to Porto.\n**Day 8-12:** Visit Porto for 5 days.\n**Day 12:** Fly from Porto to Warsaw.\n**Day 12-13:** Visit Warsaw for 2 days.\n**Day 13:** Fly from Warsaw to Bucharest.\n**Day 13-14:** Visit Bucharest for 2 days.\n**Day 14:** Fly from Bucharest to Riga.\n**Day 14-17:** Visit Riga for 4 days.\n**Day 17:** Fly from Riga to Vilnius.\n**Day 17-21:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Salzburg**Hamburg**Nice**Dublin**Prague**Brussels**Geneva**Santorini**London**Stuttgart",
    "ground_truth_durations": "5**4**5**5**2**3**2**5**5**3",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 24,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Salzburg",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Hamburg",
        "Dublin"
      ],
      [
        "Hamburg",
        "Brussels"
      ],
      [
        "Salzburg",
        "Hamburg"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Hamburg",
        "London"
      ],
      [
        "London",
        "Stuttgart"
      ],
      [
        "Geneva",
        "London"
      ],
      [
        "Dublin",
        "Santorini"
      ],
      [
        "Dublin",
        "Brussels"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Dublin",
        "Prague"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Nice",
        "Brussels"
      ],
      [
        "Brussels",
        "Geneva"
      ],
      [
        "Nice",
        "London"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Dublin",
        "London"
      ],
      [
        "Dublin",
        "Geneva"
      ],
      [
        "Nice",
        "Dublin"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You plan to stay in Hamburg for 4 days. You plan to stay in Geneva for 2 days. You plan to stay in London for 5 days. You have to attend a workshop in London between day 24 and day 28. You would like to visit Salzburg for 5 days. From day 1 to day 5, there is a annual show you want to attend in Salzburg. You plan to stay in Santorini for 5 days. You plan to stay in Brussels for 3 days. During day 17 and day 19, you have to attend a conference in Brussels. You would like to visit Stuttgart for 3 days. You plan to stay in Dublin for 5 days. You want to meet a friend in Dublin between day 12 and day 16. You would like to visit Nice for 5 days.\n\nHere are the cities that have direct flights:\nHamburg and Dublin, Hamburg and Brussels, Salzburg and Hamburg, Geneva and Santorini, Brussels and London, Hamburg and London, London and Stuttgart, Geneva and London, Dublin and Santorini, Dublin and Brussels, Santorini and London, from Hamburg to Geneva, Dublin and Prague, Hamburg and Stuttgart, Prague and Geneva, Prague and London, Nice and Brussels, Brussels and Geneva, Nice and London, Prague and Brussels, Nice and Geneva, Hamburg and Nice, Dublin and London, Dublin and Geneva, Nice and Dublin.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Prague for 2 days. You plan to stay in Hamburg for 4 days. You plan to stay in Geneva for 2 days. You plan to stay in London for 5 days. You have to attend a workshop in London between day 24 and day 28. You would like to visit Salzburg for 5 days. From day 1 to day 5, there is a annual show you want to attend in Salzburg. You plan to stay in Santorini for 5 days. You plan to stay in Brussels for 3 days. During day 17 and day 19, you have to attend a conference in Brussels. You would like to visit Stuttgart for 3 days. You plan to stay in Dublin for 5 days. You want to meet a friend in Dublin between day 12 and day 16. You would like to visit Nice for 5 days.\n\nHere are the cities that have direct flights:\nfrom Hamburg to Dublin, from Hamburg to Brussels, from Salzburg to Hamburg, from Geneva to Santorini, from Brussels to London, from Hamburg to London, from London to Stuttgart, from Geneva to London, from Dublin to Santorini, from Dublin to Brussels, from Santorini to London, from Hamburg to Geneva, from Dublin to Prague, from Hamburg to Stuttgart, from Prague to Geneva, from Prague to London, from Nice to Brussels, from Brussels to Geneva, from Nice to London, from Prague to Brussels, from Nice to Geneva, from Hamburg to Nice, from Dublin to London, from Dublin to Geneva, from Nice to Dublin.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-8:** Visit Hamburg for 4 days.\n**Day 8:** Fly from Hamburg to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Dublin.\n**Day 12-16:** Visit Dublin for 5 days.\n**Day 16:** Fly from Dublin to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Brussels.\n**Day 17-19:** Visit Brussels for 3 days.\n**Day 19:** Fly from Brussels to Geneva.\n**Day 19-20:** Visit Geneva for 2 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.\n**Day 24:** Fly from Santorini to London.\n**Day 24-28:** Visit London for 5 days.\n**Day 28:** Fly from London to Stuttgart.\n**Day 28-30:** Visit Stuttgart for 3 days.",
    "id": "trip_planning_example_1542",
    "estimated_output_tokens": 3534,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: London, Duration: 5 days, Fixed Schedule: Day 24 - 28.\n* City: Salzburg, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Duration: 5 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Stuttgart, Duration: 3 days.\n* City: Dublin, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Nice, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Salzburg, Fixed Schedule: Day 1 - 5.\n* City: Dublin, Fixed Schedule: Day 12 - 16.\n* City: Brussels, Fixed Schedule: Day 17 - 19.\n* City: London, Fixed Schedule: Day 24 - 28.\n\nCities needing arrangement:\n* City: Prague, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Geneva, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Salzburg.\n |- Try arranging to visit Salzburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Salzburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dublin (Day 12 - 16).\n |- The departure day of Salzburg is Day 5. The arrival day of Dublin is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Salzburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Hamburg, Geneva, Santorini, Stuttgart, Nice] and explore these options in order.\n   |- Try arranging to visit Prague from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Salzburg to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Salzburg to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dublin (Day 12 - 16).\n   |- The departure day of Hamburg is Day 8. The arrival day of Dublin is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Salzburg, Hamburg].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Geneva, Santorini, Stuttgart, Nice] and explore these options in order.\n     |- Try arranging to visit Prague from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Hamburg to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Hamburg to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 12 - 16).\n     |- The departure day of Geneva is Day 9. The arrival day of Dublin is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Salzburg, Hamburg, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Santorini, Stuttgart, Nice] and explore these options in order.\n       |- Try arranging to visit Prague from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Geneva to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Dublin (Day 12 - 16).\n       |- The departure day of Santorini is Day 13. The arrival day of Dublin is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Stuttgart from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Geneva to Stuttgart.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Hamburg to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Hamburg to Stuttgart.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 12 - 16).\n     |- The departure day of Stuttgart is Day 10. The arrival day of Dublin is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Salzburg, Hamburg, Stuttgart].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Geneva, Santorini, Nice] and explore these options in order.\n       |- Try arranging to visit Prague from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Stuttgart to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stuttgart to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Stuttgart to Nice.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Hamburg to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 12 - 16).\n     |- The departure day of Nice is Day 12. The arrival day of Dublin is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Salzburg, Hamburg, Nice].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Dublin.\n       |- Try arranging to visit Dublin from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Nice to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Brussels (Day 17 - 19).\n       |- The departure day of Dublin is Day 16. The arrival day of Brussels is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Salzburg, Hamburg, Nice, Dublin].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Geneva, Santorini, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Prague from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n         |- Check for direct flight from Dublin to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Brussels (Day 17 - 19).\n         |- The departure day of Prague is Day 17. The arrival day of Brussels is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Brussels.\n           |- Try arranging to visit Brussels from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Prague to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: London (Day 24 - 28).\n           |- The departure day of Brussels is Day 19. The arrival day of London is Day 24. Day 19 is not later than (<=) Day 24. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague, Brussels].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Santorini, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Brussels to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: London (Day 24 - 28).\n             |- The departure day of Geneva is Day 20. The arrival day of London is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague, Brussels, Geneva].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Geneva to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: London (Day 24 - 28).\n               |- The departure day of Santorini is Day 24. The arrival day of London is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague, Brussels, Geneva, Santorini].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: London.\n                 |- Try arranging to visit London from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Santorini to London.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague, Brussels, Geneva, Santorini, London].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                   |- Try arranging to visit Stuttgart from Day 28. Duration: 3 days. Schedule: Day 28 - 30.\n                   |- Check for direct flight from London to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Salzburg, Hamburg, Nice, Dublin, Prague, Brussels, Geneva, Santorini, London, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Salzburg and visit Salzburg for 5 days.\n**Day 5:** Fly from Salzburg to Hamburg.\n**Day 5-8:** Visit Hamburg for 4 days.\n**Day 8:** Fly from Hamburg to Nice.\n**Day 8-12:** Visit Nice for 5 days.\n**Day 12:** Fly from Nice to Dublin.\n**Day 12-16:** Visit Dublin for 5 days.\n**Day 16:** Fly from Dublin to Prague.\n**Day 16-17:** Visit Prague for 2 days.\n**Day 17:** Fly from Prague to Brussels.\n**Day 17-19:** Visit Brussels for 3 days.\n**Day 19:** Fly from Brussels to Geneva.\n**Day 19-20:** Visit Geneva for 2 days.\n**Day 20:** Fly from Geneva to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.\n**Day 24:** Fly from Santorini to London.\n**Day 24-28:** Visit London for 5 days.\n**Day 28:** Fly from London to Stuttgart.\n**Day 28-30:** Visit Stuttgart for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**London**Lisbon**Athens**Dubrovnik**Dublin**Seville**Porto**Warsaw**Vilnius",
    "ground_truth_durations": "3**3**5**3**3**3**2**5**4**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Prague",
        "Athens"
      ],
      [
        "London",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "London",
        "Dublin"
      ],
      [
        "Athens",
        "Vilnius"
      ],
      [
        "Athens",
        "Dublin"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Dublin",
        "Porto"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Porto",
        "Warsaw"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Prague",
        "Dublin"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "London",
        "Athens"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 3 days. You have to attend a workshop in Prague between day 1 and day 3. You would like to visit Warsaw for 4 days. You would like to meet your friends at Warsaw between day 20 and day 23 to tour together. You want to spend 3 days in Dublin. You would like to visit Athens for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Porto for 5 days. During day 16 and day 20, you have to attend a conference in Porto. You plan to stay in London for 3 days. You are going to attend a wedding in London between day 3 and day 5. You want to spend 2 days in Seville. You plan to stay in Lisbon for 5 days. You plan to visit relatives in Lisbon between day 5 and day 9. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nWarsaw and Vilnius, Prague and Athens, London and Lisbon, Lisbon and Porto, Prague and Lisbon, London and Dublin, Athens and Vilnius, Athens and Dublin, Prague and London, London and Warsaw, Dublin and Seville, Seville and Porto, Lisbon and Athens, Dublin and Porto, Athens and Warsaw, Lisbon and Warsaw, Porto and Warsaw, Prague and Warsaw, Prague and Dublin, Athens and Dubrovnik, Lisbon and Dublin, Dubrovnik and Dublin, Lisbon and Seville, London and Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Prague for 3 days. You have to attend a workshop in Prague between day 1 and day 3. You would like to visit Warsaw for 4 days. You would like to meet your friends at Warsaw between day 20 and day 23 to tour together. You want to spend 3 days in Dublin. You would like to visit Athens for 3 days. You would like to visit Vilnius for 4 days. You would like to visit Porto for 5 days. During day 16 and day 20, you have to attend a conference in Porto. You plan to stay in London for 3 days. You are going to attend a wedding in London between day 3 and day 5. You want to spend 2 days in Seville. You plan to stay in Lisbon for 5 days. You plan to visit relatives in Lisbon between day 5 and day 9. You plan to stay in Dubrovnik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Warsaw to Vilnius, from Prague to Athens, from London to Lisbon, from Lisbon to Porto, from Prague to Lisbon, from London to Dublin, from Athens to Vilnius, from Athens to Dublin, from Prague to London, from London to Warsaw, from Dublin to Seville, from Seville to Porto, from Lisbon to Athens, from Dublin to Porto, from Athens to Warsaw, from Lisbon to Warsaw, from Porto to Warsaw, from Prague to Warsaw, from Prague to Dublin, from Athens to Dubrovnik, from Lisbon to Dublin, from Dubrovnik to Dublin, from Lisbon to Seville, from London to Athens.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Dublin.\n**Day 13-15:** Visit Dublin for 3 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Porto.\n**Day 16-20:** Visit Porto for 5 days.\n**Day 20:** Fly from Porto to Warsaw.\n**Day 20-23:** Visit Warsaw for 4 days.\n**Day 23:** Fly from Warsaw to Vilnius.\n**Day 23-26:** Visit Vilnius for 4 days.",
    "id": "trip_planning_example_1543",
    "estimated_output_tokens": 4410,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Dublin, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Porto, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: London, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Seville, Duration: 2 days.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Dubrovnik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 1 - 3.\n* City: London, Fixed Schedule: Day 3 - 5.\n* City: Lisbon, Fixed Schedule: Day 5 - 9.\n* City: Porto, Fixed Schedule: Day 16 - 20.\n* City: Warsaw, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Dublin, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Prague.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 3 - 5).\n |- The departure day of Prague is Day 3. The arrival day of London is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: London.\n   |- Try arranging to visit London from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 5 - 9).\n   |- The departure day of London is Day 5. The arrival day of Lisbon is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Prague, London].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from London to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Porto (Day 16 - 20).\n     |- The departure day of Lisbon is Day 9. The arrival day of Porto is Day 16. Day 9 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Prague, London, Lisbon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dublin, Athens, Vilnius, Seville, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Dublin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 16 - 20).\n       |- The departure day of Dublin is Day 11. The arrival day of Porto is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, London, Lisbon, Dublin].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Seville, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Athens from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Dublin to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dublin to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Dublin to Seville.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 16 - 20).\n         |- The departure day of Seville is Day 12. The arrival day of Porto is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Prague, London, Lisbon, Dublin, Seville].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Athens from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Seville to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Seville to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Seville to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Dublin to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lisbon to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Porto (Day 16 - 20).\n       |- The departure day of Athens is Day 11. The arrival day of Porto is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Prague, London, Lisbon, Athens].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dublin, Vilnius, Seville, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 16 - 20).\n         |- The departure day of Dublin is Day 13. The arrival day of Porto is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Prague, London, Lisbon, Athens, Dublin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Dublin to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dublin to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 16 - 20).\n           |- The departure day of Seville is Day 14. The arrival day of Porto is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Prague, London, Lisbon, Athens, Dublin, Seville].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Seville to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Seville to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Dublin to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Athens to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 16 - 20).\n         |- The departure day of Vilnius is Day 14. The arrival day of Porto is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Prague, London, Lisbon, Athens, Vilnius].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Seville, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vilnius to Dublin.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Vilnius to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Vilnius to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Athens to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Athens to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Porto (Day 16 - 20).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Porto is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dublin, Vilnius, Seville] and explore these options in order.\n           |- Try arranging to visit Dublin from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Dubrovnik to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Porto (Day 16 - 20).\n           |- The departure day of Dublin is Day 15. The arrival day of Porto is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik, Dublin].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Dublin to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Dublin to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Porto (Day 16 - 20).\n             |- The departure day of Seville is Day 16. The arrival day of Porto is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik, Dublin, Seville].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Seville to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 20 - 23).\n               |- The departure day of Porto is Day 20. The arrival day of Warsaw is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik, Dublin, Seville, Porto].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Porto to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik, Dublin, Seville, Porto, Warsaw].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Warsaw to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Prague, London, Lisbon, Athens, Dubrovnik, Dublin, Seville, Porto, Warsaw, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to London.\n**Day 3-5:** Visit London for 3 days.\n**Day 5:** Fly from London to Lisbon.\n**Day 5-9:** Visit Lisbon for 5 days.\n**Day 9:** Fly from Lisbon to Athens.\n**Day 9-11:** Visit Athens for 3 days.\n**Day 11:** Fly from Athens to Dubrovnik.\n**Day 11-13:** Visit Dubrovnik for 3 days.\n**Day 13:** Fly from Dubrovnik to Dublin.\n**Day 13-15:** Visit Dublin for 3 days.\n**Day 15:** Fly from Dublin to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Porto.\n**Day 16-20:** Visit Porto for 5 days.\n**Day 20:** Fly from Porto to Warsaw.\n**Day 20-23:** Visit Warsaw for 4 days.\n**Day 23:** Fly from Warsaw to Vilnius.\n**Day 23-26:** Visit Vilnius for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Berlin**Helsinki**Geneva**Nice**Reykjavik**Budapest**Vienna**Santorini**Naples",
    "ground_truth_durations": "3**2**5**2**3**2**3**3**3**2",
    "num_cities": 10,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Santorini"
      ],
      [
        "Berlin",
        "Reykjavik"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Budapest",
        "Naples"
      ],
      [
        "Helsinki",
        "Reykjavik"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Berlin",
        "Nice"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Reykjavik",
        "Budapest"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Helsinki",
        "Geneva"
      ],
      [
        "Geneva",
        "Budapest"
      ],
      [
        "Geneva",
        "Naples"
      ],
      [
        "Helsinki",
        "Vienna"
      ],
      [
        "Nice",
        "Reykjavik"
      ],
      [
        "Berlin",
        "Budapest"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Berlin",
        "Geneva"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Venice",
        "Berlin"
      ],
      [
        "Helsinki",
        "Budapest"
      ],
      [
        "Reykjavik",
        "Vienna"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Nice",
        "Vienna"
      ],
      [
        "Berlin",
        "Helsinki"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Venice",
        "Nice"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Vienna",
        "Naples"
      ],
      [
        "Helsinki",
        "Nice"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Venice",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You want to meet a friend in Budapest between day 12 and day 14. You would like to visit Naples for 2 days. From day 18 to day 19, there is a annual show you want to attend in Naples. You want to spend 2 days in Reykjavik. You want to spend 3 days in Nice. You would like to meet your friends at Nice between day 9 and day 11 to tour together. You plan to stay in Berlin for 2 days. You plan to visit relatives in Berlin between day 3 and day 4. You want to spend 3 days in Vienna. You want to spend 5 days in Helsinki. You would like to visit Geneva for 2 days. You are going to attend a wedding in Geneva between day 8 and day 9. You want to spend 3 days in Venice. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nVenice and Santorini, Berlin and Reykjavik, Budapest and Vienna, Budapest and Naples, Helsinki and Reykjavik, Helsinki and Naples, Berlin and Nice, Santorini and Naples, Reykjavik and Budapest, Geneva and Santorini, Helsinki and Geneva, Geneva and Budapest, Geneva and Naples, Helsinki and Vienna, Nice and Reykjavik, Berlin and Budapest, Geneva and Vienna, Berlin and Geneva, Nice and Budapest, Venice and Berlin, Helsinki and Budapest, Reykjavik and Vienna, Berlin and Vienna, Nice and Vienna, Berlin and Helsinki, Vienna and Santorini, Geneva and Nice, Berlin and Naples, Venice and Naples, Venice and Nice, Venice and Vienna, Vienna and Naples, Helsinki and Nice, Nice and Naples, Venice and Helsinki.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 19 days in total. You only take direct flights to commute between cities. You would like to visit Budapest for 3 days. You want to meet a friend in Budapest between day 12 and day 14. You would like to visit Naples for 2 days. From day 18 to day 19, there is a annual show you want to attend in Naples. You want to spend 2 days in Reykjavik. You want to spend 3 days in Nice. You would like to meet your friends at Nice between day 9 and day 11 to tour together. You plan to stay in Berlin for 2 days. You plan to visit relatives in Berlin between day 3 and day 4. You want to spend 3 days in Vienna. You want to spend 5 days in Helsinki. You would like to visit Geneva for 2 days. You are going to attend a wedding in Geneva between day 8 and day 9. You want to spend 3 days in Venice. You would like to visit Santorini for 3 days.\n\nHere are the cities that have direct flights:\nfrom Venice to Santorini, from Berlin to Reykjavik, from Budapest to Vienna, from Budapest to Naples, from Helsinki to Reykjavik, from Helsinki to Naples, from Berlin to Nice, from Santorini to Naples, from Reykjavik to Budapest, from Geneva to Santorini, from Helsinki to Geneva, from Geneva to Budapest, from Geneva to Naples, from Helsinki to Vienna, from Nice to Reykjavik, from Berlin to Budapest, from Geneva to Vienna, from Berlin to Geneva, from Nice to Budapest, from Venice to Berlin, from Helsinki to Budapest, from Reykjavik to Vienna, from Berlin to Vienna, from Nice to Vienna, from Berlin to Helsinki, from Vienna to Santorini, from Geneva to Nice, from Berlin to Naples, from Venice to Naples, from Venice to Nice, from Venice to Vienna, from Vienna to Naples, from Helsinki to Nice, from Nice to Naples, from Venice to Helsinki.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 19 days:\n\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Helsinki.\n**Day 4-8:** Visit Helsinki for 5 days.\n**Day 8:** Fly from Helsinki to Geneva.\n**Day 8-9:** Visit Geneva for 2 days.\n**Day 9:** Fly from Geneva to Nice.\n**Day 9-11:** Visit Nice for 3 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Vienna.\n**Day 14-16:** Visit Vienna for 3 days.\n**Day 16:** Fly from Vienna to Santorini.\n**Day 16-18:** Visit Santorini for 3 days.\n**Day 18:** Fly from Santorini to Naples.\n**Day 18-19:** Visit Naples for 2 days.",
    "id": "trip_planning_example_1544",
    "estimated_output_tokens": 4714,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Reykjavik, Duration: 2 days.\n* City: Nice, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Vienna, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Venice, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 3 - 4.\n* City: Geneva, Fixed Schedule: Day 8 - 9.\n* City: Nice, Fixed Schedule: Day 9 - 11.\n* City: Budapest, Fixed Schedule: Day 12 - 14.\n* City: Naples, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 2 days.\n* City: Vienna, Duration: 3 days.\n* City: Helsinki, Duration: 5 days.\n* City: Venice, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Vienna, Helsinki, Venice, Santorini] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 4).\n |- The departure day of Reykjavik is Day 2. The arrival day of Berlin is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Helsinki, Venice, Santorini] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Berlin (Day 3 - 4).\n   |- The departure day of Vienna is Day 4. The arrival day of Berlin is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Helsinki from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Reykjavik to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Reykjavik to Santorini.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vienna from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 4).\n |- The departure day of Vienna is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Vienna to Berlin.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Helsinki from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 4).\n |- The departure day of Helsinki is Day 5. The arrival day of Berlin is Day 3. Day 5 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 3 - 4).\n |- The departure day of Venice is Day 3. The arrival day of Berlin is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Berlin.\n   |- Try arranging to visit Berlin from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Venice to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Geneva (Day 8 - 9).\n   |- The departure day of Berlin is Day 4. The arrival day of Geneva is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Venice, Berlin].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vienna, Helsinki, Santorini] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Berlin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 8 - 9).\n     |- The departure day of Reykjavik is Day 5. The arrival day of Geneva is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Venice, Berlin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vienna, Helsinki, Santorini] and explore these options in order.\n       |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Reykjavik to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 8 - 9).\n       |- The departure day of Vienna is Day 7. The arrival day of Geneva is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Venice, Berlin, Reykjavik, Vienna].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Vienna to Helsinki.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Vienna to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 8 - 9).\n         |- The departure day of Santorini is Day 9. The arrival day of Geneva is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Reykjavik to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Berlin to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 8 - 9).\n     |- The departure day of Vienna is Day 6. The arrival day of Geneva is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Venice, Berlin, Vienna].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Helsinki, Santorini] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Vienna to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Helsinki from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Vienna to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Vienna to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Geneva (Day 8 - 9).\n       |- The departure day of Santorini is Day 8. The arrival day of Geneva is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Venice, Berlin, Vienna, Santorini].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Geneva.\n         |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Santorini to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Helsinki from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Berlin to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Geneva (Day 8 - 9).\n     |- The departure day of Helsinki is Day 8. The arrival day of Geneva is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Berlin, Helsinki].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Helsinki to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 9 - 11).\n       |- The departure day of Geneva is Day 9. The arrival day of Nice is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Berlin, Helsinki, Geneva].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Geneva to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Budapest (Day 12 - 14).\n         |- The departure day of Nice is Day 11. The arrival day of Budapest is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Vienna, Santorini] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Nice to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 12 - 14).\n           |- The departure day of Reykjavik is Day 12. The arrival day of Budapest is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice, Reykjavik].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Reykjavik to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Naples (Day 18 - 19).\n             |- The departure day of Budapest is Day 14. The arrival day of Naples is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice, Reykjavik, Budapest].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna, Santorini] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Budapest to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Naples (Day 18 - 19).\n               |- The departure day of Vienna is Day 16. The arrival day of Naples is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice, Reykjavik, Budapest, Vienna].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n                 |- Check for direct flight from Vienna to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Naples (Day 18 - 19).\n                 |- The departure day of Santorini is Day 18. The arrival day of Naples is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice, Reykjavik, Budapest, Vienna, Santorini].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- Yes. The city with an arrival day of Day 18 - is fixed: Naples.\n                   |- Try arranging to visit Naples from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                   |- Check for direct flight from Santorini to Naples.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 19. Current plan: [Venice, Berlin, Helsinki, Geneva, Nice, Reykjavik, Budapest, Vienna, Santorini, Naples].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Venice and visit Venice for 3 days.\n**Day 3:** Fly from Venice to Berlin.\n**Day 3-4:** Visit Berlin for 2 days.\n**Day 4:** Fly from Berlin to Helsinki.\n**Day 4-8:** Visit Helsinki for 5 days.\n**Day 8:** Fly from Helsinki to Geneva.\n**Day 8-9:** Visit Geneva for 2 days.\n**Day 9:** Fly from Geneva to Nice.\n**Day 9-11:** Visit Nice for 3 days.\n**Day 11:** Fly from Nice to Reykjavik.\n**Day 11-12:** Visit Reykjavik for 2 days.\n**Day 12:** Fly from Reykjavik to Budapest.\n**Day 12-14:** Visit Budapest for 3 days.\n**Day 14:** Fly from Budapest to Vienna.\n**Day 14-16:** Visit Vienna for 3 days.\n**Day 16:** Fly from Vienna to Santorini.\n**Day 16-18:** Visit Santorini for 3 days.\n**Day 18:** Fly from Santorini to Naples.\n**Day 18-19:** Visit Naples for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stuttgart**Budapest**Mykonos**Geneva**Dubrovnik**Istanbul**Edinburgh**Riga**Warsaw**Split",
    "ground_truth_durations": "4**5**5**5**3**3**2**5**5**3",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 29,
        "end_day": 31
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Geneva"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Stuttgart",
        "Warsaw"
      ],
      [
        "Budapest",
        "Istanbul"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Stuttgart",
        "Budapest"
      ],
      [
        "Istanbul",
        "Warsaw"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Geneva",
        "Istanbul"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Budapest",
        "Edinburgh"
      ],
      [
        "Geneva",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Stuttgart",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You plan to stay in Split for 3 days. From day 29 to day 31, there is a annual show you want to attend in Split. You would like to visit Stuttgart for 4 days. You would like to visit Budapest for 5 days. You want to meet a friend in Budapest between day 4 and day 8. You want to spend 5 days in Riga. During day 21 and day 25, you have to attend a conference in Riga. You want to spend 5 days in Warsaw. You want to spend 5 days in Mykonos. You have to attend a workshop in Mykonos between day 8 and day 12. You would like to visit Edinburgh for 2 days. You want to spend 5 days in Geneva. You are going to attend a wedding in Geneva between day 12 and day 16. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nBudapest and Geneva, from Dubrovnik to Istanbul, Stuttgart and Split, Stuttgart and Warsaw, Budapest and Istanbul, Budapest and Mykonos, Stuttgart and Budapest, Istanbul and Warsaw, Mykonos and Geneva, Istanbul and Riga, Edinburgh and Riga, Stuttgart and Edinburgh, Geneva and Warsaw, Budapest and Warsaw, Geneva and Edinburgh, Geneva and Split, Warsaw and Split, Geneva and Istanbul, Riga and Warsaw, Budapest and Edinburgh, Geneva and Dubrovnik, Istanbul and Edinburgh, Stuttgart and Istanbul.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You would like to visit Dubrovnik for 3 days. You plan to stay in Split for 3 days. From day 29 to day 31, there is a annual show you want to attend in Split. You would like to visit Stuttgart for 4 days. You would like to visit Budapest for 5 days. You want to meet a friend in Budapest between day 4 and day 8. You want to spend 5 days in Riga. During day 21 and day 25, you have to attend a conference in Riga. You want to spend 5 days in Warsaw. You want to spend 5 days in Mykonos. You have to attend a workshop in Mykonos between day 8 and day 12. You would like to visit Edinburgh for 2 days. You want to spend 5 days in Geneva. You are going to attend a wedding in Geneva between day 12 and day 16. You would like to visit Istanbul for 3 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Geneva, from Dubrovnik to Istanbul, from Stuttgart to Split, from Stuttgart to Warsaw, from Budapest to Istanbul, from Budapest to Mykonos, from Stuttgart to Budapest, from Istanbul to Warsaw, from Mykonos to Geneva, from Istanbul to Riga, from Edinburgh to Riga, from Stuttgart to Edinburgh, from Geneva to Warsaw, from Budapest to Warsaw, from Geneva to Edinburgh, from Geneva to Split, from Warsaw to Split, from Geneva to Istanbul, from Riga to Warsaw, from Budapest to Edinburgh, from Geneva to Dubrovnik, from Istanbul to Edinburgh, from Stuttgart to Istanbul.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Mykonos.\n**Day 8-12:** Visit Mykonos for 5 days.\n**Day 12:** Fly from Mykonos to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Dubrovnik.\n**Day 16-18:** Visit Dubrovnik for 3 days.\n**Day 18:** Fly from Dubrovnik to Istanbul.\n**Day 18-20:** Visit Istanbul for 3 days.\n**Day 20:** Fly from Istanbul to Edinburgh.\n**Day 20-21:** Visit Edinburgh for 2 days.\n**Day 21:** Fly from Edinburgh to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Warsaw.\n**Day 25-29:** Visit Warsaw for 5 days.\n**Day 29:** Fly from Warsaw to Split.\n**Day 29-31:** Visit Split for 3 days.",
    "id": "trip_planning_example_1545",
    "estimated_output_tokens": 3283,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 29 - 31.\n* City: Stuttgart, Duration: 4 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Warsaw, Duration: 5 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Edinburgh, Duration: 2 days.\n* City: Geneva, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Istanbul, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 4 - 8.\n* City: Mykonos, Fixed Schedule: Day 8 - 12.\n* City: Geneva, Fixed Schedule: Day 12 - 16.\n* City: Riga, Fixed Schedule: Day 21 - 25.\n* City: Split, Fixed Schedule: Day 29 - 31.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Stuttgart, Duration: 4 days.\n* City: Warsaw, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Istanbul, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Stuttgart, Warsaw, Edinburgh, Istanbul] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 8).\n |- The departure day of Dubrovnik is Day 3. The arrival day of Budapest is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Stuttgart, Warsaw, Edinburgh, Istanbul] and explore these options in order.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Dubrovnik to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Dubrovnik to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Dubrovnik to Edinburgh.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Dubrovnik to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Budapest (Day 4 - 8).\n   |- The departure day of Istanbul is Day 5. The arrival day of Budapest is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 4 - 8).\n |- The departure day of Stuttgart is Day 4. The arrival day of Budapest is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Budapest.\n   |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Stuttgart to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Mykonos (Day 8 - 12).\n   |- The departure day of Budapest is Day 8. The arrival day of Mykonos is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stuttgart, Budapest].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Mykonos.\n     |- Try arranging to visit Mykonos from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Budapest to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Geneva (Day 12 - 16).\n     |- The departure day of Mykonos is Day 12. The arrival day of Geneva is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Stuttgart, Budapest, Mykonos].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- Yes. The city with an arrival day of Day 12 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Mykonos to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 25).\n       |- The departure day of Geneva is Day 16. The arrival day of Riga is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Stuttgart, Budapest, Mykonos, Geneva].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Warsaw, Edinburgh, Istanbul] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n         |- Check for direct flight from Geneva to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Riga (Day 21 - 25).\n         |- The departure day of Dubrovnik is Day 18. The arrival day of Riga is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Warsaw, Edinburgh, Istanbul] and explore these options in order.\n           |- Try arranging to visit Warsaw from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Dubrovnik to Warsaw.\n           |- No. Drop this branch.\n           |- Try arranging to visit Edinburgh from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n           |- Check for direct flight from Dubrovnik to Edinburgh.\n           |- No. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Dubrovnik to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Riga (Day 21 - 25).\n           |- The departure day of Istanbul is Day 20. The arrival day of Riga is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik, Istanbul].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Warsaw, Edinburgh] and explore these options in order.\n             |- Try arranging to visit Warsaw from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Istanbul to Warsaw.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Riga (Day 21 - 25).\n             |- The departure day of Warsaw is Day 24. The arrival day of Riga is Day 21. Day 24 is later than (>) Day 21. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Edinburgh from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Istanbul to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Riga (Day 21 - 25).\n             |- The departure day of Edinburgh is Day 21. The arrival day of Riga is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik, Istanbul, Edinburgh].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Edinburgh to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Split (Day 29 - 31).\n               |- The departure day of Riga is Day 25. The arrival day of Split is Day 29. Day 25 is not later than (<=) Day 29. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik, Istanbul, Edinburgh, Riga].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                 |- Try arranging to visit Warsaw from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Riga to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Split (Day 29 - 31).\n                 |- The departure day of Warsaw is Day 29. The arrival day of Split is Day 29. Day 29 is not later than (<=) Day 29. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik, Istanbul, Edinburgh, Riga, Warsaw].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- Yes. The city with an arrival day of Day 29 - is fixed: Split.\n                   |- Try arranging to visit Split from Day 29. Duration: 3 days. Schedule: Day 29 - 31.\n                   |- Check for direct flight from Warsaw to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Stuttgart, Budapest, Mykonos, Geneva, Dubrovnik, Istanbul, Edinburgh, Riga, Warsaw, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Stuttgart and visit Stuttgart for 4 days.\n**Day 4:** Fly from Stuttgart to Budapest.\n**Day 4-8:** Visit Budapest for 5 days.\n**Day 8:** Fly from Budapest to Mykonos.\n**Day 8-12:** Visit Mykonos for 5 days.\n**Day 12:** Fly from Mykonos to Geneva.\n**Day 12-16:** Visit Geneva for 5 days.\n**Day 16:** Fly from Geneva to Dubrovnik.\n**Day 16-18:** Visit Dubrovnik for 3 days.\n**Day 18:** Fly from Dubrovnik to Istanbul.\n**Day 18-20:** Visit Istanbul for 3 days.\n**Day 20:** Fly from Istanbul to Edinburgh.\n**Day 20-21:** Visit Edinburgh for 2 days.\n**Day 21:** Fly from Edinburgh to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Warsaw.\n**Day 25-29:** Visit Warsaw for 5 days.\n**Day 29:** Fly from Warsaw to Split.\n**Day 29-31:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Santorini**Madrid**Prague**Tallinn**Brussels**Porto**Frankfurt**Paris**London",
    "ground_truth_durations": "3**3**5**5**3**4**2**5**3**3",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 25,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Brussels"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Brussels",
        "Paris"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Brussels"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Athens",
        "Madrid"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Prague",
        "London"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Paris",
        "London"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Brussels",
        "London"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Madrid",
        "Paris"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Prague"
      ],
      [
        "Athens",
        "Brussels"
      ],
      [
        "Athens",
        "London"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Brussels",
        "Porto"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Santorini",
        "Madrid"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You plan to visit relatives in London between day 25 and day 27. You want to spend 4 days in Brussels. You want to spend 3 days in Santorini. You are going to attend a wedding in Santorini between day 3 and day 5. You would like to visit Athens for 3 days. You plan to stay in Frankfurt for 5 days. From day 19 to day 23, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Prague. You have to attend a workshop in Prague between day 9 and day 13. You want to spend 3 days in Tallinn. You plan to stay in Porto for 2 days. You want to spend 5 days in Madrid. You would like to meet your friends at Madrid between day 5 and day 9 to tour together. You want to spend 3 days in Paris.\n\nHere are the cities that have direct flights:\nPrague and Tallinn, Tallinn and Brussels, Porto and Paris, Prague and Frankfurt, Athens and Paris, Prague and Paris, Brussels and Paris, Tallinn and Frankfurt, Madrid and Brussels, Santorini and London, Athens and Madrid, Athens and Santorini, Madrid and Porto, Prague and London, Athens and Frankfurt, Athens and Prague, Paris and London, Prague and Brussels, Brussels and London, Madrid and London, Frankfurt and London, Madrid and Paris, from Brussels to Frankfurt, Madrid and Frankfurt, Madrid and Prague, Athens and Brussels, Athens and London, Frankfurt and Paris, Brussels and Porto, Porto and Frankfurt, Tallinn and Paris, Santorini and Madrid.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You want to spend 3 days in London. You plan to visit relatives in London between day 25 and day 27. You want to spend 4 days in Brussels. You want to spend 3 days in Santorini. You are going to attend a wedding in Santorini between day 3 and day 5. You would like to visit Athens for 3 days. You plan to stay in Frankfurt for 5 days. From day 19 to day 23, there is a annual show you want to attend in Frankfurt. You want to spend 5 days in Prague. You have to attend a workshop in Prague between day 9 and day 13. You want to spend 3 days in Tallinn. You plan to stay in Porto for 2 days. You want to spend 5 days in Madrid. You would like to meet your friends at Madrid between day 5 and day 9 to tour together. You want to spend 3 days in Paris.\n\nHere are the cities that have direct flights:\nfrom Prague to Tallinn, from Tallinn to Brussels, from Porto to Paris, from Prague to Frankfurt, from Athens to Paris, from Prague to Paris, from Brussels to Paris, from Tallinn to Frankfurt, from Madrid to Brussels, from Santorini to London, from Athens to Madrid, from Athens to Santorini, from Madrid to Porto, from Prague to London, from Athens to Frankfurt, from Athens to Prague, from Paris to London, from Prague to Brussels, from Brussels to London, from Madrid to London, from Frankfurt to London, from Madrid to Paris, from Brussels to Frankfurt, from Madrid to Frankfurt, from Madrid to Prague, from Athens to Brussels, from Athens to London, from Frankfurt to Paris, from Brussels to Porto, from Porto to Frankfurt, from Tallinn to Paris, from Santorini to Madrid.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Santorini.\n**Day 3-5:** Visit Santorini for 3 days.\n**Day 5:** Fly from Santorini to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Prague.\n**Day 9-13:** Visit Prague for 5 days.\n**Day 13:** Fly from Prague to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n**Day 15:** Fly from Tallinn to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Porto.\n**Day 18-19:** Visit Porto for 2 days.\n**Day 19:** Fly from Porto to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Paris.\n**Day 23-25:** Visit Paris for 3 days.\n**Day 25:** Fly from Paris to London.\n**Day 25-27:** Visit London for 3 days.",
    "id": "trip_planning_example_1546",
    "estimated_output_tokens": 3788,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: London, Duration: 3 days, Fixed Schedule: Day 25 - 27.\n* City: Brussels, Duration: 4 days.\n* City: Santorini, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Athens, Duration: 3 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Tallinn, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Madrid, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Paris, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 3 - 5.\n* City: Madrid, Fixed Schedule: Day 5 - 9.\n* City: Prague, Fixed Schedule: Day 9 - 13.\n* City: Frankfurt, Fixed Schedule: Day 19 - 23.\n* City: London, Fixed Schedule: Day 25 - 27.\n\nCities needing arrangement:\n* City: Brussels, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Paris, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Brussels, Athens, Tallinn, Porto, Paris] and explore these options in order.\n |- Try arranging to visit Brussels from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 3 - 5).\n |- The departure day of Brussels is Day 4. The arrival day of Santorini is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 3 - 5).\n |- The departure day of Athens is Day 3. The arrival day of Santorini is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Santorini.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Athens to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Madrid (Day 5 - 9).\n   |- The departure day of Santorini is Day 5. The arrival day of Madrid is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Athens, Santorini].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Madrid.\n     |- Try arranging to visit Madrid from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Santorini to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 9 - 13).\n     |- The departure day of Madrid is Day 9. The arrival day of Prague is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Athens, Santorini, Madrid].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Madrid to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Frankfurt (Day 19 - 23).\n       |- The departure day of Prague is Day 13. The arrival day of Frankfurt is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Athens, Santorini, Madrid, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Tallinn, Porto, Paris] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Prague to Brussels.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 19 - 23).\n         |- The departure day of Brussels is Day 16. The arrival day of Frankfurt is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Athens, Santorini, Madrid, Prague, Brussels].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto, Paris] and explore these options in order.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Brussels to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Brussels to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 19 - 23).\n           |- The departure day of Porto is Day 17. The arrival day of Frankfurt is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Athens, Santorini, Madrid, Prague, Brussels, Porto].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Paris] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Porto to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Paris from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Porto to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Frankfurt (Day 19 - 23).\n             |- The departure day of Paris is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Athens, Santorini, Madrid, Prague, Brussels, Porto, Paris].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Paris to Frankfurt.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Paris from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Brussels to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 19 - 23).\n           |- The departure day of Paris is Day 18. The arrival day of Frankfurt is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Athens, Santorini, Madrid, Prague, Brussels, Paris].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Paris to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Paris to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Prague to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 19 - 23).\n         |- The departure day of Tallinn is Day 15. The arrival day of Frankfurt is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Porto, Paris] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Tallinn to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 19 - 23).\n           |- The departure day of Brussels is Day 18. The arrival day of Frankfurt is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn, Brussels].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Porto, Paris] and explore these options in order.\n             |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Brussels to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 19 - 23).\n             |- The departure day of Porto is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn, Brussels, Porto].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n               |- Try arranging to visit Frankfurt from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Porto to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: London (Day 25 - 27).\n               |- The departure day of Frankfurt is Day 23. The arrival day of London is Day 25. Day 23 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn, Brussels, Porto, Frankfurt].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n                 |- Try arranging to visit Paris from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                 |- Check for direct flight from Frankfurt to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: London (Day 25 - 27).\n                 |- The departure day of Paris is Day 25. The arrival day of London is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn, Brussels, Porto, Frankfurt, Paris].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: London.\n                   |- Try arranging to visit London from Day 25. Duration: 3 days. Schedule: Day 25 - 27.\n                   |- Check for direct flight from Paris to London.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Athens, Santorini, Madrid, Prague, Tallinn, Brussels, Porto, Frankfurt, Paris, London].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Santorini.\n**Day 3-5:** Visit Santorini for 3 days.\n**Day 5:** Fly from Santorini to Madrid.\n**Day 5-9:** Visit Madrid for 5 days.\n**Day 9:** Fly from Madrid to Prague.\n**Day 9-13:** Visit Prague for 5 days.\n**Day 13:** Fly from Prague to Tallinn.\n**Day 13-15:** Visit Tallinn for 3 days.\n**Day 15:** Fly from Tallinn to Brussels.\n**Day 15-18:** Visit Brussels for 4 days.\n**Day 18:** Fly from Brussels to Porto.\n**Day 18-19:** Visit Porto for 2 days.\n**Day 19:** Fly from Porto to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Paris.\n**Day 23-25:** Visit Paris for 3 days.\n**Day 25:** Fly from Paris to London.\n**Day 25-27:** Visit London for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Dubrovnik**Amsterdam**Santorini**Venice**Lyon**Lisbon**Milan**Mykonos**Geneva",
    "ground_truth_durations": "3**3**4**3**4**2**2**5**3**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 3,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 10,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Milan"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Milan",
        "Mykonos"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Munich",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Amsterdam",
        "Lisbon"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Mykonos",
        "Geneva"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Venice",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Geneva"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Amsterdam",
        "Lyon"
      ],
      [
        "Lyon",
        "Lisbon"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 3 days. You want to spend 4 days in Amsterdam. You want to spend 3 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 3 and day 5. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 21 and day 24. You want to spend 2 days in Lisbon. You have to attend a workshop in Lisbon between day 14 and day 15. You want to spend 3 days in Mykonos. You want to spend 3 days in Santorini. You plan to stay in Milan for 5 days. From day 15 to day 19, there is a annual show you want to attend in Milan. You would like to visit Lyon for 2 days. You want to spend 4 days in Venice. You are going to attend a wedding in Venice between day 10 and day 13.\n\nHere are the cities that have direct flights:\nMunich and Milan, Lisbon and Milan, Amsterdam and Milan, Milan and Mykonos, Munich and Venice, Munich and Lyon, Amsterdam and Venice, Dubrovnik and Geneva, Dubrovnik and Amsterdam, Munich and Mykonos, Santorini and Venice, Santorini and Milan, Amsterdam and Lisbon, Santorini and Geneva, Amsterdam and Geneva, Munich and Geneva, Mykonos and Geneva, Munich and Amsterdam, Munich and Dubrovnik, Amsterdam and Mykonos, Venice and Lisbon, Lisbon and Geneva, Munich and Lisbon, Amsterdam and Santorini, Venice and Lyon, Amsterdam and Lyon, Lyon and Lisbon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Munich for 3 days. You want to spend 4 days in Amsterdam. You want to spend 3 days in Dubrovnik. You want to meet a friend in Dubrovnik between day 3 and day 5. You plan to stay in Geneva for 4 days. You plan to visit relatives in Geneva between day 21 and day 24. You want to spend 2 days in Lisbon. You have to attend a workshop in Lisbon between day 14 and day 15. You want to spend 3 days in Mykonos. You want to spend 3 days in Santorini. You plan to stay in Milan for 5 days. From day 15 to day 19, there is a annual show you want to attend in Milan. You would like to visit Lyon for 2 days. You want to spend 4 days in Venice. You are going to attend a wedding in Venice between day 10 and day 13.\n\nHere are the cities that have direct flights:\nfrom Munich to Milan, from Lisbon to Milan, from Amsterdam to Milan, from Milan to Mykonos, from Munich to Venice, from Munich to Lyon, from Amsterdam to Venice, from Dubrovnik to Geneva, from Dubrovnik to Amsterdam, from Munich to Mykonos, from Santorini to Venice, from Santorini to Milan, from Amsterdam to Lisbon, from Santorini to Geneva, from Amsterdam to Geneva, from Munich to Geneva, from Mykonos to Geneva, from Munich to Amsterdam, from Munich to Dubrovnik, from Amsterdam to Mykonos, from Venice to Lisbon, from Lisbon to Geneva, from Munich to Lisbon, from Amsterdam to Santorini, from Venice to Lyon, from Amsterdam to Lyon, from Lyon to Lisbon.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in Munich and visit Munich for 3 days.\n**Day 3:** Fly from Munich to Dubrovnik.\n**Day 3-5:** Visit Dubrovnik for 3 days.\n**Day 5:** Fly from Dubrovnik to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Milan.\n**Day 15-19:** Visit Milan for 5 days.\n**Day 19:** Fly from Milan to Mykonos.\n**Day 19-21:** Visit Mykonos for 3 days.\n**Day 21:** Fly from Mykonos to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.",
    "id": "trip_planning_example_1547",
    "estimated_output_tokens": 2945,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 3 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 3 - 5.\n* City: Geneva, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Lisbon, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Mykonos, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Lyon, Duration: 2 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 3 - 5.\n* City: Venice, Fixed Schedule: Day 10 - 13.\n* City: Lisbon, Fixed Schedule: Day 14 - 15.\n* City: Milan, Fixed Schedule: Day 15 - 19.\n* City: Geneva, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Amsterdam, Duration: 4 days.\n* City: Mykonos, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Lyon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Amsterdam, Mykonos, Santorini, Lyon] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 3 - 5).\n |- The departure day of Munich is Day 3. The arrival day of Dubrovnik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Dubrovnik.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Munich to Dubrovnik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 10 - 13).\n   |- The departure day of Dubrovnik is Day 5. The arrival day of Venice is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Dubrovnik].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Mykonos, Santorini, Lyon] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Dubrovnik to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 10 - 13).\n     |- The departure day of Amsterdam is Day 8. The arrival day of Venice is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Dubrovnik, Amsterdam].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Santorini, Lyon] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 10 - 13).\n       |- The departure day of Mykonos is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Dubrovnik, Amsterdam, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Mykonos to Venice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Amsterdam to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 10 - 13).\n       |- The departure day of Santorini is Day 10. The arrival day of Venice is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Venice.\n         |- Try arranging to visit Venice from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Venice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lisbon (Day 14 - 15).\n         |- The departure day of Venice is Day 13. The arrival day of Lisbon is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Lyon] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Venice to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Venice to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lisbon (Day 14 - 15).\n           |- The departure day of Lyon is Day 14. The arrival day of Lisbon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice, Lyon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Lisbon.\n             |- Try arranging to visit Lisbon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Lyon to Lisbon.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Milan (Day 15 - 19).\n             |- The departure day of Lisbon is Day 15. The arrival day of Milan is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice, Lyon, Lisbon].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Milan.\n               |- Try arranging to visit Milan from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Lisbon to Milan.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Geneva (Day 21 - 24).\n               |- The departure day of Milan is Day 19. The arrival day of Geneva is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice, Lyon, Lisbon, Milan].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Milan to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Geneva (Day 21 - 24).\n                 |- The departure day of Mykonos is Day 21. The arrival day of Geneva is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice, Lyon, Lisbon, Milan, Mykonos].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Geneva.\n                   |- Try arranging to visit Geneva from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Mykonos to Geneva.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Munich, Dubrovnik, Amsterdam, Santorini, Venice, Lyon, Lisbon, Milan, Mykonos, Geneva].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Munich and visit Munich for 3 days.\n**Day 3:** Fly from Munich to Dubrovnik.\n**Day 3-5:** Visit Dubrovnik for 3 days.\n**Day 5:** Fly from Dubrovnik to Amsterdam.\n**Day 5-8:** Visit Amsterdam for 4 days.\n**Day 8:** Fly from Amsterdam to Santorini.\n**Day 8-10:** Visit Santorini for 3 days.\n**Day 10:** Fly from Santorini to Venice.\n**Day 10-13:** Visit Venice for 4 days.\n**Day 13:** Fly from Venice to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Lisbon.\n**Day 14-15:** Visit Lisbon for 2 days.\n**Day 15:** Fly from Lisbon to Milan.\n**Day 15-19:** Visit Milan for 5 days.\n**Day 19:** Fly from Milan to Mykonos.\n**Day 19-21:** Visit Mykonos for 3 days.\n**Day 21:** Fly from Mykonos to Geneva.\n**Day 21-24:** Visit Geneva for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Seville**Amsterdam**Porto**Zurich**Florence**Brussels**Helsinki**Naples**Santorini**Manchester",
    "ground_truth_durations": "5**5**3**5**4**3**3**3**3**4",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 26,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Brussels",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Naples"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Seville",
        "Amsterdam"
      ],
      [
        "Porto",
        "Manchester"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Zurich",
        "Santorini"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Porto",
        "Brussels"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Naples",
        "Manchester"
      ],
      [
        "Zurich",
        "Naples"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Santorini",
        "Manchester"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Helsinki",
        "Naples"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Helsinki",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Santorini"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. During day 5 and day 9, you have to attend a conference in Amsterdam. You plan to stay in Helsinki for 3 days. You want to spend 4 days in Manchester. You plan to visit relatives in Manchester between day 26 and day 29. You plan to stay in Brussels for 3 days. You plan to stay in Florence for 4 days. You are going to attend a wedding in Florence between day 15 and day 18. You want to spend 3 days in Santorini. You would like to visit Zurich for 5 days. You want to spend 5 days in Seville. You would like to visit Porto for 3 days. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nBrussels and Helsinki, Amsterdam and Naples, Amsterdam and Zurich, Seville and Amsterdam, Porto and Manchester, Zurich and Brussels, Seville and Manchester, Zurich and Santorini, Florence and Brussels, Porto and Brussels, Zurich and Manchester, Naples and Manchester, Zurich and Naples, Amsterdam and Florence, Brussels and Naples, Seville and Porto, Brussels and Manchester, Santorini and Manchester, Porto and Zurich, Helsinki and Naples, Naples and Santorini, Amsterdam and Manchester, Amsterdam and Helsinki, from Zurich to Florence, Helsinki and Manchester, Amsterdam and Santorini, Zurich and Helsinki, Seville and Brussels, Amsterdam and Porto.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 5 days. During day 5 and day 9, you have to attend a conference in Amsterdam. You plan to stay in Helsinki for 3 days. You want to spend 4 days in Manchester. You plan to visit relatives in Manchester between day 26 and day 29. You plan to stay in Brussels for 3 days. You plan to stay in Florence for 4 days. You are going to attend a wedding in Florence between day 15 and day 18. You want to spend 3 days in Santorini. You would like to visit Zurich for 5 days. You want to spend 5 days in Seville. You would like to visit Porto for 3 days. You would like to visit Naples for 3 days.\n\nHere are the cities that have direct flights:\nfrom Brussels to Helsinki, from Amsterdam to Naples, from Amsterdam to Zurich, from Seville to Amsterdam, from Porto to Manchester, from Zurich to Brussels, from Seville to Manchester, from Zurich to Santorini, from Florence to Brussels, from Porto to Brussels, from Zurich to Manchester, from Naples to Manchester, from Zurich to Naples, from Amsterdam to Florence, from Brussels to Naples, from Seville to Porto, from Brussels to Manchester, from Santorini to Manchester, from Porto to Zurich, from Helsinki to Naples, from Naples to Santorini, from Amsterdam to Manchester, from Amsterdam to Helsinki, from Zurich to Florence, from Helsinki to Manchester, from Amsterdam to Santorini, from Zurich to Helsinki, from Seville to Brussels, from Amsterdam to Porto.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Brussels.\n**Day 18-20:** Visit Brussels for 3 days.\n**Day 20:** Fly from Brussels to Helsinki.\n**Day 20-22:** Visit Helsinki for 3 days.\n**Day 22:** Fly from Helsinki to Naples.\n**Day 22-24:** Visit Naples for 3 days.\n**Day 24:** Fly from Naples to Santorini.\n**Day 24-26:** Visit Santorini for 3 days.\n**Day 26:** Fly from Santorini to Manchester.\n**Day 26-29:** Visit Manchester for 4 days.",
    "id": "trip_planning_example_1548",
    "estimated_output_tokens": 8743,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Helsinki, Duration: 3 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 26 - 29.\n* City: Brussels, Duration: 3 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Santorini, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 5 - 9.\n* City: Florence, Fixed Schedule: Day 15 - 18.\n* City: Manchester, Fixed Schedule: Day 26 - 29.\n\nCities needing arrangement:\n* City: Helsinki, Duration: 3 days.\n* City: Brussels, Duration: 3 days.\n* City: Santorini, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Seville, Duration: 5 days.\n* City: Porto, Duration: 3 days.\n* City: Naples, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Santorini, Zurich, Seville, Porto, Naples] and explore these options in order.\n |- Try arranging to visit Helsinki from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Helsinki.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Helsinki is Day 3. The arrival day of Amsterdam is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Helsinki].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Zurich, Seville, Porto, Naples] and explore these options in order.\n   |- Try arranging to visit Brussels from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Helsinki to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Helsinki to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 9).\n   |- The departure day of Naples is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Helsinki, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Naples to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Brussels is Day 3. The arrival day of Amsterdam is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Zurich, Seville, Porto, Naples] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Helsinki.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 9).\n   |- The departure day of Helsinki is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Helsinki].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Helsinki to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Brussels to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Amsterdam (Day 5 - 9).\n   |- The departure day of Naples is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Brussels, Naples].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Naples to Amsterdam.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Santorini is Day 3. The arrival day of Amsterdam is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Zurich, Seville, Porto, Naples] and explore these options in order.\n   |- Try arranging to visit Helsinki from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Helsinki.\n   |- No. Drop this branch.\n   |- Try arranging to visit Brussels from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Brussels.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Seville from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Santorini to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Santorini to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Zurich is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Zurich to Amsterdam.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Seville from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Seville.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 5 - 9).\n |- The departure day of Seville is Day 5. The arrival day of Amsterdam is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Seville].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Seville to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 15 - 18).\n   |- The departure day of Amsterdam is Day 9. The arrival day of Florence is Day 15. Day 9 is not later than (<=) Day 15. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Seville, Amsterdam].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Santorini, Zurich, Porto, Naples] and explore these options in order.\n     |- Try arranging to visit Helsinki from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Helsinki.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 15 - 18).\n     |- The departure day of Helsinki is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Amsterdam, Helsinki].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Zurich, Porto, Naples] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Helsinki to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Helsinki to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Naples is Day 13. The arrival day of Florence is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Amsterdam, Helsinki, Naples].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Brussels, Santorini, Zurich, Porto] and explore these options in order.\n         |- Try arranging to visit Brussels from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Brussels.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n         |- The departure day of Santorini is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Amsterdam, Helsinki, Naples, Santorini].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Santorini to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Naples to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Naples to Porto.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Brussels from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Brussels.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 15 - 18).\n     |- The departure day of Santorini is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Amsterdam, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Zurich, Porto, Naples] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Brussels.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Santorini to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Santorini to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Amsterdam to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 15 - 18).\n     |- The departure day of Zurich is Day 13. The arrival day of Florence is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Seville, Amsterdam, Zurich].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Santorini, Porto, Naples] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Zurich to Helsinki.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n       |- The departure day of Helsinki is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Amsterdam, Zurich, Helsinki].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Helsinki to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Brussels from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Zurich to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n       |- The departure day of Brussels is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Amsterdam, Zurich, Brussels].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Brussels to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Zurich to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n       |- The departure day of Santorini is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Amsterdam, Zurich, Santorini].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Santorini to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Zurich to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n       |- Check for direct flight from Zurich to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n       |- The departure day of Naples is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Amsterdam, Zurich, Naples].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Naples to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Amsterdam to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 15 - 18).\n     |- The departure day of Porto is Day 11. The arrival day of Florence is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Seville, Amsterdam, Porto].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Santorini, Zurich, Naples] and explore these options in order.\n       |- Try arranging to visit Helsinki from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Porto to Helsinki.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Porto to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Brussels is Day 13. The arrival day of Florence is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Seville, Amsterdam, Porto, Brussels].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Zurich, Naples] and explore these options in order.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n         |- The departure day of Helsinki is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Amsterdam, Porto, Brussels, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Brussels to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Brussels to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Florence (Day 15 - 18).\n         |- The departure day of Naples is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Seville, Amsterdam, Porto, Brussels, Naples].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n           |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Naples to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Porto to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Porto to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 15 - 18).\n       |- The departure day of Zurich is Day 15. The arrival day of Florence is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Seville, Amsterdam, Porto, Zurich].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Florence.\n         |- Try arranging to visit Florence from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Manchester (Day 26 - 29).\n         |- The departure day of Florence is Day 18. The arrival day of Manchester is Day 26. Day 18 is not later than (<=) Day 26. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Helsinki, Brussels, Santorini, Naples] and explore these options in order.\n           |- Try arranging to visit Helsinki from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Florence to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Brussels from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Florence to Brussels.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 26 - 29).\n           |- The departure day of Brussels is Day 20. The arrival day of Manchester is Day 26. Day 20 is not later than (<=) Day 26. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence, Brussels].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Helsinki, Santorini, Naples] and explore these options in order.\n             |- Try arranging to visit Helsinki from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n             |- Check for direct flight from Brussels to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Manchester (Day 26 - 29).\n             |- The departure day of Helsinki is Day 22. The arrival day of Manchester is Day 26. Day 22 is not later than (<=) Day 26. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence, Brussels, Helsinki].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini, Naples] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Helsinki to Santorini.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 22. Duration: 3 days. Schedule: Day 22 - 24.\n               |- Check for direct flight from Helsinki to Naples.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Manchester (Day 26 - 29).\n               |- The departure day of Naples is Day 24. The arrival day of Manchester is Day 26. Day 24 is not later than (<=) Day 26. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence, Brussels, Helsinki, Naples].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Naples to Santorini.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Manchester (Day 26 - 29).\n                 |- The departure day of Santorini is Day 26. The arrival day of Manchester is Day 26. Day 26 is not later than (<=) Day 26. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence, Brussels, Helsinki, Naples, Santorini].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- Yes. The city with an arrival day of Day 26 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                   |- Check for direct flight from Santorini to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Seville, Amsterdam, Porto, Zurich, Florence, Brussels, Helsinki, Naples, Santorini, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Seville and visit Seville for 5 days.\n**Day 5:** Fly from Seville to Amsterdam.\n**Day 5-9:** Visit Amsterdam for 5 days.\n**Day 9:** Fly from Amsterdam to Porto.\n**Day 9-11:** Visit Porto for 3 days.\n**Day 11:** Fly from Porto to Zurich.\n**Day 11-15:** Visit Zurich for 5 days.\n**Day 15:** Fly from Zurich to Florence.\n**Day 15-18:** Visit Florence for 4 days.\n**Day 18:** Fly from Florence to Brussels.\n**Day 18-20:** Visit Brussels for 3 days.\n**Day 20:** Fly from Brussels to Helsinki.\n**Day 20-22:** Visit Helsinki for 3 days.\n**Day 22:** Fly from Helsinki to Naples.\n**Day 22-24:** Visit Naples for 3 days.\n**Day 24:** Fly from Naples to Santorini.\n**Day 24-26:** Visit Santorini for 3 days.\n**Day 26:** Fly from Santorini to Manchester.\n**Day 26-29:** Visit Manchester for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lisbon**Riga**Stockholm**Santorini**Naples**Warsaw**Tallinn**Prague**Milan**Porto",
    "ground_truth_durations": "5**4**2**5**5**2**3**5**3**3",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 24,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Prague"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Lisbon",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Warsaw"
      ],
      [
        "Naples",
        "Milan"
      ],
      [
        "Lisbon",
        "Naples"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Prague"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Lisbon",
        "Porto"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Prague",
        "Milan"
      ],
      [
        "Lisbon",
        "Milan"
      ],
      [
        "Warsaw",
        "Porto"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Santorini",
        "Milan"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Milan"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Warsaw",
        "Prague"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. You would like to visit Tallinn for 3 days. You plan to visit relatives in Tallinn between day 18 and day 20. You plan to stay in Warsaw for 2 days. You want to spend 3 days in Porto. You plan to stay in Naples for 5 days. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 24 and day 26. You would like to visit Lisbon for 5 days. You plan to stay in Santorini for 5 days. You plan to stay in Riga for 4 days. From day 5 to day 8, there is a annual show you want to attend in Riga. You would like to visit Stockholm for 2 days.\n\nHere are the cities that have direct flights:\nRiga and Prague, Stockholm and Milan, Riga and Milan, Lisbon and Stockholm, from Stockholm to Santorini, Naples and Warsaw, Lisbon and Warsaw, Naples and Milan, Lisbon and Naples, from Riga to Tallinn, Tallinn and Prague, Stockholm and Warsaw, Riga and Warsaw, Lisbon and Riga, Riga and Stockholm, Lisbon and Porto, Lisbon and Prague, Milan and Porto, Prague and Milan, Lisbon and Milan, Warsaw and Porto, Warsaw and Tallinn, Santorini and Milan, Stockholm and Prague, Stockholm and Tallinn, Warsaw and Milan, Santorini and Naples, Warsaw and Prague.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. You would like to visit Tallinn for 3 days. You plan to visit relatives in Tallinn between day 18 and day 20. You plan to stay in Warsaw for 2 days. You want to spend 3 days in Porto. You plan to stay in Naples for 5 days. You plan to stay in Milan for 3 days. You want to meet a friend in Milan between day 24 and day 26. You would like to visit Lisbon for 5 days. You plan to stay in Santorini for 5 days. You plan to stay in Riga for 4 days. From day 5 to day 8, there is a annual show you want to attend in Riga. You would like to visit Stockholm for 2 days.\n\nHere are the cities that have direct flights:\nfrom Riga to Prague, from Stockholm to Milan, from Riga to Milan, from Lisbon to Stockholm, from Stockholm to Santorini, from Naples to Warsaw, from Lisbon to Warsaw, from Naples to Milan, from Lisbon to Naples, from Riga to Tallinn, from Tallinn to Prague, from Stockholm to Warsaw, from Riga to Warsaw, from Lisbon to Riga, from Riga to Stockholm, from Lisbon to Porto, from Lisbon to Prague, from Milan to Porto, from Prague to Milan, from Lisbon to Milan, from Warsaw to Porto, from Warsaw to Tallinn, from Santorini to Milan, from Stockholm to Prague, from Stockholm to Tallinn, from Warsaw to Milan, from Santorini to Naples, from Warsaw to Prague.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Warsaw.\n**Day 17-18:** Visit Warsaw for 2 days.\n**Day 18:** Fly from Warsaw to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.\n**Day 20:** Fly from Tallinn to Prague.\n**Day 20-24:** Visit Prague for 5 days.\n**Day 24:** Fly from Prague to Milan.\n**Day 24-26:** Visit Milan for 3 days.\n**Day 26:** Fly from Milan to Porto.\n**Day 26-28:** Visit Porto for 3 days.",
    "id": "trip_planning_example_1549",
    "estimated_output_tokens": 8050,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Warsaw, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 24 - 26.\n* City: Lisbon, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Riga, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Stockholm, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 5 - 8.\n* City: Tallinn, Fixed Schedule: Day 18 - 20.\n* City: Milan, Fixed Schedule: Day 24 - 26.\n\nCities needing arrangement:\n* City: Prague, Duration: 5 days.\n* City: Warsaw, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Lisbon, Duration: 5 days.\n* City: Santorini, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Warsaw, Porto, Naples, Lisbon, Santorini, Stockholm] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of Prague is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Prague to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of Warsaw is Day 2. The arrival day of Riga is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Porto, Naples, Lisbon, Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Prague from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 5 - 8).\n   |- The departure day of Prague is Day 6. The arrival day of Riga is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Warsaw to Porto.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Riga (Day 5 - 8).\n   |- The departure day of Porto is Day 4. The arrival day of Riga is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Warsaw, Porto].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Naples, Lisbon, Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Prague from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Lisbon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Porto to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Porto to Stockholm.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Warsaw to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of Porto is Day 3. The arrival day of Riga is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Prague, Warsaw, Naples, Lisbon, Santorini, Stockholm] and explore these options in order.\n   |- Try arranging to visit Prague from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Porto to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of Naples is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Naples to Riga.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lisbon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lisbon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Riga (Day 5 - 8).\n |- The departure day of Lisbon is Day 5. The arrival day of Riga is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lisbon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Riga.\n   |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Lisbon to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 18 - 20).\n   |- The departure day of Riga is Day 8. The arrival day of Tallinn is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Lisbon, Riga].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Warsaw, Porto, Naples, Santorini, Stockholm] and explore these options in order.\n     |- Try arranging to visit Prague from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Riga to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 20).\n     |- The departure day of Prague is Day 12. The arrival day of Tallinn is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 12. Current plan: [Lisbon, Riga, Prague].\n      |- Check whether the city with an arrival day of Day 12 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Warsaw, Porto, Naples, Santorini, Stockholm] and explore these options in order.\n       |- Try arranging to visit Warsaw from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Warsaw.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n       |- Check for direct flight from Prague to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Prague to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n       |- Check for direct flight from Prague to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n       |- Check for direct flight from Prague to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Riga to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 20).\n     |- The departure day of Warsaw is Day 9. The arrival day of Tallinn is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Riga, Warsaw].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Porto, Naples, Santorini, Stockholm] and explore these options in order.\n       |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 20).\n       |- The departure day of Prague is Day 13. The arrival day of Tallinn is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Riga, Warsaw, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Porto, Naples, Santorini, Stockholm] and explore these options in order.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Prague to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Prague to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Warsaw to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 20).\n       |- The departure day of Porto is Day 11. The arrival day of Tallinn is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Lisbon, Riga, Warsaw, Porto].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Naples, Santorini, Stockholm] and explore these options in order.\n         |- Try arranging to visit Prague from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Porto to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stockholm from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Porto to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Warsaw to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Warsaw to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Porto from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Riga to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Riga to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Riga to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Riga to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 20).\n     |- The departure day of Stockholm is Day 9. The arrival day of Tallinn is Day 18. Day 9 is not later than (<=) Day 18. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lisbon, Riga, Stockholm].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Prague, Warsaw, Porto, Naples, Santorini] and explore these options in order.\n       |- Try arranging to visit Prague from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Stockholm to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 20).\n       |- The departure day of Prague is Day 13. The arrival day of Tallinn is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Riga, Stockholm, Prague].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Warsaw, Porto, Naples, Santorini] and explore these options in order.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Prague to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Prague to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Prague to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Warsaw from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Stockholm to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 20).\n       |- The departure day of Warsaw is Day 10. The arrival day of Tallinn is Day 18. Day 10 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lisbon, Riga, Stockholm, Warsaw].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Porto, Naples, Santorini] and explore these options in order.\n         |- Try arranging to visit Prague from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Warsaw to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 18 - 20).\n         |- The departure day of Prague is Day 14. The arrival day of Tallinn is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Lisbon, Riga, Stockholm, Warsaw, Prague].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Porto, Naples, Santorini] and explore these options in order.\n           |- Try arranging to visit Porto from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Prague to Porto.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Prague to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Prague to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Porto from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Warsaw to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 18 - 20).\n         |- The departure day of Porto is Day 12. The arrival day of Tallinn is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lisbon, Riga, Stockholm, Warsaw, Porto].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Naples, Santorini] and explore these options in order.\n           |- Try arranging to visit Prague from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Porto to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Naples from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Porto to Naples.\n           |- No. Drop this branch.\n           |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Porto to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Warsaw to Naples.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Warsaw to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Porto from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Stockholm to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Stockholm to Naples.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Stockholm to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 18 - 20).\n       |- The departure day of Santorini is Day 13. The arrival day of Tallinn is Day 18. Day 13 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Lisbon, Riga, Stockholm, Santorini].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Prague, Warsaw, Porto, Naples] and explore these options in order.\n         |- Try arranging to visit Prague from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Santorini to Prague.\n         |- No. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Santorini to Warsaw.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Santorini to Porto.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Santorini to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 18 - 20).\n         |- The departure day of Naples is Day 17. The arrival day of Tallinn is Day 18. Day 17 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Warsaw, Porto] and explore these options in order.\n           |- Try arranging to visit Prague from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Naples to Prague.\n           |- No. Drop this branch.\n           |- Try arranging to visit Warsaw from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n           |- Check for direct flight from Naples to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Tallinn (Day 18 - 20).\n           |- The departure day of Warsaw is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples, Warsaw].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Warsaw to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Milan (Day 24 - 26).\n             |- The departure day of Tallinn is Day 20. The arrival day of Milan is Day 24. Day 20 is not later than (<=) Day 24. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples, Warsaw, Tallinn].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague, Porto] and explore these options in order.\n               |- Try arranging to visit Prague from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Tallinn to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Milan (Day 24 - 26).\n               |- The departure day of Prague is Day 24. The arrival day of Milan is Day 24. Day 24 is not later than (<=) Day 24. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples, Warsaw, Tallinn, Prague].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- Yes. The city with an arrival day of Day 24 - is fixed: Milan.\n                 |- Try arranging to visit Milan from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                 |- Check for direct flight from Prague to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples, Warsaw, Tallinn, Prague, Milan].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                   |- Try arranging to visit Porto from Day 26. Duration: 3 days. Schedule: Day 26 - 28.\n                   |- Check for direct flight from Milan to Porto.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Lisbon, Riga, Stockholm, Santorini, Naples, Warsaw, Tallinn, Prague, Milan, Porto].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lisbon and visit Lisbon for 5 days.\n**Day 5:** Fly from Lisbon to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Santorini.\n**Day 9-13:** Visit Santorini for 5 days.\n**Day 13:** Fly from Santorini to Naples.\n**Day 13-17:** Visit Naples for 5 days.\n**Day 17:** Fly from Naples to Warsaw.\n**Day 17-18:** Visit Warsaw for 2 days.\n**Day 18:** Fly from Warsaw to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.\n**Day 20:** Fly from Tallinn to Prague.\n**Day 20-24:** Visit Prague for 5 days.\n**Day 24:** Fly from Prague to Milan.\n**Day 24-26:** Visit Milan for 3 days.\n**Day 26:** Fly from Milan to Porto.\n**Day 26-28:** Visit Porto for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Munich**Dubrovnik**Geneva**Split**Hamburg**Venice**Santorini**Amsterdam**Tallinn",
    "ground_truth_durations": "3**3**3**5**4**4**3**2**2**5",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 21,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Munich",
        "Tallinn"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Munich",
        "Geneva"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Munich"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Amsterdam"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. You would like to visit Amsterdam for 2 days. You would like to visit Venice for 3 days. From day 17 to day 19, there is a annual show you want to attend in Venice. You want to spend 4 days in Hamburg. You want to spend 4 days in Split. You want to spend 3 days in Dubrovnik. You want to spend 5 days in Geneva. You plan to stay in Munich for 3 days. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 19 and day 20. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 21 and day 25.\n\nHere are the cities that have direct flights:\nReykjavik and Amsterdam, Dubrovnik and Amsterdam, Geneva and Santorini, Munich and Dubrovnik, Munich and Tallinn, Venice and Santorini, Dubrovnik and Geneva, Santorini and Amsterdam, Munich and Split, Geneva and Amsterdam, Amsterdam and Tallinn, Split and Amsterdam, Munich and Geneva, Munich and Amsterdam, Reykjavik and Munich, Munich and Hamburg, Hamburg and Amsterdam, Venice and Amsterdam, Munich and Venice, from Hamburg to Geneva, Geneva and Split, Split and Hamburg, Hamburg and Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Reykjavik. You would like to visit Amsterdam for 2 days. You would like to visit Venice for 3 days. From day 17 to day 19, there is a annual show you want to attend in Venice. You want to spend 4 days in Hamburg. You want to spend 4 days in Split. You want to spend 3 days in Dubrovnik. You want to spend 5 days in Geneva. You plan to stay in Munich for 3 days. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 19 and day 20. You want to spend 5 days in Tallinn. You are going to attend a wedding in Tallinn between day 21 and day 25.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Amsterdam, from Dubrovnik to Amsterdam, from Geneva to Santorini, from Munich to Dubrovnik, from Munich to Tallinn, from Venice to Santorini, from Dubrovnik to Geneva, from Santorini to Amsterdam, from Munich to Split, from Geneva to Amsterdam, from Amsterdam to Tallinn, from Split to Amsterdam, from Munich to Geneva, from Munich to Amsterdam, from Reykjavik to Munich, from Munich to Hamburg, from Hamburg to Amsterdam, from Venice to Amsterdam, from Munich to Venice, from Hamburg to Geneva, from Geneva to Split, from Split to Hamburg, from Hamburg to Venice.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Geneva.\n**Day 7-11:** Visit Geneva for 5 days.\n**Day 11:** Fly from Geneva to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.\n**Day 17:** Fly from Hamburg to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Amsterdam.\n**Day 20-21:** Visit Amsterdam for 2 days.\n**Day 21:** Fly from Amsterdam to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1550",
    "estimated_output_tokens": 8354,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Venice, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Hamburg, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 17 - 19.\n* City: Santorini, Fixed Schedule: Day 19 - 20.\n* City: Tallinn, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 3 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Hamburg, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Geneva, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Amsterdam, Hamburg, Split, Dubrovnik, Geneva, Munich] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Venice (Day 17 - 19).\n |- The departure day of Reykjavik is Day 3. The arrival day of Venice is Day 17. Day 3 is not later than (<=) Day 17. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Split, Dubrovnik, Geneva, Munich] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 17 - 19).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Venice is Day 17. Day 4 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Reykjavik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Split, Dubrovnik, Geneva, Munich] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Split from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Split.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Amsterdam to Geneva.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Hamburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Split from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Reykjavik to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Reykjavik to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Venice (Day 17 - 19).\n   |- The departure day of Munich is Day 5. The arrival day of Venice is Day 17. Day 5 is not later than (<=) Day 17. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Reykjavik, Munich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Split, Dubrovnik, Geneva] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Munich to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 17 - 19).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Venice is Day 17. Day 6 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Reykjavik, Munich, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Split, Dubrovnik, Geneva] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Amsterdam to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 17 - 19).\n     |- The departure day of Hamburg is Day 8. The arrival day of Venice is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Munich, Hamburg].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split, Dubrovnik, Geneva] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Hamburg to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 17 - 19).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Venice is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Munich, Hamburg, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik, Geneva] and explore these options in order.\n         |- Try arranging to visit Split from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Amsterdam to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Amsterdam to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Hamburg to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Hamburg to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Hamburg to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 17 - 19).\n       |- The departure day of Geneva is Day 12. The arrival day of Venice is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Reykjavik, Munich, Hamburg, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Split, Dubrovnik] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Geneva to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 17 - 19).\n         |- The departure day of Amsterdam is Day 13. The arrival day of Venice is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Reykjavik, Munich, Hamburg, Geneva, Amsterdam].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Amsterdam to Split.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Amsterdam to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Geneva to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 17 - 19).\n         |- The departure day of Split is Day 15. The arrival day of Venice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Munich, Hamburg, Geneva, Split].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Split to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Venice (Day 17 - 19).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Venice is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Munich, Hamburg, Geneva, Split, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Split to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Geneva to Dubrovnik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Munich to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 17 - 19).\n     |- The departure day of Split is Day 8. The arrival day of Venice is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Reykjavik, Munich, Split].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Dubrovnik, Geneva] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Split to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 17 - 19).\n       |- The departure day of Amsterdam is Day 9. The arrival day of Venice is Day 17. Day 9 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Reykjavik, Munich, Split, Amsterdam].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Dubrovnik, Geneva] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Amsterdam to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Amsterdam to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Amsterdam to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Split to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Venice (Day 17 - 19).\n       |- The departure day of Hamburg is Day 11. The arrival day of Venice is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Munich, Split, Hamburg].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik, Geneva] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Hamburg to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 17 - 19).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Venice is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Reykjavik, Munich, Split, Hamburg, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Amsterdam to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Amsterdam to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Dubrovnik from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Hamburg to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Hamburg to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 17 - 19).\n         |- The departure day of Geneva is Day 15. The arrival day of Venice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Reykjavik, Munich, Split, Hamburg, Geneva].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Geneva to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Venice (Day 17 - 19).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Venice is Day 17. Day 16 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Reykjavik, Munich, Split, Hamburg, Geneva, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Amsterdam to Dubrovnik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Geneva to Dubrovnik.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Split to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Split to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 17 - 19).\n     |- The departure day of Dubrovnik is Day 7. The arrival day of Venice is Day 17. Day 7 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Reykjavik, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Split, Geneva] and explore these options in order.\n       |- Try arranging to visit Amsterdam from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Dubrovnik to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 17 - 19).\n       |- The departure day of Amsterdam is Day 8. The arrival day of Venice is Day 17. Day 8 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Reykjavik, Munich, Dubrovnik, Amsterdam].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Split, Geneva] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Amsterdam to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Amsterdam to Split.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Amsterdam to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Hamburg from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Split from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Dubrovnik to Split.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Dubrovnik to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Venice (Day 17 - 19).\n       |- The departure day of Geneva is Day 11. The arrival day of Venice is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg, Split] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Geneva to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 17 - 19).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Venice is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Split] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Amsterdam to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Hamburg from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Split from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Venice (Day 17 - 19).\n         |- The departure day of Split is Day 14. The arrival day of Venice is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Amsterdam, Hamburg] and explore these options in order.\n           |- Try arranging to visit Amsterdam from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Split to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Venice (Day 17 - 19).\n           |- The departure day of Amsterdam is Day 15. The arrival day of Venice is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Amsterdam].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Amsterdam to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Split to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Venice (Day 17 - 19).\n           |- The departure day of Hamburg is Day 17. The arrival day of Venice is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Hamburg].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Hamburg to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Santorini (Day 19 - 20).\n             |- The departure day of Venice is Day 19. The arrival day of Santorini is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Hamburg, Venice].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Santorini.\n               |- Try arranging to visit Santorini from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Venice to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Tallinn (Day 21 - 25).\n               |- The departure day of Santorini is Day 20. The arrival day of Tallinn is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Hamburg, Venice, Santorini].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n                 |- Try arranging to visit Amsterdam from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Santorini to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Tallinn (Day 21 - 25).\n                 |- The departure day of Amsterdam is Day 21. The arrival day of Tallinn is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Hamburg, Venice, Santorini, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                   |- Check for direct flight from Amsterdam to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Reykjavik, Munich, Dubrovnik, Geneva, Split, Hamburg, Venice, Santorini, Amsterdam, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Munich.\n**Day 3-5:** Visit Munich for 3 days.\n**Day 5:** Fly from Munich to Dubrovnik.\n**Day 5-7:** Visit Dubrovnik for 3 days.\n**Day 7:** Fly from Dubrovnik to Geneva.\n**Day 7-11:** Visit Geneva for 5 days.\n**Day 11:** Fly from Geneva to Split.\n**Day 11-14:** Visit Split for 4 days.\n**Day 14:** Fly from Split to Hamburg.\n**Day 14-17:** Visit Hamburg for 4 days.\n**Day 17:** Fly from Hamburg to Venice.\n**Day 17-19:** Visit Venice for 3 days.\n**Day 19:** Fly from Venice to Santorini.\n**Day 19-20:** Visit Santorini for 2 days.\n**Day 20:** Fly from Santorini to Amsterdam.\n**Day 20-21:** Visit Amsterdam for 2 days.\n**Day 21:** Fly from Amsterdam to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vilnius**Milan**Santorini**Naples**Stuttgart**Porto**Valencia**Bucharest**Paris**Tallinn",
    "ground_truth_durations": "2**3**5**5**5**2**3**3**4**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Porto",
        "Paris"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Stuttgart",
        "Porto"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Naples",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 2 days. You want to spend 4 days in Paris. You would like to visit Milan for 3 days. You would like to visit Naples for 5 days. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 4 and day 8. You want to spend 5 days in Tallinn. You would like to visit Valencia for 3 days. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 19 and day 21 to tour together. You want to spend 5 days in Stuttgart. During day 12 and day 16, you have to attend a conference in Stuttgart. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nStuttgart and Valencia, Stuttgart and Paris, Vilnius and Milan, Santorini and Bucharest, Milan and Valencia, Naples and Bucharest, Porto and Paris, Valencia and Bucharest, Porto and Valencia, Milan and Santorini, Milan and Naples, Santorini and Naples, Paris and Tallinn, Milan and Paris, Vilnius and Paris, Milan and Stuttgart, Naples and Paris, from Tallinn to Vilnius, Naples and Valencia, Bucharest and Paris, Valencia and Paris, Stuttgart and Porto, Milan and Porto, Naples and Stuttgart.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Vilnius for 2 days. You want to spend 4 days in Paris. You would like to visit Milan for 3 days. You would like to visit Naples for 5 days. You plan to stay in Santorini for 5 days. You have to attend a workshop in Santorini between day 4 and day 8. You want to spend 5 days in Tallinn. You would like to visit Valencia for 3 days. You want to spend 3 days in Bucharest. You would like to meet your friends at Bucharest between day 19 and day 21 to tour together. You want to spend 5 days in Stuttgart. During day 12 and day 16, you have to attend a conference in Stuttgart. You would like to visit Porto for 2 days.\n\nHere are the cities that have direct flights:\nfrom Stuttgart to Valencia, from Stuttgart to Paris, from Vilnius to Milan, from Santorini to Bucharest, from Milan to Valencia, from Naples to Bucharest, from Porto to Paris, from Valencia to Bucharest, from Porto to Valencia, from Milan to Santorini, from Milan to Naples, from Santorini to Naples, from Paris to Tallinn, from Milan to Paris, from Vilnius to Paris, from Milan to Stuttgart, from Naples to Paris, from Tallinn to Vilnius, from Naples to Valencia, from Bucharest to Paris, from Valencia to Paris, from Stuttgart to Porto, from Milan to Porto, from Naples to Stuttgart.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n**Day 16:** Fly from Stuttgart to Porto.\n**Day 16-17:** Visit Porto for 2 days.\n**Day 17:** Fly from Porto to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Bucharest.\n**Day 19-21:** Visit Bucharest for 3 days.\n**Day 21:** Fly from Bucharest to Paris.\n**Day 21-24:** Visit Paris for 4 days.\n**Day 24:** Fly from Paris to Tallinn.\n**Day 24-28:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1551",
    "estimated_output_tokens": 3622,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Tallinn, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Porto, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 4 - 8.\n* City: Stuttgart, Fixed Schedule: Day 12 - 16.\n* City: Bucharest, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 2 days.\n* City: Paris, Duration: 4 days.\n* City: Milan, Duration: 3 days.\n* City: Naples, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Vilnius, Paris, Milan, Naples, Tallinn, Valencia, Porto] and explore these options in order.\n |- Try arranging to visit Vilnius from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Vilnius is Day 2. The arrival day of Santorini is Day 4. Day 2 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Milan, Naples, Tallinn, Valencia, Porto] and explore these options in order.\n   |- Try arranging to visit Paris from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Vilnius to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 4 - 8).\n   |- The departure day of Paris is Day 5. The arrival day of Santorini is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Vilnius to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 4 - 8).\n   |- The departure day of Milan is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Vilnius, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stuttgart (Day 12 - 16).\n     |- The departure day of Santorini is Day 8. The arrival day of Stuttgart is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Vilnius, Milan, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Naples, Tallinn, Valencia, Porto] and explore these options in order.\n       |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Santorini to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Santorini to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stuttgart (Day 12 - 16).\n       |- The departure day of Naples is Day 12. The arrival day of Stuttgart is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Vilnius, Milan, Santorini, Naples].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Stuttgart.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Naples to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Bucharest (Day 19 - 21).\n         |- The departure day of Stuttgart is Day 16. The arrival day of Bucharest is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Paris, Tallinn, Valencia, Porto] and explore these options in order.\n           |- Try arranging to visit Paris from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Stuttgart to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 19 - 21).\n           |- The departure day of Paris is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Paris].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n             |- Check for direct flight from Paris to Bucharest.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Stuttgart to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Stuttgart to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 19 - 21).\n           |- The departure day of Valencia is Day 18. The arrival day of Bucharest is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Valencia].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Paris, Tallinn, Porto] and explore these options in order.\n             |- Try arranging to visit Paris from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Valencia to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 19 - 21).\n             |- The departure day of Paris is Day 21. The arrival day of Bucharest is Day 19. Day 21 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Valencia to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Valencia to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Stuttgart to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Bucharest (Day 19 - 21).\n           |- The departure day of Porto is Day 17. The arrival day of Bucharest is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Porto].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Paris, Tallinn, Valencia] and explore these options in order.\n             |- Try arranging to visit Paris from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Porto to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 19 - 21).\n             |- The departure day of Paris is Day 20. The arrival day of Bucharest is Day 19. Day 20 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Porto to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Valencia from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Porto to Valencia.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Bucharest (Day 19 - 21).\n             |- The departure day of Valencia is Day 19. The arrival day of Bucharest is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Porto, Valencia].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Valencia to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Porto, Valencia, Bucharest].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Paris, Tallinn] and explore these options in order.\n                 |- Try arranging to visit Paris from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Bucharest to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Porto, Valencia, Bucharest, Paris].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Paris to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Vilnius, Milan, Santorini, Naples, Stuttgart, Porto, Valencia, Bucharest, Paris, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Vilnius and visit Vilnius for 2 days.\n**Day 2:** Fly from Vilnius to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Naples.\n**Day 8-12:** Visit Naples for 5 days.\n**Day 12:** Fly from Naples to Stuttgart.\n**Day 12-16:** Visit Stuttgart for 5 days.\n**Day 16:** Fly from Stuttgart to Porto.\n**Day 16-17:** Visit Porto for 2 days.\n**Day 17:** Fly from Porto to Valencia.\n**Day 17-19:** Visit Valencia for 3 days.\n**Day 19:** Fly from Valencia to Bucharest.\n**Day 19-21:** Visit Bucharest for 3 days.\n**Day 21:** Fly from Bucharest to Paris.\n**Day 21-24:** Visit Paris for 4 days.\n**Day 24:** Fly from Paris to Tallinn.\n**Day 24-28:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Istanbul**Tallinn**Vilnius**Athens**Oslo**Venice**Stuttgart**Paris**Florence",
    "ground_truth_durations": "5**4**4**3**5**3**4**4**5**3",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 19,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Rome",
        "Paris"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Istanbul",
        "Athens"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Vilnius",
        "Athens"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Paris",
        "Florence"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Athens",
        "Venice"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Vilnius",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. You plan to stay in Tallinn for 4 days. You have to attend a workshop in Tallinn between day 8 and day 11. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 22 and day 25. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 25 and day 29 to tour together. You plan to stay in Athens for 5 days. You want to spend 3 days in Vilnius. You plan to stay in Rome for 5 days. You plan to stay in Oslo for 3 days. You are going to attend a wedding in Oslo between day 17 and day 19. You would like to visit Florence for 3 days. You plan to stay in Venice for 4 days. During day 19 and day 22, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nVenice and Stuttgart, Rome and Paris, Oslo and Paris, Venice and Paris, Istanbul and Athens, Rome and Athens, Tallinn and Paris, Vilnius and Athens, Stuttgart and Paris, Vilnius and Oslo, Istanbul and Venice, from Tallinn to Vilnius, Tallinn and Oslo, Paris and Florence, Athens and Paris, Athens and Stuttgart, Athens and Venice, Istanbul and Paris, Istanbul and Oslo, Oslo and Venice, Athens and Oslo, Istanbul and Stuttgart, Rome and Oslo, Rome and Stuttgart, Rome and Istanbul, Istanbul and Vilnius, from Istanbul to Tallinn, Rome and Venice, Vilnius and Paris.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You plan to stay in Istanbul for 4 days. You plan to stay in Tallinn for 4 days. You have to attend a workshop in Tallinn between day 8 and day 11. You would like to visit Stuttgart for 4 days. You want to meet a friend in Stuttgart between day 22 and day 25. You would like to visit Paris for 5 days. You would like to meet your friends at Paris between day 25 and day 29 to tour together. You plan to stay in Athens for 5 days. You want to spend 3 days in Vilnius. You plan to stay in Rome for 5 days. You plan to stay in Oslo for 3 days. You are going to attend a wedding in Oslo between day 17 and day 19. You would like to visit Florence for 3 days. You plan to stay in Venice for 4 days. During day 19 and day 22, you have to attend a conference in Venice.\n\nHere are the cities that have direct flights:\nfrom Venice to Stuttgart, from Rome to Paris, from Oslo to Paris, from Venice to Paris, from Istanbul to Athens, from Rome to Athens, from Tallinn to Paris, from Vilnius to Athens, from Stuttgart to Paris, from Vilnius to Oslo, from Istanbul to Venice, from Tallinn to Vilnius, from Tallinn to Oslo, from Paris to Florence, from Athens to Paris, from Athens to Stuttgart, from Athens to Venice, from Istanbul to Paris, from Istanbul to Oslo, from Oslo to Venice, from Athens to Oslo, from Istanbul to Stuttgart, from Rome to Oslo, from Rome to Stuttgart, from Rome to Istanbul, from Istanbul to Vilnius, from Istanbul to Tallinn, from Rome to Venice, from Vilnius to Paris.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Athens.\n**Day 13-17:** Visit Athens for 5 days.\n**Day 17:** Fly from Athens to Oslo.\n**Day 17-19:** Visit Oslo for 3 days.\n**Day 19:** Fly from Oslo to Venice.\n**Day 19-22:** Visit Venice for 4 days.\n**Day 22:** Fly from Venice to Stuttgart.\n**Day 22-25:** Visit Stuttgart for 4 days.\n**Day 25:** Fly from Stuttgart to Paris.\n**Day 25-29:** Visit Paris for 5 days.\n**Day 29:** Fly from Paris to Florence.\n**Day 29-31:** Visit Florence for 3 days.",
    "id": "trip_planning_example_1552",
    "estimated_output_tokens": 4680,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Istanbul, Duration: 4 days.\n* City: Tallinn, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Stuttgart, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Paris, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Athens, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Florence, Duration: 3 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Tallinn, Fixed Schedule: Day 8 - 11.\n* City: Oslo, Fixed Schedule: Day 17 - 19.\n* City: Venice, Fixed Schedule: Day 19 - 22.\n* City: Stuttgart, Fixed Schedule: Day 22 - 25.\n* City: Paris, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 4 days.\n* City: Athens, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n* City: Rome, Duration: 5 days.\n* City: Florence, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Athens, Vilnius, Rome, Florence] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 11).\n |- The departure day of Istanbul is Day 4. The arrival day of Tallinn is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Rome, Florence] and explore these options in order.\n   |- Try arranging to visit Athens from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Istanbul to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 11).\n   |- The departure day of Athens is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Istanbul, Athens].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Athens to Tallinn.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Tallinn (Day 8 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Tallinn is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Rome, Florence] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 8 - 11).\n     |- The departure day of Athens is Day 10. The arrival day of Tallinn is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vilnius to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Istanbul to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Istanbul to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Athens from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 11).\n |- The departure day of Athens is Day 5. The arrival day of Tallinn is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius, Rome, Florence] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Athens to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Vilnius.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Athens to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Athens to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Vilnius from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Vilnius.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 11).\n |- The departure day of Vilnius is Day 3. The arrival day of Tallinn is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Vilnius].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Athens, Rome, Florence] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Vilnius to Istanbul.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 8 - 11).\n   |- The departure day of Athens is Day 7. The arrival day of Tallinn is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Vilnius, Athens].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Istanbul, Rome, Florence] and explore these options in order.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Athens to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Athens to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Athens to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Vilnius to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Vilnius to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 8 - 11).\n |- The departure day of Rome is Day 5. The arrival day of Tallinn is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Istanbul, Athens, Vilnius, Florence] and explore these options in order.\n   |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Tallinn (Day 8 - 11).\n   |- The departure day of Istanbul is Day 8. The arrival day of Tallinn is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Istanbul].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Tallinn.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Istanbul to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Oslo (Day 17 - 19).\n     |- The departure day of Tallinn is Day 11. The arrival day of Oslo is Day 17. Day 11 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Istanbul, Tallinn].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Athens, Vilnius, Florence] and explore these options in order.\n       |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Tallinn to Athens.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Oslo (Day 17 - 19).\n       |- The departure day of Vilnius is Day 13. The arrival day of Oslo is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Istanbul, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Athens, Florence] and explore these options in order.\n         |- Try arranging to visit Athens from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Vilnius to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Oslo (Day 17 - 19).\n         |- The departure day of Athens is Day 17. The arrival day of Oslo is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- Yes. The city with an arrival day of Day 17 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Athens to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Venice (Day 19 - 22).\n           |- The departure day of Oslo is Day 19. The arrival day of Venice is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens, Oslo].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- Yes. The city with an arrival day of Day 19 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n             |- Check for direct flight from Oslo to Venice.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 22 - 25).\n             |- The departure day of Venice is Day 22. The arrival day of Stuttgart is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens, Oslo, Venice].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Venice to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Paris (Day 25 - 29).\n               |- The departure day of Stuttgart is Day 25. The arrival day of Paris is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens, Oslo, Venice, Stuttgart].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Paris.\n                 |- Try arranging to visit Paris from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Stuttgart to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens, Oslo, Venice, Stuttgart, Paris].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                   |- Try arranging to visit Florence from Day 29. Duration: 3 days. Schedule: Day 29 - 31.\n                   |- Check for direct flight from Paris to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Rome, Istanbul, Tallinn, Vilnius, Athens, Oslo, Venice, Stuttgart, Paris, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Tallinn.\n**Day 8-11:** Visit Tallinn for 4 days.\n**Day 11:** Fly from Tallinn to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Athens.\n**Day 13-17:** Visit Athens for 5 days.\n**Day 17:** Fly from Athens to Oslo.\n**Day 17-19:** Visit Oslo for 3 days.\n**Day 19:** Fly from Oslo to Venice.\n**Day 19-22:** Visit Venice for 4 days.\n**Day 22:** Fly from Venice to Stuttgart.\n**Day 22-25:** Visit Stuttgart for 4 days.\n**Day 25:** Fly from Stuttgart to Paris.\n**Day 25-29:** Visit Paris for 5 days.\n**Day 29:** Fly from Paris to Florence.\n**Day 29-31:** Visit Florence for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Munich**Lisbon**Oslo**Riga**Nice**Mykonos**Athens**Stuttgart**Valencia**Paris",
    "ground_truth_durations": "2**4**4**2**5**4**3**3**2**4",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 21,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Valencia"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Riga",
        "Nice"
      ],
      [
        "Lisbon",
        "Valencia"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Stuttgart",
        "Paris"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Munich",
        "Nice"
      ],
      [
        "Nice",
        "Athens"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Nice",
        "Paris"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Munich",
        "Paris"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Lisbon",
        "Riga"
      ],
      [
        "Lisbon",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Oslo",
        "Athens"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Lisbon",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You want to spend 4 days in Lisbon. You plan to stay in Athens for 3 days. You want to spend 2 days in Riga. You plan to stay in Munich for 2 days. You have to attend a workshop in Munich between day 1 and day 2. You plan to stay in Paris for 4 days. You plan to visit relatives in Paris between day 21 and day 24. You want to spend 2 days in Valencia. You want to spend 5 days in Nice. You want to spend 3 days in Stuttgart. You would like to visit Oslo for 4 days. From day 5 to day 8, there is a annual show you want to attend in Oslo.\n\nHere are the cities that have direct flights:\nMunich and Valencia, Oslo and Nice, Nice and Mykonos, Munich and Oslo, Athens and Stuttgart, Valencia and Paris, Lisbon and Stuttgart, Riga and Nice, Lisbon and Valencia, Athens and Paris, Stuttgart and Paris, Lisbon and Oslo, Munich and Athens, Munich and Lisbon, Munich and Nice, Nice and Athens, from Riga to Munich, Lisbon and Nice, Riga and Paris, Oslo and Riga, Nice and Paris, Mykonos and Athens, Munich and Paris, Oslo and Paris, Lisbon and Riga, Lisbon and Athens, from Athens to Riga, from Valencia to Athens, Munich and Mykonos, Oslo and Athens, Stuttgart and Valencia, Lisbon and Paris.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Mykonos. You want to spend 4 days in Lisbon. You plan to stay in Athens for 3 days. You want to spend 2 days in Riga. You plan to stay in Munich for 2 days. You have to attend a workshop in Munich between day 1 and day 2. You plan to stay in Paris for 4 days. You plan to visit relatives in Paris between day 21 and day 24. You want to spend 2 days in Valencia. You want to spend 5 days in Nice. You want to spend 3 days in Stuttgart. You would like to visit Oslo for 4 days. From day 5 to day 8, there is a annual show you want to attend in Oslo.\n\nHere are the cities that have direct flights:\nfrom Munich to Valencia, from Oslo to Nice, from Nice to Mykonos, from Munich to Oslo, from Athens to Stuttgart, from Valencia to Paris, from Lisbon to Stuttgart, from Riga to Nice, from Lisbon to Valencia, from Athens to Paris, from Stuttgart to Paris, from Lisbon to Oslo, from Munich to Athens, from Munich to Lisbon, from Munich to Nice, from Nice to Athens, from Riga to Munich, from Lisbon to Nice, from Riga to Paris, from Oslo to Riga, from Nice to Paris, from Mykonos to Athens, from Munich to Paris, from Oslo to Paris, from Lisbon to Riga, from Lisbon to Athens, from Athens to Riga, from Valencia to Athens, from Munich to Mykonos, from Oslo to Athens, from Stuttgart to Valencia, from Lisbon to Paris.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.\n**Day 16:** Fly from Mykonos to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.\n**Day 21:** Fly from Valencia to Paris.\n**Day 21-24:** Visit Paris for 4 days.",
    "id": "trip_planning_example_1553",
    "estimated_output_tokens": 5170,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 21 - 24.\n* City: Valencia, Duration: 2 days.\n* City: Nice, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Oslo, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 1 - 2.\n* City: Oslo, Fixed Schedule: Day 5 - 8.\n* City: Paris, Fixed Schedule: Day 21 - 24.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Riga, Duration: 2 days.\n* City: Valencia, Duration: 2 days.\n* City: Nice, Duration: 5 days.\n* City: Stuttgart, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Munich.\n |- Try arranging to visit Munich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 8).\n |- The departure day of Munich is Day 2. The arrival day of Oslo is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Mykonos, Lisbon, Athens, Riga, Valencia, Nice, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 8).\n   |- The departure day of Mykonos is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Mykonos].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Mykonos to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Munich to Lisbon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 8).\n   |- The departure day of Lisbon is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Munich, Lisbon].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Lisbon to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Paris (Day 21 - 24).\n     |- The departure day of Oslo is Day 8. The arrival day of Paris is Day 21. Day 8 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Munich, Lisbon, Oslo].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Riga, Valencia, Nice, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Oslo to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Oslo to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Paris (Day 21 - 24).\n       |- The departure day of Athens is Day 10. The arrival day of Paris is Day 21. Day 10 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Munich, Lisbon, Oslo, Athens].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Valencia, Nice, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Athens to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Athens to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 21 - 24).\n         |- The departure day of Riga is Day 11. The arrival day of Paris is Day 21. Day 11 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Munich, Lisbon, Oslo, Athens, Riga].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Valencia, Nice, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Riga to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n           |- Check for direct flight from Riga to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Riga to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Paris (Day 21 - 24).\n           |- The departure day of Nice is Day 15. The arrival day of Paris is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Munich, Lisbon, Oslo, Athens, Riga, Nice].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Valencia, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Nice to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Paris (Day 21 - 24).\n             |- The departure day of Mykonos is Day 18. The arrival day of Paris is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Munich, Lisbon, Oslo, Athens, Riga, Nice, Mykonos].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Mykonos to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Mykonos to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Valencia from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Nice to Valencia.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Nice to Stuttgart.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n           |- Check for direct flight from Riga to Stuttgart.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Athens to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Athens to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Athens to Stuttgart.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Paris (Day 21 - 24).\n         |- The departure day of Stuttgart is Day 12. The arrival day of Paris is Day 21. Day 12 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Munich, Lisbon, Oslo, Athens, Stuttgart].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Valencia, Nice] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Stuttgart to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Riga from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Stuttgart to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Valencia from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Stuttgart to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Paris (Day 21 - 24).\n           |- The departure day of Valencia is Day 13. The arrival day of Paris is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Munich, Lisbon, Oslo, Athens, Stuttgart, Valencia].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Riga, Nice] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Valencia to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Valencia to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Valencia to Nice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Nice from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Stuttgart to Nice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Oslo to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Paris (Day 21 - 24).\n       |- The departure day of Riga is Day 9. The arrival day of Paris is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Munich, Lisbon, Oslo, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Valencia, Nice, Stuttgart] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Athens from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Athens.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Riga to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Paris (Day 21 - 24).\n         |- The departure day of Nice is Day 13. The arrival day of Paris is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Munich, Lisbon, Oslo, Riga, Nice].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Athens, Valencia, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Nice to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Paris (Day 21 - 24).\n           |- The departure day of Mykonos is Day 16. The arrival day of Paris is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Munich, Lisbon, Oslo, Riga, Nice, Mykonos].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Athens, Valencia, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Athens from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Mykonos to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Paris (Day 21 - 24).\n             |- The departure day of Athens is Day 18. The arrival day of Paris is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Munich, Lisbon, Oslo, Riga, Nice, Mykonos, Athens].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Athens to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Athens to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Paris (Day 21 - 24).\n               |- The departure day of Stuttgart is Day 20. The arrival day of Paris is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Munich, Lisbon, Oslo, Riga, Nice, Mykonos, Athens, Stuttgart].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                 |- Try arranging to visit Valencia from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Stuttgart to Valencia.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Paris (Day 21 - 24).\n                 |- The departure day of Valencia is Day 21. The arrival day of Paris is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Munich, Lisbon, Oslo, Riga, Nice, Mykonos, Athens, Stuttgart, Valencia].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Paris.\n                   |- Try arranging to visit Paris from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                   |- Check for direct flight from Valencia to Paris.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Munich, Lisbon, Oslo, Riga, Nice, Mykonos, Athens, Stuttgart, Valencia, Paris].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Munich and visit Munich for 2 days.\n**Day 2:** Fly from Munich to Lisbon.\n**Day 2-5:** Visit Lisbon for 4 days.\n**Day 5:** Fly from Lisbon to Oslo.\n**Day 5-8:** Visit Oslo for 4 days.\n**Day 8:** Fly from Oslo to Riga.\n**Day 8-9:** Visit Riga for 2 days.\n**Day 9:** Fly from Riga to Nice.\n**Day 9-13:** Visit Nice for 5 days.\n**Day 13:** Fly from Nice to Mykonos.\n**Day 13-16:** Visit Mykonos for 4 days.\n**Day 16:** Fly from Mykonos to Athens.\n**Day 16-18:** Visit Athens for 3 days.\n**Day 18:** Fly from Athens to Stuttgart.\n**Day 18-20:** Visit Stuttgart for 3 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-21:** Visit Valencia for 2 days.\n**Day 21:** Fly from Valencia to Paris.\n**Day 21-24:** Visit Paris for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Oslo**Prague**Reykjavik**Frankfurt**Lyon**Porto**Hamburg**Zurich**Mykonos",
    "ground_truth_durations": "4**2**3**5**3**2**2**4**2**2",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Dubrovnik",
        "Oslo"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Lyon",
        "Porto"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Zurich"
      ],
      [
        "Hamburg",
        "Zurich"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Oslo",
        "Reykjavik"
      ],
      [
        "Oslo",
        "Zurich"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Frankfurt",
        "Porto"
      ],
      [
        "Frankfurt",
        "Lyon"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Porto",
        "Zurich"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Porto"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 11 and day 13. You want to spend 2 days in Lyon. You would like to visit Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 7 and day 11 to tour together. You plan to stay in Mykonos for 2 days. You want to spend 4 days in Dubrovnik. From day 1 to day 4, there is a annual show you want to attend in Dubrovnik. You plan to stay in Hamburg for 4 days. During day 15 and day 18, you have to attend a conference in Hamburg. You want to spend 3 days in Prague. You would like to visit Porto for 2 days. You want to spend 2 days in Zurich. You want to spend 2 days in Oslo.\n\nHere are the cities that have direct flights:\nPrague and Reykjavik, Frankfurt and Hamburg, Prague and Zurich, Dubrovnik and Zurich, Prague and Lyon, Dubrovnik and Oslo, Porto and Hamburg, Lyon and Porto, Oslo and Frankfurt, Frankfurt and Zurich, Hamburg and Zurich, Oslo and Hamburg, Reykjavik and Zurich, Zurich and Mykonos, Oslo and Reykjavik, Oslo and Zurich, Oslo and Prague, Frankfurt and Porto, Frankfurt and Lyon, Oslo and Lyon, Porto and Zurich, Prague and Frankfurt, Reykjavik and Frankfurt, Dubrovnik and Frankfurt, Oslo and Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You plan to stay in Frankfurt for 3 days. You have to attend a workshop in Frankfurt between day 11 and day 13. You want to spend 2 days in Lyon. You would like to visit Reykjavik for 5 days. You would like to meet your friends at Reykjavik between day 7 and day 11 to tour together. You plan to stay in Mykonos for 2 days. You want to spend 4 days in Dubrovnik. From day 1 to day 4, there is a annual show you want to attend in Dubrovnik. You plan to stay in Hamburg for 4 days. During day 15 and day 18, you have to attend a conference in Hamburg. You want to spend 3 days in Prague. You would like to visit Porto for 2 days. You want to spend 2 days in Zurich. You want to spend 2 days in Oslo.\n\nHere are the cities that have direct flights:\nfrom Prague to Reykjavik, from Frankfurt to Hamburg, from Prague to Zurich, from Dubrovnik to Zurich, from Prague to Lyon, from Dubrovnik to Oslo, from Porto to Hamburg, from Lyon to Porto, from Oslo to Frankfurt, from Frankfurt to Zurich, from Hamburg to Zurich, from Oslo to Hamburg, from Reykjavik to Zurich, from Zurich to Mykonos, from Oslo to Reykjavik, from Oslo to Zurich, from Oslo to Prague, from Frankfurt to Porto, from Frankfurt to Lyon, from Oslo to Lyon, from Porto to Zurich, from Prague to Frankfurt, from Reykjavik to Frankfurt, from Dubrovnik to Frankfurt, from Oslo to Porto.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Porto.\n**Day 14-15:** Visit Porto for 2 days.\n**Day 15:** Fly from Porto to Hamburg.\n**Day 15-18:** Visit Hamburg for 4 days.\n**Day 18:** Fly from Hamburg to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1554",
    "estimated_output_tokens": 4367,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Lyon, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Mykonos, Duration: 2 days.\n* City: Dubrovnik, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Prague, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Fixed Schedule: Day 7 - 11.\n* City: Frankfurt, Fixed Schedule: Day 11 - 13.\n* City: Hamburg, Fixed Schedule: Day 15 - 18.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Mykonos, Duration: 2 days.\n* City: Prague, Duration: 3 days.\n* City: Porto, Duration: 2 days.\n* City: Zurich, Duration: 2 days.\n* City: Oslo, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Dubrovnik.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 7 - 11).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Reykjavik is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Prague, Porto, Zurich, Oslo] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Porto from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 7 - 11).\n   |- The departure day of Zurich is Day 5. The arrival day of Reykjavik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Prague, Porto, Oslo] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Zurich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 7 - 11).\n     |- The departure day of Mykonos is Day 6. The arrival day of Reykjavik is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Zurich, Mykonos].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Prague, Porto, Oslo] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Mykonos to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Mykonos to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Mykonos to Porto.\n       |- No. Drop this branch.\n       |- Try arranging to visit Oslo from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Mykonos to Oslo.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Zurich to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Porto from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Zurich to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Zurich to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Oslo from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Reykjavik (Day 7 - 11).\n   |- The departure day of Oslo is Day 5. The arrival day of Reykjavik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Dubrovnik, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Prague, Porto, Zurich] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 7 - 11).\n     |- The departure day of Lyon is Day 6. The arrival day of Reykjavik is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Dubrovnik, Oslo, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Mykonos, Prague, Porto, Zurich] and explore these options in order.\n       |- Try arranging to visit Mykonos from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lyon to Prague.\n       |- No. Drop this branch.\n       |- Try arranging to visit Porto from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Porto.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 7 - 11).\n       |- The departure day of Porto is Day 7. The arrival day of Reykjavik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Dubrovnik, Oslo, Lyon, Porto].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Reykjavik.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Porto to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Zurich.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Mykonos.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 7 - 11).\n     |- The departure day of Prague is Day 7. The arrival day of Reykjavik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Dubrovnik, Oslo, Prague].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Prague to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Frankfurt (Day 11 - 13).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Frankfurt is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Frankfurt.\n         |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Reykjavik to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Hamburg (Day 15 - 18).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Hamburg is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Mykonos, Porto, Zurich] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 15 - 18).\n           |- The departure day of Lyon is Day 14. The arrival day of Hamburg is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt, Lyon].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Porto, Zurich] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Lyon to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Lyon to Porto.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 15 - 18).\n             |- The departure day of Porto is Day 15. The arrival day of Hamburg is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt, Lyon, Porto].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Hamburg.\n               |- Try arranging to visit Hamburg from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Porto to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt, Lyon, Porto, Hamburg].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Zurich] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Hamburg to Mykonos.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Zurich from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                 |- Check for direct flight from Hamburg to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt, Lyon, Porto, Hamburg, Zurich].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n                   |- Check for direct flight from Zurich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Dubrovnik, Oslo, Prague, Reykjavik, Frankfurt, Lyon, Porto, Hamburg, Zurich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Oslo.\n**Day 4-5:** Visit Oslo for 2 days.\n**Day 5:** Fly from Oslo to Prague.\n**Day 5-7:** Visit Prague for 3 days.\n**Day 7:** Fly from Prague to Reykjavik.\n**Day 7-11:** Visit Reykjavik for 5 days.\n**Day 11:** Fly from Reykjavik to Frankfurt.\n**Day 11-13:** Visit Frankfurt for 3 days.\n**Day 13:** Fly from Frankfurt to Lyon.\n**Day 13-14:** Visit Lyon for 2 days.\n**Day 14:** Fly from Lyon to Porto.\n**Day 14-15:** Visit Porto for 2 days.\n**Day 15:** Fly from Porto to Hamburg.\n**Day 15-18:** Visit Hamburg for 4 days.\n**Day 18:** Fly from Hamburg to Zurich.\n**Day 18-19:** Visit Zurich for 2 days.\n**Day 19:** Fly from Zurich to Mykonos.\n**Day 19-20:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Frankfurt**Copenhagen**London**Madrid**Naples**Santorini**Rome**Hamburg**Warsaw",
    "ground_truth_durations": "2**5**4**4**2**2**2**2**2**5",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 13,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 16,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Lyon",
        "Madrid"
      ],
      [
        "London",
        "Madrid"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Frankfurt",
        "Madrid"
      ],
      [
        "Santorini",
        "Rome"
      ],
      [
        "London",
        "Santorini"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Copenhagen",
        "London"
      ],
      [
        "Madrid",
        "Hamburg"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Madrid"
      ],
      [
        "Rome",
        "Hamburg"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Frankfurt",
        "London"
      ],
      [
        "Madrid",
        "Santorini"
      ],
      [
        "Madrid",
        "Naples"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Madrid",
        "Rome"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Lyon",
        "London"
      ],
      [
        "Copenhagen",
        "Hamburg"
      ],
      [
        "Frankfurt",
        "Copenhagen"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "London",
        "Naples"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Madrid",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You want to spend 5 days in Warsaw. You would like to visit London for 4 days. You want to meet a friend in London between day 9 and day 12. You would like to visit Naples for 2 days. You would like to meet your friends at Naples between day 13 and day 14 to tour together. You want to spend 2 days in Madrid. You are going to attend a wedding in Madrid between day 12 and day 13. You would like to visit Rome for 2 days. You plan to stay in Lyon for 2 days. You would like to visit Frankfurt for 5 days. You want to spend 4 days in Copenhagen. You plan to visit relatives in Copenhagen between day 6 and day 9. You would like to visit Hamburg for 2 days. During day 16 and day 17, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nFrankfurt and Hamburg, Naples and Warsaw, Lyon and Frankfurt, London and Hamburg, Copenhagen and Santorini, Lyon and Madrid, London and Madrid, Naples and Rome, Frankfurt and Madrid, Santorini and Rome, London and Santorini, London and Rome, Copenhagen and London, Madrid and Hamburg, Copenhagen and Rome, Hamburg and Warsaw, Copenhagen and Madrid, Rome and Hamburg, London and Warsaw, Frankfurt and Naples, Frankfurt and London, Madrid and Santorini, Madrid and Naples, Lyon and Rome, Madrid and Rome, Copenhagen and Naples, Lyon and London, Copenhagen and Hamburg, Frankfurt and Copenhagen, Rome and Warsaw, London and Naples, Naples and Santorini, Madrid and Warsaw, Frankfurt and Rome, Frankfurt and Warsaw, Copenhagen and Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You would like to visit Santorini for 2 days. You want to spend 5 days in Warsaw. You would like to visit London for 4 days. You want to meet a friend in London between day 9 and day 12. You would like to visit Naples for 2 days. You would like to meet your friends at Naples between day 13 and day 14 to tour together. You want to spend 2 days in Madrid. You are going to attend a wedding in Madrid between day 12 and day 13. You would like to visit Rome for 2 days. You plan to stay in Lyon for 2 days. You would like to visit Frankfurt for 5 days. You want to spend 4 days in Copenhagen. You plan to visit relatives in Copenhagen between day 6 and day 9. You would like to visit Hamburg for 2 days. During day 16 and day 17, you have to attend a conference in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Hamburg, from Naples to Warsaw, from Lyon to Frankfurt, from London to Hamburg, from Copenhagen to Santorini, from Lyon to Madrid, from London to Madrid, from Naples to Rome, from Frankfurt to Madrid, from Santorini to Rome, from London to Santorini, from London to Rome, from Copenhagen to London, from Madrid to Hamburg, from Copenhagen to Rome, from Hamburg to Warsaw, from Copenhagen to Madrid, from Rome to Hamburg, from London to Warsaw, from Frankfurt to Naples, from Frankfurt to London, from Madrid to Santorini, from Madrid to Naples, from Lyon to Rome, from Madrid to Rome, from Copenhagen to Naples, from Lyon to London, from Copenhagen to Hamburg, from Frankfurt to Copenhagen, from Rome to Warsaw, from London to Naples, from Naples to Santorini, from Madrid to Warsaw, from Frankfurt to Rome, from Frankfurt to Warsaw, from Copenhagen to Warsaw.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Frankfurt.\n**Day 2-6:** Visit Frankfurt for 5 days.\n**Day 6:** Fly from Frankfurt to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Rome.\n**Day 15-16:** Visit Rome for 2 days.\n**Day 16:** Fly from Rome to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.",
    "id": "trip_planning_example_1555",
    "estimated_output_tokens": 4832,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Santorini, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 13 - 14.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Rome, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 6 - 9.\n* City: London, Fixed Schedule: Day 9 - 12.\n* City: Madrid, Fixed Schedule: Day 12 - 13.\n* City: Naples, Fixed Schedule: Day 13 - 14.\n* City: Hamburg, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Warsaw, Duration: 5 days.\n* City: Rome, Duration: 2 days.\n* City: Lyon, Duration: 2 days.\n* City: Frankfurt, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Rome, Lyon, Frankfurt] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 9).\n |- The departure day of Santorini is Day 2. The arrival day of Copenhagen is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Warsaw, Rome, Lyon, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 6 - 9).\n   |- The departure day of Rome is Day 3. The arrival day of Copenhagen is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Santorini, Rome].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Warsaw, Lyon, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Rome to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 6 - 9).\n     |- The departure day of Warsaw is Day 7. The arrival day of Copenhagen is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Rome to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Rome to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Warsaw from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Warsaw.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 9).\n |- The departure day of Warsaw is Day 5. The arrival day of Copenhagen is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Warsaw].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Rome, Lyon, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Warsaw to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Warsaw to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Warsaw to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Warsaw to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Rome from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 9).\n |- The departure day of Rome is Day 2. The arrival day of Copenhagen is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Lyon, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Rome to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Warsaw.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 6 - 9).\n   |- The departure day of Warsaw is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Warsaw].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Warsaw to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Rome to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Rome to Frankfurt.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 6 - 9).\n |- The departure day of Lyon is Day 2. The arrival day of Copenhagen is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Rome, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Santorini from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Warsaw from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Warsaw.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 6 - 9).\n   |- The departure day of Rome is Day 3. The arrival day of Copenhagen is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n     |- Check for direct flight from Rome to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Warsaw from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Rome to Warsaw.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 6 - 9).\n     |- The departure day of Warsaw is Day 7. The arrival day of Copenhagen is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Rome to Frankfurt.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Lyon to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Copenhagen (Day 6 - 9).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Copenhagen is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Lyon, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: London (Day 9 - 12).\n     |- The departure day of Copenhagen is Day 9. The arrival day of London is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Frankfurt, Copenhagen].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: London.\n       |- Try arranging to visit London from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Copenhagen to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Madrid (Day 12 - 13).\n       |- The departure day of London is Day 12. The arrival day of Madrid is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Lyon, Frankfurt, Copenhagen, London].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Madrid.\n         |- Try arranging to visit Madrid from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from London to Madrid.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Naples (Day 13 - 14).\n         |- The departure day of Madrid is Day 13. The arrival day of Naples is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Madrid to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Hamburg (Day 16 - 17).\n           |- The departure day of Naples is Day 14. The arrival day of Hamburg is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid, Naples].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Warsaw, Rome] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Naples to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Hamburg (Day 16 - 17).\n             |- The departure day of Santorini is Day 15. The arrival day of Hamburg is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid, Naples, Santorini].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Warsaw, Rome] and explore these options in order.\n               |- Try arranging to visit Warsaw from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n               |- Check for direct flight from Santorini to Warsaw.\n               |- No. Drop this branch.\n               |- Try arranging to visit Rome from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Santorini to Rome.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Hamburg (Day 16 - 17).\n               |- The departure day of Rome is Day 16. The arrival day of Hamburg is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid, Naples, Santorini, Rome].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Hamburg.\n                 |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n                 |- Check for direct flight from Rome to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 17. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid, Naples, Santorini, Rome, Hamburg].\n                  |- Check whether the city with an arrival day of Day 17 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                   |- Try arranging to visit Warsaw from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                   |- Check for direct flight from Hamburg to Warsaw.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Lyon, Frankfurt, Copenhagen, London, Madrid, Naples, Santorini, Rome, Hamburg, Warsaw].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Lyon and visit Lyon for 2 days.\n**Day 2:** Fly from Lyon to Frankfurt.\n**Day 2-6:** Visit Frankfurt for 5 days.\n**Day 6:** Fly from Frankfurt to Copenhagen.\n**Day 6-9:** Visit Copenhagen for 4 days.\n**Day 9:** Fly from Copenhagen to London.\n**Day 9-12:** Visit London for 4 days.\n**Day 12:** Fly from London to Madrid.\n**Day 12-13:** Visit Madrid for 2 days.\n**Day 13:** Fly from Madrid to Naples.\n**Day 13-14:** Visit Naples for 2 days.\n**Day 14:** Fly from Naples to Santorini.\n**Day 14-15:** Visit Santorini for 2 days.\n**Day 15:** Fly from Santorini to Rome.\n**Day 15-16:** Visit Rome for 2 days.\n**Day 16:** Fly from Rome to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Warsaw.\n**Day 17-21:** Visit Warsaw for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Dublin**Reykjavik**Nice**Manchester**Riga**Tallinn**Vilnius**Zurich**Florence",
    "ground_truth_durations": "5**2**2**5**5**5**2**2**4**5",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Dublin",
        "Riga"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Dublin",
        "Zurich"
      ],
      [
        "Dublin",
        "Nice"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Krakow",
        "Dublin"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Manchester",
        "Riga"
      ],
      [
        "Dublin",
        "Tallinn"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Dublin",
        "Manchester"
      ],
      [
        "Krakow",
        "Zurich"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Dublin",
        "Reykjavik"
      ],
      [
        "Riga",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You plan to stay in Krakow for 5 days. You plan to visit relatives in Krakow between day 1 and day 5. You want to spend 5 days in Riga. You are going to attend a wedding in Riga between day 15 and day 19. You want to spend 2 days in Vilnius. You would like to visit Tallinn for 2 days. You plan to stay in Florence for 5 days. You want to spend 2 days in Dublin. You want to spend 5 days in Manchester. You want to meet a friend in Manchester between day 11 and day 15. You want to spend 4 days in Zurich. You plan to stay in Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, Dublin and Riga, Tallinn and Zurich, from Zurich to Florence, Nice and Zurich, Vilnius and Zurich, Dublin and Zurich, Dublin and Nice, Nice and Riga, Reykjavik and Zurich, Nice and Manchester, from Riga to Vilnius, Krakow and Dublin, Manchester and Zurich, Krakow and Manchester, Manchester and Riga, Dublin and Tallinn, Reykjavik and Nice, from Riga to Tallinn, Dublin and Manchester, Krakow and Zurich, from Krakow to Vilnius, Dublin and Reykjavik, Riga and Zurich.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 5 days. You plan to stay in Krakow for 5 days. You plan to visit relatives in Krakow between day 1 and day 5. You want to spend 5 days in Riga. You are going to attend a wedding in Riga between day 15 and day 19. You want to spend 2 days in Vilnius. You would like to visit Tallinn for 2 days. You plan to stay in Florence for 5 days. You want to spend 2 days in Dublin. You want to spend 5 days in Manchester. You want to meet a friend in Manchester between day 11 and day 15. You want to spend 4 days in Zurich. You plan to stay in Reykjavik for 2 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, from Dublin to Riga, from Tallinn to Zurich, from Zurich to Florence, from Nice to Zurich, from Vilnius to Zurich, from Dublin to Zurich, from Dublin to Nice, from Nice to Riga, from Reykjavik to Zurich, from Nice to Manchester, from Riga to Vilnius, from Krakow to Dublin, from Manchester to Zurich, from Krakow to Manchester, from Manchester to Riga, from Dublin to Tallinn, from Reykjavik to Nice, from Riga to Tallinn, from Dublin to Manchester, from Krakow to Zurich, from Krakow to Vilnius, from Dublin to Reykjavik, from Riga to Zurich.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Dublin.\n**Day 5-6:** Visit Dublin for 2 days.\n**Day 6:** Fly from Dublin to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-20:** Visit Tallinn for 2 days.\n**Day 20:** Fly from Tallinn to Vilnius.\n**Day 20-21:** Visit Vilnius for 2 days.\n**Day 21:** Fly from Vilnius to Zurich.\n**Day 21-24:** Visit Zurich for 4 days.\n**Day 24:** Fly from Zurich to Florence.\n**Day 24-28:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1556",
    "estimated_output_tokens": 7128,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 5 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Zurich, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 5.\n* City: Manchester, Fixed Schedule: Day 11 - 15.\n* City: Riga, Fixed Schedule: Day 15 - 19.\n\nCities needing arrangement:\n* City: Nice, Duration: 5 days.\n* City: Vilnius, Duration: 2 days.\n* City: Tallinn, Duration: 2 days.\n* City: Florence, Duration: 5 days.\n* City: Dublin, Duration: 2 days.\n* City: Zurich, Duration: 4 days.\n* City: Reykjavik, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 11 - 15).\n |- The departure day of Krakow is Day 5. The arrival day of Manchester is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Tallinn, Florence, Dublin, Zurich, Reykjavik] and explore these options in order.\n   |- Try arranging to visit Nice from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 11 - 15).\n   |- The departure day of Vilnius is Day 6. The arrival day of Manchester is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Tallinn, Florence, Dublin, Zurich, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dublin from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Dublin.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 11 - 15).\n     |- The departure day of Zurich is Day 9. The arrival day of Manchester is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Krakow, Vilnius, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Tallinn, Florence, Dublin, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 11 - 15).\n       |- The departure day of Florence is Day 13. The arrival day of Manchester is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dublin from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Dublin.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Reykjavik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dublin from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Dublin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Manchester (Day 11 - 15).\n   |- The departure day of Dublin is Day 6. The arrival day of Manchester is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Dublin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Tallinn, Florence, Zurich, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Nice from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dublin to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 11 - 15).\n     |- The departure day of Nice is Day 10. The arrival day of Manchester is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Krakow, Dublin, Nice].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Florence, Zurich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Nice to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Nice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Nice to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Nice to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 11 - 15).\n       |- The departure day of Zurich is Day 13. The arrival day of Manchester is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Nice to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Vilnius.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 11 - 15).\n     |- The departure day of Tallinn is Day 7. The arrival day of Manchester is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Dublin, Tallinn].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Florence, Zurich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 11 - 15).\n       |- The departure day of Vilnius is Day 8. The arrival day of Manchester is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Krakow, Dublin, Tallinn, Vilnius].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Florence, Zurich, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Vilnius to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Vilnius to Florence.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Vilnius to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Manchester (Day 11 - 15).\n         |- The departure day of Zurich is Day 11. The arrival day of Manchester is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Krakow, Dublin, Tallinn, Vilnius, Zurich].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Manchester.\n           |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Zurich to Manchester.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Vilnius to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Tallinn to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Tallinn to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 11 - 15).\n       |- The departure day of Zurich is Day 10. The arrival day of Manchester is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Krakow, Dublin, Tallinn, Zurich].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Florence, Reykjavik] and explore these options in order.\n         |- Try arranging to visit Nice from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Zurich to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Vilnius from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Zurich to Vilnius.\n         |- No. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Zurich to Florence.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Manchester (Day 11 - 15).\n         |- The departure day of Florence is Day 14. The arrival day of Manchester is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Zurich to Reykjavik.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Tallinn to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Florence from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Dublin to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Dublin to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 11 - 15).\n     |- The departure day of Zurich is Day 9. The arrival day of Manchester is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Krakow, Dublin, Zurich].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Tallinn, Florence, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Nice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Vilnius.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Zurich to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Manchester (Day 11 - 15).\n       |- The departure day of Florence is Day 13. The arrival day of Manchester is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Zurich to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Dublin to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Manchester (Day 11 - 15).\n     |- The departure day of Reykjavik is Day 7. The arrival day of Manchester is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Krakow, Dublin, Reykjavik].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Vilnius, Tallinn, Florence, Zurich] and explore these options in order.\n       |- Try arranging to visit Nice from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Reykjavik to Nice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Manchester (Day 11 - 15).\n       |- The departure day of Nice is Day 11. The arrival day of Manchester is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Krakow, Dublin, Reykjavik, Nice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Manchester.\n         |- Try arranging to visit Manchester from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Nice to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 19).\n         |- The departure day of Manchester is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n           |- Try arranging to visit Riga from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Manchester to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Tallinn, Florence, Zurich] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Riga to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Vilnius].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence, Zurich] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Vilnius to Tallinn.\n               |- No. Drop this branch.\n               |- Try arranging to visit Florence from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Vilnius to Florence.\n               |- No. Drop this branch.\n               |- Try arranging to visit Zurich from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Vilnius to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Vilnius, Zurich].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn, Florence] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                 |- Check for direct flight from Zurich to Tallinn.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Florence from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Zurich to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Vilnius, Zurich, Florence].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                   |- Check for direct flight from Florence to Tallinn.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 23 in the current arrangement. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n             |- Check for direct flight from Riga to Tallinn.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Tallinn].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Florence, Zurich] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Tallinn to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Tallinn, Vilnius].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Florence, Zurich] and explore these options in order.\n                 |- Try arranging to visit Florence from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Vilnius to Florence.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Zurich from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n                 |- Check for direct flight from Vilnius to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Tallinn, Vilnius, Zurich].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                   |- Try arranging to visit Florence from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                   |- Check for direct flight from Zurich to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Krakow, Dublin, Reykjavik, Nice, Manchester, Riga, Tallinn, Vilnius, Zurich, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Dublin.\n**Day 5-6:** Visit Dublin for 2 days.\n**Day 6:** Fly from Dublin to Reykjavik.\n**Day 6-7:** Visit Reykjavik for 2 days.\n**Day 7:** Fly from Reykjavik to Nice.\n**Day 7-11:** Visit Nice for 5 days.\n**Day 11:** Fly from Nice to Manchester.\n**Day 11-15:** Visit Manchester for 5 days.\n**Day 15:** Fly from Manchester to Riga.\n**Day 15-19:** Visit Riga for 5 days.\n**Day 19:** Fly from Riga to Tallinn.\n**Day 19-20:** Visit Tallinn for 2 days.\n**Day 20:** Fly from Tallinn to Vilnius.\n**Day 20-21:** Visit Vilnius for 2 days.\n**Day 21:** Fly from Vilnius to Zurich.\n**Day 21-24:** Visit Zurich for 4 days.\n**Day 24:** Fly from Zurich to Florence.\n**Day 24-28:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Venice**Istanbul**Tallinn**Paris**Split**Helsinki**Dubrovnik**Munich**Mykonos",
    "ground_truth_durations": "4**4**4**4**4**2**3**2**3**4",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 19,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Helsinki",
        "Munich"
      ],
      [
        "Paris",
        "Helsinki"
      ],
      [
        "Paris",
        "Split"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Helsinki"
      ],
      [
        "Split",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Venice",
        "Paris"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Amsterdam",
        "Istanbul"
      ],
      [
        "Split",
        "Munich"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Amsterdam",
        "Munich"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Amsterdam",
        "Venice"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Paris",
        "Munich"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Amsterdam",
        "Mykonos"
      ],
      [
        "Helsinki",
        "Dubrovnik"
      ],
      [
        "Tallinn",
        "Munich"
      ],
      [
        "Tallinn",
        "Paris"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Paris. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 19 and day 20. You want to spend 4 days in Venice. You plan to stay in Mykonos for 4 days. You plan to stay in Tallinn for 4 days. You plan to stay in Helsinki for 3 days. You plan to stay in Munich for 3 days. You plan to stay in Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 1 and day 4. You would like to visit Split for 2 days. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 7 and day 10.\n\nHere are the cities that have direct flights:\nHelsinki and Munich, Paris and Helsinki, Paris and Split, Istanbul and Helsinki, Amsterdam and Tallinn, Amsterdam and Helsinki, Split and Helsinki, Amsterdam and Dubrovnik, Venice and Paris, Venice and Munich, Istanbul and Paris, Amsterdam and Istanbul, Split and Munich, Amsterdam and Split, Amsterdam and Munich, Venice and Istanbul, Amsterdam and Venice, Dubrovnik and Munich, from Istanbul to Tallinn, from Dubrovnik to Istanbul, Istanbul and Munich, Amsterdam and Paris, Paris and Munich, Venice and Helsinki, Munich and Mykonos, Tallinn and Helsinki, Amsterdam and Mykonos, Helsinki and Dubrovnik, Tallinn and Munich, Tallinn and Paris.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Paris. You want to spend 2 days in Dubrovnik. You are going to attend a wedding in Dubrovnik between day 19 and day 20. You want to spend 4 days in Venice. You plan to stay in Mykonos for 4 days. You plan to stay in Tallinn for 4 days. You plan to stay in Helsinki for 3 days. You plan to stay in Munich for 3 days. You plan to stay in Amsterdam for 4 days. You have to attend a workshop in Amsterdam between day 1 and day 4. You would like to visit Split for 2 days. You would like to visit Istanbul for 4 days. You want to meet a friend in Istanbul between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Helsinki to Munich, from Paris to Helsinki, from Paris to Split, from Istanbul to Helsinki, from Amsterdam to Tallinn, from Amsterdam to Helsinki, from Split to Helsinki, from Amsterdam to Dubrovnik, from Venice to Paris, from Venice to Munich, from Istanbul to Paris, from Amsterdam to Istanbul, from Split to Munich, from Amsterdam to Split, from Amsterdam to Munich, from Venice to Istanbul, from Amsterdam to Venice, from Dubrovnik to Munich, from Istanbul to Tallinn, from Dubrovnik to Istanbul, from Istanbul to Munich, from Amsterdam to Paris, from Paris to Munich, from Venice to Helsinki, from Munich to Mykonos, from Tallinn to Helsinki, from Amsterdam to Mykonos, from Helsinki to Dubrovnik, from Tallinn to Munich, from Tallinn to Paris.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-19:** Visit Helsinki for 3 days.\n**Day 19:** Fly from Helsinki to Dubrovnik.\n**Day 19-20:** Visit Dubrovnik for 2 days.\n**Day 20:** Fly from Dubrovnik to Munich.\n**Day 20-22:** Visit Munich for 3 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-25:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1557",
    "estimated_output_tokens": 7351,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 19 - 20.\n* City: Venice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Split, Duration: 2 days.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 4.\n* City: Istanbul, Fixed Schedule: Day 7 - 10.\n* City: Dubrovnik, Fixed Schedule: Day 19 - 20.\n\nCities needing arrangement:\n* City: Paris, Duration: 4 days.\n* City: Venice, Duration: 4 days.\n* City: Mykonos, Duration: 4 days.\n* City: Tallinn, Duration: 4 days.\n* City: Helsinki, Duration: 3 days.\n* City: Munich, Duration: 3 days.\n* City: Split, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 7 - 10).\n |- The departure day of Amsterdam is Day 4. The arrival day of Istanbul is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Paris, Venice, Mykonos, Tallinn, Helsinki, Munich, Split] and explore these options in order.\n   |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 7 - 10).\n   |- The departure day of Paris is Day 7. The arrival day of Istanbul is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Paris].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Paris to Istanbul.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Amsterdam to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 7 - 10).\n   |- The departure day of Venice is Day 7. The arrival day of Istanbul is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Amsterdam, Venice].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Dubrovnik (Day 19 - 20).\n     |- The departure day of Istanbul is Day 10. The arrival day of Dubrovnik is Day 19. Day 10 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Venice, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Mykonos, Tallinn, Helsinki, Munich, Split] and explore these options in order.\n       |- Try arranging to visit Paris from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 19 - 20).\n       |- The departure day of Paris is Day 13. The arrival day of Dubrovnik is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Amsterdam, Venice, Istanbul, Paris].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Helsinki, Munich, Split] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Paris to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Paris to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Helsinki from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Paris to Helsinki.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 19 - 20).\n         |- The departure day of Helsinki is Day 15. The arrival day of Dubrovnik is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Amsterdam, Venice, Istanbul, Paris, Helsinki].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Munich, Split] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Helsinki to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Munich from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Helsinki to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 19 - 20).\n           |- The departure day of Munich is Day 17. The arrival day of Dubrovnik is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Amsterdam, Venice, Istanbul, Paris, Helsinki, Munich].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Split] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Munich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Dubrovnik (Day 19 - 20).\n             |- The departure day of Mykonos is Day 20. The arrival day of Dubrovnik is Day 19. Day 20 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Munich to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Munich to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Helsinki to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Paris to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 19 - 20).\n         |- The departure day of Munich is Day 15. The arrival day of Dubrovnik is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Amsterdam, Venice, Istanbul, Paris, Munich].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Helsinki, Split] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Munich to Mykonos.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dubrovnik (Day 19 - 20).\n           |- The departure day of Mykonos is Day 18. The arrival day of Dubrovnik is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, Venice, Istanbul, Paris, Munich, Mykonos].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Tallinn, Helsinki, Split] and explore these options in order.\n             |- Try arranging to visit Tallinn from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Mykonos to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Mykonos to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Mykonos to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n           |- Check for direct flight from Munich to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Munich to Helsinki.\n           |- No. Drop this branch.\n           |- Try arranging to visit Split from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Munich to Split.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Split from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Paris to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 19 - 20).\n         |- The departure day of Split is Day 14. The arrival day of Dubrovnik is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Amsterdam, Venice, Istanbul, Paris, Split].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Helsinki, Munich] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Split to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Split to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 19 - 20).\n           |- The departure day of Helsinki is Day 16. The arrival day of Dubrovnik is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Venice, Istanbul, Paris, Split, Helsinki].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Munich] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Helsinki to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Helsinki to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Helsinki to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 20).\n             |- The departure day of Munich is Day 18. The arrival day of Dubrovnik is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Amsterdam, Venice, Istanbul, Paris, Split, Helsinki, Munich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Munich to Mykonos.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dubrovnik (Day 19 - 20).\n               |- The departure day of Mykonos is Day 21. The arrival day of Dubrovnik is Day 19. Day 21 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Munich to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Munich from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Split to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 19 - 20).\n           |- The departure day of Munich is Day 16. The arrival day of Dubrovnik is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Venice, Istanbul, Paris, Split, Munich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Tallinn, Helsinki] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Munich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 20).\n             |- The departure day of Mykonos is Day 19. The arrival day of Dubrovnik is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Venice, Istanbul, Paris, Split, Munich, Mykonos].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Mykonos to Dubrovnik.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Munich to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Munich to Helsinki.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Mykonos from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Mykonos.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Istanbul to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 19 - 20).\n       |- The departure day of Tallinn is Day 13. The arrival day of Dubrovnik is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Amsterdam, Venice, Istanbul, Tallinn].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Paris, Mykonos, Helsinki, Munich, Split] and explore these options in order.\n         |- Try arranging to visit Paris from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Tallinn to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Dubrovnik (Day 19 - 20).\n         |- The departure day of Paris is Day 16. The arrival day of Dubrovnik is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Helsinki, Munich, Split] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Paris to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Helsinki from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Paris to Helsinki.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 20).\n           |- The departure day of Helsinki is Day 18. The arrival day of Dubrovnik is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Helsinki].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Munich, Split] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Helsinki to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Munich from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Helsinki to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dubrovnik (Day 19 - 20).\n             |- The departure day of Munich is Day 20. The arrival day of Dubrovnik is Day 19. Day 20 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Helsinki to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Munich from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Paris to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 20).\n           |- The departure day of Munich is Day 18. The arrival day of Dubrovnik is Day 19. Day 18 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Helsinki, Split] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Munich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dubrovnik (Day 19 - 20).\n             |- The departure day of Mykonos is Day 21. The arrival day of Dubrovnik is Day 19. Day 21 is later than (>) Day 19. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Munich to Helsinki.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n             |- Check for direct flight from Munich to Split.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Split from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Paris to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dubrovnik (Day 19 - 20).\n           |- The departure day of Split is Day 17. The arrival day of Dubrovnik is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Split].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Helsinki, Munich] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Split to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Helsinki from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Split to Helsinki.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Dubrovnik (Day 19 - 20).\n             |- The departure day of Helsinki is Day 19. The arrival day of Dubrovnik is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Split, Helsinki].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Dubrovnik.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n               |- Check for direct flight from Helsinki to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Split, Helsinki, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Munich] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                 |- Check for direct flight from Dubrovnik to Mykonos.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Munich from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Dubrovnik to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Split, Helsinki, Dubrovnik, Munich].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                   |- Check for direct flight from Munich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Amsterdam, Venice, Istanbul, Tallinn, Paris, Split, Helsinki, Dubrovnik, Munich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Amsterdam and visit Amsterdam for 4 days.\n**Day 4:** Fly from Amsterdam to Venice.\n**Day 4-7:** Visit Venice for 4 days.\n**Day 7:** Fly from Venice to Istanbul.\n**Day 7-10:** Visit Istanbul for 4 days.\n**Day 10:** Fly from Istanbul to Tallinn.\n**Day 10-13:** Visit Tallinn for 4 days.\n**Day 13:** Fly from Tallinn to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Split.\n**Day 16-17:** Visit Split for 2 days.\n**Day 17:** Fly from Split to Helsinki.\n**Day 17-19:** Visit Helsinki for 3 days.\n**Day 19:** Fly from Helsinki to Dubrovnik.\n**Day 19-20:** Visit Dubrovnik for 2 days.\n**Day 20:** Fly from Dubrovnik to Munich.\n**Day 20-22:** Visit Munich for 3 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-25:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Rome**Copenhagen**Krakow**Warsaw**Riga**Amsterdam**Geneva**Split**Lyon",
    "ground_truth_durations": "4**4**5**5**5**5**4**2**2**2",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 28,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 15,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 1,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Split"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Riga"
      ],
      [
        "Venice",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Amsterdam"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Riga",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Split"
      ],
      [
        "Copenhagen",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Geneva"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Geneva",
        "Split"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Krakow",
        "Amsterdam"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Amsterdam",
        "Geneva"
      ],
      [
        "Warsaw",
        "Geneva"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Venice",
        "Warsaw"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Warsaw",
        "Split"
      ],
      [
        "Amsterdam",
        "Lyon"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You plan to stay in Geneva for 2 days. You want to spend 5 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 7 and day 11. You would like to visit Rome for 4 days. You want to spend 2 days in Lyon. You plan to visit relatives in Lyon between day 28 and day 29. You want to spend 5 days in Riga. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 15 and day 19. You want to spend 4 days in Amsterdam. You would like to visit Krakow for 5 days. During day 11 and day 15, you have to attend a conference in Krakow. You would like to visit Venice for 4 days. From day 1 to day 4, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nRome and Amsterdam, Krakow and Split, Split and Lyon, Venice and Rome, Venice and Amsterdam, Warsaw and Riga, Venice and Lyon, Copenhagen and Amsterdam, Venice and Copenhagen, Riga and Amsterdam, Copenhagen and Krakow, Rome and Geneva, from Rome to Riga, Rome and Split, Copenhagen and Warsaw, Copenhagen and Geneva, Rome and Lyon, Geneva and Split, Krakow and Warsaw, Amsterdam and Split, Warsaw and Amsterdam, Krakow and Amsterdam, Copenhagen and Riga, Amsterdam and Geneva, Warsaw and Geneva, Rome and Copenhagen, Rome and Warsaw, Venice and Warsaw, Copenhagen and Split, Warsaw and Split, Amsterdam and Lyon.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Split for 2 days. You plan to stay in Geneva for 2 days. You want to spend 5 days in Copenhagen. You are going to attend a wedding in Copenhagen between day 7 and day 11. You would like to visit Rome for 4 days. You want to spend 2 days in Lyon. You plan to visit relatives in Lyon between day 28 and day 29. You want to spend 5 days in Riga. You plan to stay in Warsaw for 5 days. You want to meet a friend in Warsaw between day 15 and day 19. You want to spend 4 days in Amsterdam. You would like to visit Krakow for 5 days. During day 11 and day 15, you have to attend a conference in Krakow. You would like to visit Venice for 4 days. From day 1 to day 4, there is a annual show you want to attend in Venice.\n\nHere are the cities that have direct flights:\nfrom Rome to Amsterdam, from Krakow to Split, from Split to Lyon, from Venice to Rome, from Venice to Amsterdam, from Warsaw to Riga, from Venice to Lyon, from Copenhagen to Amsterdam, from Venice to Copenhagen, from Riga to Amsterdam, from Copenhagen to Krakow, from Rome to Geneva, from Rome to Riga, from Rome to Split, from Copenhagen to Warsaw, from Copenhagen to Geneva, from Rome to Lyon, from Geneva to Split, from Krakow to Warsaw, from Amsterdam to Split, from Warsaw to Amsterdam, from Krakow to Amsterdam, from Copenhagen to Riga, from Amsterdam to Geneva, from Warsaw to Geneva, from Rome to Copenhagen, from Rome to Warsaw, from Venice to Warsaw, from Copenhagen to Split, from Warsaw to Split, from Amsterdam to Lyon.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Copenhagen.\n**Day 7-11:** Visit Copenhagen for 5 days.\n**Day 11:** Fly from Copenhagen to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Warsaw.\n**Day 15-19:** Visit Warsaw for 5 days.\n**Day 19:** Fly from Warsaw to Riga.\n**Day 19-23:** Visit Riga for 5 days.\n**Day 23:** Fly from Riga to Amsterdam.\n**Day 23-26:** Visit Amsterdam for 4 days.\n**Day 26:** Fly from Amsterdam to Geneva.\n**Day 26-27:** Visit Geneva for 2 days.\n**Day 27:** Fly from Geneva to Split.\n**Day 27-28:** Visit Split for 2 days.\n**Day 28:** Fly from Split to Lyon.\n**Day 28-29:** Visit Lyon for 2 days.",
    "id": "trip_planning_example_1558",
    "estimated_output_tokens": 3977,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Rome, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 28 - 29.\n* City: Riga, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 15 - 19.\n* City: Amsterdam, Duration: 4 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Venice, Fixed Schedule: Day 1 - 4.\n* City: Copenhagen, Fixed Schedule: Day 7 - 11.\n* City: Krakow, Fixed Schedule: Day 11 - 15.\n* City: Warsaw, Fixed Schedule: Day 15 - 19.\n* City: Lyon, Fixed Schedule: Day 28 - 29.\n\nCities needing arrangement:\n* City: Split, Duration: 2 days.\n* City: Geneva, Duration: 2 days.\n* City: Rome, Duration: 4 days.\n* City: Riga, Duration: 5 days.\n* City: Amsterdam, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Venice.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Copenhagen (Day 7 - 11).\n |- The departure day of Venice is Day 4. The arrival day of Copenhagen is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Rome, Riga, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Split from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Venice to Geneva.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Venice to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Copenhagen (Day 7 - 11).\n   |- The departure day of Rome is Day 7. The arrival day of Copenhagen is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Venice, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Copenhagen.\n     |- Try arranging to visit Copenhagen from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Rome to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Krakow (Day 11 - 15).\n     |- The departure day of Copenhagen is Day 11. The arrival day of Krakow is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Venice, Rome, Copenhagen].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Krakow.\n       |- Try arranging to visit Krakow from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Copenhagen to Krakow.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Warsaw (Day 15 - 19).\n       |- The departure day of Krakow is Day 15. The arrival day of Warsaw is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Venice, Rome, Copenhagen, Krakow].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Warsaw.\n         |- Try arranging to visit Warsaw from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n         |- Check for direct flight from Krakow to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Lyon (Day 28 - 29).\n         |- The departure day of Warsaw is Day 19. The arrival day of Lyon is Day 28. Day 19 is not later than (<=) Day 28. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Riga, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Split from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Warsaw to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lyon (Day 28 - 29).\n           |- The departure day of Split is Day 20. The arrival day of Lyon is Day 28. Day 20 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Split].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Geneva, Riga, Amsterdam] and explore these options in order.\n             |- Try arranging to visit Geneva from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Split to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Riga from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Split to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Split to Amsterdam.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Geneva from Day 19. Duration: 2 days. Schedule: Day 19 - 20.\n           |- Check for direct flight from Warsaw to Geneva.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lyon (Day 28 - 29).\n           |- The departure day of Geneva is Day 20. The arrival day of Lyon is Day 28. Day 20 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Geneva].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Riga, Amsterdam] and explore these options in order.\n             |- Try arranging to visit Split from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Geneva to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Lyon (Day 28 - 29).\n             |- The departure day of Split is Day 21. The arrival day of Lyon is Day 28. Day 21 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Geneva, Split].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Amsterdam] and explore these options in order.\n               |- Try arranging to visit Riga from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Split to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Amsterdam from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Split to Amsterdam.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Riga from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Geneva to Riga.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Geneva to Amsterdam.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Riga from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Warsaw to Riga.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Lyon (Day 28 - 29).\n           |- The departure day of Riga is Day 23. The arrival day of Lyon is Day 28. Day 23 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 23. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga].\n            |- Check whether the city with an arrival day of Day 23 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Split, Geneva, Amsterdam] and explore these options in order.\n             |- Try arranging to visit Split from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n             |- Check for direct flight from Riga to Split.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n             |- Check for direct flight from Riga to Geneva.\n             |- No. Drop this branch.\n             |- Try arranging to visit Amsterdam from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n             |- Check for direct flight from Riga to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Lyon (Day 28 - 29).\n             |- The departure day of Amsterdam is Day 26. The arrival day of Lyon is Day 28. Day 26 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 26. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga, Amsterdam].\n              |- Check whether the city with an arrival day of Day 26 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Geneva] and explore these options in order.\n               |- Try arranging to visit Split from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n               |- Check for direct flight from Amsterdam to Split.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Lyon (Day 28 - 29).\n               |- The departure day of Split is Day 27. The arrival day of Lyon is Day 28. Day 27 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga, Amsterdam, Split].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                 |- Check for direct flight from Split to Geneva.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Geneva from Day 26. Duration: 2 days. Schedule: Day 26 - 27.\n               |- Check for direct flight from Amsterdam to Geneva.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: Lyon (Day 28 - 29).\n               |- The departure day of Geneva is Day 27. The arrival day of Lyon is Day 28. Day 27 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga, Amsterdam, Geneva].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                 |- Check for direct flight from Geneva to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: Lyon (Day 28 - 29).\n                 |- The departure day of Split is Day 28. The arrival day of Lyon is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga, Amsterdam, Geneva, Split].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Lyon.\n                   |- Try arranging to visit Lyon from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                   |- Check for direct flight from Split to Lyon.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Venice, Rome, Copenhagen, Krakow, Warsaw, Riga, Amsterdam, Geneva, Split, Lyon].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Venice and visit Venice for 4 days.\n**Day 4:** Fly from Venice to Rome.\n**Day 4-7:** Visit Rome for 4 days.\n**Day 7:** Fly from Rome to Copenhagen.\n**Day 7-11:** Visit Copenhagen for 5 days.\n**Day 11:** Fly from Copenhagen to Krakow.\n**Day 11-15:** Visit Krakow for 5 days.\n**Day 15:** Fly from Krakow to Warsaw.\n**Day 15-19:** Visit Warsaw for 5 days.\n**Day 19:** Fly from Warsaw to Riga.\n**Day 19-23:** Visit Riga for 5 days.\n**Day 23:** Fly from Riga to Amsterdam.\n**Day 23-26:** Visit Amsterdam for 4 days.\n**Day 26:** Fly from Amsterdam to Geneva.\n**Day 26-27:** Visit Geneva for 2 days.\n**Day 27:** Fly from Geneva to Split.\n**Day 27-28:** Visit Split for 2 days.\n**Day 28:** Fly from Split to Lyon.\n**Day 28-29:** Visit Lyon for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Prague**Valencia**Lisbon**Seville**Paris**Tallinn**Oslo**Lyon**Nice**Mykonos",
    "ground_truth_durations": "3**2**2**5**4**2**3**4**4**5",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 21,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Lisbon",
        "Paris"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Prague",
        "Lyon"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Lisbon",
        "Seville"
      ],
      [
        "Prague",
        "Lisbon"
      ],
      [
        "Oslo",
        "Nice"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Valencia",
        "Lisbon"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Prague",
        "Paris"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Oslo",
        "Lyon"
      ],
      [
        "Prague",
        "Valencia"
      ],
      [
        "Lisbon",
        "Nice"
      ],
      [
        "Lisbon",
        "Oslo"
      ],
      [
        "Valencia",
        "Seville"
      ],
      [
        "Lisbon",
        "Lyon"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Prague",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 2 days. You would like to meet your friends at Valencia between day 3 and day 4 to tour together. You plan to stay in Oslo for 3 days. You want to meet a friend in Oslo between day 13 and day 15. You would like to visit Lyon for 4 days. You would like to visit Prague for 3 days. You plan to stay in Paris for 4 days. You want to spend 4 days in Nice. You plan to stay in Seville for 5 days. From day 5 to day 9, there is a annual show you want to attend in Seville. You want to spend 2 days in Tallinn. You plan to stay in Mykonos for 5 days. You are going to attend a wedding in Mykonos between day 21 and day 25. You would like to visit Lisbon for 2 days.\n\nHere are the cities that have direct flights:\nLisbon and Paris, Lyon and Nice, Tallinn and Oslo, Prague and Lyon, Paris and Oslo, Lisbon and Seville, Prague and Lisbon, Oslo and Nice, Valencia and Paris, Valencia and Lisbon, Paris and Nice, Nice and Mykonos, Paris and Lyon, Valencia and Lyon, Prague and Oslo, Prague and Paris, Seville and Paris, Oslo and Lyon, Prague and Valencia, Lisbon and Nice, Lisbon and Oslo, Valencia and Seville, Lisbon and Lyon, Paris and Tallinn, Prague and Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Valencia for 2 days. You would like to meet your friends at Valencia between day 3 and day 4 to tour together. You plan to stay in Oslo for 3 days. You want to meet a friend in Oslo between day 13 and day 15. You would like to visit Lyon for 4 days. You would like to visit Prague for 3 days. You plan to stay in Paris for 4 days. You want to spend 4 days in Nice. You plan to stay in Seville for 5 days. From day 5 to day 9, there is a annual show you want to attend in Seville. You want to spend 2 days in Tallinn. You plan to stay in Mykonos for 5 days. You are going to attend a wedding in Mykonos between day 21 and day 25. You would like to visit Lisbon for 2 days.\n\nHere are the cities that have direct flights:\nfrom Lisbon to Paris, from Lyon to Nice, from Tallinn to Oslo, from Prague to Lyon, from Paris to Oslo, from Lisbon to Seville, from Prague to Lisbon, from Oslo to Nice, from Valencia to Paris, from Valencia to Lisbon, from Paris to Nice, from Nice to Mykonos, from Paris to Lyon, from Valencia to Lyon, from Prague to Oslo, from Prague to Paris, from Seville to Paris, from Oslo to Lyon, from Prague to Valencia, from Lisbon to Nice, from Lisbon to Oslo, from Valencia to Seville, from Lisbon to Lyon, from Paris to Tallinn, from Prague to Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Valencia.\n**Day 3-4:** Visit Valencia for 2 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Seville.\n**Day 5-9:** Visit Seville for 5 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-12:** Visit Paris for 4 days.\n**Day 12:** Fly from Paris to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Mykonos.\n**Day 21-25:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1559",
    "estimated_output_tokens": 3276,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Valencia, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Oslo, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Lyon, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n* City: Seville, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Tallinn, Duration: 2 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n* City: Lisbon, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Valencia, Fixed Schedule: Day 3 - 4.\n* City: Seville, Fixed Schedule: Day 5 - 9.\n* City: Oslo, Fixed Schedule: Day 13 - 15.\n* City: Mykonos, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Lyon, Duration: 4 days.\n* City: Prague, Duration: 3 days.\n* City: Paris, Duration: 4 days.\n* City: Nice, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Lisbon, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Prague, Paris, Nice, Tallinn, Lisbon] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 4).\n |- The departure day of Lyon is Day 4. The arrival day of Valencia is Day 3. Day 4 is later than (>) Day 3. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 3 - 4).\n |- The departure day of Prague is Day 3. The arrival day of Valencia is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Valencia.\n   |- Try arranging to visit Valencia from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Prague to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Seville (Day 5 - 9).\n   |- The departure day of Valencia is Day 4. The arrival day of Seville is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Prague, Valencia].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Nice, Tallinn, Lisbon] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 5 - 9).\n     |- The departure day of Lyon is Day 7. The arrival day of Seville is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 5 - 9).\n     |- The departure day of Paris is Day 7. The arrival day of Seville is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Nice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Valencia to Nice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Valencia to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Seville (Day 5 - 9).\n     |- The departure day of Lisbon is Day 5. The arrival day of Seville is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Prague, Valencia, Lisbon].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Seville.\n       |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Lisbon to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Oslo (Day 13 - 15).\n       |- The departure day of Seville is Day 9. The arrival day of Oslo is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Prague, Valencia, Lisbon, Seville].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Nice, Tallinn] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Seville to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Seville to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Oslo (Day 13 - 15).\n         |- The departure day of Paris is Day 12. The arrival day of Oslo is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Prague, Valencia, Lisbon, Seville, Paris].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Lyon, Nice, Tallinn] and explore these options in order.\n           |- Try arranging to visit Lyon from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Paris to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 13 - 15).\n           |- The departure day of Lyon is Day 15. The arrival day of Oslo is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Nice from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Paris to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 13 - 15).\n           |- The departure day of Nice is Day 15. The arrival day of Oslo is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Paris to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Oslo (Day 13 - 15).\n           |- The departure day of Tallinn is Day 13. The arrival day of Oslo is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Prague, Valencia, Lisbon, Seville, Paris, Tallinn].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Oslo.\n             |- Try arranging to visit Oslo from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n             |- Check for direct flight from Tallinn to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Mykonos (Day 21 - 25).\n             |- The departure day of Oslo is Day 15. The arrival day of Mykonos is Day 21. Day 15 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Prague, Valencia, Lisbon, Seville, Paris, Tallinn, Oslo].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Lyon, Nice] and explore these options in order.\n               |- Try arranging to visit Lyon from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Oslo to Lyon.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Mykonos (Day 21 - 25).\n               |- The departure day of Lyon is Day 18. The arrival day of Mykonos is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Prague, Valencia, Lisbon, Seville, Paris, Tallinn, Oslo, Lyon].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n                 |- Try arranging to visit Nice from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Lyon to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Mykonos (Day 21 - 25).\n                 |- The departure day of Nice is Day 21. The arrival day of Mykonos is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Prague, Valencia, Lisbon, Seville, Paris, Tallinn, Oslo, Lyon, Nice].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Mykonos.\n                   |- Try arranging to visit Mykonos from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                   |- Check for direct flight from Nice to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Prague, Valencia, Lisbon, Seville, Paris, Tallinn, Oslo, Lyon, Nice, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Prague and visit Prague for 3 days.\n**Day 3:** Fly from Prague to Valencia.\n**Day 3-4:** Visit Valencia for 2 days.\n**Day 4:** Fly from Valencia to Lisbon.\n**Day 4-5:** Visit Lisbon for 2 days.\n**Day 5:** Fly from Lisbon to Seville.\n**Day 5-9:** Visit Seville for 5 days.\n**Day 9:** Fly from Seville to Paris.\n**Day 9-12:** Visit Paris for 4 days.\n**Day 12:** Fly from Paris to Tallinn.\n**Day 12-13:** Visit Tallinn for 2 days.\n**Day 13:** Fly from Tallinn to Oslo.\n**Day 13-15:** Visit Oslo for 3 days.\n**Day 15:** Fly from Oslo to Lyon.\n**Day 15-18:** Visit Lyon for 4 days.\n**Day 18:** Fly from Lyon to Nice.\n**Day 18-21:** Visit Nice for 4 days.\n**Day 21:** Fly from Nice to Mykonos.\n**Day 21-25:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Istanbul**Nice**Mykonos**Budapest**Stuttgart**Split**Vilnius**Frankfurt**Dubrovnik",
    "ground_truth_durations": "3**4**4**2**5**2**3**4**3**2",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Nice"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Nice",
        "Budapest"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Brussels",
        "Budapest"
      ],
      [
        "Split",
        "Vilnius"
      ],
      [
        "Istanbul",
        "Budapest"
      ],
      [
        "Mykonos",
        "Budapest"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Mykonos. You plan to visit relatives in Mykonos between day 9 and day 10. You would like to visit Istanbul for 4 days. You plan to stay in Stuttgart for 2 days. You plan to stay in Split for 3 days. You would like to visit Dubrovnik for 2 days. You want to spend 4 days in Nice. You want to meet a friend in Nice between day 6 and day 9. You want to spend 3 days in Frankfurt. You want to spend 3 days in Brussels. From day 1 to day 3, there is a annual show you want to attend in Brussels.\n\nHere are the cities that have direct flights:\nIstanbul and Nice, Budapest and Frankfurt, Brussels and Nice, Split and Frankfurt, Stuttgart and Frankfurt, Istanbul and Frankfurt, Nice and Budapest, Istanbul and Stuttgart, Budapest and Stuttgart, Brussels and Vilnius, Nice and Mykonos, from Brussels to Frankfurt, Frankfurt and Dubrovnik, Brussels and Istanbul, Nice and Frankfurt, Stuttgart and Split, Vilnius and Frankfurt, Istanbul and Vilnius, from Dubrovnik to Istanbul, Brussels and Budapest, Split and Vilnius, Istanbul and Budapest, Mykonos and Budapest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Budapest. You plan to stay in Vilnius for 4 days. You want to spend 2 days in Mykonos. You plan to visit relatives in Mykonos between day 9 and day 10. You would like to visit Istanbul for 4 days. You plan to stay in Stuttgart for 2 days. You plan to stay in Split for 3 days. You would like to visit Dubrovnik for 2 days. You want to spend 4 days in Nice. You want to meet a friend in Nice between day 6 and day 9. You want to spend 3 days in Frankfurt. You want to spend 3 days in Brussels. From day 1 to day 3, there is a annual show you want to attend in Brussels.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Nice, from Budapest to Frankfurt, from Brussels to Nice, from Split to Frankfurt, from Stuttgart to Frankfurt, from Istanbul to Frankfurt, from Nice to Budapest, from Istanbul to Stuttgart, from Budapest to Stuttgart, from Brussels to Vilnius, from Nice to Mykonos, from Brussels to Frankfurt, from Frankfurt to Dubrovnik, from Brussels to Istanbul, from Nice to Frankfurt, from Stuttgart to Split, from Vilnius to Frankfurt, from Istanbul to Vilnius, from Dubrovnik to Istanbul, from Brussels to Budapest, from Split to Vilnius, from Istanbul to Budapest, from Mykonos to Budapest.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Nice.\n**Day 6-9:** Visit Nice for 4 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Budapest.\n**Day 10-14:** Visit Budapest for 5 days.\n**Day 14:** Fly from Budapest to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n**Day 20:** Fly from Vilnius to Frankfurt.\n**Day 20-22:** Visit Frankfurt for 3 days.\n**Day 22:** Fly from Frankfurt to Dubrovnik.\n**Day 22-23:** Visit Dubrovnik for 2 days.",
    "id": "trip_planning_example_1560",
    "estimated_output_tokens": 2912,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Istanbul, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Nice, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Frankfurt, Duration: 3 days.\n* City: Brussels, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Brussels, Fixed Schedule: Day 1 - 3.\n* City: Nice, Fixed Schedule: Day 6 - 9.\n* City: Mykonos, Fixed Schedule: Day 9 - 10.\n\nCities needing arrangement:\n* City: Budapest, Duration: 5 days.\n* City: Vilnius, Duration: 4 days.\n* City: Istanbul, Duration: 4 days.\n* City: Stuttgart, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Dubrovnik, Duration: 2 days.\n* City: Frankfurt, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Brussels.\n |- Try arranging to visit Brussels from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 6 - 9).\n |- The departure day of Brussels is Day 3. The arrival day of Nice is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Vilnius, Istanbul, Stuttgart, Split, Dubrovnik, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Brussels to Budapest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 6 - 9).\n   |- The departure day of Budapest is Day 7. The arrival day of Nice is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Brussels to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 6 - 9).\n   |- The departure day of Vilnius is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Nice.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Brussels to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Nice (Day 6 - 9).\n   |- The departure day of Istanbul is Day 6. The arrival day of Nice is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Brussels, Istanbul].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Nice.\n     |- Try arranging to visit Nice from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Istanbul to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Mykonos (Day 9 - 10).\n     |- The departure day of Nice is Day 9. The arrival day of Mykonos is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Brussels, Istanbul, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Mykonos.\n       |- Try arranging to visit Mykonos from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Nice to Mykonos.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: None.\n       |- No following fixed schedules. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Brussels, Istanbul, Nice, Mykonos].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Budapest, Vilnius, Stuttgart, Split, Dubrovnik, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Budapest from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Mykonos to Budapest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n         |- No following fixed schedules. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Vilnius, Stuttgart, Split, Dubrovnik, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Vilnius from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Budapest to Vilnius.\n           |- No. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Budapest to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest, Stuttgart].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Vilnius, Split, Dubrovnik, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Stuttgart to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Split from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n             |- Check for direct flight from Stuttgart to Split.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest, Stuttgart, Split].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Dubrovnik, Frankfurt] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Split to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest, Stuttgart, Split, Vilnius].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt] and explore these options in order.\n                 |- Try arranging to visit Dubrovnik from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n                 |- Check for direct flight from Vilnius to Dubrovnik.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Frankfurt from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Vilnius to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest, Stuttgart, Split, Vilnius, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                   |- Check for direct flight from Frankfurt to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Brussels, Istanbul, Nice, Mykonos, Budapest, Stuttgart, Split, Vilnius, Frankfurt, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Brussels and visit Brussels for 3 days.\n**Day 3:** Fly from Brussels to Istanbul.\n**Day 3-6:** Visit Istanbul for 4 days.\n**Day 6:** Fly from Istanbul to Nice.\n**Day 6-9:** Visit Nice for 4 days.\n**Day 9:** Fly from Nice to Mykonos.\n**Day 9-10:** Visit Mykonos for 2 days.\n**Day 10:** Fly from Mykonos to Budapest.\n**Day 10-14:** Visit Budapest for 5 days.\n**Day 14:** Fly from Budapest to Stuttgart.\n**Day 14-15:** Visit Stuttgart for 2 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-17:** Visit Split for 3 days.\n**Day 17:** Fly from Split to Vilnius.\n**Day 17-20:** Visit Vilnius for 4 days.\n**Day 20:** Fly from Vilnius to Frankfurt.\n**Day 20-22:** Visit Frankfurt for 3 days.\n**Day 22:** Fly from Frankfurt to Dubrovnik.\n**Day 22-23:** Visit Dubrovnik for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Istanbul**Vilnius**Zurich**Reykjavik**Nice**Edinburgh**Krakow**Valencia**Frankfurt**Manchester",
    "ground_truth_durations": "5**2**3**4**2**4**2**3**4**3",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 18,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Krakow"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Istanbul",
        "Manchester"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Nice",
        "Edinburgh"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Istanbul",
        "Valencia"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Nice",
        "Manchester"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Manchester"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Nice"
      ],
      [
        "Istanbul",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vilnius. You have to attend a workshop in Vilnius between day 5 and day 6. You plan to stay in Krakow for 2 days. You would like to meet your friends at Krakow between day 15 and day 16 to tour together. You want to spend 3 days in Manchester. You plan to visit relatives in Manchester between day 21 and day 23. You would like to visit Istanbul for 5 days. You would like to visit Frankfurt for 4 days. During day 18 and day 21, you have to attend a conference in Frankfurt. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Zurich. You want to spend 2 days in Nice. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 8 and day 11. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nIstanbul and Krakow, Zurich and Frankfurt, Zurich and Edinburgh, Istanbul and Nice, Istanbul and Manchester, Zurich and Krakow, Nice and Edinburgh, Zurich and Manchester, Zurich and Valencia, Krakow and Valencia, Istanbul and Valencia, Krakow and Manchester, Edinburgh and Frankfurt, Nice and Frankfurt, Edinburgh and Krakow, Nice and Manchester, Istanbul and Edinburgh, Frankfurt and Manchester, Istanbul and Zurich, from Krakow to Vilnius, Vilnius and Zurich, Reykjavik and Frankfurt, Krakow and Frankfurt, Reykjavik and Nice, Zurich and Reykjavik, Valencia and Frankfurt, Zurich and Nice, Istanbul and Vilnius, Vilnius and Frankfurt, Istanbul and Frankfurt.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Vilnius. You have to attend a workshop in Vilnius between day 5 and day 6. You plan to stay in Krakow for 2 days. You would like to meet your friends at Krakow between day 15 and day 16 to tour together. You want to spend 3 days in Manchester. You plan to visit relatives in Manchester between day 21 and day 23. You would like to visit Istanbul for 5 days. You would like to visit Frankfurt for 4 days. During day 18 and day 21, you have to attend a conference in Frankfurt. You would like to visit Edinburgh for 4 days. You want to spend 3 days in Zurich. You want to spend 2 days in Nice. You want to spend 4 days in Reykjavik. You want to meet a friend in Reykjavik between day 8 and day 11. You would like to visit Valencia for 3 days.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Krakow, from Zurich to Frankfurt, from Zurich to Edinburgh, from Istanbul to Nice, from Istanbul to Manchester, from Zurich to Krakow, from Nice to Edinburgh, from Zurich to Manchester, from Zurich to Valencia, from Krakow to Valencia, from Istanbul to Valencia, from Krakow to Manchester, from Edinburgh to Frankfurt, from Nice to Frankfurt, from Edinburgh to Krakow, from Nice to Manchester, from Istanbul to Edinburgh, from Frankfurt to Manchester, from Istanbul to Zurich, from Krakow to Vilnius, from Vilnius to Zurich, from Reykjavik to Frankfurt, from Krakow to Frankfurt, from Reykjavik to Nice, from Zurich to Reykjavik, from Valencia to Frankfurt, from Zurich to Nice, from Istanbul to Vilnius, from Vilnius to Frankfurt, from Istanbul to Frankfurt.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Nice.\n**Day 11-12:** Visit Nice for 2 days.\n**Day 12:** Fly from Nice to Edinburgh.\n**Day 12-15:** Visit Edinburgh for 4 days.\n**Day 15:** Fly from Edinburgh to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to Valencia.\n**Day 16-18:** Visit Valencia for 3 days.\n**Day 18:** Fly from Valencia to Frankfurt.\n**Day 18-21:** Visit Frankfurt for 4 days.\n**Day 21:** Fly from Frankfurt to Manchester.\n**Day 21-23:** Visit Manchester for 3 days.",
    "id": "trip_planning_example_1561",
    "estimated_output_tokens": 2731,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Manchester, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Istanbul, Duration: 5 days.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 18 - 21.\n* City: Edinburgh, Duration: 4 days.\n* City: Zurich, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Valencia, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vilnius, Fixed Schedule: Day 5 - 6.\n* City: Reykjavik, Fixed Schedule: Day 8 - 11.\n* City: Krakow, Fixed Schedule: Day 15 - 16.\n* City: Frankfurt, Fixed Schedule: Day 18 - 21.\n* City: Manchester, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Istanbul, Duration: 5 days.\n* City: Edinburgh, Duration: 4 days.\n* City: Zurich, Duration: 3 days.\n* City: Nice, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Istanbul, Edinburgh, Zurich, Nice, Valencia] and explore these options in order.\n |- Try arranging to visit Istanbul from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vilnius (Day 5 - 6).\n |- The departure day of Istanbul is Day 5. The arrival day of Vilnius is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vilnius.\n   |- Try arranging to visit Vilnius from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Istanbul to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Reykjavik (Day 8 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Reykjavik is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Istanbul, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Edinburgh, Zurich, Nice, Valencia] and explore these options in order.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vilnius to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Reykjavik (Day 8 - 11).\n     |- The departure day of Zurich is Day 8. The arrival day of Reykjavik is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Istanbul, Vilnius, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Reykjavik.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Krakow (Day 15 - 16).\n       |- The departure day of Reykjavik is Day 11. The arrival day of Krakow is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Edinburgh, Nice, Valencia] and explore these options in order.\n         |- Try arranging to visit Edinburgh from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Reykjavik to Edinburgh.\n         |- No. Drop this branch.\n         |- Try arranging to visit Nice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Reykjavik to Nice.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Krakow (Day 15 - 16).\n         |- The departure day of Nice is Day 12. The arrival day of Krakow is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Valencia] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Nice to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Krakow (Day 15 - 16).\n           |- The departure day of Edinburgh is Day 15. The arrival day of Krakow is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice, Edinburgh].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Krakow.\n             |- Try arranging to visit Krakow from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Edinburgh to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 18 - 21).\n             |- The departure day of Krakow is Day 16. The arrival day of Frankfurt is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice, Edinburgh, Krakow].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Krakow to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 18 - 21).\n               |- The departure day of Valencia is Day 18. The arrival day of Frankfurt is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice, Edinburgh, Krakow, Valencia].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- Yes. The city with an arrival day of Day 18 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Valencia to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Manchester (Day 21 - 23).\n                 |- The departure day of Frankfurt is Day 21. The arrival day of Manchester is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice, Edinburgh, Krakow, Valencia, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Manchester.\n                   |- Try arranging to visit Manchester from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                   |- Check for direct flight from Frankfurt to Manchester.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Istanbul, Vilnius, Zurich, Reykjavik, Nice, Edinburgh, Krakow, Valencia, Frankfurt, Manchester].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Istanbul and visit Istanbul for 5 days.\n**Day 5:** Fly from Istanbul to Vilnius.\n**Day 5-6:** Visit Vilnius for 2 days.\n**Day 6:** Fly from Vilnius to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Reykjavik.\n**Day 8-11:** Visit Reykjavik for 4 days.\n**Day 11:** Fly from Reykjavik to Nice.\n**Day 11-12:** Visit Nice for 2 days.\n**Day 12:** Fly from Nice to Edinburgh.\n**Day 12-15:** Visit Edinburgh for 4 days.\n**Day 15:** Fly from Edinburgh to Krakow.\n**Day 15-16:** Visit Krakow for 2 days.\n**Day 16:** Fly from Krakow to Valencia.\n**Day 16-18:** Visit Valencia for 3 days.\n**Day 18:** Fly from Valencia to Frankfurt.\n**Day 18-21:** Visit Frankfurt for 4 days.\n**Day 21:** Fly from Frankfurt to Manchester.\n**Day 21-23:** Visit Manchester for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Amsterdam**Stockholm**Reykjavik**London**Valencia**Zurich**Dubrovnik**Manchester**Warsaw**Tallinn",
    "ground_truth_durations": "3**4**3**3**3**5**5**4**4**5",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "London",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Valencia",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Manchester",
        "Warsaw"
      ],
      [
        "Dubrovnik",
        "Manchester"
      ],
      [
        "London",
        "Warsaw"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Reykjavik",
        "London"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Warsaw"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Zurich",
        "Dubrovnik"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Manchester"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Stockholm",
        "London"
      ],
      [
        "Amsterdam",
        "Zurich"
      ],
      [
        "Stockholm",
        "Reykjavik"
      ],
      [
        "Amsterdam",
        "London"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Stockholm",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You want to spend 3 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 1 and day 3. You would like to visit London for 3 days. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 10 and day 12 to tour together. You want to spend 4 days in Stockholm. You plan to visit relatives in Stockholm between day 3 and day 6. You want to spend 5 days in Dubrovnik. You would like to visit Tallinn for 5 days. You want to spend 5 days in Zurich. You would like to visit Warsaw for 4 days. From day 23 to day 26, there is a annual show you want to attend in Warsaw. You plan to stay in Reykjavik for 3 days.\n\nHere are the cities that have direct flights:\nReykjavik and Zurich, London and Manchester, Amsterdam and Dubrovnik, Valencia and Warsaw, Stockholm and Warsaw, Manchester and Warsaw, Dubrovnik and Manchester, London and Warsaw, Zurich and Manchester, Reykjavik and London, Amsterdam and Tallinn, Amsterdam and Stockholm, Amsterdam and Warsaw, Amsterdam and Valencia, London and Zurich, Zurich and Dubrovnik, London and Valencia, Amsterdam and Manchester, Amsterdam and Reykjavik, Stockholm and Dubrovnik, Reykjavik and Warsaw, Zurich and Tallinn, Warsaw and Tallinn, Zurich and Warsaw, Stockholm and London, Amsterdam and Zurich, Stockholm and Reykjavik, Amsterdam and London, Stockholm and Manchester, Stockholm and Tallinn, Valencia and Zurich, Stockholm and Zurich.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Manchester for 4 days. You want to spend 3 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 1 and day 3. You would like to visit London for 3 days. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 10 and day 12 to tour together. You want to spend 4 days in Stockholm. You plan to visit relatives in Stockholm between day 3 and day 6. You want to spend 5 days in Dubrovnik. You would like to visit Tallinn for 5 days. You want to spend 5 days in Zurich. You would like to visit Warsaw for 4 days. From day 23 to day 26, there is a annual show you want to attend in Warsaw. You plan to stay in Reykjavik for 3 days.\n\nHere are the cities that have direct flights:\nfrom Reykjavik to Zurich, from London to Manchester, from Amsterdam to Dubrovnik, from Valencia to Warsaw, from Stockholm to Warsaw, from Manchester to Warsaw, from Dubrovnik to Manchester, from London to Warsaw, from Zurich to Manchester, from Reykjavik to London, from Amsterdam to Tallinn, from Amsterdam to Stockholm, from Amsterdam to Warsaw, from Amsterdam to Valencia, from London to Zurich, from Zurich to Dubrovnik, from London to Valencia, from Amsterdam to Manchester, from Amsterdam to Reykjavik, from Stockholm to Dubrovnik, from Reykjavik to Warsaw, from Zurich to Tallinn, from Warsaw to Tallinn, from Zurich to Warsaw, from Stockholm to London, from Amsterdam to Zurich, from Stockholm to Reykjavik, from Amsterdam to London, from Stockholm to Manchester, from Stockholm to Tallinn, from Valencia to Zurich, from Stockholm to Zurich.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.\n**Day 20:** Fly from Dubrovnik to Manchester.\n**Day 20-23:** Visit Manchester for 4 days.\n**Day 23:** Fly from Manchester to Warsaw.\n**Day 23-26:** Visit Warsaw for 4 days.\n**Day 26:** Fly from Warsaw to Tallinn.\n**Day 26-30:** Visit Tallinn for 5 days.",
    "id": "trip_planning_example_1562",
    "estimated_output_tokens": 4908,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Manchester, Duration: 4 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: London, Duration: 3 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Stockholm, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Reykjavik, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Amsterdam, Fixed Schedule: Day 1 - 3.\n* City: Stockholm, Fixed Schedule: Day 3 - 6.\n* City: Valencia, Fixed Schedule: Day 10 - 12.\n* City: Warsaw, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Manchester, Duration: 4 days.\n* City: London, Duration: 3 days.\n* City: Dubrovnik, Duration: 5 days.\n* City: Tallinn, Duration: 5 days.\n* City: Zurich, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Amsterdam.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 3 - 6).\n |- The departure day of Amsterdam is Day 3. The arrival day of Stockholm is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Stockholm.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 10 - 12).\n   |- The departure day of Stockholm is Day 6. The arrival day of Valencia is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, Stockholm].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, London, Dubrovnik, Tallinn, Zurich, Reykjavik] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Stockholm to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Manchester is Day 9. The arrival day of Valencia is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Amsterdam, Stockholm, Manchester].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [London, Dubrovnik, Tallinn, Zurich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit London from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Manchester to London.\n       |- No. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Manchester to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Manchester to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit London from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of London is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Stockholm, London].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Tallinn, Zurich, Reykjavik] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from London to Manchester.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 12).\n       |- The departure day of Manchester is Day 11. The arrival day of Valencia is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Dubrovnik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from London to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 12).\n       |- The departure day of Zurich is Day 12. The arrival day of Valencia is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from London to Reykjavik.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Dubrovnik is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Stockholm, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Dubrovnik to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Tallinn is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Stockholm, Tallinn].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Tallinn to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Stockholm to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Zurich is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Amsterdam, Stockholm, Zurich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n       |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Valencia.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Stockholm to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Valencia (Day 10 - 12).\n     |- The departure day of Reykjavik is Day 8. The arrival day of Valencia is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Stockholm, Reykjavik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, London, Dubrovnik, Tallinn, Zurich] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Reykjavik to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit London from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Reykjavik to London.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 10 - 12).\n       |- The departure day of London is Day 10. The arrival day of Valencia is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Amsterdam, Stockholm, Reykjavik, London].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Valencia.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from London to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Warsaw (Day 23 - 26).\n         |- The departure day of Valencia is Day 12. The arrival day of Warsaw is Day 23. Day 12 is not later than (<=) Day 23. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Tallinn, Zurich] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Valencia to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Valencia to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Valencia to Tallinn.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Valencia to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Warsaw (Day 23 - 26).\n           |- The departure day of Zurich is Day 16. The arrival day of Warsaw is Day 23. Day 16 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Dubrovnik, Tallinn] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Zurich to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 23 - 26).\n             |- The departure day of Manchester is Day 19. The arrival day of Warsaw is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich, Manchester].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Tallinn] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Manchester to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Tallinn from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Manchester to Tallinn.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Dubrovnik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Zurich to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Warsaw (Day 23 - 26).\n             |- The departure day of Dubrovnik is Day 20. The arrival day of Warsaw is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Tallinn] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Dubrovnik to Manchester.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Warsaw (Day 23 - 26).\n               |- The departure day of Manchester is Day 23. The arrival day of Warsaw is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich, Dubrovnik, Manchester].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Manchester to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich, Dubrovnik, Manchester, Warsaw].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                   |- Try arranging to visit Tallinn from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                   |- Check for direct flight from Warsaw to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Amsterdam, Stockholm, Reykjavik, London, Valencia, Zurich, Dubrovnik, Manchester, Warsaw, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Amsterdam and visit Amsterdam for 3 days.\n**Day 3:** Fly from Amsterdam to Stockholm.\n**Day 3-6:** Visit Stockholm for 4 days.\n**Day 6:** Fly from Stockholm to Reykjavik.\n**Day 6-8:** Visit Reykjavik for 3 days.\n**Day 8:** Fly from Reykjavik to London.\n**Day 8-10:** Visit London for 3 days.\n**Day 10:** Fly from London to Valencia.\n**Day 10-12:** Visit Valencia for 3 days.\n**Day 12:** Fly from Valencia to Zurich.\n**Day 12-16:** Visit Zurich for 5 days.\n**Day 16:** Fly from Zurich to Dubrovnik.\n**Day 16-20:** Visit Dubrovnik for 5 days.\n**Day 20:** Fly from Dubrovnik to Manchester.\n**Day 20-23:** Visit Manchester for 4 days.\n**Day 23:** Fly from Manchester to Warsaw.\n**Day 23-26:** Visit Warsaw for 4 days.\n**Day 26:** Fly from Warsaw to Tallinn.\n**Day 26-30:** Visit Tallinn for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Krakow**Munich**Seville**Brussels**Frankfurt**Hamburg**Stuttgart**Valencia**Naples**Mykonos",
    "ground_truth_durations": "5**2**3**5**2**4**5**4**4**4",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 13,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Brussels",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 20,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Frankfurt",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Naples"
      ],
      [
        "Brussels",
        "Naples"
      ],
      [
        "Krakow",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Naples",
        "Mykonos"
      ],
      [
        "Munich",
        "Hamburg"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Brussels",
        "Valencia"
      ],
      [
        "Brussels",
        "Hamburg"
      ],
      [
        "Krakow",
        "Valencia"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Krakow",
        "Frankfurt"
      ],
      [
        "Munich",
        "Naples"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Hamburg",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Naples"
      ],
      [
        "Krakow",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Seville",
        "Brussels"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Munich",
        "Valencia"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Seville",
        "Valencia"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You plan to stay in Seville for 3 days. You plan to stay in Hamburg for 4 days. You are going to attend a wedding in Hamburg between day 13 and day 16. You plan to stay in Stuttgart for 5 days. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 8 and day 12 to tour together. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 20 and day 23. You want to spend 4 days in Naples. You would like to visit Krakow for 5 days. During day 1 and day 5, you have to attend a conference in Krakow. You plan to stay in Munich for 2 days. From day 5 to day 6, there is a annual show you want to attend in Munich. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nFrankfurt and Valencia, Frankfurt and Naples, Brussels and Naples, Krakow and Brussels, Frankfurt and Stuttgart, Naples and Mykonos, Munich and Hamburg, Munich and Seville, from Brussels to Frankfurt, Brussels and Valencia, Brussels and Hamburg, Krakow and Valencia, Stuttgart and Valencia, Krakow and Frankfurt, Munich and Naples, Munich and Brussels, Krakow and Munich, Hamburg and Stuttgart, Stuttgart and Naples, Krakow and Stuttgart, Valencia and Naples, Seville and Brussels, Frankfurt and Hamburg, Munich and Valencia, Munich and Mykonos, Munich and Frankfurt, Seville and Valencia.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Mykonos for 4 days. You plan to stay in Seville for 3 days. You plan to stay in Hamburg for 4 days. You are going to attend a wedding in Hamburg between day 13 and day 16. You plan to stay in Stuttgart for 5 days. You would like to visit Brussels for 5 days. You would like to meet your friends at Brussels between day 8 and day 12 to tour together. You plan to stay in Valencia for 4 days. You want to meet a friend in Valencia between day 20 and day 23. You want to spend 4 days in Naples. You would like to visit Krakow for 5 days. During day 1 and day 5, you have to attend a conference in Krakow. You plan to stay in Munich for 2 days. From day 5 to day 6, there is a annual show you want to attend in Munich. You would like to visit Frankfurt for 2 days.\n\nHere are the cities that have direct flights:\nfrom Frankfurt to Valencia, from Frankfurt to Naples, from Brussels to Naples, from Krakow to Brussels, from Frankfurt to Stuttgart, from Naples to Mykonos, from Munich to Hamburg, from Munich to Seville, from Brussels to Frankfurt, from Brussels to Valencia, from Brussels to Hamburg, from Krakow to Valencia, from Stuttgart to Valencia, from Krakow to Frankfurt, from Munich to Naples, from Munich to Brussels, from Krakow to Munich, from Hamburg to Stuttgart, from Stuttgart to Naples, from Krakow to Stuttgart, from Valencia to Naples, from Seville to Brussels, from Frankfurt to Hamburg, from Munich to Valencia, from Munich to Mykonos, from Munich to Frankfurt, from Seville to Valencia.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Seville.\n**Day 6-8:** Visit Seville for 3 days.\n**Day 8:** Fly from Seville to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.\n**Day 16:** Fly from Hamburg to Stuttgart.\n**Day 16-20:** Visit Stuttgart for 5 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-23:** Visit Valencia for 4 days.\n**Day 23:** Fly from Valencia to Naples.\n**Day 23-26:** Visit Naples for 4 days.\n**Day 26:** Fly from Naples to Mykonos.\n**Day 26-29:** Visit Mykonos for 4 days.",
    "id": "trip_planning_example_1563",
    "estimated_output_tokens": 2920,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Hamburg, Duration: 4 days, Fixed Schedule: Day 13 - 16.\n* City: Stuttgart, Duration: 5 days.\n* City: Brussels, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Valencia, Duration: 4 days, Fixed Schedule: Day 20 - 23.\n* City: Naples, Duration: 4 days.\n* City: Krakow, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Munich, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Frankfurt, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Krakow, Fixed Schedule: Day 1 - 5.\n* City: Munich, Fixed Schedule: Day 5 - 6.\n* City: Brussels, Fixed Schedule: Day 8 - 12.\n* City: Hamburg, Fixed Schedule: Day 13 - 16.\n* City: Valencia, Fixed Schedule: Day 20 - 23.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 4 days.\n* City: Seville, Duration: 3 days.\n* City: Stuttgart, Duration: 5 days.\n* City: Naples, Duration: 4 days.\n* City: Frankfurt, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Krakow.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 6).\n |- The departure day of Krakow is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Krakow to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Brussels (Day 8 - 12).\n   |- The departure day of Munich is Day 6. The arrival day of Brussels is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Krakow, Munich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Seville, Stuttgart, Naples, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Munich to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 8 - 12).\n     |- The departure day of Mykonos is Day 9. The arrival day of Brussels is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Munich to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Brussels (Day 8 - 12).\n     |- The departure day of Seville is Day 8. The arrival day of Brussels is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Krakow, Munich, Seville].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Brussels.\n       |- Try arranging to visit Brussels from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Seville to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Hamburg (Day 13 - 16).\n       |- The departure day of Brussels is Day 12. The arrival day of Hamburg is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Krakow, Munich, Seville, Brussels].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Mykonos, Stuttgart, Naples, Frankfurt] and explore these options in order.\n         |- Try arranging to visit Mykonos from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Brussels to Mykonos.\n         |- No. Drop this branch.\n         |- Try arranging to visit Stuttgart from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Brussels to Stuttgart.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Brussels to Naples.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 13 - 16).\n         |- The departure day of Naples is Day 15. The arrival day of Hamburg is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Brussels to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 13 - 16).\n         |- The departure day of Frankfurt is Day 13. The arrival day of Hamburg is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Hamburg.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Frankfurt to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Valencia (Day 20 - 23).\n           |- The departure day of Hamburg is Day 16. The arrival day of Valencia is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt, Hamburg].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Mykonos, Stuttgart, Naples] and explore these options in order.\n             |- Try arranging to visit Mykonos from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Hamburg to Mykonos.\n             |- No. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Hamburg to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Valencia (Day 20 - 23).\n             |- The departure day of Stuttgart is Day 20. The arrival day of Valencia is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt, Hamburg, Stuttgart].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Valencia.\n               |- Try arranging to visit Valencia from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Stuttgart to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt, Hamburg, Stuttgart, Valencia].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Naples] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Valencia to Mykonos.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Naples from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                 |- Check for direct flight from Valencia to Naples.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt, Hamburg, Stuttgart, Valencia, Naples].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 26. Duration: 4 days. Schedule: Day 26 - 29.\n                   |- Check for direct flight from Naples to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 26: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Krakow, Munich, Seville, Brussels, Frankfurt, Hamburg, Stuttgart, Valencia, Naples, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Krakow and visit Krakow for 5 days.\n**Day 5:** Fly from Krakow to Munich.\n**Day 5-6:** Visit Munich for 2 days.\n**Day 6:** Fly from Munich to Seville.\n**Day 6-8:** Visit Seville for 3 days.\n**Day 8:** Fly from Seville to Brussels.\n**Day 8-12:** Visit Brussels for 5 days.\n**Day 12:** Fly from Brussels to Frankfurt.\n**Day 12-13:** Visit Frankfurt for 2 days.\n**Day 13:** Fly from Frankfurt to Hamburg.\n**Day 13-16:** Visit Hamburg for 4 days.\n**Day 16:** Fly from Hamburg to Stuttgart.\n**Day 16-20:** Visit Stuttgart for 5 days.\n**Day 20:** Fly from Stuttgart to Valencia.\n**Day 20-23:** Visit Valencia for 4 days.\n**Day 23:** Fly from Valencia to Naples.\n**Day 23-26:** Visit Naples for 4 days.\n**Day 26:** Fly from Naples to Mykonos.\n**Day 26-29:** Visit Mykonos for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Amsterdam**Edinburgh**Riga**Tallinn**Stockholm**Dubrovnik**Frankfurt**Vilnius**Milan",
    "ground_truth_durations": "3**2**2**4**3**3**3**3**5**4",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Madrid",
        "Milan"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Vilnius"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Madrid",
        "Dubrovnik"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Frankfurt",
        "Milan"
      ],
      [
        "Amsterdam",
        "Dubrovnik"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Milan"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Amsterdam",
        "Milan"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Riga",
        "Milan"
      ],
      [
        "Madrid",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You want to spend 3 days in Frankfurt. You plan to stay in Dubrovnik for 3 days. You want to meet a friend in Dubrovnik between day 12 and day 14. You plan to stay in Stockholm for 3 days. You plan to visit relatives in Stockholm between day 10 and day 12. You would like to visit Amsterdam for 2 days. During day 3 and day 4, you have to attend a conference in Amsterdam. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 16 and day 20 to tour together. You want to spend 3 days in Tallinn. You want to spend 4 days in Milan. You would like to visit Edinburgh for 2 days. You would like to visit Madrid for 3 days. You have to attend a workshop in Madrid between day 1 and day 3.\n\nHere are the cities that have direct flights:\nMadrid and Milan, from Riga to Vilnius, Frankfurt and Vilnius, Amsterdam and Tallinn, from Tallinn to Vilnius, Madrid and Dubrovnik, Riga and Stockholm, Edinburgh and Riga, Riga and Frankfurt, Amsterdam and Frankfurt, Madrid and Stockholm, Amsterdam and Riga, Dubrovnik and Frankfurt, Amsterdam and Vilnius, Frankfurt and Milan, Amsterdam and Dubrovnik, Amsterdam and Stockholm, Edinburgh and Milan, Edinburgh and Frankfurt, Tallinn and Frankfurt, Vilnius and Milan, Amsterdam and Milan, Madrid and Frankfurt, from Riga to Tallinn, Stockholm and Dubrovnik, Stockholm and Frankfurt, Riga and Milan, Madrid and Amsterdam, Amsterdam and Edinburgh, Madrid and Edinburgh, Stockholm and Milan, Tallinn and Stockholm, Edinburgh and Stockholm.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Riga. You want to spend 3 days in Frankfurt. You plan to stay in Dubrovnik for 3 days. You want to meet a friend in Dubrovnik between day 12 and day 14. You plan to stay in Stockholm for 3 days. You plan to visit relatives in Stockholm between day 10 and day 12. You would like to visit Amsterdam for 2 days. During day 3 and day 4, you have to attend a conference in Amsterdam. You plan to stay in Vilnius for 5 days. You would like to meet your friends at Vilnius between day 16 and day 20 to tour together. You want to spend 3 days in Tallinn. You want to spend 4 days in Milan. You would like to visit Edinburgh for 2 days. You would like to visit Madrid for 3 days. You have to attend a workshop in Madrid between day 1 and day 3.\n\nHere are the cities that have direct flights:\nfrom Madrid to Milan, from Riga to Vilnius, from Frankfurt to Vilnius, from Amsterdam to Tallinn, from Tallinn to Vilnius, from Madrid to Dubrovnik, from Riga to Stockholm, from Edinburgh to Riga, from Riga to Frankfurt, from Amsterdam to Frankfurt, from Madrid to Stockholm, from Amsterdam to Riga, from Dubrovnik to Frankfurt, from Amsterdam to Vilnius, from Frankfurt to Milan, from Amsterdam to Dubrovnik, from Amsterdam to Stockholm, from Edinburgh to Milan, from Edinburgh to Frankfurt, from Tallinn to Frankfurt, from Vilnius to Milan, from Amsterdam to Milan, from Madrid to Frankfurt, from Riga to Tallinn, from Stockholm to Dubrovnik, from Stockholm to Frankfurt, from Riga to Milan, from Madrid to Amsterdam, from Amsterdam to Edinburgh, from Madrid to Edinburgh, from Stockholm to Milan, from Tallinn to Stockholm, from Edinburgh to Stockholm.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Stockholm.\n**Day 10-12:** Visit Stockholm for 3 days.\n**Day 12:** Fly from Stockholm to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Frankfurt.\n**Day 14-16:** Visit Frankfurt for 3 days.\n**Day 16:** Fly from Frankfurt to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Milan.\n**Day 20-23:** Visit Milan for 4 days.",
    "id": "trip_planning_example_1564",
    "estimated_output_tokens": 6097,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Riga, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Amsterdam, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Vilnius, Duration: 5 days, Fixed Schedule: Day 16 - 20.\n* City: Tallinn, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days.\n* City: Madrid, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Madrid, Fixed Schedule: Day 1 - 3.\n* City: Amsterdam, Fixed Schedule: Day 3 - 4.\n* City: Stockholm, Fixed Schedule: Day 10 - 12.\n* City: Dubrovnik, Fixed Schedule: Day 12 - 14.\n* City: Vilnius, Fixed Schedule: Day 16 - 20.\n\nCities needing arrangement:\n* City: Riga, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Edinburgh, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Madrid.\n |- Try arranging to visit Madrid from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Amsterdam (Day 3 - 4).\n |- The departure day of Madrid is Day 3. The arrival day of Amsterdam is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Amsterdam.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Madrid to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 10 - 12).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Stockholm is Day 10. Day 4 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Madrid, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Tallinn, Milan, Edinburgh] and explore these options in order.\n     |- Try arranging to visit Riga from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 12).\n     |- The departure day of Riga is Day 7. The arrival day of Stockholm is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Amsterdam, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn, Milan, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 10 - 12).\n       |- The departure day of Frankfurt is Day 9. The arrival day of Stockholm is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Amsterdam, Riga, Frankfurt].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Milan, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Frankfurt to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 10 - 12).\n         |- The departure day of Milan is Day 12. The arrival day of Stockholm is Day 10. Day 12 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Frankfurt to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 10 - 12).\n       |- The departure day of Tallinn is Day 9. The arrival day of Stockholm is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Amsterdam, Riga, Tallinn].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Milan, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Tallinn to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 10 - 12).\n         |- The departure day of Frankfurt is Day 11. The arrival day of Stockholm is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Tallinn to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Tallinn to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 10 - 12).\n       |- The departure day of Milan is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Madrid, Amsterdam, Riga, Milan].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Milan to Stockholm.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Riga to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 12).\n     |- The departure day of Frankfurt is Day 6. The arrival day of Stockholm is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Madrid, Amsterdam, Frankfurt].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Milan, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Frankfurt to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Frankfurt to Milan.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stockholm (Day 10 - 12).\n       |- The departure day of Milan is Day 9. The arrival day of Stockholm is Day 10. Day 9 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Amsterdam, Frankfurt, Milan].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Tallinn, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Riga from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Milan to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Milan to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Milan to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Frankfurt to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 12).\n     |- The departure day of Tallinn is Day 6. The arrival day of Stockholm is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Madrid, Amsterdam, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Milan, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Riga from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Tallinn to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Tallinn to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Stockholm (Day 10 - 12).\n       |- The departure day of Frankfurt is Day 8. The arrival day of Stockholm is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Madrid, Amsterdam, Tallinn, Frankfurt].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Milan, Edinburgh] and explore these options in order.\n         |- Try arranging to visit Riga from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Frankfurt to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Frankfurt to Milan.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 10 - 12).\n         |- The departure day of Milan is Day 11. The arrival day of Stockholm is Day 10. Day 11 is later than (>) Day 10. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Frankfurt to Edinburgh.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Tallinn to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Tallinn to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 12).\n     |- The departure day of Milan is Day 7. The arrival day of Stockholm is Day 10. Day 7 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Madrid, Amsterdam, Milan].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Tallinn, Edinburgh] and explore these options in order.\n       |- Try arranging to visit Riga from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Milan to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Milan to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Edinburgh from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Milan to Edinburgh.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Amsterdam to Edinburgh.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Stockholm (Day 10 - 12).\n     |- The departure day of Edinburgh is Day 5. The arrival day of Stockholm is Day 10. Day 5 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Madrid, Amsterdam, Edinburgh].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Frankfurt, Tallinn, Milan] and explore these options in order.\n       |- Try arranging to visit Riga from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Edinburgh to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 10 - 12).\n       |- The departure day of Riga is Day 8. The arrival day of Stockholm is Day 10. Day 8 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Madrid, Amsterdam, Edinburgh, Riga].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn, Milan] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Riga to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 10 - 12).\n         |- The departure day of Frankfurt is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Frankfurt].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Frankfurt to Stockholm.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Stockholm (Day 10 - 12).\n         |- The departure day of Tallinn is Day 10. The arrival day of Stockholm is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Stockholm.\n           |- Try arranging to visit Stockholm from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n           |- Check for direct flight from Tallinn to Stockholm.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Dubrovnik (Day 12 - 14).\n           |- The departure day of Stockholm is Day 12. The arrival day of Dubrovnik is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 12. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn, Stockholm].\n            |- Check whether the city with an arrival day of Day 12 - is fixed.\n            |- Yes. The city with an arrival day of Day 12 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n             |- Check for direct flight from Stockholm to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 20).\n             |- The departure day of Dubrovnik is Day 14. The arrival day of Vilnius is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn, Stockholm, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Milan] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Dubrovnik to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 16 - 20).\n               |- The departure day of Frankfurt is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn, Stockholm, Dubrovnik, Frankfurt].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n                 |- Check for direct flight from Frankfurt to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 20. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn, Stockholm, Dubrovnik, Frankfurt, Vilnius].\n                  |- Check whether the city with an arrival day of Day 20 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Milan] and explore these options in order.\n                   |- Try arranging to visit Milan from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n                   |- Check for direct flight from Vilnius to Milan.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Madrid, Amsterdam, Edinburgh, Riga, Tallinn, Stockholm, Dubrovnik, Frankfurt, Vilnius, Milan].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Madrid and visit Madrid for 3 days.\n**Day 3:** Fly from Madrid to Amsterdam.\n**Day 3-4:** Visit Amsterdam for 2 days.\n**Day 4:** Fly from Amsterdam to Edinburgh.\n**Day 4-5:** Visit Edinburgh for 2 days.\n**Day 5:** Fly from Edinburgh to Riga.\n**Day 5-8:** Visit Riga for 4 days.\n**Day 8:** Fly from Riga to Tallinn.\n**Day 8-10:** Visit Tallinn for 3 days.\n**Day 10:** Fly from Tallinn to Stockholm.\n**Day 10-12:** Visit Stockholm for 3 days.\n**Day 12:** Fly from Stockholm to Dubrovnik.\n**Day 12-14:** Visit Dubrovnik for 3 days.\n**Day 14:** Fly from Dubrovnik to Frankfurt.\n**Day 14-16:** Visit Frankfurt for 3 days.\n**Day 16:** Fly from Frankfurt to Vilnius.\n**Day 16-20:** Visit Vilnius for 5 days.\n**Day 20:** Fly from Vilnius to Milan.\n**Day 20-23:** Visit Milan for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Naples**Athens**Dubrovnik**Zurich**Krakow**Prague**Reykjavik**Warsaw**Hamburg",
    "ground_truth_durations": "4**3**5**3**3**3**3**3**3**5",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 4,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Krakow",
        "Prague"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Zurich",
        "Hamburg"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Milan",
        "Hamburg"
      ],
      [
        "Dubrovnik",
        "Zurich"
      ],
      [
        "Naples",
        "Athens"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Naples",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Milan",
        "Krakow"
      ],
      [
        "Krakow",
        "Warsaw"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Reykjavik",
        "Warsaw"
      ],
      [
        "Milan",
        "Prague"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Zurich",
        "Warsaw"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Warsaw",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Zurich. You have to attend a workshop in Zurich between day 12 and day 14. You want to spend 3 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 10 and day 12. You would like to visit Naples for 3 days. You want to meet a friend in Naples between day 4 and day 6. You want to spend 3 days in Prague. You would like to visit Milan for 4 days. You would like to visit Reykjavik for 3 days. From day 18 to day 20, there is a annual show you want to attend in Reykjavik. You want to spend 5 days in Athens. You want to spend 3 days in Warsaw. During day 20 and day 22, you have to attend a conference in Warsaw. You want to spend 3 days in Krakow. You want to spend 5 days in Hamburg.\n\nHere are the cities that have direct flights:\nKrakow and Prague, Athens and Hamburg, Zurich and Krakow, Zurich and Reykjavik, Zurich and Hamburg, Athens and Prague, Milan and Hamburg, Dubrovnik and Zurich, Naples and Athens, Prague and Reykjavik, Naples and Dubrovnik, Athens and Dubrovnik, Athens and Zurich, Milan and Reykjavik, Milan and Krakow, Krakow and Warsaw, Milan and Athens, Milan and Naples, Reykjavik and Warsaw, Milan and Prague, Milan and Zurich, Prague and Warsaw, Naples and Zurich, Zurich and Warsaw, Athens and Warsaw, Zurich and Prague, Naples and Warsaw, Milan and Warsaw, from Reykjavik to Athens, Warsaw and Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Zurich. You have to attend a workshop in Zurich between day 12 and day 14. You want to spend 3 days in Dubrovnik. You plan to visit relatives in Dubrovnik between day 10 and day 12. You would like to visit Naples for 3 days. You want to meet a friend in Naples between day 4 and day 6. You want to spend 3 days in Prague. You would like to visit Milan for 4 days. You would like to visit Reykjavik for 3 days. From day 18 to day 20, there is a annual show you want to attend in Reykjavik. You want to spend 5 days in Athens. You want to spend 3 days in Warsaw. During day 20 and day 22, you have to attend a conference in Warsaw. You want to spend 3 days in Krakow. You want to spend 5 days in Hamburg.\n\nHere are the cities that have direct flights:\nfrom Krakow to Prague, from Athens to Hamburg, from Zurich to Krakow, from Zurich to Reykjavik, from Zurich to Hamburg, from Athens to Prague, from Milan to Hamburg, from Dubrovnik to Zurich, from Naples to Athens, from Prague to Reykjavik, from Naples to Dubrovnik, from Athens to Dubrovnik, from Athens to Zurich, from Milan to Reykjavik, from Milan to Krakow, from Krakow to Warsaw, from Milan to Athens, from Milan to Naples, from Reykjavik to Warsaw, from Milan to Prague, from Milan to Zurich, from Prague to Warsaw, from Naples to Zurich, from Zurich to Warsaw, from Athens to Warsaw, from Zurich to Prague, from Naples to Warsaw, from Milan to Warsaw, from Reykjavik to Athens, from Warsaw to Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Naples.\n**Day 4-6:** Visit Naples for 3 days.\n**Day 6:** Fly from Naples to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Prague.\n**Day 16-18:** Visit Prague for 3 days.\n**Day 18:** Fly from Prague to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.\n**Day 20:** Fly from Reykjavik to Warsaw.\n**Day 20-22:** Visit Warsaw for 3 days.\n**Day 22:** Fly from Warsaw to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.",
    "id": "trip_planning_example_1565",
    "estimated_output_tokens": 3347,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Dubrovnik, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 4 - 6.\n* City: Prague, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Reykjavik, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Athens, Duration: 5 days.\n* City: Warsaw, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Krakow, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 4 - 6.\n* City: Dubrovnik, Fixed Schedule: Day 10 - 12.\n* City: Zurich, Fixed Schedule: Day 12 - 14.\n* City: Reykjavik, Fixed Schedule: Day 18 - 20.\n* City: Warsaw, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Prague, Duration: 3 days.\n* City: Milan, Duration: 4 days.\n* City: Athens, Duration: 5 days.\n* City: Krakow, Duration: 3 days.\n* City: Hamburg, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Prague, Milan, Athens, Krakow, Hamburg] and explore these options in order.\n |- Try arranging to visit Prague from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Prague.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of Prague is Day 3. The arrival day of Naples is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Prague].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Athens, Krakow, Hamburg] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Prague to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Prague to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Prague to Hamburg.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 4 - 6).\n |- The departure day of Milan is Day 4. The arrival day of Naples is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Milan to Naples.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dubrovnik (Day 10 - 12).\n   |- The departure day of Naples is Day 6. The arrival day of Dubrovnik is Day 10. Day 6 is not later than (<=) Day 10. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Naples].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Prague, Athens, Krakow, Hamburg] and explore these options in order.\n     |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Naples to Prague.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Naples to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 10 - 12).\n     |- The departure day of Athens is Day 10. The arrival day of Dubrovnik is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Milan, Naples, Athens].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Dubrovnik.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Athens to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Zurich (Day 12 - 14).\n       |- The departure day of Dubrovnik is Day 12. The arrival day of Zurich is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Milan, Naples, Athens, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Zurich.\n         |- Try arranging to visit Zurich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Dubrovnik to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Reykjavik (Day 18 - 20).\n         |- The departure day of Zurich is Day 14. The arrival day of Reykjavik is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Prague, Krakow, Hamburg] and explore these options in order.\n           |- Try arranging to visit Prague from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Zurich to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 18 - 20).\n           |- The departure day of Prague is Day 16. The arrival day of Reykjavik is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Prague].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Krakow, Hamburg] and explore these options in order.\n             |- Try arranging to visit Krakow from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Prague to Krakow.\n             |- No. Drop this branch.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Prague to Hamburg.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n           |- Check for direct flight from Zurich to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Reykjavik (Day 18 - 20).\n           |- The departure day of Krakow is Day 16. The arrival day of Reykjavik is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Krakow].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Prague, Hamburg] and explore these options in order.\n             |- Try arranging to visit Prague from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Krakow to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Reykjavik (Day 18 - 20).\n             |- The departure day of Prague is Day 18. The arrival day of Reykjavik is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Krakow, Prague].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Reykjavik.\n               |- Try arranging to visit Reykjavik from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Prague to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Warsaw (Day 20 - 22).\n               |- The departure day of Reykjavik is Day 20. The arrival day of Warsaw is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Krakow, Prague, Reykjavik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Reykjavik to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Krakow, Prague, Reykjavik, Warsaw].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                   |- Try arranging to visit Hamburg from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                   |- Check for direct flight from Warsaw to Hamburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Milan, Naples, Athens, Dubrovnik, Zurich, Krakow, Prague, Reykjavik, Warsaw, Hamburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Milan and visit Milan for 4 days.\n**Day 4:** Fly from Milan to Naples.\n**Day 4-6:** Visit Naples for 3 days.\n**Day 6:** Fly from Naples to Athens.\n**Day 6-10:** Visit Athens for 5 days.\n**Day 10:** Fly from Athens to Dubrovnik.\n**Day 10-12:** Visit Dubrovnik for 3 days.\n**Day 12:** Fly from Dubrovnik to Zurich.\n**Day 12-14:** Visit Zurich for 3 days.\n**Day 14:** Fly from Zurich to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Prague.\n**Day 16-18:** Visit Prague for 3 days.\n**Day 18:** Fly from Prague to Reykjavik.\n**Day 18-20:** Visit Reykjavik for 3 days.\n**Day 20:** Fly from Reykjavik to Warsaw.\n**Day 20-22:** Visit Warsaw for 3 days.\n**Day 22:** Fly from Warsaw to Hamburg.\n**Day 22-26:** Visit Hamburg for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Oslo**Paris**Seville**Rome**Warsaw**Bucharest**Prague**Krakow**Vilnius",
    "ground_truth_durations": "5**2**2**2**2**5**4**4**3**2",
    "num_cities": 10,
    "total_days": 22,
    "constraints": [
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 19,
        "end_day": 21
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 21,
        "end_day": 22
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Warsaw",
        "Prague"
      ],
      [
        "Paris",
        "Bucharest"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Naples",
        "Oslo"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Prague",
        "Krakow"
      ],
      [
        "Paris",
        "Krakow"
      ],
      [
        "Rome",
        "Warsaw"
      ],
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Paris",
        "Prague"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Warsaw",
        "Bucharest"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Naples",
        "Warsaw"
      ],
      [
        "Oslo",
        "Paris"
      ],
      [
        "Naples",
        "Bucharest"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Oslo",
        "Prague"
      ],
      [
        "Warsaw",
        "Vilnius"
      ],
      [
        "Rome",
        "Prague"
      ],
      [
        "Naples",
        "Paris"
      ],
      [
        "Naples",
        "Rome"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Bucharest",
        "Prague"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Oslo",
        "Rome"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 5 days in Naples. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 19 and day 21. You would like to visit Bucharest for 4 days. You plan to stay in Rome for 2 days. You plan to visit relatives in Rome between day 8 and day 9. You plan to stay in Prague for 4 days. You want to spend 2 days in Seville. You want to spend 2 days in Oslo. During day 5 and day 6, you have to attend a conference in Oslo. You plan to stay in Warsaw for 5 days. You have to attend a workshop in Warsaw between day 9 and day 13. You plan to stay in Vilnius for 2 days. From day 21 to day 22, there is a annual show you want to attend in Vilnius.\n\nHere are the cities that have direct flights:\nRome and Bucharest, Warsaw and Prague, Paris and Bucharest, Oslo and Warsaw, Naples and Oslo, Paris and Rome, Prague and Krakow, Paris and Krakow, Rome and Warsaw, Paris and Vilnius, Seville and Rome, Warsaw and Krakow, Paris and Prague, Oslo and Krakow, Warsaw and Bucharest, Paris and Warsaw, Naples and Warsaw, Oslo and Paris, Naples and Bucharest, Oslo and Vilnius, Oslo and Prague, Warsaw and Vilnius, Rome and Prague, Naples and Paris, Naples and Rome, Paris and Seville, Oslo and Bucharest, Bucharest and Prague, from Krakow to Vilnius, Oslo and Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 22 days in total. You only take direct flights to commute between cities. You plan to stay in Paris for 2 days. You want to spend 5 days in Naples. You would like to visit Krakow for 3 days. You are going to attend a wedding in Krakow between day 19 and day 21. You would like to visit Bucharest for 4 days. You plan to stay in Rome for 2 days. You plan to visit relatives in Rome between day 8 and day 9. You plan to stay in Prague for 4 days. You want to spend 2 days in Seville. You want to spend 2 days in Oslo. During day 5 and day 6, you have to attend a conference in Oslo. You plan to stay in Warsaw for 5 days. You have to attend a workshop in Warsaw between day 9 and day 13. You plan to stay in Vilnius for 2 days. From day 21 to day 22, there is a annual show you want to attend in Vilnius.\n\nHere are the cities that have direct flights:\nfrom Rome to Bucharest, from Warsaw to Prague, from Paris to Bucharest, from Oslo to Warsaw, from Naples to Oslo, from Paris to Rome, from Prague to Krakow, from Paris to Krakow, from Rome to Warsaw, from Paris to Vilnius, from Seville to Rome, from Warsaw to Krakow, from Paris to Prague, from Oslo to Krakow, from Warsaw to Bucharest, from Paris to Warsaw, from Naples to Warsaw, from Oslo to Paris, from Naples to Bucharest, from Oslo to Vilnius, from Oslo to Prague, from Warsaw to Vilnius, from Rome to Prague, from Naples to Paris, from Naples to Rome, from Paris to Seville, from Oslo to Bucharest, from Bucharest to Prague, from Krakow to Vilnius, from Oslo to Rome.\n\nFind a trip plan of visiting the cities for 22 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 22 days:\n\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Oslo.\n**Day 5-6:** Visit Oslo for 2 days.\n**Day 6:** Fly from Oslo to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Warsaw.\n**Day 9-13:** Visit Warsaw for 5 days.\n**Day 13:** Fly from Warsaw to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Prague.\n**Day 16-19:** Visit Prague for 4 days.\n**Day 19:** Fly from Prague to Krakow.\n**Day 19-21:** Visit Krakow for 3 days.\n**Day 21:** Fly from Krakow to Vilnius.\n**Day 21-22:** Visit Vilnius for 2 days.",
    "id": "trip_planning_example_1566",
    "estimated_output_tokens": 3931,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Paris, Duration: 2 days.\n* City: Naples, Duration: 5 days.\n* City: Krakow, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n* City: Bucharest, Duration: 4 days.\n* City: Rome, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Prague, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n* City: Oslo, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Oslo, Fixed Schedule: Day 5 - 6.\n* City: Rome, Fixed Schedule: Day 8 - 9.\n* City: Warsaw, Fixed Schedule: Day 9 - 13.\n* City: Krakow, Fixed Schedule: Day 19 - 21.\n* City: Vilnius, Fixed Schedule: Day 21 - 22.\n\nCities needing arrangement:\n* City: Paris, Duration: 2 days.\n* City: Naples, Duration: 5 days.\n* City: Bucharest, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Seville, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Naples, Bucharest, Prague, Seville] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 6).\n |- The departure day of Paris is Day 2. The arrival day of Oslo is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Prague, Seville] and explore these options in order.\n   |- Try arranging to visit Naples from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Paris to Naples.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 6).\n   |- The departure day of Bucharest is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Paris to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 6).\n   |- The departure day of Prague is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Prague].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n     |- Try arranging to visit Oslo from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Prague to Oslo.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Paris to Seville.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Oslo (Day 5 - 6).\n   |- The departure day of Seville is Day 3. The arrival day of Oslo is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Paris, Seville].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Naples, Bucharest, Prague] and explore these options in order.\n     |- Try arranging to visit Naples from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Seville to Naples.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Seville to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Prague from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Seville to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Naples from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Oslo (Day 5 - 6).\n |- The departure day of Naples is Day 5. The arrival day of Oslo is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Oslo.\n   |- Try arranging to visit Oslo from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Naples to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Rome (Day 8 - 9).\n   |- The departure day of Oslo is Day 6. The arrival day of Rome is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Naples, Oslo].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Paris, Bucharest, Prague, Seville] and explore these options in order.\n     |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Oslo to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Rome (Day 8 - 9).\n     |- The departure day of Paris is Day 7. The arrival day of Rome is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Naples, Oslo, Paris].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Prague, Seville] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Paris to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 9).\n       |- The departure day of Bucharest is Day 10. The arrival day of Rome is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Prague from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Paris to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 9).\n       |- The departure day of Prague is Day 10. The arrival day of Rome is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Paris to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Rome (Day 8 - 9).\n       |- The departure day of Seville is Day 8. The arrival day of Rome is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Oslo, Paris, Seville].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Rome.\n         |- Try arranging to visit Rome from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Seville to Rome.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Warsaw (Day 9 - 13).\n         |- The departure day of Rome is Day 9. The arrival day of Warsaw is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Naples, Oslo, Paris, Seville, Rome].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Warsaw.\n           |- Try arranging to visit Warsaw from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Rome to Warsaw.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 19 - 21).\n           |- The departure day of Warsaw is Day 13. The arrival day of Krakow is Day 19. Day 13 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Naples, Oslo, Paris, Seville, Rome, Warsaw].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Prague] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Warsaw to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 19 - 21).\n             |- The departure day of Bucharest is Day 16. The arrival day of Krakow is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Naples, Oslo, Paris, Seville, Rome, Warsaw, Bucharest].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Prague] and explore these options in order.\n               |- Try arranging to visit Prague from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Bucharest to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 19 - 21).\n               |- The departure day of Prague is Day 19. The arrival day of Krakow is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Naples, Oslo, Paris, Seville, Rome, Warsaw, Bucharest, Prague].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Krakow.\n                 |- Try arranging to visit Krakow from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Prague to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 21 - 22).\n                 |- The departure day of Krakow is Day 21. The arrival day of Vilnius is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Naples, Oslo, Paris, Seville, Rome, Warsaw, Bucharest, Prague, Krakow].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- Yes. The city with an arrival day of Day 21 - is fixed: Vilnius.\n                   |- Try arranging to visit Vilnius from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                   |- Check for direct flight from Krakow to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 22. Current plan: [Naples, Oslo, Paris, Seville, Rome, Warsaw, Bucharest, Prague, Krakow, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Naples and visit Naples for 5 days.\n**Day 5:** Fly from Naples to Oslo.\n**Day 5-6:** Visit Oslo for 2 days.\n**Day 6:** Fly from Oslo to Paris.\n**Day 6-7:** Visit Paris for 2 days.\n**Day 7:** Fly from Paris to Seville.\n**Day 7-8:** Visit Seville for 2 days.\n**Day 8:** Fly from Seville to Rome.\n**Day 8-9:** Visit Rome for 2 days.\n**Day 9:** Fly from Rome to Warsaw.\n**Day 9-13:** Visit Warsaw for 5 days.\n**Day 13:** Fly from Warsaw to Bucharest.\n**Day 13-16:** Visit Bucharest for 4 days.\n**Day 16:** Fly from Bucharest to Prague.\n**Day 16-19:** Visit Prague for 4 days.\n**Day 19:** Fly from Prague to Krakow.\n**Day 19-21:** Visit Krakow for 3 days.\n**Day 21:** Fly from Krakow to Vilnius.\n**Day 21-22:** Visit Vilnius for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Venice**Istanbul**Stockholm**Geneva**Porto**Copenhagen**Bucharest**Vienna**Florence",
    "ground_truth_durations": "2**4**4**2**3**4**5**4**5**5",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Geneva"
      ],
      [
        "Istanbul",
        "Copenhagen"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Vienna"
      ],
      [
        "Porto",
        "Vienna"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Porto"
      ],
      [
        "Edinburgh",
        "Istanbul"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Stockholm",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Copenhagen"
      ],
      [
        "Geneva",
        "Vienna"
      ],
      [
        "Istanbul",
        "Porto"
      ],
      [
        "Edinburgh",
        "Venice"
      ],
      [
        "Istanbul",
        "Vienna"
      ],
      [
        "Vienna",
        "Florence"
      ],
      [
        "Edinburgh",
        "Geneva"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Istanbul",
        "Geneva"
      ],
      [
        "Bucharest",
        "Vienna"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Venice",
        "Istanbul"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You plan to stay in Florence for 5 days. You would like to meet your friends at Florence between day 25 and day 29 to tour together. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 8 and day 9. You plan to stay in Edinburgh for 2 days. From day 1 to day 2, there is a annual show you want to attend in Edinburgh. You want to spend 4 days in Istanbul. During day 5 and day 8, you have to attend a conference in Istanbul. You would like to visit Geneva for 3 days. You would like to visit Venice for 4 days. You would like to visit Vienna for 5 days. You want to spend 5 days in Copenhagen. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nStockholm and Geneva, Istanbul and Copenhagen, Edinburgh and Stockholm, Stockholm and Vienna, Porto and Vienna, Venice and Vienna, Copenhagen and Bucharest, Istanbul and Stockholm, Istanbul and Bucharest, Edinburgh and Copenhagen, Geneva and Porto, Edinburgh and Istanbul, Venice and Copenhagen, Porto and Copenhagen, Stockholm and Copenhagen, Geneva and Copenhagen, Geneva and Vienna, Istanbul and Porto, Edinburgh and Venice, Istanbul and Vienna, Vienna and Florence, Edinburgh and Geneva, Copenhagen and Vienna, Istanbul and Geneva, Bucharest and Vienna, Edinburgh and Porto, Venice and Istanbul.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You plan to stay in Bucharest for 4 days. You plan to stay in Florence for 5 days. You would like to meet your friends at Florence between day 25 and day 29 to tour together. You plan to stay in Stockholm for 2 days. You want to meet a friend in Stockholm between day 8 and day 9. You plan to stay in Edinburgh for 2 days. From day 1 to day 2, there is a annual show you want to attend in Edinburgh. You want to spend 4 days in Istanbul. During day 5 and day 8, you have to attend a conference in Istanbul. You would like to visit Geneva for 3 days. You would like to visit Venice for 4 days. You would like to visit Vienna for 5 days. You want to spend 5 days in Copenhagen. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Geneva, from Istanbul to Copenhagen, from Edinburgh to Stockholm, from Stockholm to Vienna, from Porto to Vienna, from Venice to Vienna, from Copenhagen to Bucharest, from Istanbul to Stockholm, from Istanbul to Bucharest, from Edinburgh to Copenhagen, from Geneva to Porto, from Edinburgh to Istanbul, from Venice to Copenhagen, from Porto to Copenhagen, from Stockholm to Copenhagen, from Geneva to Copenhagen, from Geneva to Vienna, from Istanbul to Porto, from Edinburgh to Venice, from Istanbul to Vienna, from Vienna to Florence, from Edinburgh to Geneva, from Copenhagen to Vienna, from Istanbul to Geneva, from Bucharest to Vienna, from Edinburgh to Porto, from Venice to Istanbul.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Geneva.\n**Day 9-11:** Visit Geneva for 3 days.\n**Day 11:** Fly from Geneva to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-18:** Visit Copenhagen for 5 days.\n**Day 18:** Fly from Copenhagen to Bucharest.\n**Day 18-21:** Visit Bucharest for 4 days.\n**Day 21:** Fly from Bucharest to Vienna.\n**Day 21-25:** Visit Vienna for 5 days.\n**Day 25:** Fly from Vienna to Florence.\n**Day 25-29:** Visit Florence for 5 days.",
    "id": "trip_planning_example_1567",
    "estimated_output_tokens": 5147,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 4 days.\n* City: Florence, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Geneva, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 2.\n* City: Istanbul, Fixed Schedule: Day 5 - 8.\n* City: Stockholm, Fixed Schedule: Day 8 - 9.\n* City: Florence, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 4 days.\n* City: Geneva, Duration: 3 days.\n* City: Venice, Duration: 4 days.\n* City: Vienna, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 5 - 8).\n |- The departure day of Edinburgh is Day 2. The arrival day of Istanbul is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Venice, Vienna, Copenhagen, Porto] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Edinburgh to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 5 - 8).\n   |- The departure day of Geneva is Day 4. The arrival day of Istanbul is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Edinburgh, Geneva].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Venice, Vienna, Copenhagen, Porto] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Geneva to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Venice from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Geneva to Venice.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 8).\n     |- The departure day of Vienna is Day 8. The arrival day of Istanbul is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Geneva to Copenhagen.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 8).\n     |- The departure day of Copenhagen is Day 8. The arrival day of Istanbul is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Porto from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Geneva to Porto.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Istanbul (Day 5 - 8).\n     |- The departure day of Porto is Day 7. The arrival day of Istanbul is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Edinburgh to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Istanbul (Day 5 - 8).\n   |- The departure day of Venice is Day 5. The arrival day of Istanbul is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Edinburgh, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Istanbul.\n     |- Try arranging to visit Istanbul from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Venice to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 9).\n     |- The departure day of Istanbul is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Edinburgh, Venice, Istanbul].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Istanbul to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Florence (Day 25 - 29).\n       |- The departure day of Stockholm is Day 9. The arrival day of Florence is Day 25. Day 9 is not later than (<=) Day 25. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Edinburgh, Venice, Istanbul, Stockholm].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Bucharest, Geneva, Vienna, Copenhagen, Porto] and explore these options in order.\n         |- Try arranging to visit Bucharest from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Stockholm to Bucharest.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Stockholm to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Florence (Day 25 - 29).\n         |- The departure day of Geneva is Day 11. The arrival day of Florence is Day 25. Day 11 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna, Copenhagen, Porto] and explore these options in order.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Geneva to Bucharest.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Geneva to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 25 - 29).\n           |- The departure day of Vienna is Day 15. The arrival day of Florence is Day 25. Day 15 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Vienna].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen, Porto] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Vienna to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Copenhagen from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Vienna to Copenhagen.\n             |- No. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Vienna to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Geneva to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 25 - 29).\n           |- The departure day of Copenhagen is Day 15. The arrival day of Florence is Day 25. Day 15 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Copenhagen].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna, Porto] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Copenhagen to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 25 - 29).\n             |- The departure day of Bucharest is Day 18. The arrival day of Florence is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Copenhagen, Bucharest].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vienna, Porto] and explore these options in order.\n               |- Try arranging to visit Vienna from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Bucharest to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Florence (Day 25 - 29).\n               |- The departure day of Vienna is Day 22. The arrival day of Florence is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Copenhagen, Bucharest, Vienna].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Porto] and explore these options in order.\n                 |- Try arranging to visit Porto from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Vienna to Porto.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Porto from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Bucharest to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vienna from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Copenhagen to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Florence (Day 25 - 29).\n             |- The departure day of Vienna is Day 19. The arrival day of Florence is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Copenhagen, Vienna].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Porto] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Vienna to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Porto from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Vienna to Porto.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Porto from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Copenhagen to Porto.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Porto from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Geneva to Porto.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Florence (Day 25 - 29).\n           |- The departure day of Porto is Day 14. The arrival day of Florence is Day 25. Day 14 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna, Copenhagen] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n             |- Check for direct flight from Porto to Bucharest.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Porto to Vienna.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 25 - 29).\n             |- The departure day of Vienna is Day 18. The arrival day of Florence is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto, Vienna].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Copenhagen] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Vienna to Bucharest.\n               |- No. Drop this branch.\n               |- Try arranging to visit Copenhagen from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Vienna to Copenhagen.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Copenhagen from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Porto to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Florence (Day 25 - 29).\n             |- The departure day of Copenhagen is Day 18. The arrival day of Florence is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto, Copenhagen].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Bucharest, Vienna] and explore these options in order.\n               |- Try arranging to visit Bucharest from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Copenhagen to Bucharest.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Florence (Day 25 - 29).\n               |- The departure day of Bucharest is Day 21. The arrival day of Florence is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto, Copenhagen, Bucharest].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Vienna] and explore these options in order.\n                 |- Try arranging to visit Vienna from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Bucharest to Vienna.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Florence (Day 25 - 29).\n                 |- The departure day of Vienna is Day 25. The arrival day of Florence is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto, Copenhagen, Bucharest, Vienna].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Vienna to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Edinburgh, Venice, Istanbul, Stockholm, Geneva, Porto, Copenhagen, Bucharest, Vienna, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Edinburgh and visit Edinburgh for 2 days.\n**Day 2:** Fly from Edinburgh to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Istanbul.\n**Day 5-8:** Visit Istanbul for 4 days.\n**Day 8:** Fly from Istanbul to Stockholm.\n**Day 8-9:** Visit Stockholm for 2 days.\n**Day 9:** Fly from Stockholm to Geneva.\n**Day 9-11:** Visit Geneva for 3 days.\n**Day 11:** Fly from Geneva to Porto.\n**Day 11-14:** Visit Porto for 4 days.\n**Day 14:** Fly from Porto to Copenhagen.\n**Day 14-18:** Visit Copenhagen for 5 days.\n**Day 18:** Fly from Copenhagen to Bucharest.\n**Day 18-21:** Visit Bucharest for 4 days.\n**Day 21:** Fly from Bucharest to Vienna.\n**Day 21-25:** Visit Vienna for 5 days.\n**Day 25:** Fly from Vienna to Florence.\n**Day 25-29:** Visit Florence for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Vienna**Prague**Istanbul**Munich**Split**Amsterdam**Riga**Stockholm**Brussels**Seville",
    "ground_truth_durations": "5**5**2**2**3**3**2**2**2**3",
    "num_cities": 10,
    "total_days": 20,
    "constraints": [
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 11,
        "end_day": 13
      }
    ],
    "connected_cities": [
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Brussels"
      ],
      [
        "Istanbul",
        "Munich"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Vienna",
        "Brussels"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Munich",
        "Brussels"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Prague",
        "Brussels"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Stockholm"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Vienna",
        "Amsterdam"
      ],
      [
        "Prague",
        "Stockholm"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Istanbul",
        "Brussels"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Riga",
        "Brussels"
      ],
      [
        "Prague",
        "Riga"
      ],
      [
        "Vienna",
        "Munich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. From day 5 to day 9, there is a annual show you want to attend in Prague. You want to spend 2 days in Brussels. You want to spend 2 days in Riga. You would like to meet your friends at Riga between day 15 and day 16 to tour together. You would like to visit Munich for 2 days. You want to spend 3 days in Seville. You would like to visit Stockholm for 2 days. During day 16 and day 17, you have to attend a conference in Stockholm. You plan to stay in Istanbul for 2 days. You plan to stay in Amsterdam for 3 days. You want to spend 5 days in Vienna. You want to meet a friend in Vienna between day 1 and day 5. You want to spend 3 days in Split. You plan to visit relatives in Split between day 11 and day 13.\n\nHere are the cities that have direct flights:\nRiga and Stockholm, Stockholm and Brussels, Istanbul and Munich, Istanbul and Riga, Prague and Split, Vienna and Brussels, Vienna and Riga, Split and Stockholm, Munich and Amsterdam, Split and Amsterdam, Amsterdam and Stockholm, Amsterdam and Riga, Vienna and Stockholm, Vienna and Istanbul, Vienna and Seville, Istanbul and Amsterdam, Munich and Brussels, Prague and Munich, from Riga to Munich, Prague and Amsterdam, Prague and Brussels, Prague and Istanbul, Istanbul and Stockholm, Vienna and Prague, Munich and Split, Vienna and Amsterdam, Prague and Stockholm, Brussels and Seville, Munich and Stockholm, Istanbul and Brussels, Amsterdam and Seville, Vienna and Split, Munich and Seville, Riga and Brussels, Prague and Riga, Vienna and Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 20 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Prague. From day 5 to day 9, there is a annual show you want to attend in Prague. You want to spend 2 days in Brussels. You want to spend 2 days in Riga. You would like to meet your friends at Riga between day 15 and day 16 to tour together. You would like to visit Munich for 2 days. You want to spend 3 days in Seville. You would like to visit Stockholm for 2 days. During day 16 and day 17, you have to attend a conference in Stockholm. You plan to stay in Istanbul for 2 days. You plan to stay in Amsterdam for 3 days. You want to spend 5 days in Vienna. You want to meet a friend in Vienna between day 1 and day 5. You want to spend 3 days in Split. You plan to visit relatives in Split between day 11 and day 13.\n\nHere are the cities that have direct flights:\nfrom Riga to Stockholm, from Stockholm to Brussels, from Istanbul to Munich, from Istanbul to Riga, from Prague to Split, from Vienna to Brussels, from Vienna to Riga, from Split to Stockholm, from Munich to Amsterdam, from Split to Amsterdam, from Amsterdam to Stockholm, from Amsterdam to Riga, from Vienna to Stockholm, from Vienna to Istanbul, from Vienna to Seville, from Istanbul to Amsterdam, from Munich to Brussels, from Prague to Munich, from Riga to Munich, from Prague to Amsterdam, from Prague to Brussels, from Prague to Istanbul, from Istanbul to Stockholm, from Vienna to Prague, from Munich to Split, from Vienna to Amsterdam, from Prague to Stockholm, from Brussels to Seville, from Munich to Stockholm, from Istanbul to Brussels, from Amsterdam to Seville, from Vienna to Split, from Munich to Seville, from Riga to Brussels, from Prague to Riga, from Vienna to Munich.\n\nFind a trip plan of visiting the cities for 20 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 20 days:\n\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Istanbul.\n**Day 9-10:** Visit Istanbul for 2 days.\n**Day 10:** Fly from Istanbul to Munich.\n**Day 10-11:** Visit Munich for 2 days.\n**Day 11:** Fly from Munich to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Amsterdam.\n**Day 13-15:** Visit Amsterdam for 3 days.\n**Day 15:** Fly from Amsterdam to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Brussels.\n**Day 17-18:** Visit Brussels for 2 days.\n**Day 18:** Fly from Brussels to Seville.\n**Day 18-20:** Visit Seville for 3 days.",
    "id": "trip_planning_example_1568",
    "estimated_output_tokens": 4071,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Prague, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Brussels, Duration: 2 days.\n* City: Riga, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Munich, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Istanbul, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Vienna, Fixed Schedule: Day 1 - 5.\n* City: Prague, Fixed Schedule: Day 5 - 9.\n* City: Split, Fixed Schedule: Day 11 - 13.\n* City: Riga, Fixed Schedule: Day 15 - 16.\n* City: Stockholm, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Brussels, Duration: 2 days.\n* City: Munich, Duration: 2 days.\n* City: Seville, Duration: 3 days.\n* City: Istanbul, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Vienna.\n |- Try arranging to visit Vienna from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Vienna.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 5 - 9).\n |- The departure day of Vienna is Day 5. The arrival day of Prague is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Vienna].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Prague.\n   |- Try arranging to visit Prague from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Vienna to Prague.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Split (Day 11 - 13).\n   |- The departure day of Prague is Day 9. The arrival day of Split is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Vienna, Prague].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Brussels, Munich, Seville, Istanbul, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Brussels from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Prague to Brussels.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n     |- The departure day of Brussels is Day 10. The arrival day of Split is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Prague, Brussels].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Seville, Istanbul, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Brussels to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Brussels to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Seville is Day 12. The arrival day of Split is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Brussels to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Brussels to Amsterdam.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Munich from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Prague to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n     |- The departure day of Munich is Day 10. The arrival day of Split is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Prague, Munich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Seville, Istanbul, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Munich to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Brussels is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vienna, Prague, Munich, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Brussels to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Seville is Day 12. The arrival day of Split is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Munich to Istanbul.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Munich to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Amsterdam is Day 12. The arrival day of Split is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n     |- Check for direct flight from Prague to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n     |- Check for direct flight from Prague to Istanbul.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Split (Day 11 - 13).\n     |- The departure day of Istanbul is Day 10. The arrival day of Split is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Vienna, Prague, Istanbul].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Brussels, Munich, Seville, Amsterdam] and explore these options in order.\n       |- Try arranging to visit Brussels from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Istanbul to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Brussels is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vienna, Prague, Istanbul, Brussels].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Brussels to Split.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Munich from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Istanbul to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Split (Day 11 - 13).\n       |- The departure day of Munich is Day 11. The arrival day of Split is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Vienna, Prague, Istanbul, Munich].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Split.\n         |- Try arranging to visit Split from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Munich to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Riga (Day 15 - 16).\n         |- The departure day of Split is Day 13. The arrival day of Riga is Day 15. Day 13 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Vienna, Prague, Istanbul, Munich, Split].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Brussels, Seville, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Brussels from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Split to Brussels.\n           |- No. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Split to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Split to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 15 - 16).\n           |- The departure day of Amsterdam is Day 15. The arrival day of Riga is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Vienna, Prague, Istanbul, Munich, Split, Amsterdam].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- Yes. The city with an arrival day of Day 15 - is fixed: Riga.\n             |- Try arranging to visit Riga from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Amsterdam to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Stockholm (Day 16 - 17).\n             |- The departure day of Riga is Day 16. The arrival day of Stockholm is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Vienna, Prague, Istanbul, Munich, Split, Amsterdam, Riga].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Stockholm.\n               |- Try arranging to visit Stockholm from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Riga to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Vienna, Prague, Istanbul, Munich, Split, Amsterdam, Riga, Stockholm].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Brussels, Seville] and explore these options in order.\n                 |- Try arranging to visit Brussels from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n                 |- Check for direct flight from Stockholm to Brussels.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Vienna, Prague, Istanbul, Munich, Split, Amsterdam, Riga, Stockholm, Brussels].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n                   |- Check for direct flight from Brussels to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 20. Current plan: [Vienna, Prague, Istanbul, Munich, Split, Amsterdam, Riga, Stockholm, Brussels, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Vienna and visit Vienna for 5 days.\n**Day 5:** Fly from Vienna to Prague.\n**Day 5-9:** Visit Prague for 5 days.\n**Day 9:** Fly from Prague to Istanbul.\n**Day 9-10:** Visit Istanbul for 2 days.\n**Day 10:** Fly from Istanbul to Munich.\n**Day 10-11:** Visit Munich for 2 days.\n**Day 11:** Fly from Munich to Split.\n**Day 11-13:** Visit Split for 3 days.\n**Day 13:** Fly from Split to Amsterdam.\n**Day 13-15:** Visit Amsterdam for 3 days.\n**Day 15:** Fly from Amsterdam to Riga.\n**Day 15-16:** Visit Riga for 2 days.\n**Day 16:** Fly from Riga to Stockholm.\n**Day 16-17:** Visit Stockholm for 2 days.\n**Day 17:** Fly from Stockholm to Brussels.\n**Day 17-18:** Visit Brussels for 2 days.\n**Day 18:** Fly from Brussels to Seville.\n**Day 18-20:** Visit Seville for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Venice**Madrid**Geneva**Dublin**Munich**Krakow**Helsinki**Milan**Seville",
    "ground_truth_durations": "2**4**2**3**2**3**3**5**3**5",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 13,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 9,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Munich"
      ],
      [
        "Munich",
        "Milan"
      ],
      [
        "Madrid",
        "Seville"
      ],
      [
        "Madrid",
        "Milan"
      ],
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Madrid",
        "Munich"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Munich",
        "Seville"
      ],
      [
        "Krakow",
        "Helsinki"
      ],
      [
        "Venice",
        "Munich"
      ],
      [
        "Helsinki",
        "Milan"
      ],
      [
        "Dublin",
        "Milan"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Venice",
        "Madrid"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Zurich",
        "Milan"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Zurich",
        "Dublin"
      ],
      [
        "Madrid",
        "Geneva"
      ],
      [
        "Dublin",
        "Helsinki"
      ],
      [
        "Zurich",
        "Madrid"
      ],
      [
        "Venice",
        "Helsinki"
      ],
      [
        "Dublin",
        "Munich"
      ],
      [
        "Geneva",
        "Munich"
      ],
      [
        "Geneva",
        "Helsinki"
      ],
      [
        "Madrid",
        "Dublin"
      ],
      [
        "Krakow",
        "Milan"
      ],
      [
        "Munich",
        "Helsinki"
      ],
      [
        "Dublin",
        "Seville"
      ],
      [
        "Zurich",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 1 and day 2. You plan to stay in Helsinki for 5 days. During day 13 and day 17, you have to attend a conference in Helsinki. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 6 and day 8. You want to spend 5 days in Seville. You plan to stay in Milan for 3 days. You would like to visit Krakow for 3 days. You want to spend 2 days in Madrid. You plan to stay in Dublin for 2 days. You would like to meet your friends at Dublin between day 8 and day 9 to tour together. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 9 and day 11.\n\nHere are the cities that have direct flights:\nZurich and Munich, Munich and Milan, Madrid and Seville, Madrid and Milan, Zurich and Krakow, Zurich and Venice, Dublin and Krakow, Madrid and Munich, Zurich and Helsinki, Madrid and Helsinki, Munich and Seville, Krakow and Helsinki, Venice and Munich, Helsinki and Milan, Dublin and Milan, Munich and Krakow, Venice and Madrid, Venice and Dublin, Geneva and Dublin, Zurich and Milan, Milan and Seville, Zurich and Dublin, Madrid and Geneva, Dublin and Helsinki, Zurich and Madrid, Venice and Helsinki, Dublin and Munich, Geneva and Munich, Geneva and Helsinki, Madrid and Dublin, Krakow and Milan, Munich and Helsinki, Dublin and Seville, Zurich and Geneva.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Venice. You would like to visit Zurich for 2 days. You plan to visit relatives in Zurich between day 1 and day 2. You plan to stay in Helsinki for 5 days. During day 13 and day 17, you have to attend a conference in Helsinki. You would like to visit Geneva for 3 days. You are going to attend a wedding in Geneva between day 6 and day 8. You want to spend 5 days in Seville. You plan to stay in Milan for 3 days. You would like to visit Krakow for 3 days. You want to spend 2 days in Madrid. You plan to stay in Dublin for 2 days. You would like to meet your friends at Dublin between day 8 and day 9 to tour together. You want to spend 3 days in Munich. You want to meet a friend in Munich between day 9 and day 11.\n\nHere are the cities that have direct flights:\nfrom Zurich to Munich, from Munich to Milan, from Madrid to Seville, from Madrid to Milan, from Zurich to Krakow, from Zurich to Venice, from Dublin to Krakow, from Madrid to Munich, from Zurich to Helsinki, from Madrid to Helsinki, from Munich to Seville, from Krakow to Helsinki, from Venice to Munich, from Helsinki to Milan, from Dublin to Milan, from Munich to Krakow, from Venice to Madrid, from Venice to Dublin, from Geneva to Dublin, from Zurich to Milan, from Milan to Seville, from Zurich to Dublin, from Madrid to Geneva, from Dublin to Helsinki, from Zurich to Madrid, from Venice to Helsinki, from Dublin to Munich, from Geneva to Munich, from Geneva to Helsinki, from Madrid to Dublin, from Krakow to Milan, from Munich to Helsinki, from Dublin to Seville, from Zurich to Geneva.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Munich.\n**Day 9-11:** Visit Munich for 3 days.\n**Day 11:** Fly from Munich to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Seville.\n**Day 19-23:** Visit Seville for 5 days.",
    "id": "trip_planning_example_1569",
    "estimated_output_tokens": 3036,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 4 days.\n* City: Zurich, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Helsinki, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n* City: Geneva, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Seville, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n* City: Dublin, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Zurich, Fixed Schedule: Day 1 - 2.\n* City: Geneva, Fixed Schedule: Day 6 - 8.\n* City: Dublin, Fixed Schedule: Day 8 - 9.\n* City: Munich, Fixed Schedule: Day 9 - 11.\n* City: Helsinki, Fixed Schedule: Day 13 - 17.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Seville, Duration: 5 days.\n* City: Milan, Duration: 3 days.\n* City: Krakow, Duration: 3 days.\n* City: Madrid, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Zurich.\n |- Try arranging to visit Zurich from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 6 - 8).\n |- The departure day of Zurich is Day 2. The arrival day of Geneva is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Seville, Milan, Krakow, Madrid] and explore these options in order.\n   |- Try arranging to visit Venice from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Zurich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Geneva (Day 6 - 8).\n   |- The departure day of Venice is Day 5. The arrival day of Geneva is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Venice].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Seville, Milan, Krakow, Madrid] and explore these options in order.\n     |- Try arranging to visit Seville from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Venice to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Krakow from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Venice to Krakow.\n     |- No. Drop this branch.\n     |- Try arranging to visit Madrid from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Venice to Madrid.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 6 - 8).\n     |- The departure day of Madrid is Day 6. The arrival day of Geneva is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Zurich, Venice, Madrid].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Madrid to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 8 - 9).\n       |- The departure day of Geneva is Day 8. The arrival day of Dublin is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Zurich, Venice, Madrid, Geneva].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- Yes. The city with an arrival day of Day 8 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Geneva to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Munich (Day 9 - 11).\n         |- The departure day of Dublin is Day 9. The arrival day of Munich is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Dublin to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Helsinki (Day 13 - 17).\n           |- The departure day of Munich is Day 11. The arrival day of Helsinki is Day 13. Day 11 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Milan, Krakow] and explore these options in order.\n             |- Try arranging to visit Seville from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Munich to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 13 - 17).\n             |- The departure day of Seville is Day 15. The arrival day of Helsinki is Day 13. Day 15 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Milan from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Munich to Milan.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 13 - 17).\n             |- The departure day of Milan is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich, Milan].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n               |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Milan to Helsinki.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Munich to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Helsinki (Day 13 - 17).\n             |- The departure day of Krakow is Day 13. The arrival day of Helsinki is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich, Krakow].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- Yes. The city with an arrival day of Day 13 - is fixed: Helsinki.\n               |- Try arranging to visit Helsinki from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Krakow to Helsinki.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich, Krakow, Helsinki].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Seville, Milan] and explore these options in order.\n                 |- Try arranging to visit Seville from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n                 |- Check for direct flight from Helsinki to Seville.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Milan from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Helsinki to Milan.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich, Krakow, Helsinki, Milan].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Seville] and explore these options in order.\n                   |- Try arranging to visit Seville from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                   |- Check for direct flight from Milan to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Zurich, Venice, Madrid, Geneva, Dublin, Munich, Krakow, Helsinki, Milan, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Zurich and visit Zurich for 2 days.\n**Day 2:** Fly from Zurich to Venice.\n**Day 2-5:** Visit Venice for 4 days.\n**Day 5:** Fly from Venice to Madrid.\n**Day 5-6:** Visit Madrid for 2 days.\n**Day 6:** Fly from Madrid to Geneva.\n**Day 6-8:** Visit Geneva for 3 days.\n**Day 8:** Fly from Geneva to Dublin.\n**Day 8-9:** Visit Dublin for 2 days.\n**Day 9:** Fly from Dublin to Munich.\n**Day 9-11:** Visit Munich for 3 days.\n**Day 11:** Fly from Munich to Krakow.\n**Day 11-13:** Visit Krakow for 3 days.\n**Day 13:** Fly from Krakow to Helsinki.\n**Day 13-17:** Visit Helsinki for 5 days.\n**Day 17:** Fly from Helsinki to Milan.\n**Day 17-19:** Visit Milan for 3 days.\n**Day 19:** Fly from Milan to Seville.\n**Day 19-23:** Visit Seville for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Athens**Split**Paris**Rome**Amsterdam**Oslo**Riga**Stockholm**Stuttgart**Valencia",
    "ground_truth_durations": "3**2**2**3**4**5**3**4**3**3",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 3,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 10,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 7,
        "end_day": 10
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Valencia"
      ],
      [
        "Split",
        "Stockholm"
      ],
      [
        "Athens",
        "Paris"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Oslo",
        "Riga"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Rome",
        "Oslo"
      ],
      [
        "Split",
        "Oslo"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Athens",
        "Stockholm"
      ],
      [
        "Athens",
        "Oslo"
      ],
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Split",
        "Rome"
      ],
      [
        "Stuttgart",
        "Valencia"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Riga",
        "Stockholm"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Split",
        "Amsterdam"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Athens",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Athens",
        "Rome"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Rome",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. During day 3 and day 4, you have to attend a conference in Split. You want to spend 3 days in Athens. You want to spend 5 days in Oslo. From day 10 to day 14, there is a annual show you want to attend in Oslo. You would like to visit Riga for 3 days. You would like to visit Stuttgart for 3 days. You would like to visit Valencia for 3 days. You would like to visit Paris for 2 days. You have to attend a workshop in Paris between day 4 and day 5. You plan to stay in Rome for 3 days. You plan to visit relatives in Rome between day 5 and day 7. You would like to visit Stockholm for 4 days. You want to spend 4 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 7 and day 10.\n\nHere are the cities that have direct flights:\nRome and Stockholm, Amsterdam and Valencia, Split and Stockholm, Athens and Paris, Oslo and Stockholm, Amsterdam and Riga, Rome and Stuttgart, Oslo and Riga, from Athens to Riga, Rome and Valencia, Rome and Oslo, Split and Oslo, Paris and Riga, Athens and Stockholm, Athens and Oslo, Paris and Stockholm, Paris and Amsterdam, Split and Paris, Split and Rome, Stuttgart and Valencia, Amsterdam and Stuttgart, Stockholm and Stuttgart, from Valencia to Athens, Paris and Oslo, Riga and Stockholm, Paris and Valencia, Paris and Stuttgart, Amsterdam and Stockholm, Split and Amsterdam, Paris and Rome, from Rome to Riga, Athens and Stuttgart, Amsterdam and Oslo, Split and Stuttgart, Athens and Split, Athens and Rome, Athens and Amsterdam, Rome and Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Split for 2 days. During day 3 and day 4, you have to attend a conference in Split. You want to spend 3 days in Athens. You want to spend 5 days in Oslo. From day 10 to day 14, there is a annual show you want to attend in Oslo. You would like to visit Riga for 3 days. You would like to visit Stuttgart for 3 days. You would like to visit Valencia for 3 days. You would like to visit Paris for 2 days. You have to attend a workshop in Paris between day 4 and day 5. You plan to stay in Rome for 3 days. You plan to visit relatives in Rome between day 5 and day 7. You would like to visit Stockholm for 4 days. You want to spend 4 days in Amsterdam. You are going to attend a wedding in Amsterdam between day 7 and day 10.\n\nHere are the cities that have direct flights:\nfrom Rome to Stockholm, from Amsterdam to Valencia, from Split to Stockholm, from Athens to Paris, from Oslo to Stockholm, from Amsterdam to Riga, from Rome to Stuttgart, from Oslo to Riga, from Athens to Riga, from Rome to Valencia, from Rome to Oslo, from Split to Oslo, from Paris to Riga, from Athens to Stockholm, from Athens to Oslo, from Paris to Stockholm, from Paris to Amsterdam, from Split to Paris, from Split to Rome, from Stuttgart to Valencia, from Amsterdam to Stuttgart, from Stockholm to Stuttgart, from Valencia to Athens, from Paris to Oslo, from Riga to Stockholm, from Paris to Valencia, from Paris to Stuttgart, from Amsterdam to Stockholm, from Split to Amsterdam, from Paris to Rome, from Rome to Riga, from Athens to Stuttgart, from Amsterdam to Oslo, from Split to Stuttgart, from Athens to Split, from Athens to Rome, from Athens to Amsterdam, from Rome to Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Split.\n**Day 3-4:** Visit Split for 2 days.\n**Day 4:** Fly from Split to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Stockholm.\n**Day 16-19:** Visit Stockholm for 4 days.\n**Day 19:** Fly from Stockholm to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.",
    "id": "trip_planning_example_1570",
    "estimated_output_tokens": 2472,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 3 - 4.\n* City: Athens, Duration: 3 days.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 10 - 14.\n* City: Riga, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Paris, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Stockholm, Duration: 4 days.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 3 - 4.\n* City: Paris, Fixed Schedule: Day 4 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 7.\n* City: Amsterdam, Fixed Schedule: Day 7 - 10.\n* City: Oslo, Fixed Schedule: Day 10 - 14.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Riga, Duration: 3 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Valencia, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Athens, Riga, Stuttgart, Valencia, Stockholm] and explore these options in order.\n |- Try arranging to visit Athens from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Athens.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Split (Day 3 - 4).\n |- The departure day of Athens is Day 3. The arrival day of Split is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Athens].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Split.\n   |- Try arranging to visit Split from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Athens to Split.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Paris (Day 4 - 5).\n   |- The departure day of Split is Day 4. The arrival day of Paris is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Athens, Split].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Paris.\n     |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Split to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 7).\n     |- The departure day of Paris is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Athens, Split, Paris].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Paris to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Amsterdam (Day 7 - 10).\n       |- The departure day of Rome is Day 7. The arrival day of Amsterdam is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Athens, Split, Paris, Rome].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- Yes. The city with an arrival day of Day 7 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Rome to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Oslo (Day 10 - 14).\n         |- The departure day of Amsterdam is Day 10. The arrival day of Oslo is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Athens, Split, Paris, Rome, Amsterdam].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- Yes. The city with an arrival day of Day 10 - is fixed: Oslo.\n           |- Try arranging to visit Oslo from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Amsterdam to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: None.\n           |- No following fixed schedules. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Athens, Split, Paris, Rome, Amsterdam, Oslo].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Stuttgart, Valencia, Stockholm] and explore these options in order.\n             |- Try arranging to visit Riga from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Oslo to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Athens, Split, Paris, Rome, Amsterdam, Oslo, Riga].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia, Stockholm] and explore these options in order.\n               |- Try arranging to visit Stuttgart from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Riga to Stuttgart.\n               |- No. Drop this branch.\n               |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Riga to Valencia.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stockholm from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Riga to Stockholm.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Athens, Split, Paris, Rome, Amsterdam, Oslo, Riga, Stockholm].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart, Valencia] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                 |- Check for direct flight from Stockholm to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 21. Current plan: [Athens, Split, Paris, Rome, Amsterdam, Oslo, Riga, Stockholm, Stuttgart].\n                  |- Check whether the city with an arrival day of Day 21 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Valencia] and explore these options in order.\n                   |- Try arranging to visit Valencia from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                   |- Check for direct flight from Stuttgart to Valencia.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Athens, Split, Paris, Rome, Amsterdam, Oslo, Riga, Stockholm, Stuttgart, Valencia].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Athens and visit Athens for 3 days.\n**Day 3:** Fly from Athens to Split.\n**Day 3-4:** Visit Split for 2 days.\n**Day 4:** Fly from Split to Paris.\n**Day 4-5:** Visit Paris for 2 days.\n**Day 5:** Fly from Paris to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Amsterdam.\n**Day 7-10:** Visit Amsterdam for 4 days.\n**Day 10:** Fly from Amsterdam to Oslo.\n**Day 10-14:** Visit Oslo for 5 days.\n**Day 14:** Fly from Oslo to Riga.\n**Day 14-16:** Visit Riga for 3 days.\n**Day 16:** Fly from Riga to Stockholm.\n**Day 16-19:** Visit Stockholm for 4 days.\n**Day 19:** Fly from Stockholm to Stuttgart.\n**Day 19-21:** Visit Stuttgart for 3 days.\n**Day 21:** Fly from Stuttgart to Valencia.\n**Day 21-23:** Visit Valencia for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Berlin**Tallinn**Stockholm**Riga**Manchester**Dubrovnik**Madrid**Frankfurt**Stuttgart",
    "ground_truth_durations": "5**3**2**5**3**4**2**2**4**2",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Madrid",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 8,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Madrid"
      ],
      [
        "Manchester",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Stuttgart"
      ],
      [
        "Riga",
        "Manchester"
      ],
      [
        "Budapest",
        "Madrid"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Manchester",
        "Stuttgart"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Manchester",
        "Madrid"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Madrid"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Berlin",
        "Tallinn"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Budapest",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Madrid"
      ],
      [
        "Budapest",
        "Manchester"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Stockholm",
        "Manchester"
      ],
      [
        "Manchester",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You want to meet a friend in Madrid between day 18 and day 19. You would like to visit Berlin for 3 days. You plan to stay in Dubrovnik for 2 days. You would like to meet your friends at Dubrovnik between day 17 and day 18 to tour together. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 19 and day 22. You would like to visit Budapest for 5 days. You would like to visit Manchester for 4 days. You would like to visit Stockholm for 5 days. From day 8 to day 12, there is a annual show you want to attend in Stockholm. You would like to visit Tallinn for 2 days. You want to spend 2 days in Stuttgart. During day 22 and day 23, you have to attend a conference in Stuttgart. You plan to stay in Riga for 3 days.\n\nHere are the cities that have direct flights:\nStockholm and Madrid, Manchester and Dubrovnik, Berlin and Stuttgart, Riga and Manchester, Budapest and Madrid, Berlin and Stockholm, Manchester and Stuttgart, Berlin and Frankfurt, Stockholm and Frankfurt, Budapest and Stuttgart, Tallinn and Frankfurt, Manchester and Madrid, Budapest and Frankfurt, Berlin and Madrid, Stockholm and Dubrovnik, Madrid and Frankfurt, Berlin and Tallinn, Dubrovnik and Frankfurt, Riga and Frankfurt, Stockholm and Riga, Berlin and Riga, Budapest and Berlin, Dubrovnik and Madrid, Budapest and Manchester, from Riga to Tallinn, Berlin and Manchester, Stockholm and Manchester, Manchester and Frankfurt, Tallinn and Stockholm, Stockholm and Stuttgart, Frankfurt and Stuttgart.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You plan to stay in Madrid for 2 days. You want to meet a friend in Madrid between day 18 and day 19. You would like to visit Berlin for 3 days. You plan to stay in Dubrovnik for 2 days. You would like to meet your friends at Dubrovnik between day 17 and day 18 to tour together. You plan to stay in Frankfurt for 4 days. You have to attend a workshop in Frankfurt between day 19 and day 22. You would like to visit Budapest for 5 days. You would like to visit Manchester for 4 days. You would like to visit Stockholm for 5 days. From day 8 to day 12, there is a annual show you want to attend in Stockholm. You would like to visit Tallinn for 2 days. You want to spend 2 days in Stuttgart. During day 22 and day 23, you have to attend a conference in Stuttgart. You plan to stay in Riga for 3 days.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Madrid, from Manchester to Dubrovnik, from Berlin to Stuttgart, from Riga to Manchester, from Budapest to Madrid, from Berlin to Stockholm, from Manchester to Stuttgart, from Berlin to Frankfurt, from Stockholm to Frankfurt, from Budapest to Stuttgart, from Tallinn to Frankfurt, from Manchester to Madrid, from Budapest to Frankfurt, from Berlin to Madrid, from Stockholm to Dubrovnik, from Madrid to Frankfurt, from Berlin to Tallinn, from Dubrovnik to Frankfurt, from Riga to Frankfurt, from Stockholm to Riga, from Berlin to Riga, from Budapest to Berlin, from Dubrovnik to Madrid, from Budapest to Manchester, from Riga to Tallinn, from Berlin to Manchester, from Stockholm to Manchester, from Manchester to Frankfurt, from Tallinn to Stockholm, from Stockholm to Stuttgart, from Frankfurt to Stuttgart.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Manchester.\n**Day 14-17:** Visit Manchester for 4 days.\n**Day 17:** Fly from Manchester to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Madrid.\n**Day 18-19:** Visit Madrid for 2 days.\n**Day 19:** Fly from Madrid to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Stuttgart.\n**Day 22-23:** Visit Stuttgart for 2 days.",
    "id": "trip_planning_example_1571",
    "estimated_output_tokens": 4761,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Berlin, Duration: 3 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Budapest, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Stockholm, Duration: 5 days, Fixed Schedule: Day 8 - 12.\n* City: Tallinn, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Riga, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Stockholm, Fixed Schedule: Day 8 - 12.\n* City: Dubrovnik, Fixed Schedule: Day 17 - 18.\n* City: Madrid, Fixed Schedule: Day 18 - 19.\n* City: Frankfurt, Fixed Schedule: Day 19 - 22.\n* City: Stuttgart, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Berlin, Duration: 3 days.\n* City: Budapest, Duration: 5 days.\n* City: Manchester, Duration: 4 days.\n* City: Tallinn, Duration: 2 days.\n* City: Riga, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Berlin, Budapest, Manchester, Tallinn, Riga] and explore these options in order.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 8 - 12).\n |- The departure day of Berlin is Day 3. The arrival day of Stockholm is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Tallinn, Riga] and explore these options in order.\n   |- Try arranging to visit Budapest from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Budapest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 8 - 12).\n   |- The departure day of Manchester is Day 6. The arrival day of Stockholm is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Tallinn, Riga] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Manchester to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Manchester to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Tallinn from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Tallinn.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 8 - 12).\n   |- The departure day of Tallinn is Day 4. The arrival day of Stockholm is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Tallinn].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Riga] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Tallinn to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Tallinn to Manchester.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Tallinn to Riga.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Stockholm (Day 8 - 12).\n   |- The departure day of Riga is Day 5. The arrival day of Stockholm is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Berlin, Riga].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester, Tallinn] and explore these options in order.\n     |- Try arranging to visit Budapest from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Riga to Budapest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Manchester from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Riga to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 12).\n     |- The departure day of Manchester is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Riga, Manchester].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Manchester to Stockholm.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Riga to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 12).\n     |- The departure day of Tallinn is Day 6. The arrival day of Stockholm is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Riga, Tallinn].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Budapest, Manchester] and explore these options in order.\n       |- Try arranging to visit Budapest from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Tallinn to Budapest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Manchester from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Tallinn to Manchester.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Stockholm (Day 8 - 12).\n |- The departure day of Budapest is Day 5. The arrival day of Stockholm is Day 8. Day 5 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Berlin, Manchester, Tallinn, Riga] and explore these options in order.\n   |- Try arranging to visit Berlin from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Stockholm (Day 8 - 12).\n   |- The departure day of Berlin is Day 7. The arrival day of Stockholm is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Berlin].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Manchester, Tallinn, Riga] and explore these options in order.\n     |- Try arranging to visit Manchester from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n     |- Check for direct flight from Berlin to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 12).\n     |- The departure day of Manchester is Day 10. The arrival day of Stockholm is Day 8. Day 10 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Berlin to Tallinn.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stockholm (Day 8 - 12).\n     |- The departure day of Tallinn is Day 8. The arrival day of Stockholm is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Budapest, Berlin, Tallinn].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Stockholm.\n       |- Try arranging to visit Stockholm from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Tallinn to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dubrovnik (Day 17 - 18).\n       |- The departure day of Stockholm is Day 12. The arrival day of Dubrovnik is Day 17. Day 12 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Budapest, Berlin, Tallinn, Stockholm].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Manchester, Riga] and explore these options in order.\n         |- Try arranging to visit Manchester from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Stockholm to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 17 - 18).\n         |- The departure day of Manchester is Day 15. The arrival day of Dubrovnik is Day 17. Day 15 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Manchester].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n           |- Try arranging to visit Riga from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n           |- Check for direct flight from Manchester to Riga.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Riga from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Stockholm to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Dubrovnik (Day 17 - 18).\n         |- The departure day of Riga is Day 14. The arrival day of Dubrovnik is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Riga to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dubrovnik (Day 17 - 18).\n           |- The departure day of Manchester is Day 17. The arrival day of Dubrovnik is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga, Manchester].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Dubrovnik.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Manchester to Dubrovnik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Madrid (Day 18 - 19).\n             |- The departure day of Dubrovnik is Day 18. The arrival day of Madrid is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga, Manchester, Dubrovnik].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Madrid.\n               |- Try arranging to visit Madrid from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Dubrovnik to Madrid.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 19 - 22).\n               |- The departure day of Madrid is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga, Manchester, Dubrovnik, Madrid].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Madrid to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Stuttgart (Day 22 - 23).\n                 |- The departure day of Frankfurt is Day 22. The arrival day of Stuttgart is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga, Manchester, Dubrovnik, Madrid, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Stuttgart.\n                   |- Try arranging to visit Stuttgart from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                   |- Check for direct flight from Frankfurt to Stuttgart.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Budapest, Berlin, Tallinn, Stockholm, Riga, Manchester, Dubrovnik, Madrid, Frankfurt, Stuttgart].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Berlin.\n**Day 5-7:** Visit Berlin for 3 days.\n**Day 7:** Fly from Berlin to Tallinn.\n**Day 7-8:** Visit Tallinn for 2 days.\n**Day 8:** Fly from Tallinn to Stockholm.\n**Day 8-12:** Visit Stockholm for 5 days.\n**Day 12:** Fly from Stockholm to Riga.\n**Day 12-14:** Visit Riga for 3 days.\n**Day 14:** Fly from Riga to Manchester.\n**Day 14-17:** Visit Manchester for 4 days.\n**Day 17:** Fly from Manchester to Dubrovnik.\n**Day 17-18:** Visit Dubrovnik for 2 days.\n**Day 18:** Fly from Dubrovnik to Madrid.\n**Day 18-19:** Visit Madrid for 2 days.\n**Day 19:** Fly from Madrid to Frankfurt.\n**Day 19-22:** Visit Frankfurt for 4 days.\n**Day 22:** Fly from Frankfurt to Stuttgart.\n**Day 22-23:** Visit Stuttgart for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Milan**Seville**Paris**Lyon**Nice**Naples**Zurich**Stockholm**Riga",
    "ground_truth_durations": "2**3**3**5**3**2**4**5**3**2",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 20,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Nice",
        "start_day": 12,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Stockholm"
      ],
      [
        "Seville",
        "Paris"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Nice",
        "Riga"
      ],
      [
        "Berlin",
        "Milan"
      ],
      [
        "Paris",
        "Zurich"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Milan",
        "Paris"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Paris",
        "Lyon"
      ],
      [
        "Milan",
        "Naples"
      ],
      [
        "Paris",
        "Riga"
      ],
      [
        "Berlin",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Nice",
        "Zurich"
      ],
      [
        "Milan",
        "Zurich"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Zurich",
        "Stockholm"
      ],
      [
        "Zurich",
        "Riga"
      ],
      [
        "Berlin",
        "Naples"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Berlin",
        "Zurich"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Paris",
        "Naples"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Nice",
        "Stockholm"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Nice",
        "Naples"
      ],
      [
        "Berlin",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to visit Paris for 5 days. You plan to stay in Riga for 2 days. You plan to stay in Berlin for 2 days. You are going to attend a wedding in Berlin between day 1 and day 2. You plan to stay in Stockholm for 3 days. From day 20 to day 22, there is a annual show you want to attend in Stockholm. You plan to stay in Zurich for 5 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 12 and day 13. You plan to stay in Seville for 3 days. You want to spend 3 days in Milan. You would like to visit Naples for 4 days.\n\nHere are the cities that have direct flights:\nParis and Stockholm, Seville and Paris, Naples and Zurich, Nice and Riga, Berlin and Milan, Paris and Zurich, Paris and Nice, Milan and Paris, Milan and Riga, Paris and Lyon, Milan and Naples, Paris and Riga, Berlin and Stockholm, Stockholm and Riga, Nice and Zurich, Milan and Zurich, Lyon and Nice, Zurich and Stockholm, Zurich and Riga, Berlin and Naples, Milan and Stockholm, Berlin and Zurich, Milan and Seville, Paris and Naples, Berlin and Riga, Nice and Stockholm, Berlin and Paris, Nice and Naples, Berlin and Nice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 3 days. You would like to visit Paris for 5 days. You plan to stay in Riga for 2 days. You plan to stay in Berlin for 2 days. You are going to attend a wedding in Berlin between day 1 and day 2. You plan to stay in Stockholm for 3 days. From day 20 to day 22, there is a annual show you want to attend in Stockholm. You plan to stay in Zurich for 5 days. You want to spend 2 days in Nice. You have to attend a workshop in Nice between day 12 and day 13. You plan to stay in Seville for 3 days. You want to spend 3 days in Milan. You would like to visit Naples for 4 days.\n\nHere are the cities that have direct flights:\nfrom Paris to Stockholm, from Seville to Paris, from Naples to Zurich, from Nice to Riga, from Berlin to Milan, from Paris to Zurich, from Paris to Nice, from Milan to Paris, from Milan to Riga, from Paris to Lyon, from Milan to Naples, from Paris to Riga, from Berlin to Stockholm, from Stockholm to Riga, from Nice to Zurich, from Milan to Zurich, from Lyon to Nice, from Zurich to Stockholm, from Zurich to Riga, from Berlin to Naples, from Milan to Stockholm, from Berlin to Zurich, from Milan to Seville, from Paris to Naples, from Berlin to Riga, from Nice to Stockholm, from Berlin to Paris, from Nice to Naples, from Berlin to Nice.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Seville.\n**Day 4-6:** Visit Seville for 3 days.\n**Day 6:** Fly from Seville to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Nice.\n**Day 12-13:** Visit Nice for 2 days.\n**Day 13:** Fly from Nice to Naples.\n**Day 13-16:** Visit Naples for 4 days.\n**Day 16:** Fly from Naples to Zurich.\n**Day 16-20:** Visit Zurich for 5 days.\n**Day 20:** Fly from Zurich to Stockholm.\n**Day 20-22:** Visit Stockholm for 3 days.\n**Day 22:** Fly from Stockholm to Riga.\n**Day 22-23:** Visit Riga for 2 days.",
    "id": "trip_planning_example_1572",
    "estimated_output_tokens": 10609,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Berlin, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 20 - 22.\n* City: Zurich, Duration: 5 days.\n* City: Nice, Duration: 2 days, Fixed Schedule: Day 12 - 13.\n* City: Seville, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 2.\n* City: Nice, Fixed Schedule: Day 12 - 13.\n* City: Stockholm, Fixed Schedule: Day 20 - 22.\n\nCities needing arrangement:\n* City: Lyon, Duration: 3 days.\n* City: Paris, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Zurich, Duration: 5 days.\n* City: Seville, Duration: 3 days.\n* City: Milan, Duration: 3 days.\n* City: Naples, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Nice (Day 12 - 13).\n |- The departure day of Berlin is Day 2. The arrival day of Nice is Day 12. Day 2 is not later than (<=) Day 12. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Riga, Zurich, Seville, Milan, Naples] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 12 - 13).\n   |- The departure day of Paris is Day 6. The arrival day of Nice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Paris].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Zurich, Seville, Milan, Naples] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n     |- The departure day of Lyon is Day 8. The arrival day of Nice is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Paris, Lyon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Riga, Zurich, Seville, Milan, Naples] and explore these options in order.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Lyon to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Lyon to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lyon to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Lyon to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lyon to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Paris to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n     |- The departure day of Riga is Day 7. The arrival day of Nice is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Paris, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Seville, Milan, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Paris to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n     |- The departure day of Zurich is Day 10. The arrival day of Nice is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Berlin, Paris, Zurich].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Seville, Milan, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Zurich to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 12 - 13).\n       |- The departure day of Riga is Day 11. The arrival day of Nice is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Paris, Zurich, Riga].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Seville, Milan, Naples] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Riga to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Zurich to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Zurich to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Paris to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Paris to Naples.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n     |- The departure day of Naples is Day 9. The arrival day of Nice is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Berlin, Paris, Naples].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Zurich, Seville, Milan] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Naples to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Naples to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Naples to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Nice (Day 12 - 13).\n       |- The departure day of Zurich is Day 13. The arrival day of Nice is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Naples to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Naples to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Riga from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Berlin to Riga.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 12 - 13).\n   |- The departure day of Riga is Day 3. The arrival day of Nice is Day 12. Day 3 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Berlin, Riga].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Zurich, Seville, Milan, Naples] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Zurich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Riga to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Riga to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n     |- Check for direct flight from Riga to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Zurich from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Berlin to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 12 - 13).\n   |- The departure day of Zurich is Day 6. The arrival day of Nice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Berlin, Zurich].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Riga, Seville, Milan, Naples] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Zurich to Paris.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Zurich to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n     |- The departure day of Riga is Day 7. The arrival day of Nice is Day 12. Day 7 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Berlin, Zurich, Riga].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Seville, Milan, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Riga to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Riga to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Zurich to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Naples from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Zurich to Naples.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Seville from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Seville.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Berlin to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Nice (Day 12 - 13).\n   |- The departure day of Milan is Day 4. The arrival day of Nice is Day 12. Day 4 is not later than (<=) Day 12. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Riga, Zurich, Seville, Naples] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 12 - 13).\n     |- The departure day of Paris is Day 8. The arrival day of Nice is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Milan, Paris].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Zurich, Seville, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 12 - 13).\n       |- The departure day of Lyon is Day 10. The arrival day of Nice is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Milan, Paris, Lyon].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Riga, Zurich, Seville, Naples] and explore these options in order.\n         |- Try arranging to visit Riga from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Lyon to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Lyon to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Lyon to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Lyon to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Paris to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 12 - 13).\n       |- The departure day of Riga is Day 9. The arrival day of Nice is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Milan, Paris, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Zurich, Seville, Naples] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Zurich.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Zurich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Paris to Zurich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 12 - 13).\n       |- The departure day of Zurich is Day 12. The arrival day of Nice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Berlin, Milan, Paris, Zurich].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Nice.\n         |- Try arranging to visit Nice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n         |- Check for direct flight from Zurich to Nice.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Paris to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Paris to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 12 - 13).\n       |- The departure day of Naples is Day 11. The arrival day of Nice is Day 12. Day 11 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Berlin, Milan, Paris, Naples].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Zurich, Seville] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Naples to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n         |- Check for direct flight from Naples to Riga.\n         |- No. Drop this branch.\n         |- Try arranging to visit Zurich from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Naples to Zurich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Nice (Day 12 - 13).\n         |- The departure day of Zurich is Day 15. The arrival day of Nice is Day 12. Day 15 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Seville from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Naples to Seville.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 12 - 13).\n     |- The departure day of Riga is Day 5. The arrival day of Nice is Day 12. Day 5 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Berlin, Milan, Riga].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Zurich, Seville, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Riga to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Riga to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Zurich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Riga to Zurich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Seville from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Riga to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n       |- Check for direct flight from Riga to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Zurich from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Milan to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 12 - 13).\n     |- The departure day of Zurich is Day 8. The arrival day of Nice is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Milan, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Riga, Seville, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Zurich to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Zurich to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Nice (Day 12 - 13).\n       |- The departure day of Riga is Day 9. The arrival day of Nice is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Berlin, Milan, Zurich, Riga].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Seville, Naples] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Riga to Paris.\n         |- No. Drop this branch.\n         |- Try arranging to visit Seville from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Riga to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Naples from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Riga to Naples.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Zurich to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Naples from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Zurich to Naples.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Seville from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Seville.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Nice (Day 12 - 13).\n     |- The departure day of Seville is Day 6. The arrival day of Nice is Day 12. Day 6 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Berlin, Milan, Seville].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Paris, Riga, Zurich, Naples] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Seville to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Seville to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Nice (Day 12 - 13).\n       |- The departure day of Paris is Day 10. The arrival day of Nice is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Milan, Seville, Paris].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Riga, Zurich, Naples] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Paris to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Nice (Day 12 - 13).\n         |- The departure day of Lyon is Day 12. The arrival day of Nice is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Berlin, Milan, Seville, Paris, Lyon].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Nice.\n           |- Try arranging to visit Nice from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Lyon to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 20 - 22).\n           |- The departure day of Nice is Day 13. The arrival day of Stockholm is Day 20. Day 13 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Riga, Zurich, Naples] and explore these options in order.\n             |- Try arranging to visit Riga from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n             |- Check for direct flight from Nice to Riga.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 20 - 22).\n             |- The departure day of Riga is Day 14. The arrival day of Stockholm is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Riga].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Zurich, Naples] and explore these options in order.\n               |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Riga to Zurich.\n               |- No. Drop this branch.\n               |- Try arranging to visit Naples from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n               |- Check for direct flight from Riga to Naples.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Zurich from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Nice to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 20 - 22).\n             |- The departure day of Zurich is Day 17. The arrival day of Stockholm is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Zurich].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Naples] and explore these options in order.\n               |- Try arranging to visit Riga from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Zurich to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Stockholm (Day 20 - 22).\n               |- The departure day of Riga is Day 18. The arrival day of Stockholm is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 18. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Zurich, Riga].\n                |- Check whether the city with an arrival day of Day 18 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Naples] and explore these options in order.\n                 |- Try arranging to visit Naples from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n                 |- Check for direct flight from Riga to Naples.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Naples from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Zurich to Naples.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Naples from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n             |- Check for direct flight from Nice to Naples.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 20 - 22).\n             |- The departure day of Naples is Day 16. The arrival day of Stockholm is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Naples].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Riga, Zurich] and explore these options in order.\n               |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Naples to Riga.\n               |- No. Drop this branch.\n               |- Try arranging to visit Zurich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Naples to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stockholm (Day 20 - 22).\n               |- The departure day of Zurich is Day 20. The arrival day of Stockholm is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Naples, Zurich].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Stockholm.\n                 |- Try arranging to visit Stockholm from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Zurich to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Naples, Zurich, Stockholm].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                   |- Check for direct flight from Stockholm to Riga.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Berlin, Milan, Seville, Paris, Lyon, Nice, Naples, Zurich, Stockholm, Riga].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Berlin and visit Berlin for 2 days.\n**Day 2:** Fly from Berlin to Milan.\n**Day 2-4:** Visit Milan for 3 days.\n**Day 4:** Fly from Milan to Seville.\n**Day 4-6:** Visit Seville for 3 days.\n**Day 6:** Fly from Seville to Paris.\n**Day 6-10:** Visit Paris for 5 days.\n**Day 10:** Fly from Paris to Lyon.\n**Day 10-12:** Visit Lyon for 3 days.\n**Day 12:** Fly from Lyon to Nice.\n**Day 12-13:** Visit Nice for 2 days.\n**Day 13:** Fly from Nice to Naples.\n**Day 13-16:** Visit Naples for 4 days.\n**Day 16:** Fly from Naples to Zurich.\n**Day 16-20:** Visit Zurich for 5 days.\n**Day 20:** Fly from Zurich to Stockholm.\n**Day 20-22:** Visit Stockholm for 3 days.\n**Day 22:** Fly from Stockholm to Riga.\n**Day 22-23:** Visit Riga for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Rome**Reykjavik**Milan**Valencia**Lyon**Nice**Geneva**Frankfurt**Tallinn**Dublin",
    "ground_truth_durations": "5**4**4**4**2**2**4**3**5**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Lyon",
        "start_day": 14,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Reykjavik"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Reykjavik",
        "Nice"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Nice",
        "Geneva"
      ],
      [
        "Milan",
        "Dublin"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Rome",
        "Lyon"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Dublin"
      ],
      [
        "Tallinn",
        "Dublin"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Nice",
        "Dublin"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Reykjavik",
        "Milan"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Rome",
        "Nice"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 2 days. You would like to visit Reykjavik for 4 days. You plan to stay in Frankfurt for 3 days. You want to spend 4 days in Valencia. You plan to stay in Lyon for 2 days. You would like to meet your friends at Lyon between day 14 and day 15 to tour together. You would like to visit Dublin for 4 days. You are going to attend a wedding in Dublin between day 25 and day 28. You plan to stay in Tallinn for 5 days. You plan to stay in Milan for 4 days. You would like to visit Rome for 5 days. From day 1 to day 5, there is a annual show you want to attend in Rome. You want to spend 4 days in Geneva.\n\nHere are the cities that have direct flights:\nRome and Reykjavik, Reykjavik and Dublin, Valencia and Geneva, Milan and Valencia, Reykjavik and Frankfurt, Valencia and Frankfurt, Reykjavik and Nice, Geneva and Dublin, Nice and Geneva, Milan and Dublin, Rome and Dublin, Rome and Lyon, Milan and Frankfurt, Valencia and Dublin, Tallinn and Dublin, Rome and Frankfurt, Rome and Valencia, Frankfurt and Dublin, Lyon and Nice, Lyon and Frankfurt, Valencia and Lyon, Nice and Dublin, Nice and Frankfurt, Rome and Geneva, Reykjavik and Milan, Geneva and Frankfurt, Rome and Nice, Lyon and Dublin, Frankfurt and Tallinn.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Nice for 2 days. You would like to visit Reykjavik for 4 days. You plan to stay in Frankfurt for 3 days. You want to spend 4 days in Valencia. You plan to stay in Lyon for 2 days. You would like to meet your friends at Lyon between day 14 and day 15 to tour together. You would like to visit Dublin for 4 days. You are going to attend a wedding in Dublin between day 25 and day 28. You plan to stay in Tallinn for 5 days. You plan to stay in Milan for 4 days. You would like to visit Rome for 5 days. From day 1 to day 5, there is a annual show you want to attend in Rome. You want to spend 4 days in Geneva.\n\nHere are the cities that have direct flights:\nfrom Rome to Reykjavik, from Reykjavik to Dublin, from Valencia to Geneva, from Milan to Valencia, from Reykjavik to Frankfurt, from Valencia to Frankfurt, from Reykjavik to Nice, from Geneva to Dublin, from Nice to Geneva, from Milan to Dublin, from Rome to Dublin, from Rome to Lyon, from Milan to Frankfurt, from Valencia to Dublin, from Tallinn to Dublin, from Rome to Frankfurt, from Rome to Valencia, from Frankfurt to Dublin, from Lyon to Nice, from Lyon to Frankfurt, from Valencia to Lyon, from Nice to Dublin, from Nice to Frankfurt, from Rome to Geneva, from Reykjavik to Milan, from Geneva to Frankfurt, from Rome to Nice, from Lyon to Dublin, from Frankfurt to Tallinn.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Reykjavik.\n**Day 5-8:** Visit Reykjavik for 4 days.\n**Day 8:** Fly from Reykjavik to Milan.\n**Day 8-11:** Visit Milan for 4 days.\n**Day 11:** Fly from Milan to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.\n**Day 15:** Fly from Lyon to Nice.\n**Day 15-16:** Visit Nice for 2 days.\n**Day 16:** Fly from Nice to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.\n**Day 21:** Fly from Frankfurt to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.\n**Day 25:** Fly from Tallinn to Dublin.\n**Day 25-28:** Visit Dublin for 4 days.",
    "id": "trip_planning_example_1573",
    "estimated_output_tokens": 8032,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Nice, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Lyon, Duration: 2 days, Fixed Schedule: Day 14 - 15.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Tallinn, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Geneva, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Rome, Fixed Schedule: Day 1 - 5.\n* City: Lyon, Fixed Schedule: Day 14 - 15.\n* City: Dublin, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Nice, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days.\n* City: Frankfurt, Duration: 3 days.\n* City: Valencia, Duration: 4 days.\n* City: Tallinn, Duration: 5 days.\n* City: Milan, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Rome.\n |- Try arranging to visit Rome from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Rome.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lyon (Day 14 - 15).\n |- The departure day of Rome is Day 5. The arrival day of Lyon is Day 14. Day 5 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Rome].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Nice, Reykjavik, Frankfurt, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n   |- Try arranging to visit Nice from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Rome to Nice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 14 - 15).\n   |- The departure day of Nice is Day 6. The arrival day of Lyon is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Rome, Nice].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Reykjavik, Frankfurt, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n     |- Try arranging to visit Reykjavik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Nice to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 14 - 15).\n     |- The departure day of Frankfurt is Day 8. The arrival day of Lyon is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Rome, Nice, Frankfurt].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Frankfurt to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Frankfurt to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 14 - 15).\n       |- The departure day of Tallinn is Day 12. The arrival day of Lyon is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Nice, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Milan, Geneva] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Tallinn to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Tallinn to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Tallinn to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Tallinn to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Frankfurt to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Frankfurt to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Nice to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Nice to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Lyon (Day 14 - 15).\n     |- The departure day of Geneva is Day 9. The arrival day of Lyon is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Nice, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Frankfurt, Valencia, Tallinn, Milan] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Geneva to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 14 - 15).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Lyon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Nice, Geneva, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Valencia, Tallinn, Milan] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 14 - 15).\n         |- The departure day of Tallinn is Day 15. The arrival day of Lyon is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Milan.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Rome to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Lyon (Day 14 - 15).\n   |- The departure day of Reykjavik is Day 8. The arrival day of Lyon is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Rome, Reykjavik].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Nice, Frankfurt, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n     |- Try arranging to visit Nice from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Reykjavik to Nice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 14 - 15).\n     |- The departure day of Nice is Day 9. The arrival day of Lyon is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Rome, Reykjavik, Nice].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Frankfurt, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n       |- Try arranging to visit Frankfurt from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Nice to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 14 - 15).\n       |- The departure day of Frankfurt is Day 11. The arrival day of Lyon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Rome, Reykjavik, Nice, Frankfurt].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 14 - 15).\n         |- The departure day of Tallinn is Day 15. The arrival day of Lyon is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Milan from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Milan.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Frankfurt to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Nice to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Milan from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Nice to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Lyon (Day 14 - 15).\n       |- The departure day of Geneva is Day 12. The arrival day of Lyon is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Rome, Reykjavik, Nice, Geneva].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Frankfurt, Valencia, Tallinn, Milan] and explore these options in order.\n         |- Try arranging to visit Frankfurt from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Geneva to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Lyon (Day 14 - 15).\n         |- The departure day of Frankfurt is Day 14. The arrival day of Lyon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Rome, Reykjavik, Nice, Geneva, Frankfurt].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Lyon.\n           |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Frankfurt to Lyon.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Geneva to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Try arranging to visit Milan from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Geneva to Milan.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Reykjavik to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 14 - 15).\n     |- The departure day of Frankfurt is Day 10. The arrival day of Lyon is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Rome, Reykjavik, Frankfurt].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Valencia, Tallinn, Milan, Geneva] and explore these options in order.\n       |- Try arranging to visit Nice from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n       |- Check for direct flight from Frankfurt to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Frankfurt to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Tallinn from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Frankfurt to Tallinn.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Lyon (Day 14 - 15).\n       |- The departure day of Tallinn is Day 14. The arrival day of Lyon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Reykjavik, Frankfurt, Tallinn].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Tallinn to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Milan from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Frankfurt to Milan.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Frankfurt to Geneva.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Reykjavik to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Tallinn from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Reykjavik to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Reykjavik to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Lyon (Day 14 - 15).\n     |- The departure day of Milan is Day 11. The arrival day of Lyon is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Rome, Reykjavik, Milan].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Nice, Frankfurt, Valencia, Tallinn, Geneva] and explore these options in order.\n       |- Try arranging to visit Nice from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Milan to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Milan to Frankfurt.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 14 - 15).\n       |- The departure day of Frankfurt is Day 13. The arrival day of Lyon is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Rome, Reykjavik, Milan, Frankfurt].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Nice, Valencia, Tallinn, Geneva] and explore these options in order.\n         |- Try arranging to visit Nice from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Frankfurt to Nice.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Frankfurt to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Tallinn from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Frankfurt to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Lyon (Day 14 - 15).\n         |- The departure day of Tallinn is Day 17. The arrival day of Lyon is Day 14. Day 17 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Frankfurt to Geneva.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Valencia from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Milan to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Lyon (Day 14 - 15).\n       |- The departure day of Valencia is Day 14. The arrival day of Lyon is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Rome, Reykjavik, Milan, Valencia].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Lyon.\n         |- Try arranging to visit Lyon from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n         |- Check for direct flight from Valencia to Lyon.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 25 - 28).\n         |- The departure day of Lyon is Day 15. The arrival day of Dublin is Day 25. Day 15 is not later than (<=) Day 25. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Nice, Frankfurt, Tallinn, Geneva] and explore these options in order.\n           |- Try arranging to visit Nice from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Lyon to Nice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Dublin (Day 25 - 28).\n           |- The departure day of Nice is Day 16. The arrival day of Dublin is Day 25. Day 16 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn, Geneva] and explore these options in order.\n             |- Try arranging to visit Frankfurt from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n             |- Check for direct flight from Nice to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dublin (Day 25 - 28).\n             |- The departure day of Frankfurt is Day 18. The arrival day of Dublin is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Frankfurt].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Geneva] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Frankfurt to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Dublin (Day 25 - 28).\n               |- The departure day of Tallinn is Day 22. The arrival day of Dublin is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Frankfurt, Tallinn].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                 |- Try arranging to visit Geneva from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Tallinn to Geneva.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 22 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Geneva from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Frankfurt to Geneva.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Tallinn from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Nice to Tallinn.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Nice to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Dublin (Day 25 - 28).\n             |- The departure day of Geneva is Day 19. The arrival day of Dublin is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Geneva].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Frankfurt, Tallinn] and explore these options in order.\n               |- Try arranging to visit Frankfurt from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Geneva to Frankfurt.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Dublin (Day 25 - 28).\n               |- The departure day of Frankfurt is Day 21. The arrival day of Dublin is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Geneva, Frankfurt].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Tallinn] and explore these options in order.\n                 |- Try arranging to visit Tallinn from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Frankfurt to Tallinn.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Dublin (Day 25 - 28).\n                 |- The departure day of Tallinn is Day 25. The arrival day of Dublin is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Geneva, Frankfurt, Tallinn].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Dublin.\n                   |- Try arranging to visit Dublin from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Tallinn to Dublin.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Rome, Reykjavik, Milan, Valencia, Lyon, Nice, Geneva, Frankfurt, Tallinn, Dublin].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Rome and visit Rome for 5 days.\n**Day 5:** Fly from Rome to Reykjavik.\n**Day 5-8:** Visit Reykjavik for 4 days.\n**Day 8:** Fly from Reykjavik to Milan.\n**Day 8-11:** Visit Milan for 4 days.\n**Day 11:** Fly from Milan to Valencia.\n**Day 11-14:** Visit Valencia for 4 days.\n**Day 14:** Fly from Valencia to Lyon.\n**Day 14-15:** Visit Lyon for 2 days.\n**Day 15:** Fly from Lyon to Nice.\n**Day 15-16:** Visit Nice for 2 days.\n**Day 16:** Fly from Nice to Geneva.\n**Day 16-19:** Visit Geneva for 4 days.\n**Day 19:** Fly from Geneva to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.\n**Day 21:** Fly from Frankfurt to Tallinn.\n**Day 21-25:** Visit Tallinn for 5 days.\n**Day 25:** Fly from Tallinn to Dublin.\n**Day 25-28:** Visit Dublin for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Riga**Vilnius**Paris**Seville**Barcelona**Tallinn**Oslo**Porto**Hamburg**Geneva",
    "ground_truth_durations": "3**5**3**2**5**5**5**4**5**4",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Porto",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 1,
        "end_day": 3
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Hamburg"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Paris",
        "Oslo"
      ],
      [
        "Oslo",
        "Geneva"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Riga",
        "Hamburg"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Tallinn"
      ],
      [
        "Paris",
        "Geneva"
      ],
      [
        "Riga",
        "Vilnius"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Riga",
        "Paris"
      ],
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Geneva"
      ],
      [
        "Paris",
        "Tallinn"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Seville",
        "Barcelona"
      ],
      [
        "Hamburg",
        "Geneva"
      ],
      [
        "Paris",
        "Barcelona"
      ],
      [
        "Oslo",
        "Porto"
      ],
      [
        "Tallinn",
        "Oslo"
      ],
      [
        "Paris",
        "Porto"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Porto",
        "Hamburg"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Paris",
        "Seville"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You plan to stay in Hamburg for 5 days. You would like to visit Seville for 2 days. You want to spend 5 days in Barcelona. You plan to stay in Tallinn for 5 days. From day 14 to day 18, there is a annual show you want to attend in Tallinn. You want to spend 5 days in Oslo. You want to spend 3 days in Paris. You want to spend 4 days in Geneva. You would like to visit Porto for 4 days. You want to meet a friend in Porto between day 22 and day 25. You would like to visit Riga for 3 days. You would like to meet your friends at Riga between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nParis and Hamburg, Barcelona and Porto, Barcelona and Hamburg, Paris and Oslo, Oslo and Geneva, Vilnius and Oslo, Porto and Geneva, from Riga to Hamburg, Riga and Oslo, Riga and Barcelona, Barcelona and Tallinn, Paris and Geneva, from Riga to Vilnius, Oslo and Hamburg, Seville and Porto, Riga and Paris, from Tallinn to Vilnius, Barcelona and Geneva, Paris and Tallinn, Vilnius and Paris, Seville and Barcelona, from Hamburg to Geneva, Paris and Barcelona, Oslo and Porto, Tallinn and Oslo, Paris and Porto, Barcelona and Oslo, Porto and Hamburg, from Riga to Tallinn, Paris and Seville.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Vilnius for 5 days. You plan to stay in Hamburg for 5 days. You would like to visit Seville for 2 days. You want to spend 5 days in Barcelona. You plan to stay in Tallinn for 5 days. From day 14 to day 18, there is a annual show you want to attend in Tallinn. You want to spend 5 days in Oslo. You want to spend 3 days in Paris. You want to spend 4 days in Geneva. You would like to visit Porto for 4 days. You want to meet a friend in Porto between day 22 and day 25. You would like to visit Riga for 3 days. You would like to meet your friends at Riga between day 1 and day 3 to tour together.\n\nHere are the cities that have direct flights:\nfrom Paris to Hamburg, from Barcelona to Porto, from Barcelona to Hamburg, from Paris to Oslo, from Oslo to Geneva, from Vilnius to Oslo, from Porto to Geneva, from Riga to Hamburg, from Riga to Oslo, from Riga to Barcelona, from Barcelona to Tallinn, from Paris to Geneva, from Riga to Vilnius, from Oslo to Hamburg, from Seville to Porto, from Riga to Paris, from Tallinn to Vilnius, from Barcelona to Geneva, from Paris to Tallinn, from Vilnius to Paris, from Seville to Barcelona, from Hamburg to Geneva, from Paris to Barcelona, from Oslo to Porto, from Tallinn to Oslo, from Paris to Porto, from Barcelona to Oslo, from Porto to Hamburg, from Riga to Tallinn, from Paris to Seville.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Vilnius.\n**Day 3-7:** Visit Vilnius for 5 days.\n**Day 7:** Fly from Vilnius to Paris.\n**Day 7-9:** Visit Paris for 3 days.\n**Day 9:** Fly from Paris to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Barcelona.\n**Day 10-14:** Visit Barcelona for 5 days.\n**Day 14:** Fly from Barcelona to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Oslo.\n**Day 18-22:** Visit Oslo for 5 days.\n**Day 22:** Fly from Oslo to Porto.\n**Day 22-25:** Visit Porto for 4 days.\n**Day 25:** Fly from Porto to Hamburg.\n**Day 25-29:** Visit Hamburg for 5 days.\n**Day 29:** Fly from Hamburg to Geneva.\n**Day 29-32:** Visit Geneva for 4 days.",
    "id": "trip_planning_example_1574",
    "estimated_output_tokens": 3980,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vilnius, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Barcelona, Duration: 5 days.\n* City: Tallinn, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Oslo, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n* City: Porto, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Riga, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Riga, Fixed Schedule: Day 1 - 3.\n* City: Tallinn, Fixed Schedule: Day 14 - 18.\n* City: Porto, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Vilnius, Duration: 5 days.\n* City: Hamburg, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Barcelona, Duration: 5 days.\n* City: Oslo, Duration: 5 days.\n* City: Paris, Duration: 3 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Riga.\n |- Try arranging to visit Riga from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Riga.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Tallinn (Day 14 - 18).\n |- The departure day of Riga is Day 3. The arrival day of Tallinn is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Riga].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vilnius, Hamburg, Seville, Barcelona, Oslo, Paris, Geneva] and explore these options in order.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Riga to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Tallinn (Day 14 - 18).\n   |- The departure day of Vilnius is Day 7. The arrival day of Tallinn is Day 14. Day 7 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Riga, Vilnius].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Seville, Barcelona, Oslo, Paris, Geneva] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vilnius to Hamburg.\n     |- No. Drop this branch.\n     |- Try arranging to visit Seville from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Vilnius to Seville.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vilnius to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Oslo from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vilnius to Oslo.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 14 - 18).\n     |- The departure day of Oslo is Day 11. The arrival day of Tallinn is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Riga, Vilnius, Oslo].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Seville, Barcelona, Paris, Geneva] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Oslo to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 14 - 18).\n       |- The departure day of Hamburg is Day 15. The arrival day of Tallinn is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Seville from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Oslo to Seville.\n       |- No. Drop this branch.\n       |- Try arranging to visit Barcelona from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Oslo to Barcelona.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n       |- Check for direct flight from Oslo to Paris.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Oslo to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 14 - 18).\n       |- The departure day of Geneva is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Riga, Vilnius, Oslo, Geneva].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Geneva to Tallinn.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Paris from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vilnius to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Tallinn (Day 14 - 18).\n     |- The departure day of Paris is Day 9. The arrival day of Tallinn is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Riga, Vilnius, Paris].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Seville, Barcelona, Oslo, Geneva] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Paris to Hamburg.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 14 - 18).\n       |- The departure day of Hamburg is Day 13. The arrival day of Tallinn is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Riga, Vilnius, Paris, Hamburg].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona, Oslo, Geneva] and explore these options in order.\n         |- Try arranging to visit Seville from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n         |- Check for direct flight from Hamburg to Seville.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Hamburg to Barcelona.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n         |- Check for direct flight from Hamburg to Oslo.\n         |- No. Drop this branch.\n         |- Try arranging to visit Geneva from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Hamburg to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Tallinn (Day 14 - 18).\n         |- The departure day of Geneva is Day 16. The arrival day of Tallinn is Day 14. Day 16 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Seville from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Paris to Seville.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 14 - 18).\n       |- The departure day of Seville is Day 10. The arrival day of Tallinn is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Riga, Vilnius, Paris, Seville].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Barcelona, Oslo, Geneva] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Seville to Hamburg.\n         |- No. Drop this branch.\n         |- Try arranging to visit Barcelona from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Seville to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 14 - 18).\n         |- The departure day of Barcelona is Day 14. The arrival day of Tallinn is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Barcelona to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Porto (Day 22 - 25).\n           |- The departure day of Tallinn is Day 18. The arrival day of Porto is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Hamburg, Oslo, Geneva] and explore these options in order.\n             |- Try arranging to visit Hamburg from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Tallinn to Hamburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Oslo from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n             |- Check for direct flight from Tallinn to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Porto (Day 22 - 25).\n             |- The departure day of Oslo is Day 22. The arrival day of Porto is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 22. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona, Tallinn, Oslo].\n              |- Check whether the city with an arrival day of Day 22 - is fixed.\n              |- Yes. The city with an arrival day of Day 22 - is fixed: Porto.\n               |- Try arranging to visit Porto from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n               |- Check for direct flight from Oslo to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona, Tallinn, Oslo, Porto].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg, Geneva] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Porto to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona, Tallinn, Oslo, Porto, Hamburg].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Geneva] and explore these options in order.\n                   |- Try arranging to visit Geneva from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                   |- Check for direct flight from Hamburg to Geneva.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Riga, Vilnius, Paris, Seville, Barcelona, Tallinn, Oslo, Porto, Hamburg, Geneva].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Riga and visit Riga for 3 days.\n**Day 3:** Fly from Riga to Vilnius.\n**Day 3-7:** Visit Vilnius for 5 days.\n**Day 7:** Fly from Vilnius to Paris.\n**Day 7-9:** Visit Paris for 3 days.\n**Day 9:** Fly from Paris to Seville.\n**Day 9-10:** Visit Seville for 2 days.\n**Day 10:** Fly from Seville to Barcelona.\n**Day 10-14:** Visit Barcelona for 5 days.\n**Day 14:** Fly from Barcelona to Tallinn.\n**Day 14-18:** Visit Tallinn for 5 days.\n**Day 18:** Fly from Tallinn to Oslo.\n**Day 18-22:** Visit Oslo for 5 days.\n**Day 22:** Fly from Oslo to Porto.\n**Day 22-25:** Visit Porto for 4 days.\n**Day 25:** Fly from Porto to Hamburg.\n**Day 25-29:** Visit Hamburg for 5 days.\n**Day 29:** Fly from Hamburg to Geneva.\n**Day 29-32:** Visit Geneva for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Rome**Lisbon**Berlin**Krakow**Manchester**Santorini**Vienna**Vilnius**Munich",
    "ground_truth_durations": "5**4**4**4**5**3**5**4**2**5",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 27,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 11,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Santorini",
        "Vienna"
      ],
      [
        "Krakow",
        "Manchester"
      ],
      [
        "Berlin",
        "Vienna"
      ],
      [
        "Manchester",
        "Munich"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Krakow",
        "Munich"
      ],
      [
        "Rome",
        "Lisbon"
      ],
      [
        "Rome",
        "Manchester"
      ],
      [
        "Lisbon",
        "Berlin"
      ],
      [
        "Berlin",
        "Manchester"
      ],
      [
        "Lisbon",
        "Manchester"
      ],
      [
        "Copenhagen",
        "Berlin"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Lisbon",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Berlin",
        "Krakow"
      ],
      [
        "Lisbon",
        "Munich"
      ],
      [
        "Copenhagen",
        "Vienna"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Manchester",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Lisbon"
      ],
      [
        "Copenhagen",
        "Manchester"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Manchester",
        "Santorini"
      ],
      [
        "Lisbon",
        "Krakow"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Rome",
        "Vienna"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Krakow",
        "Vienna"
      ],
      [
        "Berlin",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You plan to stay in Copenhagen for 5 days. You plan to visit relatives in Copenhagen between day 1 and day 5. You plan to stay in Rome for 4 days. From day 5 to day 8, there is a annual show you want to attend in Rome. You plan to stay in Manchester for 3 days. You want to spend 4 days in Vienna. You would like to visit Vilnius for 2 days. You would like to meet your friends at Vilnius between day 27 and day 28 to tour together. You would like to visit Berlin for 4 days. During day 11 and day 14, you have to attend a conference in Berlin. You would like to visit Lisbon for 4 days. You want to spend 5 days in Santorini. You are going to attend a wedding in Santorini between day 20 and day 24. You want to spend 5 days in Krakow.\n\nHere are the cities that have direct flights:\nSantorini and Vienna, Krakow and Manchester, Berlin and Vienna, Manchester and Munich, Copenhagen and Rome, Vienna and Munich, Berlin and Munich, Krakow and Munich, Rome and Lisbon, Rome and Manchester, Lisbon and Berlin, Berlin and Manchester, Lisbon and Manchester, Copenhagen and Berlin, Copenhagen and Krakow, Lisbon and Vienna, Copenhagen and Santorini, Berlin and Krakow, Lisbon and Munich, Copenhagen and Vienna, Rome and Berlin, Manchester and Vienna, Copenhagen and Lisbon, Copenhagen and Manchester, Rome and Santorini, Rome and Munich, from Krakow to Vilnius, Vienna and Vilnius, Manchester and Santorini, Lisbon and Krakow, Copenhagen and Vilnius, Copenhagen and Munich, Rome and Vienna, from Vilnius to Munich, Krakow and Vienna, Berlin and Vilnius.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You plan to stay in Copenhagen for 5 days. You plan to visit relatives in Copenhagen between day 1 and day 5. You plan to stay in Rome for 4 days. From day 5 to day 8, there is a annual show you want to attend in Rome. You plan to stay in Manchester for 3 days. You want to spend 4 days in Vienna. You would like to visit Vilnius for 2 days. You would like to meet your friends at Vilnius between day 27 and day 28 to tour together. You would like to visit Berlin for 4 days. During day 11 and day 14, you have to attend a conference in Berlin. You would like to visit Lisbon for 4 days. You want to spend 5 days in Santorini. You are going to attend a wedding in Santorini between day 20 and day 24. You want to spend 5 days in Krakow.\n\nHere are the cities that have direct flights:\nfrom Santorini to Vienna, from Krakow to Manchester, from Berlin to Vienna, from Manchester to Munich, from Copenhagen to Rome, from Vienna to Munich, from Berlin to Munich, from Krakow to Munich, from Rome to Lisbon, from Rome to Manchester, from Lisbon to Berlin, from Berlin to Manchester, from Lisbon to Manchester, from Copenhagen to Berlin, from Copenhagen to Krakow, from Lisbon to Vienna, from Copenhagen to Santorini, from Berlin to Krakow, from Lisbon to Munich, from Copenhagen to Vienna, from Rome to Berlin, from Manchester to Vienna, from Copenhagen to Lisbon, from Copenhagen to Manchester, from Rome to Santorini, from Rome to Munich, from Krakow to Vilnius, from Vienna to Vilnius, from Manchester to Santorini, from Lisbon to Krakow, from Copenhagen to Vilnius, from Copenhagen to Munich, from Rome to Vienna, from Vilnius to Munich, from Krakow to Vienna, from Berlin to Vilnius.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Krakow.\n**Day 14-18:** Visit Krakow for 5 days.\n**Day 18:** Fly from Krakow to Manchester.\n**Day 18-20:** Visit Manchester for 3 days.\n**Day 20:** Fly from Manchester to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.\n**Day 24:** Fly from Santorini to Vienna.\n**Day 24-27:** Visit Vienna for 4 days.\n**Day 27:** Fly from Vienna to Vilnius.\n**Day 27-28:** Visit Vilnius for 2 days.\n**Day 28:** Fly from Vilnius to Munich.\n**Day 28-32:** Visit Munich for 5 days.",
    "id": "trip_planning_example_1575",
    "estimated_output_tokens": 5342,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Rome, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Manchester, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 27 - 28.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n* City: Lisbon, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Krakow, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 8.\n* City: Berlin, Fixed Schedule: Day 11 - 14.\n* City: Santorini, Fixed Schedule: Day 20 - 24.\n* City: Vilnius, Fixed Schedule: Day 27 - 28.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Manchester, Duration: 3 days.\n* City: Vienna, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Krakow, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Rome (Day 5 - 8).\n |- The departure day of Copenhagen is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n   |- Try arranging to visit Rome from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Berlin (Day 11 - 14).\n   |- The departure day of Rome is Day 8. The arrival day of Berlin is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Copenhagen, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Vienna, Lisbon, Krakow] and explore these options in order.\n     |- Try arranging to visit Munich from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Rome to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 11 - 14).\n     |- The departure day of Munich is Day 12. The arrival day of Berlin is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Manchester from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n     |- Check for direct flight from Rome to Manchester.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 11 - 14).\n     |- The departure day of Manchester is Day 10. The arrival day of Berlin is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Rome, Manchester].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Vienna, Lisbon, Krakow] and explore these options in order.\n       |- Try arranging to visit Munich from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Manchester to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 14).\n       |- The departure day of Munich is Day 14. The arrival day of Berlin is Day 11. Day 14 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Vienna from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Manchester to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Berlin (Day 11 - 14).\n       |- The departure day of Vienna is Day 13. The arrival day of Berlin is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Lisbon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Manchester to Lisbon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Krakow from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n       |- Check for direct flight from Manchester to Krakow.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 11 - 14).\n     |- The departure day of Vienna is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Rome, Vienna].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Vienna to Berlin.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 11 - 14).\n     |- The departure day of Lisbon is Day 11. The arrival day of Berlin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Copenhagen, Rome, Lisbon].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Berlin.\n       |- Try arranging to visit Berlin from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n       |- Check for direct flight from Lisbon to Berlin.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Santorini (Day 20 - 24).\n       |- The departure day of Berlin is Day 14. The arrival day of Santorini is Day 20. Day 14 is not later than (<=) Day 20. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Copenhagen, Rome, Lisbon, Berlin].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Vienna, Krakow] and explore these options in order.\n         |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Berlin to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 20 - 24).\n         |- The departure day of Munich is Day 18. The arrival day of Santorini is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Munich].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Vienna, Krakow] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Munich to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Vienna from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Munich to Vienna.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Munich to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Manchester from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n         |- Check for direct flight from Berlin to Manchester.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 20 - 24).\n         |- The departure day of Manchester is Day 16. The arrival day of Santorini is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Manchester].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Vienna, Krakow] and explore these options in order.\n           |- Try arranging to visit Munich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Manchester to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Santorini (Day 20 - 24).\n           |- The departure day of Munich is Day 20. The arrival day of Santorini is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Manchester, Munich].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Munich to Santorini.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vienna from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Manchester to Vienna.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Santorini (Day 20 - 24).\n           |- The departure day of Vienna is Day 19. The arrival day of Santorini is Day 20. Day 19 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 19. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Manchester, Vienna].\n            |- Check whether the city with an arrival day of Day 19 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Munich, Krakow] and explore these options in order.\n             |- Try arranging to visit Munich from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vienna to Munich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Santorini (Day 20 - 24).\n             |- The departure day of Munich is Day 23. The arrival day of Santorini is Day 20. Day 23 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n             |- Try arranging to visit Krakow from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n             |- Check for direct flight from Vienna to Krakow.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Manchester to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Vienna from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Berlin to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 20 - 24).\n         |- The departure day of Vienna is Day 17. The arrival day of Santorini is Day 20. Day 17 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 17. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Vienna].\n          |- Check whether the city with an arrival day of Day 17 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Krakow] and explore these options in order.\n           |- Try arranging to visit Munich from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vienna to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Santorini (Day 20 - 24).\n           |- The departure day of Munich is Day 21. The arrival day of Santorini is Day 20. Day 21 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Manchester from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n           |- Check for direct flight from Vienna to Manchester.\n           |- No. Drop this branch.\n           |- Try arranging to visit Krakow from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n           |- Check for direct flight from Vienna to Krakow.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Krakow from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Berlin to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Santorini (Day 20 - 24).\n         |- The departure day of Krakow is Day 18. The arrival day of Santorini is Day 20. Day 18 is not later than (<=) Day 20. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Manchester, Vienna] and explore these options in order.\n           |- Try arranging to visit Munich from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Krakow to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 20 - 24).\n           |- The departure day of Munich is Day 22. The arrival day of Santorini is Day 20. Day 22 is later than (>) Day 20. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Manchester from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Krakow to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Santorini (Day 20 - 24).\n           |- The departure day of Manchester is Day 20. The arrival day of Santorini is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow, Manchester].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- Yes. The city with an arrival day of Day 20 - is fixed: Santorini.\n             |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Manchester to Santorini.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 27 - 28).\n             |- The departure day of Santorini is Day 24. The arrival day of Vilnius is Day 27. Day 24 is not later than (<=) Day 27. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 24. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow, Manchester, Santorini].\n              |- Check whether the city with an arrival day of Day 24 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Munich, Vienna] and explore these options in order.\n               |- Try arranging to visit Munich from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n               |- Check for direct flight from Santorini to Munich.\n               |- No. Drop this branch.\n               |- Try arranging to visit Vienna from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n               |- Check for direct flight from Santorini to Vienna.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Vilnius (Day 27 - 28).\n               |- The departure day of Vienna is Day 27. The arrival day of Vilnius is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow, Manchester, Santorini, Vienna].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- Yes. The city with an arrival day of Day 27 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                 |- Check for direct flight from Vienna to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow, Manchester, Santorini, Vienna, Vilnius].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Munich] and explore these options in order.\n                   |- Try arranging to visit Munich from Day 28. Duration: 5 days. Schedule: Day 28 - 32.\n                   |- Check for direct flight from Vilnius to Munich.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Copenhagen, Rome, Lisbon, Berlin, Krakow, Manchester, Santorini, Vienna, Vilnius, Munich].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Copenhagen and visit Copenhagen for 5 days.\n**Day 5:** Fly from Copenhagen to Rome.\n**Day 5-8:** Visit Rome for 4 days.\n**Day 8:** Fly from Rome to Lisbon.\n**Day 8-11:** Visit Lisbon for 4 days.\n**Day 11:** Fly from Lisbon to Berlin.\n**Day 11-14:** Visit Berlin for 4 days.\n**Day 14:** Fly from Berlin to Krakow.\n**Day 14-18:** Visit Krakow for 5 days.\n**Day 18:** Fly from Krakow to Manchester.\n**Day 18-20:** Visit Manchester for 3 days.\n**Day 20:** Fly from Manchester to Santorini.\n**Day 20-24:** Visit Santorini for 5 days.\n**Day 24:** Fly from Santorini to Vienna.\n**Day 24-27:** Visit Vienna for 4 days.\n**Day 27:** Fly from Vienna to Vilnius.\n**Day 27-28:** Visit Vilnius for 2 days.\n**Day 28:** Fly from Vilnius to Munich.\n**Day 28-32:** Visit Munich for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Mykonos**Zurich**Edinburgh**Porto**Valencia**Prague**Reykjavik**Frankfurt**Salzburg",
    "ground_truth_durations": "2**5**3**2**5**3**2**5**5**2",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 13,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 6,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Prague"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "Zurich",
        "Reykjavik"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Prague",
        "Reykjavik"
      ],
      [
        "Madrid",
        "Valencia"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Zurich",
        "Porto"
      ],
      [
        "Madrid",
        "Edinburgh"
      ],
      [
        "Zurich",
        "Valencia"
      ],
      [
        "Edinburgh",
        "Porto"
      ],
      [
        "Reykjavik",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Edinburgh"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Prague"
      ],
      [
        "Edinburgh",
        "Prague"
      ],
      [
        "Frankfurt",
        "Salzburg"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Porto"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Edinburgh",
        "Frankfurt"
      ],
      [
        "Madrid",
        "Prague"
      ],
      [
        "Madrid",
        "Mykonos"
      ],
      [
        "Madrid",
        "Frankfurt"
      ],
      [
        "Mykonos",
        "Zurich"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to spend 5 days in Frankfurt. From day 20 to day 24, there is a annual show you want to attend in Frankfurt. You would like to visit Madrid for 2 days. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 13 and day 15 to tour together. You plan to stay in Porto for 5 days. You want to spend 2 days in Edinburgh. You have to attend a workshop in Edinburgh between day 8 and day 9. You want to spend 2 days in Salzburg. You would like to visit Prague for 2 days. You plan to stay in Mykonos for 5 days. You want to meet a friend in Mykonos between day 2 and day 6. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 6 and day 8.\n\nHere are the cities that have direct flights:\nValencia and Prague, Madrid and Zurich, Zurich and Reykjavik, Prague and Frankfurt, Prague and Reykjavik, Madrid and Valencia, Porto and Valencia, Zurich and Porto, Madrid and Edinburgh, Zurich and Valencia, Edinburgh and Porto, Reykjavik and Frankfurt, Zurich and Edinburgh, Zurich and Frankfurt, Zurich and Prague, Edinburgh and Prague, Frankfurt and Salzburg, from Reykjavik to Madrid, Valencia and Frankfurt, Madrid and Porto, Porto and Frankfurt, Edinburgh and Frankfurt, Madrid and Prague, Madrid and Mykonos, Madrid and Frankfurt, Mykonos and Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Reykjavik for 5 days. You want to spend 5 days in Frankfurt. From day 20 to day 24, there is a annual show you want to attend in Frankfurt. You would like to visit Madrid for 2 days. You want to spend 3 days in Valencia. You would like to meet your friends at Valencia between day 13 and day 15 to tour together. You plan to stay in Porto for 5 days. You want to spend 2 days in Edinburgh. You have to attend a workshop in Edinburgh between day 8 and day 9. You want to spend 2 days in Salzburg. You would like to visit Prague for 2 days. You plan to stay in Mykonos for 5 days. You want to meet a friend in Mykonos between day 2 and day 6. You plan to stay in Zurich for 3 days. You are going to attend a wedding in Zurich between day 6 and day 8.\n\nHere are the cities that have direct flights:\nfrom Valencia to Prague, from Madrid to Zurich, from Zurich to Reykjavik, from Prague to Frankfurt, from Prague to Reykjavik, from Madrid to Valencia, from Porto to Valencia, from Zurich to Porto, from Madrid to Edinburgh, from Zurich to Valencia, from Edinburgh to Porto, from Reykjavik to Frankfurt, from Zurich to Edinburgh, from Zurich to Frankfurt, from Zurich to Prague, from Edinburgh to Prague, from Frankfurt to Salzburg, from Reykjavik to Madrid, from Valencia to Frankfurt, from Madrid to Porto, from Porto to Frankfurt, from Edinburgh to Frankfurt, from Madrid to Prague, from Madrid to Mykonos, from Madrid to Frankfurt, from Mykonos to Zurich.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Mykonos.\n**Day 2-6:** Visit Mykonos for 5 days.\n**Day 6:** Fly from Mykonos to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Prague.\n**Day 15-16:** Visit Prague for 2 days.\n**Day 16:** Fly from Prague to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.\n**Day 20:** Fly from Reykjavik to Frankfurt.\n**Day 20-24:** Visit Frankfurt for 5 days.\n**Day 24:** Fly from Frankfurt to Salzburg.\n**Day 24-25:** Visit Salzburg for 2 days.",
    "id": "trip_planning_example_1576",
    "estimated_output_tokens": 2844,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Reykjavik, Duration: 5 days.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Madrid, Duration: 2 days.\n* City: Valencia, Duration: 3 days, Fixed Schedule: Day 13 - 15.\n* City: Porto, Duration: 5 days.\n* City: Edinburgh, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Salzburg, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n* City: Mykonos, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Zurich, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 2 - 6.\n* City: Zurich, Fixed Schedule: Day 6 - 8.\n* City: Edinburgh, Fixed Schedule: Day 8 - 9.\n* City: Valencia, Fixed Schedule: Day 13 - 15.\n* City: Frankfurt, Fixed Schedule: Day 20 - 24.\n\nCities needing arrangement:\n* City: Reykjavik, Duration: 5 days.\n* City: Madrid, Duration: 2 days.\n* City: Porto, Duration: 5 days.\n* City: Salzburg, Duration: 2 days.\n* City: Prague, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Reykjavik, Madrid, Porto, Salzburg, Prague] and explore these options in order.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 2 - 6).\n |- The departure day of Reykjavik is Day 5. The arrival day of Mykonos is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Mykonos (Day 2 - 6).\n |- The departure day of Madrid is Day 2. The arrival day of Mykonos is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Mykonos.\n   |- Try arranging to visit Mykonos from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Zurich (Day 6 - 8).\n   |- The departure day of Mykonos is Day 6. The arrival day of Zurich is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Mykonos].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Zurich.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Zurich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Edinburgh (Day 8 - 9).\n     |- The departure day of Zurich is Day 8. The arrival day of Edinburgh is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Madrid, Mykonos, Zurich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Edinburgh.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Zurich to Edinburgh.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Valencia (Day 13 - 15).\n       |- The departure day of Edinburgh is Day 9. The arrival day of Valencia is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Madrid, Mykonos, Zurich, Edinburgh].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Porto, Salzburg, Prague] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Porto from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Edinburgh to Porto.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Valencia (Day 13 - 15).\n         |- The departure day of Porto is Day 13. The arrival day of Valencia is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Valencia.\n           |- Try arranging to visit Valencia from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Porto to Valencia.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Frankfurt (Day 20 - 24).\n           |- The departure day of Valencia is Day 15. The arrival day of Frankfurt is Day 20. Day 15 is not later than (<=) Day 20. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto, Valencia].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Salzburg, Prague] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Valencia to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Valencia to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Prague from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Valencia to Prague.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 20 - 24).\n             |- The departure day of Prague is Day 16. The arrival day of Frankfurt is Day 20. Day 16 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto, Valencia, Prague].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Reykjavik, Salzburg] and explore these options in order.\n               |- Try arranging to visit Reykjavik from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n               |- Check for direct flight from Prague to Reykjavik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 20 - 24).\n               |- The departure day of Reykjavik is Day 20. The arrival day of Frankfurt is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto, Valencia, Prague, Reykjavik].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- Yes. The city with an arrival day of Day 20 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Reykjavik to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto, Valencia, Prague, Reykjavik, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                   |- Check for direct flight from Frankfurt to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Madrid, Mykonos, Zurich, Edinburgh, Porto, Valencia, Prague, Reykjavik, Frankfurt, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Mykonos.\n**Day 2-6:** Visit Mykonos for 5 days.\n**Day 6:** Fly from Mykonos to Zurich.\n**Day 6-8:** Visit Zurich for 3 days.\n**Day 8:** Fly from Zurich to Edinburgh.\n**Day 8-9:** Visit Edinburgh for 2 days.\n**Day 9:** Fly from Edinburgh to Porto.\n**Day 9-13:** Visit Porto for 5 days.\n**Day 13:** Fly from Porto to Valencia.\n**Day 13-15:** Visit Valencia for 3 days.\n**Day 15:** Fly from Valencia to Prague.\n**Day 15-16:** Visit Prague for 2 days.\n**Day 16:** Fly from Prague to Reykjavik.\n**Day 16-20:** Visit Reykjavik for 5 days.\n**Day 20:** Fly from Reykjavik to Frankfurt.\n**Day 20-24:** Visit Frankfurt for 5 days.\n**Day 24:** Fly from Frankfurt to Salzburg.\n**Day 24-25:** Visit Salzburg for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Munich**Dubrovnik**Istanbul**Amsterdam**Stuttgart**Edinburgh**Riga**Berlin**Salzburg",
    "ground_truth_durations": "5**3**2**5**3**4**5**5**4**4",
    "num_cities": 10,
    "total_days": 31,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 12,
        "end_day": 14
      },
      {
        "type": "duration",
        "city": "Salzburg",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Dubrovnik",
        "start_day": 7,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 21,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Berlin",
        "Salzburg"
      ],
      [
        "Munich",
        "Istanbul"
      ],
      [
        "Edinburgh",
        "Berlin"
      ],
      [
        "Munich",
        "Dubrovnik"
      ],
      [
        "Istanbul",
        "Edinburgh"
      ],
      [
        "Amsterdam",
        "Riga"
      ],
      [
        "Istanbul",
        "Berlin"
      ],
      [
        "Porto",
        "Stuttgart"
      ],
      [
        "Porto",
        "Amsterdam"
      ],
      [
        "Porto",
        "Berlin"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Munich",
        "Berlin"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "Salzburg"
      ],
      [
        "Stuttgart",
        "Berlin"
      ],
      [
        "Stuttgart",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Edinburgh"
      ],
      [
        "Porto",
        "Istanbul"
      ],
      [
        "Porto",
        "Munich"
      ],
      [
        "Amsterdam",
        "Berlin"
      ],
      [
        "Munich",
        "Edinburgh"
      ],
      [
        "Porto",
        "Edinburgh"
      ],
      [
        "Istanbul",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Riga",
        "Berlin"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You plan to stay in Porto for 5 days. You plan to stay in Edinburgh for 5 days. You would like to visit Amsterdam for 3 days. From day 12 to day 14, there is a annual show you want to attend in Amsterdam. You plan to stay in Salzburg for 4 days. You plan to stay in Istanbul for 5 days. You want to spend 4 days in Berlin. You plan to stay in Dubrovnik for 2 days. During day 7 and day 8, you have to attend a conference in Dubrovnik. You plan to stay in Stuttgart for 4 days. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 21 and day 25.\n\nHere are the cities that have direct flights:\nBerlin and Salzburg, Munich and Istanbul, Edinburgh and Berlin, Munich and Dubrovnik, Istanbul and Edinburgh, Amsterdam and Riga, Istanbul and Berlin, Porto and Stuttgart, Porto and Amsterdam, Porto and Berlin, from Riga to Munich, Edinburgh and Riga, Munich and Amsterdam, from Dubrovnik to Istanbul, Munich and Berlin, Istanbul and Riga, Istanbul and Salzburg, Stuttgart and Berlin, Stuttgart and Edinburgh, Dubrovnik and Amsterdam, Amsterdam and Edinburgh, Porto and Istanbul, Porto and Munich, Amsterdam and Berlin, Munich and Edinburgh, Porto and Edinburgh, Istanbul and Amsterdam, Amsterdam and Stuttgart, Riga and Berlin, Istanbul and Stuttgart.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 31 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Munich. You plan to stay in Porto for 5 days. You plan to stay in Edinburgh for 5 days. You would like to visit Amsterdam for 3 days. From day 12 to day 14, there is a annual show you want to attend in Amsterdam. You plan to stay in Salzburg for 4 days. You plan to stay in Istanbul for 5 days. You want to spend 4 days in Berlin. You plan to stay in Dubrovnik for 2 days. During day 7 and day 8, you have to attend a conference in Dubrovnik. You plan to stay in Stuttgart for 4 days. You plan to stay in Riga for 5 days. You are going to attend a wedding in Riga between day 21 and day 25.\n\nHere are the cities that have direct flights:\nfrom Berlin to Salzburg, from Munich to Istanbul, from Edinburgh to Berlin, from Munich to Dubrovnik, from Istanbul to Edinburgh, from Amsterdam to Riga, from Istanbul to Berlin, from Porto to Stuttgart, from Porto to Amsterdam, from Porto to Berlin, from Riga to Munich, from Edinburgh to Riga, from Munich to Amsterdam, from Dubrovnik to Istanbul, from Munich to Berlin, from Istanbul to Riga, from Istanbul to Salzburg, from Stuttgart to Berlin, from Stuttgart to Edinburgh, from Dubrovnik to Amsterdam, from Amsterdam to Edinburgh, from Porto to Istanbul, from Porto to Munich, from Amsterdam to Berlin, from Munich to Edinburgh, from Porto to Edinburgh, from Istanbul to Amsterdam, from Amsterdam to Stuttgart, from Riga to Berlin, from Istanbul to Stuttgart.\n\nFind a trip plan of visiting the cities for 31 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 31 days:\n\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Edinburgh.\n**Day 17-21:** Visit Edinburgh for 5 days.\n**Day 21:** Fly from Edinburgh to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Berlin.\n**Day 25-28:** Visit Berlin for 4 days.\n**Day 28:** Fly from Berlin to Salzburg.\n**Day 28-31:** Visit Salzburg for 4 days.",
    "id": "trip_planning_example_1577",
    "estimated_output_tokens": 5324,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Amsterdam, Duration: 3 days, Fixed Schedule: Day 12 - 14.\n* City: Salzburg, Duration: 4 days.\n* City: Istanbul, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Dubrovnik, Duration: 2 days, Fixed Schedule: Day 7 - 8.\n* City: Stuttgart, Duration: 4 days.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 21 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Dubrovnik, Fixed Schedule: Day 7 - 8.\n* City: Amsterdam, Fixed Schedule: Day 12 - 14.\n* City: Riga, Fixed Schedule: Day 21 - 25.\n\nCities needing arrangement:\n* City: Munich, Duration: 3 days.\n* City: Porto, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days.\n* City: Salzburg, Duration: 4 days.\n* City: Istanbul, Duration: 5 days.\n* City: Berlin, Duration: 4 days.\n* City: Stuttgart, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Munich, Porto, Edinburgh, Salzburg, Istanbul, Berlin, Stuttgart] and explore these options in order.\n |- Try arranging to visit Munich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Munich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 7 - 8).\n |- The departure day of Munich is Day 3. The arrival day of Dubrovnik is Day 7. Day 3 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Munich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Edinburgh, Salzburg, Istanbul, Berlin, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Porto from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Edinburgh from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Edinburgh.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 7 - 8).\n   |- The departure day of Edinburgh is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Edinburgh].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Edinburgh to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Salzburg from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Munich to Salzburg.\n   |- No. Drop this branch.\n   |- Try arranging to visit Istanbul from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Munich to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 7 - 8).\n   |- The departure day of Istanbul is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Munich, Istanbul].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Istanbul to Dubrovnik.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Berlin from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Munich to Berlin.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Dubrovnik (Day 7 - 8).\n   |- The departure day of Berlin is Day 6. The arrival day of Dubrovnik is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Munich, Berlin].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Porto, Edinburgh, Salzburg, Istanbul, Stuttgart] and explore these options in order.\n     |- Try arranging to visit Porto from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Berlin to Porto.\n     |- No. Drop this branch.\n     |- Try arranging to visit Edinburgh from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Berlin to Edinburgh.\n     |- No. Drop this branch.\n     |- Try arranging to visit Salzburg from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Berlin to Salzburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dubrovnik (Day 7 - 8).\n     |- The departure day of Salzburg is Day 9. The arrival day of Dubrovnik is Day 7. Day 9 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Istanbul from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Berlin to Istanbul.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stuttgart from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Berlin to Stuttgart.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Munich to Stuttgart.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Dubrovnik (Day 7 - 8).\n |- The departure day of Porto is Day 5. The arrival day of Dubrovnik is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Edinburgh, Salzburg, Istanbul, Berlin, Stuttgart] and explore these options in order.\n   |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Porto to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Dubrovnik (Day 7 - 8).\n   |- The departure day of Munich is Day 7. The arrival day of Dubrovnik is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Munich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Dubrovnik.\n     |- Try arranging to visit Dubrovnik from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Amsterdam (Day 12 - 14).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Amsterdam is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Porto, Munich, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Edinburgh, Salzburg, Istanbul, Berlin, Stuttgart] and explore these options in order.\n       |- Try arranging to visit Edinburgh from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Edinburgh.\n       |- No. Drop this branch.\n       |- Try arranging to visit Salzburg from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Salzburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Istanbul from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Amsterdam (Day 12 - 14).\n       |- The departure day of Istanbul is Day 12. The arrival day of Amsterdam is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Porto, Munich, Dubrovnik, Istanbul].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Istanbul to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Riga (Day 21 - 25).\n         |- The departure day of Amsterdam is Day 14. The arrival day of Riga is Day 21. Day 14 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Edinburgh, Salzburg, Berlin, Stuttgart] and explore these options in order.\n           |- Try arranging to visit Edinburgh from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Amsterdam to Edinburgh.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 21 - 25).\n           |- The departure day of Edinburgh is Day 18. The arrival day of Riga is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Edinburgh].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Salzburg from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Edinburgh to Salzburg.\n             |- No. Drop this branch.\n             |- Try arranging to visit Berlin from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Edinburgh to Berlin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Riga (Day 21 - 25).\n             |- The departure day of Berlin is Day 21. The arrival day of Riga is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Edinburgh, Berlin].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Berlin to Riga.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Edinburgh to Stuttgart.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Salzburg from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Salzburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 21 - 25).\n           |- The departure day of Berlin is Day 17. The arrival day of Riga is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Salzburg, Stuttgart] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Berlin to Edinburgh.\n             |- No. Drop this branch.\n             |- Try arranging to visit Salzburg from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Berlin to Salzburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 21 - 25).\n             |- The departure day of Salzburg is Day 20. The arrival day of Riga is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Berlin, Salzburg].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Edinburgh, Stuttgart] and explore these options in order.\n               |- Try arranging to visit Edinburgh from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Salzburg to Edinburgh.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stuttgart from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Salzburg to Stuttgart.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stuttgart from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Berlin to Stuttgart.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Stuttgart from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to Stuttgart.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Riga (Day 21 - 25).\n           |- The departure day of Stuttgart is Day 17. The arrival day of Riga is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Stuttgart].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Edinburgh, Salzburg, Berlin] and explore these options in order.\n             |- Try arranging to visit Edinburgh from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Stuttgart to Edinburgh.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 21 - 25).\n             |- The departure day of Edinburgh is Day 21. The arrival day of Riga is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Stuttgart, Edinburgh].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Riga.\n               |- Try arranging to visit Riga from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Edinburgh to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Stuttgart, Edinburgh, Riga].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Salzburg, Berlin] and explore these options in order.\n                 |- Try arranging to visit Salzburg from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Riga to Salzburg.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Berlin from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                 |- Check for direct flight from Riga to Berlin.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Stuttgart, Edinburgh, Riga, Berlin].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Salzburg] and explore these options in order.\n                   |- Try arranging to visit Salzburg from Day 28. Duration: 4 days. Schedule: Day 28 - 31.\n                   |- Check for direct flight from Berlin to Salzburg.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 31. Current plan: [Porto, Munich, Dubrovnik, Istanbul, Amsterdam, Stuttgart, Edinburgh, Riga, Berlin, Salzburg].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Porto and visit Porto for 5 days.\n**Day 5:** Fly from Porto to Munich.\n**Day 5-7:** Visit Munich for 3 days.\n**Day 7:** Fly from Munich to Dubrovnik.\n**Day 7-8:** Visit Dubrovnik for 2 days.\n**Day 8:** Fly from Dubrovnik to Istanbul.\n**Day 8-12:** Visit Istanbul for 5 days.\n**Day 12:** Fly from Istanbul to Amsterdam.\n**Day 12-14:** Visit Amsterdam for 3 days.\n**Day 14:** Fly from Amsterdam to Stuttgart.\n**Day 14-17:** Visit Stuttgart for 4 days.\n**Day 17:** Fly from Stuttgart to Edinburgh.\n**Day 17-21:** Visit Edinburgh for 5 days.\n**Day 21:** Fly from Edinburgh to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Berlin.\n**Day 25-28:** Visit Berlin for 4 days.\n**Day 28:** Fly from Berlin to Salzburg.\n**Day 28-31:** Visit Salzburg for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Lyon**Frankfurt**Dubrovnik**Geneva**Berlin**Dublin**Edinburgh**Paris**Warsaw",
    "ground_truth_durations": "3**4**4**3**4**4**4**5**5**5",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 28,
        "end_day": 32
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 20,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 17,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Lyon"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Split",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Dublin"
      ],
      [
        "Dublin",
        "Edinburgh"
      ],
      [
        "Split",
        "Dublin"
      ],
      [
        "Edinburgh",
        "Paris"
      ],
      [
        "Frankfurt",
        "Paris"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Berlin",
        "Edinburgh"
      ],
      [
        "Frankfurt",
        "Dublin"
      ],
      [
        "Frankfurt",
        "Geneva"
      ],
      [
        "Dublin",
        "Paris"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Berlin",
        "Dublin"
      ],
      [
        "Geneva",
        "Paris"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Berlin",
        "Paris"
      ],
      [
        "Lyon",
        "Dublin"
      ],
      [
        "Geneva",
        "Warsaw"
      ],
      [
        "Geneva",
        "Edinburgh"
      ],
      [
        "Dubrovnik",
        "Geneva"
      ],
      [
        "Lyon",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Berlin"
      ],
      [
        "Paris",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Edinburgh"
      ],
      [
        "Split",
        "Berlin"
      ],
      [
        "Split",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Dubrovnik",
        "Dublin"
      ],
      [
        "Split",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 3 days. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 28 and day 32. You want to spend 5 days in Edinburgh. You have to attend a workshop in Edinburgh between day 20 and day 24. You would like to visit Frankfurt for 4 days. You plan to stay in Geneva for 4 days. You would like to visit Lyon for 4 days. You plan to stay in Dublin for 4 days. During day 17 and day 20, you have to attend a conference in Dublin. You want to spend 3 days in Split. You would like to meet your friends at Split between day 1 and day 3 to tour together. You would like to visit Berlin for 4 days. You are going to attend a wedding in Berlin between day 14 and day 17. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nSplit and Lyon, Berlin and Warsaw, Split and Frankfurt, Geneva and Dublin, Dublin and Edinburgh, Split and Dublin, Edinburgh and Paris, Frankfurt and Paris, Frankfurt and Warsaw, Berlin and Edinburgh, Frankfurt and Dublin, Frankfurt and Geneva, Dublin and Paris, Lyon and Paris, Frankfurt and Dubrovnik, Berlin and Dublin, Geneva and Paris, Split and Paris, Berlin and Paris, Lyon and Dublin, Geneva and Warsaw, Geneva and Edinburgh, Dubrovnik and Geneva, Lyon and Frankfurt, Geneva and Berlin, Paris and Warsaw, Frankfurt and Edinburgh, Split and Berlin, Split and Warsaw, Frankfurt and Berlin, Dubrovnik and Dublin, Split and Geneva.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You plan to stay in Dubrovnik for 3 days. You would like to visit Warsaw for 5 days. You want to meet a friend in Warsaw between day 28 and day 32. You want to spend 5 days in Edinburgh. You have to attend a workshop in Edinburgh between day 20 and day 24. You would like to visit Frankfurt for 4 days. You plan to stay in Geneva for 4 days. You would like to visit Lyon for 4 days. You plan to stay in Dublin for 4 days. During day 17 and day 20, you have to attend a conference in Dublin. You want to spend 3 days in Split. You would like to meet your friends at Split between day 1 and day 3 to tour together. You would like to visit Berlin for 4 days. You are going to attend a wedding in Berlin between day 14 and day 17. You would like to visit Paris for 5 days.\n\nHere are the cities that have direct flights:\nfrom Split to Lyon, from Berlin to Warsaw, from Split to Frankfurt, from Geneva to Dublin, from Dublin to Edinburgh, from Split to Dublin, from Edinburgh to Paris, from Frankfurt to Paris, from Frankfurt to Warsaw, from Berlin to Edinburgh, from Frankfurt to Dublin, from Frankfurt to Geneva, from Dublin to Paris, from Lyon to Paris, from Frankfurt to Dubrovnik, from Berlin to Dublin, from Geneva to Paris, from Split to Paris, from Berlin to Paris, from Lyon to Dublin, from Geneva to Warsaw, from Geneva to Edinburgh, from Dubrovnik to Geneva, from Lyon to Frankfurt, from Geneva to Berlin, from Paris to Warsaw, from Frankfurt to Edinburgh, from Split to Berlin, from Split to Warsaw, from Frankfurt to Berlin, from Dubrovnik to Dublin, from Split to Geneva.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.\n**Day 11:** Fly from Dubrovnik to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Dublin.\n**Day 17-20:** Visit Dublin for 4 days.\n**Day 20:** Fly from Dublin to Edinburgh.\n**Day 20-24:** Visit Edinburgh for 5 days.\n**Day 24:** Fly from Edinburgh to Paris.\n**Day 24-28:** Visit Paris for 5 days.\n**Day 28:** Fly from Paris to Warsaw.\n**Day 28-32:** Visit Warsaw for 5 days.",
    "id": "trip_planning_example_1578",
    "estimated_output_tokens": 5257,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 3 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 28 - 32.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 20 - 24.\n* City: Frankfurt, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Dublin, Duration: 4 days, Fixed Schedule: Day 17 - 20.\n* City: Split, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Berlin, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Paris, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 3.\n* City: Berlin, Fixed Schedule: Day 14 - 17.\n* City: Dublin, Fixed Schedule: Day 17 - 20.\n* City: Edinburgh, Fixed Schedule: Day 20 - 24.\n* City: Warsaw, Fixed Schedule: Day 28 - 32.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 3 days.\n* City: Frankfurt, Duration: 4 days.\n* City: Geneva, Duration: 4 days.\n* City: Lyon, Duration: 4 days.\n* City: Paris, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Berlin (Day 14 - 17).\n |- The departure day of Split is Day 3. The arrival day of Berlin is Day 14. Day 3 is not later than (<=) Day 14. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Geneva, Lyon, Paris] and explore these options in order.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Split to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 14 - 17).\n   |- The departure day of Frankfurt is Day 6. The arrival day of Berlin is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Frankfurt].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Lyon, Paris] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Frankfurt to Dubrovnik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 14 - 17).\n     |- The departure day of Dubrovnik is Day 8. The arrival day of Berlin is Day 14. Day 8 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Frankfurt, Dubrovnik].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Geneva, Lyon, Paris] and explore these options in order.\n       |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Berlin (Day 14 - 17).\n       |- The departure day of Geneva is Day 11. The arrival day of Berlin is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Frankfurt, Dubrovnik, Geneva].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Paris] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Geneva to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n         |- Check for direct flight from Geneva to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 14 - 17).\n         |- The departure day of Paris is Day 15. The arrival day of Berlin is Day 14. Day 15 is later than (>) Day 14. This arrangement is incompatible. Drop this branch.\n         |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Dubrovnik to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Dubrovnik to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Geneva from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Geneva.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 14 - 17).\n     |- The departure day of Geneva is Day 9. The arrival day of Berlin is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Frankfurt, Geneva].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon, Paris] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Geneva to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Geneva to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Geneva to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 14 - 17).\n       |- The departure day of Paris is Day 13. The arrival day of Berlin is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 13. Current plan: [Split, Frankfurt, Geneva, Paris].\n        |- Check whether the city with an arrival day of Day 13 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Lyon] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n         |- Check for direct flight from Paris to Dubrovnik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Lyon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n         |- Check for direct flight from Paris to Lyon.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Frankfurt to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 14 - 17).\n     |- The departure day of Paris is Day 10. The arrival day of Berlin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Frankfurt, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Lyon] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Paris to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Geneva from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Geneva.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Geneva from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 14 - 17).\n   |- The departure day of Geneva is Day 6. The arrival day of Berlin is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Geneva].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Lyon, Paris] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Geneva to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Geneva to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Geneva to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 14 - 17).\n     |- The departure day of Paris is Day 10. The arrival day of Berlin is Day 14. Day 10 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Split, Geneva, Paris].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Lyon] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Paris to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Frankfurt from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Frankfurt.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n       |- Check for direct flight from Paris to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Split to Lyon.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Berlin (Day 14 - 17).\n   |- The departure day of Lyon is Day 6. The arrival day of Berlin is Day 14. Day 6 is not later than (<=) Day 14. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Split, Lyon].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Frankfurt, Geneva, Paris] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Lyon to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Lyon to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Berlin (Day 14 - 17).\n     |- The departure day of Frankfurt is Day 9. The arrival day of Berlin is Day 14. Day 9 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Lyon, Frankfurt].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Geneva, Paris] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Frankfurt to Dubrovnik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Berlin (Day 14 - 17).\n       |- The departure day of Dubrovnik is Day 11. The arrival day of Berlin is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Lyon, Frankfurt, Dubrovnik].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Geneva, Paris] and explore these options in order.\n         |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n         |- Check for direct flight from Dubrovnik to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Berlin (Day 14 - 17).\n         |- The departure day of Geneva is Day 14. The arrival day of Berlin is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: Berlin.\n           |- Try arranging to visit Berlin from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Geneva to Berlin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Dublin (Day 17 - 20).\n           |- The departure day of Berlin is Day 17. The arrival day of Dublin is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva, Berlin].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Dublin.\n             |- Try arranging to visit Dublin from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Berlin to Dublin.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Edinburgh (Day 20 - 24).\n             |- The departure day of Dublin is Day 20. The arrival day of Edinburgh is Day 20. Day 20 is not later than (<=) Day 20. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva, Berlin, Dublin].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- Yes. The city with an arrival day of Day 20 - is fixed: Edinburgh.\n               |- Try arranging to visit Edinburgh from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Dublin to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Warsaw (Day 28 - 32).\n               |- The departure day of Edinburgh is Day 24. The arrival day of Warsaw is Day 28. Day 24 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva, Berlin, Dublin, Edinburgh].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Paris] and explore these options in order.\n                 |- Try arranging to visit Paris from Day 24. Duration: 5 days. Schedule: Day 24 - 28.\n                 |- Check for direct flight from Edinburgh to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Warsaw (Day 28 - 32).\n                 |- The departure day of Paris is Day 28. The arrival day of Warsaw is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 28. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva, Berlin, Dublin, Edinburgh, Paris].\n                  |- Check whether the city with an arrival day of Day 28 - is fixed.\n                  |- Yes. The city with an arrival day of Day 28 - is fixed: Warsaw.\n                   |- Try arranging to visit Warsaw from Day 28. Duration: 5 days. Schedule: Day 28 - 32.\n                   |- Check for direct flight from Paris to Warsaw.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Split, Lyon, Frankfurt, Dubrovnik, Geneva, Berlin, Dublin, Edinburgh, Paris, Warsaw].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Split and visit Split for 3 days.\n**Day 3:** Fly from Split to Lyon.\n**Day 3-6:** Visit Lyon for 4 days.\n**Day 6:** Fly from Lyon to Frankfurt.\n**Day 6-9:** Visit Frankfurt for 4 days.\n**Day 9:** Fly from Frankfurt to Dubrovnik.\n**Day 9-11:** Visit Dubrovnik for 3 days.\n**Day 11:** Fly from Dubrovnik to Geneva.\n**Day 11-14:** Visit Geneva for 4 days.\n**Day 14:** Fly from Geneva to Berlin.\n**Day 14-17:** Visit Berlin for 4 days.\n**Day 17:** Fly from Berlin to Dublin.\n**Day 17-20:** Visit Dublin for 4 days.\n**Day 20:** Fly from Dublin to Edinburgh.\n**Day 20-24:** Visit Edinburgh for 5 days.\n**Day 24:** Fly from Edinburgh to Paris.\n**Day 24-28:** Visit Paris for 5 days.\n**Day 28:** Fly from Paris to Warsaw.\n**Day 28-32:** Visit Warsaw for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Florence**Munich**Venice**Oslo**Krakow**Vilnius**Copenhagen**Santorini**Bucharest**Budapest",
    "ground_truth_durations": "5**5**5**5**5**2**4**4**2**4",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 28,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 29,
        "end_day": 32
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 21,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Oslo",
        "Bucharest"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Munich",
        "Budapest"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Venice",
        "Santorini"
      ],
      [
        "Oslo",
        "Budapest"
      ],
      [
        "Venice",
        "Oslo"
      ],
      [
        "Oslo",
        "Krakow"
      ],
      [
        "Oslo",
        "Vilnius"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Munich",
        "Oslo"
      ],
      [
        "Vilnius",
        "Copenhagen"
      ],
      [
        "Oslo",
        "Copenhagen"
      ],
      [
        "Bucharest",
        "Budapest"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Krakow",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Copenhagen",
        "Budapest"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Venice"
      ],
      [
        "Krakow",
        "Vilnius"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You would like to visit Krakow for 5 days. You plan to stay in Florence for 5 days. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9. You want to spend 4 days in Santorini. You would like to visit Bucharest for 2 days. You want to meet a friend in Bucharest between day 28 and day 29. You would like to visit Copenhagen for 4 days. You would like to visit Budapest for 4 days. During day 29 and day 32, you have to attend a conference in Budapest. You plan to stay in Vilnius for 2 days. You would like to meet your friends at Vilnius between day 21 and day 22 to tour together. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nOslo and Bucharest, Munich and Bucharest, Munich and Budapest, Munich and Copenhagen, Venice and Santorini, Oslo and Budapest, Venice and Oslo, Oslo and Krakow, Oslo and Vilnius, Venice and Copenhagen, from Florence to Munich, from Vilnius to Munich, from Santorini to Oslo, Santorini and Bucharest, Munich and Oslo, Vilnius and Copenhagen, Oslo and Copenhagen, Bucharest and Budapest, Copenhagen and Bucharest, Krakow and Copenhagen, Copenhagen and Santorini, Copenhagen and Budapest, Munich and Krakow, Munich and Venice, from Krakow to Vilnius.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You would like to visit Venice for 5 days. You would like to visit Krakow for 5 days. You plan to stay in Florence for 5 days. You plan to stay in Munich for 5 days. You plan to visit relatives in Munich between day 5 and day 9. You want to spend 4 days in Santorini. You would like to visit Bucharest for 2 days. You want to meet a friend in Bucharest between day 28 and day 29. You would like to visit Copenhagen for 4 days. You would like to visit Budapest for 4 days. During day 29 and day 32, you have to attend a conference in Budapest. You plan to stay in Vilnius for 2 days. You would like to meet your friends at Vilnius between day 21 and day 22 to tour together. You plan to stay in Oslo for 5 days.\n\nHere are the cities that have direct flights:\nfrom Oslo to Bucharest, from Munich to Bucharest, from Munich to Budapest, from Munich to Copenhagen, from Venice to Santorini, from Oslo to Budapest, from Venice to Oslo, from Oslo to Krakow, from Oslo to Vilnius, from Venice to Copenhagen, from Florence to Munich, from Vilnius to Munich, from Santorini to Oslo, from Santorini to Bucharest, from Munich to Oslo, from Vilnius to Copenhagen, from Oslo to Copenhagen, from Bucharest to Budapest, from Copenhagen to Bucharest, from Krakow to Copenhagen, from Copenhagen to Santorini, from Copenhagen to Budapest, from Munich to Krakow, from Munich to Venice, from Krakow to Vilnius.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-21:** Visit Krakow for 5 days.\n**Day 21:** Fly from Krakow to Vilnius.\n**Day 21-22:** Visit Vilnius for 2 days.\n**Day 22:** Fly from Vilnius to Copenhagen.\n**Day 22-25:** Visit Copenhagen for 4 days.\n**Day 25:** Fly from Copenhagen to Santorini.\n**Day 25-28:** Visit Santorini for 4 days.\n**Day 28:** Fly from Santorini to Bucharest.\n**Day 28-29:** Visit Bucharest for 2 days.\n**Day 29:** Fly from Bucharest to Budapest.\n**Day 29-32:** Visit Budapest for 4 days.",
    "id": "trip_planning_example_1579",
    "estimated_output_tokens": 4709,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Venice, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Munich, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Santorini, Duration: 4 days.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 28 - 29.\n* City: Copenhagen, Duration: 4 days.\n* City: Budapest, Duration: 4 days, Fixed Schedule: Day 29 - 32.\n* City: Vilnius, Duration: 2 days, Fixed Schedule: Day 21 - 22.\n* City: Oslo, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Munich, Fixed Schedule: Day 5 - 9.\n* City: Vilnius, Fixed Schedule: Day 21 - 22.\n* City: Bucharest, Fixed Schedule: Day 28 - 29.\n* City: Budapest, Fixed Schedule: Day 29 - 32.\n\nCities needing arrangement:\n* City: Venice, Duration: 5 days.\n* City: Krakow, Duration: 5 days.\n* City: Florence, Duration: 5 days.\n* City: Santorini, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days.\n* City: Oslo, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Krakow, Florence, Santorini, Copenhagen, Oslo] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Venice is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Venice to Munich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Krakow from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Krakow.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Krakow is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Krakow].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Krakow to Munich.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Munich (Day 5 - 9).\n |- The departure day of Florence is Day 5. The arrival day of Munich is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Munich.\n   |- Try arranging to visit Munich from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Florence to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vilnius (Day 21 - 22).\n   |- The departure day of Munich is Day 9. The arrival day of Vilnius is Day 21. Day 9 is not later than (<=) Day 21. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Florence, Munich].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Krakow, Santorini, Copenhagen, Oslo] and explore these options in order.\n     |- Try arranging to visit Venice from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Munich to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 21 - 22).\n     |- The departure day of Venice is Day 13. The arrival day of Vilnius is Day 21. Day 13 is not later than (<=) Day 21. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Florence, Munich, Venice].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Krakow, Santorini, Copenhagen, Oslo] and explore these options in order.\n       |- Try arranging to visit Krakow from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Venice to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Venice to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 21 - 22).\n       |- The departure day of Santorini is Day 16. The arrival day of Vilnius is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Florence, Munich, Venice, Santorini].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Copenhagen, Oslo] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Santorini to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Copenhagen from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Santorini to Copenhagen.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Santorini to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 21 - 22).\n         |- The departure day of Oslo is Day 20. The arrival day of Vilnius is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 20. Current plan: [Florence, Munich, Venice, Santorini, Oslo].\n          |- Check whether the city with an arrival day of Day 20 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Copenhagen] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n           |- Check for direct flight from Oslo to Krakow.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 21 - 22).\n           |- The departure day of Krakow is Day 24. The arrival day of Vilnius is Day 21. Day 24 is later than (>) Day 21. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n           |- Check for direct flight from Oslo to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Vilnius (Day 21 - 22).\n           |- The departure day of Copenhagen is Day 23. The arrival day of Vilnius is Day 21. Day 23 is later than (>) Day 21. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Venice to Copenhagen.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 21 - 22).\n       |- The departure day of Copenhagen is Day 16. The arrival day of Vilnius is Day 21. Day 16 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 16. Current plan: [Florence, Munich, Venice, Copenhagen].\n        |- Check whether the city with an arrival day of Day 16 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Santorini, Oslo] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Copenhagen to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n         |- Check for direct flight from Copenhagen to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Vilnius (Day 21 - 22).\n         |- The departure day of Santorini is Day 19. The arrival day of Vilnius is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 19. Current plan: [Florence, Munich, Venice, Copenhagen, Santorini].\n          |- Check whether the city with an arrival day of Day 19 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Krakow, Oslo] and explore these options in order.\n           |- Try arranging to visit Krakow from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Santorini to Krakow.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n           |- Check for direct flight from Santorini to Oslo.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Vilnius (Day 21 - 22).\n           |- The departure day of Oslo is Day 23. The arrival day of Vilnius is Day 21. Day 23 is later than (>) Day 21. This arrangement is incompatible. Drop this branch.\n           |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Oslo from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n         |- Check for direct flight from Copenhagen to Oslo.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Oslo from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Venice to Oslo.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 21 - 22).\n       |- The departure day of Oslo is Day 17. The arrival day of Vilnius is Day 21. Day 17 is not later than (<=) Day 21. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Florence, Munich, Venice, Oslo].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Santorini, Copenhagen] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n         |- Check for direct flight from Oslo to Krakow.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Vilnius (Day 21 - 22).\n         |- The departure day of Krakow is Day 21. The arrival day of Vilnius is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 21. Current plan: [Florence, Munich, Venice, Oslo, Krakow].\n          |- Check whether the city with an arrival day of Day 21 - is fixed.\n          |- Yes. The city with an arrival day of Day 21 - is fixed: Vilnius.\n           |- Try arranging to visit Vilnius from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n           |- Check for direct flight from Krakow to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Bucharest (Day 28 - 29).\n           |- The departure day of Vilnius is Day 22. The arrival day of Bucharest is Day 28. Day 22 is not later than (<=) Day 28. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 22. Current plan: [Florence, Munich, Venice, Oslo, Krakow, Vilnius].\n            |- Check whether the city with an arrival day of Day 22 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Copenhagen] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Vilnius to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Copenhagen from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n             |- Check for direct flight from Vilnius to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Bucharest (Day 28 - 29).\n             |- The departure day of Copenhagen is Day 25. The arrival day of Bucharest is Day 28. Day 25 is not later than (<=) Day 28. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 25. Current plan: [Florence, Munich, Venice, Oslo, Krakow, Vilnius, Copenhagen].\n              |- Check whether the city with an arrival day of Day 25 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n               |- Try arranging to visit Santorini from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n               |- Check for direct flight from Copenhagen to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: Bucharest (Day 28 - 29).\n               |- The departure day of Santorini is Day 28. The arrival day of Bucharest is Day 28. Day 28 is not later than (<=) Day 28. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 28. Current plan: [Florence, Munich, Venice, Oslo, Krakow, Vilnius, Copenhagen, Santorini].\n                |- Check whether the city with an arrival day of Day 28 - is fixed.\n                |- Yes. The city with an arrival day of Day 28 - is fixed: Bucharest.\n                 |- Try arranging to visit Bucharest from Day 28. Duration: 2 days. Schedule: Day 28 - 29.\n                 |- Check for direct flight from Santorini to Bucharest.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 28: Budapest (Day 29 - 32).\n                 |- The departure day of Bucharest is Day 29. The arrival day of Budapest is Day 29. Day 29 is not later than (<=) Day 29. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Florence, Munich, Venice, Oslo, Krakow, Vilnius, Copenhagen, Santorini, Bucharest].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- Yes. The city with an arrival day of Day 29 - is fixed: Budapest.\n                   |- Try arranging to visit Budapest from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                   |- Check for direct flight from Bucharest to Budapest.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Florence, Munich, Venice, Oslo, Krakow, Vilnius, Copenhagen, Santorini, Bucharest, Budapest].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Florence and visit Florence for 5 days.\n**Day 5:** Fly from Florence to Munich.\n**Day 5-9:** Visit Munich for 5 days.\n**Day 9:** Fly from Munich to Venice.\n**Day 9-13:** Visit Venice for 5 days.\n**Day 13:** Fly from Venice to Oslo.\n**Day 13-17:** Visit Oslo for 5 days.\n**Day 17:** Fly from Oslo to Krakow.\n**Day 17-21:** Visit Krakow for 5 days.\n**Day 21:** Fly from Krakow to Vilnius.\n**Day 21-22:** Visit Vilnius for 2 days.\n**Day 22:** Fly from Vilnius to Copenhagen.\n**Day 22-25:** Visit Copenhagen for 4 days.\n**Day 25:** Fly from Copenhagen to Santorini.\n**Day 25-28:** Visit Santorini for 4 days.\n**Day 28:** Fly from Santorini to Bucharest.\n**Day 28-29:** Visit Bucharest for 2 days.\n**Day 29:** Fly from Bucharest to Budapest.\n**Day 29-32:** Visit Budapest for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Split**Vienna**Lyon**Istanbul**Tallinn**Paris**Stuttgart**Hamburg**Nice**Mykonos",
    "ground_truth_durations": "5**3**3**3**3**4**2**5**5**2",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 5,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Split",
        "Lyon"
      ],
      [
        "Paris",
        "Stuttgart"
      ],
      [
        "Split",
        "Stuttgart"
      ],
      [
        "Istanbul",
        "Stuttgart"
      ],
      [
        "Vienna",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Hamburg"
      ],
      [
        "Vienna",
        "Paris"
      ],
      [
        "Vienna",
        "Nice"
      ],
      [
        "Vienna",
        "Lyon"
      ],
      [
        "Lyon",
        "Nice"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Vienna",
        "Istanbul"
      ],
      [
        "Lyon",
        "Istanbul"
      ],
      [
        "Tallinn",
        "Paris"
      ],
      [
        "Split",
        "Paris"
      ],
      [
        "Istanbul",
        "Paris"
      ],
      [
        "Split",
        "Vienna"
      ],
      [
        "Istanbul",
        "Nice"
      ],
      [
        "Vienna",
        "Mykonos"
      ],
      [
        "Paris",
        "Nice"
      ],
      [
        "Istanbul",
        "Hamburg"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Hamburg",
        "Nice"
      ],
      [
        "Nice",
        "Mykonos"
      ],
      [
        "Vienna",
        "Hamburg"
      ],
      [
        "Split",
        "Hamburg"
      ],
      [
        "Paris",
        "Hamburg"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You want to spend 3 days in Tallinn. From day 11 to day 13, there is a annual show you want to attend in Tallinn. You would like to visit Split for 5 days. You are going to attend a wedding in Split between day 1 and day 5. You would like to visit Stuttgart for 2 days. You have to attend a workshop in Stuttgart between day 16 and day 17. You want to spend 3 days in Istanbul. You want to meet a friend in Istanbul between day 9 and day 11. You would like to visit Hamburg for 5 days. You plan to stay in Lyon for 3 days. You would like to visit Vienna for 3 days. You plan to visit relatives in Vienna between day 5 and day 7. You plan to stay in Nice for 5 days. You plan to stay in Paris for 4 days.\n\nHere are the cities that have direct flights:\nSplit and Lyon, Paris and Stuttgart, Split and Stuttgart, Istanbul and Stuttgart, Vienna and Stuttgart, Stuttgart and Hamburg, Vienna and Paris, Vienna and Nice, Vienna and Lyon, Lyon and Nice, from Istanbul to Tallinn, Vienna and Istanbul, Lyon and Istanbul, Tallinn and Paris, Split and Paris, Istanbul and Paris, Split and Vienna, Istanbul and Nice, Vienna and Mykonos, Paris and Nice, Istanbul and Hamburg, Lyon and Paris, Hamburg and Nice, Nice and Mykonos, Vienna and Hamburg, Split and Hamburg, Paris and Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 2 days in Mykonos. You want to spend 3 days in Tallinn. From day 11 to day 13, there is a annual show you want to attend in Tallinn. You would like to visit Split for 5 days. You are going to attend a wedding in Split between day 1 and day 5. You would like to visit Stuttgart for 2 days. You have to attend a workshop in Stuttgart between day 16 and day 17. You want to spend 3 days in Istanbul. You want to meet a friend in Istanbul between day 9 and day 11. You would like to visit Hamburg for 5 days. You plan to stay in Lyon for 3 days. You would like to visit Vienna for 3 days. You plan to visit relatives in Vienna between day 5 and day 7. You plan to stay in Nice for 5 days. You plan to stay in Paris for 4 days.\n\nHere are the cities that have direct flights:\nfrom Split to Lyon, from Paris to Stuttgart, from Split to Stuttgart, from Istanbul to Stuttgart, from Vienna to Stuttgart, from Stuttgart to Hamburg, from Vienna to Paris, from Vienna to Nice, from Vienna to Lyon, from Lyon to Nice, from Istanbul to Tallinn, from Vienna to Istanbul, from Lyon to Istanbul, from Tallinn to Paris, from Split to Paris, from Istanbul to Paris, from Split to Vienna, from Istanbul to Nice, from Vienna to Mykonos, from Paris to Nice, from Istanbul to Hamburg, from Lyon to Paris, from Hamburg to Nice, from Nice to Mykonos, from Vienna to Hamburg, from Split to Hamburg, from Paris to Hamburg.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Stuttgart.\n**Day 16-17:** Visit Stuttgart for 2 days.\n**Day 17:** Fly from Stuttgart to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Nice.\n**Day 21-25:** Visit Nice for 5 days.\n**Day 25:** Fly from Nice to Mykonos.\n**Day 25-26:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1580",
    "estimated_output_tokens": 3198,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Mykonos, Duration: 2 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Split, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Hamburg, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Vienna, Duration: 3 days, Fixed Schedule: Day 5 - 7.\n* City: Nice, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Split, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Fixed Schedule: Day 5 - 7.\n* City: Istanbul, Fixed Schedule: Day 9 - 11.\n* City: Tallinn, Fixed Schedule: Day 11 - 13.\n* City: Stuttgart, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Mykonos, Duration: 2 days.\n* City: Hamburg, Duration: 5 days.\n* City: Lyon, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Paris, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Split.\n |- Try arranging to visit Split from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Split.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Vienna (Day 5 - 7).\n |- The departure day of Split is Day 5. The arrival day of Vienna is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Split].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Vienna.\n   |- Try arranging to visit Vienna from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Split to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Istanbul (Day 9 - 11).\n   |- The departure day of Vienna is Day 7. The arrival day of Istanbul is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Split, Vienna].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Mykonos, Hamburg, Lyon, Nice, Paris] and explore these options in order.\n     |- Try arranging to visit Mykonos from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Vienna to Mykonos.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 11).\n     |- The departure day of Mykonos is Day 8. The arrival day of Istanbul is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Split, Vienna, Mykonos].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Lyon, Nice, Paris] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Mykonos to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Mykonos to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Mykonos to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Mykonos to Paris.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Hamburg from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Vienna to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 11).\n     |- The departure day of Hamburg is Day 11. The arrival day of Istanbul is Day 9. Day 11 is later than (>) Day 9. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lyon from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Vienna to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Istanbul (Day 9 - 11).\n     |- The departure day of Lyon is Day 9. The arrival day of Istanbul is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Split, Vienna, Lyon].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Istanbul.\n       |- Try arranging to visit Istanbul from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Lyon to Istanbul.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Tallinn (Day 11 - 13).\n       |- The departure day of Istanbul is Day 11. The arrival day of Tallinn is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Split, Vienna, Lyon, Istanbul].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Tallinn.\n         |- Try arranging to visit Tallinn from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Istanbul to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Stuttgart (Day 16 - 17).\n         |- The departure day of Tallinn is Day 13. The arrival day of Stuttgart is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Mykonos, Hamburg, Nice, Paris] and explore these options in order.\n           |- Try arranging to visit Mykonos from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Tallinn to Mykonos.\n           |- No. Drop this branch.\n           |- Try arranging to visit Hamburg from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Hamburg.\n           |- No. Drop this branch.\n           |- Try arranging to visit Nice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Tallinn to Nice.\n           |- No. Drop this branch.\n           |- Try arranging to visit Paris from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Tallinn to Paris.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stuttgart (Day 16 - 17).\n           |- The departure day of Paris is Day 16. The arrival day of Stuttgart is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn, Paris].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Stuttgart.\n             |- Try arranging to visit Stuttgart from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Paris to Stuttgart.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn, Paris, Stuttgart].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Mykonos, Hamburg, Nice] and explore these options in order.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n               |- Check for direct flight from Stuttgart to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Hamburg from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Stuttgart to Hamburg.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn, Paris, Stuttgart, Hamburg].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Nice] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 21. Duration: 2 days. Schedule: Day 21 - 22.\n                 |- Check for direct flight from Hamburg to Mykonos.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Nice from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Hamburg to Nice.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn, Paris, Stuttgart, Hamburg, Nice].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                   |- Check for direct flight from Nice to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Split, Vienna, Lyon, Istanbul, Tallinn, Paris, Stuttgart, Hamburg, Nice, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Split and visit Split for 5 days.\n**Day 5:** Fly from Split to Vienna.\n**Day 5-7:** Visit Vienna for 3 days.\n**Day 7:** Fly from Vienna to Lyon.\n**Day 7-9:** Visit Lyon for 3 days.\n**Day 9:** Fly from Lyon to Istanbul.\n**Day 9-11:** Visit Istanbul for 3 days.\n**Day 11:** Fly from Istanbul to Tallinn.\n**Day 11-13:** Visit Tallinn for 3 days.\n**Day 13:** Fly from Tallinn to Paris.\n**Day 13-16:** Visit Paris for 4 days.\n**Day 16:** Fly from Paris to Stuttgart.\n**Day 16-17:** Visit Stuttgart for 2 days.\n**Day 17:** Fly from Stuttgart to Hamburg.\n**Day 17-21:** Visit Hamburg for 5 days.\n**Day 21:** Fly from Hamburg to Nice.\n**Day 21-25:** Visit Nice for 5 days.\n**Day 25:** Fly from Nice to Mykonos.\n**Day 25-26:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Dubrovnik**Rome**Santorini**Bucharest**Munich**London**Amsterdam**Vilnius**Paris**Frankfurt",
    "ground_truth_durations": "4**5**4**2**3**4**3**4**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 14,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 8,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Paris",
        "start_day": 22,
        "end_day": 25
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Paris"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Munich"
      ],
      [
        "Dubrovnik",
        "Frankfurt"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Munich",
        "London"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Munich",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Rome"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Dubrovnik",
        "Munich"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Vilnius",
        "Frankfurt"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Munich",
        "Paris"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Dubrovnik",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Paris",
        "Frankfurt"
      ],
      [
        "Vilnius",
        "Paris"
      ],
      [
        "Amsterdam",
        "Paris"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Bucharest",
        "London"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "London",
        "Frankfurt"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Vilnius",
        "Munich"
      ],
      [
        "Munich",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Rome",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You plan to visit relatives in Frankfurt between day 25 and day 28. You want to spend 2 days in Bucharest. You would like to visit Amsterdam for 3 days. You plan to stay in London for 4 days. You want to meet a friend in London between day 14 and day 17. You plan to stay in Dubrovnik for 4 days. You plan to stay in Rome for 5 days. You would like to visit Munich for 3 days. You plan to stay in Vilnius for 4 days. You would like to visit Santorini for 4 days. You would like to meet your friends at Santorini between day 8 and day 11 to tour together. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 22 and day 25.\n\nHere are the cities that have direct flights:\nRome and Paris, Rome and Amsterdam, Bucharest and Munich, Dubrovnik and Frankfurt, London and Amsterdam, Munich and London, Amsterdam and Vilnius, Bucharest and Paris, Munich and Frankfurt, Dubrovnik and Rome, Amsterdam and Frankfurt, Dubrovnik and Munich, London and Paris, Santorini and Amsterdam, Vilnius and Frankfurt, Rome and Frankfurt, Rome and Santorini, Munich and Paris, Santorini and Bucharest, Dubrovnik and Amsterdam, Bucharest and Frankfurt, Paris and Frankfurt, Vilnius and Paris, Amsterdam and Paris, Rome and Bucharest, Bucharest and London, Rome and Munich, London and Frankfurt, Santorini and London, from Vilnius to Munich, Munich and Amsterdam, Bucharest and Amsterdam, Rome and London.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Frankfurt. You plan to visit relatives in Frankfurt between day 25 and day 28. You want to spend 2 days in Bucharest. You would like to visit Amsterdam for 3 days. You plan to stay in London for 4 days. You want to meet a friend in London between day 14 and day 17. You plan to stay in Dubrovnik for 4 days. You plan to stay in Rome for 5 days. You would like to visit Munich for 3 days. You plan to stay in Vilnius for 4 days. You would like to visit Santorini for 4 days. You would like to meet your friends at Santorini between day 8 and day 11 to tour together. You would like to visit Paris for 4 days. You have to attend a workshop in Paris between day 22 and day 25.\n\nHere are the cities that have direct flights:\nfrom Rome to Paris, from Rome to Amsterdam, from Bucharest to Munich, from Dubrovnik to Frankfurt, from London to Amsterdam, from Munich to London, from Amsterdam to Vilnius, from Bucharest to Paris, from Munich to Frankfurt, from Dubrovnik to Rome, from Amsterdam to Frankfurt, from Dubrovnik to Munich, from London to Paris, from Santorini to Amsterdam, from Vilnius to Frankfurt, from Rome to Frankfurt, from Rome to Santorini, from Munich to Paris, from Santorini to Bucharest, from Dubrovnik to Amsterdam, from Bucharest to Frankfurt, from Paris to Frankfurt, from Vilnius to Paris, from Amsterdam to Paris, from Rome to Bucharest, from Bucharest to London, from Rome to Munich, from London to Frankfurt, from Santorini to London, from Vilnius to Munich, from Munich to Amsterdam, from Bucharest to Amsterdam, from Rome to London.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Munich.\n**Day 12-14:** Visit Munich for 3 days.\n**Day 14:** Fly from Munich to London.\n**Day 14-17:** Visit London for 4 days.\n**Day 17:** Fly from London to Amsterdam.\n**Day 17-19:** Visit Amsterdam for 3 days.\n**Day 19:** Fly from Amsterdam to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.\n**Day 22:** Fly from Vilnius to Paris.\n**Day 22-25:** Visit Paris for 4 days.\n**Day 25:** Fly from Paris to Frankfurt.\n**Day 25-28:** Visit Frankfurt for 4 days.",
    "id": "trip_planning_example_1581",
    "estimated_output_tokens": 6462,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Bucharest, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: London, Duration: 4 days, Fixed Schedule: Day 14 - 17.\n* City: Dubrovnik, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 8 - 11.\n* City: Paris, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Santorini, Fixed Schedule: Day 8 - 11.\n* City: London, Fixed Schedule: Day 14 - 17.\n* City: Paris, Fixed Schedule: Day 22 - 25.\n* City: Frankfurt, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Amsterdam, Duration: 3 days.\n* City: Dubrovnik, Duration: 4 days.\n* City: Rome, Duration: 5 days.\n* City: Munich, Duration: 3 days.\n* City: Vilnius, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Dubrovnik, Rome, Munich, Vilnius] and explore these options in order.\n |- Try arranging to visit Bucharest from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Bucharest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Bucharest is Day 2. The arrival day of Santorini is Day 8. Day 2 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Bucharest].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik, Rome, Munich, Vilnius] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Amsterdam].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Munich, Vilnius] and explore these options in order.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Amsterdam to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Amsterdam to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Amsterdam to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n     |- The departure day of Vilnius is Day 7. The arrival day of Santorini is Day 8. Day 7 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Bucharest, Amsterdam, Vilnius].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Munich] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vilnius to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Vilnius to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Munich from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n       |- Check for direct flight from Vilnius to Munich.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Santorini (Day 8 - 11).\n       |- The departure day of Munich is Day 9. The arrival day of Santorini is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Bucharest to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Bucharest to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 8 - 11).\n   |- The departure day of Munich is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Bucharest, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Amsterdam, Dubrovnik, Rome, Vilnius] and explore these options in order.\n     |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Munich to Amsterdam.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n     |- The departure day of Amsterdam is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Bucharest, Munich, Amsterdam].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Rome, Vilnius] and explore these options in order.\n       |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Dubrovnik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Amsterdam to Rome.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Amsterdam to Vilnius.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 8 - 11).\n       |- The departure day of Vilnius is Day 9. The arrival day of Santorini is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Munich to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Vilnius.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Bucharest to Vilnius.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Amsterdam is Day 3. The arrival day of Santorini is Day 8. Day 3 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik, Rome, Munich, Vilnius] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Amsterdam to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Dubrovnik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Amsterdam to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Amsterdam to Munich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Amsterdam to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 8 - 11).\n   |- The departure day of Vilnius is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, Vilnius].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Dubrovnik, Rome, Munich] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Vilnius to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Dubrovnik from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Vilnius to Dubrovnik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Vilnius to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Vilnius to Munich.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 8 - 11).\n     |- The departure day of Munich is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Amsterdam, Vilnius, Munich].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Munich to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 8 - 11).\n |- The departure day of Dubrovnik is Day 4. The arrival day of Santorini is Day 8. Day 4 is not later than (<=) Day 8. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Dubrovnik].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Rome, Munich, Vilnius] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Dubrovnik to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Dubrovnik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Santorini is Day 8. Day 6 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Dubrovnik, Amsterdam].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Rome, Munich, Vilnius] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n     |- Check for direct flight from Amsterdam to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Rome from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Amsterdam to Rome.\n     |- No. Drop this branch.\n     |- Try arranging to visit Munich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Amsterdam to Munich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vilnius from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Amsterdam to Vilnius.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Santorini (Day 8 - 11).\n     |- The departure day of Vilnius is Day 9. The arrival day of Santorini is Day 8. Day 9 is later than (>) Day 8. This arrangement is incompatible. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Rome from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Dubrovnik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 8 - 11).\n   |- The departure day of Rome is Day 8. The arrival day of Santorini is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Dubrovnik, Rome].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n     |- Check for direct flight from Rome to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: London (Day 14 - 17).\n     |- The departure day of Santorini is Day 11. The arrival day of London is Day 14. Day 11 is not later than (<=) Day 14. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Dubrovnik, Rome, Santorini].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Amsterdam, Munich, Vilnius] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Santorini to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: London (Day 14 - 17).\n       |- The departure day of Bucharest is Day 12. The arrival day of London is Day 14. Day 12 is not later than (<=) Day 14. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Dubrovnik, Rome, Santorini, Bucharest].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Amsterdam, Munich, Vilnius] and explore these options in order.\n         |- Try arranging to visit Amsterdam from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Bucharest to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: London (Day 14 - 17).\n         |- The departure day of Amsterdam is Day 14. The arrival day of London is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Amsterdam].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: London.\n           |- Try arranging to visit London from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Amsterdam to London.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Munich from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Bucharest to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: London (Day 14 - 17).\n         |- The departure day of Munich is Day 14. The arrival day of London is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- Yes. The city with an arrival day of Day 14 - is fixed: London.\n           |- Try arranging to visit London from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n           |- Check for direct flight from Munich to London.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Paris (Day 22 - 25).\n           |- The departure day of London is Day 17. The arrival day of Paris is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich, London].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Vilnius] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from London to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Paris (Day 22 - 25).\n             |- The departure day of Amsterdam is Day 19. The arrival day of Paris is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich, London, Amsterdam].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Amsterdam to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Paris (Day 22 - 25).\n               |- The departure day of Vilnius is Day 22. The arrival day of Paris is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich, London, Amsterdam, Vilnius].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Paris.\n                 |- Try arranging to visit Paris from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Vilnius to Paris.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Frankfurt (Day 25 - 28).\n                 |- The departure day of Paris is Day 25. The arrival day of Frankfurt is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich, London, Amsterdam, Vilnius, Paris].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Frankfurt.\n                   |- Try arranging to visit Frankfurt from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Paris to Frankfurt.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Dubrovnik, Rome, Santorini, Bucharest, Munich, London, Amsterdam, Vilnius, Paris, Frankfurt].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Dubrovnik and visit Dubrovnik for 4 days.\n**Day 4:** Fly from Dubrovnik to Rome.\n**Day 4-8:** Visit Rome for 5 days.\n**Day 8:** Fly from Rome to Santorini.\n**Day 8-11:** Visit Santorini for 4 days.\n**Day 11:** Fly from Santorini to Bucharest.\n**Day 11-12:** Visit Bucharest for 2 days.\n**Day 12:** Fly from Bucharest to Munich.\n**Day 12-14:** Visit Munich for 3 days.\n**Day 14:** Fly from Munich to London.\n**Day 14-17:** Visit London for 4 days.\n**Day 17:** Fly from London to Amsterdam.\n**Day 17-19:** Visit Amsterdam for 3 days.\n**Day 19:** Fly from Amsterdam to Vilnius.\n**Day 19-22:** Visit Vilnius for 4 days.\n**Day 22:** Fly from Vilnius to Paris.\n**Day 22-25:** Visit Paris for 4 days.\n**Day 25:** Fly from Paris to Frankfurt.\n**Day 25-28:** Visit Frankfurt for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Copenhagen**Rome**Santorini**Naples**Valencia**Munich**Stockholm**Riga**Zurich**Florence",
    "ground_truth_durations": "3**4**5**3**3**5**3**2**5**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 10,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 6,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 18,
        "end_day": 20
      }
    ],
    "connected_cities": [
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Naples"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Copenhagen",
        "Munich"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Munich",
        "Stockholm"
      ],
      [
        "Copenhagen",
        "Riga"
      ],
      [
        "Valencia",
        "Munich"
      ],
      [
        "Copenhagen",
        "Rome"
      ],
      [
        "Copenhagen",
        "Stockholm"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Riga",
        "Zurich"
      ],
      [
        "Florence",
        "Munich"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Stockholm",
        "Zurich"
      ],
      [
        "Munich",
        "Zurich"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Rome",
        "Valencia"
      ],
      [
        "Naples",
        "Zurich"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Naples",
        "Munich"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Naples",
        "Valencia"
      ],
      [
        "Rome",
        "Munich"
      ],
      [
        "Copenhagen",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You plan to stay in Rome for 4 days. You want to spend 3 days in Valencia. You want to spend 5 days in Zurich. You plan to stay in Riga for 2 days. You would like to visit Naples for 3 days. During day 10 and day 12, you have to attend a conference in Naples. You would like to visit Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 1 and day 3 to tour together. You want to spend 4 days in Florence. You want to spend 5 days in Santorini. You have to attend a workshop in Santorini between day 6 and day 10. You plan to stay in Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 18 and day 20.\n\nHere are the cities that have direct flights:\nRome and Stockholm, Copenhagen and Naples, from Stockholm to Santorini, Copenhagen and Munich, Valencia and Zurich, Copenhagen and Zurich, Munich and Stockholm, Copenhagen and Riga, Valencia and Munich, Copenhagen and Rome, Copenhagen and Stockholm, from Zurich to Florence, Stockholm and Riga, Copenhagen and Valencia, Riga and Zurich, from Florence to Munich, Santorini and Zurich, from Riga to Munich, Stockholm and Zurich, Munich and Zurich, Santorini and Naples, from Rome to Riga, Rome and Valencia, Naples and Zurich, Rome and Zurich, Rome and Naples, Naples and Munich, Rome and Santorini, Naples and Valencia, Rome and Munich, Copenhagen and Santorini.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Munich for 5 days. You plan to stay in Rome for 4 days. You want to spend 3 days in Valencia. You want to spend 5 days in Zurich. You plan to stay in Riga for 2 days. You would like to visit Naples for 3 days. During day 10 and day 12, you have to attend a conference in Naples. You would like to visit Copenhagen for 3 days. You would like to meet your friends at Copenhagen between day 1 and day 3 to tour together. You want to spend 4 days in Florence. You want to spend 5 days in Santorini. You have to attend a workshop in Santorini between day 6 and day 10. You plan to stay in Stockholm for 3 days. You are going to attend a wedding in Stockholm between day 18 and day 20.\n\nHere are the cities that have direct flights:\nfrom Rome to Stockholm, from Copenhagen to Naples, from Stockholm to Santorini, from Copenhagen to Munich, from Valencia to Zurich, from Copenhagen to Zurich, from Munich to Stockholm, from Copenhagen to Riga, from Valencia to Munich, from Copenhagen to Rome, from Copenhagen to Stockholm, from Zurich to Florence, from Stockholm to Riga, from Copenhagen to Valencia, from Riga to Zurich, from Florence to Munich, from Santorini to Zurich, from Riga to Munich, from Stockholm to Zurich, from Munich to Zurich, from Santorini to Naples, from Rome to Riga, from Rome to Valencia, from Naples to Zurich, from Rome to Zurich, from Rome to Naples, from Naples to Munich, from Rome to Santorini, from Naples to Valencia, from Rome to Munich, from Copenhagen to Santorini.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Valencia.\n**Day 12-14:** Visit Valencia for 3 days.\n**Day 14:** Fly from Valencia to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Stockholm.\n**Day 18-20:** Visit Stockholm for 3 days.\n**Day 20:** Fly from Stockholm to Riga.\n**Day 20-21:** Visit Riga for 2 days.\n**Day 21:** Fly from Riga to Zurich.\n**Day 21-25:** Visit Zurich for 5 days.\n**Day 25:** Fly from Zurich to Florence.\n**Day 25-28:** Visit Florence for 4 days.",
    "id": "trip_planning_example_1582",
    "estimated_output_tokens": 3521,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Munich, Duration: 5 days.\n* City: Rome, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Naples, Duration: 3 days, Fixed Schedule: Day 10 - 12.\n* City: Copenhagen, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Florence, Duration: 4 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 6 - 10.\n* City: Stockholm, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Copenhagen, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Fixed Schedule: Day 6 - 10.\n* City: Naples, Fixed Schedule: Day 10 - 12.\n* City: Stockholm, Fixed Schedule: Day 18 - 20.\n\nCities needing arrangement:\n* City: Munich, Duration: 5 days.\n* City: Rome, Duration: 4 days.\n* City: Valencia, Duration: 3 days.\n* City: Zurich, Duration: 5 days.\n* City: Riga, Duration: 2 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Copenhagen.\n |- Try arranging to visit Copenhagen from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Copenhagen.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 6 - 10).\n |- The departure day of Copenhagen is Day 3. The arrival day of Santorini is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Copenhagen].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Rome, Valencia, Zurich, Riga, Florence] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Copenhagen to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 10).\n   |- The departure day of Munich is Day 7. The arrival day of Santorini is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Copenhagen to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 6 - 10).\n   |- The departure day of Rome is Day 6. The arrival day of Santorini is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Copenhagen, Rome].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Rome to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 10 - 12).\n     |- The departure day of Santorini is Day 10. The arrival day of Naples is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Copenhagen, Rome, Santorini].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- Yes. The city with an arrival day of Day 10 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from Santorini to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Stockholm (Day 18 - 20).\n       |- The departure day of Naples is Day 12. The arrival day of Stockholm is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Copenhagen, Rome, Santorini, Naples].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Valencia, Zurich, Riga, Florence] and explore these options in order.\n         |- Try arranging to visit Munich from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Naples to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 18 - 20).\n         |- The departure day of Munich is Day 16. The arrival day of Stockholm is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Copenhagen, Rome, Santorini, Naples, Munich].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Valencia, Zurich, Riga, Florence] and explore these options in order.\n           |- Try arranging to visit Valencia from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Munich to Valencia.\n           |- No. Drop this branch.\n           |- Try arranging to visit Zurich from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n           |- Check for direct flight from Munich to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Stockholm (Day 18 - 20).\n           |- The departure day of Zurich is Day 20. The arrival day of Stockholm is Day 18. Day 20 is later than (>) Day 18. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Riga from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Munich to Riga.\n           |- No. Drop this branch.\n           |- Try arranging to visit Florence from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n           |- Check for direct flight from Munich to Florence.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Valencia from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Naples to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stockholm (Day 18 - 20).\n         |- The departure day of Valencia is Day 14. The arrival day of Stockholm is Day 18. Day 14 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Munich, Zurich, Riga, Florence] and explore these options in order.\n           |- Try arranging to visit Munich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n           |- Check for direct flight from Valencia to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 18 - 20).\n           |- The departure day of Munich is Day 18. The arrival day of Stockholm is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- Yes. The city with an arrival day of Day 18 - is fixed: Stockholm.\n             |- Try arranging to visit Stockholm from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Munich to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Zurich, Riga, Florence] and explore these options in order.\n               |- Try arranging to visit Zurich from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Stockholm to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm, Zurich].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Riga, Florence] and explore these options in order.\n                 |- Try arranging to visit Riga from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Zurich to Riga.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Florence from Day 24. Duration: 4 days. Schedule: Day 24 - 27.\n                 |- Check for direct flight from Zurich to Florence.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm, Zurich, Florence].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Riga] and explore these options in order.\n                   |- Try arranging to visit Riga from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                   |- Check for direct flight from Florence to Riga.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 27 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Riga from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n               |- Check for direct flight from Stockholm to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm, Riga].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich, Florence] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n                 |- Check for direct flight from Riga to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm, Riga, Zurich].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Florence] and explore these options in order.\n                   |- Try arranging to visit Florence from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Zurich to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Copenhagen, Rome, Santorini, Naples, Valencia, Munich, Stockholm, Riga, Zurich, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Copenhagen and visit Copenhagen for 3 days.\n**Day 3:** Fly from Copenhagen to Rome.\n**Day 3-6:** Visit Rome for 4 days.\n**Day 6:** Fly from Rome to Santorini.\n**Day 6-10:** Visit Santorini for 5 days.\n**Day 10:** Fly from Santorini to Naples.\n**Day 10-12:** Visit Naples for 3 days.\n**Day 12:** Fly from Naples to Valencia.\n**Day 12-14:** Visit Valencia for 3 days.\n**Day 14:** Fly from Valencia to Munich.\n**Day 14-18:** Visit Munich for 5 days.\n**Day 18:** Fly from Munich to Stockholm.\n**Day 18-20:** Visit Stockholm for 3 days.\n**Day 20:** Fly from Stockholm to Riga.\n**Day 20-21:** Visit Riga for 2 days.\n**Day 21:** Fly from Riga to Zurich.\n**Day 21-25:** Visit Zurich for 5 days.\n**Day 25:** Fly from Zurich to Florence.\n**Day 25-28:** Visit Florence for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Rome**Athens**Geneva**Santorini**Bucharest**Zurich**Tallinn**Amsterdam**Seville",
    "ground_truth_durations": "5**3**3**2**2**4**5**3**3**4",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 22,
        "end_day": 25
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 14,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Geneva",
        "start_day": 9,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 10,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 11,
        "end_day": 14
      }
    ],
    "connected_cities": [
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Athens",
        "Zurich"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Rome",
        "Seville"
      ],
      [
        "Amsterdam",
        "Seville"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Rome",
        "Geneva"
      ],
      [
        "Athens",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Rome",
        "Zurich"
      ],
      [
        "Zurich",
        "Tallinn"
      ],
      [
        "Lyon",
        "Rome"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Geneva",
        "Amsterdam"
      ],
      [
        "Rome",
        "Bucharest"
      ],
      [
        "Rome",
        "Santorini"
      ],
      [
        "Geneva",
        "Zurich"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Zurich",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Tallinn",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 5 days. You plan to stay in Tallinn for 3 days. You want to spend 4 days in Seville. From day 22 to day 25, there is a annual show you want to attend in Seville. You would like to visit Rome for 3 days. You plan to stay in Athens for 3 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 14 and day 18 to tour together. You want to spend 3 days in Amsterdam. You want to spend 2 days in Geneva. During day 9 and day 10, you have to attend a conference in Geneva. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 10 and day 11. You want to spend 4 days in Bucharest. You are going to attend a wedding in Bucharest between day 11 and day 14.\n\nHere are the cities that have direct flights:\nBucharest and Amsterdam, Santorini and Bucharest, Athens and Bucharest, Santorini and Zurich, Athens and Zurich, Lyon and Amsterdam, Rome and Seville, Amsterdam and Seville, Rome and Amsterdam, Rome and Athens, Rome and Geneva, Athens and Amsterdam, Bucharest and Zurich, Athens and Geneva, Rome and Zurich, Zurich and Tallinn, Lyon and Rome, Geneva and Santorini, Lyon and Bucharest, Geneva and Amsterdam, Rome and Bucharest, Rome and Santorini, Geneva and Zurich, Athens and Santorini, Zurich and Amsterdam, Santorini and Amsterdam, Tallinn and Amsterdam.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 5 days. You plan to stay in Tallinn for 3 days. You want to spend 4 days in Seville. From day 22 to day 25, there is a annual show you want to attend in Seville. You would like to visit Rome for 3 days. You plan to stay in Athens for 3 days. You want to spend 5 days in Zurich. You would like to meet your friends at Zurich between day 14 and day 18 to tour together. You want to spend 3 days in Amsterdam. You want to spend 2 days in Geneva. During day 9 and day 10, you have to attend a conference in Geneva. You plan to stay in Santorini for 2 days. You plan to visit relatives in Santorini between day 10 and day 11. You want to spend 4 days in Bucharest. You are going to attend a wedding in Bucharest between day 11 and day 14.\n\nHere are the cities that have direct flights:\nfrom Bucharest to Amsterdam, from Santorini to Bucharest, from Athens to Bucharest, from Santorini to Zurich, from Athens to Zurich, from Lyon to Amsterdam, from Rome to Seville, from Amsterdam to Seville, from Rome to Amsterdam, from Rome to Athens, from Rome to Geneva, from Athens to Amsterdam, from Bucharest to Zurich, from Athens to Geneva, from Rome to Zurich, from Zurich to Tallinn, from Lyon to Rome, from Geneva to Santorini, from Lyon to Bucharest, from Geneva to Amsterdam, from Rome to Bucharest, from Rome to Santorini, from Geneva to Zurich, from Athens to Santorini, from Zurich to Amsterdam, from Santorini to Amsterdam, from Tallinn to Amsterdam.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.\n**Day 14:** Fly from Bucharest to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.\n**Day 20:** Fly from Tallinn to Amsterdam.\n**Day 20-22:** Visit Amsterdam for 3 days.\n**Day 22:** Fly from Amsterdam to Seville.\n**Day 22-25:** Visit Seville for 4 days.",
    "id": "trip_planning_example_1583",
    "estimated_output_tokens": 2688,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Seville, Duration: 4 days, Fixed Schedule: Day 22 - 25.\n* City: Rome, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 14 - 18.\n* City: Amsterdam, Duration: 3 days.\n* City: Geneva, Duration: 2 days, Fixed Schedule: Day 9 - 10.\n* City: Santorini, Duration: 2 days, Fixed Schedule: Day 10 - 11.\n* City: Bucharest, Duration: 4 days, Fixed Schedule: Day 11 - 14.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Geneva, Fixed Schedule: Day 9 - 10.\n* City: Santorini, Fixed Schedule: Day 10 - 11.\n* City: Bucharest, Fixed Schedule: Day 11 - 14.\n* City: Zurich, Fixed Schedule: Day 14 - 18.\n* City: Seville, Fixed Schedule: Day 22 - 25.\n\nCities needing arrangement:\n* City: Lyon, Duration: 5 days.\n* City: Tallinn, Duration: 3 days.\n* City: Rome, Duration: 3 days.\n* City: Athens, Duration: 3 days.\n* City: Amsterdam, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Lyon, Tallinn, Rome, Athens, Amsterdam] and explore these options in order.\n |- Try arranging to visit Lyon from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Geneva (Day 9 - 10).\n |- The departure day of Lyon is Day 5. The arrival day of Geneva is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Tallinn, Rome, Athens, Amsterdam] and explore these options in order.\n   |- Try arranging to visit Tallinn from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Tallinn.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Lyon to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Geneva (Day 9 - 10).\n   |- The departure day of Rome is Day 7. The arrival day of Geneva is Day 9. Day 7 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Lyon, Rome].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Tallinn, Athens, Amsterdam] and explore these options in order.\n     |- Try arranging to visit Tallinn from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Tallinn.\n     |- No. Drop this branch.\n     |- Try arranging to visit Athens from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Rome to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Geneva (Day 9 - 10).\n     |- The departure day of Athens is Day 9. The arrival day of Geneva is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Lyon, Rome, Athens].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- Yes. The city with an arrival day of Day 9 - is fixed: Geneva.\n       |- Try arranging to visit Geneva from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Athens to Geneva.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Santorini (Day 10 - 11).\n       |- The departure day of Geneva is Day 10. The arrival day of Santorini is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Lyon, Rome, Athens, Geneva].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Santorini.\n         |- Try arranging to visit Santorini from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Geneva to Santorini.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Bucharest (Day 11 - 14).\n         |- The departure day of Santorini is Day 11. The arrival day of Bucharest is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Lyon, Rome, Athens, Geneva, Santorini].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Bucharest.\n           |- Try arranging to visit Bucharest from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Santorini to Bucharest.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Zurich (Day 14 - 18).\n           |- The departure day of Bucharest is Day 14. The arrival day of Zurich is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Rome, Athens, Geneva, Santorini, Bucharest].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Zurich.\n             |- Try arranging to visit Zurich from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n             |- Check for direct flight from Bucharest to Zurich.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Seville (Day 22 - 25).\n             |- The departure day of Zurich is Day 18. The arrival day of Seville is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Lyon, Rome, Athens, Geneva, Santorini, Bucharest, Zurich].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Tallinn, Amsterdam] and explore these options in order.\n               |- Try arranging to visit Tallinn from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n               |- Check for direct flight from Zurich to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Seville (Day 22 - 25).\n               |- The departure day of Tallinn is Day 20. The arrival day of Seville is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Lyon, Rome, Athens, Geneva, Santorini, Bucharest, Zurich, Tallinn].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n                 |- Try arranging to visit Amsterdam from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Tallinn to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Seville (Day 22 - 25).\n                 |- The departure day of Amsterdam is Day 22. The arrival day of Seville is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Lyon, Rome, Athens, Geneva, Santorini, Bucharest, Zurich, Tallinn, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- Yes. The city with an arrival day of Day 22 - is fixed: Seville.\n                   |- Try arranging to visit Seville from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                   |- Check for direct flight from Amsterdam to Seville.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Lyon, Rome, Athens, Geneva, Santorini, Bucharest, Zurich, Tallinn, Amsterdam, Seville].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Lyon and visit Lyon for 5 days.\n**Day 5:** Fly from Lyon to Rome.\n**Day 5-7:** Visit Rome for 3 days.\n**Day 7:** Fly from Rome to Athens.\n**Day 7-9:** Visit Athens for 3 days.\n**Day 9:** Fly from Athens to Geneva.\n**Day 9-10:** Visit Geneva for 2 days.\n**Day 10:** Fly from Geneva to Santorini.\n**Day 10-11:** Visit Santorini for 2 days.\n**Day 11:** Fly from Santorini to Bucharest.\n**Day 11-14:** Visit Bucharest for 4 days.\n**Day 14:** Fly from Bucharest to Zurich.\n**Day 14-18:** Visit Zurich for 5 days.\n**Day 18:** Fly from Zurich to Tallinn.\n**Day 18-20:** Visit Tallinn for 3 days.\n**Day 20:** Fly from Tallinn to Amsterdam.\n**Day 20-22:** Visit Amsterdam for 3 days.\n**Day 22:** Fly from Amsterdam to Seville.\n**Day 22-25:** Visit Seville for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Venice**Zurich**Florence**Brussels**Vienna**Seville**Manchester**Copenhagen**Krakow**Vilnius",
    "ground_truth_durations": "2**4**4**2**5**4**5**3**2**5",
    "num_cities": 10,
    "total_days": 27,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Vienna",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Krakow",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 5,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Zurich",
        "Krakow"
      ],
      [
        "Zurich",
        "Manchester"
      ],
      [
        "Venice",
        "Vienna"
      ],
      [
        "Copenhagen",
        "Krakow"
      ],
      [
        "Venice",
        "Zurich"
      ],
      [
        "Seville",
        "Manchester"
      ],
      [
        "Florence",
        "Brussels"
      ],
      [
        "Florence",
        "Vienna"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Brussels"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Venice",
        "Copenhagen"
      ],
      [
        "Brussels",
        "Vilnius"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Manchester",
        "Krakow"
      ],
      [
        "Vienna",
        "Seville"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Zurich",
        "Vienna"
      ],
      [
        "Manchester",
        "Copenhagen"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Brussels",
        "Seville"
      ],
      [
        "Copenhagen",
        "Vilnius"
      ],
      [
        "Vienna",
        "Vilnius"
      ],
      [
        "Brussels",
        "Copenhagen"
      ],
      [
        "Venice",
        "Brussels"
      ],
      [
        "Brussels",
        "Manchester"
      ],
      [
        "Vienna",
        "Manchester"
      ],
      [
        "Zurich",
        "Vilnius"
      ],
      [
        "Venice",
        "Manchester"
      ],
      [
        "Brussels",
        "Vienna"
      ],
      [
        "Brussels",
        "Krakow"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You would like to visit Vienna for 5 days. You plan to visit relatives in Vienna between day 9 and day 13. You would like to visit Venice for 2 days. You plan to stay in Krakow for 2 days. You are going to attend a wedding in Krakow between day 22 and day 23. You plan to stay in Manchester for 5 days. You plan to stay in Copenhagen for 3 days. You want to spend 2 days in Brussels. You would like to visit Florence for 4 days. You have to attend a workshop in Florence between day 5 and day 8. You want to spend 5 days in Vilnius. You plan to stay in Seville for 4 days.\n\nHere are the cities that have direct flights:\nZurich and Krakow, Zurich and Manchester, Venice and Vienna, Copenhagen and Krakow, Venice and Zurich, Seville and Manchester, Florence and Brussels, Florence and Vienna, Vienna and Copenhagen, Zurich and Brussels, Zurich and Copenhagen, Venice and Copenhagen, Brussels and Vilnius, Vienna and Krakow, Manchester and Krakow, Vienna and Seville, from Zurich to Florence, Zurich and Vienna, Manchester and Copenhagen, from Krakow to Vilnius, Brussels and Seville, Copenhagen and Vilnius, Vienna and Vilnius, Brussels and Copenhagen, Venice and Brussels, Brussels and Manchester, Vienna and Manchester, Zurich and Vilnius, Venice and Manchester, Brussels and Vienna, Brussels and Krakow.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 27 days in total. You only take direct flights to commute between cities. You would like to visit Zurich for 4 days. You would like to visit Vienna for 5 days. You plan to visit relatives in Vienna between day 9 and day 13. You would like to visit Venice for 2 days. You plan to stay in Krakow for 2 days. You are going to attend a wedding in Krakow between day 22 and day 23. You plan to stay in Manchester for 5 days. You plan to stay in Copenhagen for 3 days. You want to spend 2 days in Brussels. You would like to visit Florence for 4 days. You have to attend a workshop in Florence between day 5 and day 8. You want to spend 5 days in Vilnius. You plan to stay in Seville for 4 days.\n\nHere are the cities that have direct flights:\nfrom Zurich to Krakow, from Zurich to Manchester, from Venice to Vienna, from Copenhagen to Krakow, from Venice to Zurich, from Seville to Manchester, from Florence to Brussels, from Florence to Vienna, from Vienna to Copenhagen, from Zurich to Brussels, from Zurich to Copenhagen, from Venice to Copenhagen, from Brussels to Vilnius, from Vienna to Krakow, from Manchester to Krakow, from Vienna to Seville, from Zurich to Florence, from Zurich to Vienna, from Manchester to Copenhagen, from Krakow to Vilnius, from Brussels to Seville, from Copenhagen to Vilnius, from Vienna to Vilnius, from Brussels to Copenhagen, from Venice to Brussels, from Brussels to Manchester, from Vienna to Manchester, from Zurich to Vilnius, from Venice to Manchester, from Brussels to Vienna, from Brussels to Krakow.\n\nFind a trip plan of visiting the cities for 27 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 27 days:\n\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Zurich.\n**Day 2-5:** Visit Zurich for 4 days.\n**Day 5:** Fly from Zurich to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Brussels.\n**Day 8-9:** Visit Brussels for 2 days.\n**Day 9:** Fly from Brussels to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Manchester.\n**Day 16-20:** Visit Manchester for 5 days.\n**Day 20:** Fly from Manchester to Copenhagen.\n**Day 20-22:** Visit Copenhagen for 3 days.\n**Day 22:** Fly from Copenhagen to Krakow.\n**Day 22-23:** Visit Krakow for 2 days.\n**Day 23:** Fly from Krakow to Vilnius.\n**Day 23-27:** Visit Vilnius for 5 days.",
    "id": "trip_planning_example_1584",
    "estimated_output_tokens": 5257,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 4 days.\n* City: Vienna, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Venice, Duration: 2 days.\n* City: Krakow, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Manchester, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n* City: Florence, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n* City: Vilnius, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 5 - 8.\n* City: Vienna, Fixed Schedule: Day 9 - 13.\n* City: Krakow, Fixed Schedule: Day 22 - 23.\n\nCities needing arrangement:\n* City: Zurich, Duration: 4 days.\n* City: Venice, Duration: 2 days.\n* City: Manchester, Duration: 5 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Brussels, Duration: 2 days.\n* City: Vilnius, Duration: 5 days.\n* City: Seville, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Zurich, Venice, Manchester, Copenhagen, Brussels, Vilnius, Seville] and explore these options in order.\n |- Try arranging to visit Zurich from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 8).\n |- The departure day of Zurich is Day 4. The arrival day of Florence is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Manchester, Copenhagen, Brussels, Vilnius, Seville] and explore these options in order.\n   |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Zurich to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Manchester from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 5 - 8).\n   |- The departure day of Manchester is Day 8. The arrival day of Florence is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Zurich to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 5 - 8).\n   |- The departure day of Copenhagen is Day 6. The arrival day of Florence is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Brussels from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Zurich to Brussels.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 5 - 8).\n   |- The departure day of Brussels is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Zurich, Brussels].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Brussels to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Vilnius from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Zurich to Vilnius.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Florence (Day 5 - 8).\n   |- The departure day of Vilnius is Day 8. The arrival day of Florence is Day 5. Day 8 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Seville from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Zurich to Seville.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 5 - 8).\n |- The departure day of Venice is Day 2. The arrival day of Florence is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Manchester, Copenhagen, Brussels, Vilnius, Seville] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Florence (Day 5 - 8).\n   |- The departure day of Zurich is Day 5. The arrival day of Florence is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Venice, Zurich].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Zurich to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Vienna (Day 9 - 13).\n     |- The departure day of Florence is Day 8. The arrival day of Vienna is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Venice, Zurich, Florence].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Manchester, Copenhagen, Brussels, Vilnius, Seville] and explore these options in order.\n       |- Try arranging to visit Manchester from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Florence to Manchester.\n       |- No. Drop this branch.\n       |- Try arranging to visit Copenhagen from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Florence to Copenhagen.\n       |- No. Drop this branch.\n       |- Try arranging to visit Brussels from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Florence to Brussels.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vienna (Day 9 - 13).\n       |- The departure day of Brussels is Day 9. The arrival day of Vienna is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Venice, Zurich, Florence, Brussels].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Vienna.\n         |- Try arranging to visit Vienna from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Brussels to Vienna.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Krakow (Day 22 - 23).\n         |- The departure day of Vienna is Day 13. The arrival day of Krakow is Day 22. Day 13 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Venice, Zurich, Florence, Brussels, Vienna].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Manchester, Copenhagen, Vilnius, Seville] and explore these options in order.\n           |- Try arranging to visit Manchester from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vienna to Manchester.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 22 - 23).\n           |- The departure day of Manchester is Day 17. The arrival day of Krakow is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Manchester].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius, Seville] and explore these options in order.\n             |- Try arranging to visit Copenhagen from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Manchester to Copenhagen.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Krakow (Day 22 - 23).\n             |- The departure day of Copenhagen is Day 19. The arrival day of Krakow is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Manchester, Copenhagen].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Vilnius, Seville] and explore these options in order.\n               |- Try arranging to visit Vilnius from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Copenhagen to Vilnius.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Krakow (Day 22 - 23).\n               |- The departure day of Vilnius is Day 23. The arrival day of Krakow is Day 22. Day 23 is later than (>) Day 22. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Seville from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Copenhagen to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Manchester to Vilnius.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Manchester to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Copenhagen from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Vienna to Copenhagen.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 22 - 23).\n           |- The departure day of Copenhagen is Day 15. The arrival day of Krakow is Day 22. Day 15 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Copenhagen].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Vilnius, Seville] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Copenhagen to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Copenhagen to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Krakow (Day 22 - 23).\n             |- The departure day of Vilnius is Day 19. The arrival day of Krakow is Day 22. Day 19 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Copenhagen, Vilnius].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Manchester, Seville] and explore these options in order.\n               |- Try arranging to visit Manchester from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Vilnius to Manchester.\n               |- No. Drop this branch.\n               |- Try arranging to visit Seville from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Vilnius to Seville.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 19 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Seville from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Copenhagen to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Vilnius from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vienna to Vilnius.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 22 - 23).\n           |- The departure day of Vilnius is Day 17. The arrival day of Krakow is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Vilnius].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Copenhagen, Seville] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Vilnius to Manchester.\n             |- No. Drop this branch.\n             |- Try arranging to visit Copenhagen from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Vilnius to Copenhagen.\n             |- No. Drop this branch.\n             |- Try arranging to visit Seville from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Vilnius to Seville.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 17 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Seville from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Vienna to Seville.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Krakow (Day 22 - 23).\n           |- The departure day of Seville is Day 16. The arrival day of Krakow is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Seville].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Manchester, Copenhagen, Vilnius] and explore these options in order.\n             |- Try arranging to visit Manchester from Day 16. Duration: 5 days. Schedule: Day 16 - 20.\n             |- Check for direct flight from Seville to Manchester.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Krakow (Day 22 - 23).\n             |- The departure day of Manchester is Day 20. The arrival day of Krakow is Day 22. Day 20 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Seville, Manchester].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Copenhagen, Vilnius] and explore these options in order.\n               |- Try arranging to visit Copenhagen from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n               |- Check for direct flight from Manchester to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Krakow (Day 22 - 23).\n               |- The departure day of Copenhagen is Day 22. The arrival day of Krakow is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Seville, Manchester, Copenhagen].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Krakow.\n                 |- Try arranging to visit Krakow from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Copenhagen to Krakow.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Seville, Manchester, Copenhagen, Krakow].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Vilnius] and explore these options in order.\n                   |- Try arranging to visit Vilnius from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                   |- Check for direct flight from Krakow to Vilnius.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 27. Current plan: [Venice, Zurich, Florence, Brussels, Vienna, Seville, Manchester, Copenhagen, Krakow, Vilnius].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Venice and visit Venice for 2 days.\n**Day 2:** Fly from Venice to Zurich.\n**Day 2-5:** Visit Zurich for 4 days.\n**Day 5:** Fly from Zurich to Florence.\n**Day 5-8:** Visit Florence for 4 days.\n**Day 8:** Fly from Florence to Brussels.\n**Day 8-9:** Visit Brussels for 2 days.\n**Day 9:** Fly from Brussels to Vienna.\n**Day 9-13:** Visit Vienna for 5 days.\n**Day 13:** Fly from Vienna to Seville.\n**Day 13-16:** Visit Seville for 4 days.\n**Day 16:** Fly from Seville to Manchester.\n**Day 16-20:** Visit Manchester for 5 days.\n**Day 20:** Fly from Manchester to Copenhagen.\n**Day 20-22:** Visit Copenhagen for 3 days.\n**Day 22:** Fly from Copenhagen to Krakow.\n**Day 22-23:** Visit Krakow for 2 days.\n**Day 23:** Fly from Krakow to Vilnius.\n**Day 23-27:** Visit Vilnius for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Zurich**Florence**Lisbon**Venice**Dublin**Rome**Budapest**Copenhagen**Stuttgart**Frankfurt",
    "ground_truth_durations": "3**2**5**4**3**2**3**2**3**3",
    "num_cities": 10,
    "total_days": 21,
    "constraints": [
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Lisbon",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 14,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 19,
        "end_day": 21
      }
    ],
    "connected_cities": [
      [
        "Dublin",
        "Budapest"
      ],
      [
        "Zurich",
        "Florence"
      ],
      [
        "Lisbon",
        "Dublin"
      ],
      [
        "Lisbon",
        "Venice"
      ],
      [
        "Rome",
        "Stuttgart"
      ],
      [
        "Zurich",
        "Copenhagen"
      ],
      [
        "Lisbon",
        "Stuttgart"
      ],
      [
        "Florence",
        "Lisbon"
      ],
      [
        "Rome",
        "Frankfurt"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Lisbon",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Rome"
      ],
      [
        "Budapest",
        "Frankfurt"
      ],
      [
        "Venice",
        "Stuttgart"
      ],
      [
        "Dublin",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Venice"
      ],
      [
        "Zurich",
        "Budapest"
      ],
      [
        "Rome",
        "Budapest"
      ],
      [
        "Zurich",
        "Frankfurt"
      ],
      [
        "Lisbon",
        "Budapest"
      ],
      [
        "Budapest",
        "Stuttgart"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Venice",
        "Frankfurt"
      ],
      [
        "Zurich",
        "Lisbon"
      ],
      [
        "Dublin",
        "Rome"
      ],
      [
        "Venice",
        "Rome"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Frankfurt"
      ],
      [
        "Dublin",
        "Frankfurt"
      ],
      [
        "Rome",
        "Copenhagen"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Zurich",
        "Dublin"
      ],
      [
        "Zurich",
        "Rome"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Copenhagen",
        "Frankfurt"
      ],
      [
        "Venice",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. During day 16 and day 17, you have to attend a conference in Copenhagen. You want to spend 5 days in Lisbon. You would like to meet your friends at Lisbon between day 4 and day 8 to tour together. You want to spend 3 days in Dublin. You want to meet a friend in Dublin between day 11 and day 13. You would like to visit Venice for 4 days. You want to spend 3 days in Stuttgart. You plan to stay in Zurich for 3 days. You would like to visit Florence for 2 days. You plan to stay in Rome for 2 days. You want to spend 3 days in Budapest. You plan to visit relatives in Budapest between day 14 and day 16. You plan to stay in Frankfurt for 3 days. From day 19 to day 21, there is a annual show you want to attend in Frankfurt.\n\nHere are the cities that have direct flights:\nDublin and Budapest, from Zurich to Florence, Lisbon and Dublin, Lisbon and Venice, Rome and Stuttgart, Zurich and Copenhagen, Lisbon and Stuttgart, Florence and Lisbon, Rome and Frankfurt, Copenhagen and Stuttgart, Lisbon and Frankfurt, Lisbon and Rome, Budapest and Frankfurt, Venice and Stuttgart, Dublin and Copenhagen, Zurich and Venice, Zurich and Budapest, Rome and Budapest, Zurich and Frankfurt, Lisbon and Budapest, Budapest and Stuttgart, Venice and Dublin, Venice and Frankfurt, Zurich and Lisbon, Dublin and Rome, Venice and Rome, Florence and Frankfurt, Stuttgart and Frankfurt, Dublin and Frankfurt, Rome and Copenhagen, Budapest and Copenhagen, Zurich and Dublin, Zurich and Rome, Lisbon and Copenhagen, Copenhagen and Frankfurt, Venice and Copenhagen.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 21 days in total. You only take direct flights to commute between cities. You plan to stay in Copenhagen for 2 days. During day 16 and day 17, you have to attend a conference in Copenhagen. You want to spend 5 days in Lisbon. You would like to meet your friends at Lisbon between day 4 and day 8 to tour together. You want to spend 3 days in Dublin. You want to meet a friend in Dublin between day 11 and day 13. You would like to visit Venice for 4 days. You want to spend 3 days in Stuttgart. You plan to stay in Zurich for 3 days. You would like to visit Florence for 2 days. You plan to stay in Rome for 2 days. You want to spend 3 days in Budapest. You plan to visit relatives in Budapest between day 14 and day 16. You plan to stay in Frankfurt for 3 days. From day 19 to day 21, there is a annual show you want to attend in Frankfurt.\n\nHere are the cities that have direct flights:\nfrom Dublin to Budapest, from Zurich to Florence, from Lisbon to Dublin, from Lisbon to Venice, from Rome to Stuttgart, from Zurich to Copenhagen, from Lisbon to Stuttgart, from Florence to Lisbon, from Rome to Frankfurt, from Copenhagen to Stuttgart, from Lisbon to Frankfurt, from Lisbon to Rome, from Budapest to Frankfurt, from Venice to Stuttgart, from Dublin to Copenhagen, from Zurich to Venice, from Zurich to Budapest, from Rome to Budapest, from Zurich to Frankfurt, from Lisbon to Budapest, from Budapest to Stuttgart, from Venice to Dublin, from Venice to Frankfurt, from Zurich to Lisbon, from Dublin to Rome, from Venice to Rome, from Florence to Frankfurt, from Stuttgart to Frankfurt, from Dublin to Frankfurt, from Rome to Copenhagen, from Budapest to Copenhagen, from Zurich to Dublin, from Zurich to Rome, from Lisbon to Copenhagen, from Copenhagen to Frankfurt, from Venice to Copenhagen.\n\nFind a trip plan of visiting the cities for 21 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 21 days:\n\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Florence.\n**Day 3-4:** Visit Florence for 2 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-8:** Visit Lisbon for 5 days.\n**Day 8:** Fly from Lisbon to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Rome.\n**Day 13-14:** Visit Rome for 2 days.\n**Day 14:** Fly from Rome to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Copenhagen.\n**Day 16-17:** Visit Copenhagen for 2 days.\n**Day 17:** Fly from Copenhagen to Stuttgart.\n**Day 17-19:** Visit Stuttgart for 3 days.\n**Day 19:** Fly from Stuttgart to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.",
    "id": "trip_planning_example_1585",
    "estimated_output_tokens": 3356,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Copenhagen, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Lisbon, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Venice, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n* City: Budapest, Duration: 3 days, Fixed Schedule: Day 14 - 16.\n* City: Frankfurt, Duration: 3 days, Fixed Schedule: Day 19 - 21.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Lisbon, Fixed Schedule: Day 4 - 8.\n* City: Dublin, Fixed Schedule: Day 11 - 13.\n* City: Budapest, Fixed Schedule: Day 14 - 16.\n* City: Copenhagen, Fixed Schedule: Day 16 - 17.\n* City: Frankfurt, Fixed Schedule: Day 19 - 21.\n\nCities needing arrangement:\n* City: Venice, Duration: 4 days.\n* City: Stuttgart, Duration: 3 days.\n* City: Zurich, Duration: 3 days.\n* City: Florence, Duration: 2 days.\n* City: Rome, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Stuttgart, Zurich, Florence, Rome] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 8).\n |- The departure day of Venice is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n   |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Venice to Lisbon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stuttgart from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stuttgart.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 8).\n |- The departure day of Stuttgart is Day 3. The arrival day of Lisbon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stuttgart].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Zurich, Florence, Rome] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Stuttgart to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Zurich from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stuttgart to Zurich.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stuttgart to Rome.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Zurich from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Zurich.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Lisbon (Day 4 - 8).\n |- The departure day of Zurich is Day 3. The arrival day of Lisbon is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Zurich].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Stuttgart, Florence, Rome] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Zurich to Venice.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 8).\n   |- The departure day of Venice is Day 6. The arrival day of Lisbon is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stuttgart from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Zurich to Stuttgart.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Zurich to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Lisbon (Day 4 - 8).\n   |- The departure day of Florence is Day 4. The arrival day of Lisbon is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Zurich, Florence].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Lisbon.\n     |- Try arranging to visit Lisbon from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Florence to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Dublin (Day 11 - 13).\n     |- The departure day of Lisbon is Day 8. The arrival day of Dublin is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Zurich, Florence, Lisbon].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Venice, Stuttgart, Rome] and explore these options in order.\n       |- Try arranging to visit Venice from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Lisbon to Venice.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Dublin (Day 11 - 13).\n       |- The departure day of Venice is Day 11. The arrival day of Dublin is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Zurich, Florence, Lisbon, Venice].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Dublin.\n         |- Try arranging to visit Dublin from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Venice to Dublin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Budapest (Day 14 - 16).\n         |- The departure day of Dublin is Day 13. The arrival day of Budapest is Day 14. Day 13 is not later than (<=) Day 14. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Stuttgart, Rome] and explore these options in order.\n           |- Try arranging to visit Stuttgart from Day 13. Duration: 3 days. Schedule: Day 13 - 15.\n           |- Check for direct flight from Dublin to Stuttgart.\n           |- No. Drop this branch.\n           |- Try arranging to visit Rome from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n           |- Check for direct flight from Dublin to Rome.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Budapest (Day 14 - 16).\n           |- The departure day of Rome is Day 14. The arrival day of Budapest is Day 14. Day 14 is not later than (<=) Day 14. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin, Rome].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- Yes. The city with an arrival day of Day 14 - is fixed: Budapest.\n             |- Try arranging to visit Budapest from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Rome to Budapest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Copenhagen (Day 16 - 17).\n             |- The departure day of Budapest is Day 16. The arrival day of Copenhagen is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin, Rome, Budapest].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Copenhagen.\n               |- Try arranging to visit Copenhagen from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n               |- Check for direct flight from Budapest to Copenhagen.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 19 - 21).\n               |- The departure day of Copenhagen is Day 17. The arrival day of Frankfurt is Day 19. Day 17 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 17. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin, Rome, Budapest, Copenhagen].\n                |- Check whether the city with an arrival day of Day 17 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stuttgart] and explore these options in order.\n                 |- Try arranging to visit Stuttgart from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n                 |- Check for direct flight from Copenhagen to Stuttgart.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Frankfurt (Day 19 - 21).\n                 |- The departure day of Stuttgart is Day 19. The arrival day of Frankfurt is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin, Rome, Budapest, Copenhagen, Stuttgart].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- Yes. The city with an arrival day of Day 19 - is fixed: Frankfurt.\n                   |- Try arranging to visit Frankfurt from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n                   |- Check for direct flight from Stuttgart to Frankfurt.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 21. Current plan: [Zurich, Florence, Lisbon, Venice, Dublin, Rome, Budapest, Copenhagen, Stuttgart, Frankfurt].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Zurich and visit Zurich for 3 days.\n**Day 3:** Fly from Zurich to Florence.\n**Day 3-4:** Visit Florence for 2 days.\n**Day 4:** Fly from Florence to Lisbon.\n**Day 4-8:** Visit Lisbon for 5 days.\n**Day 8:** Fly from Lisbon to Venice.\n**Day 8-11:** Visit Venice for 4 days.\n**Day 11:** Fly from Venice to Dublin.\n**Day 11-13:** Visit Dublin for 3 days.\n**Day 13:** Fly from Dublin to Rome.\n**Day 13-14:** Visit Rome for 2 days.\n**Day 14:** Fly from Rome to Budapest.\n**Day 14-16:** Visit Budapest for 3 days.\n**Day 16:** Fly from Budapest to Copenhagen.\n**Day 16-17:** Visit Copenhagen for 2 days.\n**Day 17:** Fly from Copenhagen to Stuttgart.\n**Day 17-19:** Visit Stuttgart for 3 days.\n**Day 19:** Fly from Stuttgart to Frankfurt.\n**Day 19-21:** Visit Frankfurt for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Brussels**Florence**Frankfurt**Rome**Berlin**Venice**Athens**Dubrovnik**Istanbul**Riga",
    "ground_truth_durations": "2**3**2**5**5**5**4**5**2**5",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Brussels",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 4,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 5,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 2,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Riga",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 13,
        "end_day": 17
      }
    ],
    "connected_cities": [
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Venice",
        "Istanbul"
      ],
      [
        "Berlin",
        "Riga"
      ],
      [
        "Venice",
        "Athens"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Rome",
        "Istanbul"
      ],
      [
        "Rome",
        "Berlin"
      ],
      [
        "Brussels",
        "Berlin"
      ],
      [
        "Brussels",
        "Venice"
      ],
      [
        "Brussels",
        "Riga"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Brussels",
        "Florence"
      ],
      [
        "Athens",
        "Dubrovnik"
      ],
      [
        "Rome",
        "Riga"
      ],
      [
        "Brussels",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Rome"
      ],
      [
        "Frankfurt",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Rome"
      ],
      [
        "Frankfurt",
        "Berlin"
      ],
      [
        "Brussels",
        "Athens"
      ],
      [
        "Berlin",
        "Istanbul"
      ],
      [
        "Frankfurt",
        "Istanbul"
      ],
      [
        "Dubrovnik",
        "Istanbul"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Brussels",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Athens"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Rome",
        "Athens"
      ],
      [
        "Athens",
        "Istanbul"
      ],
      [
        "Berlin",
        "Venice"
      ],
      [
        "Frankfurt",
        "Riga"
      ],
      [
        "Frankfurt",
        "Venice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You would like to visit Istanbul for 2 days. You plan to stay in Brussels for 2 days. You would like to visit Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 4 and day 5. You would like to visit Rome for 5 days. You want to meet a friend in Rome between day 5 and day 9. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 2 and day 4. You want to spend 5 days in Riga. During day 25 and day 29, you have to attend a conference in Riga. You plan to stay in Athens for 4 days. You plan to stay in Berlin for 5 days. You would like to visit Venice for 5 days. You plan to visit relatives in Venice between day 13 and day 17.\n\nHere are the cities that have direct flights:\nIstanbul and Riga, Venice and Istanbul, Berlin and Riga, Venice and Athens, Florence and Frankfurt, Rome and Istanbul, Rome and Berlin, Brussels and Berlin, Brussels and Venice, Brussels and Riga, Berlin and Athens, Brussels and Florence, Athens and Dubrovnik, from Rome to Riga, Brussels and Istanbul, Frankfurt and Rome, Frankfurt and Dubrovnik, Brussels and Rome, Frankfurt and Berlin, Brussels and Athens, Berlin and Istanbul, Frankfurt and Istanbul, from Dubrovnik to Istanbul, Rome and Venice, Rome and Dubrovnik, from Brussels to Frankfurt, Frankfurt and Athens, from Athens to Riga, Rome and Athens, Athens and Istanbul, Berlin and Venice, Frankfurt and Riga, Frankfurt and Venice.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You want to spend 5 days in Dubrovnik. You would like to visit Istanbul for 2 days. You plan to stay in Brussels for 2 days. You would like to visit Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 4 and day 5. You would like to visit Rome for 5 days. You want to meet a friend in Rome between day 5 and day 9. You plan to stay in Florence for 3 days. You are going to attend a wedding in Florence between day 2 and day 4. You want to spend 5 days in Riga. During day 25 and day 29, you have to attend a conference in Riga. You plan to stay in Athens for 4 days. You plan to stay in Berlin for 5 days. You would like to visit Venice for 5 days. You plan to visit relatives in Venice between day 13 and day 17.\n\nHere are the cities that have direct flights:\nfrom Istanbul to Riga, from Venice to Istanbul, from Berlin to Riga, from Venice to Athens, from Florence to Frankfurt, from Rome to Istanbul, from Rome to Berlin, from Brussels to Berlin, from Brussels to Venice, from Brussels to Riga, from Berlin to Athens, from Brussels to Florence, from Athens to Dubrovnik, from Rome to Riga, from Brussels to Istanbul, from Frankfurt to Rome, from Frankfurt to Dubrovnik, from Brussels to Rome, from Frankfurt to Berlin, from Brussels to Athens, from Berlin to Istanbul, from Frankfurt to Istanbul, from Dubrovnik to Istanbul, from Rome to Venice, from Rome to Dubrovnik, from Brussels to Frankfurt, from Frankfurt to Athens, from Athens to Riga, from Rome to Athens, from Athens to Istanbul, from Berlin to Venice, from Frankfurt to Riga, from Frankfurt to Venice.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Florence.\n**Day 2-4:** Visit Florence for 3 days.\n**Day 4:** Fly from Florence to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Athens.\n**Day 17-20:** Visit Athens for 4 days.\n**Day 20:** Fly from Athens to Dubrovnik.\n**Day 20-24:** Visit Dubrovnik for 5 days.\n**Day 24:** Fly from Dubrovnik to Istanbul.\n**Day 24-25:** Visit Istanbul for 2 days.\n**Day 25:** Fly from Istanbul to Riga.\n**Day 25-29:** Visit Riga for 5 days.",
    "id": "trip_planning_example_1586",
    "estimated_output_tokens": 4540,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Dubrovnik, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 4 - 5.\n* City: Rome, Duration: 5 days, Fixed Schedule: Day 5 - 9.\n* City: Florence, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n* City: Riga, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Athens, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n* City: Venice, Duration: 5 days, Fixed Schedule: Day 13 - 17.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Florence, Fixed Schedule: Day 2 - 4.\n* City: Frankfurt, Fixed Schedule: Day 4 - 5.\n* City: Rome, Fixed Schedule: Day 5 - 9.\n* City: Venice, Fixed Schedule: Day 13 - 17.\n* City: Riga, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Dubrovnik, Duration: 5 days.\n* City: Istanbul, Duration: 2 days.\n* City: Brussels, Duration: 2 days.\n* City: Athens, Duration: 4 days.\n* City: Berlin, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul, Brussels, Athens, Berlin] and explore these options in order.\n |- Try arranging to visit Dubrovnik from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Dubrovnik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 4).\n |- The departure day of Dubrovnik is Day 5. The arrival day of Florence is Day 2. Day 5 is later than (>) Day 2. This arrangement is incompatible. Drop this branch.\n |- Try arranging to visit Istanbul from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Istanbul.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 4).\n |- The departure day of Istanbul is Day 2. The arrival day of Florence is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Istanbul].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Istanbul to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Brussels from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Brussels.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Florence (Day 2 - 4).\n |- The departure day of Brussels is Day 2. The arrival day of Florence is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Brussels].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Florence.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Brussels to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Frankfurt (Day 4 - 5).\n   |- The departure day of Florence is Day 4. The arrival day of Frankfurt is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Brussels, Florence].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Frankfurt.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Florence to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Rome (Day 5 - 9).\n     |- The departure day of Frankfurt is Day 5. The arrival day of Rome is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Brussels, Florence, Frankfurt].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Rome.\n       |- Try arranging to visit Rome from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n       |- Check for direct flight from Frankfurt to Rome.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Venice (Day 13 - 17).\n       |- The departure day of Rome is Day 9. The arrival day of Venice is Day 13. Day 9 is not later than (<=) Day 13. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Brussels, Florence, Frankfurt, Rome].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul, Athens, Berlin] and explore these options in order.\n         |- Try arranging to visit Dubrovnik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Rome to Dubrovnik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 13 - 17).\n         |- The departure day of Dubrovnik is Day 13. The arrival day of Venice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Florence, Frankfurt, Rome, Dubrovnik].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Dubrovnik to Venice.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Istanbul from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n         |- Check for direct flight from Rome to Istanbul.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 13 - 17).\n         |- The departure day of Istanbul is Day 10. The arrival day of Venice is Day 13. Day 10 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 10. Current plan: [Brussels, Florence, Frankfurt, Rome, Istanbul].\n          |- Check whether the city with an arrival day of Day 10 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Athens, Berlin] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Istanbul to Dubrovnik.\n           |- No. Drop this branch.\n           |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n           |- Check for direct flight from Istanbul to Athens.\n           |- No. Drop this branch.\n           |- Try arranging to visit Berlin from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n           |- Check for direct flight from Istanbul to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Athens from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Rome to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 13 - 17).\n         |- The departure day of Athens is Day 12. The arrival day of Venice is Day 13. Day 12 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Brussels, Florence, Frankfurt, Rome, Athens].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul, Berlin] and explore these options in order.\n           |- Try arranging to visit Dubrovnik from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Athens to Dubrovnik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 13 - 17).\n           |- The departure day of Dubrovnik is Day 16. The arrival day of Venice is Day 13. Day 16 is later than (>) Day 13. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Istanbul from Day 12. Duration: 2 days. Schedule: Day 12 - 13.\n           |- Check for direct flight from Athens to Istanbul.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Venice (Day 13 - 17).\n           |- The departure day of Istanbul is Day 13. The arrival day of Venice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 13. Current plan: [Brussels, Florence, Frankfurt, Rome, Athens, Istanbul].\n            |- Check whether the city with an arrival day of Day 13 - is fixed.\n            |- Yes. The city with an arrival day of Day 13 - is fixed: Venice.\n             |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n             |- Check for direct flight from Istanbul to Venice.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Berlin from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Athens to Berlin.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Berlin from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n         |- Check for direct flight from Rome to Berlin.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Venice (Day 13 - 17).\n         |- The departure day of Berlin is Day 13. The arrival day of Venice is Day 13. Day 13 is not later than (<=) Day 13. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- Yes. The city with an arrival day of Day 13 - is fixed: Venice.\n           |- Try arranging to visit Venice from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Berlin to Venice.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Riga (Day 25 - 29).\n           |- The departure day of Venice is Day 17. The arrival day of Riga is Day 25. Day 17 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul, Athens] and explore these options in order.\n             |- Try arranging to visit Dubrovnik from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Venice to Dubrovnik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Istanbul from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Venice to Istanbul.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 25 - 29).\n             |- The departure day of Istanbul is Day 18. The arrival day of Riga is Day 25. Day 18 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice, Istanbul].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Athens] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Istanbul to Dubrovnik.\n               |- No. Drop this branch.\n               |- Try arranging to visit Athens from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n               |- Check for direct flight from Istanbul to Athens.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 18 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Athens from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n             |- Check for direct flight from Venice to Athens.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Riga (Day 25 - 29).\n             |- The departure day of Athens is Day 20. The arrival day of Riga is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice, Athens].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Dubrovnik, Istanbul] and explore these options in order.\n               |- Try arranging to visit Dubrovnik from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n               |- Check for direct flight from Athens to Dubrovnik.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Riga (Day 25 - 29).\n               |- The departure day of Dubrovnik is Day 24. The arrival day of Riga is Day 25. Day 24 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 24. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice, Athens, Dubrovnik].\n                |- Check whether the city with an arrival day of Day 24 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n                 |- Try arranging to visit Istanbul from Day 24. Duration: 2 days. Schedule: Day 24 - 25.\n                 |- Check for direct flight from Dubrovnik to Istanbul.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 24: Riga (Day 25 - 29).\n                 |- The departure day of Istanbul is Day 25. The arrival day of Riga is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice, Athens, Dubrovnik, Istanbul].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Riga.\n                   |- Try arranging to visit Riga from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                   |- Check for direct flight from Istanbul to Riga.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Brussels, Florence, Frankfurt, Rome, Berlin, Venice, Athens, Dubrovnik, Istanbul, Riga].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Brussels and visit Brussels for 2 days.\n**Day 2:** Fly from Brussels to Florence.\n**Day 2-4:** Visit Florence for 3 days.\n**Day 4:** Fly from Florence to Frankfurt.\n**Day 4-5:** Visit Frankfurt for 2 days.\n**Day 5:** Fly from Frankfurt to Rome.\n**Day 5-9:** Visit Rome for 5 days.\n**Day 9:** Fly from Rome to Berlin.\n**Day 9-13:** Visit Berlin for 5 days.\n**Day 13:** Fly from Berlin to Venice.\n**Day 13-17:** Visit Venice for 5 days.\n**Day 17:** Fly from Venice to Athens.\n**Day 17-20:** Visit Athens for 4 days.\n**Day 20:** Fly from Athens to Dubrovnik.\n**Day 20-24:** Visit Dubrovnik for 5 days.\n**Day 24:** Fly from Dubrovnik to Istanbul.\n**Day 24-25:** Visit Istanbul for 2 days.\n**Day 25:** Fly from Istanbul to Riga.\n**Day 25-29:** Visit Riga for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Reykjavik**Rome**Venice**Naples**Barcelona**Dublin**Stockholm**Krakow**Vilnius**Amsterdam",
    "ground_truth_durations": "3**2**2**2**4**3**4**3**4**5",
    "num_cities": 10,
    "total_days": 23,
    "constraints": [
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 5,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dublin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Dublin",
        "start_day": 9,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Rome"
      ],
      [
        "Krakow",
        "Vilnius"
      ],
      [
        "Dublin",
        "Krakow"
      ],
      [
        "Reykjavik",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Rome",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Amsterdam"
      ],
      [
        "Rome",
        "Stockholm"
      ],
      [
        "Venice",
        "Barcelona"
      ],
      [
        "Rome",
        "Naples"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Reykjavik",
        "Dublin"
      ],
      [
        "Venice",
        "Dublin"
      ],
      [
        "Vilnius",
        "Amsterdam"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Rome",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Dublin"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Venice",
        "Naples"
      ],
      [
        "Stockholm",
        "Amsterdam"
      ],
      [
        "Naples",
        "Barcelona"
      ],
      [
        "Dublin",
        "Amsterdam"
      ],
      [
        "Dublin",
        "Stockholm"
      ],
      [
        "Venice",
        "Amsterdam"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Rome",
        "Dublin"
      ],
      [
        "Rome",
        "Venice"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Krakow",
        "Amsterdam"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. From day 6 to day 9, there is a annual show you want to attend in Barcelona. You want to spend 2 days in Naples. You plan to visit relatives in Naples between day 5 and day 6. You plan to stay in Venice for 2 days. You want to spend 5 days in Amsterdam. You would like to visit Reykjavik for 3 days. You want to spend 3 days in Dublin. During day 9 and day 11, you have to attend a conference in Dublin. You plan to stay in Rome for 2 days. You would like to visit Krakow for 3 days. You want to spend 4 days in Vilnius. You want to meet a friend in Vilnius between day 16 and day 19. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nNaples and Dublin, Reykjavik and Rome, from Krakow to Vilnius, Dublin and Krakow, Reykjavik and Stockholm, Barcelona and Stockholm, Rome and Amsterdam, Reykjavik and Amsterdam, Rome and Stockholm, Venice and Barcelona, Rome and Naples, Barcelona and Amsterdam, Reykjavik and Dublin, Venice and Dublin, Vilnius and Amsterdam, Naples and Amsterdam, Rome and Barcelona, Barcelona and Dublin, Reykjavik and Barcelona, Venice and Naples, Stockholm and Amsterdam, Naples and Barcelona, Dublin and Amsterdam, Dublin and Stockholm, Venice and Amsterdam, Barcelona and Krakow, Rome and Dublin, Rome and Venice, Stockholm and Krakow, Krakow and Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 23 days in total. You only take direct flights to commute between cities. You want to spend 4 days in Barcelona. From day 6 to day 9, there is a annual show you want to attend in Barcelona. You want to spend 2 days in Naples. You plan to visit relatives in Naples between day 5 and day 6. You plan to stay in Venice for 2 days. You want to spend 5 days in Amsterdam. You would like to visit Reykjavik for 3 days. You want to spend 3 days in Dublin. During day 9 and day 11, you have to attend a conference in Dublin. You plan to stay in Rome for 2 days. You would like to visit Krakow for 3 days. You want to spend 4 days in Vilnius. You want to meet a friend in Vilnius between day 16 and day 19. You would like to visit Stockholm for 4 days.\n\nHere are the cities that have direct flights:\nfrom Naples to Dublin, from Reykjavik to Rome, from Krakow to Vilnius, from Dublin to Krakow, from Reykjavik to Stockholm, from Barcelona to Stockholm, from Rome to Amsterdam, from Reykjavik to Amsterdam, from Rome to Stockholm, from Venice to Barcelona, from Rome to Naples, from Barcelona to Amsterdam, from Reykjavik to Dublin, from Venice to Dublin, from Vilnius to Amsterdam, from Naples to Amsterdam, from Rome to Barcelona, from Barcelona to Dublin, from Reykjavik to Barcelona, from Venice to Naples, from Stockholm to Amsterdam, from Naples to Barcelona, from Dublin to Amsterdam, from Dublin to Stockholm, from Venice to Amsterdam, from Barcelona to Krakow, from Rome to Dublin, from Rome to Venice, from Stockholm to Krakow, from Krakow to Amsterdam.\n\nFind a trip plan of visiting the cities for 23 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 23 days:\n\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Naples.\n**Day 5-6:** Visit Naples for 2 days.\n**Day 6:** Fly from Naples to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.\n**Day 19:** Fly from Vilnius to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.",
    "id": "trip_planning_example_1587",
    "estimated_output_tokens": 4323,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Naples, Duration: 2 days, Fixed Schedule: Day 5 - 6.\n* City: Venice, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Dublin, Duration: 3 days, Fixed Schedule: Day 9 - 11.\n* City: Rome, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Stockholm, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Naples, Fixed Schedule: Day 5 - 6.\n* City: Barcelona, Fixed Schedule: Day 6 - 9.\n* City: Dublin, Fixed Schedule: Day 9 - 11.\n* City: Vilnius, Fixed Schedule: Day 16 - 19.\n\nCities needing arrangement:\n* City: Venice, Duration: 2 days.\n* City: Amsterdam, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Rome, Duration: 2 days.\n* City: Krakow, Duration: 3 days.\n* City: Stockholm, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Venice, Amsterdam, Reykjavik, Rome, Krakow, Stockholm] and explore these options in order.\n |- Try arranging to visit Venice from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Venice.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 6).\n |- The departure day of Venice is Day 2. The arrival day of Naples is Day 5. Day 2 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Venice].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Amsterdam, Reykjavik, Rome, Krakow, Stockholm] and explore these options in order.\n   |- Try arranging to visit Amsterdam from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Venice to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Naples (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 6. The arrival day of Naples is Day 5. Day 6 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Rome from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Venice to Rome.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Venice to Krakow.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Venice to Stockholm.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 6).\n |- The departure day of Amsterdam is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n   |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Amsterdam to Naples.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Reykjavik from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Reykjavik.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 5 - 6).\n |- The departure day of Reykjavik is Day 3. The arrival day of Naples is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Reykjavik].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Venice, Amsterdam, Rome, Krakow, Stockholm] and explore these options in order.\n   |- Try arranging to visit Venice from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Venice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Reykjavik to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 6).\n   |- The departure day of Amsterdam is Day 7. The arrival day of Naples is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Rome from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Reykjavik to Rome.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Naples (Day 5 - 6).\n   |- The departure day of Rome is Day 4. The arrival day of Naples is Day 5. Day 4 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Reykjavik, Rome].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Venice, Amsterdam, Krakow, Stockholm] and explore these options in order.\n     |- Try arranging to visit Venice from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Rome to Venice.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 5 - 6).\n     |- The departure day of Venice is Day 5. The arrival day of Naples is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Reykjavik, Rome, Venice].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- Yes. The city with an arrival day of Day 5 - is fixed: Naples.\n       |- Try arranging to visit Naples from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n       |- Check for direct flight from Venice to Naples.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Barcelona (Day 6 - 9).\n       |- The departure day of Naples is Day 6. The arrival day of Barcelona is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 6. Current plan: [Reykjavik, Rome, Venice, Naples].\n        |- Check whether the city with an arrival day of Day 6 - is fixed.\n        |- Yes. The city with an arrival day of Day 6 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n         |- Check for direct flight from Naples to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Dublin (Day 9 - 11).\n         |- The departure day of Barcelona is Day 9. The arrival day of Dublin is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- Yes. The city with an arrival day of Day 9 - is fixed: Dublin.\n           |- Try arranging to visit Dublin from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n           |- Check for direct flight from Barcelona to Dublin.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 16 - 19).\n           |- The departure day of Dublin is Day 11. The arrival day of Vilnius is Day 16. Day 11 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 11. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin].\n            |- Check whether the city with an arrival day of Day 11 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Amsterdam, Krakow, Stockholm] and explore these options in order.\n             |- Try arranging to visit Amsterdam from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n             |- Check for direct flight from Dublin to Amsterdam.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 16 - 19).\n             |- The departure day of Amsterdam is Day 15. The arrival day of Vilnius is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Amsterdam].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow, Stockholm] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 15. Duration: 3 days. Schedule: Day 15 - 17.\n               |- Check for direct flight from Amsterdam to Krakow.\n               |- No. Drop this branch.\n               |- Try arranging to visit Stockholm from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n               |- Check for direct flight from Amsterdam to Stockholm.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Krakow from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n             |- Check for direct flight from Dublin to Krakow.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 16 - 19).\n             |- The departure day of Krakow is Day 13. The arrival day of Vilnius is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 13. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Krakow].\n              |- Check whether the city with an arrival day of Day 13 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Amsterdam, Stockholm] and explore these options in order.\n               |- Try arranging to visit Amsterdam from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n               |- Check for direct flight from Krakow to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Vilnius (Day 16 - 19).\n               |- The departure day of Amsterdam is Day 17. The arrival day of Vilnius is Day 16. Day 17 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Stockholm from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n               |- Check for direct flight from Krakow to Stockholm.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 13 in the current arrangement. Drop this branch.\n             |- Try arranging to visit Stockholm from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n             |- Check for direct flight from Dublin to Stockholm.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Vilnius (Day 16 - 19).\n             |- The departure day of Stockholm is Day 14. The arrival day of Vilnius is Day 16. Day 14 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 14. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Stockholm].\n              |- Check whether the city with an arrival day of Day 14 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Amsterdam, Krakow] and explore these options in order.\n               |- Try arranging to visit Amsterdam from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n               |- Check for direct flight from Stockholm to Amsterdam.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 16 - 19).\n               |- The departure day of Amsterdam is Day 18. The arrival day of Vilnius is Day 16. Day 18 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n               |- Try arranging to visit Krakow from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n               |- Check for direct flight from Stockholm to Krakow.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Vilnius (Day 16 - 19).\n               |- The departure day of Krakow is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Stockholm, Krakow].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n                 |- Try arranging to visit Vilnius from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n                 |- Check for direct flight from Krakow to Vilnius.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 19. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Stockholm, Krakow, Vilnius].\n                  |- Check whether the city with an arrival day of Day 19 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Amsterdam] and explore these options in order.\n                   |- Try arranging to visit Amsterdam from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                   |- Check for direct flight from Vilnius to Amsterdam.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 23. Current plan: [Reykjavik, Rome, Venice, Naples, Barcelona, Dublin, Stockholm, Krakow, Vilnius, Amsterdam].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Reykjavik and visit Reykjavik for 3 days.\n**Day 3:** Fly from Reykjavik to Rome.\n**Day 3-4:** Visit Rome for 2 days.\n**Day 4:** Fly from Rome to Venice.\n**Day 4-5:** Visit Venice for 2 days.\n**Day 5:** Fly from Venice to Naples.\n**Day 5-6:** Visit Naples for 2 days.\n**Day 6:** Fly from Naples to Barcelona.\n**Day 6-9:** Visit Barcelona for 4 days.\n**Day 9:** Fly from Barcelona to Dublin.\n**Day 9-11:** Visit Dublin for 3 days.\n**Day 11:** Fly from Dublin to Stockholm.\n**Day 11-14:** Visit Stockholm for 4 days.\n**Day 14:** Fly from Stockholm to Krakow.\n**Day 14-16:** Visit Krakow for 3 days.\n**Day 16:** Fly from Krakow to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.\n**Day 19:** Fly from Vilnius to Amsterdam.\n**Day 19-23:** Visit Amsterdam for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Naples**Istanbul**Riga**Prague**Geneva**Santorini**Oslo**Tallinn**Frankfurt**Venice",
    "ground_truth_durations": "2**3**3**3**4**5**4**2**5**4",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 6,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Venice",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Venice",
        "start_day": 23,
        "end_day": 26
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Istanbul",
        "start_day": 2,
        "end_day": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Oslo"
      ],
      [
        "Prague",
        "Geneva"
      ],
      [
        "Istanbul",
        "Prague"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Oslo",
        "Venice"
      ],
      [
        "Naples",
        "Santorini"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Riga",
        "Tallinn"
      ],
      [
        "Naples",
        "Frankfurt"
      ],
      [
        "Istanbul",
        "Oslo"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Riga",
        "Prague"
      ],
      [
        "Riga",
        "Oslo"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Naples",
        "Geneva"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "Istanbul",
        "Venice"
      ],
      [
        "Frankfurt",
        "Venice"
      ],
      [
        "Geneva",
        "Oslo"
      ],
      [
        "Naples",
        "Istanbul"
      ],
      [
        "Naples",
        "Venice"
      ],
      [
        "Istanbul",
        "Frankfurt"
      ],
      [
        "Tallinn",
        "Frankfurt"
      ],
      [
        "Geneva",
        "Santorini"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Riga",
        "Frankfurt"
      ],
      [
        "Santorini",
        "Venice"
      ],
      [
        "Istanbul",
        "Riga"
      ],
      [
        "Istanbul",
        "Geneva"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You want to spend 2 days in Tallinn. You plan to visit relatives in Tallinn between day 18 and day 19. You plan to stay in Prague for 3 days. You have to attend a workshop in Prague between day 6 and day 8. You want to spend 5 days in Santorini. You would like to visit Riga for 3 days. You want to spend 4 days in Oslo. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 23 and day 26 to tour together. You plan to stay in Frankfurt for 5 days. You plan to stay in Geneva for 4 days. You would like to visit Istanbul for 3 days. You are going to attend a wedding in Istanbul between day 2 and day 4.\n\nHere are the cities that have direct flights:\nNaples and Oslo, Prague and Geneva, Istanbul and Prague, Prague and Oslo, Oslo and Tallinn, Oslo and Venice, Naples and Santorini, Geneva and Frankfurt, from Riga to Tallinn, Naples and Frankfurt, Istanbul and Oslo, Prague and Tallinn, Riga and Prague, Riga and Oslo, Prague and Frankfurt, Naples and Geneva, from Santorini to Oslo, Istanbul and Venice, Frankfurt and Venice, Geneva and Oslo, Naples and Istanbul, Naples and Venice, Istanbul and Frankfurt, Tallinn and Frankfurt, Geneva and Santorini, from Istanbul to Tallinn, Oslo and Frankfurt, Riga and Frankfurt, Santorini and Venice, Istanbul and Riga, Istanbul and Geneva.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Naples for 2 days. You want to spend 2 days in Tallinn. You plan to visit relatives in Tallinn between day 18 and day 19. You plan to stay in Prague for 3 days. You have to attend a workshop in Prague between day 6 and day 8. You want to spend 5 days in Santorini. You would like to visit Riga for 3 days. You want to spend 4 days in Oslo. You want to spend 4 days in Venice. You would like to meet your friends at Venice between day 23 and day 26 to tour together. You plan to stay in Frankfurt for 5 days. You plan to stay in Geneva for 4 days. You would like to visit Istanbul for 3 days. You are going to attend a wedding in Istanbul between day 2 and day 4.\n\nHere are the cities that have direct flights:\nfrom Naples to Oslo, from Prague to Geneva, from Istanbul to Prague, from Prague to Oslo, from Oslo to Tallinn, from Oslo to Venice, from Naples to Santorini, from Geneva to Frankfurt, from Riga to Tallinn, from Naples to Frankfurt, from Istanbul to Oslo, from Prague to Tallinn, from Riga to Prague, from Riga to Oslo, from Prague to Frankfurt, from Naples to Geneva, from Santorini to Oslo, from Istanbul to Venice, from Frankfurt to Venice, from Geneva to Oslo, from Naples to Istanbul, from Naples to Venice, from Istanbul to Frankfurt, from Tallinn to Frankfurt, from Geneva to Santorini, from Istanbul to Tallinn, from Oslo to Frankfurt, from Riga to Frankfurt, from Santorini to Venice, from Istanbul to Riga, from Istanbul to Geneva.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Geneva.\n**Day 8-11:** Visit Geneva for 4 days.\n**Day 11:** Fly from Geneva to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n**Day 19:** Fly from Tallinn to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Venice.\n**Day 23-26:** Visit Venice for 4 days.",
    "id": "trip_planning_example_1588",
    "estimated_output_tokens": 3689,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Naples, Duration: 2 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Prague, Duration: 3 days, Fixed Schedule: Day 6 - 8.\n* City: Santorini, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Venice, Duration: 4 days, Fixed Schedule: Day 23 - 26.\n* City: Frankfurt, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n* City: Istanbul, Duration: 3 days, Fixed Schedule: Day 2 - 4.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Istanbul, Fixed Schedule: Day 2 - 4.\n* City: Prague, Fixed Schedule: Day 6 - 8.\n* City: Tallinn, Fixed Schedule: Day 18 - 19.\n* City: Venice, Fixed Schedule: Day 23 - 26.\n\nCities needing arrangement:\n* City: Naples, Duration: 2 days.\n* City: Santorini, Duration: 5 days.\n* City: Riga, Duration: 3 days.\n* City: Oslo, Duration: 4 days.\n* City: Frankfurt, Duration: 5 days.\n* City: Geneva, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Naples, Santorini, Riga, Oslo, Frankfurt, Geneva] and explore these options in order.\n |- Try arranging to visit Naples from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Naples.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Istanbul (Day 2 - 4).\n |- The departure day of Naples is Day 2. The arrival day of Istanbul is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Naples].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Istanbul.\n   |- Try arranging to visit Istanbul from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Naples to Istanbul.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 6 - 8).\n   |- The departure day of Istanbul is Day 4. The arrival day of Prague is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Naples, Istanbul].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Santorini, Riga, Oslo, Frankfurt, Geneva] and explore these options in order.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Istanbul to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Istanbul to Riga.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 8).\n     |- The departure day of Riga is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Naples, Istanbul, Riga].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n       |- Try arranging to visit Prague from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Riga to Prague.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 18 - 19).\n       |- The departure day of Prague is Day 8. The arrival day of Tallinn is Day 18. Day 8 is not later than (<=) Day 18. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Naples, Istanbul, Riga, Prague].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Santorini, Oslo, Frankfurt, Geneva] and explore these options in order.\n         |- Try arranging to visit Santorini from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Prague to Santorini.\n         |- No. Drop this branch.\n         |- Try arranging to visit Oslo from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Prague to Oslo.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 19).\n         |- The departure day of Oslo is Day 11. The arrival day of Tallinn is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Naples, Istanbul, Riga, Prague, Oslo].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Frankfurt, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Oslo to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Frankfurt from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Oslo to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 18 - 19).\n           |- The departure day of Frankfurt is Day 15. The arrival day of Tallinn is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Naples, Istanbul, Riga, Prague, Oslo, Frankfurt].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Geneva] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Frankfurt to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Frankfurt to Geneva.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 15 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Geneva from Day 11. Duration: 4 days. Schedule: Day 11 - 14.\n           |- Check for direct flight from Oslo to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Frankfurt from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Prague to Frankfurt.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 19).\n         |- The departure day of Frankfurt is Day 12. The arrival day of Tallinn is Day 18. Day 12 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Naples, Istanbul, Riga, Prague, Frankfurt].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Oslo, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Frankfurt to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Oslo from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Oslo.\n           |- No. Drop this branch.\n           |- Try arranging to visit Geneva from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n           |- Check for direct flight from Frankfurt to Geneva.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Geneva from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Prague to Geneva.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Tallinn (Day 18 - 19).\n         |- The departure day of Geneva is Day 11. The arrival day of Tallinn is Day 18. Day 11 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Naples, Istanbul, Riga, Prague, Geneva].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Oslo, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Geneva to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Tallinn (Day 18 - 19).\n           |- The departure day of Santorini is Day 15. The arrival day of Tallinn is Day 18. Day 15 is not later than (<=) Day 18. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Naples, Istanbul, Riga, Prague, Geneva, Santorini].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Oslo, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Oslo from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n             |- Check for direct flight from Santorini to Oslo.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 18 - 19).\n             |- The departure day of Oslo is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Naples, Istanbul, Riga, Prague, Geneva, Santorini, Oslo].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n               |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n               |- Check for direct flight from Oslo to Tallinn.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Venice (Day 23 - 26).\n               |- The departure day of Tallinn is Day 19. The arrival day of Venice is Day 23. Day 19 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Naples, Istanbul, Riga, Prague, Geneva, Santorini, Oslo, Tallinn].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Frankfurt] and explore these options in order.\n                 |- Try arranging to visit Frankfurt from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Tallinn to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Venice (Day 23 - 26).\n                 |- The departure day of Frankfurt is Day 23. The arrival day of Venice is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Naples, Istanbul, Riga, Prague, Geneva, Santorini, Oslo, Tallinn, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Venice.\n                   |- Try arranging to visit Venice from Day 23. Duration: 4 days. Schedule: Day 23 - 26.\n                   |- Check for direct flight from Frankfurt to Venice.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Naples, Istanbul, Riga, Prague, Geneva, Santorini, Oslo, Tallinn, Frankfurt, Venice].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Naples and visit Naples for 2 days.\n**Day 2:** Fly from Naples to Istanbul.\n**Day 2-4:** Visit Istanbul for 3 days.\n**Day 4:** Fly from Istanbul to Riga.\n**Day 4-6:** Visit Riga for 3 days.\n**Day 6:** Fly from Riga to Prague.\n**Day 6-8:** Visit Prague for 3 days.\n**Day 8:** Fly from Prague to Geneva.\n**Day 8-11:** Visit Geneva for 4 days.\n**Day 11:** Fly from Geneva to Santorini.\n**Day 11-15:** Visit Santorini for 5 days.\n**Day 15:** Fly from Santorini to Oslo.\n**Day 15-18:** Visit Oslo for 4 days.\n**Day 18:** Fly from Oslo to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n**Day 19:** Fly from Tallinn to Frankfurt.\n**Day 19-23:** Visit Frankfurt for 5 days.\n**Day 23:** Fly from Frankfurt to Venice.\n**Day 23-26:** Visit Venice for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Stockholm**London**Florence**Paris**Vilnius**Milan**Seville**Valencia**Rome**Dubrovnik",
    "ground_truth_durations": "5**4**2**3**3**5**3**3**3**3",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 8,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Seville",
        "start_day": 17,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 11,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Dubrovnik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Rome",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Rome",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "London",
        "start_day": 5,
        "end_day": 8
      }
    ],
    "connected_cities": [
      [
        "Paris",
        "Vilnius"
      ],
      [
        "Paris",
        "Seville"
      ],
      [
        "Stockholm",
        "Dubrovnik"
      ],
      [
        "Vilnius",
        "Milan"
      ],
      [
        "Stockholm",
        "Milan"
      ],
      [
        "Rome",
        "Dubrovnik"
      ],
      [
        "Paris",
        "Milan"
      ],
      [
        "London",
        "Valencia"
      ],
      [
        "London",
        "Rome"
      ],
      [
        "Florence",
        "Paris"
      ],
      [
        "London",
        "Milan"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "London",
        "Paris"
      ],
      [
        "Seville",
        "Rome"
      ],
      [
        "Seville",
        "Valencia"
      ],
      [
        "Paris",
        "Rome"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "Valencia",
        "Rome"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Stockholm",
        "Paris"
      ],
      [
        "Stockholm",
        "Rome"
      ],
      [
        "Paris",
        "Valencia"
      ],
      [
        "Stockholm",
        "London"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 2 days. You are going to attend a wedding in Florence between day 8 and day 9. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 17 and day 19. You want to spend 3 days in Paris. You want to spend 5 days in Milan. You would like to visit Stockholm for 5 days. You would like to visit Vilnius for 3 days. During day 11 and day 13, you have to attend a conference in Vilnius. You want to spend 3 days in Valencia. You would like to visit Dubrovnik for 3 days. You plan to stay in Rome for 3 days. You have to attend a workshop in Rome between day 21 and day 23. You would like to visit London for 4 days. You would like to meet your friends at London between day 5 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nParis and Vilnius, Paris and Seville, Stockholm and Dubrovnik, Vilnius and Milan, Stockholm and Milan, Rome and Dubrovnik, Paris and Milan, London and Valencia, London and Rome, Florence and Paris, London and Milan, Milan and Seville, London and Paris, Seville and Rome, Seville and Valencia, Paris and Rome, London and Florence, Valencia and Rome, Milan and Valencia, Stockholm and Paris, Stockholm and Rome, Paris and Valencia, Stockholm and London.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You would like to visit Florence for 2 days. You are going to attend a wedding in Florence between day 8 and day 9. You would like to visit Seville for 3 days. You plan to visit relatives in Seville between day 17 and day 19. You want to spend 3 days in Paris. You want to spend 5 days in Milan. You would like to visit Stockholm for 5 days. You would like to visit Vilnius for 3 days. During day 11 and day 13, you have to attend a conference in Vilnius. You want to spend 3 days in Valencia. You would like to visit Dubrovnik for 3 days. You plan to stay in Rome for 3 days. You have to attend a workshop in Rome between day 21 and day 23. You would like to visit London for 4 days. You would like to meet your friends at London between day 5 and day 8 to tour together.\n\nHere are the cities that have direct flights:\nfrom Paris to Vilnius, from Paris to Seville, from Stockholm to Dubrovnik, from Vilnius to Milan, from Stockholm to Milan, from Rome to Dubrovnik, from Paris to Milan, from London to Valencia, from London to Rome, from Florence to Paris, from London to Milan, from Milan to Seville, from London to Paris, from Seville to Rome, from Seville to Valencia, from Paris to Rome, from London to Florence, from Valencia to Rome, from Milan to Valencia, from Stockholm to Paris, from Stockholm to Rome, from Paris to Valencia, from Stockholm to London.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Seville.\n**Day 17-19:** Visit Seville for 3 days.\n**Day 19:** Fly from Seville to Valencia.\n**Day 19-21:** Visit Valencia for 3 days.\n**Day 21:** Fly from Valencia to Rome.\n**Day 21-23:** Visit Rome for 3 days.\n**Day 23:** Fly from Rome to Dubrovnik.\n**Day 23-25:** Visit Dubrovnik for 3 days.",
    "id": "trip_planning_example_1589",
    "estimated_output_tokens": 3458,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 8 - 9.\n* City: Seville, Duration: 3 days, Fixed Schedule: Day 17 - 19.\n* City: Paris, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Vilnius, Duration: 3 days, Fixed Schedule: Day 11 - 13.\n* City: Valencia, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n* City: Rome, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: London, Duration: 4 days, Fixed Schedule: Day 5 - 8.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: London, Fixed Schedule: Day 5 - 8.\n* City: Florence, Fixed Schedule: Day 8 - 9.\n* City: Vilnius, Fixed Schedule: Day 11 - 13.\n* City: Seville, Fixed Schedule: Day 17 - 19.\n* City: Rome, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Paris, Duration: 3 days.\n* City: Milan, Duration: 5 days.\n* City: Stockholm, Duration: 5 days.\n* City: Valencia, Duration: 3 days.\n* City: Dubrovnik, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Paris, Milan, Stockholm, Valencia, Dubrovnik] and explore these options in order.\n |- Try arranging to visit Paris from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Paris.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Paris is Day 3. The arrival day of London is Day 5. Day 3 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Paris].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Milan, Stockholm, Valencia, Dubrovnik] and explore these options in order.\n   |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Paris to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 5 - 8).\n   |- The departure day of Milan is Day 7. The arrival day of London is Day 5. Day 7 is later than (>) Day 5. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Paris to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Paris to Valencia.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: London (Day 5 - 8).\n   |- The departure day of Valencia is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Paris, Valencia].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n     |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Valencia to London.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Dubrovnik from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Paris to Dubrovnik.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Milan is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Milan to London.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: London (Day 5 - 8).\n |- The departure day of Stockholm is Day 5. The arrival day of London is Day 5. Day 5 is not later than (<=) Day 5. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- Yes. The city with an arrival day of Day 5 - is fixed: London.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Stockholm to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Florence (Day 8 - 9).\n   |- The departure day of London is Day 8. The arrival day of Florence is Day 8. Day 8 is not later than (<=) Day 8. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Stockholm, London].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- Yes. The city with an arrival day of Day 8 - is fixed: Florence.\n     |- Try arranging to visit Florence from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from London to Florence.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Vilnius (Day 11 - 13).\n     |- The departure day of Florence is Day 9. The arrival day of Vilnius is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Stockholm, London, Florence].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Paris, Milan, Valencia, Dubrovnik] and explore these options in order.\n       |- Try arranging to visit Paris from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Florence to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Vilnius (Day 11 - 13).\n       |- The departure day of Paris is Day 11. The arrival day of Vilnius is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 11. Current plan: [Stockholm, London, Florence, Paris].\n        |- Check whether the city with an arrival day of Day 11 - is fixed.\n        |- Yes. The city with an arrival day of Day 11 - is fixed: Vilnius.\n         |- Try arranging to visit Vilnius from Day 11. Duration: 3 days. Schedule: Day 11 - 13.\n         |- Check for direct flight from Paris to Vilnius.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Seville (Day 17 - 19).\n         |- The departure day of Vilnius is Day 13. The arrival day of Seville is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Stockholm, London, Florence, Paris, Vilnius].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Milan, Valencia, Dubrovnik] and explore these options in order.\n           |- Try arranging to visit Milan from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n           |- Check for direct flight from Vilnius to Milan.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Seville (Day 17 - 19).\n           |- The departure day of Milan is Day 17. The arrival day of Seville is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Stockholm, London, Florence, Paris, Vilnius, Milan].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- Yes. The city with an arrival day of Day 17 - is fixed: Seville.\n             |- Try arranging to visit Seville from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n             |- Check for direct flight from Milan to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Rome (Day 21 - 23).\n             |- The departure day of Seville is Day 19. The arrival day of Rome is Day 21. Day 19 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Stockholm, London, Florence, Paris, Vilnius, Milan, Seville].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Valencia, Dubrovnik] and explore these options in order.\n               |- Try arranging to visit Valencia from Day 19. Duration: 3 days. Schedule: Day 19 - 21.\n               |- Check for direct flight from Seville to Valencia.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Rome (Day 21 - 23).\n               |- The departure day of Valencia is Day 21. The arrival day of Rome is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 21. Current plan: [Stockholm, London, Florence, Paris, Vilnius, Milan, Seville, Valencia].\n                |- Check whether the city with an arrival day of Day 21 - is fixed.\n                |- Yes. The city with an arrival day of Day 21 - is fixed: Rome.\n                 |- Try arranging to visit Rome from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n                 |- Check for direct flight from Valencia to Rome.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Stockholm, London, Florence, Paris, Vilnius, Milan, Seville, Valencia, Rome].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Dubrovnik] and explore these options in order.\n                   |- Try arranging to visit Dubrovnik from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                   |- Check for direct flight from Rome to Dubrovnik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Stockholm, London, Florence, Paris, Vilnius, Milan, Seville, Valencia, Rome, Dubrovnik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Stockholm and visit Stockholm for 5 days.\n**Day 5:** Fly from Stockholm to London.\n**Day 5-8:** Visit London for 4 days.\n**Day 8:** Fly from London to Florence.\n**Day 8-9:** Visit Florence for 2 days.\n**Day 9:** Fly from Florence to Paris.\n**Day 9-11:** Visit Paris for 3 days.\n**Day 11:** Fly from Paris to Vilnius.\n**Day 11-13:** Visit Vilnius for 3 days.\n**Day 13:** Fly from Vilnius to Milan.\n**Day 13-17:** Visit Milan for 5 days.\n**Day 17:** Fly from Milan to Seville.\n**Day 17-19:** Visit Seville for 3 days.\n**Day 19:** Fly from Seville to Valencia.\n**Day 19-21:** Visit Valencia for 3 days.\n**Day 21:** Fly from Valencia to Rome.\n**Day 21-23:** Visit Rome for 3 days.\n**Day 23:** Fly from Rome to Dubrovnik.\n**Day 23-25:** Visit Dubrovnik for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Milan**Reykjavik**Athens**Riga**Tallinn**Barcelona**Seville**Porto**Copenhagen**Split",
    "ground_truth_durations": "3**4**3**5**3**2**2**4**5**3",
    "num_cities": 10,
    "total_days": 25,
    "constraints": [
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Seville",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 3,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Athens"
      ],
      [
        "Milan",
        "Reykjavik"
      ],
      [
        "Barcelona",
        "Porto"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Milan",
        "Copenhagen"
      ],
      [
        "Riga",
        "Copenhagen"
      ],
      [
        "Riga",
        "Barcelona"
      ],
      [
        "Milan",
        "Barcelona"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Reykjavik",
        "Barcelona"
      ],
      [
        "Milan",
        "Porto"
      ],
      [
        "Milan",
        "Riga"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Barcelona",
        "Seville"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "Milan",
        "Split"
      ],
      [
        "Porto",
        "Copenhagen"
      ],
      [
        "Milan",
        "Seville"
      ],
      [
        "Seville",
        "Porto"
      ],
      [
        "Tallinn",
        "Copenhagen"
      ],
      [
        "Barcelona",
        "Copenhagen"
      ],
      [
        "Athens",
        "Copenhagen"
      ],
      [
        "Athens",
        "Barcelona"
      ],
      [
        "Athens",
        "Riga"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Tallinn",
        "Barcelona"
      ],
      [
        "Riga",
        "Tallinn"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Athens. You would like to visit Tallinn for 3 days. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 19 and day 23. You want to spend 5 days in Riga. You plan to stay in Seville for 2 days. You plan to stay in Barcelona for 2 days. You would like to visit Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 3 and day 6. You plan to stay in Milan for 3 days. From day 1 to day 3, there is a annual show you want to attend in Milan. You would like to visit Split for 3 days. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nMilan and Athens, Milan and Reykjavik, Barcelona and Porto, from Reykjavik to Athens, Milan and Copenhagen, Riga and Copenhagen, Riga and Barcelona, Milan and Barcelona, Reykjavik and Copenhagen, Reykjavik and Barcelona, Milan and Porto, Milan and Riga, Athens and Split, Barcelona and Seville, Barcelona and Split, Milan and Split, Porto and Copenhagen, Milan and Seville, Seville and Porto, Tallinn and Copenhagen, Barcelona and Copenhagen, Athens and Copenhagen, Athens and Barcelona, from Athens to Riga, Copenhagen and Split, Tallinn and Barcelona, from Riga to Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 25 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Athens. You would like to visit Tallinn for 3 days. You would like to visit Copenhagen for 5 days. You have to attend a workshop in Copenhagen between day 19 and day 23. You want to spend 5 days in Riga. You plan to stay in Seville for 2 days. You plan to stay in Barcelona for 2 days. You would like to visit Reykjavik for 4 days. You plan to visit relatives in Reykjavik between day 3 and day 6. You plan to stay in Milan for 3 days. From day 1 to day 3, there is a annual show you want to attend in Milan. You would like to visit Split for 3 days. You would like to visit Porto for 4 days.\n\nHere are the cities that have direct flights:\nfrom Milan to Athens, from Milan to Reykjavik, from Barcelona to Porto, from Reykjavik to Athens, from Milan to Copenhagen, from Riga to Copenhagen, from Riga to Barcelona, from Milan to Barcelona, from Reykjavik to Copenhagen, from Reykjavik to Barcelona, from Milan to Porto, from Milan to Riga, from Athens to Split, from Barcelona to Seville, from Barcelona to Split, from Milan to Split, from Porto to Copenhagen, from Milan to Seville, from Seville to Porto, from Tallinn to Copenhagen, from Barcelona to Copenhagen, from Athens to Copenhagen, from Athens to Barcelona, from Athens to Riga, from Copenhagen to Split, from Tallinn to Barcelona, from Riga to Tallinn.\n\nFind a trip plan of visiting the cities for 25 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 25 days:\n\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Riga.\n**Day 8-12:** Visit Riga for 5 days.\n**Day 12:** Fly from Riga to Tallinn.\n**Day 12-14:** Visit Tallinn for 3 days.\n**Day 14:** Fly from Tallinn to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Porto.\n**Day 16-19:** Visit Porto for 4 days.\n**Day 19:** Fly from Porto to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Split.\n**Day 23-25:** Visit Split for 3 days.",
    "id": "trip_planning_example_1590",
    "estimated_output_tokens": 2730,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Athens, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Copenhagen, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Riga, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 3 - 6.\n* City: Milan, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 1 - 3.\n* City: Reykjavik, Fixed Schedule: Day 3 - 6.\n* City: Copenhagen, Fixed Schedule: Day 19 - 23.\n\nCities needing arrangement:\n* City: Athens, Duration: 3 days.\n* City: Tallinn, Duration: 3 days.\n* City: Riga, Duration: 5 days.\n* City: Seville, Duration: 2 days.\n* City: Barcelona, Duration: 2 days.\n* City: Split, Duration: 3 days.\n* City: Porto, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Milan.\n |- Try arranging to visit Milan from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Reykjavik (Day 3 - 6).\n |- The departure day of Milan is Day 3. The arrival day of Reykjavik is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Reykjavik.\n   |- Try arranging to visit Reykjavik from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Milan to Reykjavik.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Copenhagen (Day 19 - 23).\n   |- The departure day of Reykjavik is Day 6. The arrival day of Copenhagen is Day 19. Day 6 is not later than (<=) Day 19. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Milan, Reykjavik].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Athens, Tallinn, Riga, Seville, Barcelona, Split, Porto] and explore these options in order.\n     |- Try arranging to visit Athens from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Reykjavik to Athens.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Copenhagen (Day 19 - 23).\n     |- The departure day of Athens is Day 8. The arrival day of Copenhagen is Day 19. Day 8 is not later than (<=) Day 19. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Milan, Reykjavik, Athens].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Tallinn, Riga, Seville, Barcelona, Split, Porto] and explore these options in order.\n       |- Try arranging to visit Tallinn from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Athens to Tallinn.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n       |- Check for direct flight from Athens to Riga.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Copenhagen (Day 19 - 23).\n       |- The departure day of Riga is Day 12. The arrival day of Copenhagen is Day 19. Day 12 is not later than (<=) Day 19. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Milan, Reykjavik, Athens, Riga].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Tallinn, Seville, Barcelona, Split, Porto] and explore these options in order.\n         |- Try arranging to visit Tallinn from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n         |- Check for direct flight from Riga to Tallinn.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Copenhagen (Day 19 - 23).\n         |- The departure day of Tallinn is Day 14. The arrival day of Copenhagen is Day 19. Day 14 is not later than (<=) Day 19. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 14. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn].\n          |- Check whether the city with an arrival day of Day 14 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Seville, Barcelona, Split, Porto] and explore these options in order.\n           |- Try arranging to visit Seville from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Tallinn to Seville.\n           |- No. Drop this branch.\n           |- Try arranging to visit Barcelona from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n           |- Check for direct flight from Tallinn to Barcelona.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Copenhagen (Day 19 - 23).\n           |- The departure day of Barcelona is Day 15. The arrival day of Copenhagen is Day 19. Day 15 is not later than (<=) Day 19. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn, Barcelona].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Seville, Split, Porto] and explore these options in order.\n             |- Try arranging to visit Seville from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Barcelona to Seville.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Copenhagen (Day 19 - 23).\n             |- The departure day of Seville is Day 16. The arrival day of Copenhagen is Day 19. Day 16 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn, Barcelona, Seville].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Porto] and explore these options in order.\n               |- Try arranging to visit Split from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n               |- Check for direct flight from Seville to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Porto from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Seville to Porto.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Copenhagen (Day 19 - 23).\n               |- The departure day of Porto is Day 19. The arrival day of Copenhagen is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn, Barcelona, Seville, Porto].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Copenhagen.\n                 |- Try arranging to visit Copenhagen from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n                 |- Check for direct flight from Porto to Copenhagen.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn, Barcelona, Seville, Porto, Copenhagen].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                   |- Try arranging to visit Split from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n                   |- Check for direct flight from Copenhagen to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 25. Current plan: [Milan, Reykjavik, Athens, Riga, Tallinn, Barcelona, Seville, Porto, Copenhagen, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Milan and visit Milan for 3 days.\n**Day 3:** Fly from Milan to Reykjavik.\n**Day 3-6:** Visit Reykjavik for 4 days.\n**Day 6:** Fly from Reykjavik to Athens.\n**Day 6-8:** Visit Athens for 3 days.\n**Day 8:** Fly from Athens to Riga.\n**Day 8-12:** Visit Riga for 5 days.\n**Day 12:** Fly from Riga to Tallinn.\n**Day 12-14:** Visit Tallinn for 3 days.\n**Day 14:** Fly from Tallinn to Barcelona.\n**Day 14-15:** Visit Barcelona for 2 days.\n**Day 15:** Fly from Barcelona to Seville.\n**Day 15-16:** Visit Seville for 2 days.\n**Day 16:** Fly from Seville to Porto.\n**Day 16-19:** Visit Porto for 4 days.\n**Day 19:** Fly from Porto to Copenhagen.\n**Day 19-23:** Visit Copenhagen for 5 days.\n**Day 23:** Fly from Copenhagen to Split.\n**Day 23-25:** Visit Split for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Budapest**Copenhagen**Valencia**Stuttgart**Split**Lyon**Bucharest**Santorini**Zurich**Mykonos",
    "ground_truth_durations": "5**3**5**5**4**4**3**5**3**2",
    "num_cities": 10,
    "total_days": 30,
    "constraints": [
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 21,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 15,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 11
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Stuttgart"
      ],
      [
        "Stuttgart",
        "Split"
      ],
      [
        "Copenhagen",
        "Santorini"
      ],
      [
        "Bucharest",
        "Zurich"
      ],
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Zurich",
        "Mykonos"
      ],
      [
        "Copenhagen",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Bucharest"
      ],
      [
        "Santorini",
        "Zurich"
      ],
      [
        "Copenhagen",
        "Stuttgart"
      ],
      [
        "Budapest",
        "Copenhagen"
      ],
      [
        "Valencia",
        "Lyon"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Budapest",
        "Zurich"
      ],
      [
        "Split",
        "Lyon"
      ],
      [
        "Copenhagen",
        "Split"
      ],
      [
        "Valencia",
        "Zurich"
      ],
      [
        "Lyon",
        "Bucharest"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Copenhagen",
        "Valencia"
      ],
      [
        "Budapest",
        "Mykonos"
      ],
      [
        "Split",
        "Zurich"
      ],
      [
        "Budapest",
        "Stuttgart"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 3 days. You want to spend 5 days in Budapest. You would like to meet your friends at Budapest between day 1 and day 5 to tour together. You plan to stay in Santorini for 5 days. You want to spend 5 days in Stuttgart. You want to meet a friend in Stuttgart between day 11 and day 15. You want to spend 4 days in Lyon. You plan to stay in Mykonos for 2 days. You plan to stay in Copenhagen for 3 days. You would like to visit Bucharest for 3 days. You have to attend a workshop in Bucharest between day 21 and day 23. You plan to stay in Split for 4 days. From day 15 to day 18, there is a annual show you want to attend in Split. You want to spend 5 days in Valencia. During day 7 and day 11, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nValencia and Stuttgart, Stuttgart and Split, Copenhagen and Santorini, Bucharest and Zurich, Valencia and Bucharest, Zurich and Mykonos, Copenhagen and Zurich, Copenhagen and Bucharest, Santorini and Zurich, Copenhagen and Stuttgart, Budapest and Copenhagen, Valencia and Lyon, Bucharest and Santorini, Budapest and Zurich, Split and Lyon, Copenhagen and Split, Valencia and Zurich, Lyon and Bucharest, Budapest and Bucharest, Copenhagen and Valencia, Budapest and Mykonos, Split and Zurich, Budapest and Stuttgart.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 30 days in total. You only take direct flights to commute between cities. You plan to stay in Zurich for 3 days. You want to spend 5 days in Budapest. You would like to meet your friends at Budapest between day 1 and day 5 to tour together. You plan to stay in Santorini for 5 days. You want to spend 5 days in Stuttgart. You want to meet a friend in Stuttgart between day 11 and day 15. You want to spend 4 days in Lyon. You plan to stay in Mykonos for 2 days. You plan to stay in Copenhagen for 3 days. You would like to visit Bucharest for 3 days. You have to attend a workshop in Bucharest between day 21 and day 23. You plan to stay in Split for 4 days. From day 15 to day 18, there is a annual show you want to attend in Split. You want to spend 5 days in Valencia. During day 7 and day 11, you have to attend a conference in Valencia.\n\nHere are the cities that have direct flights:\nfrom Valencia to Stuttgart, from Stuttgart to Split, from Copenhagen to Santorini, from Bucharest to Zurich, from Valencia to Bucharest, from Zurich to Mykonos, from Copenhagen to Zurich, from Copenhagen to Bucharest, from Santorini to Zurich, from Copenhagen to Stuttgart, from Budapest to Copenhagen, from Valencia to Lyon, from Bucharest to Santorini, from Budapest to Zurich, from Split to Lyon, from Copenhagen to Split, from Valencia to Zurich, from Lyon to Bucharest, from Budapest to Bucharest, from Copenhagen to Valencia, from Budapest to Mykonos, from Split to Zurich, from Budapest to Stuttgart.\n\nFind a trip plan of visiting the cities for 30 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 30 days:\n\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-21:** Visit Lyon for 4 days.\n**Day 21:** Fly from Lyon to Bucharest.\n**Day 21-23:** Visit Bucharest for 3 days.\n**Day 23:** Fly from Bucharest to Santorini.\n**Day 23-27:** Visit Santorini for 5 days.\n**Day 27:** Fly from Santorini to Zurich.\n**Day 27-29:** Visit Zurich for 3 days.\n**Day 29:** Fly from Zurich to Mykonos.\n**Day 29-30:** Visit Mykonos for 2 days.",
    "id": "trip_planning_example_1591",
    "estimated_output_tokens": 4379,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Zurich, Duration: 3 days.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Santorini, Duration: 5 days.\n* City: Stuttgart, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Lyon, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n* City: Bucharest, Duration: 3 days, Fixed Schedule: Day 21 - 23.\n* City: Split, Duration: 4 days, Fixed Schedule: Day 15 - 18.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Budapest, Fixed Schedule: Day 1 - 5.\n* City: Valencia, Fixed Schedule: Day 7 - 11.\n* City: Stuttgart, Fixed Schedule: Day 11 - 15.\n* City: Split, Fixed Schedule: Day 15 - 18.\n* City: Bucharest, Fixed Schedule: Day 21 - 23.\n\nCities needing arrangement:\n* City: Zurich, Duration: 3 days.\n* City: Santorini, Duration: 5 days.\n* City: Lyon, Duration: 4 days.\n* City: Mykonos, Duration: 2 days.\n* City: Copenhagen, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Budapest.\n |- Try arranging to visit Budapest from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Budapest.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Valencia (Day 7 - 11).\n |- The departure day of Budapest is Day 5. The arrival day of Valencia is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Budapest].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini, Lyon, Mykonos, Copenhagen] and explore these options in order.\n   |- Try arranging to visit Zurich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Zurich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n   |- The departure day of Zurich is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Zurich].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Zurich to Valencia.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Budapest to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Budapest to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Budapest to Mykonos.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n   |- The departure day of Mykonos is Day 6. The arrival day of Valencia is Day 7. Day 6 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Budapest, Mykonos].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini, Lyon, Copenhagen] and explore these options in order.\n     |- Try arranging to visit Zurich from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Zurich.\n     |- No. Drop this branch.\n     |- Try arranging to visit Santorini from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Mykonos to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Mykonos to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Copenhagen from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n     |- Check for direct flight from Mykonos to Copenhagen.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Copenhagen from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Budapest to Copenhagen.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Valencia (Day 7 - 11).\n   |- The departure day of Copenhagen is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Budapest, Copenhagen].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Copenhagen to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Stuttgart (Day 11 - 15).\n     |- The departure day of Valencia is Day 11. The arrival day of Stuttgart is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Budapest, Copenhagen, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- Yes. The city with an arrival day of Day 11 - is fixed: Stuttgart.\n       |- Try arranging to visit Stuttgart from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Stuttgart.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Split (Day 15 - 18).\n       |- The departure day of Stuttgart is Day 15. The arrival day of Split is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Split.\n         |- Try arranging to visit Split from Day 15. Duration: 4 days. Schedule: Day 15 - 18.\n         |- Check for direct flight from Stuttgart to Split.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Bucharest (Day 21 - 23).\n         |- The departure day of Split is Day 18. The arrival day of Bucharest is Day 21. Day 18 is not later than (<=) Day 21. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini, Lyon, Mykonos] and explore these options in order.\n           |- Try arranging to visit Zurich from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Split to Zurich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 21 - 23).\n           |- The departure day of Zurich is Day 20. The arrival day of Bucharest is Day 21. Day 20 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Zurich].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Santorini, Lyon, Mykonos] and explore these options in order.\n             |- Try arranging to visit Santorini from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n             |- Check for direct flight from Zurich to Santorini.\n             |- No. Drop this branch.\n             |- Try arranging to visit Lyon from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n             |- Check for direct flight from Zurich to Lyon.\n             |- No. Drop this branch.\n             |- Try arranging to visit Mykonos from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Zurich to Mykonos.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Bucharest (Day 21 - 23).\n             |- The departure day of Mykonos is Day 21. The arrival day of Bucharest is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Zurich, Mykonos].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- Yes. The city with an arrival day of Day 21 - is fixed: Bucharest.\n               |- Try arranging to visit Bucharest from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n               |- Check for direct flight from Mykonos to Bucharest.\n               |- No. Drop this branch.\n               |- Fail to arrange any option on day 21 in the current arrangement. Drop this branch.\n             |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Santorini from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n           |- Check for direct flight from Split to Santorini.\n           |- No. Drop this branch.\n           |- Try arranging to visit Lyon from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n           |- Check for direct flight from Split to Lyon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Bucharest (Day 21 - 23).\n           |- The departure day of Lyon is Day 21. The arrival day of Bucharest is Day 21. Day 21 is not later than (<=) Day 21. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 21. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon].\n            |- Check whether the city with an arrival day of Day 21 - is fixed.\n            |- Yes. The city with an arrival day of Day 21 - is fixed: Bucharest.\n             |- Try arranging to visit Bucharest from Day 21. Duration: 3 days. Schedule: Day 21 - 23.\n             |- Check for direct flight from Lyon to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 23. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest].\n              |- Check whether the city with an arrival day of Day 23 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Zurich, Santorini, Mykonos] and explore these options in order.\n               |- Try arranging to visit Zurich from Day 23. Duration: 3 days. Schedule: Day 23 - 25.\n               |- Check for direct flight from Bucharest to Zurich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest, Zurich].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Santorini, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Santorini from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Zurich to Santorini.\n                 |- No. Drop this branch.\n                 |- Try arranging to visit Mykonos from Day 25. Duration: 2 days. Schedule: Day 25 - 26.\n                 |- Check for direct flight from Zurich to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 26. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest, Zurich, Mykonos].\n                  |- Check whether the city with an arrival day of Day 26 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Santorini] and explore these options in order.\n                   |- Try arranging to visit Santorini from Day 26. Duration: 5 days. Schedule: Day 26 - 30.\n                   |- Check for direct flight from Mykonos to Santorini.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 26 in the current arrangement. Drop this branch.\n                 |- Fail to arrange any option on day 25 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Santorini from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n               |- Check for direct flight from Bucharest to Santorini.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 27. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest, Santorini].\n                |- Check whether the city with an arrival day of Day 27 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Zurich, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Zurich from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                 |- Check for direct flight from Santorini to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest, Santorini, Zurich].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 29. Duration: 2 days. Schedule: Day 29 - 30.\n                   |- Check for direct flight from Zurich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 30. Current plan: [Budapest, Copenhagen, Valencia, Stuttgart, Split, Lyon, Bucharest, Santorini, Zurich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Budapest and visit Budapest for 5 days.\n**Day 5:** Fly from Budapest to Copenhagen.\n**Day 5-7:** Visit Copenhagen for 3 days.\n**Day 7:** Fly from Copenhagen to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Stuttgart.\n**Day 11-15:** Visit Stuttgart for 5 days.\n**Day 15:** Fly from Stuttgart to Split.\n**Day 15-18:** Visit Split for 4 days.\n**Day 18:** Fly from Split to Lyon.\n**Day 18-21:** Visit Lyon for 4 days.\n**Day 21:** Fly from Lyon to Bucharest.\n**Day 21-23:** Visit Bucharest for 3 days.\n**Day 23:** Fly from Bucharest to Santorini.\n**Day 23-27:** Visit Santorini for 5 days.\n**Day 27:** Fly from Santorini to Zurich.\n**Day 27-29:** Visit Zurich for 3 days.\n**Day 29:** Fly from Zurich to Mykonos.\n**Day 29-30:** Visit Mykonos for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Santorini**London**Prague**Florence**Barcelona**Amsterdam**Vilnius**Oslo**Hamburg**Split",
    "ground_truth_durations": "3**4**4**4**4**2**4**5**5**2",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Oslo",
        "start_day": 19,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Vilnius",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Prague",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Barcelona",
        "start_day": 12,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Split",
        "start_day": 27,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "London",
        "Split"
      ],
      [
        "Prague",
        "Florence"
      ],
      [
        "Prague",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Split"
      ],
      [
        "Vilnius",
        "Oslo"
      ],
      [
        "Prague",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Florence",
        "Barcelona"
      ],
      [
        "Barcelona",
        "Hamburg"
      ],
      [
        "Oslo",
        "Split"
      ],
      [
        "London",
        "Barcelona"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Hamburg",
        "Split"
      ],
      [
        "Barcelona",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Hamburg"
      ],
      [
        "London",
        "Hamburg"
      ],
      [
        "London",
        "Florence"
      ],
      [
        "London",
        "Oslo"
      ],
      [
        "Vilnius",
        "Split"
      ],
      [
        "Prague",
        "Barcelona"
      ],
      [
        "Santorini",
        "Oslo"
      ],
      [
        "London",
        "Amsterdam"
      ],
      [
        "Amsterdam",
        "Oslo"
      ],
      [
        "Amsterdam",
        "Hamburg"
      ],
      [
        "Amsterdam",
        "Vilnius"
      ],
      [
        "Barcelona",
        "Oslo"
      ],
      [
        "Barcelona",
        "Split"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Santorini",
        "London"
      ],
      [
        "Florence",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Barcelona"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 5 days. From day 19 to day 23, there is a annual show you want to attend in Oslo. You want to spend 4 days in Vilnius. You plan to visit relatives in Vilnius between day 16 and day 19. You plan to stay in London for 4 days. You plan to stay in Hamburg for 5 days. You plan to stay in Amsterdam for 2 days. You want to spend 4 days in Prague. During day 6 and day 9, you have to attend a conference in Prague. You plan to stay in Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 12 and day 15. You want to spend 2 days in Split. You have to attend a workshop in Split between day 27 and day 28. You plan to stay in Santorini for 3 days. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nLondon and Split, Prague and Florence, Prague and Oslo, Amsterdam and Split, Vilnius and Oslo, Prague and Amsterdam, Santorini and Amsterdam, Florence and Barcelona, Barcelona and Hamburg, Oslo and Split, London and Barcelona, Prague and Split, Hamburg and Split, Barcelona and Amsterdam, Oslo and Hamburg, London and Hamburg, London and Florence, London and Oslo, Vilnius and Split, Prague and Barcelona, from Santorini to Oslo, London and Amsterdam, Amsterdam and Oslo, Amsterdam and Hamburg, Amsterdam and Vilnius, Barcelona and Oslo, Barcelona and Split, London and Prague, Santorini and London, Florence and Amsterdam, Santorini and Barcelona.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You would like to visit Oslo for 5 days. From day 19 to day 23, there is a annual show you want to attend in Oslo. You want to spend 4 days in Vilnius. You plan to visit relatives in Vilnius between day 16 and day 19. You plan to stay in London for 4 days. You plan to stay in Hamburg for 5 days. You plan to stay in Amsterdam for 2 days. You want to spend 4 days in Prague. During day 6 and day 9, you have to attend a conference in Prague. You plan to stay in Barcelona for 4 days. You are going to attend a wedding in Barcelona between day 12 and day 15. You want to spend 2 days in Split. You have to attend a workshop in Split between day 27 and day 28. You plan to stay in Santorini for 3 days. You plan to stay in Florence for 4 days.\n\nHere are the cities that have direct flights:\nfrom London to Split, from Prague to Florence, from Prague to Oslo, from Amsterdam to Split, from Vilnius to Oslo, from Prague to Amsterdam, from Santorini to Amsterdam, from Florence to Barcelona, from Barcelona to Hamburg, from Oslo to Split, from London to Barcelona, from Prague to Split, from Hamburg to Split, from Barcelona to Amsterdam, from Oslo to Hamburg, from London to Hamburg, from London to Florence, from London to Oslo, from Vilnius to Split, from Prague to Barcelona, from Santorini to Oslo, from London to Amsterdam, from Amsterdam to Oslo, from Amsterdam to Hamburg, from Amsterdam to Vilnius, from Barcelona to Oslo, from Barcelona to Split, from London to Prague, from Santorini to London, from Florence to Amsterdam, from Santorini to Barcelona.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to London.\n**Day 3-6:** Visit London for 4 days.\n**Day 6:** Fly from London to Prague.\n**Day 6-9:** Visit Prague for 4 days.\n**Day 9:** Fly from Prague to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Barcelona.\n**Day 12-15:** Visit Barcelona for 4 days.\n**Day 15:** Fly from Barcelona to Amsterdam.\n**Day 15-16:** Visit Amsterdam for 2 days.\n**Day 16:** Fly from Amsterdam to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.\n**Day 19:** Fly from Vilnius to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.\n**Day 23:** Fly from Oslo to Hamburg.\n**Day 23-27:** Visit Hamburg for 5 days.\n**Day 27:** Fly from Hamburg to Split.\n**Day 27-28:** Visit Split for 2 days.",
    "id": "trip_planning_example_1592",
    "estimated_output_tokens": 4999,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Oslo, Duration: 5 days, Fixed Schedule: Day 19 - 23.\n* City: Vilnius, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: London, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Prague, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Barcelona, Duration: 4 days, Fixed Schedule: Day 12 - 15.\n* City: Split, Duration: 2 days, Fixed Schedule: Day 27 - 28.\n* City: Santorini, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Prague, Fixed Schedule: Day 6 - 9.\n* City: Barcelona, Fixed Schedule: Day 12 - 15.\n* City: Vilnius, Fixed Schedule: Day 16 - 19.\n* City: Oslo, Fixed Schedule: Day 19 - 23.\n* City: Split, Fixed Schedule: Day 27 - 28.\n\nCities needing arrangement:\n* City: London, Duration: 4 days.\n* City: Hamburg, Duration: 5 days.\n* City: Amsterdam, Duration: 2 days.\n* City: Santorini, Duration: 3 days.\n* City: Florence, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [London, Hamburg, Amsterdam, Santorini, Florence] and explore these options in order.\n |- Try arranging to visit London from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to London.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 9).\n |- The departure day of London is Day 4. The arrival day of Prague is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [London].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Hamburg, Amsterdam, Santorini, Florence] and explore these options in order.\n   |- Try arranging to visit Hamburg from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from London to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 9).\n   |- The departure day of Hamburg is Day 8. The arrival day of Prague is Day 6. Day 8 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from London to Amsterdam.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 9).\n   |- The departure day of Amsterdam is Day 5. The arrival day of Prague is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [London, Amsterdam].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Hamburg, Santorini, Florence] and explore these options in order.\n     |- Try arranging to visit Hamburg from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Amsterdam to Hamburg.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Prague (Day 6 - 9).\n     |- The departure day of Hamburg is Day 9. The arrival day of Prague is Day 6. Day 9 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Amsterdam to Santorini.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Amsterdam to Florence.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from London to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from London to Florence.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Prague (Day 6 - 9).\n   |- The departure day of Florence is Day 7. The arrival day of Prague is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n   |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n |- Try arranging to visit Hamburg from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Hamburg.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 9).\n |- The departure day of Hamburg is Day 5. The arrival day of Prague is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Hamburg].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Amsterdam, Santorini, Florence] and explore these options in order.\n   |- Try arranging to visit London from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Amsterdam from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Hamburg to Amsterdam.\n   |- No. Drop this branch.\n   |- Try arranging to visit Santorini from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n   |- Check for direct flight from Hamburg to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Hamburg to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n |- Try arranging to visit Amsterdam from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Amsterdam.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 9).\n |- The departure day of Amsterdam is Day 2. The arrival day of Prague is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Amsterdam].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Hamburg, Santorini, Florence] and explore these options in order.\n   |- Try arranging to visit London from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Amsterdam to London.\n   |- No. Drop this branch.\n   |- Try arranging to visit Hamburg from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Amsterdam to Hamburg.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Prague (Day 6 - 9).\n   |- The departure day of Hamburg is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Amsterdam, Hamburg].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from Hamburg to Prague.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Amsterdam to Santorini.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Amsterdam to Florence.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Santorini from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Prague (Day 6 - 9).\n |- The departure day of Santorini is Day 3. The arrival day of Prague is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [London, Hamburg, Amsterdam, Florence] and explore these options in order.\n   |- Try arranging to visit London from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Santorini to London.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Prague (Day 6 - 9).\n   |- The departure day of London is Day 6. The arrival day of Prague is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Santorini, London].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- Yes. The city with an arrival day of Day 6 - is fixed: Prague.\n     |- Try arranging to visit Prague from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n     |- Check for direct flight from London to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Barcelona (Day 12 - 15).\n     |- The departure day of Prague is Day 9. The arrival day of Barcelona is Day 12. Day 9 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Santorini, London, Prague].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Hamburg, Amsterdam, Florence] and explore these options in order.\n       |- Try arranging to visit Hamburg from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n       |- Check for direct flight from Prague to Hamburg.\n       |- No. Drop this branch.\n       |- Try arranging to visit Amsterdam from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Prague to Amsterdam.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Barcelona (Day 12 - 15).\n       |- The departure day of Amsterdam is Day 10. The arrival day of Barcelona is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Santorini, London, Prague, Amsterdam].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Hamburg, Florence] and explore these options in order.\n         |- Try arranging to visit Hamburg from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Amsterdam to Hamburg.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Barcelona (Day 12 - 15).\n         |- The departure day of Hamburg is Day 14. The arrival day of Barcelona is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Florence from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Amsterdam to Florence.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Florence from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Prague to Florence.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Barcelona (Day 12 - 15).\n       |- The departure day of Florence is Day 12. The arrival day of Barcelona is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Santorini, London, Prague, Florence].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- Yes. The city with an arrival day of Day 12 - is fixed: Barcelona.\n         |- Try arranging to visit Barcelona from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Florence to Barcelona.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Vilnius (Day 16 - 19).\n         |- The departure day of Barcelona is Day 15. The arrival day of Vilnius is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 15. Current plan: [Santorini, London, Prague, Florence, Barcelona].\n          |- Check whether the city with an arrival day of Day 15 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Hamburg, Amsterdam] and explore these options in order.\n           |- Try arranging to visit Hamburg from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n           |- Check for direct flight from Barcelona to Hamburg.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 16 - 19).\n           |- The departure day of Hamburg is Day 19. The arrival day of Vilnius is Day 16. Day 19 is later than (>) Day 16. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Amsterdam from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n           |- Check for direct flight from Barcelona to Amsterdam.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Vilnius (Day 16 - 19).\n           |- The departure day of Amsterdam is Day 16. The arrival day of Vilnius is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Santorini, London, Prague, Florence, Barcelona, Amsterdam].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Vilnius.\n             |- Try arranging to visit Vilnius from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Amsterdam to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Oslo (Day 19 - 23).\n             |- The departure day of Vilnius is Day 19. The arrival day of Oslo is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Santorini, London, Prague, Florence, Barcelona, Amsterdam, Vilnius].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- Yes. The city with an arrival day of Day 19 - is fixed: Oslo.\n               |- Try arranging to visit Oslo from Day 19. Duration: 5 days. Schedule: Day 19 - 23.\n               |- Check for direct flight from Vilnius to Oslo.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Split (Day 27 - 28).\n               |- The departure day of Oslo is Day 23. The arrival day of Split is Day 27. Day 23 is not later than (<=) Day 27. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Santorini, London, Prague, Florence, Barcelona, Amsterdam, Vilnius, Oslo].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Hamburg] and explore these options in order.\n                 |- Try arranging to visit Hamburg from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Oslo to Hamburg.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Split (Day 27 - 28).\n                 |- The departure day of Hamburg is Day 27. The arrival day of Split is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Santorini, London, Prague, Florence, Barcelona, Amsterdam, Vilnius, Oslo, Hamburg].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Split.\n                   |- Try arranging to visit Split from Day 27. Duration: 2 days. Schedule: Day 27 - 28.\n                   |- Check for direct flight from Hamburg to Split.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Santorini, London, Prague, Florence, Barcelona, Amsterdam, Vilnius, Oslo, Hamburg, Split].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Santorini and visit Santorini for 3 days.\n**Day 3:** Fly from Santorini to London.\n**Day 3-6:** Visit London for 4 days.\n**Day 6:** Fly from London to Prague.\n**Day 6-9:** Visit Prague for 4 days.\n**Day 9:** Fly from Prague to Florence.\n**Day 9-12:** Visit Florence for 4 days.\n**Day 12:** Fly from Florence to Barcelona.\n**Day 12-15:** Visit Barcelona for 4 days.\n**Day 15:** Fly from Barcelona to Amsterdam.\n**Day 15-16:** Visit Amsterdam for 2 days.\n**Day 16:** Fly from Amsterdam to Vilnius.\n**Day 16-19:** Visit Vilnius for 4 days.\n**Day 19:** Fly from Vilnius to Oslo.\n**Day 19-23:** Visit Oslo for 5 days.\n**Day 23:** Fly from Oslo to Hamburg.\n**Day 23-27:** Visit Hamburg for 5 days.\n**Day 27:** Fly from Hamburg to Split.\n**Day 27-28:** Visit Split for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Mykonos**Munich**Vienna**Santorini**Athens**Lisbon**Reykjavik**Prague**Split**Copenhagen",
    "ground_truth_durations": "2**3**4**4**4**4**4**4**4**4",
    "num_cities": 10,
    "total_days": 28,
    "constraints": [
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 7,
        "end_day": 10
      },
      {
        "type": "duration",
        "city": "Split",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Copenhagen",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Copenhagen",
        "start_day": 25,
        "end_day": 28
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Athens",
        "start_day": 10,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Lisbon",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Mykonos",
        "start_day": 1,
        "end_day": 2
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Reykjavik",
        "start_day": 16,
        "end_day": 19
      }
    ],
    "connected_cities": [
      [
        "Munich",
        "Prague"
      ],
      [
        "Vienna",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Prague"
      ],
      [
        "Athens",
        "Split"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Lisbon",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Split"
      ],
      [
        "Vienna",
        "Lisbon"
      ],
      [
        "Lisbon",
        "Reykjavik"
      ],
      [
        "Lisbon",
        "Prague"
      ],
      [
        "Split",
        "Copenhagen"
      ],
      [
        "Munich",
        "Athens"
      ],
      [
        "Reykjavik",
        "Copenhagen"
      ],
      [
        "Vienna",
        "Reykjavik"
      ],
      [
        "Munich",
        "Split"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Prague",
        "Split"
      ],
      [
        "Prague",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Munich",
        "Copenhagen"
      ],
      [
        "Santorini",
        "Copenhagen"
      ],
      [
        "Munich",
        "Reykjavik"
      ],
      [
        "Mykonos",
        "Athens"
      ],
      [
        "Munich",
        "Vienna"
      ],
      [
        "Vienna",
        "Santorini"
      ],
      [
        "Munich",
        "Lisbon"
      ],
      [
        "Mykonos",
        "Munich"
      ],
      [
        "Mykonos",
        "Vienna"
      ],
      [
        "Athens",
        "Lisbon"
      ],
      [
        "Vienna",
        "Athens"
      ],
      [
        "Reykjavik",
        "Athens"
      ],
      [
        "Athens",
        "Copenhagen"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 4 days. You want to spend 4 days in Santorini. You plan to visit relatives in Santorini between day 7 and day 10. You want to spend 4 days in Split. You want to spend 4 days in Prague. You would like to visit Copenhagen for 4 days. You would like to meet your friends at Copenhagen between day 25 and day 28 to tour together. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 10 and day 13. You would like to visit Lisbon for 4 days. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 1 and day 2. You want to spend 3 days in Munich. You plan to stay in Reykjavik for 4 days. From day 16 to day 19, there is a annual show you want to attend in Reykjavik.\n\nHere are the cities that have direct flights:\nMunich and Prague, Vienna and Copenhagen, Vienna and Prague, Athens and Split, Reykjavik and Prague, Lisbon and Copenhagen, Vienna and Split, Vienna and Lisbon, Lisbon and Reykjavik, Lisbon and Prague, Split and Copenhagen, Munich and Athens, Reykjavik and Copenhagen, Vienna and Reykjavik, Munich and Split, Athens and Prague, Prague and Split, Prague and Copenhagen, Santorini and Athens, Munich and Copenhagen, Santorini and Copenhagen, Munich and Reykjavik, Mykonos and Athens, Munich and Vienna, Vienna and Santorini, Munich and Lisbon, Mykonos and Munich, Mykonos and Vienna, Athens and Lisbon, Vienna and Athens, from Reykjavik to Athens, Athens and Copenhagen.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 28 days in total. You only take direct flights to commute between cities. You plan to stay in Vienna for 4 days. You want to spend 4 days in Santorini. You plan to visit relatives in Santorini between day 7 and day 10. You want to spend 4 days in Split. You want to spend 4 days in Prague. You would like to visit Copenhagen for 4 days. You would like to meet your friends at Copenhagen between day 25 and day 28 to tour together. You would like to visit Athens for 4 days. You are going to attend a wedding in Athens between day 10 and day 13. You would like to visit Lisbon for 4 days. You plan to stay in Mykonos for 2 days. You want to meet a friend in Mykonos between day 1 and day 2. You want to spend 3 days in Munich. You plan to stay in Reykjavik for 4 days. From day 16 to day 19, there is a annual show you want to attend in Reykjavik.\n\nHere are the cities that have direct flights:\nfrom Munich to Prague, from Vienna to Copenhagen, from Vienna to Prague, from Athens to Split, from Reykjavik to Prague, from Lisbon to Copenhagen, from Vienna to Split, from Vienna to Lisbon, from Lisbon to Reykjavik, from Lisbon to Prague, from Split to Copenhagen, from Munich to Athens, from Reykjavik to Copenhagen, from Vienna to Reykjavik, from Munich to Split, from Athens to Prague, from Prague to Split, from Prague to Copenhagen, from Santorini to Athens, from Munich to Copenhagen, from Santorini to Copenhagen, from Munich to Reykjavik, from Mykonos to Athens, from Munich to Vienna, from Vienna to Santorini, from Munich to Lisbon, from Mykonos to Munich, from Mykonos to Vienna, from Athens to Lisbon, from Vienna to Athens, from Reykjavik to Athens, from Athens to Copenhagen.\n\nFind a trip plan of visiting the cities for 28 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 28 days:\n\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Munich.\n**Day 2-4:** Visit Munich for 3 days.\n**Day 4:** Fly from Munich to Vienna.\n**Day 4-7:** Visit Vienna for 4 days.\n**Day 7:** Fly from Vienna to Santorini.\n**Day 7-10:** Visit Santorini for 4 days.\n**Day 10:** Fly from Santorini to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Lisbon.\n**Day 13-16:** Visit Lisbon for 4 days.\n**Day 16:** Fly from Lisbon to Reykjavik.\n**Day 16-19:** Visit Reykjavik for 4 days.\n**Day 19:** Fly from Reykjavik to Prague.\n**Day 19-22:** Visit Prague for 4 days.\n**Day 22:** Fly from Prague to Split.\n**Day 22-25:** Visit Split for 4 days.\n**Day 25:** Fly from Split to Copenhagen.\n**Day 25-28:** Visit Copenhagen for 4 days.",
    "id": "trip_planning_example_1593",
    "estimated_output_tokens": 3991,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Vienna, Duration: 4 days.\n* City: Santorini, Duration: 4 days, Fixed Schedule: Day 7 - 10.\n* City: Split, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Copenhagen, Duration: 4 days, Fixed Schedule: Day 25 - 28.\n* City: Athens, Duration: 4 days, Fixed Schedule: Day 10 - 13.\n* City: Lisbon, Duration: 4 days.\n* City: Mykonos, Duration: 2 days, Fixed Schedule: Day 1 - 2.\n* City: Munich, Duration: 3 days.\n* City: Reykjavik, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Mykonos, Fixed Schedule: Day 1 - 2.\n* City: Santorini, Fixed Schedule: Day 7 - 10.\n* City: Athens, Fixed Schedule: Day 10 - 13.\n* City: Reykjavik, Fixed Schedule: Day 16 - 19.\n* City: Copenhagen, Fixed Schedule: Day 25 - 28.\n\nCities needing arrangement:\n* City: Vienna, Duration: 4 days.\n* City: Split, Duration: 4 days.\n* City: Prague, Duration: 4 days.\n* City: Lisbon, Duration: 4 days.\n* City: Munich, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Mykonos.\n |- Try arranging to visit Mykonos from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Mykonos.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 7 - 10).\n |- The departure day of Mykonos is Day 2. The arrival day of Santorini is Day 7. Day 2 is not later than (<=) Day 7. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Mykonos].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Vienna, Split, Prague, Lisbon, Munich] and explore these options in order.\n   |- Try arranging to visit Vienna from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Vienna.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 7 - 10).\n   |- The departure day of Vienna is Day 5. The arrival day of Santorini is Day 7. Day 5 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Mykonos, Vienna].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Split, Prague, Lisbon, Munich] and explore these options in order.\n     |- Try arranging to visit Split from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Split.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 7 - 10).\n     |- The departure day of Split is Day 8. The arrival day of Santorini is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Prague from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Prague.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 7 - 10).\n     |- The departure day of Prague is Day 8. The arrival day of Santorini is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Lisbon from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Vienna to Lisbon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Santorini (Day 7 - 10).\n     |- The departure day of Lisbon is Day 8. The arrival day of Santorini is Day 7. Day 8 is later than (>) Day 7. This arrangement is incompatible. Drop this branch.\n     |- Try arranging to visit Munich from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Vienna to Munich.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Split from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Split.\n   |- No. Drop this branch.\n   |- Try arranging to visit Prague from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Prague.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lisbon from Day 2. Duration: 4 days. Schedule: Day 2 - 5.\n   |- Check for direct flight from Mykonos to Lisbon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Munich from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Mykonos to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Santorini (Day 7 - 10).\n   |- The departure day of Munich is Day 4. The arrival day of Santorini is Day 7. Day 4 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Mykonos, Munich].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Vienna, Split, Prague, Lisbon] and explore these options in order.\n     |- Try arranging to visit Vienna from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n     |- Check for direct flight from Munich to Vienna.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Santorini (Day 7 - 10).\n     |- The departure day of Vienna is Day 7. The arrival day of Santorini is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Mykonos, Munich, Vienna].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- Yes. The city with an arrival day of Day 7 - is fixed: Santorini.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Vienna to Santorini.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Athens (Day 10 - 13).\n       |- The departure day of Santorini is Day 10. The arrival day of Athens is Day 10. Day 10 is not later than (<=) Day 10. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Mykonos, Munich, Vienna, Santorini].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- Yes. The city with an arrival day of Day 10 - is fixed: Athens.\n         |- Try arranging to visit Athens from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Santorini to Athens.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Reykjavik (Day 16 - 19).\n         |- The departure day of Athens is Day 13. The arrival day of Reykjavik is Day 16. Day 13 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 13. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens].\n          |- Check whether the city with an arrival day of Day 13 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Split, Prague, Lisbon] and explore these options in order.\n           |- Try arranging to visit Split from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Athens to Split.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 16 - 19).\n           |- The departure day of Split is Day 16. The arrival day of Reykjavik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Split].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Split to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Prague from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Athens to Prague.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 16 - 19).\n           |- The departure day of Prague is Day 16. The arrival day of Reykjavik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Prague].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Prague to Reykjavik.\n             |- No. Drop this branch.\n             |- Fail to arrange any option on day 16 in the current arrangement. Drop this branch.\n           |- Try arranging to visit Lisbon from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n           |- Check for direct flight from Athens to Lisbon.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Reykjavik (Day 16 - 19).\n           |- The departure day of Lisbon is Day 16. The arrival day of Reykjavik is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Lisbon].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Reykjavik.\n             |- Try arranging to visit Reykjavik from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n             |- Check for direct flight from Lisbon to Reykjavik.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Copenhagen (Day 25 - 28).\n             |- The departure day of Reykjavik is Day 19. The arrival day of Copenhagen is Day 25. Day 19 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 19. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Lisbon, Reykjavik].\n              |- Check whether the city with an arrival day of Day 19 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Split, Prague] and explore these options in order.\n               |- Try arranging to visit Split from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Reykjavik to Split.\n               |- No. Drop this branch.\n               |- Try arranging to visit Prague from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n               |- Check for direct flight from Reykjavik to Prague.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: Copenhagen (Day 25 - 28).\n               |- The departure day of Prague is Day 22. The arrival day of Copenhagen is Day 25. Day 22 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Lisbon, Reykjavik, Prague].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Split] and explore these options in order.\n                 |- Try arranging to visit Split from Day 22. Duration: 4 days. Schedule: Day 22 - 25.\n                 |- Check for direct flight from Prague to Split.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Copenhagen (Day 25 - 28).\n                 |- The departure day of Split is Day 25. The arrival day of Copenhagen is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 25. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Lisbon, Reykjavik, Prague, Split].\n                  |- Check whether the city with an arrival day of Day 25 - is fixed.\n                  |- Yes. The city with an arrival day of Day 25 - is fixed: Copenhagen.\n                   |- Try arranging to visit Copenhagen from Day 25. Duration: 4 days. Schedule: Day 25 - 28.\n                   |- Check for direct flight from Split to Copenhagen.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 28. Current plan: [Mykonos, Munich, Vienna, Santorini, Athens, Lisbon, Reykjavik, Prague, Split, Copenhagen].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Mykonos and visit Mykonos for 2 days.\n**Day 2:** Fly from Mykonos to Munich.\n**Day 2-4:** Visit Munich for 3 days.\n**Day 4:** Fly from Munich to Vienna.\n**Day 4-7:** Visit Vienna for 4 days.\n**Day 7:** Fly from Vienna to Santorini.\n**Day 7-10:** Visit Santorini for 4 days.\n**Day 10:** Fly from Santorini to Athens.\n**Day 10-13:** Visit Athens for 4 days.\n**Day 13:** Fly from Athens to Lisbon.\n**Day 13-16:** Visit Lisbon for 4 days.\n**Day 16:** Fly from Lisbon to Reykjavik.\n**Day 16-19:** Visit Reykjavik for 4 days.\n**Day 19:** Fly from Reykjavik to Prague.\n**Day 19-22:** Visit Prague for 4 days.\n**Day 22:** Fly from Prague to Split.\n**Day 22-25:** Visit Split for 4 days.\n**Day 25:** Fly from Split to Copenhagen.\n**Day 25-28:** Visit Copenhagen for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Madrid**Manchester**London**Reykjavik**Prague**Tallinn**Vilnius**Istanbul**Zurich**Helsinki",
    "ground_truth_durations": "2**5**5**3**5**3**3**4**5**3",
    "num_cities": 10,
    "total_days": 29,
    "constraints": [
      {
        "type": "duration",
        "city": "Madrid",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "London",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 2,
        "end_day": 6
      },
      {
        "type": "duration",
        "city": "Zurich",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Zurich",
        "start_day": 23,
        "end_day": 27
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Istanbul",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 16,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Helsinki",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Helsinki",
        "start_day": 27,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Vilnius",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Tallinn",
        "Vilnius"
      ],
      [
        "Vilnius",
        "Helsinki"
      ],
      [
        "Manchester",
        "London"
      ],
      [
        "Madrid",
        "Istanbul"
      ],
      [
        "Madrid",
        "London"
      ],
      [
        "Prague",
        "Helsinki"
      ],
      [
        "Manchester",
        "Helsinki"
      ],
      [
        "London",
        "Reykjavik"
      ],
      [
        "Manchester",
        "Zurich"
      ],
      [
        "Istanbul",
        "Zurich"
      ],
      [
        "London",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Madrid"
      ],
      [
        "Vilnius",
        "Zurich"
      ],
      [
        "Prague",
        "Zurich"
      ],
      [
        "London",
        "Helsinki"
      ],
      [
        "Vilnius",
        "Istanbul"
      ],
      [
        "Istanbul",
        "Helsinki"
      ],
      [
        "Tallinn",
        "Zurich"
      ],
      [
        "Istanbul",
        "Tallinn"
      ],
      [
        "Prague",
        "Tallinn"
      ],
      [
        "Zurich",
        "Helsinki"
      ],
      [
        "Madrid",
        "Zurich"
      ],
      [
        "London",
        "Istanbul"
      ],
      [
        "Madrid",
        "Manchester"
      ],
      [
        "London",
        "Prague"
      ],
      [
        "Reykjavik",
        "Prague"
      ],
      [
        "Manchester",
        "Prague"
      ],
      [
        "Madrid",
        "Prague"
      ],
      [
        "Tallinn",
        "Helsinki"
      ],
      [
        "Prague",
        "Istanbul"
      ],
      [
        "Manchester",
        "Istanbul"
      ],
      [
        "Madrid",
        "Helsinki"
      ],
      [
        "Reykjavik",
        "Zurich"
      ],
      [
        "Reykjavik",
        "Helsinki"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 2 days. You want to spend 5 days in London. You plan to stay in Manchester for 5 days. You would like to meet your friends at Manchester between day 2 and day 6 to tour together. You plan to stay in Zurich for 5 days. From day 23 to day 27, there is a annual show you want to attend in Zurich. You would like to visit Reykjavik for 3 days. You plan to stay in Istanbul for 4 days. You want to spend 3 days in Tallinn. You want to meet a friend in Tallinn between day 16 and day 18. You want to spend 5 days in Prague. You want to spend 3 days in Helsinki. During day 27 and day 29, you have to attend a conference in Helsinki. You plan to stay in Vilnius for 3 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, Vilnius and Helsinki, Manchester and London, Madrid and Istanbul, Madrid and London, Prague and Helsinki, Manchester and Helsinki, London and Reykjavik, Manchester and Zurich, Istanbul and Zurich, London and Zurich, from Reykjavik to Madrid, Vilnius and Zurich, Prague and Zurich, London and Helsinki, Vilnius and Istanbul, Istanbul and Helsinki, Tallinn and Zurich, from Istanbul to Tallinn, Prague and Tallinn, Zurich and Helsinki, Madrid and Zurich, London and Istanbul, Madrid and Manchester, London and Prague, Reykjavik and Prague, Manchester and Prague, Madrid and Prague, Tallinn and Helsinki, Prague and Istanbul, Manchester and Istanbul, Madrid and Helsinki, Reykjavik and Zurich, Reykjavik and Helsinki.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 29 days in total. You only take direct flights to commute between cities. You would like to visit Madrid for 2 days. You want to spend 5 days in London. You plan to stay in Manchester for 5 days. You would like to meet your friends at Manchester between day 2 and day 6 to tour together. You plan to stay in Zurich for 5 days. From day 23 to day 27, there is a annual show you want to attend in Zurich. You would like to visit Reykjavik for 3 days. You plan to stay in Istanbul for 4 days. You want to spend 3 days in Tallinn. You want to meet a friend in Tallinn between day 16 and day 18. You want to spend 5 days in Prague. You want to spend 3 days in Helsinki. During day 27 and day 29, you have to attend a conference in Helsinki. You plan to stay in Vilnius for 3 days.\n\nHere are the cities that have direct flights:\nfrom Tallinn to Vilnius, from Vilnius to Helsinki, from Manchester to London, from Madrid to Istanbul, from Madrid to London, from Prague to Helsinki, from Manchester to Helsinki, from London to Reykjavik, from Manchester to Zurich, from Istanbul to Zurich, from London to Zurich, from Reykjavik to Madrid, from Vilnius to Zurich, from Prague to Zurich, from London to Helsinki, from Vilnius to Istanbul, from Istanbul to Helsinki, from Tallinn to Zurich, from Istanbul to Tallinn, from Prague to Tallinn, from Zurich to Helsinki, from Madrid to Zurich, from London to Istanbul, from Madrid to Manchester, from London to Prague, from Reykjavik to Prague, from Manchester to Prague, from Madrid to Prague, from Tallinn to Helsinki, from Prague to Istanbul, from Manchester to Istanbul, from Madrid to Helsinki, from Reykjavik to Zurich, from Reykjavik to Helsinki.\n\nFind a trip plan of visiting the cities for 29 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 29 days:\n\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Manchester.\n**Day 2-6:** Visit Manchester for 5 days.\n**Day 6:** Fly from Manchester to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-16:** Visit Prague for 5 days.\n**Day 16:** Fly from Prague to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.\n**Day 20:** Fly from Vilnius to Istanbul.\n**Day 20-23:** Visit Istanbul for 4 days.\n**Day 23:** Fly from Istanbul to Zurich.\n**Day 23-27:** Visit Zurich for 5 days.\n**Day 27:** Fly from Zurich to Helsinki.\n**Day 27-29:** Visit Helsinki for 3 days.",
    "id": "trip_planning_example_1594",
    "estimated_output_tokens": 2718,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Madrid, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Manchester, Duration: 5 days, Fixed Schedule: Day 2 - 6.\n* City: Zurich, Duration: 5 days, Fixed Schedule: Day 23 - 27.\n* City: Reykjavik, Duration: 3 days.\n* City: Istanbul, Duration: 4 days.\n* City: Tallinn, Duration: 3 days, Fixed Schedule: Day 16 - 18.\n* City: Prague, Duration: 5 days.\n* City: Helsinki, Duration: 3 days, Fixed Schedule: Day 27 - 29.\n* City: Vilnius, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 2 - 6.\n* City: Tallinn, Fixed Schedule: Day 16 - 18.\n* City: Zurich, Fixed Schedule: Day 23 - 27.\n* City: Helsinki, Fixed Schedule: Day 27 - 29.\n\nCities needing arrangement:\n* City: Madrid, Duration: 2 days.\n* City: London, Duration: 5 days.\n* City: Reykjavik, Duration: 3 days.\n* City: Istanbul, Duration: 4 days.\n* City: Prague, Duration: 5 days.\n* City: Vilnius, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Madrid, London, Reykjavik, Istanbul, Prague, Vilnius] and explore these options in order.\n |- Try arranging to visit Madrid from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Madrid.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Manchester (Day 2 - 6).\n |- The departure day of Madrid is Day 2. The arrival day of Manchester is Day 2. Day 2 is not later than (<=) Day 2. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Madrid].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- Yes. The city with an arrival day of Day 2 - is fixed: Manchester.\n   |- Try arranging to visit Manchester from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Madrid to Manchester.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Tallinn (Day 16 - 18).\n   |- The departure day of Manchester is Day 6. The arrival day of Tallinn is Day 16. Day 6 is not later than (<=) Day 16. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 6. Current plan: [Madrid, Manchester].\n    |- Check whether the city with an arrival day of Day 6 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [London, Reykjavik, Istanbul, Prague, Vilnius] and explore these options in order.\n     |- Try arranging to visit London from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n     |- Check for direct flight from Manchester to London.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Tallinn (Day 16 - 18).\n     |- The departure day of London is Day 10. The arrival day of Tallinn is Day 16. Day 10 is not later than (<=) Day 16. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 10. Current plan: [Madrid, Manchester, London].\n      |- Check whether the city with an arrival day of Day 10 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Reykjavik, Istanbul, Prague, Vilnius] and explore these options in order.\n       |- Try arranging to visit Reykjavik from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n       |- Check for direct flight from London to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Tallinn (Day 16 - 18).\n       |- The departure day of Reykjavik is Day 12. The arrival day of Tallinn is Day 16. Day 12 is not later than (<=) Day 16. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 12. Current plan: [Madrid, Manchester, London, Reykjavik].\n        |- Check whether the city with an arrival day of Day 12 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Istanbul, Prague, Vilnius] and explore these options in order.\n         |- Try arranging to visit Istanbul from Day 12. Duration: 4 days. Schedule: Day 12 - 15.\n         |- Check for direct flight from Reykjavik to Istanbul.\n         |- No. Drop this branch.\n         |- Try arranging to visit Prague from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n         |- Check for direct flight from Reykjavik to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Tallinn (Day 16 - 18).\n         |- The departure day of Prague is Day 16. The arrival day of Tallinn is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Madrid, Manchester, London, Reykjavik, Prague].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- Yes. The city with an arrival day of Day 16 - is fixed: Tallinn.\n           |- Try arranging to visit Tallinn from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n           |- Check for direct flight from Prague to Tallinn.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Zurich (Day 23 - 27).\n           |- The departure day of Tallinn is Day 18. The arrival day of Zurich is Day 23. Day 18 is not later than (<=) Day 23. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 18. Current plan: [Madrid, Manchester, London, Reykjavik, Prague, Tallinn].\n            |- Check whether the city with an arrival day of Day 18 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Istanbul, Vilnius] and explore these options in order.\n             |- Try arranging to visit Istanbul from Day 18. Duration: 4 days. Schedule: Day 18 - 21.\n             |- Check for direct flight from Tallinn to Istanbul.\n             |- No. Drop this branch.\n             |- Try arranging to visit Vilnius from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n             |- Check for direct flight from Tallinn to Vilnius.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Zurich (Day 23 - 27).\n             |- The departure day of Vilnius is Day 20. The arrival day of Zurich is Day 23. Day 20 is not later than (<=) Day 23. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 20. Current plan: [Madrid, Manchester, London, Reykjavik, Prague, Tallinn, Vilnius].\n              |- Check whether the city with an arrival day of Day 20 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Istanbul] and explore these options in order.\n               |- Try arranging to visit Istanbul from Day 20. Duration: 4 days. Schedule: Day 20 - 23.\n               |- Check for direct flight from Vilnius to Istanbul.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Zurich (Day 23 - 27).\n               |- The departure day of Istanbul is Day 23. The arrival day of Zurich is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 23. Current plan: [Madrid, Manchester, London, Reykjavik, Prague, Tallinn, Vilnius, Istanbul].\n                |- Check whether the city with an arrival day of Day 23 - is fixed.\n                |- Yes. The city with an arrival day of Day 23 - is fixed: Zurich.\n                 |- Try arranging to visit Zurich from Day 23. Duration: 5 days. Schedule: Day 23 - 27.\n                 |- Check for direct flight from Istanbul to Zurich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: Helsinki (Day 27 - 29).\n                 |- The departure day of Zurich is Day 27. The arrival day of Helsinki is Day 27. Day 27 is not later than (<=) Day 27. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 27. Current plan: [Madrid, Manchester, London, Reykjavik, Prague, Tallinn, Vilnius, Istanbul, Zurich].\n                  |- Check whether the city with an arrival day of Day 27 - is fixed.\n                  |- Yes. The city with an arrival day of Day 27 - is fixed: Helsinki.\n                   |- Try arranging to visit Helsinki from Day 27. Duration: 3 days. Schedule: Day 27 - 29.\n                   |- Check for direct flight from Zurich to Helsinki.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 27: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 29. Current plan: [Madrid, Manchester, London, Reykjavik, Prague, Tallinn, Vilnius, Istanbul, Zurich, Helsinki].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-2:** Arriving in Madrid and visit Madrid for 2 days.\n**Day 2:** Fly from Madrid to Manchester.\n**Day 2-6:** Visit Manchester for 5 days.\n**Day 6:** Fly from Manchester to London.\n**Day 6-10:** Visit London for 5 days.\n**Day 10:** Fly from London to Reykjavik.\n**Day 10-12:** Visit Reykjavik for 3 days.\n**Day 12:** Fly from Reykjavik to Prague.\n**Day 12-16:** Visit Prague for 5 days.\n**Day 16:** Fly from Prague to Tallinn.\n**Day 16-18:** Visit Tallinn for 3 days.\n**Day 18:** Fly from Tallinn to Vilnius.\n**Day 18-20:** Visit Vilnius for 3 days.\n**Day 20:** Fly from Vilnius to Istanbul.\n**Day 20-23:** Visit Istanbul for 4 days.\n**Day 23:** Fly from Istanbul to Zurich.\n**Day 23-27:** Visit Zurich for 5 days.\n**Day 27:** Fly from Zurich to Helsinki.\n**Day 27-29:** Visit Helsinki for 3 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Manchester**Santorini**Bucharest**Lyon**Valencia**Naples**Paris**Edinburgh**Amsterdam**Reykjavik",
    "ground_truth_durations": "4**4**2**2**3**5**2**4**4**5",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 16,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Manchester",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Manchester",
        "start_day": 1,
        "end_day": 4
      },
      {
        "type": "duration",
        "city": "Reykjavik",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Naples",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Naples",
        "start_day": 11,
        "end_day": 15
      },
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 19,
        "end_day": 22
      },
      {
        "type": "duration",
        "city": "Paris",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 4
      }
    ],
    "connected_cities": [
      [
        "Naples",
        "Paris"
      ],
      [
        "Bucharest",
        "Paris"
      ],
      [
        "Lyon",
        "Paris"
      ],
      [
        "Naples",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Lyon"
      ],
      [
        "Paris",
        "Reykjavik"
      ],
      [
        "Valencia",
        "Paris"
      ],
      [
        "Santorini",
        "Bucharest"
      ],
      [
        "Paris",
        "Amsterdam"
      ],
      [
        "Manchester",
        "Naples"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Valencia",
        "Amsterdam"
      ],
      [
        "Manchester",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Amsterdam"
      ],
      [
        "Bucharest",
        "Amsterdam"
      ],
      [
        "Edinburgh",
        "Amsterdam"
      ],
      [
        "Santorini",
        "Naples"
      ],
      [
        "Paris",
        "Edinburgh"
      ],
      [
        "Manchester",
        "Paris"
      ],
      [
        "Amsterdam",
        "Reykjavik"
      ],
      [
        "Lyon",
        "Valencia"
      ],
      [
        "Bucharest",
        "Valencia"
      ],
      [
        "Bucharest",
        "Naples"
      ],
      [
        "Manchester",
        "Bucharest"
      ],
      [
        "Valencia",
        "Naples"
      ],
      [
        "Manchester",
        "Santorini"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. You plan to stay in Valencia for 3 days. You plan to stay in Edinburgh for 4 days. From day 16 to day 19, there is a annual show you want to attend in Edinburgh. You would like to visit Bucharest for 2 days. You would like to visit Manchester for 4 days. During day 1 and day 4, you have to attend a conference in Manchester. You want to spend 5 days in Reykjavik. You plan to stay in Naples for 5 days. You plan to visit relatives in Naples between day 11 and day 15. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 19 and day 22. You would like to visit Paris for 2 days. You want to spend 4 days in Santorini.\n\nHere are the cities that have direct flights:\nNaples and Paris, Bucharest and Paris, Lyon and Paris, Naples and Amsterdam, Bucharest and Lyon, Paris and Reykjavik, Valencia and Paris, Santorini and Bucharest, Paris and Amsterdam, Manchester and Naples, Lyon and Amsterdam, Valencia and Amsterdam, Manchester and Amsterdam, Santorini and Amsterdam, Bucharest and Amsterdam, Edinburgh and Amsterdam, Santorini and Naples, Paris and Edinburgh, Manchester and Paris, Amsterdam and Reykjavik, Lyon and Valencia, Bucharest and Valencia, Bucharest and Naples, Manchester and Bucharest, Valencia and Naples, Manchester and Santorini.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You would like to visit Lyon for 2 days. You plan to stay in Valencia for 3 days. You plan to stay in Edinburgh for 4 days. From day 16 to day 19, there is a annual show you want to attend in Edinburgh. You would like to visit Bucharest for 2 days. You would like to visit Manchester for 4 days. During day 1 and day 4, you have to attend a conference in Manchester. You want to spend 5 days in Reykjavik. You plan to stay in Naples for 5 days. You plan to visit relatives in Naples between day 11 and day 15. You would like to visit Amsterdam for 4 days. You want to meet a friend in Amsterdam between day 19 and day 22. You would like to visit Paris for 2 days. You want to spend 4 days in Santorini.\n\nHere are the cities that have direct flights:\nfrom Naples to Paris, from Bucharest to Paris, from Lyon to Paris, from Naples to Amsterdam, from Bucharest to Lyon, from Paris to Reykjavik, from Valencia to Paris, from Santorini to Bucharest, from Paris to Amsterdam, from Manchester to Naples, from Lyon to Amsterdam, from Valencia to Amsterdam, from Manchester to Amsterdam, from Santorini to Amsterdam, from Bucharest to Amsterdam, from Edinburgh to Amsterdam, from Santorini to Naples, from Paris to Edinburgh, from Manchester to Paris, from Amsterdam to Reykjavik, from Lyon to Valencia, from Bucharest to Valencia, from Bucharest to Naples, from Manchester to Bucharest, from Valencia to Naples, from Manchester to Santorini.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Santorini.\n**Day 4-7:** Visit Santorini for 4 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Naples.\n**Day 11-15:** Visit Naples for 5 days.\n**Day 15:** Fly from Naples to Paris.\n**Day 15-16:** Visit Paris for 2 days.\n**Day 16:** Fly from Paris to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.\n**Day 19:** Fly from Edinburgh to Amsterdam.\n**Day 19-22:** Visit Amsterdam for 4 days.\n**Day 22:** Fly from Amsterdam to Reykjavik.\n**Day 22-26:** Visit Reykjavik for 5 days.",
    "id": "trip_planning_example_1595",
    "estimated_output_tokens": 7174,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Lyon, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Edinburgh, Duration: 4 days, Fixed Schedule: Day 16 - 19.\n* City: Bucharest, Duration: 2 days.\n* City: Manchester, Duration: 4 days, Fixed Schedule: Day 1 - 4.\n* City: Reykjavik, Duration: 5 days.\n* City: Naples, Duration: 5 days, Fixed Schedule: Day 11 - 15.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 19 - 22.\n* City: Paris, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Manchester, Fixed Schedule: Day 1 - 4.\n* City: Naples, Fixed Schedule: Day 11 - 15.\n* City: Edinburgh, Fixed Schedule: Day 16 - 19.\n* City: Amsterdam, Fixed Schedule: Day 19 - 22.\n\nCities needing arrangement:\n* City: Lyon, Duration: 2 days.\n* City: Valencia, Duration: 3 days.\n* City: Bucharest, Duration: 2 days.\n* City: Reykjavik, Duration: 5 days.\n* City: Paris, Duration: 2 days.\n* City: Santorini, Duration: 4 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Manchester.\n |- Try arranging to visit Manchester from Day 1. Duration: 4 days. Schedule: Day 1 - 4.\n |- Check for direct flight from the starting point to Manchester.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Naples (Day 11 - 15).\n |- The departure day of Manchester is Day 4. The arrival day of Naples is Day 11. Day 4 is not later than (<=) Day 11. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 4. Current plan: [Manchester].\n  |- Check whether the city with an arrival day of Day 4 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Bucharest, Reykjavik, Paris, Santorini] and explore these options in order.\n   |- Try arranging to visit Lyon from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Lyon.\n   |- No. Drop this branch.\n   |- Try arranging to visit Valencia from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n   |- Check for direct flight from Manchester to Valencia.\n   |- No. Drop this branch.\n   |- Try arranging to visit Bucharest from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Bucharest.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 11 - 15).\n   |- The departure day of Bucharest is Day 5. The arrival day of Naples is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Bucharest].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Reykjavik, Paris, Santorini] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Lyon.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 11 - 15).\n     |- The departure day of Lyon is Day 6. The arrival day of Naples is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Manchester, Bucharest, Lyon].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Paris, Santorini] and explore these options in order.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Lyon to Valencia.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 11 - 15).\n       |- The departure day of Valencia is Day 8. The arrival day of Naples is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Manchester, Bucharest, Lyon, Valencia].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Reykjavik, Paris, Santorini] and explore these options in order.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Valencia to Reykjavik.\n         |- No. Drop this branch.\n         |- Try arranging to visit Paris from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Valencia to Paris.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 11 - 15).\n         |- The departure day of Paris is Day 9. The arrival day of Naples is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 9. Current plan: [Manchester, Bucharest, Lyon, Valencia, Paris].\n          |- Check whether the city with an arrival day of Day 9 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Reykjavik, Santorini] and explore these options in order.\n           |- Try arranging to visit Reykjavik from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n           |- Check for direct flight from Paris to Reykjavik.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 11 - 15).\n           |- The departure day of Reykjavik is Day 13. The arrival day of Naples is Day 11. Day 13 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n           |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n           |- Check for direct flight from Paris to Santorini.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Valencia to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Lyon to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Lyon to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 11 - 15).\n       |- The departure day of Paris is Day 7. The arrival day of Naples is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 7. Current plan: [Manchester, Bucharest, Lyon, Paris].\n        |- Check whether the city with an arrival day of Day 7 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Santorini] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n         |- Check for direct flight from Paris to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n         |- Check for direct flight from Paris to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 11 - 15).\n         |- The departure day of Reykjavik is Day 11. The arrival day of Naples is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Manchester, Bucharest, Lyon, Paris, Reykjavik].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Reykjavik to Naples.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 11 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n         |- Check for direct flight from Paris to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Lyon to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Bucharest to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 11 - 15).\n     |- The departure day of Valencia is Day 7. The arrival day of Naples is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 7. Current plan: [Manchester, Bucharest, Valencia].\n      |- Check whether the city with an arrival day of Day 7 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Paris, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n       |- Check for direct flight from Valencia to Reykjavik.\n       |- No. Drop this branch.\n       |- Try arranging to visit Paris from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n       |- Check for direct flight from Valencia to Paris.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 11 - 15).\n       |- The departure day of Paris is Day 8. The arrival day of Naples is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 8. Current plan: [Manchester, Bucharest, Valencia, Paris].\n        |- Check whether the city with an arrival day of Day 8 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Reykjavik, Santorini] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n         |- Check for direct flight from Paris to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Reykjavik from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n         |- Check for direct flight from Paris to Reykjavik.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 11 - 15).\n         |- The departure day of Reykjavik is Day 12. The arrival day of Naples is Day 11. Day 12 is later than (>) Day 11. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Santorini from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n         |- Check for direct flight from Paris to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 7. Duration: 4 days. Schedule: Day 7 - 10.\n       |- Check for direct flight from Valencia to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 7 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Bucharest to Reykjavik.\n     |- No. Drop this branch.\n     |- Try arranging to visit Paris from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Bucharest to Paris.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 11 - 15).\n     |- The departure day of Paris is Day 6. The arrival day of Naples is Day 11. Day 6 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Manchester, Bucharest, Paris].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Reykjavik, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 6. Duration: 2 days. Schedule: Day 6 - 7.\n       |- Check for direct flight from Paris to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 6. Duration: 3 days. Schedule: Day 6 - 8.\n       |- Check for direct flight from Paris to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Reykjavik from Day 6. Duration: 5 days. Schedule: Day 6 - 10.\n       |- Check for direct flight from Paris to Reykjavik.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Naples (Day 11 - 15).\n       |- The departure day of Reykjavik is Day 10. The arrival day of Naples is Day 11. Day 10 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Manchester, Bucharest, Paris, Reykjavik].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Santorini] and explore these options in order.\n         |- Try arranging to visit Lyon from Day 10. Duration: 2 days. Schedule: Day 10 - 11.\n         |- Check for direct flight from Reykjavik to Lyon.\n         |- No. Drop this branch.\n         |- Try arranging to visit Valencia from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Reykjavik to Valencia.\n         |- No. Drop this branch.\n         |- Try arranging to visit Santorini from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Reykjavik to Santorini.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 10 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Santorini from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Paris to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Bucharest to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Reykjavik from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n   |- Check for direct flight from Manchester to Reykjavik.\n   |- No. Drop this branch.\n   |- Try arranging to visit Paris from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n   |- Check for direct flight from Manchester to Paris.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 11 - 15).\n   |- The departure day of Paris is Day 5. The arrival day of Naples is Day 11. Day 5 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Manchester, Paris].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Bucharest, Reykjavik, Santorini] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Paris to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Paris to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Paris to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Reykjavik from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n     |- Check for direct flight from Paris to Reykjavik.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Naples (Day 11 - 15).\n     |- The departure day of Reykjavik is Day 9. The arrival day of Naples is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 9. Current plan: [Manchester, Paris, Reykjavik].\n      |- Check whether the city with an arrival day of Day 9 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Bucharest, Santorini] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Reykjavik to Lyon.\n       |- No. Drop this branch.\n       |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n       |- Check for direct flight from Reykjavik to Valencia.\n       |- No. Drop this branch.\n       |- Try arranging to visit Bucharest from Day 9. Duration: 2 days. Schedule: Day 9 - 10.\n       |- Check for direct flight from Reykjavik to Bucharest.\n       |- No. Drop this branch.\n       |- Try arranging to visit Santorini from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n       |- Check for direct flight from Reykjavik to Santorini.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 9 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Santorini from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n     |- Check for direct flight from Paris to Santorini.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Santorini from Day 4. Duration: 4 days. Schedule: Day 4 - 7.\n   |- Check for direct flight from Manchester to Santorini.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Naples (Day 11 - 15).\n   |- The departure day of Santorini is Day 7. The arrival day of Naples is Day 11. Day 7 is not later than (<=) Day 11. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Manchester, Santorini].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Bucharest, Reykjavik, Paris] and explore these options in order.\n     |- Try arranging to visit Lyon from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Santorini to Lyon.\n     |- No. Drop this branch.\n     |- Try arranging to visit Valencia from Day 7. Duration: 3 days. Schedule: Day 7 - 9.\n     |- Check for direct flight from Santorini to Valencia.\n     |- No. Drop this branch.\n     |- Try arranging to visit Bucharest from Day 7. Duration: 2 days. Schedule: Day 7 - 8.\n     |- Check for direct flight from Santorini to Bucharest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Naples (Day 11 - 15).\n     |- The departure day of Bucharest is Day 8. The arrival day of Naples is Day 11. Day 8 is not later than (<=) Day 11. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Manchester, Santorini, Bucharest].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Lyon, Valencia, Reykjavik, Paris] and explore these options in order.\n       |- Try arranging to visit Lyon from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n       |- Check for direct flight from Bucharest to Lyon.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Naples (Day 11 - 15).\n       |- The departure day of Lyon is Day 9. The arrival day of Naples is Day 11. Day 9 is not later than (<=) Day 11. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Manchester, Santorini, Bucharest, Lyon].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Valencia, Reykjavik, Paris] and explore these options in order.\n         |- Try arranging to visit Valencia from Day 9. Duration: 3 days. Schedule: Day 9 - 11.\n         |- Check for direct flight from Lyon to Valencia.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Naples (Day 11 - 15).\n         |- The departure day of Valencia is Day 11. The arrival day of Naples is Day 11. Day 11 is not later than (<=) Day 11. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 11. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia].\n          |- Check whether the city with an arrival day of Day 11 - is fixed.\n          |- Yes. The city with an arrival day of Day 11 - is fixed: Naples.\n           |- Try arranging to visit Naples from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n           |- Check for direct flight from Valencia to Naples.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Edinburgh (Day 16 - 19).\n           |- The departure day of Naples is Day 15. The arrival day of Edinburgh is Day 16. Day 15 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 15. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia, Naples].\n            |- Check whether the city with an arrival day of Day 15 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Reykjavik, Paris] and explore these options in order.\n             |- Try arranging to visit Reykjavik from Day 15. Duration: 5 days. Schedule: Day 15 - 19.\n             |- Check for direct flight from Naples to Reykjavik.\n             |- No. Drop this branch.\n             |- Try arranging to visit Paris from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n             |- Check for direct flight from Naples to Paris.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Edinburgh (Day 16 - 19).\n             |- The departure day of Paris is Day 16. The arrival day of Edinburgh is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 16. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia, Naples, Paris].\n              |- Check whether the city with an arrival day of Day 16 - is fixed.\n              |- Yes. The city with an arrival day of Day 16 - is fixed: Edinburgh.\n               |- Try arranging to visit Edinburgh from Day 16. Duration: 4 days. Schedule: Day 16 - 19.\n               |- Check for direct flight from Paris to Edinburgh.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Amsterdam (Day 19 - 22).\n               |- The departure day of Edinburgh is Day 19. The arrival day of Amsterdam is Day 19. Day 19 is not later than (<=) Day 19. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia, Naples, Paris, Edinburgh].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- Yes. The city with an arrival day of Day 19 - is fixed: Amsterdam.\n                 |- Try arranging to visit Amsterdam from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Edinburgh to Amsterdam.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia, Naples, Paris, Edinburgh, Amsterdam].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Reykjavik] and explore these options in order.\n                   |- Try arranging to visit Reykjavik from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                   |- Check for direct flight from Amsterdam to Reykjavik.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Manchester, Santorini, Bucharest, Lyon, Valencia, Naples, Paris, Edinburgh, Amsterdam, Reykjavik].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-4:** Arriving in Manchester and visit Manchester for 4 days.\n**Day 4:** Fly from Manchester to Santorini.\n**Day 4-7:** Visit Santorini for 4 days.\n**Day 7:** Fly from Santorini to Bucharest.\n**Day 7-8:** Visit Bucharest for 2 days.\n**Day 8:** Fly from Bucharest to Lyon.\n**Day 8-9:** Visit Lyon for 2 days.\n**Day 9:** Fly from Lyon to Valencia.\n**Day 9-11:** Visit Valencia for 3 days.\n**Day 11:** Fly from Valencia to Naples.\n**Day 11-15:** Visit Naples for 5 days.\n**Day 15:** Fly from Naples to Paris.\n**Day 15-16:** Visit Paris for 2 days.\n**Day 16:** Fly from Paris to Edinburgh.\n**Day 16-19:** Visit Edinburgh for 4 days.\n**Day 19:** Fly from Edinburgh to Amsterdam.\n**Day 19-22:** Visit Amsterdam for 4 days.\n**Day 22:** Fly from Amsterdam to Reykjavik.\n**Day 22-26:** Visit Reykjavik for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Edinburgh**Barcelona**Budapest**Vienna**Stockholm**Munich**Bucharest**Riga**Warsaw**Krakow",
    "ground_truth_durations": "5**5**5**5**2**3**2**5**5**4",
    "num_cities": 10,
    "total_days": 32,
    "constraints": [
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Krakow",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Munich",
        "start_day": 18,
        "end_day": 20
      },
      {
        "type": "duration",
        "city": "Barcelona",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 25,
        "end_day": 29
      },
      {
        "type": "duration",
        "city": "Budapest",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Budapest",
        "start_day": 9,
        "end_day": 13
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stockholm",
        "start_day": 17,
        "end_day": 18
      },
      {
        "type": "duration",
        "city": "Riga",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Edinburgh",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Edinburgh",
        "start_day": 1,
        "end_day": 5
      },
      {
        "type": "duration",
        "city": "Vienna",
        "num_days": 5
      }
    ],
    "connected_cities": [
      [
        "Budapest",
        "Munich"
      ],
      [
        "Bucharest",
        "Riga"
      ],
      [
        "Munich",
        "Krakow"
      ],
      [
        "Munich",
        "Warsaw"
      ],
      [
        "Munich",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Stockholm"
      ],
      [
        "Barcelona",
        "Warsaw"
      ],
      [
        "Edinburgh",
        "Krakow"
      ],
      [
        "Barcelona",
        "Munich"
      ],
      [
        "Stockholm",
        "Krakow"
      ],
      [
        "Budapest",
        "Vienna"
      ],
      [
        "Barcelona",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Edinburgh",
        "Budapest"
      ],
      [
        "Barcelona",
        "Riga"
      ],
      [
        "Edinburgh",
        "Barcelona"
      ],
      [
        "Vienna",
        "Riga"
      ],
      [
        "Barcelona",
        "Budapest"
      ],
      [
        "Bucharest",
        "Warsaw"
      ],
      [
        "Vienna",
        "Krakow"
      ],
      [
        "Edinburgh",
        "Munich"
      ],
      [
        "Barcelona",
        "Bucharest"
      ],
      [
        "Edinburgh",
        "Riga"
      ],
      [
        "Vienna",
        "Stockholm"
      ],
      [
        "Warsaw",
        "Krakow"
      ],
      [
        "Barcelona",
        "Krakow"
      ],
      [
        "Riga",
        "Munich"
      ],
      [
        "Vienna",
        "Bucharest"
      ],
      [
        "Budapest",
        "Warsaw"
      ],
      [
        "Vienna",
        "Warsaw"
      ],
      [
        "Barcelona",
        "Vienna"
      ],
      [
        "Budapest",
        "Bucharest"
      ],
      [
        "Vienna",
        "Munich"
      ],
      [
        "Riga",
        "Warsaw"
      ],
      [
        "Stockholm",
        "Riga"
      ],
      [
        "Stockholm",
        "Warsaw"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You plan to stay in Krakow for 4 days. You plan to stay in Munich for 3 days. You have to attend a workshop in Munich between day 18 and day 20. You plan to stay in Barcelona for 5 days. You want to spend 5 days in Warsaw. During day 25 and day 29, you have to attend a conference in Warsaw. You plan to stay in Budapest for 5 days. From day 9 to day 13, there is a annual show you want to attend in Budapest. You plan to stay in Stockholm for 2 days. You would like to meet your friends at Stockholm between day 17 and day 18 to tour together. You would like to visit Riga for 5 days. You want to spend 5 days in Edinburgh. You want to meet a friend in Edinburgh between day 1 and day 5. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nBudapest and Munich, Bucharest and Riga, Munich and Krakow, Munich and Warsaw, Munich and Bucharest, Edinburgh and Stockholm, Barcelona and Warsaw, Edinburgh and Krakow, Barcelona and Munich, Stockholm and Krakow, Budapest and Vienna, Barcelona and Stockholm, Stockholm and Munich, Edinburgh and Budapest, Barcelona and Riga, Edinburgh and Barcelona, Vienna and Riga, Barcelona and Budapest, Bucharest and Warsaw, Vienna and Krakow, Edinburgh and Munich, Barcelona and Bucharest, Edinburgh and Riga, Vienna and Stockholm, Warsaw and Krakow, Barcelona and Krakow, from Riga to Munich, Vienna and Bucharest, Budapest and Warsaw, Vienna and Warsaw, Barcelona and Vienna, Budapest and Bucharest, Vienna and Munich, Riga and Warsaw, Stockholm and Riga, Stockholm and Warsaw.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 32 days in total. You only take direct flights to commute between cities. You would like to visit Bucharest for 2 days. You plan to stay in Krakow for 4 days. You plan to stay in Munich for 3 days. You have to attend a workshop in Munich between day 18 and day 20. You plan to stay in Barcelona for 5 days. You want to spend 5 days in Warsaw. During day 25 and day 29, you have to attend a conference in Warsaw. You plan to stay in Budapest for 5 days. From day 9 to day 13, there is a annual show you want to attend in Budapest. You plan to stay in Stockholm for 2 days. You would like to meet your friends at Stockholm between day 17 and day 18 to tour together. You would like to visit Riga for 5 days. You want to spend 5 days in Edinburgh. You want to meet a friend in Edinburgh between day 1 and day 5. You plan to stay in Vienna for 5 days.\n\nHere are the cities that have direct flights:\nfrom Budapest to Munich, from Bucharest to Riga, from Munich to Krakow, from Munich to Warsaw, from Munich to Bucharest, from Edinburgh to Stockholm, from Barcelona to Warsaw, from Edinburgh to Krakow, from Barcelona to Munich, from Stockholm to Krakow, from Budapest to Vienna, from Barcelona to Stockholm, from Stockholm to Munich, from Edinburgh to Budapest, from Barcelona to Riga, from Edinburgh to Barcelona, from Vienna to Riga, from Barcelona to Budapest, from Bucharest to Warsaw, from Vienna to Krakow, from Edinburgh to Munich, from Barcelona to Bucharest, from Edinburgh to Riga, from Vienna to Stockholm, from Warsaw to Krakow, from Barcelona to Krakow, from Riga to Munich, from Vienna to Bucharest, from Budapest to Warsaw, from Vienna to Warsaw, from Barcelona to Vienna, from Budapest to Bucharest, from Vienna to Munich, from Riga to Warsaw, from Stockholm to Riga, from Stockholm to Warsaw.\n\nFind a trip plan of visiting the cities for 32 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 32 days:\n\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Vienna.\n**Day 13-17:** Visit Vienna for 5 days.\n**Day 17:** Fly from Vienna to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.\n**Day 18:** Fly from Stockholm to Munich.\n**Day 18-20:** Visit Munich for 3 days.\n**Day 20:** Fly from Munich to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Warsaw.\n**Day 25-29:** Visit Warsaw for 5 days.\n**Day 29:** Fly from Warsaw to Krakow.\n**Day 29-32:** Visit Krakow for 4 days.",
    "id": "trip_planning_example_1596",
    "estimated_output_tokens": 3552,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Bucharest, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Munich, Duration: 3 days, Fixed Schedule: Day 18 - 20.\n* City: Barcelona, Duration: 5 days.\n* City: Warsaw, Duration: 5 days, Fixed Schedule: Day 25 - 29.\n* City: Budapest, Duration: 5 days, Fixed Schedule: Day 9 - 13.\n* City: Stockholm, Duration: 2 days, Fixed Schedule: Day 17 - 18.\n* City: Riga, Duration: 5 days.\n* City: Edinburgh, Duration: 5 days, Fixed Schedule: Day 1 - 5.\n* City: Vienna, Duration: 5 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Edinburgh, Fixed Schedule: Day 1 - 5.\n* City: Budapest, Fixed Schedule: Day 9 - 13.\n* City: Stockholm, Fixed Schedule: Day 17 - 18.\n* City: Munich, Fixed Schedule: Day 18 - 20.\n* City: Warsaw, Fixed Schedule: Day 25 - 29.\n\nCities needing arrangement:\n* City: Bucharest, Duration: 2 days.\n* City: Krakow, Duration: 4 days.\n* City: Barcelona, Duration: 5 days.\n* City: Riga, Duration: 5 days.\n* City: Vienna, Duration: 5 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Edinburgh.\n |- Try arranging to visit Edinburgh from Day 1. Duration: 5 days. Schedule: Day 1 - 5.\n |- Check for direct flight from the starting point to Edinburgh.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Budapest (Day 9 - 13).\n |- The departure day of Edinburgh is Day 5. The arrival day of Budapest is Day 9. Day 5 is not later than (<=) Day 9. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 5. Current plan: [Edinburgh].\n  |- Check whether the city with an arrival day of Day 5 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Bucharest, Krakow, Barcelona, Riga, Vienna] and explore these options in order.\n   |- Try arranging to visit Bucharest from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n   |- Check for direct flight from Edinburgh to Bucharest.\n   |- No. Drop this branch.\n   |- Try arranging to visit Krakow from Day 5. Duration: 4 days. Schedule: Day 5 - 8.\n   |- Check for direct flight from Edinburgh to Krakow.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 9 - 13).\n   |- The departure day of Krakow is Day 8. The arrival day of Budapest is Day 9. Day 8 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 8. Current plan: [Edinburgh, Krakow].\n    |- Check whether the city with an arrival day of Day 8 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Bucharest, Barcelona, Riga, Vienna] and explore these options in order.\n     |- Try arranging to visit Bucharest from Day 8. Duration: 2 days. Schedule: Day 8 - 9.\n     |- Check for direct flight from Krakow to Bucharest.\n     |- No. Drop this branch.\n     |- Try arranging to visit Barcelona from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Barcelona.\n     |- No. Drop this branch.\n     |- Try arranging to visit Riga from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Riga.\n     |- No. Drop this branch.\n     |- Try arranging to visit Vienna from Day 8. Duration: 5 days. Schedule: Day 8 - 12.\n     |- Check for direct flight from Krakow to Vienna.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 8 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Barcelona from Day 5. Duration: 5 days. Schedule: Day 5 - 9.\n   |- Check for direct flight from Edinburgh to Barcelona.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Budapest (Day 9 - 13).\n   |- The departure day of Barcelona is Day 9. The arrival day of Budapest is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 9. Current plan: [Edinburgh, Barcelona].\n    |- Check whether the city with an arrival day of Day 9 - is fixed.\n    |- Yes. The city with an arrival day of Day 9 - is fixed: Budapest.\n     |- Try arranging to visit Budapest from Day 9. Duration: 5 days. Schedule: Day 9 - 13.\n     |- Check for direct flight from Barcelona to Budapest.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stockholm (Day 17 - 18).\n     |- The departure day of Budapest is Day 13. The arrival day of Stockholm is Day 17. Day 13 is not later than (<=) Day 17. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 13. Current plan: [Edinburgh, Barcelona, Budapest].\n      |- Check whether the city with an arrival day of Day 13 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Bucharest, Krakow, Riga, Vienna] and explore these options in order.\n       |- Try arranging to visit Bucharest from Day 13. Duration: 2 days. Schedule: Day 13 - 14.\n       |- Check for direct flight from Budapest to Bucharest.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 17 - 18).\n       |- The departure day of Bucharest is Day 14. The arrival day of Stockholm is Day 17. Day 14 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 14. Current plan: [Edinburgh, Barcelona, Budapest, Bucharest].\n        |- Check whether the city with an arrival day of Day 14 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Krakow, Riga, Vienna] and explore these options in order.\n         |- Try arranging to visit Krakow from Day 14. Duration: 4 days. Schedule: Day 14 - 17.\n         |- Check for direct flight from Bucharest to Krakow.\n         |- No. Drop this branch.\n         |- Try arranging to visit Riga from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Bucharest to Riga.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stockholm (Day 17 - 18).\n         |- The departure day of Riga is Day 18. The arrival day of Stockholm is Day 17. Day 18 is later than (>) Day 17. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Vienna from Day 14. Duration: 5 days. Schedule: Day 14 - 18.\n         |- Check for direct flight from Bucharest to Vienna.\n         |- No. Drop this branch.\n         |- Fail to arrange any option on day 14 in the current arrangement. Drop this branch.\n       |- Try arranging to visit Krakow from Day 13. Duration: 4 days. Schedule: Day 13 - 16.\n       |- Check for direct flight from Budapest to Krakow.\n       |- No. Drop this branch.\n       |- Try arranging to visit Riga from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Budapest to Riga.\n       |- No. Drop this branch.\n       |- Try arranging to visit Vienna from Day 13. Duration: 5 days. Schedule: Day 13 - 17.\n       |- Check for direct flight from Budapest to Vienna.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 13: Stockholm (Day 17 - 18).\n       |- The departure day of Vienna is Day 17. The arrival day of Stockholm is Day 17. Day 17 is not later than (<=) Day 17. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 17. Current plan: [Edinburgh, Barcelona, Budapest, Vienna].\n        |- Check whether the city with an arrival day of Day 17 - is fixed.\n        |- Yes. The city with an arrival day of Day 17 - is fixed: Stockholm.\n         |- Try arranging to visit Stockholm from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n         |- Check for direct flight from Vienna to Stockholm.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Munich (Day 18 - 20).\n         |- The departure day of Stockholm is Day 18. The arrival day of Munich is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 18. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm].\n          |- Check whether the city with an arrival day of Day 18 - is fixed.\n          |- Yes. The city with an arrival day of Day 18 - is fixed: Munich.\n           |- Try arranging to visit Munich from Day 18. Duration: 3 days. Schedule: Day 18 - 20.\n           |- Check for direct flight from Stockholm to Munich.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Warsaw (Day 25 - 29).\n           |- The departure day of Munich is Day 20. The arrival day of Warsaw is Day 25. Day 20 is not later than (<=) Day 25. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 20. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm, Munich].\n            |- Check whether the city with an arrival day of Day 20 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Bucharest, Krakow, Riga] and explore these options in order.\n             |- Try arranging to visit Bucharest from Day 20. Duration: 2 days. Schedule: Day 20 - 21.\n             |- Check for direct flight from Munich to Bucharest.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: Warsaw (Day 25 - 29).\n             |- The departure day of Bucharest is Day 21. The arrival day of Warsaw is Day 25. Day 21 is not later than (<=) Day 25. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 21. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm, Munich, Bucharest].\n              |- Check whether the city with an arrival day of Day 21 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Krakow, Riga] and explore these options in order.\n               |- Try arranging to visit Krakow from Day 21. Duration: 4 days. Schedule: Day 21 - 24.\n               |- Check for direct flight from Bucharest to Krakow.\n               |- No. Drop this branch.\n               |- Try arranging to visit Riga from Day 21. Duration: 5 days. Schedule: Day 21 - 25.\n               |- Check for direct flight from Bucharest to Riga.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 21: Warsaw (Day 25 - 29).\n               |- The departure day of Riga is Day 25. The arrival day of Warsaw is Day 25. Day 25 is not later than (<=) Day 25. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 25. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm, Munich, Bucharest, Riga].\n                |- Check whether the city with an arrival day of Day 25 - is fixed.\n                |- Yes. The city with an arrival day of Day 25 - is fixed: Warsaw.\n                 |- Try arranging to visit Warsaw from Day 25. Duration: 5 days. Schedule: Day 25 - 29.\n                 |- Check for direct flight from Riga to Warsaw.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 25: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 29. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm, Munich, Bucharest, Riga, Warsaw].\n                  |- Check whether the city with an arrival day of Day 29 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Krakow] and explore these options in order.\n                   |- Try arranging to visit Krakow from Day 29. Duration: 4 days. Schedule: Day 29 - 32.\n                   |- Check for direct flight from Warsaw to Krakow.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 29: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 32. Current plan: [Edinburgh, Barcelona, Budapest, Vienna, Stockholm, Munich, Bucharest, Riga, Warsaw, Krakow].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-5:** Arriving in Edinburgh and visit Edinburgh for 5 days.\n**Day 5:** Fly from Edinburgh to Barcelona.\n**Day 5-9:** Visit Barcelona for 5 days.\n**Day 9:** Fly from Barcelona to Budapest.\n**Day 9-13:** Visit Budapest for 5 days.\n**Day 13:** Fly from Budapest to Vienna.\n**Day 13-17:** Visit Vienna for 5 days.\n**Day 17:** Fly from Vienna to Stockholm.\n**Day 17-18:** Visit Stockholm for 2 days.\n**Day 18:** Fly from Stockholm to Munich.\n**Day 18-20:** Visit Munich for 3 days.\n**Day 20:** Fly from Munich to Bucharest.\n**Day 20-21:** Visit Bucharest for 2 days.\n**Day 21:** Fly from Bucharest to Riga.\n**Day 21-25:** Visit Riga for 5 days.\n**Day 25:** Fly from Riga to Warsaw.\n**Day 25-29:** Visit Warsaw for 5 days.\n**Day 29:** Fly from Warsaw to Krakow.\n**Day 29-32:** Visit Krakow for 4 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Lyon**Oslo**Milan**Warsaw**Amsterdam**Florence**Frankfurt**Stuttgart**Stockholm**Tallinn",
    "ground_truth_durations": "3**3**2**4**4**3**2**2**3**2",
    "num_cities": 10,
    "total_days": 19,
    "constraints": [
      {
        "type": "duration",
        "city": "Amsterdam",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Amsterdam",
        "start_day": 9,
        "end_day": 12
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 4
      },
      {
        "type": "fixed",
        "city": "Warsaw",
        "start_day": 6,
        "end_day": 9
      },
      {
        "type": "duration",
        "city": "Oslo",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Stuttgart",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Stuttgart",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Tallinn",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Tallinn",
        "start_day": 18,
        "end_day": 19
      },
      {
        "type": "duration",
        "city": "Lyon",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Milan",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Florence"
      ],
      [
        "Amsterdam",
        "Tallinn"
      ],
      [
        "Oslo",
        "Stockholm"
      ],
      [
        "Warsaw",
        "Frankfurt"
      ],
      [
        "Stuttgart",
        "Stockholm"
      ],
      [
        "Oslo",
        "Milan"
      ],
      [
        "Milan",
        "Stockholm"
      ],
      [
        "Stockholm",
        "Tallinn"
      ],
      [
        "Amsterdam",
        "Stockholm"
      ],
      [
        "Amsterdam",
        "Stuttgart"
      ],
      [
        "Florence",
        "Frankfurt"
      ],
      [
        "Warsaw",
        "Amsterdam"
      ],
      [
        "Oslo",
        "Tallinn"
      ],
      [
        "Warsaw",
        "Stockholm"
      ],
      [
        "Oslo",
        "Warsaw"
      ],
      [
        "Oslo",
        "Frankfurt"
      ],
      [
        "Oslo",
        "Amsterdam"
      ],
      [
        "Milan",
        "Stuttgart"
      ],
      [
        "Frankfurt",
        "Stuttgart"
      ],
      [
        "Amsterdam",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Lyon",
        "Amsterdam"
      ],
      [
        "Lyon",
        "Oslo"
      ],
      [
        "Milan",
        "Amsterdam"
      ],
      [
        "Warsaw",
        "Stuttgart"
      ],
      [
        "Warsaw",
        "Tallinn"
      ],
      [
        "Frankfurt",
        "Tallinn"
      ],
      [
        "Lyon",
        "Frankfurt"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 4 days. You are going to attend a wedding in Amsterdam between day 9 and day 12. You want to spend 4 days in Warsaw. During day 6 and day 9, you have to attend a conference in Warsaw. You would like to visit Oslo for 3 days. You plan to stay in Florence for 3 days. You want to spend 2 days in Milan. You would like to visit Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 15 and day 16. You want to spend 3 days in Stockholm. You plan to stay in Frankfurt for 2 days. You would like to visit Tallinn for 2 days. From day 18 to day 19, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nMilan and Warsaw, Frankfurt and Stockholm, Amsterdam and Florence, Amsterdam and Tallinn, Oslo and Stockholm, Warsaw and Frankfurt, Stuttgart and Stockholm, Oslo and Milan, Milan and Stockholm, Stockholm and Tallinn, Amsterdam and Stockholm, Amsterdam and Stuttgart, Florence and Frankfurt, Warsaw and Amsterdam, Oslo and Tallinn, Warsaw and Stockholm, Oslo and Warsaw, Oslo and Frankfurt, Oslo and Amsterdam, Milan and Stuttgart, Frankfurt and Stuttgart, Amsterdam and Frankfurt, Milan and Frankfurt, Lyon and Amsterdam, Lyon and Oslo, Milan and Amsterdam, Warsaw and Stuttgart, Warsaw and Tallinn, Frankfurt and Tallinn, Lyon and Frankfurt.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 19 days in total. You only take direct flights to commute between cities. You plan to stay in Amsterdam for 4 days. You are going to attend a wedding in Amsterdam between day 9 and day 12. You want to spend 4 days in Warsaw. During day 6 and day 9, you have to attend a conference in Warsaw. You would like to visit Oslo for 3 days. You plan to stay in Florence for 3 days. You want to spend 2 days in Milan. You would like to visit Stuttgart for 2 days. You want to meet a friend in Stuttgart between day 15 and day 16. You want to spend 3 days in Stockholm. You plan to stay in Frankfurt for 2 days. You would like to visit Tallinn for 2 days. From day 18 to day 19, there is a annual show you want to attend in Tallinn. You want to spend 3 days in Lyon.\n\nHere are the cities that have direct flights:\nfrom Milan to Warsaw, from Frankfurt to Stockholm, from Amsterdam to Florence, from Amsterdam to Tallinn, from Oslo to Stockholm, from Warsaw to Frankfurt, from Stuttgart to Stockholm, from Oslo to Milan, from Milan to Stockholm, from Stockholm to Tallinn, from Amsterdam to Stockholm, from Amsterdam to Stuttgart, from Florence to Frankfurt, from Warsaw to Amsterdam, from Oslo to Tallinn, from Warsaw to Stockholm, from Oslo to Warsaw, from Oslo to Frankfurt, from Oslo to Amsterdam, from Milan to Stuttgart, from Frankfurt to Stuttgart, from Amsterdam to Frankfurt, from Milan to Frankfurt, from Lyon to Amsterdam, from Lyon to Oslo, from Milan to Amsterdam, from Warsaw to Stuttgart, from Warsaw to Tallinn, from Frankfurt to Tallinn, from Lyon to Frankfurt.\n\nFind a trip plan of visiting the cities for 19 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 19 days:\n\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Warsaw.\n**Day 6-9:** Visit Warsaw for 4 days.\n**Day 9:** Fly from Warsaw to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Florence.\n**Day 12-14:** Visit Florence for 3 days.\n**Day 14:** Fly from Florence to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Stuttgart.\n**Day 15-16:** Visit Stuttgart for 2 days.\n**Day 16:** Fly from Stuttgart to Stockholm.\n**Day 16-18:** Visit Stockholm for 3 days.\n**Day 18:** Fly from Stockholm to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.",
    "id": "trip_planning_example_1597",
    "estimated_output_tokens": 8541,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Amsterdam, Duration: 4 days, Fixed Schedule: Day 9 - 12.\n* City: Warsaw, Duration: 4 days, Fixed Schedule: Day 6 - 9.\n* City: Oslo, Duration: 3 days.\n* City: Florence, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n* City: Stuttgart, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Stockholm, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Tallinn, Duration: 2 days, Fixed Schedule: Day 18 - 19.\n* City: Lyon, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Warsaw, Fixed Schedule: Day 6 - 9.\n* City: Amsterdam, Fixed Schedule: Day 9 - 12.\n* City: Stuttgart, Fixed Schedule: Day 15 - 16.\n* City: Tallinn, Fixed Schedule: Day 18 - 19.\n\nCities needing arrangement:\n* City: Oslo, Duration: 3 days.\n* City: Florence, Duration: 3 days.\n* City: Milan, Duration: 2 days.\n* City: Stockholm, Duration: 3 days.\n* City: Frankfurt, Duration: 2 days.\n* City: Lyon, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Oslo, Florence, Milan, Stockholm, Frankfurt, Lyon] and explore these options in order.\n |- Try arranging to visit Oslo from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Oslo.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Oslo is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Oslo].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Florence, Milan, Stockholm, Frankfurt, Lyon] and explore these options in order.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n   |- The departure day of Milan is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Milan].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Frankfurt, Lyon] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 6 - 9).\n     |- The departure day of Stockholm is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Oslo, Milan, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Warsaw.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Milan to Frankfurt.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 6 - 9).\n     |- The departure day of Frankfurt is Day 5. The arrival day of Warsaw is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Oslo, Milan, Frankfurt].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Lyon] and explore these options in order.\n       |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Frankfurt to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Stockholm from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Frankfurt to Stockholm.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 6 - 9).\n       |- The departure day of Stockholm is Day 7. The arrival day of Warsaw is Day 6. Day 7 is later than (>) Day 6. This arrangement is incompatible. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Frankfurt to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Milan to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n   |- The departure day of Stockholm is Day 5. The arrival day of Warsaw is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Oslo, Stockholm].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Milan, Frankfurt, Lyon] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Stockholm to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Stockholm to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Oslo to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Oslo, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Milan, Stockholm, Lyon] and explore these options in order.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 6 - 9).\n     |- The departure day of Stockholm is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Oslo, Frankfurt, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Warsaw.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Oslo to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Florence from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Florence.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Florence is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Florence].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Milan, Stockholm, Frankfurt, Lyon] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Stockholm.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Florence to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n   |- The departure day of Frankfurt is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Florence, Frankfurt].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Milan, Stockholm, Lyon] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Frankfurt to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Warsaw (Day 6 - 9).\n     |- The departure day of Stockholm is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Florence, Frankfurt, Stockholm].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Stockholm to Warsaw.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 6 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Florence to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Milan from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Milan.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Milan is Day 2. The arrival day of Warsaw is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Milan].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Stockholm, Frankfurt, Lyon] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 6 - 9).\n   |- The departure day of Stockholm is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Milan, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Frankfurt, Lyon] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Frankfurt from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stockholm to Frankfurt.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Milan to Frankfurt.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 6 - 9).\n   |- The departure day of Frankfurt is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Milan, Frankfurt].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Stockholm, Lyon] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Frankfurt to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Frankfurt to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Stockholm from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Frankfurt to Stockholm.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n     |- The departure day of Stockholm is Day 5. The arrival day of Warsaw is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 5. Current plan: [Milan, Frankfurt, Stockholm].\n      |- Check whether the city with an arrival day of Day 5 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Lyon] and explore these options in order.\n       |- Try arranging to visit Oslo from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stockholm to Oslo.\n       |- No. Drop this branch.\n       |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stockholm to Florence.\n       |- No. Drop this branch.\n       |- Try arranging to visit Lyon from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n       |- Check for direct flight from Stockholm to Lyon.\n       |- No. Drop this branch.\n       |- Fail to arrange any option on day 5 in the current arrangement. Drop this branch.\n     |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n     |- Check for direct flight from Frankfurt to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Milan to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Stockholm from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Stockholm.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Stockholm is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Stockholm].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Milan, Frankfurt, Lyon] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Frankfurt from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Stockholm to Frankfurt.\n   |- No. Drop this branch.\n   |- Try arranging to visit Lyon from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Stockholm to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n |- Try arranging to visit Frankfurt from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Frankfurt.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Frankfurt is Day 2. The arrival day of Warsaw is Day 6. Day 2 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Frankfurt].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Milan, Stockholm, Lyon] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Oslo.\n   |- No. Drop this branch.\n   |- Try arranging to visit Florence from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Florence.\n   |- No. Drop this branch.\n   |- Try arranging to visit Milan from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Frankfurt to Milan.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Warsaw (Day 6 - 9).\n   |- The departure day of Stockholm is Day 4. The arrival day of Warsaw is Day 6. Day 4 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Frankfurt, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Milan, Lyon] and explore these options in order.\n     |- Try arranging to visit Oslo from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Oslo.\n     |- No. Drop this branch.\n     |- Try arranging to visit Florence from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 4. Duration: 2 days. Schedule: Day 4 - 5.\n     |- Check for direct flight from Stockholm to Milan.\n     |- No. Drop this branch.\n     |- Try arranging to visit Lyon from Day 4. Duration: 3 days. Schedule: Day 4 - 6.\n     |- Check for direct flight from Stockholm to Lyon.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 4 in the current arrangement. Drop this branch.\n   |- Try arranging to visit Lyon from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Frankfurt to Lyon.\n   |- No. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Lyon from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Lyon.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Warsaw (Day 6 - 9).\n |- The departure day of Lyon is Day 3. The arrival day of Warsaw is Day 6. Day 3 is not later than (<=) Day 6. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Lyon].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Oslo, Florence, Milan, Stockholm, Frankfurt] and explore these options in order.\n   |- Try arranging to visit Oslo from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Lyon to Oslo.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Warsaw (Day 6 - 9).\n   |- The departure day of Oslo is Day 5. The arrival day of Warsaw is Day 6. Day 5 is not later than (<=) Day 6. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 5. Current plan: [Lyon, Oslo].\n    |- Check whether the city with an arrival day of Day 5 - is fixed.\n    |- No. Consider possible options from cities needing arrangement: [Florence, Milan, Stockholm, Frankfurt] and explore these options in order.\n     |- Try arranging to visit Florence from Day 5. Duration: 3 days. Schedule: Day 5 - 7.\n     |- Check for direct flight from Oslo to Florence.\n     |- No. Drop this branch.\n     |- Try arranging to visit Milan from Day 5. Duration: 2 days. Schedule: Day 5 - 6.\n     |- Check for direct flight from Oslo to Milan.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 5: Warsaw (Day 6 - 9).\n     |- The departure day of Milan is Day 6. The arrival day of Warsaw is Day 6. Day 6 is not later than (<=) Day 6. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 6. Current plan: [Lyon, Oslo, Milan].\n      |- Check whether the city with an arrival day of Day 6 - is fixed.\n      |- Yes. The city with an arrival day of Day 6 - is fixed: Warsaw.\n       |- Try arranging to visit Warsaw from Day 6. Duration: 4 days. Schedule: Day 6 - 9.\n       |- Check for direct flight from Milan to Warsaw.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 6: Amsterdam (Day 9 - 12).\n       |- The departure day of Warsaw is Day 9. The arrival day of Amsterdam is Day 9. Day 9 is not later than (<=) Day 9. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 9. Current plan: [Lyon, Oslo, Milan, Warsaw].\n        |- Check whether the city with an arrival day of Day 9 - is fixed.\n        |- Yes. The city with an arrival day of Day 9 - is fixed: Amsterdam.\n         |- Try arranging to visit Amsterdam from Day 9. Duration: 4 days. Schedule: Day 9 - 12.\n         |- Check for direct flight from Warsaw to Amsterdam.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 9: Stuttgart (Day 15 - 16).\n         |- The departure day of Amsterdam is Day 12. The arrival day of Stuttgart is Day 15. Day 12 is not later than (<=) Day 15. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Florence, Stockholm, Frankfurt] and explore these options in order.\n           |- Try arranging to visit Florence from Day 12. Duration: 3 days. Schedule: Day 12 - 14.\n           |- Check for direct flight from Amsterdam to Florence.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Stuttgart (Day 15 - 16).\n           |- The departure day of Florence is Day 14. The arrival day of Stuttgart is Day 15. Day 14 is not later than (<=) Day 15. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 14. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam, Florence].\n            |- Check whether the city with an arrival day of Day 14 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Stockholm, Frankfurt] and explore these options in order.\n             |- Try arranging to visit Stockholm from Day 14. Duration: 3 days. Schedule: Day 14 - 16.\n             |- Check for direct flight from Florence to Stockholm.\n             |- No. Drop this branch.\n             |- Try arranging to visit Frankfurt from Day 14. Duration: 2 days. Schedule: Day 14 - 15.\n             |- Check for direct flight from Florence to Frankfurt.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 14: Stuttgart (Day 15 - 16).\n             |- The departure day of Frankfurt is Day 15. The arrival day of Stuttgart is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 15. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam, Florence, Frankfurt].\n              |- Check whether the city with an arrival day of Day 15 - is fixed.\n              |- Yes. The city with an arrival day of Day 15 - is fixed: Stuttgart.\n               |- Try arranging to visit Stuttgart from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n               |- Check for direct flight from Frankfurt to Stuttgart.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Tallinn (Day 18 - 19).\n               |- The departure day of Stuttgart is Day 16. The arrival day of Tallinn is Day 18. Day 16 is not later than (<=) Day 18. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 16. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam, Florence, Frankfurt, Stuttgart].\n                |- Check whether the city with an arrival day of Day 16 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Stockholm] and explore these options in order.\n                 |- Try arranging to visit Stockholm from Day 16. Duration: 3 days. Schedule: Day 16 - 18.\n                 |- Check for direct flight from Stuttgart to Stockholm.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Tallinn (Day 18 - 19).\n                 |- The departure day of Stockholm is Day 18. The arrival day of Tallinn is Day 18. Day 18 is not later than (<=) Day 18. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 18. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam, Florence, Frankfurt, Stuttgart, Stockholm].\n                  |- Check whether the city with an arrival day of Day 18 - is fixed.\n                  |- Yes. The city with an arrival day of Day 18 - is fixed: Tallinn.\n                   |- Try arranging to visit Tallinn from Day 18. Duration: 2 days. Schedule: Day 18 - 19.\n                   |- Check for direct flight from Stockholm to Tallinn.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 19. Current plan: [Lyon, Oslo, Milan, Warsaw, Amsterdam, Florence, Frankfurt, Stuttgart, Stockholm, Tallinn].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Lyon and visit Lyon for 3 days.\n**Day 3:** Fly from Lyon to Oslo.\n**Day 3-5:** Visit Oslo for 3 days.\n**Day 5:** Fly from Oslo to Milan.\n**Day 5-6:** Visit Milan for 2 days.\n**Day 6:** Fly from Milan to Warsaw.\n**Day 6-9:** Visit Warsaw for 4 days.\n**Day 9:** Fly from Warsaw to Amsterdam.\n**Day 9-12:** Visit Amsterdam for 4 days.\n**Day 12:** Fly from Amsterdam to Florence.\n**Day 12-14:** Visit Florence for 3 days.\n**Day 14:** Fly from Florence to Frankfurt.\n**Day 14-15:** Visit Frankfurt for 2 days.\n**Day 15:** Fly from Frankfurt to Stuttgart.\n**Day 15-16:** Visit Stuttgart for 2 days.\n**Day 16:** Fly from Stuttgart to Stockholm.\n**Day 16-18:** Visit Stockholm for 3 days.\n**Day 18:** Fly from Stockholm to Tallinn.\n**Day 18-19:** Visit Tallinn for 2 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Berlin**Stockholm**Santorini**Athens**Prague**Frankfurt**Hamburg**Warsaw**Munich**Mykonos",
    "ground_truth_durations": "3**2**5**3**3**5**2**3**4**5",
    "num_cities": 10,
    "total_days": 26,
    "constraints": [
      {
        "type": "duration",
        "city": "Berlin",
        "num_days": 3
      },
      {
        "type": "fixed",
        "city": "Berlin",
        "start_day": 1,
        "end_day": 3
      },
      {
        "type": "duration",
        "city": "Hamburg",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Hamburg",
        "start_day": 16,
        "end_day": 17
      },
      {
        "type": "duration",
        "city": "Munich",
        "num_days": 4
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Mykonos",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Santorini",
        "start_day": 4,
        "end_day": 8
      },
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 12,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Stockholm",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Warsaw",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Prague",
        "num_days": 3
      }
    ],
    "connected_cities": [
      [
        "Stockholm",
        "Warsaw"
      ],
      [
        "Athens",
        "Mykonos"
      ],
      [
        "Prague",
        "Munich"
      ],
      [
        "Frankfurt",
        "Munich"
      ],
      [
        "Stockholm",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Prague"
      ],
      [
        "Munich",
        "Mykonos"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Athens",
        "Warsaw"
      ],
      [
        "Hamburg",
        "Warsaw"
      ],
      [
        "Prague",
        "Frankfurt"
      ],
      [
        "Frankfurt",
        "Warsaw"
      ],
      [
        "Athens",
        "Prague"
      ],
      [
        "Stockholm",
        "Munich"
      ],
      [
        "Stockholm",
        "Santorini"
      ],
      [
        "Athens",
        "Hamburg"
      ],
      [
        "Hamburg",
        "Munich"
      ],
      [
        "Berlin",
        "Athens"
      ],
      [
        "Berlin",
        "Frankfurt"
      ],
      [
        "Stockholm",
        "Athens"
      ],
      [
        "Berlin",
        "Munich"
      ],
      [
        "Santorini",
        "Athens"
      ],
      [
        "Prague",
        "Warsaw"
      ],
      [
        "Frankfurt",
        "Hamburg"
      ],
      [
        "Warsaw",
        "Munich"
      ],
      [
        "Berlin",
        "Warsaw"
      ],
      [
        "Athens",
        "Munich"
      ],
      [
        "Stockholm",
        "Hamburg"
      ],
      [
        "Berlin",
        "Stockholm"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You want to meet a friend in Berlin between day 1 and day 3. You plan to stay in Hamburg for 2 days. During day 16 and day 17, you have to attend a conference in Hamburg. You plan to stay in Munich for 4 days. You want to spend 3 days in Athens. You would like to visit Mykonos for 5 days. You want to spend 5 days in Santorini. You are going to attend a wedding in Santorini between day 4 and day 8. You would like to visit Frankfurt for 5 days. You would like to meet your friends at Frankfurt between day 12 and day 16 to tour together. You would like to visit Stockholm for 2 days. You plan to stay in Warsaw for 3 days. You want to spend 3 days in Prague.\n\nHere are the cities that have direct flights:\nStockholm and Warsaw, Athens and Mykonos, Prague and Munich, Frankfurt and Munich, Stockholm and Frankfurt, Stockholm and Prague, Munich and Mykonos, Athens and Frankfurt, Athens and Warsaw, Hamburg and Warsaw, Prague and Frankfurt, Frankfurt and Warsaw, Athens and Prague, Stockholm and Munich, from Stockholm to Santorini, Athens and Hamburg, Hamburg and Munich, Berlin and Athens, Berlin and Frankfurt, Stockholm and Athens, Berlin and Munich, Santorini and Athens, Prague and Warsaw, Frankfurt and Hamburg, Warsaw and Munich, Berlin and Warsaw, Athens and Munich, Stockholm and Hamburg, Berlin and Stockholm.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 26 days in total. You only take direct flights to commute between cities. You want to spend 3 days in Berlin. You want to meet a friend in Berlin between day 1 and day 3. You plan to stay in Hamburg for 2 days. During day 16 and day 17, you have to attend a conference in Hamburg. You plan to stay in Munich for 4 days. You want to spend 3 days in Athens. You would like to visit Mykonos for 5 days. You want to spend 5 days in Santorini. You are going to attend a wedding in Santorini between day 4 and day 8. You would like to visit Frankfurt for 5 days. You would like to meet your friends at Frankfurt between day 12 and day 16 to tour together. You would like to visit Stockholm for 2 days. You plan to stay in Warsaw for 3 days. You want to spend 3 days in Prague.\n\nHere are the cities that have direct flights:\nfrom Stockholm to Warsaw, from Athens to Mykonos, from Prague to Munich, from Frankfurt to Munich, from Stockholm to Frankfurt, from Stockholm to Prague, from Munich to Mykonos, from Athens to Frankfurt, from Athens to Warsaw, from Hamburg to Warsaw, from Prague to Frankfurt, from Frankfurt to Warsaw, from Athens to Prague, from Stockholm to Munich, from Stockholm to Santorini, from Athens to Hamburg, from Hamburg to Munich, from Berlin to Athens, from Berlin to Frankfurt, from Stockholm to Athens, from Berlin to Munich, from Santorini to Athens, from Prague to Warsaw, from Frankfurt to Hamburg, from Warsaw to Munich, from Berlin to Warsaw, from Athens to Munich, from Stockholm to Hamburg, from Berlin to Stockholm.\n\nFind a trip plan of visiting the cities for 26 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 26 days:\n\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Prague.\n**Day 10-12:** Visit Prague for 3 days.\n**Day 12:** Fly from Prague to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Warsaw.\n**Day 17-19:** Visit Warsaw for 3 days.\n**Day 19:** Fly from Warsaw to Munich.\n**Day 19-22:** Visit Munich for 4 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.",
    "id": "trip_planning_example_1598",
    "estimated_output_tokens": 3801,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Berlin, Duration: 3 days, Fixed Schedule: Day 1 - 3.\n* City: Hamburg, Duration: 2 days, Fixed Schedule: Day 16 - 17.\n* City: Munich, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Santorini, Duration: 5 days, Fixed Schedule: Day 4 - 8.\n* City: Frankfurt, Duration: 5 days, Fixed Schedule: Day 12 - 16.\n* City: Stockholm, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Berlin, Fixed Schedule: Day 1 - 3.\n* City: Santorini, Fixed Schedule: Day 4 - 8.\n* City: Frankfurt, Fixed Schedule: Day 12 - 16.\n* City: Hamburg, Fixed Schedule: Day 16 - 17.\n\nCities needing arrangement:\n* City: Munich, Duration: 4 days.\n* City: Athens, Duration: 3 days.\n* City: Mykonos, Duration: 5 days.\n* City: Stockholm, Duration: 2 days.\n* City: Warsaw, Duration: 3 days.\n* City: Prague, Duration: 3 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nYes. The city with an arrival day of Day 1 - is fixed: Berlin.\n |- Try arranging to visit Berlin from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Berlin.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Santorini (Day 4 - 8).\n |- The departure day of Berlin is Day 3. The arrival day of Santorini is Day 4. Day 3 is not later than (<=) Day 4. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Berlin].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Munich, Athens, Mykonos, Stockholm, Warsaw, Prague] and explore these options in order.\n   |- Try arranging to visit Munich from Day 3. Duration: 4 days. Schedule: Day 3 - 6.\n   |- Check for direct flight from Berlin to Munich.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 4 - 8).\n   |- The departure day of Munich is Day 6. The arrival day of Santorini is Day 4. Day 6 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Athens from Day 3. Duration: 3 days. Schedule: Day 3 - 5.\n   |- Check for direct flight from Berlin to Athens.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 4 - 8).\n   |- The departure day of Athens is Day 5. The arrival day of Santorini is Day 4. Day 5 is later than (>) Day 4. This arrangement is incompatible. Drop this branch.\n   |- Try arranging to visit Mykonos from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Berlin to Mykonos.\n   |- No. Drop this branch.\n   |- Try arranging to visit Stockholm from Day 3. Duration: 2 days. Schedule: Day 3 - 4.\n   |- Check for direct flight from Berlin to Stockholm.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Santorini (Day 4 - 8).\n   |- The departure day of Stockholm is Day 4. The arrival day of Santorini is Day 4. Day 4 is not later than (<=) Day 4. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 4. Current plan: [Berlin, Stockholm].\n    |- Check whether the city with an arrival day of Day 4 - is fixed.\n    |- Yes. The city with an arrival day of Day 4 - is fixed: Santorini.\n     |- Try arranging to visit Santorini from Day 4. Duration: 5 days. Schedule: Day 4 - 8.\n     |- Check for direct flight from Stockholm to Santorini.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 4: Frankfurt (Day 12 - 16).\n     |- The departure day of Santorini is Day 8. The arrival day of Frankfurt is Day 12. Day 8 is not later than (<=) Day 12. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 8. Current plan: [Berlin, Stockholm, Santorini].\n      |- Check whether the city with an arrival day of Day 8 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Munich, Athens, Mykonos, Warsaw, Prague] and explore these options in order.\n       |- Try arranging to visit Munich from Day 8. Duration: 4 days. Schedule: Day 8 - 11.\n       |- Check for direct flight from Santorini to Munich.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 8. Duration: 3 days. Schedule: Day 8 - 10.\n       |- Check for direct flight from Santorini to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 8: Frankfurt (Day 12 - 16).\n       |- The departure day of Athens is Day 10. The arrival day of Frankfurt is Day 12. Day 10 is not later than (<=) Day 12. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 10. Current plan: [Berlin, Stockholm, Santorini, Athens].\n        |- Check whether the city with an arrival day of Day 10 - is fixed.\n        |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos, Warsaw, Prague] and explore these options in order.\n         |- Try arranging to visit Munich from Day 10. Duration: 4 days. Schedule: Day 10 - 13.\n         |- Check for direct flight from Athens to Munich.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 16).\n         |- The departure day of Munich is Day 13. The arrival day of Frankfurt is Day 12. Day 13 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Mykonos from Day 10. Duration: 5 days. Schedule: Day 10 - 14.\n         |- Check for direct flight from Athens to Mykonos.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 16).\n         |- The departure day of Mykonos is Day 14. The arrival day of Frankfurt is Day 12. Day 14 is later than (>) Day 12. This arrangement is incompatible. Drop this branch.\n         |- Try arranging to visit Warsaw from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Athens to Warsaw.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 16).\n         |- The departure day of Warsaw is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Berlin, Stockholm, Santorini, Athens, Warsaw].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Warsaw to Frankfurt.\n           |- No. Drop this branch.\n           |- Fail to arrange any option on day 12 in the current arrangement. Drop this branch.\n         |- Try arranging to visit Prague from Day 10. Duration: 3 days. Schedule: Day 10 - 12.\n         |- Check for direct flight from Athens to Prague.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 10: Frankfurt (Day 12 - 16).\n         |- The departure day of Prague is Day 12. The arrival day of Frankfurt is Day 12. Day 12 is not later than (<=) Day 12. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 12. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague].\n          |- Check whether the city with an arrival day of Day 12 - is fixed.\n          |- Yes. The city with an arrival day of Day 12 - is fixed: Frankfurt.\n           |- Try arranging to visit Frankfurt from Day 12. Duration: 5 days. Schedule: Day 12 - 16.\n           |- Check for direct flight from Prague to Frankfurt.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 12: Hamburg (Day 16 - 17).\n           |- The departure day of Frankfurt is Day 16. The arrival day of Hamburg is Day 16. Day 16 is not later than (<=) Day 16. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 16. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt].\n            |- Check whether the city with an arrival day of Day 16 - is fixed.\n            |- Yes. The city with an arrival day of Day 16 - is fixed: Hamburg.\n             |- Try arranging to visit Hamburg from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n             |- Check for direct flight from Frankfurt to Hamburg.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: None.\n             |- No following fixed schedules. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 17. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg].\n              |- Check whether the city with an arrival day of Day 17 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos, Warsaw] and explore these options in order.\n               |- Try arranging to visit Munich from Day 17. Duration: 4 days. Schedule: Day 17 - 20.\n               |- Check for direct flight from Hamburg to Munich.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 20. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg, Munich].\n                |- Check whether the city with an arrival day of Day 20 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Mykonos, Warsaw] and explore these options in order.\n                 |- Try arranging to visit Mykonos from Day 20. Duration: 5 days. Schedule: Day 20 - 24.\n                 |- Check for direct flight from Munich to Mykonos.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 20: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 24. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg, Munich, Mykonos].\n                  |- Check whether the city with an arrival day of Day 24 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Warsaw] and explore these options in order.\n                   |- Try arranging to visit Warsaw from Day 24. Duration: 3 days. Schedule: Day 24 - 26.\n                   |- Check for direct flight from Mykonos to Warsaw.\n                   |- No. Drop this branch.\n                   |- Fail to arrange any option on day 24 in the current arrangement. Drop this branch.\n                 |- Try arranging to visit Warsaw from Day 20. Duration: 3 days. Schedule: Day 20 - 22.\n                 |- Check for direct flight from Munich to Warsaw.\n                 |- No. Drop this branch.\n                 |- Fail to arrange any option on day 20 in the current arrangement. Drop this branch.\n               |- Try arranging to visit Mykonos from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n               |- Check for direct flight from Hamburg to Mykonos.\n               |- No. Drop this branch.\n               |- Try arranging to visit Warsaw from Day 17. Duration: 3 days. Schedule: Day 17 - 19.\n               |- Check for direct flight from Hamburg to Warsaw.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: None.\n               |- No following fixed schedules. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 19. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg, Warsaw].\n                |- Check whether the city with an arrival day of Day 19 - is fixed.\n                |- No. Consider possible options from cities needing arrangement: [Munich, Mykonos] and explore these options in order.\n                 |- Try arranging to visit Munich from Day 19. Duration: 4 days. Schedule: Day 19 - 22.\n                 |- Check for direct flight from Warsaw to Munich.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 19: None.\n                 |- No following fixed schedules. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 22. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg, Warsaw, Munich].\n                  |- Check whether the city with an arrival day of Day 22 - is fixed.\n                  |- No. Consider possible options from cities needing arrangement: [Mykonos] and explore these options in order.\n                   |- Try arranging to visit Mykonos from Day 22. Duration: 5 days. Schedule: Day 22 - 26.\n                   |- Check for direct flight from Munich to Mykonos.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 26. Current plan: [Berlin, Stockholm, Santorini, Athens, Prague, Frankfurt, Hamburg, Warsaw, Munich, Mykonos].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Berlin and visit Berlin for 3 days.\n**Day 3:** Fly from Berlin to Stockholm.\n**Day 3-4:** Visit Stockholm for 2 days.\n**Day 4:** Fly from Stockholm to Santorini.\n**Day 4-8:** Visit Santorini for 5 days.\n**Day 8:** Fly from Santorini to Athens.\n**Day 8-10:** Visit Athens for 3 days.\n**Day 10:** Fly from Athens to Prague.\n**Day 10-12:** Visit Prague for 3 days.\n**Day 12:** Fly from Prague to Frankfurt.\n**Day 12-16:** Visit Frankfurt for 5 days.\n**Day 16:** Fly from Frankfurt to Hamburg.\n**Day 16-17:** Visit Hamburg for 2 days.\n**Day 17:** Fly from Hamburg to Warsaw.\n**Day 17-19:** Visit Warsaw for 3 days.\n**Day 19:** Fly from Warsaw to Munich.\n**Day 19-22:** Visit Munich for 4 days.\n**Day 22:** Fly from Munich to Mykonos.\n**Day 22-26:** Visit Mykonos for 5 days.\n</Plan>"
  },
  {
    "ground_truth_cities": "Porto**Milan**Valencia**Athens**Bucharest**Santorini**Geneva**Nice**Frankfurt**Florence",
    "ground_truth_durations": "3**5**5**5**2**2**2**5**2**2",
    "num_cities": 10,
    "total_days": 24,
    "constraints": [
      {
        "type": "duration",
        "city": "Frankfurt",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Frankfurt",
        "start_day": 22,
        "end_day": 23
      },
      {
        "type": "duration",
        "city": "Bucharest",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Bucharest",
        "start_day": 15,
        "end_day": 16
      },
      {
        "type": "duration",
        "city": "Santorini",
        "num_days": 2
      },
      {
        "type": "duration",
        "city": "Valencia",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Valencia",
        "start_day": 7,
        "end_day": 11
      },
      {
        "type": "duration",
        "city": "Porto",
        "num_days": 3
      },
      {
        "type": "duration",
        "city": "Nice",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Athens",
        "num_days": 5
      },
      {
        "type": "duration",
        "city": "Florence",
        "num_days": 2
      },
      {
        "type": "fixed",
        "city": "Florence",
        "start_day": 23,
        "end_day": 24
      },
      {
        "type": "duration",
        "city": "Milan",
        "num_days": 5
      },
      {
        "type": "fixed",
        "city": "Milan",
        "start_day": 3,
        "end_day": 7
      },
      {
        "type": "duration",
        "city": "Geneva",
        "num_days": 2
      }
    ],
    "connected_cities": [
      [
        "Valencia",
        "Bucharest"
      ],
      [
        "Nice",
        "Frankfurt"
      ],
      [
        "Milan",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Santorini"
      ],
      [
        "Athens",
        "Santorini"
      ],
      [
        "Valencia",
        "Geneva"
      ],
      [
        "Porto",
        "Geneva"
      ],
      [
        "Valencia",
        "Frankfurt"
      ],
      [
        "Athens",
        "Frankfurt"
      ],
      [
        "Bucharest",
        "Frankfurt"
      ],
      [
        "Athens",
        "Bucharest"
      ],
      [
        "Porto",
        "Valencia"
      ],
      [
        "Milan",
        "Valencia"
      ],
      [
        "Santorini",
        "Geneva"
      ],
      [
        "Geneva",
        "Frankfurt"
      ],
      [
        "Milan",
        "Athens"
      ],
      [
        "Porto",
        "Milan"
      ],
      [
        "Geneva",
        "Nice"
      ],
      [
        "Athens",
        "Geneva"
      ],
      [
        "Valencia",
        "Athens"
      ],
      [
        "Milan",
        "Santorini"
      ],
      [
        "Porto",
        "Frankfurt"
      ],
      [
        "Porto",
        "Nice"
      ],
      [
        "Frankfurt",
        "Florence"
      ],
      [
        "Athens",
        "Nice"
      ]
    ],
    "original_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 22 and day 23. You want to spend 2 days in Bucharest. During day 15 and day 16, you have to attend a conference in Bucharest. You plan to stay in Santorini for 2 days. You want to spend 5 days in Valencia. From day 7 to day 11, there is a annual show you want to attend in Valencia. You want to spend 3 days in Porto. You want to spend 5 days in Nice. You want to spend 5 days in Athens. You would like to visit Florence for 2 days. You plan to visit relatives in Florence between day 23 and day 24. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 3 and day 7. You plan to stay in Geneva for 2 days.\n\nHere are the cities that have direct flights:\nValencia and Bucharest, Nice and Frankfurt, Milan and Frankfurt, Bucharest and Santorini, Athens and Santorini, Valencia and Geneva, Porto and Geneva, Valencia and Frankfurt, Athens and Frankfurt, Bucharest and Frankfurt, Athens and Bucharest, Porto and Valencia, Milan and Valencia, Santorini and Geneva, Geneva and Frankfurt, Milan and Athens, Porto and Milan, Geneva and Nice, Athens and Geneva, from Valencia to Athens, Milan and Santorini, Porto and Frankfurt, Porto and Nice, Frankfurt and Florence, Athens and Nice.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "disambig_question_text": "You plan to visit 10 European cities for 24 days in total. You only take direct flights to commute between cities. You would like to visit Frankfurt for 2 days. You have to attend a workshop in Frankfurt between day 22 and day 23. You want to spend 2 days in Bucharest. During day 15 and day 16, you have to attend a conference in Bucharest. You plan to stay in Santorini for 2 days. You want to spend 5 days in Valencia. From day 7 to day 11, there is a annual show you want to attend in Valencia. You want to spend 3 days in Porto. You want to spend 5 days in Nice. You want to spend 5 days in Athens. You would like to visit Florence for 2 days. You plan to visit relatives in Florence between day 23 and day 24. You plan to stay in Milan for 5 days. You are going to attend a wedding in Milan between day 3 and day 7. You plan to stay in Geneva for 2 days.\n\nHere are the cities that have direct flights:\nfrom Valencia to Bucharest, from Nice to Frankfurt, from Milan to Frankfurt, from Bucharest to Santorini, from Athens to Santorini, from Valencia to Geneva, from Porto to Geneva, from Valencia to Frankfurt, from Athens to Frankfurt, from Bucharest to Frankfurt, from Athens to Bucharest, from Porto to Valencia, from Milan to Valencia, from Santorini to Geneva, from Geneva to Frankfurt, from Milan to Athens, from Porto to Milan, from Geneva to Nice, from Athens to Geneva, from Valencia to Athens, from Milan to Santorini, from Porto to Frankfurt, from Porto to Nice, from Frankfurt to Florence, from Athens to Nice.\n\nFind a trip plan of visiting the cities for 24 days by taking direct flights to commute between them.",
    "ground_truth_plan": "Here is the trip plan for visiting the 10 European cities for 24 days:\n\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n**Day 16:** Fly from Bucharest to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n**Day 17:** Fly from Santorini to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Nice.\n**Day 18-22:** Visit Nice for 5 days.\n**Day 22:** Fly from Nice to Frankfurt.\n**Day 22-23:** Visit Frankfurt for 2 days.\n**Day 23:** Fly from Frankfurt to Florence.\n**Day 23-24:** Visit Florence for 2 days.",
    "id": "trip_planning_example_1599",
    "estimated_output_tokens": 3311,
    "solving_procedure": "<Solving Procedure>\nRead the requirements and identify the cities that have fixed schedules and the cities that need to be arranged.\n* City: Frankfurt, Duration: 2 days, Fixed Schedule: Day 22 - 23.\n* City: Bucharest, Duration: 2 days, Fixed Schedule: Day 15 - 16.\n* City: Santorini, Duration: 2 days.\n* City: Valencia, Duration: 5 days, Fixed Schedule: Day 7 - 11.\n* City: Porto, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Florence, Duration: 2 days, Fixed Schedule: Day 23 - 24.\n* City: Milan, Duration: 5 days, Fixed Schedule: Day 3 - 7.\n* City: Geneva, Duration: 2 days.\n\nCities that have fixed schedules (sorted by their arrival days):\n* City: Milan, Fixed Schedule: Day 3 - 7.\n* City: Valencia, Fixed Schedule: Day 7 - 11.\n* City: Bucharest, Fixed Schedule: Day 15 - 16.\n* City: Frankfurt, Fixed Schedule: Day 22 - 23.\n* City: Florence, Fixed Schedule: Day 23 - 24.\n\nCities needing arrangement:\n* City: Santorini, Duration: 2 days.\n* City: Porto, Duration: 3 days.\n* City: Nice, Duration: 5 days.\n* City: Athens, Duration: 5 days.\n* City: Geneva, Duration: 2 days.\n\nCurrent day: 1. Current plan: [].\nCheck whether the city with an arrival day of Day 1 - is fixed.\nNo. Consider possible options from cities needing arrangement: [Santorini, Porto, Nice, Athens, Geneva] and explore these options in order.\n |- Try arranging to visit Santorini from Day 1. Duration: 2 days. Schedule: Day 1 - 2.\n |- Check for direct flight from the starting point to Santorini.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 7).\n |- The departure day of Santorini is Day 2. The arrival day of Milan is Day 3. Day 2 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 2. Current plan: [Santorini].\n  |- Check whether the city with an arrival day of Day 2 - is fixed.\n  |- No. Consider possible options from cities needing arrangement: [Porto, Nice, Athens, Geneva] and explore these options in order.\n   |- Try arranging to visit Porto from Day 2. Duration: 3 days. Schedule: Day 2 - 4.\n   |- Check for direct flight from Santorini to Porto.\n   |- No. Drop this branch.\n   |- Try arranging to visit Nice from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Nice.\n   |- No. Drop this branch.\n   |- Try arranging to visit Athens from Day 2. Duration: 5 days. Schedule: Day 2 - 6.\n   |- Check for direct flight from Santorini to Athens.\n   |- No. Drop this branch.\n   |- Try arranging to visit Geneva from Day 2. Duration: 2 days. Schedule: Day 2 - 3.\n   |- Check for direct flight from Santorini to Geneva.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 2: Milan (Day 3 - 7).\n   |- The departure day of Geneva is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 3. Current plan: [Santorini, Geneva].\n    |- Check whether the city with an arrival day of Day 3 - is fixed.\n    |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n     |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n     |- Check for direct flight from Geneva to Milan.\n     |- No. Drop this branch.\n     |- Fail to arrange any option on day 3 in the current arrangement. Drop this branch.\n   |- Fail to arrange any option on day 2 in the current arrangement. Drop this branch.\n |- Try arranging to visit Porto from Day 1. Duration: 3 days. Schedule: Day 1 - 3.\n |- Check for direct flight from the starting point to Porto.\n |- Yes.\n |- Check whether this arrangement is compatible with the next fixed schedule after Day 1: Milan (Day 3 - 7).\n |- The departure day of Porto is Day 3. The arrival day of Milan is Day 3. Day 3 is not later than (<=) Day 3. This arrangement is compatible.\n |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n  |- Current day: 3. Current plan: [Porto].\n  |- Check whether the city with an arrival day of Day 3 - is fixed.\n  |- Yes. The city with an arrival day of Day 3 - is fixed: Milan.\n   |- Try arranging to visit Milan from Day 3. Duration: 5 days. Schedule: Day 3 - 7.\n   |- Check for direct flight from Porto to Milan.\n   |- Yes.\n   |- Check whether this arrangement is compatible with the next fixed schedule after Day 3: Valencia (Day 7 - 11).\n   |- The departure day of Milan is Day 7. The arrival day of Valencia is Day 7. Day 7 is not later than (<=) Day 7. This arrangement is compatible.\n   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n    |- Current day: 7. Current plan: [Porto, Milan].\n    |- Check whether the city with an arrival day of Day 7 - is fixed.\n    |- Yes. The city with an arrival day of Day 7 - is fixed: Valencia.\n     |- Try arranging to visit Valencia from Day 7. Duration: 5 days. Schedule: Day 7 - 11.\n     |- Check for direct flight from Milan to Valencia.\n     |- Yes.\n     |- Check whether this arrangement is compatible with the next fixed schedule after Day 7: Bucharest (Day 15 - 16).\n     |- The departure day of Valencia is Day 11. The arrival day of Bucharest is Day 15. Day 11 is not later than (<=) Day 15. This arrangement is compatible.\n     |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n      |- Current day: 11. Current plan: [Porto, Milan, Valencia].\n      |- Check whether the city with an arrival day of Day 11 - is fixed.\n      |- No. Consider possible options from cities needing arrangement: [Santorini, Nice, Athens, Geneva] and explore these options in order.\n       |- Try arranging to visit Santorini from Day 11. Duration: 2 days. Schedule: Day 11 - 12.\n       |- Check for direct flight from Valencia to Santorini.\n       |- No. Drop this branch.\n       |- Try arranging to visit Nice from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Nice.\n       |- No. Drop this branch.\n       |- Try arranging to visit Athens from Day 11. Duration: 5 days. Schedule: Day 11 - 15.\n       |- Check for direct flight from Valencia to Athens.\n       |- Yes.\n       |- Check whether this arrangement is compatible with the next fixed schedule after Day 11: Bucharest (Day 15 - 16).\n       |- The departure day of Athens is Day 15. The arrival day of Bucharest is Day 15. Day 15 is not later than (<=) Day 15. This arrangement is compatible.\n       |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n        |- Current day: 15. Current plan: [Porto, Milan, Valencia, Athens].\n        |- Check whether the city with an arrival day of Day 15 - is fixed.\n        |- Yes. The city with an arrival day of Day 15 - is fixed: Bucharest.\n         |- Try arranging to visit Bucharest from Day 15. Duration: 2 days. Schedule: Day 15 - 16.\n         |- Check for direct flight from Athens to Bucharest.\n         |- Yes.\n         |- Check whether this arrangement is compatible with the next fixed schedule after Day 15: Frankfurt (Day 22 - 23).\n         |- The departure day of Bucharest is Day 16. The arrival day of Frankfurt is Day 22. Day 16 is not later than (<=) Day 22. This arrangement is compatible.\n         |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n          |- Current day: 16. Current plan: [Porto, Milan, Valencia, Athens, Bucharest].\n          |- Check whether the city with an arrival day of Day 16 - is fixed.\n          |- No. Consider possible options from cities needing arrangement: [Santorini, Nice, Geneva] and explore these options in order.\n           |- Try arranging to visit Santorini from Day 16. Duration: 2 days. Schedule: Day 16 - 17.\n           |- Check for direct flight from Bucharest to Santorini.\n           |- Yes.\n           |- Check whether this arrangement is compatible with the next fixed schedule after Day 16: Frankfurt (Day 22 - 23).\n           |- The departure day of Santorini is Day 17. The arrival day of Frankfurt is Day 22. Day 17 is not later than (<=) Day 22. This arrangement is compatible.\n           |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n            |- Current day: 17. Current plan: [Porto, Milan, Valencia, Athens, Bucharest, Santorini].\n            |- Check whether the city with an arrival day of Day 17 - is fixed.\n            |- No. Consider possible options from cities needing arrangement: [Nice, Geneva] and explore these options in order.\n             |- Try arranging to visit Nice from Day 17. Duration: 5 days. Schedule: Day 17 - 21.\n             |- Check for direct flight from Santorini to Nice.\n             |- No. Drop this branch.\n             |- Try arranging to visit Geneva from Day 17. Duration: 2 days. Schedule: Day 17 - 18.\n             |- Check for direct flight from Santorini to Geneva.\n             |- Yes.\n             |- Check whether this arrangement is compatible with the next fixed schedule after Day 17: Frankfurt (Day 22 - 23).\n             |- The departure day of Geneva is Day 18. The arrival day of Frankfurt is Day 22. Day 18 is not later than (<=) Day 22. This arrangement is compatible.\n             |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n              |- Current day: 18. Current plan: [Porto, Milan, Valencia, Athens, Bucharest, Santorini, Geneva].\n              |- Check whether the city with an arrival day of Day 18 - is fixed.\n              |- No. Consider possible options from cities needing arrangement: [Nice] and explore these options in order.\n               |- Try arranging to visit Nice from Day 18. Duration: 5 days. Schedule: Day 18 - 22.\n               |- Check for direct flight from Geneva to Nice.\n               |- Yes.\n               |- Check whether this arrangement is compatible with the next fixed schedule after Day 18: Frankfurt (Day 22 - 23).\n               |- The departure day of Nice is Day 22. The arrival day of Frankfurt is Day 22. Day 22 is not later than (<=) Day 22. This arrangement is compatible.\n               |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                |- Current day: 22. Current plan: [Porto, Milan, Valencia, Athens, Bucharest, Santorini, Geneva, Nice].\n                |- Check whether the city with an arrival day of Day 22 - is fixed.\n                |- Yes. The city with an arrival day of Day 22 - is fixed: Frankfurt.\n                 |- Try arranging to visit Frankfurt from Day 22. Duration: 2 days. Schedule: Day 22 - 23.\n                 |- Check for direct flight from Nice to Frankfurt.\n                 |- Yes.\n                 |- Check whether this arrangement is compatible with the next fixed schedule after Day 22: Florence (Day 23 - 24).\n                 |- The departure day of Frankfurt is Day 23. The arrival day of Florence is Day 23. Day 23 is not later than (<=) Day 23. This arrangement is compatible.\n                 |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                  |- Current day: 23. Current plan: [Porto, Milan, Valencia, Athens, Bucharest, Santorini, Geneva, Nice, Frankfurt].\n                  |- Check whether the city with an arrival day of Day 23 - is fixed.\n                  |- Yes. The city with an arrival day of Day 23 - is fixed: Florence.\n                   |- Try arranging to visit Florence from Day 23. Duration: 2 days. Schedule: Day 23 - 24.\n                   |- Check for direct flight from Frankfurt to Florence.\n                   |- Yes.\n                   |- Check whether this arrangement is compatible with the next fixed schedule after Day 23: None.\n                   |- No following fixed schedules. This arrangement is compatible.\n                   |- This arrangement is feasible for now. Continue to arrange the rest of the plan.\n                    |- Current day: 24. Current plan: [Porto, Milan, Valencia, Athens, Bucharest, Santorini, Geneva, Nice, Frankfurt, Florence].\n                    |- All 10 cities are arranged. Complete plan is found!\n</Solving Procedure>\n\nOutput the plan in the required format:\n<Plan>\n**Day 1-3:** Arriving in Porto and visit Porto for 3 days.\n**Day 3:** Fly from Porto to Milan.\n**Day 3-7:** Visit Milan for 5 days.\n**Day 7:** Fly from Milan to Valencia.\n**Day 7-11:** Visit Valencia for 5 days.\n**Day 11:** Fly from Valencia to Athens.\n**Day 11-15:** Visit Athens for 5 days.\n**Day 15:** Fly from Athens to Bucharest.\n**Day 15-16:** Visit Bucharest for 2 days.\n**Day 16:** Fly from Bucharest to Santorini.\n**Day 16-17:** Visit Santorini for 2 days.\n**Day 17:** Fly from Santorini to Geneva.\n**Day 17-18:** Visit Geneva for 2 days.\n**Day 18:** Fly from Geneva to Nice.\n**Day 18-22:** Visit Nice for 5 days.\n**Day 22:** Fly from Nice to Frankfurt.\n**Day 22-23:** Visit Frankfurt for 2 days.\n**Day 23:** Fly from Frankfurt to Florence.\n**Day 23-24:** Visit Florence for 2 days.\n</Plan>"
  }
]